TSTP Solution File: SWC325+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC325+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Tue Apr 30 16:20:45 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 175
% Syntax : Number of formulae : 1017 ( 60 unt; 0 def)
% Number of atoms : 4322 (1149 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 5189 (1884 ~;2135 |; 787 &)
% ( 85 <=>; 298 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 9 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 9 con; 0-2 aty)
% Number of variables : 2007 (1656 !; 351 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1213,plain,
$false,
inference(avatar_sat_refutation,[],[f654,f664,f784,f1052,f1140,f1195,f1212]) ).
fof(f1212,plain,
( spl71_2
| ~ spl71_4 ),
inference(avatar_contradiction_clause,[],[f1211]) ).
fof(f1211,plain,
( $false
| spl71_2
| ~ spl71_4 ),
inference(global_subsumption,[],[f388,f387,f386,f385,f384,f410,f412,f413,f422,f637,f423,f424,f425,f426,f427,f430,f428,f635,f432,f431,f440,f448,f452,f451,f450,f463,f466,f481,f615,f492,f634,f503,f618,f515,f619,f527,f620,f539,f621,f550,f622,f623,f624,f625,f564,f626,f567,f566,f565,f570,f571,f572,f573,f574,f575,f628,f579,f578,f629,f583,f582,f581,f630,f586,f585,f633,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f377,f378,f379,f380,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f381,f382,f605,f610,f612,f638,f639,f640,f644,f483,f494,f506,f518,f530,f541,f552,f655,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f641,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f666,f667,f668,f669,f670,f671,f441,f672,f673,f674,f449,f459,f704,f705,f680,f681,f460,f731,f732,f707,f471,f708,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f437,f445,f461,f737,f738,f462,f464,f465,f739,f740,f467,f469,f741,f742,f553,f555,f557,f559,f758,f759,f569,f760,f761,f560,f561,f636,f684,f685,f686,f687,f409,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f768,f411,f699,f769,f700,f770,f701,f771,f702,f772,f703,f773,f711,f712,f713,f714,f715,f716,f415,f717,f718,f719,f720,f721,f722,f723,f724,f416,f725,f785,f726,f786,f727,f787,f728,f788,f729,f789,f730,f790,f417,f793,f418,f419,f421,f434,f435,f438,f442,f443,f446,f805,f806,f807,f468,f838,f809,f811,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f470,f878,f849,f851,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f472,f562,f888,f889,f890,f891,f918,f919,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f892,f920,f921,f922,f923,f938,f939,f893,f942,f943,f944,f945,f953,f954,f955,f956,f957,f958,f959,f960,f961,f563,f964,f965,f966,f967,f994,f995,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f968,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1016,f1017,f1015,f1019,f1020,f969,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1042,f1043,f1041,f1045,f1046,f924,f925,f577,f926,f927,f928,f929,f930,f931,f932,f933,f614,f1147,f934,f1148,f935,f1149,f936,f1150,f937,f1151,f946,f947,f948,f949,f950,f951,f952,f383,f1173,f1181,f1184,f1170,f1054,f1196,f1053,f1197,f645,f1198,f1200,f853,f1202,f813,f1204,f1205,f852,f1206,f812,f663,f653,f1210]) ).
fof(f1210,plain,
( nil = sK19
| spl71_2 ),
inference(subsumption_resolution,[],[f1209,f378]) ).
fof(f1209,plain,
( nil = sK19
| ~ ssList(sK19)
| spl71_2 ),
inference(subsumption_resolution,[],[f1207,f397]) ).
fof(f1207,plain,
( nil = sK19
| ~ ssList(nil)
| ~ ssList(sK19)
| spl71_2 ),
inference(resolution,[],[f653,f577]) ).
fof(f653,plain,
( ~ neq(sK19,nil)
| spl71_2 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl71_2
<=> neq(sK19,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_2])]) ).
fof(f663,plain,
( nil = sK18
| ~ spl71_4 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f661,plain,
( spl71_4
<=> nil = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_4])]) ).
fof(f812,plain,
( nil = sK18
| hd(sK18) = sK26(sK18) ),
inference(resolution,[],[f468,f377]) ).
fof(f1206,plain,
( hd(sK18) = sK26(sK18)
| nil = sK18 ),
inference(forward_demodulation,[],[f841,f382]) ).
fof(f841,plain,
( nil = sK18
| hd(sK20) = sK26(sK20) ),
inference(forward_demodulation,[],[f814,f382]) ).
fof(f814,plain,
( nil = sK20
| hd(sK20) = sK26(sK20) ),
inference(resolution,[],[f468,f379]) ).
fof(f852,plain,
( nil = sK18
| tl(sK18) = sK27(sK18) ),
inference(resolution,[],[f470,f377]) ).
fof(f1205,plain,
( tl(sK18) = sK27(sK18)
| nil = sK18 ),
inference(forward_demodulation,[],[f881,f382]) ).
fof(f881,plain,
( nil = sK18
| tl(sK20) = sK27(sK20) ),
inference(forward_demodulation,[],[f854,f382]) ).
fof(f854,plain,
( nil = sK20
| tl(sK20) = sK27(sK20) ),
inference(resolution,[],[f470,f379]) ).
fof(f1204,plain,
( nil != sK19
| nil != sK18 ),
inference(forward_demodulation,[],[f1203,f641]) ).
fof(f1203,plain,
( nil != sK18
| sK19 != app(nil,nil) ),
inference(subsumption_resolution,[],[f1164,f397]) ).
fof(f1164,plain,
( nil != sK18
| sK19 != app(nil,nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f1153]) ).
fof(f1153,plain,
( nil != sK18
| sK19 != app(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[],[f383,f641]) ).
fof(f813,plain,
( nil = sK19
| hd(sK19) = sK26(sK19) ),
inference(resolution,[],[f468,f378]) ).
fof(f1202,plain,
( hd(sK19) = sK26(sK19)
| nil = sK19 ),
inference(forward_demodulation,[],[f1201,f381]) ).
fof(f1201,plain,
( nil = sK19
| hd(sK21) = sK26(sK21) ),
inference(forward_demodulation,[],[f815,f381]) ).
fof(f815,plain,
( nil = sK21
| hd(sK21) = sK26(sK21) ),
inference(resolution,[],[f468,f380]) ).
fof(f853,plain,
( nil = sK19
| tl(sK19) = sK27(sK19) ),
inference(resolution,[],[f470,f378]) ).
fof(f1200,plain,
( tl(sK19) = sK27(sK19)
| nil = sK19 ),
inference(forward_demodulation,[],[f1199,f381]) ).
fof(f1199,plain,
( nil = sK19
| tl(sK21) = sK27(sK21) ),
inference(forward_demodulation,[],[f855,f381]) ).
fof(f855,plain,
( nil = sK21
| tl(sK21) = sK27(sK21) ),
inference(resolution,[],[f470,f380]) ).
fof(f1198,plain,
( ~ neq(sK19,nil)
| spl71_2 ),
inference(global_subsumption,[],[f388,f387,f386,f385,f384,f410,f412,f413,f422,f637,f423,f424,f425,f426,f427,f430,f428,f635,f432,f431,f440,f448,f452,f451,f450,f463,f466,f481,f615,f492,f634,f503,f618,f515,f619,f527,f620,f539,f621,f550,f622,f623,f624,f625,f564,f626,f567,f566,f565,f570,f571,f572,f573,f574,f575,f628,f579,f578,f629,f583,f582,f581,f630,f586,f585,f633,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f377,f378,f379,f380,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f381,f382,f605,f610,f612,f638,f639,f640,f644,f653,f483,f494,f506,f518,f530,f541,f552,f655,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f641,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f666,f667,f668,f669,f670,f671,f441,f672,f673,f674,f449,f459,f704,f705,f680,f681,f460,f731,f732,f707,f471,f708,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f437,f445,f461,f737,f738,f462,f464,f465,f739,f740,f467,f469,f741,f742,f553,f555,f557,f559,f758,f759,f569,f760,f761,f560,f561,f636,f684,f685,f686,f687,f409,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f768,f411,f699,f769,f700,f770,f701,f771,f702,f772,f703,f773,f711,f712,f713,f714,f715,f716,f415,f717,f718,f719,f720,f721,f722,f723,f724,f416,f725,f785,f726,f786,f727,f787,f728,f788,f729,f789,f730,f790,f417,f793,f418,f419,f421,f434,f435,f438,f442,f443,f446,f805,f806,f807,f468,f838,f809,f811,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f470,f878,f849,f851,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f472,f562,f888,f889,f890,f891,f918,f919,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f892,f920,f921,f922,f923,f938,f939,f893,f942,f943,f944,f945,f953,f954,f955,f956,f957,f958,f959,f960,f961,f563,f964,f965,f966,f967,f994,f995,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f968,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1016,f1017,f1015,f1019,f1020,f969,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1042,f1043,f1041,f1045,f1046,f924,f925,f577,f926,f927,f928,f929,f930,f931,f932,f933,f614,f1147,f934,f1148,f935,f1149,f936,f1150,f937,f1151,f946,f947,f948,f949,f950,f951,f952,f383,f1173,f1181,f1184,f1170,f1054,f1196,f1053,f1197,f645]) ).
fof(f645,plain,
( ~ neq(sK19,nil)
| ssList(sK23) ),
inference(forward_demodulation,[],[f386,f381]) ).
fof(f1197,plain,
( ~ neq(sK19,nil)
| spl71_2 ),
inference(global_subsumption,[],[f388,f387,f386,f385,f384,f410,f412,f413,f422,f637,f423,f424,f425,f426,f427,f430,f428,f635,f432,f431,f440,f448,f452,f451,f450,f463,f466,f481,f615,f492,f634,f503,f618,f515,f619,f527,f620,f539,f621,f550,f622,f623,f624,f625,f564,f626,f567,f566,f565,f570,f571,f572,f573,f574,f575,f628,f579,f578,f629,f583,f582,f581,f630,f586,f585,f633,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f377,f378,f379,f380,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f381,f382,f605,f610,f612,f638,f639,f640,f644,f653,f483,f494,f506,f518,f530,f541,f552,f655,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f641,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f666,f667,f668,f669,f670,f671,f441,f672,f673,f674,f449,f459,f704,f705,f680,f681,f460,f731,f732,f707,f471,f708,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f437,f445,f461,f737,f738,f462,f464,f465,f739,f740,f467,f469,f741,f742,f553,f555,f557,f559,f758,f759,f569,f760,f761,f560,f561,f636,f684,f685,f686,f687,f409,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f768,f411,f699,f769,f700,f770,f701,f771,f702,f772,f703,f773,f711,f712,f713,f714,f715,f716,f415,f717,f718,f719,f720,f721,f722,f723,f724,f416,f725,f785,f726,f786,f727,f787,f728,f788,f729,f789,f730,f790,f417,f793,f418,f419,f421,f434,f435,f438,f442,f443,f446,f805,f806,f807,f468,f838,f809,f811,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f470,f878,f849,f851,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f472,f562,f888,f889,f890,f891,f918,f919,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f892,f920,f921,f922,f923,f938,f939,f893,f942,f943,f944,f945,f953,f954,f955,f956,f957,f958,f959,f960,f961,f563,f964,f965,f966,f967,f994,f995,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f968,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1016,f1017,f1015,f1019,f1020,f969,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1042,f1043,f1041,f1045,f1046,f924,f925,f577,f645,f926,f927,f928,f929,f930,f931,f932,f933,f614,f1147,f934,f1148,f935,f1149,f936,f1150,f937,f1151,f946,f947,f948,f949,f950,f951,f952,f383,f1173,f1181,f1184,f1170,f1054,f1196,f1053]) ).
fof(f1053,plain,
( sK19 = app(sK23,cons(sK22,nil))
| ~ neq(sK19,nil) ),
inference(forward_demodulation,[],[f734,f381]) ).
fof(f734,plain,
( ~ neq(sK19,nil)
| sK21 = app(sK23,cons(sK22,nil)) ),
inference(forward_demodulation,[],[f388,f381]) ).
fof(f1196,plain,
( ~ neq(sK19,nil)
| spl71_2 ),
inference(global_subsumption,[],[f388,f387,f386,f385,f384,f410,f412,f413,f422,f637,f423,f424,f425,f426,f427,f430,f428,f635,f432,f431,f440,f448,f452,f451,f450,f463,f466,f481,f615,f492,f634,f503,f618,f515,f619,f527,f620,f539,f621,f550,f622,f623,f624,f625,f564,f626,f567,f566,f565,f570,f571,f572,f573,f574,f575,f628,f579,f578,f629,f583,f582,f581,f630,f586,f585,f633,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f377,f378,f379,f380,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f381,f382,f605,f610,f612,f638,f639,f640,f644,f653,f483,f494,f506,f518,f530,f541,f552,f655,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f641,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f666,f667,f668,f669,f670,f671,f441,f672,f673,f674,f449,f459,f704,f705,f680,f681,f460,f731,f732,f707,f471,f708,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f437,f445,f461,f737,f738,f462,f464,f465,f739,f740,f467,f469,f741,f742,f553,f555,f557,f559,f758,f759,f569,f760,f761,f560,f561,f636,f684,f685,f686,f687,f409,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f768,f411,f699,f769,f700,f770,f701,f771,f702,f772,f703,f773,f711,f712,f713,f714,f715,f716,f415,f717,f718,f719,f720,f721,f722,f723,f724,f416,f725,f785,f726,f786,f727,f787,f728,f788,f729,f789,f730,f790,f417,f793,f418,f419,f421,f434,f435,f438,f442,f443,f446,f805,f806,f807,f468,f838,f809,f811,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f470,f878,f849,f851,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f472,f562,f888,f889,f890,f891,f918,f919,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f892,f920,f921,f922,f923,f938,f939,f893,f942,f943,f944,f945,f953,f954,f955,f956,f957,f958,f959,f960,f961,f563,f964,f965,f966,f967,f994,f995,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f968,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1016,f1017,f1015,f1019,f1020,f969,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1042,f1043,f1041,f1045,f1046,f924,f925,f577,f1053,f645,f926,f927,f928,f929,f930,f931,f932,f933,f614,f1147,f934,f1148,f935,f1149,f936,f1150,f937,f1151,f946,f947,f948,f949,f950,f951,f952,f383,f1173,f1181,f1184,f1170,f1054]) ).
fof(f1054,plain,
( sK18 = app(cons(sK22,nil),sK23)
| ~ neq(sK19,nil) ),
inference(forward_demodulation,[],[f733,f382]) ).
fof(f733,plain,
( ~ neq(sK19,nil)
| sK20 = app(cons(sK22,nil),sK23) ),
inference(forward_demodulation,[],[f387,f381]) ).
fof(f1170,plain,
sK18 != sK19,
inference(forward_demodulation,[],[f1169,f707]) ).
fof(f1169,plain,
sK19 != app(nil,sK18),
inference(subsumption_resolution,[],[f1168,f397]) ).
fof(f1168,plain,
( sK19 != app(nil,sK18)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1163,f377]) ).
fof(f1163,plain,
( sK19 != app(nil,sK18)
| ~ ssList(sK18)
| ~ ssList(nil) ),
inference(trivial_inequality_removal,[],[f1154]) ).
fof(f1154,plain,
( sK18 != sK18
| sK19 != app(nil,sK18)
| ~ ssList(sK18)
| ~ ssList(nil) ),
inference(superposition,[],[f383,f680]) ).
fof(f1184,plain,
sK18 != sK19,
inference(subsumption_resolution,[],[f1183,f378]) ).
fof(f1183,plain,
( sK18 != sK19
| ~ ssList(sK19) ),
inference(subsumption_resolution,[],[f1182,f397]) ).
fof(f1182,plain,
( sK18 != sK19
| ~ ssList(nil)
| ~ ssList(sK19) ),
inference(subsumption_resolution,[],[f1158,f681]) ).
fof(f1158,plain,
( sK18 != sK19
| sK19 != app(sK19,nil)
| ~ ssList(nil)
| ~ ssList(sK19) ),
inference(superposition,[],[f383,f708]) ).
fof(f1181,plain,
sK18 != sK19,
inference(forward_demodulation,[],[f1180,f680]) ).
fof(f1180,plain,
sK19 != app(sK18,nil),
inference(subsumption_resolution,[],[f1179,f377]) ).
fof(f1179,plain,
( sK19 != app(sK18,nil)
| ~ ssList(sK18) ),
inference(subsumption_resolution,[],[f1162,f397]) ).
fof(f1162,plain,
( sK19 != app(sK18,nil)
| ~ ssList(nil)
| ~ ssList(sK18) ),
inference(trivial_inequality_removal,[],[f1157]) ).
fof(f1157,plain,
( sK18 != sK18
| sK19 != app(sK18,nil)
| ~ ssList(nil)
| ~ ssList(sK18) ),
inference(superposition,[],[f383,f707]) ).
fof(f1173,plain,
sK18 != sK19,
inference(subsumption_resolution,[],[f1172,f397]) ).
fof(f1172,plain,
( sK18 != sK19
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1171,f378]) ).
fof(f1171,plain,
( sK18 != sK19
| ~ ssList(sK19)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1155,f708]) ).
fof(f1155,plain,
( sK18 != sK19
| sK19 != app(nil,sK19)
| ~ ssList(sK19)
| ~ ssList(nil) ),
inference(superposition,[],[f383,f681]) ).
fof(f383,plain,
! [X6,X7] :
( app(X7,X6) != sK18
| app(X6,X7) != sK19
| ~ ssList(X7)
| ~ ssList(X6) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ( ~ neq(sK21,nil)
| ( sK21 = app(sK23,cons(sK22,nil))
& sK20 = app(cons(sK22,nil),sK23)
& ssList(sK23)
& ssItem(sK22) ) )
& ( nil != sK21
| nil = sK20 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != sK18
| app(X6,X7) != sK19
| ~ ssList(X7) )
| ~ ssList(X6) )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22,sK23])],[f100,f256,f255,f254,f253,f252,f251]) ).
fof(f251,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != X0
| app(X6,X7) != X1
| ~ ssList(X7) )
| ~ ssList(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != sK18
| app(X6,X7) != X1
| ~ ssList(X7) )
| ~ ssList(X6) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != sK18
| app(X6,X7) != X1
| ~ ssList(X7) )
| ~ ssList(X6) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != sK18
| app(X6,X7) != sK19
| ~ ssList(X7) )
| ~ ssList(X6) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != sK18
| app(X6,X7) != sK19
| ~ ssList(X7) )
| ~ ssList(X6) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK20
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = sK20 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != sK18
| app(X6,X7) != sK19
| ~ ssList(X7) )
| ~ ssList(X6) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK20
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = sK20 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != sK18
| app(X6,X7) != sK19
| ~ ssList(X7) )
| ~ ssList(X6) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( ~ neq(sK21,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK21
& app(cons(X4,nil),X5) = sK20
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != sK21
| nil = sK20 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != sK18
| app(X6,X7) != sK19
| ~ ssList(X7) )
| ~ ssList(X6) )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK21
& app(cons(X4,nil),X5) = sK20
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( sK21 = app(X5,cons(sK22,nil))
& sK20 = app(cons(sK22,nil),X5)
& ssList(X5) )
& ssItem(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
( ? [X5] :
( sK21 = app(X5,cons(sK22,nil))
& sK20 = app(cons(sK22,nil),X5)
& ssList(X5) )
=> ( sK21 = app(sK23,cons(sK22,nil))
& sK20 = app(cons(sK22,nil),sK23)
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != X0
| app(X6,X7) != X1
| ~ ssList(X7) )
| ~ ssList(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( app(X7,X6) != X0
| app(X6,X7) != X1
| ~ ssList(X7) )
| ~ ssList(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) ) )
| ( nil = X3
& nil != X2 )
| ? [X6] :
( ? [X7] :
( app(X7,X6) = X0
& app(X6,X7) = X1
& ssList(X7) )
& ssList(X6) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(X7,cons(X6,nil)) != X3
| app(cons(X6,nil),X7) != X2 ) ) ) )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( ? [X5] :
( app(X5,X4) = X0
& app(X4,X5) = X1
& ssList(X5) )
& ssList(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(X7,cons(X6,nil)) != X3
| app(cons(X6,nil),X7) != X2 ) ) ) )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( ? [X5] :
( app(X5,X4) = X0
& app(X4,X5) = X1
& ssList(X5) )
& ssList(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f952,plain,
! [X0] :
( sP10(X0)
| sK19 = tl(cons(sK43(X0),sK19)) ),
inference(resolution,[],[f893,f510]) ).
fof(f951,plain,
! [X0] :
( sP8(X0)
| sK19 = tl(cons(sK39(X0),sK19)) ),
inference(resolution,[],[f893,f499]) ).
fof(f950,plain,
! [X0] :
( sP8(X0)
| sK19 = tl(cons(sK38(X0),sK19)) ),
inference(resolution,[],[f893,f498]) ).
fof(f949,plain,
! [X0] :
( sP6(X0)
| sK19 = tl(cons(sK34(X0),sK19)) ),
inference(resolution,[],[f893,f488]) ).
fof(f948,plain,
! [X0] :
( sP6(X0)
| sK19 = tl(cons(sK33(X0),sK19)) ),
inference(resolution,[],[f893,f487]) ).
fof(f947,plain,
! [X0] :
( sP4(X0)
| sK19 = tl(cons(sK30(X0),sK19)) ),
inference(resolution,[],[f893,f478]) ).
fof(f946,plain,
! [X0] :
( sP4(X0)
| sK19 = tl(cons(sK29(X0),sK19)) ),
inference(resolution,[],[f893,f477]) ).
fof(f1151,plain,
! [X0] :
( sK18 = tl(cons(sK59(X0),sK18))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f937,f674]) ).
fof(f937,plain,
! [X0] :
( sP16(X0)
| sK18 = tl(cons(sK59(X0),sK18)) ),
inference(resolution,[],[f892,f546]) ).
fof(f1150,plain,
! [X0] :
( sK18 = tl(cons(sK58(X0),sK18))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f936,f674]) ).
fof(f936,plain,
! [X0] :
( sP16(X0)
| sK18 = tl(cons(sK58(X0),sK18)) ),
inference(resolution,[],[f892,f545]) ).
fof(f1149,plain,
! [X0] :
( sK18 = tl(cons(sK54(X0),sK18))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f935,f672]) ).
fof(f935,plain,
! [X0] :
( sP14(X0)
| sK18 = tl(cons(sK54(X0),sK18)) ),
inference(resolution,[],[f892,f535]) ).
fof(f1148,plain,
! [X0] :
( sK18 = tl(cons(sK53(X0),sK18))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f934,f672]) ).
fof(f934,plain,
! [X0] :
( sP14(X0)
| sK18 = tl(cons(sK53(X0),sK18)) ),
inference(resolution,[],[f892,f534]) ).
fof(f1147,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK28(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f1146]) ).
fof(f1146,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK28(cons(X0,nil)),nil)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f614,f472]) ).
fof(f614,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f473]) ).
fof(f473,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK28(X0),nil) = X0
& ssItem(sK28(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f285,f286]) ).
fof(f286,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK28(X0),nil) = X0
& ssItem(sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f285,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f933,plain,
! [X0] :
( sP12(X0)
| sK18 = tl(cons(sK49(X0),sK18)) ),
inference(resolution,[],[f892,f523]) ).
fof(f932,plain,
! [X0] :
( sP12(X0)
| sK18 = tl(cons(sK48(X0),sK18)) ),
inference(resolution,[],[f892,f522]) ).
fof(f931,plain,
! [X0] :
( sP10(X0)
| sK18 = tl(cons(sK44(X0),sK18)) ),
inference(resolution,[],[f892,f511]) ).
fof(f930,plain,
! [X0] :
( sP10(X0)
| sK18 = tl(cons(sK43(X0),sK18)) ),
inference(resolution,[],[f892,f510]) ).
fof(f929,plain,
! [X0] :
( sP8(X0)
| sK18 = tl(cons(sK39(X0),sK18)) ),
inference(resolution,[],[f892,f499]) ).
fof(f928,plain,
! [X0] :
( sP8(X0)
| sK18 = tl(cons(sK38(X0),sK18)) ),
inference(resolution,[],[f892,f498]) ).
fof(f927,plain,
! [X0] :
( sP6(X0)
| sK18 = tl(cons(sK34(X0),sK18)) ),
inference(resolution,[],[f892,f488]) ).
fof(f926,plain,
! [X0] :
( sP6(X0)
| sK18 = tl(cons(sK33(X0),sK18)) ),
inference(resolution,[],[f892,f487]) ).
fof(f577,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f925,plain,
! [X0] :
( sP4(X0)
| sK18 = tl(cons(sK30(X0),sK18)) ),
inference(resolution,[],[f892,f478]) ).
fof(f924,plain,
! [X0] :
( sP4(X0)
| sK18 = tl(cons(sK29(X0),sK18)) ),
inference(resolution,[],[f892,f477]) ).
fof(f1046,plain,
! [X0] :
( leq(X0,sK70)
| nil = cons(sK70,sK19)
| ~ sP0(cons(sK70,sK19),X0) ),
inference(superposition,[],[f438,f1041]) ).
fof(f1045,plain,
! [X0] :
( lt(X0,sK70)
| nil = cons(sK70,sK19)
| ~ sP2(cons(sK70,sK19),X0) ),
inference(superposition,[],[f446,f1041]) ).
fof(f1041,plain,
sK70 = hd(cons(sK70,sK19)),
inference(resolution,[],[f969,f604]) ).
fof(f1043,plain,
! [X0] :
( leq(X0,sK69)
| nil = cons(sK69,sK19)
| ~ sP0(cons(sK69,sK19),X0) ),
inference(superposition,[],[f438,f1040]) ).
fof(f1042,plain,
! [X0] :
( lt(X0,sK69)
| nil = cons(sK69,sK19)
| ~ sP2(cons(sK69,sK19),X0) ),
inference(superposition,[],[f446,f1040]) ).
fof(f1040,plain,
sK69 = hd(cons(sK69,sK19)),
inference(resolution,[],[f969,f603]) ).
fof(f1039,plain,
! [X0] :
( sK59(X0) = hd(cons(sK59(X0),sK19))
| sP16(X0) ),
inference(resolution,[],[f969,f546]) ).
fof(f1038,plain,
! [X0] :
( sK58(X0) = hd(cons(sK58(X0),sK19))
| sP16(X0) ),
inference(resolution,[],[f969,f545]) ).
fof(f1037,plain,
! [X0] :
( sK54(X0) = hd(cons(sK54(X0),sK19))
| sP14(X0) ),
inference(resolution,[],[f969,f535]) ).
fof(f1036,plain,
! [X0] :
( sK53(X0) = hd(cons(sK53(X0),sK19))
| sP14(X0) ),
inference(resolution,[],[f969,f534]) ).
fof(f1035,plain,
! [X0] :
( sK49(X0) = hd(cons(sK49(X0),sK19))
| sP12(X0) ),
inference(resolution,[],[f969,f523]) ).
fof(f1034,plain,
! [X0] :
( sK48(X0) = hd(cons(sK48(X0),sK19))
| sP12(X0) ),
inference(resolution,[],[f969,f522]) ).
fof(f1033,plain,
! [X0] :
( sK44(X0) = hd(cons(sK44(X0),sK19))
| sP10(X0) ),
inference(resolution,[],[f969,f511]) ).
fof(f1032,plain,
! [X0] :
( sK43(X0) = hd(cons(sK43(X0),sK19))
| sP10(X0) ),
inference(resolution,[],[f969,f510]) ).
fof(f1031,plain,
! [X0] :
( sK39(X0) = hd(cons(sK39(X0),sK19))
| sP8(X0) ),
inference(resolution,[],[f969,f499]) ).
fof(f1030,plain,
! [X0] :
( sK38(X0) = hd(cons(sK38(X0),sK19))
| sP8(X0) ),
inference(resolution,[],[f969,f498]) ).
fof(f1029,plain,
! [X0] :
( sK34(X0) = hd(cons(sK34(X0),sK19))
| sP6(X0) ),
inference(resolution,[],[f969,f488]) ).
fof(f1028,plain,
! [X0] :
( sK33(X0) = hd(cons(sK33(X0),sK19))
| sP6(X0) ),
inference(resolution,[],[f969,f487]) ).
fof(f1027,plain,
! [X0] :
( sK30(X0) = hd(cons(sK30(X0),sK19))
| sP4(X0) ),
inference(resolution,[],[f969,f478]) ).
fof(f1026,plain,
! [X0] :
( sK29(X0) = hd(cons(sK29(X0),sK19))
| sP4(X0) ),
inference(resolution,[],[f969,f477]) ).
fof(f1025,plain,
! [X0] :
( sK28(X0) = hd(cons(sK28(X0),sK19))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f969,f471]) ).
fof(f1024,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f969,f467]) ).
fof(f1023,plain,
! [X0] :
( sK25(X0) = hd(cons(sK25(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f969,f462]) ).
fof(f1022,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f969,f464]) ).
fof(f969,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK19)) = X0 ),
inference(resolution,[],[f563,f378]) ).
fof(f1020,plain,
! [X0] :
( leq(X0,sK70)
| nil = cons(sK70,sK18)
| ~ sP0(cons(sK70,sK18),X0) ),
inference(superposition,[],[f438,f1015]) ).
fof(f1019,plain,
! [X0] :
( lt(X0,sK70)
| nil = cons(sK70,sK18)
| ~ sP2(cons(sK70,sK18),X0) ),
inference(superposition,[],[f446,f1015]) ).
fof(f1015,plain,
sK70 = hd(cons(sK70,sK18)),
inference(resolution,[],[f968,f604]) ).
fof(f1017,plain,
! [X0] :
( leq(X0,sK69)
| nil = cons(sK69,sK18)
| ~ sP0(cons(sK69,sK18),X0) ),
inference(superposition,[],[f438,f1014]) ).
fof(f1016,plain,
! [X0] :
( lt(X0,sK69)
| nil = cons(sK69,sK18)
| ~ sP2(cons(sK69,sK18),X0) ),
inference(superposition,[],[f446,f1014]) ).
fof(f1014,plain,
sK69 = hd(cons(sK69,sK18)),
inference(resolution,[],[f968,f603]) ).
fof(f1013,plain,
! [X0] :
( sK59(X0) = hd(cons(sK59(X0),sK18))
| sP16(X0) ),
inference(resolution,[],[f968,f546]) ).
fof(f1012,plain,
! [X0] :
( sK58(X0) = hd(cons(sK58(X0),sK18))
| sP16(X0) ),
inference(resolution,[],[f968,f545]) ).
fof(f1011,plain,
! [X0] :
( sK54(X0) = hd(cons(sK54(X0),sK18))
| sP14(X0) ),
inference(resolution,[],[f968,f535]) ).
fof(f1010,plain,
! [X0] :
( sK53(X0) = hd(cons(sK53(X0),sK18))
| sP14(X0) ),
inference(resolution,[],[f968,f534]) ).
fof(f1009,plain,
! [X0] :
( sK49(X0) = hd(cons(sK49(X0),sK18))
| sP12(X0) ),
inference(resolution,[],[f968,f523]) ).
fof(f1008,plain,
! [X0] :
( sK48(X0) = hd(cons(sK48(X0),sK18))
| sP12(X0) ),
inference(resolution,[],[f968,f522]) ).
fof(f1007,plain,
! [X0] :
( sK44(X0) = hd(cons(sK44(X0),sK18))
| sP10(X0) ),
inference(resolution,[],[f968,f511]) ).
fof(f1006,plain,
! [X0] :
( sK43(X0) = hd(cons(sK43(X0),sK18))
| sP10(X0) ),
inference(resolution,[],[f968,f510]) ).
fof(f1005,plain,
! [X0] :
( sK39(X0) = hd(cons(sK39(X0),sK18))
| sP8(X0) ),
inference(resolution,[],[f968,f499]) ).
fof(f1004,plain,
! [X0] :
( sK38(X0) = hd(cons(sK38(X0),sK18))
| sP8(X0) ),
inference(resolution,[],[f968,f498]) ).
fof(f1003,plain,
! [X0] :
( sK34(X0) = hd(cons(sK34(X0),sK18))
| sP6(X0) ),
inference(resolution,[],[f968,f488]) ).
fof(f1002,plain,
! [X0] :
( sK33(X0) = hd(cons(sK33(X0),sK18))
| sP6(X0) ),
inference(resolution,[],[f968,f487]) ).
fof(f1001,plain,
! [X0] :
( sK30(X0) = hd(cons(sK30(X0),sK18))
| sP4(X0) ),
inference(resolution,[],[f968,f478]) ).
fof(f1000,plain,
! [X0] :
( sK29(X0) = hd(cons(sK29(X0),sK18))
| sP4(X0) ),
inference(resolution,[],[f968,f477]) ).
fof(f999,plain,
! [X0] :
( sK28(X0) = hd(cons(sK28(X0),sK18))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f968,f471]) ).
fof(f998,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f968,f467]) ).
fof(f997,plain,
! [X0] :
( sK25(X0) = hd(cons(sK25(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f968,f462]) ).
fof(f996,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f968,f464]) ).
fof(f968,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK18)) = X0 ),
inference(resolution,[],[f563,f377]) ).
fof(f993,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK62(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f563,f549]) ).
fof(f992,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK61(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f563,f548]) ).
fof(f991,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK60(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f563,f547]) ).
fof(f990,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK57(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f563,f538]) ).
fof(f989,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK56(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f563,f537]) ).
fof(f988,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK55(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f563,f536]) ).
fof(f987,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK52(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f563,f526]) ).
fof(f986,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK51(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f563,f525]) ).
fof(f985,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK50(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f563,f524]) ).
fof(f984,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK47(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f563,f514]) ).
fof(f983,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK46(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f563,f513]) ).
fof(f982,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK45(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f563,f512]) ).
fof(f981,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK42(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f563,f502]) ).
fof(f980,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK41(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f563,f501]) ).
fof(f979,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK40(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f563,f500]) ).
fof(f978,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK37(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f563,f491]) ).
fof(f977,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK36(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f563,f490]) ).
fof(f976,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK35(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f563,f489]) ).
fof(f975,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK32(X1))) = X0
| sP4(X1) ),
inference(resolution,[],[f563,f480]) ).
fof(f974,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK31(X1))) = X0
| sP4(X1) ),
inference(resolution,[],[f563,f479]) ).
fof(f973,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK27(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f563,f469]) ).
fof(f972,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK24(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f563,f461]) ).
fof(f995,plain,
! [X0] :
( hd(cons(X0,sK19)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f971,f381]) ).
fof(f971,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK21)) = X0 ),
inference(resolution,[],[f563,f380]) ).
fof(f994,plain,
! [X0] :
( hd(cons(X0,sK18)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f970,f382]) ).
fof(f970,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK20)) = X0 ),
inference(resolution,[],[f563,f379]) ).
fof(f967,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,tl(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f563,f465]) ).
fof(f966,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(resolution,[],[f563,f397]) ).
fof(f965,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,app(X1,X2))) = X0
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f563,f569]) ).
fof(f964,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f563,f559]) ).
fof(f563,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f961,plain,
sK19 = tl(cons(sK70,sK19)),
inference(resolution,[],[f893,f604]) ).
fof(f960,plain,
sK19 = tl(cons(sK69,sK19)),
inference(resolution,[],[f893,f603]) ).
fof(f959,plain,
! [X0] :
( sK19 = tl(cons(sK59(X0),sK19))
| sP16(X0) ),
inference(resolution,[],[f893,f546]) ).
fof(f958,plain,
! [X0] :
( sK19 = tl(cons(sK58(X0),sK19))
| sP16(X0) ),
inference(resolution,[],[f893,f545]) ).
fof(f957,plain,
! [X0] :
( sK19 = tl(cons(sK54(X0),sK19))
| sP14(X0) ),
inference(resolution,[],[f893,f535]) ).
fof(f956,plain,
! [X0] :
( sK19 = tl(cons(sK53(X0),sK19))
| sP14(X0) ),
inference(resolution,[],[f893,f534]) ).
fof(f955,plain,
! [X0] :
( sK19 = tl(cons(sK49(X0),sK19))
| sP12(X0) ),
inference(resolution,[],[f893,f523]) ).
fof(f954,plain,
! [X0] :
( sK19 = tl(cons(sK48(X0),sK19))
| sP12(X0) ),
inference(resolution,[],[f893,f522]) ).
fof(f953,plain,
! [X0] :
( sK19 = tl(cons(sK44(X0),sK19))
| sP10(X0) ),
inference(resolution,[],[f893,f511]) ).
fof(f945,plain,
! [X0] :
( sK19 = tl(cons(sK28(X0),sK19))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f893,f471]) ).
fof(f944,plain,
! [X0] :
( sK19 = tl(cons(sK26(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f893,f467]) ).
fof(f943,plain,
! [X0] :
( sK19 = tl(cons(sK25(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f893,f462]) ).
fof(f942,plain,
! [X0] :
( sK19 = tl(cons(hd(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f893,f464]) ).
fof(f893,plain,
! [X0] :
( ~ ssItem(X0)
| sK19 = tl(cons(X0,sK19)) ),
inference(resolution,[],[f562,f378]) ).
fof(f939,plain,
sK18 = tl(cons(sK70,sK18)),
inference(resolution,[],[f892,f604]) ).
fof(f938,plain,
sK18 = tl(cons(sK69,sK18)),
inference(resolution,[],[f892,f603]) ).
fof(f923,plain,
! [X0] :
( sK18 = tl(cons(sK28(X0),sK18))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f892,f471]) ).
fof(f922,plain,
! [X0] :
( sK18 = tl(cons(sK26(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f892,f467]) ).
fof(f921,plain,
! [X0] :
( sK18 = tl(cons(sK25(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f892,f462]) ).
fof(f920,plain,
! [X0] :
( sK18 = tl(cons(hd(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f892,f464]) ).
fof(f892,plain,
! [X0] :
( ~ ssItem(X0)
| sK18 = tl(cons(X0,sK18)) ),
inference(resolution,[],[f562,f377]) ).
fof(f917,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK62(X1) = tl(cons(X0,sK62(X1)))
| sP16(X1) ),
inference(resolution,[],[f562,f549]) ).
fof(f916,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK61(X1) = tl(cons(X0,sK61(X1)))
| sP16(X1) ),
inference(resolution,[],[f562,f548]) ).
fof(f915,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK60(X1) = tl(cons(X0,sK60(X1)))
| sP16(X1) ),
inference(resolution,[],[f562,f547]) ).
fof(f914,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK57(X1) = tl(cons(X0,sK57(X1)))
| sP14(X1) ),
inference(resolution,[],[f562,f538]) ).
fof(f913,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK56(X1) = tl(cons(X0,sK56(X1)))
| sP14(X1) ),
inference(resolution,[],[f562,f537]) ).
fof(f912,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK55(X1) = tl(cons(X0,sK55(X1)))
| sP14(X1) ),
inference(resolution,[],[f562,f536]) ).
fof(f911,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK52(X1) = tl(cons(X0,sK52(X1)))
| sP12(X1) ),
inference(resolution,[],[f562,f526]) ).
fof(f910,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK51(X1) = tl(cons(X0,sK51(X1)))
| sP12(X1) ),
inference(resolution,[],[f562,f525]) ).
fof(f909,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK50(X1) = tl(cons(X0,sK50(X1)))
| sP12(X1) ),
inference(resolution,[],[f562,f524]) ).
fof(f908,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK47(X1) = tl(cons(X0,sK47(X1)))
| sP10(X1) ),
inference(resolution,[],[f562,f514]) ).
fof(f907,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK46(X1) = tl(cons(X0,sK46(X1)))
| sP10(X1) ),
inference(resolution,[],[f562,f513]) ).
fof(f906,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK45(X1) = tl(cons(X0,sK45(X1)))
| sP10(X1) ),
inference(resolution,[],[f562,f512]) ).
fof(f905,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK42(X1) = tl(cons(X0,sK42(X1)))
| sP8(X1) ),
inference(resolution,[],[f562,f502]) ).
fof(f904,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK41(X1) = tl(cons(X0,sK41(X1)))
| sP8(X1) ),
inference(resolution,[],[f562,f501]) ).
fof(f903,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK40(X1) = tl(cons(X0,sK40(X1)))
| sP8(X1) ),
inference(resolution,[],[f562,f500]) ).
fof(f902,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK37(X1) = tl(cons(X0,sK37(X1)))
| sP6(X1) ),
inference(resolution,[],[f562,f491]) ).
fof(f901,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK36(X1) = tl(cons(X0,sK36(X1)))
| sP6(X1) ),
inference(resolution,[],[f562,f490]) ).
fof(f900,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK35(X1) = tl(cons(X0,sK35(X1)))
| sP6(X1) ),
inference(resolution,[],[f562,f489]) ).
fof(f899,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK32(X1) = tl(cons(X0,sK32(X1)))
| sP4(X1) ),
inference(resolution,[],[f562,f480]) ).
fof(f898,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK31(X1) = tl(cons(X0,sK31(X1)))
| sP4(X1) ),
inference(resolution,[],[f562,f479]) ).
fof(f897,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK27(X1) = tl(cons(X0,sK27(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f562,f469]) ).
fof(f896,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK24(X1) = tl(cons(X0,sK24(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f562,f461]) ).
fof(f919,plain,
! [X0] :
( sK19 = tl(cons(X0,sK19))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f895,f381]) ).
fof(f895,plain,
! [X0] :
( ~ ssItem(X0)
| sK21 = tl(cons(X0,sK21)) ),
inference(resolution,[],[f562,f380]) ).
fof(f918,plain,
! [X0] :
( sK18 = tl(cons(X0,sK18))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f894,f382]) ).
fof(f894,plain,
! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(X0,sK20)) ),
inference(resolution,[],[f562,f379]) ).
fof(f891,plain,
! [X0,X1] :
( ~ ssItem(X0)
| tl(X1) = tl(cons(X0,tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f562,f465]) ).
fof(f890,plain,
! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) ),
inference(resolution,[],[f562,f397]) ).
fof(f889,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) = tl(cons(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f562,f569]) ).
fof(f888,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f562,f559]) ).
fof(f562,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f472,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK28(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f877,plain,
! [X0] :
( nil = sK62(X0)
| tl(sK62(X0)) = sK27(sK62(X0))
| sP16(X0) ),
inference(resolution,[],[f470,f549]) ).
fof(f876,plain,
! [X0] :
( nil = sK61(X0)
| tl(sK61(X0)) = sK27(sK61(X0))
| sP16(X0) ),
inference(resolution,[],[f470,f548]) ).
fof(f875,plain,
! [X0] :
( nil = sK60(X0)
| tl(sK60(X0)) = sK27(sK60(X0))
| sP16(X0) ),
inference(resolution,[],[f470,f547]) ).
fof(f874,plain,
! [X0] :
( nil = sK57(X0)
| tl(sK57(X0)) = sK27(sK57(X0))
| sP14(X0) ),
inference(resolution,[],[f470,f538]) ).
fof(f873,plain,
! [X0] :
( nil = sK56(X0)
| tl(sK56(X0)) = sK27(sK56(X0))
| sP14(X0) ),
inference(resolution,[],[f470,f537]) ).
fof(f872,plain,
! [X0] :
( nil = sK55(X0)
| tl(sK55(X0)) = sK27(sK55(X0))
| sP14(X0) ),
inference(resolution,[],[f470,f536]) ).
fof(f871,plain,
! [X0] :
( nil = sK52(X0)
| tl(sK52(X0)) = sK27(sK52(X0))
| sP12(X0) ),
inference(resolution,[],[f470,f526]) ).
fof(f870,plain,
! [X0] :
( nil = sK51(X0)
| tl(sK51(X0)) = sK27(sK51(X0))
| sP12(X0) ),
inference(resolution,[],[f470,f525]) ).
fof(f869,plain,
! [X0] :
( nil = sK50(X0)
| tl(sK50(X0)) = sK27(sK50(X0))
| sP12(X0) ),
inference(resolution,[],[f470,f524]) ).
fof(f868,plain,
! [X0] :
( nil = sK47(X0)
| tl(sK47(X0)) = sK27(sK47(X0))
| sP10(X0) ),
inference(resolution,[],[f470,f514]) ).
fof(f867,plain,
! [X0] :
( nil = sK46(X0)
| tl(sK46(X0)) = sK27(sK46(X0))
| sP10(X0) ),
inference(resolution,[],[f470,f513]) ).
fof(f866,plain,
! [X0] :
( nil = sK45(X0)
| tl(sK45(X0)) = sK27(sK45(X0))
| sP10(X0) ),
inference(resolution,[],[f470,f512]) ).
fof(f865,plain,
! [X0] :
( nil = sK42(X0)
| tl(sK42(X0)) = sK27(sK42(X0))
| sP8(X0) ),
inference(resolution,[],[f470,f502]) ).
fof(f864,plain,
! [X0] :
( nil = sK41(X0)
| tl(sK41(X0)) = sK27(sK41(X0))
| sP8(X0) ),
inference(resolution,[],[f470,f501]) ).
fof(f863,plain,
! [X0] :
( nil = sK40(X0)
| tl(sK40(X0)) = sK27(sK40(X0))
| sP8(X0) ),
inference(resolution,[],[f470,f500]) ).
fof(f862,plain,
! [X0] :
( nil = sK37(X0)
| tl(sK37(X0)) = sK27(sK37(X0))
| sP6(X0) ),
inference(resolution,[],[f470,f491]) ).
fof(f861,plain,
! [X0] :
( nil = sK36(X0)
| tl(sK36(X0)) = sK27(sK36(X0))
| sP6(X0) ),
inference(resolution,[],[f470,f490]) ).
fof(f860,plain,
! [X0] :
( nil = sK35(X0)
| tl(sK35(X0)) = sK27(sK35(X0))
| sP6(X0) ),
inference(resolution,[],[f470,f489]) ).
fof(f859,plain,
! [X0] :
( nil = sK32(X0)
| tl(sK32(X0)) = sK27(sK32(X0))
| sP4(X0) ),
inference(resolution,[],[f470,f480]) ).
fof(f858,plain,
! [X0] :
( nil = sK31(X0)
| tl(sK31(X0)) = sK27(sK31(X0))
| sP4(X0) ),
inference(resolution,[],[f470,f479]) ).
fof(f857,plain,
! [X0] :
( nil = sK27(X0)
| tl(sK27(X0)) = sK27(sK27(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f470,f469]) ).
fof(f856,plain,
! [X0] :
( nil = sK24(X0)
| tl(sK24(X0)) = sK27(sK24(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f470,f461]) ).
fof(f851,plain,
! [X0] :
( nil = tl(X0)
| tl(tl(X0)) = sK27(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f470,f465]) ).
fof(f849,plain,
! [X0,X1] :
( nil = app(X0,X1)
| tl(app(X0,X1)) = sK27(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f470,f569]) ).
fof(f878,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f848,f560]) ).
fof(f848,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f470,f559]) ).
fof(f470,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK27(X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
! [X0] :
( ( tl(X0) = sK27(X0)
& ssList(sK27(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f160,f282]) ).
fof(f282,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK27(X0)
& ssList(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
fof(f837,plain,
! [X0] :
( nil = sK62(X0)
| hd(sK62(X0)) = sK26(sK62(X0))
| sP16(X0) ),
inference(resolution,[],[f468,f549]) ).
fof(f836,plain,
! [X0] :
( nil = sK61(X0)
| hd(sK61(X0)) = sK26(sK61(X0))
| sP16(X0) ),
inference(resolution,[],[f468,f548]) ).
fof(f835,plain,
! [X0] :
( nil = sK60(X0)
| hd(sK60(X0)) = sK26(sK60(X0))
| sP16(X0) ),
inference(resolution,[],[f468,f547]) ).
fof(f834,plain,
! [X0] :
( nil = sK57(X0)
| hd(sK57(X0)) = sK26(sK57(X0))
| sP14(X0) ),
inference(resolution,[],[f468,f538]) ).
fof(f833,plain,
! [X0] :
( nil = sK56(X0)
| hd(sK56(X0)) = sK26(sK56(X0))
| sP14(X0) ),
inference(resolution,[],[f468,f537]) ).
fof(f832,plain,
! [X0] :
( nil = sK55(X0)
| hd(sK55(X0)) = sK26(sK55(X0))
| sP14(X0) ),
inference(resolution,[],[f468,f536]) ).
fof(f831,plain,
! [X0] :
( nil = sK52(X0)
| hd(sK52(X0)) = sK26(sK52(X0))
| sP12(X0) ),
inference(resolution,[],[f468,f526]) ).
fof(f830,plain,
! [X0] :
( nil = sK51(X0)
| hd(sK51(X0)) = sK26(sK51(X0))
| sP12(X0) ),
inference(resolution,[],[f468,f525]) ).
fof(f829,plain,
! [X0] :
( nil = sK50(X0)
| hd(sK50(X0)) = sK26(sK50(X0))
| sP12(X0) ),
inference(resolution,[],[f468,f524]) ).
fof(f828,plain,
! [X0] :
( nil = sK47(X0)
| hd(sK47(X0)) = sK26(sK47(X0))
| sP10(X0) ),
inference(resolution,[],[f468,f514]) ).
fof(f827,plain,
! [X0] :
( nil = sK46(X0)
| hd(sK46(X0)) = sK26(sK46(X0))
| sP10(X0) ),
inference(resolution,[],[f468,f513]) ).
fof(f826,plain,
! [X0] :
( nil = sK45(X0)
| hd(sK45(X0)) = sK26(sK45(X0))
| sP10(X0) ),
inference(resolution,[],[f468,f512]) ).
fof(f825,plain,
! [X0] :
( nil = sK42(X0)
| hd(sK42(X0)) = sK26(sK42(X0))
| sP8(X0) ),
inference(resolution,[],[f468,f502]) ).
fof(f824,plain,
! [X0] :
( nil = sK41(X0)
| hd(sK41(X0)) = sK26(sK41(X0))
| sP8(X0) ),
inference(resolution,[],[f468,f501]) ).
fof(f823,plain,
! [X0] :
( nil = sK40(X0)
| hd(sK40(X0)) = sK26(sK40(X0))
| sP8(X0) ),
inference(resolution,[],[f468,f500]) ).
fof(f822,plain,
! [X0] :
( nil = sK37(X0)
| hd(sK37(X0)) = sK26(sK37(X0))
| sP6(X0) ),
inference(resolution,[],[f468,f491]) ).
fof(f821,plain,
! [X0] :
( nil = sK36(X0)
| hd(sK36(X0)) = sK26(sK36(X0))
| sP6(X0) ),
inference(resolution,[],[f468,f490]) ).
fof(f820,plain,
! [X0] :
( nil = sK35(X0)
| hd(sK35(X0)) = sK26(sK35(X0))
| sP6(X0) ),
inference(resolution,[],[f468,f489]) ).
fof(f819,plain,
! [X0] :
( nil = sK32(X0)
| hd(sK32(X0)) = sK26(sK32(X0))
| sP4(X0) ),
inference(resolution,[],[f468,f480]) ).
fof(f818,plain,
! [X0] :
( nil = sK31(X0)
| hd(sK31(X0)) = sK26(sK31(X0))
| sP4(X0) ),
inference(resolution,[],[f468,f479]) ).
fof(f817,plain,
! [X0] :
( nil = sK27(X0)
| hd(sK27(X0)) = sK26(sK27(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f468,f469]) ).
fof(f816,plain,
! [X0] :
( nil = sK24(X0)
| hd(sK24(X0)) = sK26(sK24(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f468,f461]) ).
fof(f811,plain,
! [X0] :
( nil = tl(X0)
| hd(tl(X0)) = sK26(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f468,f465]) ).
fof(f809,plain,
! [X0,X1] :
( nil = app(X0,X1)
| hd(app(X0,X1)) = sK26(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f468,f569]) ).
fof(f838,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = sK26(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f808,f560]) ).
fof(f808,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK26(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f468,f559]) ).
fof(f468,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK26(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ( hd(X0) = sK26(X0)
& ssItem(sK26(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f158,f280]) ).
fof(f280,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK26(X0)
& ssItem(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(f807,plain,
! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| ~ lt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f446,f411]) ).
fof(f806,plain,
! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| leq(X1,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssItem(X1) ),
inference(resolution,[],[f446,f421]) ).
fof(f805,plain,
! [X0] :
( nil = X0
| ~ sP2(X0,hd(X0))
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f446,f399]) ).
fof(f446,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f273]) ).
fof(f273,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f272]) ).
fof(f272,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f443,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP2(X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f442,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f438,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f269]) ).
fof(f269,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f268]) ).
fof(f268,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f435,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP0(X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f434,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f421,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(f419,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ( ( geq(X0,X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ geq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ( geq(X0,X1)
<=> leq(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(f418,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f793,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
inference(duplicate_literal_removal,[],[f792]) ).
fof(f792,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f417,f409]) ).
fof(f417,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( ( ( gt(X0,X1)
| ~ lt(X1,X0) )
& ( lt(X1,X0)
| ~ gt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( gt(X0,X1)
<=> lt(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f790,plain,
! [X0] :
( sK62(X0) = app(nil,sK62(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f730,f674]) ).
fof(f730,plain,
! [X0] :
( sP16(X0)
| sK62(X0) = app(nil,sK62(X0)) ),
inference(resolution,[],[f460,f549]) ).
fof(f789,plain,
! [X0] :
( sK61(X0) = app(nil,sK61(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f729,f674]) ).
fof(f729,plain,
! [X0] :
( sP16(X0)
| sK61(X0) = app(nil,sK61(X0)) ),
inference(resolution,[],[f460,f548]) ).
fof(f788,plain,
! [X0] :
( sK60(X0) = app(nil,sK60(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f728,f674]) ).
fof(f728,plain,
! [X0] :
( sP16(X0)
| sK60(X0) = app(nil,sK60(X0)) ),
inference(resolution,[],[f460,f547]) ).
fof(f787,plain,
! [X0] :
( sK57(X0) = app(nil,sK57(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f727,f672]) ).
fof(f727,plain,
! [X0] :
( sP14(X0)
| sK57(X0) = app(nil,sK57(X0)) ),
inference(resolution,[],[f460,f538]) ).
fof(f786,plain,
! [X0] :
( sK56(X0) = app(nil,sK56(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f726,f672]) ).
fof(f726,plain,
! [X0] :
( sP14(X0)
| sK56(X0) = app(nil,sK56(X0)) ),
inference(resolution,[],[f460,f537]) ).
fof(f785,plain,
! [X0] :
( sK55(X0) = app(nil,sK55(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f725,f672]) ).
fof(f725,plain,
! [X0] :
( sP14(X0)
| sK55(X0) = app(nil,sK55(X0)) ),
inference(resolution,[],[f460,f536]) ).
fof(f416,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f724,plain,
! [X0] :
( sP12(X0)
| sK52(X0) = app(nil,sK52(X0)) ),
inference(resolution,[],[f460,f526]) ).
fof(f723,plain,
! [X0] :
( sP12(X0)
| sK51(X0) = app(nil,sK51(X0)) ),
inference(resolution,[],[f460,f525]) ).
fof(f722,plain,
! [X0] :
( sP12(X0)
| sK50(X0) = app(nil,sK50(X0)) ),
inference(resolution,[],[f460,f524]) ).
fof(f721,plain,
! [X0] :
( sP10(X0)
| sK47(X0) = app(nil,sK47(X0)) ),
inference(resolution,[],[f460,f514]) ).
fof(f720,plain,
! [X0] :
( sP10(X0)
| sK46(X0) = app(nil,sK46(X0)) ),
inference(resolution,[],[f460,f513]) ).
fof(f719,plain,
! [X0] :
( sP10(X0)
| sK45(X0) = app(nil,sK45(X0)) ),
inference(resolution,[],[f460,f512]) ).
fof(f718,plain,
! [X0] :
( sP8(X0)
| sK42(X0) = app(nil,sK42(X0)) ),
inference(resolution,[],[f460,f502]) ).
fof(f717,plain,
! [X0] :
( sP8(X0)
| sK41(X0) = app(nil,sK41(X0)) ),
inference(resolution,[],[f460,f501]) ).
fof(f415,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f716,plain,
! [X0] :
( sP8(X0)
| sK40(X0) = app(nil,sK40(X0)) ),
inference(resolution,[],[f460,f500]) ).
fof(f715,plain,
! [X0] :
( sP6(X0)
| sK37(X0) = app(nil,sK37(X0)) ),
inference(resolution,[],[f460,f491]) ).
fof(f714,plain,
! [X0] :
( sP6(X0)
| sK36(X0) = app(nil,sK36(X0)) ),
inference(resolution,[],[f460,f490]) ).
fof(f713,plain,
! [X0] :
( sP6(X0)
| sK35(X0) = app(nil,sK35(X0)) ),
inference(resolution,[],[f460,f489]) ).
fof(f712,plain,
! [X0] :
( sP4(X0)
| sK32(X0) = app(nil,sK32(X0)) ),
inference(resolution,[],[f460,f480]) ).
fof(f711,plain,
! [X0] :
( sP4(X0)
| sK31(X0) = app(nil,sK31(X0)) ),
inference(resolution,[],[f460,f479]) ).
fof(f773,plain,
! [X0] :
( sK62(X0) = app(sK62(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f703,f674]) ).
fof(f703,plain,
! [X0] :
( sP16(X0)
| sK62(X0) = app(sK62(X0),nil) ),
inference(resolution,[],[f459,f549]) ).
fof(f772,plain,
! [X0] :
( sK61(X0) = app(sK61(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f702,f674]) ).
fof(f702,plain,
! [X0] :
( sP16(X0)
| sK61(X0) = app(sK61(X0),nil) ),
inference(resolution,[],[f459,f548]) ).
fof(f771,plain,
! [X0] :
( sK60(X0) = app(sK60(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f701,f674]) ).
fof(f701,plain,
! [X0] :
( sP16(X0)
| sK60(X0) = app(sK60(X0),nil) ),
inference(resolution,[],[f459,f547]) ).
fof(f770,plain,
! [X0] :
( sK57(X0) = app(sK57(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f700,f672]) ).
fof(f700,plain,
! [X0] :
( sP14(X0)
| sK57(X0) = app(sK57(X0),nil) ),
inference(resolution,[],[f459,f538]) ).
fof(f769,plain,
! [X0] :
( sK56(X0) = app(sK56(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f699,f672]) ).
fof(f699,plain,
! [X0] :
( sP14(X0)
| sK56(X0) = app(sK56(X0),nil) ),
inference(resolution,[],[f459,f537]) ).
fof(f411,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f768,plain,
! [X0] :
( sK55(X0) = app(sK55(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f698,f672]) ).
fof(f698,plain,
! [X0] :
( sP14(X0)
| sK55(X0) = app(sK55(X0),nil) ),
inference(resolution,[],[f459,f536]) ).
fof(f697,plain,
! [X0] :
( sP12(X0)
| sK52(X0) = app(sK52(X0),nil) ),
inference(resolution,[],[f459,f526]) ).
fof(f696,plain,
! [X0] :
( sP12(X0)
| sK51(X0) = app(sK51(X0),nil) ),
inference(resolution,[],[f459,f525]) ).
fof(f695,plain,
! [X0] :
( sP12(X0)
| sK50(X0) = app(sK50(X0),nil) ),
inference(resolution,[],[f459,f524]) ).
fof(f694,plain,
! [X0] :
( sP10(X0)
| sK47(X0) = app(sK47(X0),nil) ),
inference(resolution,[],[f459,f514]) ).
fof(f693,plain,
! [X0] :
( sP10(X0)
| sK46(X0) = app(sK46(X0),nil) ),
inference(resolution,[],[f459,f513]) ).
fof(f692,plain,
! [X0] :
( sP10(X0)
| sK45(X0) = app(sK45(X0),nil) ),
inference(resolution,[],[f459,f512]) ).
fof(f691,plain,
! [X0] :
( sP8(X0)
| sK42(X0) = app(sK42(X0),nil) ),
inference(resolution,[],[f459,f502]) ).
fof(f690,plain,
! [X0] :
( sP8(X0)
| sK41(X0) = app(sK41(X0),nil) ),
inference(resolution,[],[f459,f501]) ).
fof(f689,plain,
! [X0] :
( sP8(X0)
| sK40(X0) = app(sK40(X0),nil) ),
inference(resolution,[],[f459,f500]) ).
fof(f688,plain,
! [X0] :
( sP6(X0)
| sK37(X0) = app(sK37(X0),nil) ),
inference(resolution,[],[f459,f491]) ).
fof(f409,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
=> ~ gt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
fof(f687,plain,
! [X0] :
( sP6(X0)
| sK36(X0) = app(sK36(X0),nil) ),
inference(resolution,[],[f459,f490]) ).
fof(f686,plain,
! [X0] :
( sP6(X0)
| sK35(X0) = app(sK35(X0),nil) ),
inference(resolution,[],[f459,f489]) ).
fof(f685,plain,
! [X0] :
( sP4(X0)
| sK32(X0) = app(sK32(X0),nil) ),
inference(resolution,[],[f459,f480]) ).
fof(f684,plain,
! [X0] :
( sP4(X0)
| sK31(X0) = app(sK31(X0),nil) ),
inference(resolution,[],[f459,f479]) ).
fof(f636,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f608]) ).
fof(f608,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f561,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f560,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f761,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(app(X1,X0),nil) ),
inference(resolution,[],[f569,f459]) ).
fof(f760,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) ),
inference(resolution,[],[f569,f460]) ).
fof(f569,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f759,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,X1),nil) ),
inference(resolution,[],[f559,f459]) ).
fof(f758,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) ),
inference(resolution,[],[f559,f460]) ).
fof(f559,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f557,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f555,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ( ( rearsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ rearsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( rearsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f553,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f742,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK27(X0) = app(sK27(X0),nil) ),
inference(resolution,[],[f469,f459]) ).
fof(f741,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK27(X0) = app(nil,sK27(X0)) ),
inference(resolution,[],[f469,f460]) ).
fof(f469,plain,
! [X0] :
( ssList(sK27(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f467,plain,
! [X0] :
( ssItem(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f740,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f465,f459]) ).
fof(f739,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f465,f460]) ).
fof(f465,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f464,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f462,plain,
! [X0] :
( ssItem(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0] :
( ( cons(sK25(X0),sK24(X0)) = X0
& ssItem(sK25(X0))
& ssList(sK24(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f150,f278,f277]) ).
fof(f277,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK24(X0)) = X0
& ssItem(X2) )
& ssList(sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK24(X0)) = X0
& ssItem(X2) )
=> ( cons(sK25(X0),sK24(X0)) = X0
& ssItem(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f738,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK24(X0) = app(sK24(X0),nil) ),
inference(resolution,[],[f461,f459]) ).
fof(f737,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK24(X0) = app(nil,sK24(X0)) ),
inference(resolution,[],[f461,f460]) ).
fof(f461,plain,
! [X0] :
( ssList(sK24(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f445,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| nil = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f437,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| nil = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f551,plain,
! [X0] :
( ~ lt(sK58(X0),sK59(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ( sP16(X0)
| ( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),sK62(X0))) = X0
& ssList(sK62(X0))
& ssList(sK61(X0))
& ssList(sK60(X0))
& ssItem(sK59(X0))
& ssItem(sK58(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP16(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58,sK59,sK60,sK61,sK62])],[f343,f348,f347,f346,f345,f344]) ).
fof(f344,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),X2)
& app(app(X3,cons(sK58(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),X2)
& app(app(X3,cons(sK58(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(X3,cons(sK58(X0),X4)),cons(sK59(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(X3,cons(sK58(X0),X4)),cons(sK59(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),X4)),cons(sK59(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),X4)),cons(sK59(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),X5)) = X0
& ssList(X5) )
& ssList(sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),sK62(X0))) = X0
& ssList(sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0] :
( ( sP16(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP16(X0) ) ),
inference(rectify,[],[f342]) ).
fof(f342,plain,
! [X0] :
( ( sP16(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP16(X0) ) ),
inference(nnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( sP16(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f540,plain,
! [X0] :
( ~ leq(sK53(X0),sK54(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ( sP14(X0)
| ( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),sK57(X0))) = X0
& ssList(sK57(X0))
& ssList(sK56(X0))
& ssList(sK55(X0))
& ssItem(sK54(X0))
& ssItem(sK53(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP14(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57])],[f334,f339,f338,f337,f336,f335]) ).
fof(f335,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),X2)
& app(app(X3,cons(sK53(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),X2)
& app(app(X3,cons(sK53(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(X3,cons(sK53(X0),X4)),cons(sK54(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(X3,cons(sK53(X0),X4)),cons(sK54(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),X4)),cons(sK54(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f338,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),X4)),cons(sK54(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),X5)) = X0
& ssList(X5) )
& ssList(sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),sK57(X0))) = X0
& ssList(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
! [X0] :
( ( sP14(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP14(X0) ) ),
inference(rectify,[],[f333]) ).
fof(f333,plain,
! [X0] :
( ( sP14(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP14(X0) ) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( sP14(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f529,plain,
! [X0] :
( leq(sK49(X0),sK48(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f331,plain,
! [X0] :
( ( sP12(X0)
| ( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),sK52(X0))) = X0
& ssList(sK52(X0))
& ssList(sK51(X0))
& ssList(sK50(X0))
& ssItem(sK49(X0))
& ssItem(sK48(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP12(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49,sK50,sK51,sK52])],[f325,f330,f329,f328,f327,f326]) ).
fof(f326,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK48(X0))
& leq(sK48(X0),X2)
& app(app(X3,cons(sK48(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK48(X0))
& leq(sK48(X0),X2)
& app(app(X3,cons(sK48(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(X3,cons(sK48(X0),X4)),cons(sK49(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f328,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(X3,cons(sK48(X0),X4)),cons(sK49(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),X4)),cons(sK49(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f329,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),X4)),cons(sK49(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),X5)) = X0
& ssList(X5) )
& ssList(sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f330,plain,
! [X0] :
( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),sK52(X0))) = X0
& ssList(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f325,plain,
! [X0] :
( ( sP12(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP12(X0) ) ),
inference(rectify,[],[f324]) ).
fof(f324,plain,
! [X0] :
( ( sP12(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP12(X0) ) ),
inference(nnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( sP12(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f528,plain,
! [X0] :
( leq(sK48(X0),sK49(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f517,plain,
! [X0] :
( ~ lt(sK44(X0),sK43(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0] :
( ( sP10(X0)
| ( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),sK47(X0))) = X0
& ssList(sK47(X0))
& ssList(sK46(X0))
& ssList(sK45(X0))
& ssItem(sK44(X0))
& ssItem(sK43(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP10(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44,sK45,sK46,sK47])],[f316,f321,f320,f319,f318,f317]) ).
fof(f317,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK43(X0))
& ~ lt(sK43(X0),X2)
& app(app(X3,cons(sK43(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK43(X0))
& ~ lt(sK43(X0),X2)
& app(app(X3,cons(sK43(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(X3,cons(sK43(X0),X4)),cons(sK44(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(X3,cons(sK43(X0),X4)),cons(sK44(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),X4)),cons(sK44(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f320,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),X4)),cons(sK44(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),X5)) = X0
& ssList(X5) )
& ssList(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f321,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),sK47(X0))) = X0
& ssList(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
! [X0] :
( ( sP10(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP10(X0) ) ),
inference(rectify,[],[f315]) ).
fof(f315,plain,
! [X0] :
( ( sP10(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP10(X0) ) ),
inference(nnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( sP10(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f516,plain,
! [X0] :
( ~ lt(sK43(X0),sK44(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f505,plain,
! [X0] :
( ~ leq(sK39(X0),sK38(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f313,plain,
! [X0] :
( ( sP8(X0)
| ( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0
& ssList(sK42(X0))
& ssList(sK41(X0))
& ssList(sK40(X0))
& ssItem(sK39(X0))
& ssItem(sK38(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP8(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41,sK42])],[f307,f312,f311,f310,f309,f308]) ).
fof(f308,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK38(X0))
& ~ leq(sK38(X0),X2)
& app(app(X3,cons(sK38(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK38(X0))
& ~ leq(sK38(X0),X2)
& app(app(X3,cons(sK38(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(X3,cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(X3,cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0
& ssList(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0] :
( ( sP8(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP8(X0) ) ),
inference(rectify,[],[f306]) ).
fof(f306,plain,
! [X0] :
( ( sP8(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP8(X0) ) ),
inference(nnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( sP8(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f504,plain,
! [X0] :
( ~ leq(sK38(X0),sK39(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f493,plain,
! [X0] :
( sP6(X0)
| sK33(X0) = sK34(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0] :
( ( sP6(X0)
| ( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),sK37(X0))) = X0
& ssList(sK37(X0))
& ssList(sK36(X0))
& ssList(sK35(X0))
& ssItem(sK34(X0))
& ssItem(sK33(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP6(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34,sK35,sK36,sK37])],[f298,f303,f302,f301,f300,f299]) ).
fof(f299,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK33(X0) = X2
& app(app(X3,cons(sK33(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK33(X0) = X2
& app(app(X3,cons(sK33(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(X3,cons(sK33(X0),X4)),cons(sK34(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(X3,cons(sK33(X0),X4)),cons(sK34(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),X4)),cons(sK34(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),X4)),cons(sK34(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),X5)) = X0
& ssList(X5) )
& ssList(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
! [X0] :
( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),X5)) = X0
& ssList(X5) )
=> ( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),sK37(X0))) = X0
& ssList(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
! [X0] :
( ( sP6(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP6(X0) ) ),
inference(rectify,[],[f297]) ).
fof(f297,plain,
! [X0] :
( ( sP6(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP6(X0) ) ),
inference(nnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( sP6(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f482,plain,
! [X0] :
( sK29(X0) != sK30(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0] :
( ( sP4(X0)
| ( sK29(X0) != sK30(X0)
& app(sK31(X0),cons(sK29(X0),cons(sK30(X0),sK32(X0)))) = X0
& ssList(sK32(X0))
& ssList(sK31(X0))
& ssItem(sK30(X0))
& ssItem(sK29(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP4(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32])],[f290,f294,f293,f292,f291]) ).
fof(f291,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK29(X0) != X2
& app(X3,cons(sK29(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f292,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK29(X0) != X2
& app(X3,cons(sK29(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( sK29(X0) != sK30(X0)
& app(X3,cons(sK29(X0),cons(sK30(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( sK29(X0) != sK30(X0)
& app(X3,cons(sK29(X0),cons(sK30(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( sK29(X0) != sK30(X0)
& app(sK31(X0),cons(sK29(X0),cons(sK30(X0),X4))) = X0
& ssList(X4) )
& ssList(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f294,plain,
! [X0] :
( ? [X4] :
( sK29(X0) != sK30(X0)
& app(sK31(X0),cons(sK29(X0),cons(sK30(X0),X4))) = X0
& ssList(X4) )
=> ( sK29(X0) != sK30(X0)
& app(sK31(X0),cons(sK29(X0),cons(sK30(X0),sK32(X0)))) = X0
& ssList(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f290,plain,
! [X0] :
( ( sP4(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP4(X0) ) ),
inference(rectify,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ( sP4(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP4(X0) ) ),
inference(nnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( sP4(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f708,plain,
sK19 = app(nil,sK19),
inference(resolution,[],[f460,f378]) ).
fof(f471,plain,
! [X0] :
( ssItem(sK28(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f707,plain,
sK18 = app(nil,sK18),
inference(resolution,[],[f460,f377]) ).
fof(f732,plain,
sK19 = app(nil,sK19),
inference(forward_demodulation,[],[f710,f381]) ).
fof(f710,plain,
sK21 = app(nil,sK21),
inference(resolution,[],[f460,f380]) ).
fof(f731,plain,
sK18 = app(nil,sK18),
inference(forward_demodulation,[],[f709,f382]) ).
fof(f709,plain,
sK20 = app(nil,sK20),
inference(resolution,[],[f460,f379]) ).
fof(f460,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f681,plain,
sK19 = app(sK19,nil),
inference(resolution,[],[f459,f378]) ).
fof(f680,plain,
sK18 = app(sK18,nil),
inference(resolution,[],[f459,f377]) ).
fof(f705,plain,
sK19 = app(sK19,nil),
inference(forward_demodulation,[],[f683,f381]) ).
fof(f683,plain,
sK21 = app(sK21,nil),
inference(resolution,[],[f459,f380]) ).
fof(f704,plain,
sK18 = app(sK18,nil),
inference(forward_demodulation,[],[f682,f382]) ).
fof(f682,plain,
sK20 = app(sK20,nil),
inference(resolution,[],[f459,f379]) ).
fof(f459,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f449,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f139,f228,f227]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f674,plain,
! [X0] :
( ~ sP16(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f543,f552]) ).
fof(f673,plain,
! [X0] :
( sP16(X0)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f542,f552]) ).
fof(f672,plain,
! [X0] :
( ~ sP14(X0)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f532,f541]) ).
fof(f441,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f138,f225,f224]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f671,plain,
! [X0] :
( sP14(X0)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f531,f541]) ).
fof(f670,plain,
! [X0] :
( sP12(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f519,f530]) ).
fof(f669,plain,
! [X0] :
( sP10(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f507,f518]) ).
fof(f668,plain,
! [X0] :
( sP8(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f495,f506]) ).
fof(f667,plain,
! [X0] :
( sP6(X0)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f484,f494]) ).
fof(f666,plain,
! [X0] :
( sP4(X0)
| ~ equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f474,f483]) ).
fof(f543,plain,
! [X0] :
( ~ sP17(X0)
| ~ sP16(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f341,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ~ sP16(X0) )
& ( sP16(X0)
| ~ strictorderedP(X0) ) )
| ~ sP17(X0) ),
inference(nnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0] :
( ( strictorderedP(X0)
<=> sP16(X0) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f542,plain,
! [X0] :
( ~ sP17(X0)
| ~ strictorderedP(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f532,plain,
! [X0] :
( ~ sP15(X0)
| ~ sP14(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ~ sP14(X0) )
& ( sP14(X0)
| ~ totalorderedP(X0) ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ( totalorderedP(X0)
<=> sP14(X0) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f531,plain,
! [X0] :
( ~ sP15(X0)
| ~ totalorderedP(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f519,plain,
! [X0] :
( ~ sP13(X0)
| ~ cyclefreeP(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f323,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP12(X0) )
& ( sP12(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP12(X0) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f507,plain,
! [X0] :
( ~ sP11(X0)
| ~ strictorderP(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
! [X0] :
( ( ( strictorderP(X0)
| ~ sP10(X0) )
& ( sP10(X0)
| ~ strictorderP(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ( strictorderP(X0)
<=> sP10(X0) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f495,plain,
! [X0] :
( ~ sP9(X0)
| ~ totalorderP(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ( ( totalorderP(X0)
| ~ sP8(X0) )
& ( sP8(X0)
| ~ totalorderP(X0) ) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( ( totalorderP(X0)
<=> sP8(X0) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f484,plain,
! [X0] :
( ~ sP7(X0)
| ~ duplicatefreeP(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ~ sP6(X0) )
& ( sP6(X0)
| ~ duplicatefreeP(X0) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> sP6(X0) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f474,plain,
! [X0] :
( ~ sP5(X0)
| ~ equalelemsP(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ~ sP4(X0) )
& ( sP4(X0)
| ~ equalelemsP(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ( equalelemsP(X0)
<=> sP4(X0) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f408,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f407,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f406,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
fof(f405,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f404,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f403,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
fof(f402,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f641,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f388,f387,f386,f385,f384,f383,f382,f381,f380,f379,f378,f377,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f415,f417,f416,f419,f418,f422,f421,f637,f423,f424,f425,f426,f427,f430,f636,f428,f635,f432,f431,f435,f434,f440,f610,f438,f437,f441,f443,f442,f448,f612,f446,f445,f449,f452,f451,f450,f453,f454,f455,f456,f457,f458,f459,f460,f463,f462,f461,f464,f465,f466,f468,f467,f470,f469,f614,f472,f471,f474,f482,f481,f480,f479,f478,f477,f615,f483,f484,f493,f492,f491,f490,f489,f488,f487,f634,f494,f495,f505,f504,f503,f502,f501,f500,f499,f498,f618,f506,f507,f517,f516,f515,f514,f513,f512,f511,f510,f619,f518,f519,f529,f528,f527,f526,f525,f524,f523,f522,f620,f530,f532,f531,f540,f539,f538,f537,f536,f535,f534,f621,f541,f543,f542,f551,f550,f549,f548,f547,f546,f545,f622,f552,f623,f638,f553,f624,f639,f555,f625,f640,f557,f559,f560,f561,f562,f563,f564,f626,f567,f566,f565,f569,f570,f571,f572,f573,f574,f575,f577,f628,f579,f578,f629,f583,f582,f581,f630,f586,f585,f633]) ).
fof(f549,plain,
! [X0] :
( ssList(sK62(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f548,plain,
! [X0] :
( ssList(sK61(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f547,plain,
! [X0] :
( ssList(sK60(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f546,plain,
! [X0] :
( ssItem(sK59(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f545,plain,
! [X0] :
( ssItem(sK58(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f538,plain,
! [X0] :
( ssList(sK57(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f537,plain,
! [X0] :
( ssList(sK56(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f536,plain,
! [X0] :
( ssList(sK55(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f535,plain,
! [X0] :
( ssItem(sK54(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f534,plain,
! [X0] :
( ssItem(sK53(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f526,plain,
! [X0] :
( ssList(sK52(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f525,plain,
! [X0] :
( ssList(sK51(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f524,plain,
! [X0] :
( ssList(sK50(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f523,plain,
! [X0] :
( ssItem(sK49(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f522,plain,
! [X0] :
( ssItem(sK48(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f514,plain,
! [X0] :
( ssList(sK47(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f513,plain,
! [X0] :
( ssList(sK46(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f512,plain,
! [X0] :
( ssList(sK45(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f511,plain,
! [X0] :
( ssItem(sK44(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f510,plain,
! [X0] :
( ssItem(sK43(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f502,plain,
! [X0] :
( ssList(sK42(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f501,plain,
! [X0] :
( ssList(sK41(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f500,plain,
! [X0] :
( ssList(sK40(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f499,plain,
! [X0] :
( ssItem(sK39(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f498,plain,
! [X0] :
( ssItem(sK38(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f491,plain,
! [X0] :
( ssList(sK37(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f490,plain,
! [X0] :
( ssList(sK36(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f489,plain,
! [X0] :
( ssList(sK35(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f488,plain,
! [X0] :
( ssItem(sK34(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f487,plain,
! [X0] :
( ssItem(sK33(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f480,plain,
! [X0] :
( ssList(sK32(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f479,plain,
! [X0] :
( ssList(sK31(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f478,plain,
! [X0] :
( ssItem(sK30(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f477,plain,
! [X0] :
( ssItem(sK29(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f458,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f457,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f456,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f455,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f454,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f453,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f401,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f400,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ssItem(X0)
=> geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
fof(f399,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
fof(f398,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f655,plain,
( nil = sK18
| nil != sK21 ),
inference(forward_demodulation,[],[f384,f382]) ).
fof(f552,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f175,f249,f248]) ).
fof(f175,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f541,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f173,f246,f245]) ).
fof(f173,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f530,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f171,f243,f242]) ).
fof(f171,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ssList(X0)
=> ( cyclefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ~ ( leq(X2,X1)
& leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f518,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f169,f240,f239]) ).
fof(f169,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f506,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f167,f237,f236]) ).
fof(f167,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f494,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f165,f234,f233]) ).
fof(f165,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f483,plain,
! [X0] :
( sP5(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( sP5(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f163,f231,f230]) ).
fof(f163,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ssList(X0)
=> ( equalelemsP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X3,cons(X1,cons(X2,X4))) = X0
=> X1 = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f644,plain,
( ~ neq(sK19,nil)
| ssItem(sK22) ),
inference(forward_demodulation,[],[f385,f381]) ).
fof(f640,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f388,f387,f386,f385,f384,f383,f382,f381,f380,f379,f378,f377,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f415,f417,f416,f419,f418,f422,f421,f637,f423,f424,f425,f426,f427,f430,f636,f428,f635,f432,f431,f435,f434,f440,f610,f438,f437,f441,f443,f442,f448,f612,f446,f445,f449,f452,f451,f450,f453,f454,f455,f456,f457,f458,f459,f460,f463,f462,f461,f464,f465,f466,f468,f467,f470,f469,f614,f472,f471,f474,f482,f481,f480,f479,f478,f477,f615,f483,f484,f493,f492,f491,f490,f489,f488,f487,f634,f494,f495,f505,f504,f503,f502,f501,f500,f499,f498,f618,f506,f507,f517,f516,f515,f514,f513,f512,f511,f510,f619,f518,f519,f529,f528,f527,f526,f525,f524,f523,f522,f620,f530,f532,f531,f540,f539,f538,f537,f536,f535,f534,f621,f541,f543,f542,f551,f550,f549,f548,f547,f546,f545,f622,f552,f623,f638,f553,f624,f639,f555,f625]) ).
fof(f639,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f388,f387,f386,f385,f384,f383,f382,f381,f380,f379,f378,f377,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f415,f417,f416,f419,f418,f422,f421,f637,f423,f424,f425,f426,f427,f430,f636,f428,f635,f432,f431,f435,f434,f440,f610,f438,f437,f441,f443,f442,f448,f612,f446,f445,f449,f452,f451,f450,f453,f454,f455,f456,f457,f458,f459,f460,f463,f462,f461,f464,f465,f466,f468,f467,f470,f469,f614,f472,f471,f474,f482,f481,f480,f479,f478,f477,f615,f483,f484,f493,f492,f491,f490,f489,f488,f487,f634,f494,f495,f505,f504,f503,f502,f501,f500,f499,f498,f618,f506,f507,f517,f516,f515,f514,f513,f512,f511,f510,f619,f518,f519,f529,f528,f527,f526,f525,f524,f523,f522,f620,f530,f532,f531,f540,f539,f538,f537,f536,f535,f534,f621,f541,f543,f542,f551,f550,f549,f548,f547,f546,f545,f622,f552,f623,f638,f553,f624]) ).
fof(f638,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f388,f387,f386,f385,f384,f383,f382,f381,f380,f379,f378,f377,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f415,f417,f416,f419,f418,f422,f421,f637,f423,f424,f425,f426,f427,f430,f636,f428,f635,f432,f431,f435,f434,f440,f610,f438,f437,f441,f443,f442,f448,f612,f446,f445,f449,f452,f451,f450,f453,f454,f455,f456,f457,f458,f459,f460,f463,f462,f461,f464,f465,f466,f468,f467,f470,f469,f614,f472,f471,f474,f482,f481,f480,f479,f478,f477,f615,f483,f484,f493,f492,f491,f490,f489,f488,f487,f634,f494,f495,f505,f504,f503,f502,f501,f500,f499,f498,f618,f506,f507,f517,f516,f515,f514,f513,f512,f511,f510,f619,f518,f519,f529,f528,f527,f526,f525,f524,f523,f522,f620,f530,f532,f531,f540,f539,f538,f537,f536,f535,f534,f621,f541,f543,f542,f551,f550,f549,f548,f547,f546,f545,f622,f552,f623]) ).
fof(f612,plain,
! [X1] : sP2(nil,X1),
inference(equality_resolution,[],[f447]) ).
fof(f447,plain,
! [X0,X1] :
( sP2(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f274]) ).
fof(f610,plain,
! [X1] : sP0(nil,X1),
inference(equality_resolution,[],[f439]) ).
fof(f439,plain,
! [X0,X1] :
( sP0(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f270]) ).
fof(f605,plain,
sK69 != sK70,
inference(cnf_transformation,[],[f376]) ).
fof(f376,plain,
( sK69 != sK70
& ssItem(sK70)
& ssItem(sK69) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69,sK70])],[f2,f375,f374]) ).
fof(f374,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK69 != X1
& ssItem(X1) )
& ssItem(sK69) ) ),
introduced(choice_axiom,[]) ).
fof(f375,plain,
( ? [X1] :
( sK69 != X1
& ssItem(X1) )
=> ( sK69 != sK70
& ssItem(sK70) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f382,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f257]) ).
fof(f381,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f257]) ).
fof(f604,plain,
ssItem(sK70),
inference(cnf_transformation,[],[f376]) ).
fof(f603,plain,
ssItem(sK69),
inference(cnf_transformation,[],[f376]) ).
fof(f397,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f396,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f395,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f394,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f393,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f392,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f391,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f390,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f389,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f380,plain,
ssList(sK21),
inference(cnf_transformation,[],[f257]) ).
fof(f379,plain,
ssList(sK20),
inference(cnf_transformation,[],[f257]) ).
fof(f378,plain,
ssList(sK19),
inference(cnf_transformation,[],[f257]) ).
fof(f377,plain,
ssList(sK18),
inference(cnf_transformation,[],[f257]) ).
fof(f602,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(f601,plain,
! [X2,X0,X1] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X0,X1) )
=> frontsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f600,plain,
! [X2,X0,X1] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X0,X1) )
=> rearsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
fof(f599,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f598,plain,
! [X2,X0,X1] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
fof(f597,plain,
! [X2,X0,X1] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(f596,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
fof(f595,plain,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X0,X1)
=> rearsegP(app(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f594,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f592,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X0 = X1
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f593,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f591,plain,
! [X2,X0,X1] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f588,plain,
! [X0,X1] :
( nil = X1
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f372]) ).
fof(f372,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f589,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f633,plain,
( nil = app(nil,nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f632]) ).
fof(f632,plain,
( nil = app(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f631]) ).
fof(f631,plain,
! [X1] :
( nil = app(nil,X1)
| nil != X1
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f590]) ).
fof(f590,plain,
! [X0,X1] :
( nil = app(X0,X1)
| nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f585,plain,
! [X0,X1] :
( ssList(sK68(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f371]) ).
fof(f371,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK68(X0,X1)) = X0
& ssList(sK68(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f369,f370]) ).
fof(f370,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK68(X0,X1)) = X0
& ssList(sK68(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f369,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f368]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f586,plain,
! [X0,X1] :
( app(X1,sK68(X0,X1)) = X0
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f371]) ).
fof(f630,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f587]) ).
fof(f587,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f371]) ).
fof(f581,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f367]) ).
fof(f367,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1))
& ssList(sK66(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66,sK67])],[f364,f366,f365]) ).
fof(f365,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f366,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f363]) ).
fof(f363,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f582,plain,
! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f367]) ).
fof(f583,plain,
! [X0,X1] :
( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f367]) ).
fof(f629,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f584]) ).
fof(f584,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f367]) ).
fof(f578,plain,
! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f362,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK65(X0,X1),X1) = X0
& ssList(sK65(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f360,f361]) ).
fof(f361,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK65(X0,X1),X1) = X0
& ssList(sK65(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f360,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f359]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X2,X1) = X0
& ssList(X2) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f579,plain,
! [X0,X1] :
( app(sK65(X0,X1),X1) = X0
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f628,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f580]) ).
fof(f580,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f575,plain,
! [X0,X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f574,plain,
! [X0,X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f573,plain,
! [X0,X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X1,X0)
& rearsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f572,plain,
! [X0,X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( tl(X0) = tl(X1)
& hd(X0) = hd(X1)
& nil != X0
& nil != X1 )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
fof(f571,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f570,plain,
! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
fof(f565,plain,
! [X0,X1] :
( ssList(sK63(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK63(X0,X1),cons(X1,sK64(X0,X1))) = X0
& ssList(sK64(X0,X1))
& ssList(sK63(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63,sK64])],[f354,f356,f355]) ).
fof(f355,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK63(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK63(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f356,plain,
! [X0,X1] :
( ? [X5] :
( app(sK63(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK63(X0,X1),cons(X1,sK64(X0,X1))) = X0
& ssList(sK64(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f354,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f353]) ).
fof(f353,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f566,plain,
! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f567,plain,
! [X0,X1] :
( app(sK63(X0,X1),cons(X1,sK64(X0,X1))) = X0
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f626,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f568]) ).
fof(f568,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f564,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f625,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f558]) ).
fof(f558,plain,
! [X0] :
( frontsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f624,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f556]) ).
fof(f556,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f623,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f554]) ).
fof(f554,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f622,plain,
! [X10,X8,X6,X9,X7] :
( lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f544]) ).
fof(f544,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f550,plain,
! [X0] :
( sP16(X0)
| app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),sK62(X0))) = X0 ),
inference(cnf_transformation,[],[f349]) ).
fof(f621,plain,
! [X10,X8,X6,X9,X7] :
( leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f533]) ).
fof(f533,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f539,plain,
! [X0] :
( sP14(X0)
| app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),sK57(X0))) = X0 ),
inference(cnf_transformation,[],[f340]) ).
fof(f620,plain,
! [X10,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f521]) ).
fof(f521,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f527,plain,
! [X0] :
( sP12(X0)
| app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),sK52(X0))) = X0 ),
inference(cnf_transformation,[],[f331]) ).
fof(f619,plain,
! [X10,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f509]) ).
fof(f509,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f515,plain,
! [X0] :
( sP10(X0)
| app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),sK47(X0))) = X0 ),
inference(cnf_transformation,[],[f322]) ).
fof(f618,plain,
! [X10,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f497]) ).
fof(f497,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f503,plain,
! [X0] :
( sP8(X0)
| app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0 ),
inference(cnf_transformation,[],[f313]) ).
fof(f634,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(duplicate_literal_removal,[],[f617]) ).
fof(f617,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f616]) ).
fof(f616,plain,
! [X10,X0,X8,X9,X7] :
( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP6(X0) ),
inference(equality_resolution,[],[f486]) ).
fof(f486,plain,
! [X10,X0,X8,X6,X9,X7] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f492,plain,
! [X0] :
( sP6(X0)
| app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),sK37(X0))) = X0 ),
inference(cnf_transformation,[],[f304]) ).
fof(f615,plain,
! [X8,X6,X7,X5] :
( X5 = X6
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP4(app(X7,cons(X5,cons(X6,X8)))) ),
inference(equality_resolution,[],[f476]) ).
fof(f476,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f481,plain,
! [X0] :
( sP4(X0)
| app(sK31(X0),cons(sK29(X0),cons(sK30(X0),sK32(X0)))) = X0 ),
inference(cnf_transformation,[],[f295]) ).
fof(f466,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f463,plain,
! [X0] :
( cons(sK25(X0),sK24(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f450,plain,
! [X2,X0,X1] :
( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f451,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f452,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f448,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f274]) ).
fof(f440,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f270]) ).
fof(f431,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
fof(f432,plain,
! [X2,X3,X0,X1] :
( frontsegP(X2,X3)
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f635,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f609]) ).
fof(f609,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f433]) ).
fof(f433,plain,
! [X2,X3,X0,X1] :
( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f428,plain,
! [X2,X0,X1] :
( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f430,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f427,plain,
! [X2,X0,X1] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& lt(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f426,plain,
! [X2,X0,X1] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& leq(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
fof(f425,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f424,plain,
! [X2,X0,X1] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X0,X1) )
=> geq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
fof(f423,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(f637,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f607]) ).
fof(f607,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f420]) ).
fof(f420,plain,
! [X0,X1] :
( X0 != X1
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f422,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f413,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f412,plain,
! [X0,X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( geq(X1,X0)
& geq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
fof(f410,plain,
! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( lt(X0,X1)
| X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(f384,plain,
( nil != sK21
| nil = sK20 ),
inference(cnf_transformation,[],[f257]) ).
fof(f385,plain,
( ~ neq(sK21,nil)
| ssItem(sK22) ),
inference(cnf_transformation,[],[f257]) ).
fof(f386,plain,
( ~ neq(sK21,nil)
| ssList(sK23) ),
inference(cnf_transformation,[],[f257]) ).
fof(f387,plain,
( ~ neq(sK21,nil)
| sK20 = app(cons(sK22,nil),sK23) ),
inference(cnf_transformation,[],[f257]) ).
fof(f388,plain,
( ~ neq(sK21,nil)
| sK21 = app(sK23,cons(sK22,nil)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f1195,plain,
( ~ spl71_1
| ~ spl71_2 ),
inference(avatar_contradiction_clause,[],[f1194]) ).
fof(f1194,plain,
( $false
| ~ spl71_1
| ~ spl71_2 ),
inference(subsumption_resolution,[],[f1193,f397]) ).
fof(f1193,plain,
( ~ ssList(nil)
| ~ spl71_1
| ~ spl71_2 ),
inference(subsumption_resolution,[],[f1192,f649]) ).
fof(f649,plain,
( ssItem(sK22)
| ~ spl71_1 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl71_1
<=> ssItem(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1])]) ).
fof(f1192,plain,
( ~ ssItem(sK22)
| ~ ssList(nil)
| ~ spl71_2 ),
inference(resolution,[],[f1191,f559]) ).
fof(f1191,plain,
( ~ ssList(cons(sK22,nil))
| ~ spl71_2 ),
inference(subsumption_resolution,[],[f1190,f1059]) ).
fof(f1059,plain,
( ssList(sK23)
| ~ spl71_2 ),
inference(subsumption_resolution,[],[f645,f652]) ).
fof(f652,plain,
( neq(sK19,nil)
| ~ spl71_2 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f1190,plain,
( ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ spl71_2 ),
inference(subsumption_resolution,[],[f1161,f1097]) ).
fof(f1097,plain,
( sK19 = app(sK23,cons(sK22,nil))
| ~ spl71_2 ),
inference(subsumption_resolution,[],[f1053,f652]) ).
fof(f1161,plain,
( sK19 != app(sK23,cons(sK22,nil))
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ spl71_2 ),
inference(trivial_inequality_removal,[],[f1160]) ).
fof(f1160,plain,
( sK18 != sK18
| sK19 != app(sK23,cons(sK22,nil))
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ spl71_2 ),
inference(superposition,[],[f383,f1142]) ).
fof(f1142,plain,
( sK18 = app(cons(sK22,nil),sK23)
| ~ spl71_2 ),
inference(subsumption_resolution,[],[f1054,f652]) ).
fof(f1140,plain,
( spl71_7
| spl71_8
| ~ spl71_2 ),
inference(avatar_split_clause,[],[f1062,f651,f1137,f1133]) ).
fof(f1133,plain,
( spl71_7
<=> tl(sK23) = sK27(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_7])]) ).
fof(f1137,plain,
( spl71_8
<=> nil = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_8])]) ).
fof(f1062,plain,
( nil = sK23
| tl(sK23) = sK27(sK23)
| ~ spl71_2 ),
inference(resolution,[],[f1059,f470]) ).
fof(f1052,plain,
( spl71_2
| spl71_3 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| spl71_2
| spl71_3 ),
inference(subsumption_resolution,[],[f1050,f378]) ).
fof(f1050,plain,
( ~ ssList(sK19)
| spl71_2
| spl71_3 ),
inference(subsumption_resolution,[],[f1049,f397]) ).
fof(f1049,plain,
( ~ ssList(nil)
| ~ ssList(sK19)
| spl71_2
| spl71_3 ),
inference(subsumption_resolution,[],[f1048,f665]) ).
fof(f665,plain,
( nil != sK19
| spl71_3 ),
inference(superposition,[],[f659,f381]) ).
fof(f659,plain,
( nil != sK21
| spl71_3 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f657,plain,
( spl71_3
<=> nil = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_3])]) ).
fof(f1048,plain,
( nil = sK19
| ~ ssList(nil)
| ~ ssList(sK19)
| spl71_2 ),
inference(resolution,[],[f577,f653]) ).
fof(f784,plain,
( ~ spl71_5
| ~ spl71_6
| spl71_2
| spl71_3 ),
inference(avatar_split_clause,[],[f775,f657,f651,f781,f777]) ).
fof(f777,plain,
( spl71_5
<=> ssItem(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_5])]) ).
fof(f781,plain,
( spl71_6
<=> ssItem(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_6])]) ).
fof(f775,plain,
( ~ ssItem(nil)
| ~ ssItem(sK19)
| spl71_2
| spl71_3 ),
inference(subsumption_resolution,[],[f774,f665]) ).
fof(f774,plain,
( nil = sK19
| ~ ssItem(nil)
| ~ ssItem(sK19)
| spl71_2 ),
inference(resolution,[],[f415,f653]) ).
fof(f664,plain,
( ~ spl71_3
| spl71_4 ),
inference(avatar_split_clause,[],[f655,f661,f657]) ).
fof(f654,plain,
( spl71_1
| ~ spl71_2 ),
inference(avatar_split_clause,[],[f644,f651,f647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC325+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:18:31 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (28888)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (28895)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (28891)WARNING: value z3 for option sas not known
% 0.14/0.38 % (28889)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (28892)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (28891)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (28890)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (28894)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (28893)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.14/0.41 TRYING [3]
% 0.14/0.41 % (28891)First to succeed.
% 0.21/0.43 % (28891)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (28891)------------------------------
% 0.21/0.44 % (28891)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.44 % (28891)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (28891)Memory used [KB]: 1682
% 0.21/0.44 % (28891)Time elapsed: 0.052 s
% 0.21/0.44 % (28891)Instructions burned: 101 (million)
% 0.21/0.44 % (28891)------------------------------
% 0.21/0.44 % (28891)------------------------------
% 0.21/0.44 % (28888)Success in time 0.077 s
%------------------------------------------------------------------------------