TSTP Solution File: RNG093+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG093+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 May 21 02:42:31 EDT 2024
% Result : Theorem 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 66
% Syntax : Number of formulae : 723 ( 80 unt; 0 def)
% Number of atoms : 2451 ( 334 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 2887 (1159 ~;1348 |; 257 &)
% ( 53 <=>; 70 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 26 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-3 aty)
% Number of variables : 1020 ( 949 !; 71 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2802,plain,
$false,
inference(avatar_sat_refutation,[],[f204,f369,f434,f484,f528,f537,f575,f603,f640,f642,f809,f897,f906,f1052,f1107,f1153,f1763,f1767,f2383,f2724,f2729,f2763,f2794,f2797,f2799,f2801]) ).
fof(f2801,plain,
( spl18_2
| spl18_5
| ~ spl18_13 ),
inference(avatar_contradiction_clause,[],[f2800]) ).
fof(f2800,plain,
( $false
| spl18_2
| spl18_5
| ~ spl18_13 ),
inference(global_subsumption,[],[f202,f167,f166,f179,f122,f125,f126,f129,f130,f131,f132,f112,f121,f116,f151,f134,f117,f173,f113,f205,f114,f206,f133,f211,f212,f210,f135,f216,f213,f214,f136,f221,f219,f137,f226,f138,f228,f231,f223,f224,f229,f139,f235,f236,f234,f140,f240,f180,f241,f141,f245,f246,f243,f244,f142,f250,f251,f248,f152,f249,f153,f258,f262,f269,f270,f260,f263,f264,f256,f272,f273,f274,f275,f276,f277,f278,f279,f154,f155,f181,f282,f283,f284,f285,f286,f287,f288,f289,f182,f306,f307,f308,f309,f310,f311,f312,f313,f192,f215,f332,f333,f334,f338,f335,f330,f331,f337,f220,f346,f347,f348,f352,f349,f344,f115,f345,f360,f351,f281,f265,f266,f267,f268,f143,f381,f382,f383,f386,f387,f388,f384,f380,f144,f399,f400,f401,f404,f405,f402,f398,f193,f410,f225,f413,f414,f415,f418,f419,f416,f412,f230,f437,f438,f439,f442,f443,f440,f436,f124,f485,f486,f462,f490,f493,f494,f498,f128,f539,f576,f577,f582,f583,f585,f586,f596,f119,f491,f502,f497,f590,f553,f589,f146,f712,f713,f714,f715,f722,f770,f772,f773,f783,f174,f813,f764,f775,f776,f175,f820,f191,f120,f771,f123,f961,f127,f1004,f1036,f761,f1041,f762,f145,f1053,f1055,f1056,f1057,f1061,f1088,f1068,f1092,f1070,f1093,f183,f1112,f1113,f1114,f1118,f1119,f1124,f1125,f774,f1135,f184,f1179,f1180,f1181,f1186,f1187,f1192,f1193,f1089,f147,f1226,f1227,f1228,f1229,f815,f817,f172,f160,f1284,f161,f1370,f176,f1400,f1121,f1414,f1419,f1420,f1426,f1427,f1413,f1431,f148,f1443,f1444,f1442,f1189,f1470,f1475,f1476,f1482,f1483,f149,f1540,f1541,f1539,f170,f767,f185,f782,f1708,f910,f190,f1758,f164,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f165,f1879,f1880,f1881,f1882,f1883,f1884,f1885,f1886,f150,f1951,f1952,f1950,f156,f2030,f2031,f2032,f2033,f2029,f2034,f2035,f2036,f157,f2111,f158,f2178,f2180,f2181,f2182,f159,f2261,f186,f2338,f2339,f2340,f2347,f2348,f2359,f2362,f2363,f187,f2411,f2412,f2413,f2420,f2421,f2432,f2435,f2436,f162,f2484,f177,f2535,f2536,f2537,f2538,f2539,f2531,f2532,f2540,f2534,f178,f2590,f2591,f2592,f2593,f2594,f2586,f2587,f2595,f2589,f188,f2645,f2646,f2647,f2654,f2655,f2666,f2669,f2670,f189,f2689,f2690,f2691,f2698,f2699,f2710,f2713,f2714,f1243,f769,f752,f750,f749,f760,f756,f757,f118,f891,f2795,f429]) ).
fof(f429,plain,
( ~ aElementOf0(sdtasdt0(sK5,sK4),xI)
| spl18_5 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl18_5
<=> aElementOf0(sdtasdt0(sK5,sK4),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).
fof(f2795,plain,
( ~ aElement0(sK5)
| spl18_5 ),
inference(subsumption_resolution,[],[f448,f205]) ).
fof(f448,plain,
( ~ aElement0(sK5)
| ~ aElementOf0(sK4,xI)
| spl18_5 ),
inference(resolution,[],[f124,f429]) ).
fof(f891,plain,
( aElementOf0(sdtpldt0(sK4,sK6),sdtasasdt0(xI,xJ))
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl18_13
<=> aElementOf0(sdtpldt0(sK4,sK6),sdtasasdt0(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).
fof(f118,plain,
( aElement0(sK5)
| ~ aElementOf0(sdtpldt0(sK4,sK6),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ~ aIdeal0(sdtasasdt0(xI,xJ))
& ( ( ~ aElementOf0(sdtasdt0(sK5,sK4),sdtasasdt0(xI,xJ))
& aElement0(sK5) )
| ( ~ aElementOf0(sdtpldt0(sK4,sK6),sdtasasdt0(xI,xJ))
& aElementOf0(sK6,sdtasasdt0(xI,xJ)) ) )
& aElementOf0(sK4,sdtasasdt0(xI,xJ))
& ! [X3] :
( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X3,xI) )
& ( ( aElementOf0(X3,xJ)
& aElementOf0(X3,xI) )
| ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
& aSet0(sdtasasdt0(xI,xJ)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f79,f82,f81,f80]) ).
fof(f80,plain,
( ? [X0] :
( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))
& aElement0(X1) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X0,sdtasasdt0(xI,xJ)) )
=> ( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,sK4),sdtasasdt0(xI,xJ))
& aElement0(X1) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(sK4,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) ) )
& aElementOf0(sK4,sdtasasdt0(xI,xJ)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,sK4),sdtasasdt0(xI,xJ))
& aElement0(X1) )
=> ( ~ aElementOf0(sdtasdt0(sK5,sK4),sdtasasdt0(xI,xJ))
& aElement0(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X2] :
( ~ aElementOf0(sdtpldt0(sK4,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) )
=> ( ~ aElementOf0(sdtpldt0(sK4,sK6),sdtasasdt0(xI,xJ))
& aElementOf0(sK6,sdtasasdt0(xI,xJ)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X0] :
( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))
& aElement0(X1) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X0,sdtasasdt0(xI,xJ)) )
& ! [X3] :
( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X3,xI) )
& ( ( aElementOf0(X3,xJ)
& aElementOf0(X3,xI) )
| ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
& aSet0(sdtasasdt0(xI,xJ)) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
( ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
& aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ! [X0] :
( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X0,xI) )
& ( ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) )
| ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) )
& aSet0(sdtasasdt0(xI,xJ)) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
( ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
& aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ! [X0] :
( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X0,xI) )
& ( ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) )
| ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) )
& aSet0(sdtasasdt0(xI,xJ)) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
& aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& aSet0(sdtasasdt0(xI,xJ)) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
( ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
& aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& aSet0(sdtasasdt0(xI,xJ)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& aSet0(sdtasasdt0(xI,xJ)) )
=> ( aIdeal0(sdtasasdt0(xI,xJ))
| ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ)) )
& ! [X3] :
( aElementOf0(X3,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ)) ) ) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& aSet0(sdtasasdt0(xI,xJ)) )
=> ( aIdeal0(sdtasasdt0(xI,xJ))
| ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) )
& ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) ) ) ) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& aSet0(sdtasasdt0(xI,xJ)) )
=> ( aIdeal0(sdtasasdt0(xI,xJ))
| ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) )
& ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f757,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ sP0(X0,sz00) ),
inference(subsumption_resolution,[],[f723,f210]) ).
fof(f723,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sK4)
| ~ sP0(X0,sz00) ),
inference(superposition,[],[f146,f216]) ).
fof(f756,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ sP0(X0,sz00) ),
inference(global_subsumption,[],[f120,f127,f123,f150,f149,f148,f147,f145,f159,f158,f157,f156,f167,f166,f165,f164,f190,f162,f161,f160,f170,f191,f172,f179,f178,f177,f176,f175,f174,f183,f184,f185,f186,f187,f189,f188,f122,f125,f126,f129,f130,f131,f132,f112,f121,f116,f151,f134,f117,f173,f113,f205,f114,f206,f133,f211,f212,f210,f135,f216,f213,f214,f136,f221,f219,f137,f226,f138,f228,f231,f223,f224,f229,f139,f235,f236,f234,f140,f240,f180,f241,f141,f245,f246,f243,f244,f142,f250,f251,f248,f152,f249,f153,f258,f262,f269,f270,f260,f263,f264,f256,f272,f273,f274,f275,f276,f277,f278,f279,f154,f155,f181,f282,f283,f284,f285,f286,f287,f288,f289,f182,f306,f307,f308,f309,f310,f311,f312,f313,f192,f215,f332,f333,f334,f338,f335,f330,f331,f337,f220,f346,f347,f348,f352,f349,f344,f115,f345,f360,f351,f281,f265,f266,f267,f268,f143,f381,f382,f383,f386,f387,f388,f384,f380,f144,f399,f400,f401,f404,f405,f402,f398,f193,f410,f225,f413,f414,f415,f418,f419,f416,f412,f230,f437,f438,f439,f442,f443,f440,f436,f124,f485,f486,f462,f490,f493,f494,f498,f128,f539,f576,f577,f582,f583,f585,f586,f596,f119,f491,f502,f497,f590,f553,f589,f118,f146,f712,f713,f714,f715,f749,f750,f752,f722]) ).
fof(f760,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ sP0(X0,sz00) ),
inference(subsumption_resolution,[],[f726,f262]) ).
fof(f726,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sK9(sdtasasdt0(xI,xJ)))
| ~ sP0(X0,sz00) ),
inference(superposition,[],[f146,f263]) ).
fof(f749,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ sP0(X0,sz00) ),
inference(subsumption_resolution,[],[f716,f131]) ).
fof(f716,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(X0,sz00) ),
inference(superposition,[],[f146,f213]) ).
fof(f750,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ sP0(X0,sz00) ),
inference(subsumption_resolution,[],[f717,f130]) ).
fof(f717,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz10)
| ~ sP0(X0,sz00) ),
inference(superposition,[],[f146,f214]) ).
fof(f752,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ sP0(X0,sz00) ),
inference(subsumption_resolution,[],[f751,f131]) ).
fof(f751,plain,
! [X0] :
( ~ aElement0(sz00)
| aElementOf0(sz00,X0)
| ~ sP0(X0,sz00) ),
inference(forward_demodulation,[],[f718,f388]) ).
fof(f718,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(smndt0(sz00))
| ~ sP0(X0,sz00) ),
inference(superposition,[],[f146,f330]) ).
fof(f769,plain,
! [X0] :
( ~ sP0(X0,sz00)
| aElementOf0(sz00,X0) ),
inference(forward_demodulation,[],[f768,f388]) ).
fof(f768,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ sP0(X0,smndt0(sz00)) ),
inference(subsumption_resolution,[],[f734,f131]) ).
fof(f734,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(X0,smndt0(sz00)) ),
inference(superposition,[],[f146,f344]) ).
fof(f1243,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0) ),
inference(duplicate_literal_removal,[],[f1238]) ).
fof(f1238,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0)
| ~ aIdeal0(X0) ),
inference(resolution,[],[f817,f815]) ).
fof(f2714,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK9(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(sK9(X1),X2))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aSet0(X1)
| aIdeal0(X1) ),
inference(resolution,[],[f189,f256]) ).
fof(f2713,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK9(sdtasasdt0(xI,xJ))),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK9(sdtasasdt0(xI,xJ)),X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f189,f262]) ).
fof(f2710,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sK4),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sK4,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f189,f210]) ).
fof(f2699,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f189,f182]) ).
fof(f2698,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f189,f181]) ).
fof(f2691,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(smndt0(X1),X2))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f189,f134]) ).
fof(f2690,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f189,f130]) ).
fof(f2689,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f189,f131]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f2670,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK9(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK9(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(X2)
| aIdeal0(X2) ),
inference(resolution,[],[f188,f256]) ).
fof(f2669,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK9(sdtasasdt0(xI,xJ)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK9(sdtasasdt0(xI,xJ))))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f188,f262]) ).
fof(f2666,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK4)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f188,f210]) ).
fof(f2655,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(resolution,[],[f188,f182]) ).
fof(f2654,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(resolution,[],[f188,f181]) ).
fof(f2647,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(resolution,[],[f188,f134]) ).
fof(f2646,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f188,f130]) ).
fof(f2645,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f188,f131]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f2589,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,X0),X0)
| sP2(X0,X1,X0)
| ~ aSet0(X0) ),
inference(factoring,[],[f178]) ).
fof(f2595,plain,
! [X0,X1] :
( sP2(xJ,X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(sK17(xJ,X0,X1),xI)
| aElement0(sK17(xJ,X0,X1)) ),
inference(subsumption_resolution,[],[f2588,f133]) ).
fof(f2588,plain,
! [X0,X1] :
( aElementOf0(sK17(xJ,X0,X1),X1)
| sP2(xJ,X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(sK17(xJ,X0,X1),xI)
| aElement0(sK17(xJ,X0,X1)) ),
inference(resolution,[],[f178,f360]) ).
fof(f2587,plain,
! [X0,X1] :
( aElementOf0(sK17(sdtasasdt0(xI,xJ),X0,X1),X1)
| sP2(sdtasasdt0(xI,xJ),X0,X1)
| ~ aSet0(X1)
| aElementOf0(sK17(sdtasasdt0(xI,xJ),X0,X1),xI) ),
inference(resolution,[],[f178,f113]) ).
fof(f2586,plain,
! [X0,X1] :
( aElementOf0(sK17(sdtasasdt0(xI,xJ),X0,X1),X1)
| sP2(sdtasasdt0(xI,xJ),X0,X1)
| ~ aSet0(X1)
| aElementOf0(sK17(sdtasasdt0(xI,xJ),X0,X1),xJ) ),
inference(resolution,[],[f178,f114]) ).
fof(f2594,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK17(X0,X1,X2))
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f2585,f133]) ).
fof(f2585,plain,
! [X2,X0,X1] :
( aElementOf0(sK17(X0,X1,X2),X2)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK17(X0,X1,X2))
| ~ aSet0(X0) ),
inference(resolution,[],[f178,f133]) ).
fof(f2593,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,xJ),X0)
| sP2(X0,X1,xJ)
| ~ aElementOf0(sK17(X0,X1,xJ),xI)
| aElement0(sK17(X0,X1,xJ)) ),
inference(subsumption_resolution,[],[f2584,f126]) ).
fof(f2584,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,xJ),X0)
| sP2(X0,X1,xJ)
| ~ aSet0(xJ)
| ~ aElementOf0(sK17(X0,X1,xJ),xI)
| aElement0(sK17(X0,X1,xJ)) ),
inference(resolution,[],[f178,f360]) ).
fof(f2592,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),X0)
| sP2(X0,X1,sdtasasdt0(xI,xJ))
| aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),xI) ),
inference(subsumption_resolution,[],[f2583,f112]) ).
fof(f2583,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),X0)
| sP2(X0,X1,sdtasasdt0(xI,xJ))
| ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),xI) ),
inference(resolution,[],[f178,f113]) ).
fof(f2591,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),X0)
| sP2(X0,X1,sdtasasdt0(xI,xJ))
| aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),xJ) ),
inference(subsumption_resolution,[],[f2582,f112]) ).
fof(f2582,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),X0)
| sP2(X0,X1,sdtasasdt0(xI,xJ))
| ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),xJ) ),
inference(resolution,[],[f178,f114]) ).
fof(f2590,plain,
! [X2,X0,X1] :
( aElementOf0(sK17(X0,X1,X2),X0)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK17(X0,X1,X2)) ),
inference(duplicate_literal_removal,[],[f2581]) ).
fof(f2581,plain,
! [X2,X0,X1] :
( aElementOf0(sK17(X0,X1,X2),X0)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK17(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f178,f133]) ).
fof(f178,plain,
! [X2,X0,X1] :
( aElementOf0(sK17(X0,X1,X2),X2)
| aElementOf0(sK17(X0,X1,X2),X0)
| sP2(X0,X1,X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( ~ aElementOf0(sK17(X0,X1,X2),X0)
| ~ aElementOf0(sK17(X0,X1,X2),X1)
| ~ aElementOf0(sK17(X0,X1,X2),X2) )
& ( ( aElementOf0(sK17(X0,X1,X2),X0)
& aElementOf0(sK17(X0,X1,X2),X1) )
| aElementOf0(sK17(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f109,f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ aElementOf0(sK17(X0,X1,X2),X0)
| ~ aElementOf0(sK17(X0,X1,X2),X1)
| ~ aElementOf0(sK17(X0,X1,X2),X2) )
& ( ( aElementOf0(sK17(X0,X1,X2),X0)
& aElementOf0(sK17(X0,X1,X2),X1) )
| aElementOf0(sK17(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2534,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,X1),X1)
| sP2(X0,X1,X1)
| ~ aSet0(X1) ),
inference(factoring,[],[f177]) ).
fof(f2540,plain,
! [X0,X1] :
( sP2(X0,xJ,X1)
| ~ aSet0(X1)
| ~ aElementOf0(sK17(X0,xJ,X1),xI)
| aElement0(sK17(X0,xJ,X1)) ),
inference(subsumption_resolution,[],[f2533,f133]) ).
fof(f2533,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,xJ,X1),X1)
| sP2(X0,xJ,X1)
| ~ aSet0(X1)
| ~ aElementOf0(sK17(X0,xJ,X1),xI)
| aElement0(sK17(X0,xJ,X1)) ),
inference(resolution,[],[f177,f360]) ).
fof(f2532,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,sdtasasdt0(xI,xJ),X1),X1)
| sP2(X0,sdtasasdt0(xI,xJ),X1)
| ~ aSet0(X1)
| aElementOf0(sK17(X0,sdtasasdt0(xI,xJ),X1),xI) ),
inference(resolution,[],[f177,f113]) ).
fof(f2531,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,sdtasasdt0(xI,xJ),X1),X1)
| sP2(X0,sdtasasdt0(xI,xJ),X1)
| ~ aSet0(X1)
| aElementOf0(sK17(X0,sdtasasdt0(xI,xJ),X1),xJ) ),
inference(resolution,[],[f177,f114]) ).
fof(f2539,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK17(X0,X1,X2))
| ~ aSet0(X1) ),
inference(subsumption_resolution,[],[f2530,f133]) ).
fof(f2530,plain,
! [X2,X0,X1] :
( aElementOf0(sK17(X0,X1,X2),X2)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK17(X0,X1,X2))
| ~ aSet0(X1) ),
inference(resolution,[],[f177,f133]) ).
fof(f2538,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,xJ),X1)
| sP2(X0,X1,xJ)
| ~ aElementOf0(sK17(X0,X1,xJ),xI)
| aElement0(sK17(X0,X1,xJ)) ),
inference(subsumption_resolution,[],[f2529,f126]) ).
fof(f2529,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,xJ),X1)
| sP2(X0,X1,xJ)
| ~ aSet0(xJ)
| ~ aElementOf0(sK17(X0,X1,xJ),xI)
| aElement0(sK17(X0,X1,xJ)) ),
inference(resolution,[],[f177,f360]) ).
fof(f2537,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),X1)
| sP2(X0,X1,sdtasasdt0(xI,xJ))
| aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),xI) ),
inference(subsumption_resolution,[],[f2528,f112]) ).
fof(f2528,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),X1)
| sP2(X0,X1,sdtasasdt0(xI,xJ))
| ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),xI) ),
inference(resolution,[],[f177,f113]) ).
fof(f2536,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),X1)
| sP2(X0,X1,sdtasasdt0(xI,xJ))
| aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),xJ) ),
inference(subsumption_resolution,[],[f2527,f112]) ).
fof(f2527,plain,
! [X0,X1] :
( aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),X1)
| sP2(X0,X1,sdtasasdt0(xI,xJ))
| ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK17(X0,X1,sdtasasdt0(xI,xJ)),xJ) ),
inference(resolution,[],[f177,f114]) ).
fof(f2535,plain,
! [X2,X0,X1] :
( aElementOf0(sK17(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK17(X0,X1,X2)) ),
inference(duplicate_literal_removal,[],[f2526]) ).
fof(f2526,plain,
! [X2,X0,X1] :
( aElementOf0(sK17(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2)
| aElement0(sK17(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f177,f133]) ).
fof(f177,plain,
! [X2,X0,X1] :
( aElementOf0(sK17(X0,X1,X2),X2)
| aElementOf0(sK17(X0,X1,X2),X1)
| sP2(X0,X1,X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f2484,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(X1,X2))
| sdtpldt0(sK15(X2,X1,X0),sK16(X2,X1,X0)) = X0
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(resolution,[],[f162,f191]) ).
fof(f162,plain,
! [X2,X0,X1,X8] :
( ~ sP1(X0,X1,X2)
| ~ aElementOf0(X8,X2)
| sdtpldt0(sK15(X0,X1,X8),sK16(X0,X1,X8)) = X8 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != sK12(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK12(X0,X1,X2),X2) )
& ( ( sK12(X0,X1,X2) = sdtpldt0(sK13(X0,X1,X2),sK14(X0,X1,X2))
& aElementOf0(sK14(X0,X1,X2),X0)
& aElementOf0(sK13(X0,X1,X2),X1) )
| aElementOf0(sK12(X0,X1,X2),X2) ) ) )
& ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ( sdtpldt0(sK15(X0,X1,X8),sK16(X0,X1,X8)) = X8
& aElementOf0(sK16(X0,X1,X8),X0)
& aElementOf0(sK15(X0,X1,X8),X1) )
| ~ aElementOf0(X8,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f99,f102,f101,f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X5,X4] :
( sdtpldt0(X4,X5) != sK12(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK12(X0,X1,X2),X2) )
& ( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK12(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(sK12(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK12(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
=> ( sK12(X0,X1,X2) = sdtpldt0(sK13(X0,X1,X2),sK14(X0,X1,X2))
& aElementOf0(sK14(X0,X1,X2),X0)
& aElementOf0(sK13(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1,X8] :
( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
=> ( sdtpldt0(sK15(X0,X1,X8),sK16(X0,X1,X8)) = X8
& aElementOf0(sK16(X0,X1,X8),X0)
& aElementOf0(sK15(X0,X1,X8),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
| ~ aElementOf0(X8,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X1,X0,X2] :
( sP1(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2436,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK9(X2)) = sdtasdt0(X0,sdtasdt0(X1,sK9(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(X2)
| aIdeal0(X2) ),
inference(resolution,[],[f187,f256]) ).
fof(f2435,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK9(sdtasasdt0(xI,xJ))) = sdtasdt0(X0,sdtasdt0(X1,sK9(sdtasasdt0(xI,xJ))))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f187,f262]) ).
fof(f2432,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK4) = sdtasdt0(X0,sdtasdt0(X1,sK4))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f187,f210]) ).
fof(f2421,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(resolution,[],[f187,f182]) ).
fof(f2420,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(resolution,[],[f187,f181]) ).
fof(f2413,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(resolution,[],[f187,f134]) ).
fof(f2412,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f187,f130]) ).
fof(f2411,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f187,f131]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f2363,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK9(X2)) = sdtpldt0(X0,sdtpldt0(X1,sK9(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(X2)
| aIdeal0(X2) ),
inference(resolution,[],[f186,f256]) ).
fof(f2362,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK9(sdtasasdt0(xI,xJ))) = sdtpldt0(X0,sdtpldt0(X1,sK9(sdtasasdt0(xI,xJ))))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f186,f262]) ).
fof(f2359,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK4) = sdtpldt0(X0,sdtpldt0(X1,sK4))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f186,f210]) ).
fof(f2348,plain,
! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(resolution,[],[f186,f182]) ).
fof(f2347,plain,
! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(resolution,[],[f186,f181]) ).
fof(f2340,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(resolution,[],[f186,f134]) ).
fof(f2339,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f186,f130]) ).
fof(f2338,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f186,f131]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f2261,plain,
! [X0] :
( ~ aElementOf0(sK10(X0,sdtasasdt0(xI,xJ)),X0)
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| ~ aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),xJ)
| ~ aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),xI) ),
inference(subsumption_resolution,[],[f2258,f112]) ).
fof(f2258,plain,
! [X0] :
( ~ aElementOf0(sK10(X0,sdtasasdt0(xI,xJ)),X0)
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(sdtasasdt0(xI,xJ))
| ~ aSet0(X0)
| ~ aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),xJ)
| ~ aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),xI) ),
inference(resolution,[],[f159,f115]) ).
fof(f159,plain,
! [X0,X1] :
( ~ aElementOf0(sK11(X0,X1),X1)
| ~ aElementOf0(sK10(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( X0 = X1
| ( ~ aElementOf0(sK10(X0,X1),X0)
& aElementOf0(sK10(X0,X1),X1) )
| ( ~ aElementOf0(sK11(X0,X1),X1)
& aElementOf0(sK11(X0,X1),X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f49,f96,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK10(X0,X1),X0)
& aElementOf0(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sK11(X0,X1),X1)
& aElementOf0(sK11(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ? [X3] :
( ~ aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(X3,X1) ) )
=> X0 = X1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,X1) ) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSetEq) ).
fof(f2182,plain,
! [X0] :
( ~ aElementOf0(sK10(xJ,X0),xJ)
| xJ = X0
| ~ aSet0(X0)
| ~ aElementOf0(sK11(xJ,X0),xI)
| aElement0(sK11(xJ,X0)) ),
inference(subsumption_resolution,[],[f2177,f126]) ).
fof(f2177,plain,
! [X0] :
( ~ aElementOf0(sK10(xJ,X0),xJ)
| xJ = X0
| ~ aSet0(X0)
| ~ aSet0(xJ)
| ~ aElementOf0(sK11(xJ,X0),xI)
| aElement0(sK11(xJ,X0)) ),
inference(resolution,[],[f158,f360]) ).
fof(f2181,plain,
! [X0] :
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ),X0),sdtasasdt0(xI,xJ))
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| aElementOf0(sK11(sdtasasdt0(xI,xJ),X0),xI) ),
inference(subsumption_resolution,[],[f2176,f112]) ).
fof(f2176,plain,
! [X0] :
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ),X0),sdtasasdt0(xI,xJ))
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK11(sdtasasdt0(xI,xJ),X0),xI) ),
inference(resolution,[],[f158,f113]) ).
fof(f2180,plain,
! [X0] :
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ),X0),sdtasasdt0(xI,xJ))
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| aElementOf0(sK11(sdtasasdt0(xI,xJ),X0),xJ) ),
inference(subsumption_resolution,[],[f2175,f112]) ).
fof(f2175,plain,
! [X0] :
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ),X0),sdtasasdt0(xI,xJ))
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK11(sdtasasdt0(xI,xJ),X0),xJ) ),
inference(resolution,[],[f158,f114]) ).
fof(f2178,plain,
! [X0,X1] :
( ~ aElementOf0(sK10(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK11(X0,X1)) ),
inference(duplicate_literal_removal,[],[f2174]) ).
fof(f2174,plain,
! [X0,X1] :
( ~ aElementOf0(sK10(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK11(X0,X1))
| ~ aSet0(X0) ),
inference(resolution,[],[f158,f133]) ).
fof(f158,plain,
! [X0,X1] :
( aElementOf0(sK11(X0,X1),X0)
| ~ aElementOf0(sK10(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f2111,plain,
! [X0] :
( aElementOf0(sK10(X0,sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| ~ aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),xJ)
| ~ aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),xI) ),
inference(subsumption_resolution,[],[f2109,f112]) ).
fof(f2109,plain,
! [X0] :
( aElementOf0(sK10(X0,sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(sdtasasdt0(xI,xJ))
| ~ aSet0(X0)
| ~ aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),xJ)
| ~ aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),xI) ),
inference(resolution,[],[f157,f115]) ).
fof(f157,plain,
! [X0,X1] :
( ~ aElementOf0(sK11(X0,X1),X1)
| aElementOf0(sK10(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f2036,plain,
! [X0] :
( aElementOf0(sK11(X0,xJ),X0)
| xJ = X0
| ~ aSet0(X0)
| ~ aElementOf0(sK10(X0,xJ),xI)
| aElement0(sK10(X0,xJ)) ),
inference(subsumption_resolution,[],[f2028,f126]) ).
fof(f2028,plain,
! [X0] :
( aElementOf0(sK11(X0,xJ),X0)
| xJ = X0
| ~ aSet0(xJ)
| ~ aSet0(X0)
| ~ aElementOf0(sK10(X0,xJ),xI)
| aElement0(sK10(X0,xJ)) ),
inference(resolution,[],[f156,f360]) ).
fof(f2035,plain,
! [X0] :
( aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),X0)
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| aElementOf0(sK10(X0,sdtasasdt0(xI,xJ)),xI) ),
inference(subsumption_resolution,[],[f2027,f112]) ).
fof(f2027,plain,
! [X0] :
( aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),X0)
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(sdtasasdt0(xI,xJ))
| ~ aSet0(X0)
| aElementOf0(sK10(X0,sdtasasdt0(xI,xJ)),xI) ),
inference(resolution,[],[f156,f113]) ).
fof(f2034,plain,
! [X0] :
( aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),X0)
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| aElementOf0(sK10(X0,sdtasasdt0(xI,xJ)),xJ) ),
inference(subsumption_resolution,[],[f2026,f112]) ).
fof(f2026,plain,
! [X0] :
( aElementOf0(sK11(X0,sdtasasdt0(xI,xJ)),X0)
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(sdtasasdt0(xI,xJ))
| ~ aSet0(X0)
| aElementOf0(sK10(X0,sdtasasdt0(xI,xJ)),xJ) ),
inference(resolution,[],[f156,f114]) ).
fof(f2029,plain,
! [X0,X1] :
( aElementOf0(sK11(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK10(X0,X1)) ),
inference(duplicate_literal_removal,[],[f2025]) ).
fof(f2025,plain,
! [X0,X1] :
( aElementOf0(sK11(X0,X1),X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK10(X0,X1))
| ~ aSet0(X1) ),
inference(resolution,[],[f156,f133]) ).
fof(f2033,plain,
! [X0] :
( aElementOf0(sK10(xJ,X0),X0)
| xJ = X0
| ~ aSet0(X0)
| ~ aElementOf0(sK11(xJ,X0),xI)
| aElement0(sK11(xJ,X0)) ),
inference(subsumption_resolution,[],[f2024,f126]) ).
fof(f2024,plain,
! [X0] :
( aElementOf0(sK10(xJ,X0),X0)
| xJ = X0
| ~ aSet0(X0)
| ~ aSet0(xJ)
| ~ aElementOf0(sK11(xJ,X0),xI)
| aElement0(sK11(xJ,X0)) ),
inference(resolution,[],[f156,f360]) ).
fof(f2032,plain,
! [X0] :
( aElementOf0(sK10(sdtasasdt0(xI,xJ),X0),X0)
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| aElementOf0(sK11(sdtasasdt0(xI,xJ),X0),xI) ),
inference(subsumption_resolution,[],[f2023,f112]) ).
fof(f2023,plain,
! [X0] :
( aElementOf0(sK10(sdtasasdt0(xI,xJ),X0),X0)
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK11(sdtasasdt0(xI,xJ),X0),xI) ),
inference(resolution,[],[f156,f113]) ).
fof(f2031,plain,
! [X0] :
( aElementOf0(sK10(sdtasasdt0(xI,xJ),X0),X0)
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| aElementOf0(sK11(sdtasasdt0(xI,xJ),X0),xJ) ),
inference(subsumption_resolution,[],[f2022,f112]) ).
fof(f2022,plain,
! [X0] :
( aElementOf0(sK10(sdtasasdt0(xI,xJ),X0),X0)
| sdtasasdt0(xI,xJ) = X0
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK11(sdtasasdt0(xI,xJ),X0),xJ) ),
inference(resolution,[],[f156,f114]) ).
fof(f2030,plain,
! [X0,X1] :
( aElementOf0(sK10(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK11(X0,X1)) ),
inference(duplicate_literal_removal,[],[f2021]) ).
fof(f2021,plain,
! [X0,X1] :
( aElementOf0(sK10(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElement0(sK11(X0,X1))
| ~ aSet0(X0) ),
inference(resolution,[],[f156,f133]) ).
fof(f156,plain,
! [X0,X1] :
( aElementOf0(sK11(X0,X1),X0)
| aElementOf0(sK10(X0,X1),X1)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f1950,plain,
! [X0] :
( sP0(sdtasasdt0(xI,xJ),X0)
| ~ aElementOf0(sdtpldt0(X0,sK8(sdtasasdt0(xI,xJ),X0)),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK7(sdtasasdt0(xI,xJ),X0),X0),xJ)
| ~ aElementOf0(sdtasdt0(sK7(sdtasasdt0(xI,xJ),X0),X0),xI) ),
inference(resolution,[],[f150,f115]) ).
fof(f1952,plain,
! [X0] :
( sP0(xJ,X0)
| ~ aElementOf0(sdtpldt0(X0,sK8(xJ,X0)),xJ)
| ~ aElementOf0(X0,xJ) ),
inference(subsumption_resolution,[],[f1949,f148]) ).
fof(f1949,plain,
! [X0] :
( sP0(xJ,X0)
| ~ aElementOf0(sdtpldt0(X0,sK8(xJ,X0)),xJ)
| ~ aElement0(sK7(xJ,X0))
| ~ aElementOf0(X0,xJ) ),
inference(resolution,[],[f150,f128]) ).
fof(f1951,plain,
! [X0] :
( sP0(xI,X0)
| ~ aElementOf0(sdtpldt0(X0,sK8(xI,X0)),xI)
| ~ aElementOf0(X0,xI) ),
inference(subsumption_resolution,[],[f1948,f148]) ).
fof(f1948,plain,
! [X0] :
( sP0(xI,X0)
| ~ aElementOf0(sdtpldt0(X0,sK8(xI,X0)),xI)
| ~ aElement0(sK7(xI,X0))
| ~ aElementOf0(X0,xI) ),
inference(resolution,[],[f150,f124]) ).
fof(f150,plain,
! [X0,X1] :
( ~ aElementOf0(sdtasdt0(sK7(X0,X1),X1),X0)
| sP0(X0,X1)
| ~ aElementOf0(sdtpldt0(X1,sK8(X0,X1)),X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ aElementOf0(sdtasdt0(sK7(X0,X1),X1),X0)
& aElement0(sK7(X0,X1)) )
| ( ~ aElementOf0(sdtpldt0(X1,sK8(X0,X1)),X0)
& aElementOf0(sK8(X0,X1),X0) ) )
& ( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f86,f88,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK7(X0,X1),X1),X0)
& aElement0(sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(X1,sK8(X0,X1)),X0)
& aElementOf0(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& ( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1886,plain,
! [X0,X1] :
( aElementOf0(sK14(X0,X1,xJ),X0)
| sP1(X0,X1,xJ)
| ~ aElementOf0(sK12(X0,X1,xJ),xI)
| aElement0(sK12(X0,X1,xJ)) ),
inference(resolution,[],[f165,f360]) ).
fof(f1885,plain,
! [X0,X1] :
( aElementOf0(sK14(X0,X1,sdtasasdt0(xI,xJ)),X0)
| sP1(X0,X1,sdtasasdt0(xI,xJ))
| aElementOf0(sK12(X0,X1,sdtasasdt0(xI,xJ)),xI) ),
inference(resolution,[],[f165,f113]) ).
fof(f1884,plain,
! [X0,X1] :
( aElementOf0(sK14(X0,X1,sdtasasdt0(xI,xJ)),X0)
| sP1(X0,X1,sdtasasdt0(xI,xJ))
| aElementOf0(sK12(X0,X1,sdtasasdt0(xI,xJ)),xJ) ),
inference(resolution,[],[f165,f114]) ).
fof(f1883,plain,
! [X2,X0,X1] :
( aElementOf0(sK14(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| aElement0(sK12(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f165,f133]) ).
fof(f1882,plain,
! [X0,X1] :
( aElementOf0(sK12(xJ,X0,X1),X1)
| sP1(xJ,X0,X1)
| ~ aElementOf0(sK14(xJ,X0,X1),xI)
| aElement0(sK14(xJ,X0,X1)) ),
inference(resolution,[],[f165,f360]) ).
fof(f1881,plain,
! [X0,X1] :
( aElementOf0(sK12(sdtasasdt0(xI,xJ),X0,X1),X1)
| sP1(sdtasasdt0(xI,xJ),X0,X1)
| aElementOf0(sK14(sdtasasdt0(xI,xJ),X0,X1),xI) ),
inference(resolution,[],[f165,f113]) ).
fof(f1880,plain,
! [X0,X1] :
( aElementOf0(sK12(sdtasasdt0(xI,xJ),X0,X1),X1)
| sP1(sdtasasdt0(xI,xJ),X0,X1)
| aElementOf0(sK14(sdtasasdt0(xI,xJ),X0,X1),xJ) ),
inference(resolution,[],[f165,f114]) ).
fof(f1879,plain,
! [X2,X0,X1] :
( aElementOf0(sK12(X0,X1,X2),X2)
| sP1(X0,X1,X2)
| aElement0(sK14(X0,X1,X2))
| ~ aSet0(X0) ),
inference(resolution,[],[f165,f133]) ).
fof(f165,plain,
! [X2,X0,X1] :
( aElementOf0(sK14(X0,X1,X2),X0)
| aElementOf0(sK12(X0,X1,X2),X2)
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f1808,plain,
! [X0,X1] :
( aElementOf0(sK13(X0,X1,xJ),X1)
| sP1(X0,X1,xJ)
| ~ aElementOf0(sK12(X0,X1,xJ),xI)
| aElement0(sK12(X0,X1,xJ)) ),
inference(resolution,[],[f164,f360]) ).
fof(f1807,plain,
! [X0,X1] :
( aElementOf0(sK13(X0,X1,sdtasasdt0(xI,xJ)),X1)
| sP1(X0,X1,sdtasasdt0(xI,xJ))
| aElementOf0(sK12(X0,X1,sdtasasdt0(xI,xJ)),xI) ),
inference(resolution,[],[f164,f113]) ).
fof(f1806,plain,
! [X0,X1] :
( aElementOf0(sK13(X0,X1,sdtasasdt0(xI,xJ)),X1)
| sP1(X0,X1,sdtasasdt0(xI,xJ))
| aElementOf0(sK12(X0,X1,sdtasasdt0(xI,xJ)),xJ) ),
inference(resolution,[],[f164,f114]) ).
fof(f1805,plain,
! [X2,X0,X1] :
( aElementOf0(sK13(X0,X1,X2),X1)
| sP1(X0,X1,X2)
| aElement0(sK12(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f164,f133]) ).
fof(f1804,plain,
! [X0,X1] :
( aElementOf0(sK12(X0,xJ,X1),X1)
| sP1(X0,xJ,X1)
| ~ aElementOf0(sK13(X0,xJ,X1),xI)
| aElement0(sK13(X0,xJ,X1)) ),
inference(resolution,[],[f164,f360]) ).
fof(f1803,plain,
! [X0,X1] :
( aElementOf0(sK12(X0,sdtasasdt0(xI,xJ),X1),X1)
| sP1(X0,sdtasasdt0(xI,xJ),X1)
| aElementOf0(sK13(X0,sdtasasdt0(xI,xJ),X1),xI) ),
inference(resolution,[],[f164,f113]) ).
fof(f1802,plain,
! [X0,X1] :
( aElementOf0(sK12(X0,sdtasasdt0(xI,xJ),X1),X1)
| sP1(X0,sdtasasdt0(xI,xJ),X1)
| aElementOf0(sK13(X0,sdtasasdt0(xI,xJ),X1),xJ) ),
inference(resolution,[],[f164,f114]) ).
fof(f1801,plain,
! [X2,X0,X1] :
( aElementOf0(sK12(X0,X1,X2),X2)
| sP1(X0,X1,X2)
| aElement0(sK13(X0,X1,X2))
| ~ aSet0(X1) ),
inference(resolution,[],[f164,f133]) ).
fof(f164,plain,
! [X2,X0,X1] :
( aElementOf0(sK13(X0,X1,X2),X1)
| aElementOf0(sK12(X0,X1,X2),X2)
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f1758,plain,
! [X2,X3,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X2,X3)
| aElementOf0(sdtpldt0(X2,X0),sdtpldt1(X3,X1))
| ~ aSet0(X1)
| ~ aSet0(X3) ),
inference(resolution,[],[f190,f191]) ).
fof(f190,plain,
! [X2,X10,X0,X1,X9] :
( ~ sP1(X0,X1,X2)
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1)
| aElementOf0(sdtpldt0(X9,X10),X2) ),
inference(equality_resolution,[],[f163]) ).
fof(f163,plain,
! [X2,X10,X0,X1,X8,X9] :
( aElementOf0(X8,X2)
| sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f910,plain,
! [X0] :
( ~ aElementOf0(smndt0(sK4),X0)
| aElementOf0(sz00,X0)
| ~ aIdeal0(X0) ),
inference(resolution,[],[f771,f152]) ).
fof(f1708,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElementOf0(sK9(sdtasasdt0(xI,xJ)),X0)
| ~ aIdeal0(X0) ),
inference(resolution,[],[f782,f152]) ).
fof(f782,plain,
! [X0] :
( ~ sP0(X0,sK9(sdtasasdt0(xI,xJ)))
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f747,f131]) ).
fof(f747,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(X0,sK9(sdtasasdt0(xI,xJ))) ),
inference(superposition,[],[f146,f264]) ).
fof(f185,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X0
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCancel) ).
fof(f767,plain,
! [X0] :
( aElementOf0(sK9(sdtasasdt0(xI,xJ)),X0)
| ~ sP0(X0,sz10) ),
inference(subsumption_resolution,[],[f733,f262]) ).
fof(f733,plain,
! [X0] :
( aElementOf0(sK9(sdtasasdt0(xI,xJ)),X0)
| ~ aElement0(sK9(sdtasasdt0(xI,xJ)))
| ~ sP0(X0,sz10) ),
inference(superposition,[],[f146,f267]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ sP1(X1,X0,X2)
| sdtpldt1(X0,X1) = X2
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP1(X1,X0,X2)
& aSet0(X2) )
| sdtpldt1(X0,X1) != X2 ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP1(X1,X0,X2)
& aSet0(X2) )
| sdtpldt1(X0,X1) != X2 ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( sP1(X1,X0,X2)
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f51,f72]) ).
fof(f51,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
fof(f1539,plain,
! [X0] :
( sP0(sdtasasdt0(xI,xJ),X0)
| aElementOf0(sK8(sdtasasdt0(xI,xJ),X0),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK7(sdtasasdt0(xI,xJ),X0),X0),xJ)
| ~ aElementOf0(sdtasdt0(sK7(sdtasasdt0(xI,xJ),X0),X0),xI) ),
inference(resolution,[],[f149,f115]) ).
fof(f1541,plain,
! [X0] :
( sP0(xJ,X0)
| aElementOf0(sK8(xJ,X0),xJ)
| ~ aElementOf0(X0,xJ) ),
inference(subsumption_resolution,[],[f1538,f147]) ).
fof(f1538,plain,
! [X0] :
( sP0(xJ,X0)
| aElementOf0(sK8(xJ,X0),xJ)
| ~ aElement0(sK7(xJ,X0))
| ~ aElementOf0(X0,xJ) ),
inference(resolution,[],[f149,f128]) ).
fof(f1540,plain,
! [X0] :
( sP0(xI,X0)
| aElementOf0(sK8(xI,X0),xI)
| ~ aElementOf0(X0,xI) ),
inference(subsumption_resolution,[],[f1537,f147]) ).
fof(f1537,plain,
! [X0] :
( sP0(xI,X0)
| aElementOf0(sK8(xI,X0),xI)
| ~ aElement0(sK7(xI,X0))
| ~ aElementOf0(X0,xI) ),
inference(resolution,[],[f149,f124]) ).
fof(f149,plain,
! [X0,X1] :
( ~ aElementOf0(sdtasdt0(sK7(X0,X1),X1),X0)
| sP0(X0,X1)
| aElementOf0(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f1483,plain,
! [X0] :
( sdtasdt0(sK9(X0),sK4) = sdtasdt0(sK4,sK9(X0))
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(resolution,[],[f1189,f256]) ).
fof(f1482,plain,
sdtasdt0(sK9(sdtasasdt0(xI,xJ)),sK4) = sdtasdt0(sK4,sK9(sdtasasdt0(xI,xJ))),
inference(resolution,[],[f1189,f262]) ).
fof(f1476,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK4) = sdtasdt0(sK4,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f1189,f182]) ).
fof(f1475,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sK4) = sdtasdt0(sK4,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f1189,f181]) ).
fof(f1470,plain,
! [X0] :
( sdtasdt0(smndt0(X0),sK4) = sdtasdt0(sK4,smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f1189,f134]) ).
fof(f1189,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sK4) = sdtasdt0(sK4,X0) ),
inference(resolution,[],[f184,f210]) ).
fof(f1442,plain,
! [X0] :
( aElement0(sK7(sdtasasdt0(xI,xJ),X0))
| sP0(sdtasasdt0(xI,xJ),X0)
| ~ aElementOf0(sdtpldt0(X0,sK8(sdtasasdt0(xI,xJ),X0)),xJ)
| ~ aElementOf0(sdtpldt0(X0,sK8(sdtasasdt0(xI,xJ),X0)),xI) ),
inference(resolution,[],[f148,f115]) ).
fof(f1444,plain,
! [X0] :
( aElement0(sK7(xJ,X0))
| sP0(xJ,X0)
| ~ aElementOf0(X0,xJ) ),
inference(subsumption_resolution,[],[f1440,f147]) ).
fof(f1440,plain,
! [X0] :
( aElement0(sK7(xJ,X0))
| sP0(xJ,X0)
| ~ aElementOf0(sK8(xJ,X0),xJ)
| ~ aElementOf0(X0,xJ) ),
inference(resolution,[],[f148,f127]) ).
fof(f1443,plain,
! [X0] :
( aElement0(sK7(xI,X0))
| sP0(xI,X0)
| ~ aElementOf0(X0,xI) ),
inference(subsumption_resolution,[],[f1439,f147]) ).
fof(f1439,plain,
! [X0] :
( aElement0(sK7(xI,X0))
| sP0(xI,X0)
| ~ aElementOf0(sK8(xI,X0),xI)
| ~ aElementOf0(X0,xI) ),
inference(resolution,[],[f148,f123]) ).
fof(f148,plain,
! [X0,X1] :
( ~ aElementOf0(sdtpldt0(X1,sK8(X0,X1)),X0)
| aElement0(sK7(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f1431,plain,
! [X0] :
( aElementOf0(sdtpldt0(sz10,sK4),X0)
| ~ aElementOf0(sz10,X0)
| ~ sP0(X0,sK4) ),
inference(superposition,[],[f145,f1413]) ).
fof(f1413,plain,
sdtpldt0(sz10,sK4) = sdtpldt0(sK4,sz10),
inference(resolution,[],[f1121,f130]) ).
fof(f1427,plain,
! [X0] :
( sdtpldt0(sK9(X0),sK4) = sdtpldt0(sK4,sK9(X0))
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(resolution,[],[f1121,f256]) ).
fof(f1426,plain,
sdtpldt0(sK9(sdtasasdt0(xI,xJ)),sK4) = sdtpldt0(sK4,sK9(sdtasasdt0(xI,xJ))),
inference(resolution,[],[f1121,f262]) ).
fof(f1420,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sK4) = sdtpldt0(sK4,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f1121,f182]) ).
fof(f1419,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK4) = sdtpldt0(sK4,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f1121,f181]) ).
fof(f1414,plain,
! [X0] :
( sdtpldt0(smndt0(X0),sK4) = sdtpldt0(sK4,smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f1121,f134]) ).
fof(f1121,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sK4) = sdtpldt0(sK4,X0) ),
inference(resolution,[],[f183,f210]) ).
fof(f1400,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X0,X2)
| aElementOf0(X0,sdtasasdt0(X2,X1))
| ~ sP3(X2,X1) ),
inference(resolution,[],[f176,f193]) ).
fof(f176,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f1370,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(X1,X2))
| aElementOf0(sK16(X2,X1,X0),X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(resolution,[],[f161,f191]) ).
fof(f161,plain,
! [X2,X0,X1,X8] :
( ~ sP1(X0,X1,X2)
| ~ aElementOf0(X8,X2)
| aElementOf0(sK16(X0,X1,X8),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f1284,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(X1,X2))
| aElementOf0(sK15(X2,X1,X0),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(resolution,[],[f160,f191]) ).
fof(f160,plain,
! [X2,X0,X1,X8] :
( ~ sP1(X0,X1,X2)
| ~ aElementOf0(X8,X2)
| aElementOf0(sK15(X0,X1,X8),X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ sP2(X1,X0,X2)
| sdtasasdt0(X0,X1) = X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtasasdt0(X0,X1) = X2
| ~ sP2(X1,X0,X2) )
& ( sP2(X1,X0,X2)
| sdtasasdt0(X0,X1) != X2 ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> sP2(X1,X0,X2) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f817,plain,
! [X0] :
( ~ aElementOf0(sK4,X0)
| aElementOf0(sz00,X0)
| ~ aIdeal0(X0) ),
inference(resolution,[],[f775,f152]) ).
fof(f815,plain,
! [X0] :
( aElementOf0(sK4,X0)
| ~ aElementOf0(sz10,X0)
| ~ aIdeal0(X0) ),
inference(resolution,[],[f764,f152]) ).
fof(f1229,plain,
! [X0] :
( aElement0(sK7(xJ,X0))
| sP0(xJ,X0)
| ~ aElementOf0(sK8(xJ,X0),xI)
| aElement0(sK8(xJ,X0)) ),
inference(resolution,[],[f147,f360]) ).
fof(f1228,plain,
! [X0] :
( aElement0(sK7(sdtasasdt0(xI,xJ),X0))
| sP0(sdtasasdt0(xI,xJ),X0)
| aElementOf0(sK8(sdtasasdt0(xI,xJ),X0),xI) ),
inference(resolution,[],[f147,f113]) ).
fof(f1227,plain,
! [X0] :
( aElement0(sK7(sdtasasdt0(xI,xJ),X0))
| sP0(sdtasasdt0(xI,xJ),X0)
| aElementOf0(sK8(sdtasasdt0(xI,xJ),X0),xJ) ),
inference(resolution,[],[f147,f114]) ).
fof(f1226,plain,
! [X0,X1] :
( aElement0(sK7(X0,X1))
| sP0(X0,X1)
| aElement0(sK8(X0,X1))
| ~ aSet0(X0) ),
inference(resolution,[],[f147,f133]) ).
fof(f147,plain,
! [X0,X1] :
( aElementOf0(sK8(X0,X1),X0)
| aElement0(sK7(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f1089,plain,
! [X0] :
( ~ sP0(X0,smndt0(sK4))
| aElementOf0(smndt0(sK4),X0) ),
inference(subsumption_resolution,[],[f1062,f771]) ).
fof(f1062,plain,
! [X0] :
( aElementOf0(smndt0(sK4),X0)
| ~ aElementOf0(sz00,X0)
| ~ sP0(X0,smndt0(sK4)) ),
inference(superposition,[],[f145,f416]) ).
fof(f1193,plain,
! [X0,X1] :
( sdtasdt0(X0,sK9(X1)) = sdtasdt0(sK9(X1),X0)
| ~ aElement0(X0)
| ~ aSet0(X1)
| aIdeal0(X1) ),
inference(resolution,[],[f184,f256]) ).
fof(f1192,plain,
! [X0] :
( sdtasdt0(X0,sK9(sdtasasdt0(xI,xJ))) = sdtasdt0(sK9(sdtasasdt0(xI,xJ)),X0)
| ~ aElement0(X0) ),
inference(resolution,[],[f184,f262]) ).
fof(f1187,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f184,f182]) ).
fof(f1186,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f184,f181]) ).
fof(f1181,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f184,f134]) ).
fof(f1180,plain,
! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aElement0(X0) ),
inference(resolution,[],[f184,f130]) ).
fof(f1179,plain,
! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aElement0(X0) ),
inference(resolution,[],[f184,f131]) ).
fof(f184,plain,
! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f1135,plain,
! [X0] :
( aElementOf0(smndt0(sK4),X0)
| ~ aElementOf0(smndt0(sz10),X0)
| ~ aIdeal0(X0) ),
inference(resolution,[],[f774,f152]) ).
fof(f774,plain,
! [X0] :
( ~ sP0(X0,smndt0(sz10))
| aElementOf0(smndt0(sK4),X0) ),
inference(subsumption_resolution,[],[f739,f210]) ).
fof(f739,plain,
! [X0] :
( aElementOf0(smndt0(sK4),X0)
| ~ aElement0(sK4)
| ~ sP0(X0,smndt0(sz10)) ),
inference(superposition,[],[f146,f402]) ).
fof(f1125,plain,
! [X0,X1] :
( sdtpldt0(X0,sK9(X1)) = sdtpldt0(sK9(X1),X0)
| ~ aElement0(X0)
| ~ aSet0(X1)
| aIdeal0(X1) ),
inference(resolution,[],[f183,f256]) ).
fof(f1124,plain,
! [X0] :
( sdtpldt0(X0,sK9(sdtasasdt0(xI,xJ))) = sdtpldt0(sK9(sdtasasdt0(xI,xJ)),X0)
| ~ aElement0(X0) ),
inference(resolution,[],[f183,f262]) ).
fof(f1119,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f183,f182]) ).
fof(f1118,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(resolution,[],[f183,f181]) ).
fof(f1114,plain,
! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f183,f134]) ).
fof(f1113,plain,
! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aElement0(X0) ),
inference(resolution,[],[f183,f130]) ).
fof(f1112,plain,
! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aElement0(X0) ),
inference(resolution,[],[f183,f131]) ).
fof(f183,plain,
! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f1093,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ sP0(X0,smndt0(sz10)) ),
inference(global_subsumption,[],[f150,f149,f148,f147,f159,f158,f157,f156,f167,f166,f165,f164,f190,f162,f161,f160,f170,f172,f179,f178,f177,f176,f183,f184,f185,f186,f187,f189,f188,f122,f125,f126,f129,f130,f131,f132,f112,f121,f116,f151,f134,f117,f173,f113,f205,f114,f206,f133,f211,f212,f210,f135,f216,f213,f214,f136,f221,f219,f137,f226,f138,f228,f231,f223,f224,f229,f139,f235,f236,f234,f140,f240,f180,f241,f141,f245,f246,f243,f244,f142,f250,f251,f248,f152,f249,f153,f258,f262,f269,f270,f260,f263,f264,f256,f272,f273,f274,f275,f276,f277,f278,f279,f154,f155,f181,f282,f283,f284,f285,f286,f287,f288,f289,f182,f306,f307,f308,f309,f310,f311,f312,f313,f192,f215,f332,f333,f334,f338,f335,f330,f331,f337,f220,f346,f347,f348,f352,f349,f344,f115,f345,f360,f351,f281,f265,f266,f267,f268,f143,f381,f382,f383,f386,f387,f388,f384,f380,f144,f399,f400,f401,f404,f405,f402,f398,f193,f410,f225,f413,f414,f415,f418,f419,f416,f412,f230,f437,f438,f439,f442,f443,f440,f436,f124,f485,f486,f462,f490,f493,f494,f498,f128,f539,f576,f577,f582,f583,f585,f586,f596,f119,f491,f502,f497,f590,f553,f589,f118,f146,f712,f713,f714,f715,f749,f750,f752,f722,f756,f757,f760,f767,f769,f770,f772,f773,f774,f782,f783,f174,f813,f764,f815,f775,f817,f776,f175,f820,f191,f120,f771,f910,f123,f961,f127,f1004,f1036,f761,f1041,f762,f145,f1053,f1055,f1056,f1057,f1061,f1088,f1089,f1068,f1092,f1070]) ).
fof(f1070,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElementOf0(sz10,X0)
| ~ sP0(X0,smndt0(sz10)) ),
inference(superposition,[],[f145,f249]) ).
fof(f1092,plain,
! [X0] :
( aElementOf0(sK9(sdtasasdt0(xI,xJ)),X0)
| ~ sP0(X0,sK9(sdtasasdt0(xI,xJ))) ),
inference(global_subsumption,[],[f150,f149,f148,f147,f159,f158,f157,f156,f167,f166,f165,f164,f190,f162,f161,f160,f170,f172,f179,f178,f177,f176,f183,f184,f185,f186,f187,f189,f188,f122,f125,f126,f129,f130,f131,f132,f112,f121,f116,f151,f134,f117,f173,f113,f205,f114,f206,f133,f211,f212,f210,f135,f216,f213,f214,f136,f221,f219,f137,f226,f138,f228,f231,f223,f224,f229,f139,f235,f236,f234,f140,f240,f180,f241,f141,f245,f246,f243,f244,f142,f250,f251,f248,f152,f249,f153,f258,f262,f269,f270,f260,f263,f264,f256,f272,f273,f274,f275,f276,f277,f278,f279,f154,f155,f181,f282,f283,f284,f285,f286,f287,f288,f289,f182,f306,f307,f308,f309,f310,f311,f312,f313,f192,f215,f332,f333,f334,f338,f335,f330,f331,f337,f220,f346,f347,f348,f352,f349,f344,f115,f345,f360,f351,f281,f265,f266,f267,f268,f143,f381,f382,f383,f386,f387,f388,f384,f380,f144,f399,f400,f401,f404,f405,f402,f398,f193,f410,f225,f413,f414,f415,f418,f419,f416,f412,f230,f437,f438,f439,f442,f443,f440,f436,f124,f485,f486,f462,f490,f493,f494,f498,f128,f539,f576,f577,f582,f583,f585,f586,f596,f119,f491,f502,f497,f590,f553,f589,f118,f146,f712,f713,f714,f715,f749,f750,f752,f722,f756,f757,f760,f767,f769,f770,f772,f773,f774,f782,f783,f174,f813,f764,f815,f775,f817,f776,f175,f820,f191,f120,f771,f910,f123,f961,f127,f1004,f1036,f761,f1041,f762,f145,f1053,f1055,f1056,f1057,f1061,f1088,f1089,f1068]) ).
fof(f1068,plain,
! [X0] :
( aElementOf0(sK9(sdtasasdt0(xI,xJ)),X0)
| ~ aElementOf0(sz00,X0)
| ~ sP0(X0,sK9(sdtasasdt0(xI,xJ))) ),
inference(superposition,[],[f145,f265]) ).
fof(f1088,plain,
! [X0] :
( aElementOf0(smndt0(sz10),X0)
| ~ sP0(X0,smndt0(sz10)) ),
inference(global_subsumption,[],[f150,f149,f148,f147,f159,f158,f157,f156,f167,f166,f165,f164,f190,f162,f161,f160,f170,f172,f179,f178,f177,f176,f183,f184,f185,f186,f187,f189,f188,f122,f125,f126,f129,f130,f131,f132,f112,f121,f116,f151,f134,f117,f173,f113,f205,f114,f206,f133,f211,f212,f210,f135,f216,f213,f214,f136,f221,f219,f137,f226,f138,f228,f231,f223,f224,f229,f139,f235,f236,f234,f140,f240,f180,f241,f141,f245,f246,f243,f244,f142,f250,f251,f248,f152,f249,f153,f258,f262,f269,f270,f260,f263,f264,f256,f272,f273,f274,f275,f276,f277,f278,f279,f154,f155,f181,f282,f283,f284,f285,f286,f287,f288,f289,f182,f306,f307,f308,f309,f310,f311,f312,f313,f192,f215,f332,f333,f334,f338,f335,f330,f331,f337,f220,f346,f347,f348,f352,f349,f344,f115,f345,f360,f351,f281,f265,f266,f267,f268,f143,f381,f382,f383,f386,f387,f388,f384,f380,f144,f399,f400,f401,f404,f405,f402,f398,f193,f410,f225,f413,f414,f415,f418,f419,f416,f412,f230,f437,f438,f439,f442,f443,f440,f436,f124,f485,f486,f462,f490,f493,f494,f498,f128,f539,f576,f577,f582,f583,f585,f586,f596,f119,f491,f502,f497,f590,f553,f589,f118,f146,f712,f713,f714,f715,f749,f750,f752,f722,f756,f757,f760,f767,f769,f770,f772,f773,f774,f782,f783,f174,f813,f764,f815,f775,f817,f776,f175,f820,f191,f120,f771,f910,f123,f961,f127,f1004,f1036,f761,f1041,f762,f145,f1053,f1055,f1056,f1057,f1061]) ).
fof(f1061,plain,
! [X0] :
( aElementOf0(smndt0(sz10),X0)
| ~ aElementOf0(sz00,X0)
| ~ sP0(X0,smndt0(sz10)) ),
inference(superposition,[],[f145,f412]) ).
fof(f1057,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xJ)
| ~ sP0(xJ,X1)
| ~ aElementOf0(sdtpldt0(X1,X0),xI)
| aElement0(sdtpldt0(X1,X0)) ),
inference(resolution,[],[f145,f360]) ).
fof(f1056,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ sP0(sdtasasdt0(xI,xJ),X1)
| aElementOf0(sdtpldt0(X1,X0),xI) ),
inference(resolution,[],[f145,f113]) ).
fof(f1055,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ sP0(sdtasasdt0(xI,xJ),X1)
| aElementOf0(sdtpldt0(X1,X0),xJ) ),
inference(resolution,[],[f145,f114]) ).
fof(f1053,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ sP0(X1,X2)
| aElement0(sdtpldt0(X2,X0))
| ~ aSet0(X1) ),
inference(resolution,[],[f145,f133]) ).
fof(f145,plain,
! [X0,X1,X5] :
( aElementOf0(sdtpldt0(X1,X5),X0)
| ~ aElementOf0(X5,X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f762,plain,
! [X0] :
( ~ sP0(X0,sz10)
| aElementOf0(sz10,X0) ),
inference(subsumption_resolution,[],[f728,f130]) ).
fof(f728,plain,
! [X0] :
( aElementOf0(sz10,X0)
| ~ aElement0(sz10)
| ~ sP0(X0,sz10) ),
inference(superposition,[],[f146,f234]) ).
fof(f1041,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElementOf0(sz10,X0)
| ~ aIdeal0(X0) ),
inference(resolution,[],[f761,f152]) ).
fof(f761,plain,
! [X0] :
( ~ sP0(X0,sz10)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f727,f131]) ).
fof(f727,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(X0,sz10) ),
inference(superposition,[],[f146,f219]) ).
fof(f1036,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X1,xJ)
| aElement0(sdtpldt0(X1,X0)) ),
inference(subsumption_resolution,[],[f1005,f126]) ).
fof(f1005,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X1,xJ)
| aElement0(sdtpldt0(X1,X0))
| ~ aSet0(xJ) ),
inference(resolution,[],[f127,f133]) ).
fof(f1004,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(sdtpldt0(X1,X0),xI)
| aElement0(sdtpldt0(X1,X0)) ),
inference(resolution,[],[f127,f360]) ).
fof(f127,plain,
! [X2,X0] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X0,xJ) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( aIdeal0(xJ)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1) )
& ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ) ) )
| ~ aElementOf0(X0,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI) ) )
| ~ aElementOf0(X3,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,xI)
=> ( ! [X4] :
( aElement0(X4)
=> aElementOf0(sdtasdt0(X4,X3),xI) )
& ! [X5] :
( aElementOf0(X5,xI)
=> aElementOf0(sdtpldt0(X3,X5),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1150) ).
fof(f961,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xI)
| aElement0(sdtpldt0(X1,X0)) ),
inference(subsumption_resolution,[],[f930,f122]) ).
fof(f930,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xI)
| aElement0(sdtpldt0(X1,X0))
| ~ aSet0(xI) ),
inference(resolution,[],[f123,f133]) ).
fof(f123,plain,
! [X3,X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI)
| ~ aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f37]) ).
fof(f771,plain,
! [X0] :
( ~ sP0(X0,smndt0(sK4))
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f736,f131]) ).
fof(f736,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(X0,smndt0(sK4)) ),
inference(superposition,[],[f146,f349]) ).
fof(f120,plain,
( ~ aElementOf0(sdtasdt0(sK5,sK4),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK4,sK6),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f191,plain,
! [X0,X1] :
( sP1(X1,X0,sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| sdtpldt1(X0,X1) != X2
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f820,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtasasdt0(X1,X2))
| aElementOf0(X0,X2)
| ~ sP3(X1,X2) ),
inference(resolution,[],[f175,f193]) ).
fof(f175,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f776,plain,
! [X0] :
( ~ sP0(X0,sK4)
| aElementOf0(sK4,X0) ),
inference(subsumption_resolution,[],[f741,f130]) ).
fof(f741,plain,
! [X0] :
( aElementOf0(sK4,X0)
| ~ aElement0(sz10)
| ~ sP0(X0,sK4) ),
inference(superposition,[],[f146,f241]) ).
fof(f775,plain,
! [X0] :
( ~ sP0(X0,sK4)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f740,f131]) ).
fof(f740,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(X0,sK4) ),
inference(superposition,[],[f146,f221]) ).
fof(f764,plain,
! [X0] :
( ~ sP0(X0,sz10)
| aElementOf0(sK4,X0) ),
inference(subsumption_resolution,[],[f730,f210]) ).
fof(f730,plain,
! [X0] :
( aElementOf0(sK4,X0)
| ~ aElement0(sK4)
| ~ sP0(X0,sz10) ),
inference(superposition,[],[f146,f236]) ).
fof(f813,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtasasdt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP3(X1,X2) ),
inference(resolution,[],[f174,f193]) ).
fof(f174,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f783,plain,
! [X0] :
( aElementOf0(sK9(sdtasasdt0(xI,xJ)),X0)
| ~ sP0(X0,sK9(sdtasasdt0(xI,xJ))) ),
inference(subsumption_resolution,[],[f748,f130]) ).
fof(f748,plain,
! [X0] :
( aElementOf0(sK9(sdtasasdt0(xI,xJ)),X0)
| ~ aElement0(sz10)
| ~ sP0(X0,sK9(sdtasasdt0(xI,xJ))) ),
inference(superposition,[],[f146,f268]) ).
fof(f773,plain,
! [X0] :
( aElementOf0(smndt0(sz10),X0)
| ~ sP0(X0,smndt0(sz10)) ),
inference(subsumption_resolution,[],[f738,f130]) ).
fof(f738,plain,
! [X0] :
( aElementOf0(smndt0(sz10),X0)
| ~ aElement0(sz10)
| ~ sP0(X0,smndt0(sz10)) ),
inference(superposition,[],[f146,f398]) ).
fof(f772,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ sP0(X0,smndt0(sK9(sdtasasdt0(xI,xJ)))) ),
inference(subsumption_resolution,[],[f737,f131]) ).
fof(f737,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(X0,smndt0(sK9(sdtasasdt0(xI,xJ)))) ),
inference(superposition,[],[f146,f351]) ).
fof(f770,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ sP0(X0,smndt0(sz10)) ),
inference(subsumption_resolution,[],[f735,f131]) ).
fof(f735,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(X0,smndt0(sz10)) ),
inference(superposition,[],[f146,f345]) ).
fof(f722,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(smndt0(sK9(sdtasasdt0(xI,xJ))))
| ~ sP0(X0,sz00) ),
inference(superposition,[],[f146,f337]) ).
fof(f715,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ sP0(xJ,X1)
| ~ aElementOf0(sdtasdt0(X0,X1),xI)
| aElement0(sdtasdt0(X0,X1)) ),
inference(resolution,[],[f146,f360]) ).
fof(f714,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ sP0(sdtasasdt0(xI,xJ),X1)
| aElementOf0(sdtasdt0(X0,X1),xI) ),
inference(resolution,[],[f146,f113]) ).
fof(f713,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ sP0(sdtasasdt0(xI,xJ),X1)
| aElementOf0(sdtasdt0(X0,X1),xJ) ),
inference(resolution,[],[f146,f114]) ).
fof(f712,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sP0(X1,X2)
| aElement0(sdtasdt0(X0,X2))
| ~ aSet0(X1) ),
inference(resolution,[],[f146,f133]) ).
fof(f146,plain,
! [X0,X1,X4] :
( aElementOf0(sdtasdt0(X4,X1),X0)
| ~ aElement0(X4)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f589,plain,
aElementOf0(sz00,xJ),
inference(subsumption_resolution,[],[f588,f206]) ).
fof(f588,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(sK4,xJ) ),
inference(subsumption_resolution,[],[f565,f131]) ).
fof(f565,plain,
( aElementOf0(sz00,xJ)
| ~ aElement0(sz00)
| ~ aElementOf0(sK4,xJ) ),
inference(superposition,[],[f128,f221]) ).
fof(f553,plain,
( aElementOf0(smndt0(sz10),xJ)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[],[f128,f380]) ).
fof(f590,plain,
( aElementOf0(smndt0(sK4),xJ)
| ~ aElement0(smndt0(sz10)) ),
inference(subsumption_resolution,[],[f567,f206]) ).
fof(f567,plain,
( aElementOf0(smndt0(sK4),xJ)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK4,xJ) ),
inference(superposition,[],[f128,f384]) ).
fof(f497,plain,
aElementOf0(sz00,xI),
inference(subsumption_resolution,[],[f496,f205]) ).
fof(f496,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sK4,xI) ),
inference(subsumption_resolution,[],[f474,f131]) ).
fof(f474,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(sK4,xI) ),
inference(superposition,[],[f124,f221]) ).
fof(f502,plain,
aElementOf0(sz00,xI),
inference(subsumption_resolution,[],[f501,f260]) ).
fof(f501,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sK9(sdtasasdt0(xI,xJ)),xI) ),
inference(subsumption_resolution,[],[f480,f131]) ).
fof(f480,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(sK9(sdtasasdt0(xI,xJ)),xI) ),
inference(superposition,[],[f124,f264]) ).
fof(f491,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(sK4),xI) ),
inference(subsumption_resolution,[],[f468,f131]) ).
fof(f468,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(smndt0(sK4),xI) ),
inference(superposition,[],[f124,f349]) ).
fof(f119,plain,
( ~ aElementOf0(sdtasdt0(sK5,sK4),sdtasasdt0(xI,xJ))
| aElementOf0(sK6,sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f596,plain,
aElementOf0(sz00,xJ),
inference(subsumption_resolution,[],[f595,f258]) ).
fof(f595,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(sK9(sdtasasdt0(xI,xJ)),xJ) ),
inference(subsumption_resolution,[],[f571,f131]) ).
fof(f571,plain,
( aElementOf0(sz00,xJ)
| ~ aElement0(sz00)
| ~ aElementOf0(sK9(sdtasasdt0(xI,xJ)),xJ) ),
inference(superposition,[],[f128,f264]) ).
fof(f586,plain,
( aElementOf0(smndt0(sK4),xJ)
| ~ aElementOf0(smndt0(sz10),xJ) ),
inference(subsumption_resolution,[],[f563,f210]) ).
fof(f563,plain,
( aElementOf0(smndt0(sK4),xJ)
| ~ aElement0(sK4)
| ~ aElementOf0(smndt0(sz10),xJ) ),
inference(superposition,[],[f128,f402]) ).
fof(f585,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(sK9(sdtasasdt0(xI,xJ))),xJ) ),
inference(subsumption_resolution,[],[f561,f131]) ).
fof(f561,plain,
( aElementOf0(sz00,xJ)
| ~ aElement0(sz00)
| ~ aElementOf0(smndt0(sK9(sdtasasdt0(xI,xJ))),xJ) ),
inference(superposition,[],[f128,f351]) ).
fof(f583,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(sK4),xJ) ),
inference(subsumption_resolution,[],[f559,f131]) ).
fof(f559,plain,
( aElementOf0(sz00,xJ)
| ~ aElement0(sz00)
| ~ aElementOf0(smndt0(sK4),xJ) ),
inference(superposition,[],[f128,f349]) ).
fof(f582,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(sz10),xJ) ),
inference(subsumption_resolution,[],[f558,f131]) ).
fof(f558,plain,
( aElementOf0(sz00,xJ)
| ~ aElement0(sz00)
| ~ aElementOf0(smndt0(sz10),xJ) ),
inference(superposition,[],[f128,f345]) ).
fof(f577,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(subsumption_resolution,[],[f551,f131]) ).
fof(f551,plain,
( aElementOf0(sz00,xJ)
| ~ aElement0(sz00)
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[],[f128,f219]) ).
fof(f576,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,xJ)
| aElement0(sdtasdt0(X0,X1)) ),
inference(subsumption_resolution,[],[f540,f126]) ).
fof(f540,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,xJ)
| aElement0(sdtasdt0(X0,X1))
| ~ aSet0(xJ) ),
inference(resolution,[],[f128,f133]) ).
fof(f539,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(sdtasdt0(X0,X1),xI)
| aElement0(sdtasdt0(X0,X1)) ),
inference(resolution,[],[f128,f360]) ).
fof(f128,plain,
! [X0,X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xJ) ),
inference(cnf_transformation,[],[f37]) ).
fof(f498,plain,
( aElementOf0(smndt0(sK4),xI)
| ~ aElement0(smndt0(sz10)) ),
inference(subsumption_resolution,[],[f476,f205]) ).
fof(f476,plain,
( aElementOf0(smndt0(sK4),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK4,xI) ),
inference(superposition,[],[f124,f384]) ).
fof(f494,plain,
( aElementOf0(smndt0(sK4),xI)
| ~ aElementOf0(smndt0(sz10),xI) ),
inference(subsumption_resolution,[],[f472,f210]) ).
fof(f472,plain,
( aElementOf0(smndt0(sK4),xI)
| ~ aElement0(sK4)
| ~ aElementOf0(smndt0(sz10),xI) ),
inference(superposition,[],[f124,f402]) ).
fof(f493,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(sK9(sdtasasdt0(xI,xJ))),xI) ),
inference(subsumption_resolution,[],[f470,f131]) ).
fof(f470,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(smndt0(sK9(sdtasasdt0(xI,xJ))),xI) ),
inference(superposition,[],[f124,f351]) ).
fof(f490,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(sz10),xI) ),
inference(subsumption_resolution,[],[f467,f131]) ).
fof(f467,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(smndt0(sz10),xI) ),
inference(superposition,[],[f124,f345]) ).
fof(f462,plain,
( aElementOf0(smndt0(sz10),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[],[f124,f380]) ).
fof(f486,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sz10,xI) ),
inference(subsumption_resolution,[],[f460,f131]) ).
fof(f460,plain,
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[],[f124,f219]) ).
fof(f485,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,xI)
| aElement0(sdtasdt0(X0,X1)) ),
inference(subsumption_resolution,[],[f449,f122]) ).
fof(f449,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,xI)
| aElement0(sdtasdt0(X0,X1))
| ~ aSet0(xI) ),
inference(resolution,[],[f124,f133]) ).
fof(f124,plain,
! [X3,X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4)
| ~ aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f37]) ).
fof(f436,plain,
smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10)),
inference(resolution,[],[f230,f130]) ).
fof(f440,plain,
smndt0(sK4) = sdtpldt0(sz00,smndt0(sK4)),
inference(resolution,[],[f230,f210]) ).
fof(f443,plain,
! [X0] :
( smndt0(sK9(X0)) = sdtpldt0(sz00,smndt0(sK9(X0)))
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(resolution,[],[f230,f256]) ).
fof(f442,plain,
smndt0(sK9(sdtasasdt0(xI,xJ))) = sdtpldt0(sz00,smndt0(sK9(sdtasasdt0(xI,xJ)))),
inference(resolution,[],[f230,f262]) ).
fof(f439,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f230,f182]) ).
fof(f438,plain,
! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f230,f181]) ).
fof(f437,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aElement0(X0) ),
inference(resolution,[],[f230,f134]) ).
fof(f230,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtpldt0(sz00,smndt0(X0)) ),
inference(resolution,[],[f138,f134]) ).
fof(f412,plain,
smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00),
inference(resolution,[],[f225,f130]) ).
fof(f416,plain,
smndt0(sK4) = sdtpldt0(smndt0(sK4),sz00),
inference(resolution,[],[f225,f210]) ).
fof(f419,plain,
! [X0] :
( smndt0(sK9(X0)) = sdtpldt0(smndt0(sK9(X0)),sz00)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(resolution,[],[f225,f256]) ).
fof(f418,plain,
smndt0(sK9(sdtasasdt0(xI,xJ))) = sdtpldt0(smndt0(sK9(sdtasasdt0(xI,xJ))),sz00),
inference(resolution,[],[f225,f262]) ).
fof(f415,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f225,f182]) ).
fof(f414,plain,
! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f225,f181]) ).
fof(f413,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00)
| ~ aElement0(X0) ),
inference(resolution,[],[f225,f134]) ).
fof(f225,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz00) ),
inference(resolution,[],[f137,f134]) ).
fof(f410,plain,
! [X0,X1] :
( aSet0(sdtasasdt0(X0,X1))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f193,f173]) ).
fof(f193,plain,
! [X0,X1] :
( sP2(X1,X0,sdtasasdt0(X0,X1))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f171]) ).
fof(f171,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtasasdt0(X0,X1) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f398,plain,
smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)),
inference(resolution,[],[f144,f130]) ).
fof(f402,plain,
smndt0(sK4) = sdtasdt0(sK4,smndt0(sz10)),
inference(resolution,[],[f144,f210]) ).
fof(f405,plain,
! [X0] :
( smndt0(sK9(X0)) = sdtasdt0(sK9(X0),smndt0(sz10))
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(resolution,[],[f144,f256]) ).
fof(f404,plain,
smndt0(sK9(sdtasasdt0(xI,xJ))) = sdtasdt0(sK9(sdtasasdt0(xI,xJ)),smndt0(sz10)),
inference(resolution,[],[f144,f262]) ).
fof(f401,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f144,f182]) ).
fof(f400,plain,
! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f144,f181]) ).
fof(f399,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aElement0(X0) ),
inference(resolution,[],[f144,f134]) ).
fof(f144,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f380,plain,
smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10),
inference(resolution,[],[f143,f130]) ).
fof(f384,plain,
smndt0(sK4) = sdtasdt0(smndt0(sz10),sK4),
inference(resolution,[],[f143,f210]) ).
fof(f388,plain,
sz00 = smndt0(sz00),
inference(forward_demodulation,[],[f379,f331]) ).
fof(f379,plain,
smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00),
inference(resolution,[],[f143,f131]) ).
fof(f387,plain,
! [X0] :
( smndt0(sK9(X0)) = sdtasdt0(smndt0(sz10),sK9(X0))
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(resolution,[],[f143,f256]) ).
fof(f386,plain,
smndt0(sK9(sdtasasdt0(xI,xJ))) = sdtasdt0(smndt0(sz10),sK9(sdtasasdt0(xI,xJ))),
inference(resolution,[],[f143,f262]) ).
fof(f383,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f143,f182]) ).
fof(f382,plain,
! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f143,f181]) ).
fof(f381,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f143,f134]) ).
fof(f143,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f268,plain,
sK9(sdtasasdt0(xI,xJ)) = sdtasdt0(sz10,sK9(sdtasasdt0(xI,xJ))),
inference(resolution,[],[f262,f140]) ).
fof(f267,plain,
sK9(sdtasasdt0(xI,xJ)) = sdtasdt0(sK9(sdtasasdt0(xI,xJ)),sz10),
inference(resolution,[],[f262,f139]) ).
fof(f266,plain,
sK9(sdtasasdt0(xI,xJ)) = sdtpldt0(sz00,sK9(sdtasasdt0(xI,xJ))),
inference(resolution,[],[f262,f138]) ).
fof(f265,plain,
sK9(sdtasasdt0(xI,xJ)) = sdtpldt0(sK9(sdtasasdt0(xI,xJ)),sz00),
inference(resolution,[],[f262,f137]) ).
fof(f281,plain,
! [X0,X1] :
( aSet0(sdtpldt1(X1,X0))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(resolution,[],[f155,f151]) ).
fof(f351,plain,
sz00 = sdtasdt0(sz00,smndt0(sK9(sdtasasdt0(xI,xJ)))),
inference(resolution,[],[f220,f262]) ).
fof(f360,plain,
! [X0] :
( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X0,xI)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f359,f112]) ).
fof(f359,plain,
! [X0] :
( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X0,xI)
| aElement0(X0)
| ~ aSet0(sdtasasdt0(xI,xJ)) ),
inference(resolution,[],[f115,f133]) ).
fof(f345,plain,
sz00 = sdtasdt0(sz00,smndt0(sz10)),
inference(resolution,[],[f220,f130]) ).
fof(f115,plain,
! [X3] :
( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f83]) ).
fof(f344,plain,
sz00 = sdtasdt0(sz00,smndt0(sz00)),
inference(resolution,[],[f220,f131]) ).
fof(f349,plain,
sz00 = sdtasdt0(sz00,smndt0(sK4)),
inference(resolution,[],[f220,f210]) ).
fof(f352,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(sK9(X0)))
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(resolution,[],[f220,f256]) ).
fof(f348,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f220,f182]) ).
fof(f347,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f220,f181]) ).
fof(f346,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,smndt0(smndt0(X0)))
| ~ aElement0(X0) ),
inference(resolution,[],[f220,f134]) ).
fof(f220,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,smndt0(X0)) ),
inference(resolution,[],[f136,f134]) ).
fof(f337,plain,
sz00 = sdtasdt0(smndt0(sK9(sdtasasdt0(xI,xJ))),sz00),
inference(resolution,[],[f215,f262]) ).
fof(f331,plain,
sz00 = sdtasdt0(smndt0(sz10),sz00),
inference(resolution,[],[f215,f130]) ).
fof(f330,plain,
sz00 = sdtasdt0(smndt0(sz00),sz00),
inference(resolution,[],[f215,f131]) ).
fof(f335,plain,
sz00 = sdtasdt0(smndt0(sK4),sz00),
inference(resolution,[],[f215,f210]) ).
fof(f338,plain,
! [X0] :
( sz00 = sdtasdt0(smndt0(sK9(X0)),sz00)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(resolution,[],[f215,f256]) ).
fof(f334,plain,
! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f215,f182]) ).
fof(f333,plain,
! [X0,X1] :
( sz00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f215,f181]) ).
fof(f332,plain,
! [X0] :
( sz00 = sdtasdt0(smndt0(smndt0(X0)),sz00)
| ~ aElement0(X0) ),
inference(resolution,[],[f215,f134]) ).
fof(f215,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(smndt0(X0),sz00) ),
inference(resolution,[],[f135,f134]) ).
fof(f192,plain,
! [X0,X1] :
( aSet0(sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f168]) ).
fof(f168,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt1(X0,X1) != X2
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f313,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) ),
inference(resolution,[],[f182,f142]) ).
fof(f312,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) ),
inference(resolution,[],[f182,f141]) ).
fof(f311,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f182,f140]) ).
fof(f310,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ),
inference(resolution,[],[f182,f139]) ).
fof(f309,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f182,f138]) ).
fof(f308,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ),
inference(resolution,[],[f182,f137]) ).
fof(f307,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f182,f136]) ).
fof(f306,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ),
inference(resolution,[],[f182,f135]) ).
fof(f182,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f289,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) ),
inference(resolution,[],[f181,f142]) ).
fof(f288,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) ),
inference(resolution,[],[f181,f141]) ).
fof(f287,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f181,f140]) ).
fof(f286,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ),
inference(resolution,[],[f181,f139]) ).
fof(f285,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f181,f138]) ).
fof(f284,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ),
inference(resolution,[],[f181,f137]) ).
fof(f283,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f181,f136]) ).
fof(f282,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ),
inference(resolution,[],[f181,f135]) ).
fof(f181,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f155,plain,
! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> aIdeal0(sdtpldt1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIdeSum) ).
fof(f154,plain,
! [X0] :
( ~ sP0(X0,sK9(X0))
| aIdeal0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ~ sP0(X0,sK9(X0))
& aElementOf0(sK9(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP0(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f92,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( ~ sP0(X0,X1)
& aElementOf0(X1,X0) )
=> ( ~ sP0(X0,sK9(X0))
& aElementOf0(sK9(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP0(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP0(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP0(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP0(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP0(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP0(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( sP0(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(definition_folding,[],[f45,f70]) ).
fof(f45,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f279,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| sz00 = sdtpldt0(smndt0(sK9(X0)),sK9(X0)) ),
inference(resolution,[],[f256,f142]) ).
fof(f278,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| sz00 = sdtpldt0(sK9(X0),smndt0(sK9(X0))) ),
inference(resolution,[],[f256,f141]) ).
fof(f277,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| sK9(X0) = sdtasdt0(sz10,sK9(X0)) ),
inference(resolution,[],[f256,f140]) ).
fof(f276,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| sK9(X0) = sdtasdt0(sK9(X0),sz10) ),
inference(resolution,[],[f256,f139]) ).
fof(f275,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| sK9(X0) = sdtpldt0(sz00,sK9(X0)) ),
inference(resolution,[],[f256,f138]) ).
fof(f274,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| sK9(X0) = sdtpldt0(sK9(X0),sz00) ),
inference(resolution,[],[f256,f137]) ).
fof(f273,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| sz00 = sdtasdt0(sz00,sK9(X0)) ),
inference(resolution,[],[f256,f136]) ).
fof(f272,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| sz00 = sdtasdt0(sK9(X0),sz00) ),
inference(resolution,[],[f256,f135]) ).
fof(f256,plain,
! [X0] :
( aElement0(sK9(X0))
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f255,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElement0(sK9(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f153,f133]) ).
fof(f264,plain,
sz00 = sdtasdt0(sz00,sK9(sdtasasdt0(xI,xJ))),
inference(resolution,[],[f262,f136]) ).
fof(f263,plain,
sz00 = sdtasdt0(sK9(sdtasasdt0(xI,xJ)),sz00),
inference(resolution,[],[f262,f135]) ).
fof(f260,plain,
aElementOf0(sK9(sdtasasdt0(xI,xJ)),xI),
inference(subsumption_resolution,[],[f259,f112]) ).
fof(f259,plain,
( ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK9(sdtasasdt0(xI,xJ)),xI) ),
inference(subsumption_resolution,[],[f254,f121]) ).
fof(f254,plain,
( aIdeal0(sdtasasdt0(xI,xJ))
| ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK9(sdtasasdt0(xI,xJ)),xI) ),
inference(resolution,[],[f153,f113]) ).
fof(f270,plain,
sz00 = sdtpldt0(smndt0(sK9(sdtasasdt0(xI,xJ))),sK9(sdtasasdt0(xI,xJ))),
inference(resolution,[],[f262,f142]) ).
fof(f269,plain,
sz00 = sdtpldt0(sK9(sdtasasdt0(xI,xJ)),smndt0(sK9(sdtasasdt0(xI,xJ)))),
inference(resolution,[],[f262,f141]) ).
fof(f262,plain,
aElement0(sK9(sdtasasdt0(xI,xJ))),
inference(subsumption_resolution,[],[f261,f126]) ).
fof(f261,plain,
( aElement0(sK9(sdtasasdt0(xI,xJ)))
| ~ aSet0(xJ) ),
inference(resolution,[],[f258,f133]) ).
fof(f258,plain,
aElementOf0(sK9(sdtasasdt0(xI,xJ)),xJ),
inference(subsumption_resolution,[],[f257,f112]) ).
fof(f257,plain,
( ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK9(sdtasasdt0(xI,xJ)),xJ) ),
inference(subsumption_resolution,[],[f253,f121]) ).
fof(f253,plain,
( aIdeal0(sdtasasdt0(xI,xJ))
| ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK9(sdtasasdt0(xI,xJ)),xJ) ),
inference(resolution,[],[f153,f114]) ).
fof(f153,plain,
! [X0] :
( aElementOf0(sK9(X0),X0)
| aIdeal0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f249,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference(resolution,[],[f142,f130]) ).
fof(f152,plain,
! [X2,X0] :
( sP0(X0,X2)
| ~ aElementOf0(X2,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f248,plain,
sz00 = sdtpldt0(smndt0(sz00),sz00),
inference(resolution,[],[f142,f131]) ).
fof(f251,plain,
sz00 = sdtpldt0(smndt0(sK4),sK4),
inference(resolution,[],[f142,f210]) ).
fof(f250,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f142,f134]) ).
fof(f142,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(f244,plain,
sz00 = sdtpldt0(sz10,smndt0(sz10)),
inference(resolution,[],[f141,f130]) ).
fof(f243,plain,
sz00 = sdtpldt0(sz00,smndt0(sz00)),
inference(resolution,[],[f141,f131]) ).
fof(f246,plain,
sz00 = sdtpldt0(sK4,smndt0(sK4)),
inference(resolution,[],[f141,f210]) ).
fof(f245,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aElement0(X0) ),
inference(resolution,[],[f141,f134]) ).
fof(f141,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f241,plain,
sK4 = sdtasdt0(sz10,sK4),
inference(resolution,[],[f140,f210]) ).
fof(f180,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f53,f75,f74]) ).
fof(f53,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtasasdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSInt) ).
fof(f240,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f140,f134]) ).
fof(f140,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(f234,plain,
sz10 = sdtasdt0(sz10,sz10),
inference(resolution,[],[f139,f130]) ).
fof(f236,plain,
sK4 = sdtasdt0(sK4,sz10),
inference(resolution,[],[f139,f210]) ).
fof(f235,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aElement0(X0) ),
inference(resolution,[],[f139,f134]) ).
fof(f139,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f42]) ).
fof(f229,plain,
sz10 = sdtpldt0(sz00,sz10),
inference(resolution,[],[f138,f130]) ).
fof(f224,plain,
sz10 = sdtpldt0(sz10,sz00),
inference(resolution,[],[f137,f130]) ).
fof(f223,plain,
sz00 = sdtpldt0(sz00,sz00),
inference(resolution,[],[f137,f131]) ).
fof(f231,plain,
sK4 = sdtpldt0(sz00,sK4),
inference(resolution,[],[f138,f210]) ).
fof(f228,plain,
sz00 = sdtpldt0(sz00,sz00),
inference(resolution,[],[f138,f131]) ).
fof(f138,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f226,plain,
sK4 = sdtpldt0(sK4,sz00),
inference(resolution,[],[f137,f210]) ).
fof(f137,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f41]) ).
fof(f219,plain,
sz00 = sdtasdt0(sz00,sz10),
inference(resolution,[],[f136,f130]) ).
fof(f221,plain,
sz00 = sdtasdt0(sz00,sK4),
inference(resolution,[],[f136,f210]) ).
fof(f136,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f214,plain,
sz00 = sdtasdt0(sz10,sz00),
inference(resolution,[],[f135,f130]) ).
fof(f213,plain,
sz00 = sdtasdt0(sz00,sz00),
inference(resolution,[],[f135,f131]) ).
fof(f216,plain,
sz00 = sdtasdt0(sK4,sz00),
inference(resolution,[],[f135,f210]) ).
fof(f135,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f40]) ).
fof(f210,plain,
aElement0(sK4),
inference(subsumption_resolution,[],[f207,f112]) ).
fof(f207,plain,
( aElement0(sK4)
| ~ aSet0(sdtasasdt0(xI,xJ)) ),
inference(resolution,[],[f133,f116]) ).
fof(f212,plain,
aElement0(sK4),
inference(subsumption_resolution,[],[f209,f126]) ).
fof(f209,plain,
( aElement0(sK4)
| ~ aSet0(xJ) ),
inference(resolution,[],[f133,f206]) ).
fof(f211,plain,
aElement0(sK4),
inference(subsumption_resolution,[],[f208,f122]) ).
fof(f208,plain,
( aElement0(sK4)
| ~ aSet0(xI) ),
inference(resolution,[],[f133,f205]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f206,plain,
aElementOf0(sK4,xJ),
inference(resolution,[],[f114,f116]) ).
fof(f114,plain,
! [X3] :
( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f83]) ).
fof(f205,plain,
aElementOf0(sK4,xI),
inference(resolution,[],[f113,f116]) ).
fof(f113,plain,
! [X3] :
( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f83]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f117,plain,
( aElement0(sK5)
| aElementOf0(sK6,sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f151,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f116,plain,
aElementOf0(sK4,sdtasasdt0(xI,xJ)),
inference(cnf_transformation,[],[f83]) ).
fof(f121,plain,
~ aIdeal0(sdtasasdt0(xI,xJ)),
inference(cnf_transformation,[],[f83]) ).
fof(f112,plain,
aSet0(sdtasasdt0(xI,xJ)),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
sz00 != sz10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnNeZr) ).
fof(f131,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f130,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f129,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f37]) ).
fof(f126,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f37]) ).
fof(f125,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f37]) ).
fof(f122,plain,
aSet0(xI),
inference(cnf_transformation,[],[f37]) ).
fof(f179,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| ~ aElementOf0(sK17(X0,X1,X2),X0)
| ~ aElementOf0(sK17(X0,X1,X2),X1)
| ~ aElementOf0(sK17(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK12(X0,X1,X2) = sdtpldt0(sK13(X0,X1,X2),sK14(X0,X1,X2))
| aElementOf0(sK12(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f167,plain,
! [X2,X0,X1,X4,X5] :
( sP1(X0,X1,X2)
| sdtpldt0(X4,X5) != sK12(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK12(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f202,plain,
( ~ aElement0(sK5)
| spl18_2 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl18_2
<=> aElement0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f2799,plain,
( spl18_5
| ~ spl18_13 ),
inference(avatar_contradiction_clause,[],[f2798]) ).
fof(f2798,plain,
( $false
| spl18_5
| ~ spl18_13 ),
inference(global_subsumption,[],[f167,f166,f179,f122,f125,f126,f129,f130,f131,f132,f112,f121,f116,f151,f134,f117,f173,f113,f205,f114,f206,f133,f211,f212,f210,f135,f216,f213,f214,f136,f221,f219,f137,f226,f138,f228,f231,f223,f224,f229,f139,f235,f236,f234,f140,f240,f180,f241,f141,f245,f246,f243,f244,f142,f250,f251,f248,f152,f249,f153,f258,f262,f269,f270,f260,f263,f264,f256,f272,f273,f274,f275,f276,f277,f278,f279,f154,f155,f181,f282,f283,f284,f285,f286,f287,f288,f289,f182,f306,f307,f308,f309,f310,f311,f312,f313,f192,f215,f332,f333,f334,f338,f335,f330,f331,f337,f220,f346,f347,f348,f352,f349,f344,f115,f345,f360,f351,f281,f265,f266,f267,f268,f143,f381,f382,f383,f386,f387,f388,f384,f380,f144,f399,f400,f401,f404,f405,f402,f398,f193,f410,f225,f413,f414,f415,f418,f419,f416,f412,f230,f437,f438,f439,f442,f443,f440,f436,f124,f485,f486,f462,f490,f493,f494,f498,f128,f539,f576,f577,f582,f583,f585,f586,f596,f119,f491,f502,f497,f590,f553,f589,f146,f712,f713,f714,f715,f722,f770,f772,f773,f783,f174,f813,f764,f775,f776,f175,f820,f191,f120,f771,f123,f961,f127,f1004,f1036,f761,f1041,f762,f145,f1053,f1055,f1056,f1057,f1061,f1088,f1068,f1092,f1070,f1093,f183,f1112,f1113,f1114,f1118,f1119,f1124,f1125,f774,f1135,f184,f1179,f1180,f1181,f1186,f1187,f1192,f1193,f1089,f147,f1226,f1227,f1228,f1229,f815,f817,f172,f160,f1284,f161,f1370,f176,f1400,f1121,f1414,f1419,f1420,f1426,f1427,f1413,f1431,f148,f1443,f1444,f1442,f1189,f1470,f1475,f1476,f1482,f1483,f149,f1540,f1541,f1539,f170,f767,f185,f782,f1708,f910,f190,f1758,f164,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f165,f1879,f1880,f1881,f1882,f1883,f1884,f1885,f1886,f150,f1951,f1952,f1950,f156,f2030,f2031,f2032,f2033,f2029,f2034,f2035,f2036,f157,f2111,f158,f2178,f2180,f2181,f2182,f159,f2261,f186,f2338,f2339,f2340,f2347,f2348,f2359,f2362,f2363,f187,f2411,f2412,f2413,f2420,f2421,f2432,f2435,f2436,f162,f2484,f177,f2535,f2536,f2537,f2538,f2539,f2531,f2532,f2540,f2534,f178,f2590,f2591,f2592,f2593,f2594,f2586,f2587,f2595,f2589,f188,f2645,f2646,f2647,f2654,f2655,f2666,f2669,f2670,f189,f2689,f2690,f2691,f2698,f2699,f2710,f2713,f2714,f1243,f769,f752,f750,f749,f760,f756,f757,f118,f891,f2795,f429]) ).
fof(f2797,plain,
( spl18_5
| ~ spl18_13 ),
inference(avatar_contradiction_clause,[],[f2796]) ).
fof(f2796,plain,
( $false
| spl18_5
| ~ spl18_13 ),
inference(global_subsumption,[],[f167,f166,f179,f122,f125,f126,f129,f130,f131,f132,f112,f121,f116,f151,f134,f117,f173,f113,f205,f114,f206,f133,f211,f212,f210,f135,f216,f213,f214,f136,f221,f219,f137,f226,f138,f228,f231,f223,f224,f229,f139,f235,f236,f234,f140,f240,f180,f241,f141,f245,f246,f243,f244,f142,f250,f251,f248,f152,f249,f153,f258,f262,f269,f270,f260,f263,f264,f256,f272,f273,f274,f275,f276,f277,f278,f279,f154,f155,f181,f282,f283,f284,f285,f286,f287,f288,f289,f182,f306,f307,f308,f309,f310,f311,f312,f313,f192,f215,f332,f333,f334,f338,f335,f330,f331,f337,f220,f346,f347,f348,f352,f349,f344,f115,f345,f360,f351,f281,f265,f266,f267,f268,f143,f381,f382,f383,f386,f387,f388,f384,f380,f144,f399,f400,f401,f404,f405,f402,f398,f193,f410,f225,f413,f414,f415,f418,f419,f416,f412,f429,f230,f437,f438,f439,f442,f443,f440,f436,f124,f485,f486,f462,f490,f493,f494,f498,f128,f539,f576,f577,f582,f583,f585,f586,f596,f119,f491,f502,f497,f590,f553,f589,f146,f712,f713,f714,f715,f722,f770,f772,f773,f783,f174,f813,f764,f775,f776,f175,f820,f191,f120,f771,f123,f961,f127,f1004,f1036,f761,f1041,f762,f145,f1053,f1055,f1056,f1057,f1061,f1088,f1068,f1092,f1070,f1093,f183,f1112,f1113,f1114,f1118,f1119,f1124,f1125,f774,f1135,f184,f1179,f1180,f1181,f1186,f1187,f1192,f1193,f1089,f147,f1226,f1227,f1228,f1229,f815,f817,f172,f160,f1284,f161,f1370,f176,f1400,f1121,f1414,f1419,f1420,f1426,f1427,f1413,f1431,f148,f1443,f1444,f1442,f1189,f1470,f1475,f1476,f1482,f1483,f149,f1540,f1541,f1539,f170,f767,f185,f782,f1708,f910,f190,f1758,f164,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f165,f1879,f1880,f1881,f1882,f1883,f1884,f1885,f1886,f150,f1951,f1952,f1950,f156,f2030,f2031,f2032,f2033,f2029,f2034,f2035,f2036,f157,f2111,f158,f2178,f2180,f2181,f2182,f159,f2261,f186,f2338,f2339,f2340,f2347,f2348,f2359,f2362,f2363,f187,f2411,f2412,f2413,f2420,f2421,f2432,f2435,f2436,f162,f2484,f177,f2535,f2536,f2537,f2538,f2539,f2531,f2532,f2540,f2534,f178,f2590,f2591,f2592,f2593,f2594,f2586,f2587,f2595,f2589,f188,f2645,f2646,f2647,f2654,f2655,f2666,f2669,f2670,f189,f2689,f2690,f2691,f2698,f2699,f2710,f2713,f2714,f1243,f769,f752,f750,f749,f760,f756,f757,f118,f891,f2795]) ).
fof(f2794,plain,
( spl18_2
| ~ spl18_13 ),
inference(avatar_contradiction_clause,[],[f2793]) ).
fof(f2793,plain,
( $false
| spl18_2
| ~ spl18_13 ),
inference(global_subsumption,[],[f167,f166,f179,f122,f125,f126,f129,f130,f131,f132,f112,f121,f116,f151,f134,f117,f173,f113,f205,f114,f206,f133,f211,f212,f210,f135,f216,f213,f214,f136,f221,f219,f137,f226,f138,f228,f231,f223,f224,f229,f139,f235,f236,f234,f140,f240,f180,f241,f141,f245,f246,f243,f244,f142,f250,f251,f248,f152,f249,f153,f258,f262,f269,f270,f260,f263,f264,f256,f272,f273,f274,f275,f276,f277,f278,f279,f154,f155,f181,f282,f283,f284,f285,f286,f287,f288,f289,f182,f306,f307,f308,f309,f310,f311,f312,f313,f192,f215,f332,f333,f334,f338,f335,f330,f331,f337,f220,f346,f347,f348,f352,f349,f344,f115,f345,f360,f351,f281,f265,f266,f267,f268,f143,f381,f382,f383,f386,f387,f388,f384,f380,f144,f399,f400,f401,f404,f405,f402,f398,f193,f410,f225,f413,f414,f415,f418,f419,f416,f412,f230,f437,f438,f439,f442,f443,f440,f436,f124,f485,f486,f462,f490,f493,f494,f498,f128,f539,f576,f577,f582,f583,f585,f586,f596,f119,f491,f502,f202,f497,f590,f553,f589,f146,f712,f713,f714,f715,f722,f770,f772,f773,f783,f174,f813,f764,f775,f776,f175,f820,f191,f120,f771,f123,f961,f127,f1004,f1036,f761,f1041,f762,f145,f1053,f1055,f1056,f1057,f1061,f1088,f1068,f1092,f1070,f1093,f183,f1112,f1113,f1114,f1118,f1119,f1124,f1125,f774,f1135,f184,f1179,f1180,f1181,f1186,f1187,f1192,f1193,f1089,f147,f1226,f1227,f1228,f1229,f815,f817,f172,f160,f1284,f161,f1370,f176,f1400,f1121,f1414,f1419,f1420,f1426,f1427,f1413,f1431,f148,f1443,f1444,f1442,f1189,f1470,f1475,f1476,f1482,f1483,f149,f1540,f1541,f1539,f170,f767,f185,f782,f1708,f910,f190,f1758,f164,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f165,f1879,f1880,f1881,f1882,f1883,f1884,f1885,f1886,f150,f1951,f1952,f1950,f156,f2030,f2031,f2032,f2033,f2029,f2034,f2035,f2036,f157,f2111,f158,f2178,f2180,f2181,f2182,f159,f2261,f186,f2338,f2339,f2340,f2347,f2348,f2359,f2362,f2363,f187,f2411,f2412,f2413,f2420,f2421,f2432,f2435,f2436,f162,f2484,f177,f2535,f2536,f2537,f2538,f2539,f2531,f2532,f2540,f2534,f178,f2590,f2591,f2592,f2593,f2594,f2586,f2587,f2595,f2589,f188,f2645,f2646,f2647,f2654,f2655,f2666,f2669,f2670,f189,f2689,f2690,f2691,f2698,f2699,f2710,f2713,f2714,f1243,f769,f752,f750,f749,f760,f756,f757,f118,f2789,f891]) ).
fof(f2789,plain,
( ~ aElementOf0(sdtpldt0(sK4,sK6),sdtasasdt0(xI,xJ))
| spl18_2 ),
inference(global_subsumption,[],[f167,f166,f179,f122,f125,f126,f129,f130,f131,f132,f112,f121,f116,f151,f134,f117,f173,f113,f205,f114,f206,f133,f211,f212,f210,f135,f216,f213,f214,f136,f221,f219,f137,f226,f138,f228,f231,f223,f224,f229,f139,f235,f236,f234,f140,f240,f180,f241,f141,f245,f246,f243,f244,f142,f250,f251,f248,f152,f249,f153,f258,f262,f269,f270,f260,f263,f264,f256,f272,f273,f274,f275,f276,f277,f278,f279,f154,f155,f181,f282,f283,f284,f285,f286,f287,f288,f289,f182,f306,f307,f308,f309,f310,f311,f312,f313,f192,f215,f332,f333,f334,f338,f335,f330,f331,f337,f220,f346,f347,f348,f352,f349,f344,f115,f345,f360,f351,f281,f265,f266,f267,f268,f143,f381,f382,f383,f386,f387,f388,f384,f380,f144,f399,f400,f401,f404,f405,f402,f398,f193,f410,f225,f413,f414,f415,f418,f419,f416,f412,f230,f437,f438,f439,f442,f443,f440,f436,f124,f485,f486,f462,f490,f493,f494,f498,f128,f539,f576,f577,f582,f583,f585,f586,f596,f119,f491,f502,f202,f497,f590,f553,f589,f146,f712,f713,f714,f715,f722,f770,f772,f773,f783,f174,f813,f764,f775,f776,f175,f820,f191,f120,f771,f123,f961,f127,f1004,f1036,f761,f1041,f762,f145,f1053,f1055,f1056,f1057,f1061,f1088,f1068,f1092,f1070,f1093,f183,f1112,f1113,f1114,f1118,f1119,f1124,f1125,f774,f1135,f184,f1179,f1180,f1181,f1186,f1187,f1192,f1193,f1089,f147,f1226,f1227,f1228,f1229,f815,f817,f172,f160,f1284,f161,f1370,f176,f1400,f1121,f1414,f1419,f1420,f1426,f1427,f1413,f1431,f148,f1443,f1444,f1442,f1189,f1470,f1475,f1476,f1482,f1483,f149,f1540,f1541,f1539,f170,f767,f185,f782,f1708,f910,f190,f1758,f164,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f165,f1879,f1880,f1881,f1882,f1883,f1884,f1885,f1886,f150,f1951,f1952,f1950,f156,f2030,f2031,f2032,f2033,f2029,f2034,f2035,f2036,f157,f2111,f158,f2178,f2180,f2181,f2182,f159,f2261,f186,f2338,f2339,f2340,f2347,f2348,f2359,f2362,f2363,f187,f2411,f2412,f2413,f2420,f2421,f2432,f2435,f2436,f162,f2484,f177,f2535,f2536,f2537,f2538,f2539,f2531,f2532,f2540,f2534,f178,f2590,f2591,f2592,f2593,f2594,f2586,f2587,f2595,f2589,f188,f2645,f2646,f2647,f2654,f2655,f2666,f2669,f2670,f189,f2689,f2690,f2691,f2698,f2699,f2710,f2713,f2714,f1243,f769,f752,f750,f749,f760,f756,f757,f118]) ).
fof(f2763,plain,
( ~ spl18_4
| spl18_25 ),
inference(avatar_contradiction_clause,[],[f2762]) ).
fof(f2762,plain,
( $false
| ~ spl18_4
| spl18_25 ),
inference(subsumption_resolution,[],[f2761,f206]) ).
fof(f2761,plain,
( ~ aElementOf0(sK4,xJ)
| ~ spl18_4
| spl18_25 ),
inference(subsumption_resolution,[],[f2759,f367]) ).
fof(f367,plain,
( aElementOf0(sK6,xJ)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl18_4
<=> aElementOf0(sK6,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).
fof(f2759,plain,
( ~ aElementOf0(sK6,xJ)
| ~ aElementOf0(sK4,xJ)
| spl18_25 ),
inference(resolution,[],[f2723,f127]) ).
fof(f2723,plain,
( ~ aElementOf0(sdtpldt0(sK4,sK6),xJ)
| spl18_25 ),
inference(avatar_component_clause,[],[f2721]) ).
fof(f2721,plain,
( spl18_25
<=> aElementOf0(sdtpldt0(sK4,sK6),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).
fof(f2729,plain,
( ~ spl18_3
| spl18_24 ),
inference(avatar_contradiction_clause,[],[f2728]) ).
fof(f2728,plain,
( $false
| ~ spl18_3
| spl18_24 ),
inference(subsumption_resolution,[],[f2727,f205]) ).
fof(f2727,plain,
( ~ aElementOf0(sK4,xI)
| ~ spl18_3
| spl18_24 ),
inference(subsumption_resolution,[],[f2725,f363]) ).
fof(f363,plain,
( aElementOf0(sK6,xI)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl18_3
<=> aElementOf0(sK6,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).
fof(f2725,plain,
( ~ aElementOf0(sK6,xI)
| ~ aElementOf0(sK4,xI)
| spl18_24 ),
inference(resolution,[],[f2719,f123]) ).
fof(f2719,plain,
( ~ aElementOf0(sdtpldt0(sK4,sK6),xI)
| spl18_24 ),
inference(avatar_component_clause,[],[f2717]) ).
fof(f2717,plain,
( spl18_24
<=> aElementOf0(sdtpldt0(sK4,sK6),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).
fof(f2724,plain,
( ~ spl18_24
| ~ spl18_25
| spl18_13 ),
inference(avatar_split_clause,[],[f900,f890,f2721,f2717]) ).
fof(f900,plain,
( ~ aElementOf0(sdtpldt0(sK4,sK6),xJ)
| ~ aElementOf0(sdtpldt0(sK4,sK6),xI)
| spl18_13 ),
inference(resolution,[],[f892,f115]) ).
fof(f892,plain,
( ~ aElementOf0(sdtpldt0(sK4,sK6),sdtasasdt0(xI,xJ))
| spl18_13 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f2383,plain,
( spl18_22
| ~ spl18_23
| ~ spl18_9 ),
inference(avatar_split_clause,[],[f1695,f530,f2380,f2376]) ).
fof(f2376,plain,
( spl18_22
<=> sz00 = smndt0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).
fof(f2380,plain,
( spl18_23
<=> sz00 = smndt0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).
fof(f530,plain,
( spl18_9
<=> aElement0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).
fof(f1695,plain,
( sz00 != smndt0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ spl18_9 ),
inference(subsumption_resolution,[],[f1693,f531]) ).
fof(f531,plain,
( aElement0(smndt0(sz10))
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f1693,plain,
( sz00 != smndt0(smndt0(sz10))
| sz00 = smndt0(sz10)
| ~ aElement0(smndt0(sz10))
| ~ spl18_9 ),
inference(duplicate_literal_removal,[],[f1671]) ).
fof(f1671,plain,
( sz00 != smndt0(smndt0(sz10))
| sz00 = smndt0(sz10)
| sz00 = smndt0(sz10)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(smndt0(sz10))
| ~ spl18_9 ),
inference(superposition,[],[f185,f612]) ).
fof(f612,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10))
| ~ spl18_9 ),
inference(resolution,[],[f531,f143]) ).
fof(f1767,plain,
( ~ spl18_1
| ~ spl18_2
| spl18_21 ),
inference(avatar_contradiction_clause,[],[f1766]) ).
fof(f1766,plain,
( $false
| ~ spl18_1
| ~ spl18_2
| spl18_21 ),
inference(subsumption_resolution,[],[f1765,f203]) ).
fof(f203,plain,
( aElement0(sK5)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f1765,plain,
( ~ aElement0(sK5)
| ~ spl18_1
| spl18_21 ),
inference(subsumption_resolution,[],[f1764,f643]) ).
fof(f643,plain,
( aElement0(sK6)
| ~ spl18_1 ),
inference(subsumption_resolution,[],[f638,f112]) ).
fof(f638,plain,
( aElement0(sK6)
| ~ aSet0(sdtasasdt0(xI,xJ))
| ~ spl18_1 ),
inference(resolution,[],[f199,f133]) ).
fof(f199,plain,
( aElementOf0(sK6,sdtasasdt0(xI,xJ))
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl18_1
<=> aElementOf0(sK6,sdtasasdt0(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f1764,plain,
( ~ aElement0(sK6)
| ~ aElement0(sK5)
| spl18_21 ),
inference(resolution,[],[f1761,f182]) ).
fof(f1761,plain,
( ~ aElement0(sdtasdt0(sK5,sK6))
| spl18_21 ),
inference(avatar_component_clause,[],[f1760]) ).
fof(f1760,plain,
( spl18_21
<=> aElement0(sdtasdt0(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_21])]) ).
fof(f1763,plain,
( spl18_21
| spl18_20
| ~ spl18_1
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f1394,f201,f197,f1151,f1760]) ).
fof(f1151,plain,
( spl18_20
<=> ! [X0] :
( ~ sP0(X0,sK5)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).
fof(f1394,plain,
( ! [X0] :
( ~ sP0(X0,sK5)
| aElement0(sdtasdt0(sK5,sK6))
| ~ aSet0(X0) )
| ~ spl18_1
| ~ spl18_2 ),
inference(resolution,[],[f1377,f133]) ).
fof(f1377,plain,
( ! [X0] :
( aElementOf0(sdtasdt0(sK5,sK6),X0)
| ~ sP0(X0,sK5) )
| ~ spl18_1
| ~ spl18_2 ),
inference(subsumption_resolution,[],[f1373,f643]) ).
fof(f1373,plain,
( ! [X0] :
( aElementOf0(sdtasdt0(sK5,sK6),X0)
| ~ aElement0(sK6)
| ~ sP0(X0,sK5) )
| ~ spl18_1
| ~ spl18_2 ),
inference(superposition,[],[f146,f1327]) ).
fof(f1327,plain,
( sdtasdt0(sK5,sK6) = sdtasdt0(sK6,sK5)
| ~ spl18_1
| ~ spl18_2 ),
inference(resolution,[],[f1190,f643]) ).
fof(f1190,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sK5,X0) = sdtasdt0(X0,sK5) )
| ~ spl18_2 ),
inference(resolution,[],[f184,f203]) ).
fof(f1153,plain,
( spl18_19
| spl18_20
| ~ spl18_2
| ~ spl18_9 ),
inference(avatar_split_clause,[],[f875,f530,f201,f1151,f1147]) ).
fof(f1147,plain,
( spl18_19
<=> aElement0(smndt0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_19])]) ).
fof(f875,plain,
( ! [X0] :
( ~ sP0(X0,sK5)
| aElement0(smndt0(sK5))
| ~ aSet0(X0) )
| ~ spl18_2
| ~ spl18_9 ),
inference(resolution,[],[f826,f133]) ).
fof(f826,plain,
( ! [X0] :
( aElementOf0(smndt0(sK5),X0)
| ~ sP0(X0,sK5) )
| ~ spl18_2
| ~ spl18_9 ),
inference(subsumption_resolution,[],[f822,f531]) ).
fof(f822,plain,
( ! [X0] :
( aElementOf0(smndt0(sK5),X0)
| ~ aElement0(smndt0(sz10))
| ~ sP0(X0,sK5) )
| ~ spl18_2 ),
inference(superposition,[],[f146,f653]) ).
fof(f653,plain,
( smndt0(sK5) = sdtasdt0(smndt0(sz10),sK5)
| ~ spl18_2 ),
inference(resolution,[],[f203,f143]) ).
fof(f1107,plain,
( ~ spl18_17
| spl18_18
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f833,f201,f1104,f1100]) ).
fof(f1100,plain,
( spl18_17
<=> aElementOf0(smndt0(sz10),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).
fof(f1104,plain,
( spl18_18
<=> aElementOf0(smndt0(sK5),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).
fof(f833,plain,
( aElementOf0(smndt0(sK5),xI)
| ~ aElementOf0(smndt0(sz10),xI)
| ~ spl18_2 ),
inference(subsumption_resolution,[],[f829,f203]) ).
fof(f829,plain,
( aElementOf0(smndt0(sK5),xI)
| ~ aElement0(sK5)
| ~ aElementOf0(smndt0(sz10),xI)
| ~ spl18_2 ),
inference(superposition,[],[f124,f654]) ).
fof(f654,plain,
( smndt0(sK5) = sdtasdt0(sK5,smndt0(sz10))
| ~ spl18_2 ),
inference(resolution,[],[f203,f144]) ).
fof(f1052,plain,
( ~ spl18_15
| spl18_16
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f832,f201,f1049,f1045]) ).
fof(f1045,plain,
( spl18_15
<=> aElementOf0(smndt0(sz10),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).
fof(f1049,plain,
( spl18_16
<=> aElementOf0(smndt0(sK5),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).
fof(f832,plain,
( aElementOf0(smndt0(sK5),xJ)
| ~ aElementOf0(smndt0(sz10),xJ)
| ~ spl18_2 ),
inference(subsumption_resolution,[],[f828,f203]) ).
fof(f828,plain,
( aElementOf0(smndt0(sK5),xJ)
| ~ aElement0(sK5)
| ~ aElementOf0(smndt0(sz10),xJ)
| ~ spl18_2 ),
inference(superposition,[],[f128,f654]) ).
fof(f906,plain,
( ~ spl18_5
| ~ spl18_6
| spl18_14 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f905,plain,
( $false
| ~ spl18_5
| ~ spl18_6
| spl18_14 ),
inference(subsumption_resolution,[],[f904,f428]) ).
fof(f428,plain,
( aElementOf0(sdtasdt0(sK5,sK4),xI)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f904,plain,
( ~ aElementOf0(sdtasdt0(sK5,sK4),xI)
| ~ spl18_6
| spl18_14 ),
inference(subsumption_resolution,[],[f902,f432]) ).
fof(f432,plain,
( aElementOf0(sdtasdt0(sK5,sK4),xJ)
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl18_6
<=> aElementOf0(sdtasdt0(sK5,sK4),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).
fof(f902,plain,
( ~ aElementOf0(sdtasdt0(sK5,sK4),xJ)
| ~ aElementOf0(sdtasdt0(sK5,sK4),xI)
| spl18_14 ),
inference(resolution,[],[f896,f115]) ).
fof(f896,plain,
( ~ aElementOf0(sdtasdt0(sK5,sK4),sdtasasdt0(xI,xJ))
| spl18_14 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f894,plain,
( spl18_14
<=> aElementOf0(sdtasdt0(sK5,sK4),sdtasasdt0(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).
fof(f897,plain,
( ~ spl18_13
| ~ spl18_14 ),
inference(avatar_split_clause,[],[f120,f894,f890]) ).
fof(f809,plain,
( ~ spl18_11
| spl18_12
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f689,f201,f806,f802]) ).
fof(f802,plain,
( spl18_11
<=> aElementOf0(sz10,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).
fof(f806,plain,
( spl18_12
<=> aElementOf0(sK5,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).
fof(f689,plain,
( aElementOf0(sK5,xJ)
| ~ aElementOf0(sz10,xJ)
| ~ spl18_2 ),
inference(subsumption_resolution,[],[f686,f203]) ).
fof(f686,plain,
( aElementOf0(sK5,xJ)
| ~ aElement0(sK5)
| ~ aElementOf0(sz10,xJ)
| ~ spl18_2 ),
inference(superposition,[],[f128,f649]) ).
fof(f649,plain,
( sK5 = sdtasdt0(sK5,sz10)
| ~ spl18_2 ),
inference(resolution,[],[f203,f139]) ).
fof(f642,plain,
( ~ spl18_1
| spl18_3 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f641,plain,
( $false
| ~ spl18_1
| spl18_3 ),
inference(subsumption_resolution,[],[f637,f364]) ).
fof(f364,plain,
( ~ aElementOf0(sK6,xI)
| spl18_3 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f637,plain,
( aElementOf0(sK6,xI)
| ~ spl18_1 ),
inference(resolution,[],[f199,f113]) ).
fof(f640,plain,
( ~ spl18_1
| spl18_4 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| ~ spl18_1
| spl18_4 ),
inference(subsumption_resolution,[],[f636,f368]) ).
fof(f368,plain,
( ~ aElementOf0(sK6,xJ)
| spl18_4 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f636,plain,
( aElementOf0(sK6,xJ)
| ~ spl18_1 ),
inference(resolution,[],[f199,f114]) ).
fof(f603,plain,
spl18_9,
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f602,plain,
( $false
| spl18_9 ),
inference(subsumption_resolution,[],[f601,f130]) ).
fof(f601,plain,
( ~ aElement0(sz10)
| spl18_9 ),
inference(resolution,[],[f532,f134]) ).
fof(f532,plain,
( ~ aElement0(smndt0(sz10))
| spl18_9 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f575,plain,
( ~ spl18_2
| spl18_6 ),
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f574,plain,
( $false
| ~ spl18_2
| spl18_6 ),
inference(subsumption_resolution,[],[f573,f206]) ).
fof(f573,plain,
( ~ aElementOf0(sK4,xJ)
| ~ spl18_2
| spl18_6 ),
inference(subsumption_resolution,[],[f538,f203]) ).
fof(f538,plain,
( ~ aElement0(sK5)
| ~ aElementOf0(sK4,xJ)
| spl18_6 ),
inference(resolution,[],[f128,f433]) ).
fof(f433,plain,
( ~ aElementOf0(sdtasdt0(sK5,sK4),xJ)
| spl18_6 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f537,plain,
( ~ spl18_9
| spl18_10 ),
inference(avatar_split_clause,[],[f498,f534,f530]) ).
fof(f534,plain,
( spl18_10
<=> aElementOf0(smndt0(sK4),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).
fof(f528,plain,
( ~ spl18_7
| spl18_8
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f487,f201,f525,f521]) ).
fof(f521,plain,
( spl18_7
<=> aElementOf0(sz10,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).
fof(f525,plain,
( spl18_8
<=> aElementOf0(sK5,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).
fof(f487,plain,
( aElementOf0(sK5,xI)
| ~ aElementOf0(sz10,xI)
| ~ spl18_2 ),
inference(subsumption_resolution,[],[f464,f203]) ).
fof(f464,plain,
( aElementOf0(sK5,xI)
| ~ aElement0(sK5)
| ~ aElementOf0(sz10,xI)
| ~ spl18_2 ),
inference(superposition,[],[f124,f237]) ).
fof(f237,plain,
( sK5 = sdtasdt0(sK5,sz10)
| ~ spl18_2 ),
inference(resolution,[],[f139,f203]) ).
fof(f484,plain,
( ~ spl18_2
| spl18_5 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| ~ spl18_2
| spl18_5 ),
inference(subsumption_resolution,[],[f482,f205]) ).
fof(f482,plain,
( ~ aElementOf0(sK4,xI)
| ~ spl18_2
| spl18_5 ),
inference(subsumption_resolution,[],[f448,f203]) ).
fof(f434,plain,
( ~ spl18_5
| ~ spl18_6
| spl18_1 ),
inference(avatar_split_clause,[],[f422,f197,f431,f427]) ).
fof(f422,plain,
( ~ aElementOf0(sdtasdt0(sK5,sK4),xJ)
| ~ aElementOf0(sdtasdt0(sK5,sK4),xI)
| spl18_1 ),
inference(resolution,[],[f421,f115]) ).
fof(f421,plain,
( ~ aElementOf0(sdtasdt0(sK5,sK4),sdtasasdt0(xI,xJ))
| spl18_1 ),
inference(subsumption_resolution,[],[f119,f198]) ).
fof(f198,plain,
( ~ aElementOf0(sK6,sdtasasdt0(xI,xJ))
| spl18_1 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f369,plain,
( ~ spl18_3
| ~ spl18_4
| spl18_1 ),
inference(avatar_split_clause,[],[f356,f197,f366,f362]) ).
fof(f356,plain,
( ~ aElementOf0(sK6,xJ)
| ~ aElementOf0(sK6,xI)
| spl18_1 ),
inference(resolution,[],[f115,f198]) ).
fof(f204,plain,
( spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f117,f201,f197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : RNG093+2 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n025.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat May 18 11:57:23 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.32 % (18292)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.34 % (18298)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)
% 0.16/0.34 % (18295)WARNING: value z3 for option sas not known
% 0.16/0.34 % (18299)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)
% 0.16/0.34 % (18296)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.34 % (18293)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.34 % (18294)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.34 % (18295)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)
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.35 TRYING [3]
% 0.16/0.35 % (18297)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)
% 0.16/0.35 TRYING [3]
% 0.16/0.38 TRYING [4]
% 0.16/0.38 TRYING [4]
% 0.16/0.44 % (18295)First to succeed.
% 0.16/0.45 % (18295)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18292"
% 0.16/0.45 % (18295)Refutation found. Thanks to Tanya!
% 0.16/0.45 % SZS status Theorem for theBenchmark
% 0.16/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.45 % (18295)------------------------------
% 0.16/0.45 % (18295)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.46 % (18295)Termination reason: Refutation
% 0.16/0.46
% 0.16/0.46 % (18295)Memory used [KB]: 2277
% 0.16/0.46 % (18295)Time elapsed: 0.110 s
% 0.16/0.46 % (18295)Instructions burned: 231 (million)
% 0.16/0.46 % (18292)Success in time 0.12 s
%------------------------------------------------------------------------------