TSTP Solution File: NUM521+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM521+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 : Sun May 5 08:35:19 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 51
% Syntax : Number of formulae : 479 ( 69 unt; 0 def)
% Number of atoms : 1838 ( 634 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 2326 ( 967 ~;1088 |; 189 &)
% ( 19 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 751 ( 731 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f621,plain,
$false,
inference(avatar_sat_refutation,[],[f573,f595,f597,f599,f620]) ).
fof(f620,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f619,plain,
( $false
| ~ spl6_1 ),
inference(global_subsumption,[],[f149,f150,f164,f163,f173,f172,f171,f169,f176,f234,f184,f226,f227,f189,f188,f190,f191,f195,f194,f193,f192,f196,f229,f230,f231,f200,f201,f232,f203,f233,f206,f208,f209,f211,f210,f215,f214,f235,f213,f212,f236,f216,f217,f218,f219,f221,f220,f144,f146,f147,f148,f151,f152,f223,f224,f140,f141,f142,f143,f153,f174,f145,f154,f165,f166,f237,f241,f242,f238,f155,f247,f156,f250,f248,f249,f252,f253,f254,f245,f246,f251,f157,f257,f158,f260,f258,f259,f262,f263,f264,f255,f256,f261,f159,f267,f160,f271,f268,f269,f272,f273,f274,f266,f178,f275,f276,f277,f278,f280,f179,f291,f292,f293,f294,f295,f296,f183,f326,f328,f322,f162,f324,f170,f329,f330,f331,f332,f333,f334,f175,f335,f336,f337,f338,f339,f340,f177,f180,f343,f344,f348,f349,f345,f352,f353,f357,f358,f351,f355,f356,f181,f365,f366,f370,f371,f346,f374,f375,f379,f380,f373,f378,f347,f386,f387,f391,f392,f385,f367,f397,f398,f402,f403,f400,f401,f368,f410,f411,f415,f416,f414,f369,f422,f423,f427,f428,f202,f431,f432,f433,f434,f435,f436,f437,f438,f439,f440,f441,f442,f443,f444,f341,f447,f448,f452,f453,f454,f342,f461,f462,f466,f467,f468,f363,f472,f473,f477,f478,f479,f364,f486,f487,f491,f492,f493,f205,f498,f499,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f228,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f529,f530,f531,f532,f533,f279,f534,f535,f536,f537,f538,f540,f541,f542,f543,f544,f545,f539,f559,f548,f549,f550,f554,f555,f556,f557,f551,f552,f553,f564,f568,f600,f601,f602,f603,f604,f605,f613,f614]) ).
fof(f614,plain,
( sdtlseqdt0(xn,xn)
| ~ spl6_1 ),
inference(superposition,[],[f324,f568]) ).
fof(f613,plain,
( sdtlseqdt0(xm,xn)
| ~ spl6_1 ),
inference(superposition,[],[f322,f568]) ).
fof(f605,plain,
( doDivides0(xn,sdtasdt0(xn,xm))
| ~ spl6_1 ),
inference(superposition,[],[f145,f568]) ).
fof(f604,plain,
( isPrime0(xn)
| ~ spl6_1 ),
inference(superposition,[],[f144,f568]) ).
fof(f603,plain,
( ~ sdtlseqdt0(xn,xn)
| ~ spl6_1 ),
inference(superposition,[],[f143,f568]) ).
fof(f602,plain,
( ~ sdtlseqdt0(xn,xm)
| ~ spl6_1 ),
inference(superposition,[],[f142,f568]) ).
fof(f601,plain,
( ~ doDivides0(xn,xm)
| ~ spl6_1 ),
inference(superposition,[],[f141,f568]) ).
fof(f600,plain,
( ~ doDivides0(xn,xn)
| ~ spl6_1 ),
inference(superposition,[],[f140,f568]) ).
fof(f568,plain,
( xn = xp
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f566,plain,
( spl6_1
<=> xn = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f564,plain,
( xm = xp
| xn = xp ),
inference(subsumption_resolution,[],[f563,f324]) ).
fof(f563,plain,
( xm = xp
| ~ sdtlseqdt0(xn,xp)
| xn = xp ),
inference(subsumption_resolution,[],[f149,f322]) ).
fof(f553,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xn,xp)),
inference(resolution,[],[f539,f148]) ).
fof(f552,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xn,xm)),
inference(resolution,[],[f539,f147]) ).
fof(f551,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xn,xn)),
inference(resolution,[],[f539,f146]) ).
fof(f557,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK5(X0,X1)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f539,f205]) ).
fof(f556,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK4(X0,X1)))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f539,f202]) ).
fof(f555,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK3(X0)))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f539,f175]) ).
fof(f554,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK2(X0)))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f539,f170]) ).
fof(f550,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtmndt0(X0,X1)))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f539,f228]) ).
fof(f549,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f539,f179]) ).
fof(f548,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f539,f178]) ).
fof(f559,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xn)),
inference(forward_demodulation,[],[f547,f351]) ).
fof(f547,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xn,sz10)),
inference(resolution,[],[f539,f152]) ).
fof(f539,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) ),
inference(resolution,[],[f279,f146]) ).
fof(f545,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK5(X1,X2),X0))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f279,f205]) ).
fof(f544,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK4(X1,X2),X0))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f279,f202]) ).
fof(f543,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK3(X1),X0))
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f279,f175]) ).
fof(f542,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK2(X1),X0))
| sP0(X1)
| sz10 = X1
| sz00 = X1 ),
inference(resolution,[],[f279,f170]) ).
fof(f541,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xp,X0)) ),
inference(resolution,[],[f279,f148]) ).
fof(f540,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) ),
inference(resolution,[],[f279,f147]) ).
fof(f538,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtmndt0(X1,X2),X0))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f279,f228]) ).
fof(f537,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f279,f179]) ).
fof(f536,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f279,f178]) ).
fof(f535,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) ),
inference(resolution,[],[f279,f152]) ).
fof(f534,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) ),
inference(resolution,[],[f279,f151]) ).
fof(f279,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f178,f156]) ).
fof(f533,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),xp) = sdtasdt0(xp,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f369]) ).
fof(f532,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),xm) = sdtasdt0(xm,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f368]) ).
fof(f531,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),xn) = sdtasdt0(xn,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f367]) ).
fof(f530,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),sz10) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f364]) ).
fof(f529,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),sz00) = sdtasdt0(sz00,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f363]) ).
fof(f528,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtmndt0(X1,X0),xp) = sdtpldt0(xp,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f347]) ).
fof(f527,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtmndt0(X1,X0),xm) = sdtpldt0(xm,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f346]) ).
fof(f526,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(xn,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),xn) ),
inference(resolution,[],[f228,f345]) ).
fof(f525,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtmndt0(X1,X0),sz10) = sdtpldt0(sz10,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f342]) ).
fof(f524,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtmndt0(X1,X0),sz00) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f341]) ).
fof(f523,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f228,f181]) ).
fof(f522,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f228,f180]) ).
fof(f521,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f160]) ).
fof(f520,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) ),
inference(resolution,[],[f228,f159]) ).
fof(f519,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f158]) ).
fof(f518,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) ),
inference(resolution,[],[f228,f157]) ).
fof(f517,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f228,f156]) ).
fof(f516,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ),
inference(resolution,[],[f228,f155]) ).
fof(f228,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f515,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK5(X0,X1),xp) = sdtasdt0(xp,sK5(X0,X1)) ),
inference(resolution,[],[f205,f369]) ).
fof(f514,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK5(X0,X1),xm) = sdtasdt0(xm,sK5(X0,X1)) ),
inference(resolution,[],[f205,f368]) ).
fof(f513,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK5(X0,X1),xn) = sdtasdt0(xn,sK5(X0,X1)) ),
inference(resolution,[],[f205,f367]) ).
fof(f512,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK5(X0,X1),sz10) = sdtasdt0(sz10,sK5(X0,X1)) ),
inference(resolution,[],[f205,f364]) ).
fof(f511,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK5(X0,X1),sz00) = sdtasdt0(sz00,sK5(X0,X1)) ),
inference(resolution,[],[f205,f363]) ).
fof(f510,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK5(X0,X1),xp) = sdtpldt0(xp,sK5(X0,X1)) ),
inference(resolution,[],[f205,f347]) ).
fof(f509,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK5(X0,X1),xm) = sdtpldt0(xm,sK5(X0,X1)) ),
inference(resolution,[],[f205,f346]) ).
fof(f508,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(xn,sK5(X0,X1)) = sdtpldt0(sK5(X0,X1),xn) ),
inference(resolution,[],[f205,f345]) ).
fof(f507,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK5(X0,X1),sz10) = sdtpldt0(sz10,sK5(X0,X1)) ),
inference(resolution,[],[f205,f342]) ).
fof(f506,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK5(X0,X1),sz00) = sdtpldt0(sz00,sK5(X0,X1)) ),
inference(resolution,[],[f205,f341]) ).
fof(f505,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK5(X0,X1)) = sdtasdt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f205,f181]) ).
fof(f504,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK5(X0,X1)) = sdtpldt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f205,f180]) ).
fof(f503,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) ),
inference(resolution,[],[f205,f160]) ).
fof(f502,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) ),
inference(resolution,[],[f205,f159]) ).
fof(f501,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) ),
inference(resolution,[],[f205,f158]) ).
fof(f500,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) ),
inference(resolution,[],[f205,f157]) ).
fof(f499,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) ),
inference(resolution,[],[f205,f156]) ).
fof(f498,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) ),
inference(resolution,[],[f205,f155]) ).
fof(f205,plain,
! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f137,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f493,plain,
! [X0,X1] :
( sdtasdt0(sK4(X0,X1),sz10) = sdtasdt0(sz10,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f364,f202]) ).
fof(f492,plain,
! [X0] :
( sdtasdt0(sz10,sK3(X0)) = sdtasdt0(sK3(X0),sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f364,f175]) ).
fof(f491,plain,
! [X0] :
( sdtasdt0(sz10,sK2(X0)) = sdtasdt0(sK2(X0),sz10)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f364,f170]) ).
fof(f487,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(sz10,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f364,f179]) ).
fof(f486,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtasdt0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f364,f178]) ).
fof(f364,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) ),
inference(resolution,[],[f181,f152]) ).
fof(f479,plain,
! [X0,X1] :
( sdtasdt0(sK4(X0,X1),sz00) = sdtasdt0(sz00,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f363,f202]) ).
fof(f478,plain,
! [X0] :
( sdtasdt0(sz00,sK3(X0)) = sdtasdt0(sK3(X0),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f363,f175]) ).
fof(f477,plain,
! [X0] :
( sdtasdt0(sz00,sK2(X0)) = sdtasdt0(sK2(X0),sz00)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f363,f170]) ).
fof(f473,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f363,f179]) ).
fof(f472,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f363,f178]) ).
fof(f363,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) ),
inference(resolution,[],[f181,f151]) ).
fof(f468,plain,
! [X0,X1] :
( sdtpldt0(sK4(X0,X1),sz10) = sdtpldt0(sz10,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f342,f202]) ).
fof(f467,plain,
! [X0] :
( sdtpldt0(sK3(X0),sz10) = sdtpldt0(sz10,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f342,f175]) ).
fof(f466,plain,
! [X0] :
( sdtpldt0(sK2(X0),sz10) = sdtpldt0(sz10,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f342,f170]) ).
fof(f462,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f342,f179]) ).
fof(f461,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f342,f178]) ).
fof(f342,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) ),
inference(resolution,[],[f180,f152]) ).
fof(f454,plain,
! [X0,X1] :
( sdtpldt0(sK4(X0,X1),sz00) = sdtpldt0(sz00,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f341,f202]) ).
fof(f453,plain,
! [X0] :
( sdtpldt0(sz00,sK3(X0)) = sdtpldt0(sK3(X0),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f341,f175]) ).
fof(f452,plain,
! [X0] :
( sdtpldt0(sz00,sK2(X0)) = sdtpldt0(sK2(X0),sz00)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f341,f170]) ).
fof(f448,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f341,f179]) ).
fof(f447,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f341,f178]) ).
fof(f341,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) ),
inference(resolution,[],[f180,f151]) ).
fof(f444,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK4(X0,X1),xp) = sdtasdt0(xp,sK4(X0,X1)) ),
inference(resolution,[],[f202,f369]) ).
fof(f443,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK4(X0,X1),xm) = sdtasdt0(xm,sK4(X0,X1)) ),
inference(resolution,[],[f202,f368]) ).
fof(f442,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK4(X0,X1),xn) = sdtasdt0(xn,sK4(X0,X1)) ),
inference(resolution,[],[f202,f367]) ).
fof(f441,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK4(X0,X1),xp) = sdtpldt0(xp,sK4(X0,X1)) ),
inference(resolution,[],[f202,f347]) ).
fof(f440,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK4(X0,X1),xm) = sdtpldt0(xm,sK4(X0,X1)) ),
inference(resolution,[],[f202,f346]) ).
fof(f439,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(xn,sK4(X0,X1)) = sdtpldt0(sK4(X0,X1),xn) ),
inference(resolution,[],[f202,f345]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK4(X0,X1)) = sdtasdt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f202,f181]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK4(X0,X1)) = sdtpldt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f202,f180]) ).
fof(f436,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sz10,sK4(X0,X1)) ),
inference(resolution,[],[f202,f160]) ).
fof(f435,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sK4(X0,X1),sz10) ),
inference(resolution,[],[f202,f159]) ).
fof(f434,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) ),
inference(resolution,[],[f202,f158]) ).
fof(f433,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) ),
inference(resolution,[],[f202,f157]) ).
fof(f432,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) ),
inference(resolution,[],[f202,f156]) ).
fof(f431,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) ),
inference(resolution,[],[f202,f155]) ).
fof(f202,plain,
! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f133,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f428,plain,
! [X0] :
( sdtasdt0(sK3(X0),xp) = sdtasdt0(xp,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f369,f175]) ).
fof(f427,plain,
! [X0] :
( sdtasdt0(sK2(X0),xp) = sdtasdt0(xp,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f369,f170]) ).
fof(f423,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f369,f179]) ).
fof(f422,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtasdt0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f369,f178]) ).
fof(f369,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) ),
inference(resolution,[],[f181,f148]) ).
fof(f414,plain,
sdtasdt0(xp,xm) = sdtasdt0(xm,xp),
inference(resolution,[],[f368,f148]) ).
fof(f416,plain,
! [X0] :
( sdtasdt0(sK3(X0),xm) = sdtasdt0(xm,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f368,f175]) ).
fof(f415,plain,
! [X0] :
( sdtasdt0(sK2(X0),xm) = sdtasdt0(xm,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f368,f170]) ).
fof(f411,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f368,f179]) ).
fof(f410,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f368,f178]) ).
fof(f368,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) ),
inference(resolution,[],[f181,f147]) ).
fof(f401,plain,
sdtasdt0(xp,xn) = sdtasdt0(xn,xp),
inference(resolution,[],[f367,f148]) ).
fof(f400,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[],[f367,f147]) ).
fof(f403,plain,
! [X0] :
( sdtasdt0(sK3(X0),xn) = sdtasdt0(xn,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f367,f175]) ).
fof(f402,plain,
! [X0] :
( sdtasdt0(sK2(X0),xn) = sdtasdt0(xn,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f367,f170]) ).
fof(f398,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f367,f179]) ).
fof(f397,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f367,f178]) ).
fof(f367,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f181,f146]) ).
fof(f385,plain,
sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10),
inference(resolution,[],[f347,f152]) ).
fof(f392,plain,
! [X0] :
( sdtpldt0(sK3(X0),xp) = sdtpldt0(xp,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f347,f175]) ).
fof(f391,plain,
! [X0] :
( sdtpldt0(sK2(X0),xp) = sdtpldt0(xp,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f347,f170]) ).
fof(f387,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f347,f179]) ).
fof(f386,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f347,f178]) ).
fof(f347,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(xp,X0) ),
inference(resolution,[],[f180,f148]) ).
fof(f378,plain,
sdtpldt0(xp,xm) = sdtpldt0(xm,xp),
inference(resolution,[],[f346,f148]) ).
fof(f373,plain,
sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10),
inference(resolution,[],[f346,f152]) ).
fof(f380,plain,
! [X0] :
( sdtpldt0(sK3(X0),xm) = sdtpldt0(xm,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f346,f175]) ).
fof(f379,plain,
! [X0] :
( sdtpldt0(sK2(X0),xm) = sdtpldt0(xm,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f346,f170]) ).
fof(f375,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f346,f179]) ).
fof(f374,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f346,f178]) ).
fof(f346,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xm) = sdtpldt0(xm,X0) ),
inference(resolution,[],[f180,f147]) ).
fof(f371,plain,
! [X0,X1] :
( sdtasdt0(X0,sK3(X1)) = sdtasdt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f181,f175]) ).
fof(f370,plain,
! [X0,X1] :
( sdtasdt0(X0,sK2(X1)) = sdtasdt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ),
inference(resolution,[],[f181,f170]) ).
fof(f366,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f181,f179]) ).
fof(f365,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f181,f178]) ).
fof(f181,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f356,plain,
sdtpldt0(xn,xp) = sdtpldt0(xp,xn),
inference(resolution,[],[f345,f148]) ).
fof(f355,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(resolution,[],[f345,f147]) ).
fof(f351,plain,
sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn),
inference(resolution,[],[f345,f152]) ).
fof(f358,plain,
! [X0] :
( sdtpldt0(xn,sK3(X0)) = sdtpldt0(sK3(X0),xn)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f345,f175]) ).
fof(f357,plain,
! [X0] :
( sdtpldt0(xn,sK2(X0)) = sdtpldt0(sK2(X0),xn)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f345,f170]) ).
fof(f353,plain,
! [X0,X1] :
( sdtpldt0(xn,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f345,f179]) ).
fof(f352,plain,
! [X0,X1] :
( sdtpldt0(xn,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f345,f178]) ).
fof(f345,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(X0,xn) ),
inference(resolution,[],[f180,f146]) ).
fof(f349,plain,
! [X0,X1] :
( sdtpldt0(X0,sK3(X1)) = sdtpldt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f180,f175]) ).
fof(f348,plain,
! [X0,X1] :
( sdtpldt0(X0,sK2(X1)) = sdtpldt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ),
inference(resolution,[],[f180,f170]) ).
fof(f344,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f180,f179]) ).
fof(f343,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f180,f178]) ).
fof(f180,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f177,plain,
! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f64,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( sz10 != X0
& sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(f340,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) ),
inference(resolution,[],[f175,f155]) ).
fof(f339,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) ),
inference(resolution,[],[f175,f156]) ).
fof(f338,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) ),
inference(resolution,[],[f175,f157]) ).
fof(f337,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) ),
inference(resolution,[],[f175,f158]) ).
fof(f336,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) ),
inference(resolution,[],[f175,f159]) ).
fof(f335,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) ),
inference(resolution,[],[f175,f160]) ).
fof(f175,plain,
! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f334,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) ),
inference(resolution,[],[f170,f155]) ).
fof(f333,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) ),
inference(resolution,[],[f170,f156]) ).
fof(f332,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) ),
inference(resolution,[],[f170,f157]) ).
fof(f331,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) ),
inference(resolution,[],[f170,f158]) ).
fof(f330,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) ),
inference(resolution,[],[f170,f159]) ).
fof(f329,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) ),
inference(resolution,[],[f170,f160]) ).
fof(f170,plain,
! [X0] :
( aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( sP0(X0)
| ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f123,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f324,plain,
sdtlseqdt0(xn,xp),
inference(subsumption_resolution,[],[f323,f146]) ).
fof(f323,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn) ),
inference(subsumption_resolution,[],[f316,f148]) ).
fof(f316,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f183,f143]) ).
fof(f162,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f322,plain,
sdtlseqdt0(xm,xp),
inference(subsumption_resolution,[],[f321,f147]) ).
fof(f321,plain,
( sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f315,f148]) ).
fof(f315,plain,
( sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f183,f142]) ).
fof(f328,plain,
sdtlseqdt0(xn,xp),
inference(subsumption_resolution,[],[f327,f148]) ).
fof(f327,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f318,f146]) ).
fof(f318,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f183,f143]) ).
fof(f326,plain,
sdtlseqdt0(xm,xp),
inference(subsumption_resolution,[],[f325,f148]) ).
fof(f325,plain,
( sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f317,f147]) ).
fof(f317,plain,
( sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f183,f142]) ).
fof(f183,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f296,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ),
inference(resolution,[],[f179,f155]) ).
fof(f295,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f179,f156]) ).
fof(f294,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ),
inference(resolution,[],[f179,f157]) ).
fof(f293,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f179,f158]) ).
fof(f292,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ),
inference(resolution,[],[f179,f159]) ).
fof(f291,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f179,f160]) ).
fof(f179,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f280,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ),
inference(resolution,[],[f178,f155]) ).
fof(f278,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ),
inference(resolution,[],[f178,f157]) ).
fof(f277,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f178,f158]) ).
fof(f276,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ),
inference(resolution,[],[f178,f159]) ).
fof(f275,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f178,f160]) ).
fof(f178,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f266,plain,
sz10 = sdtasdt0(sz10,sz10),
inference(resolution,[],[f159,f152]) ).
fof(f274,plain,
xp = sdtasdt0(sz10,xp),
inference(resolution,[],[f160,f148]) ).
fof(f273,plain,
xm = sdtasdt0(sz10,xm),
inference(resolution,[],[f160,f147]) ).
fof(f272,plain,
xn = sdtasdt0(sz10,xn),
inference(resolution,[],[f160,f146]) ).
fof(f269,plain,
xp = sdtasdt0(xp,sz10),
inference(resolution,[],[f159,f148]) ).
fof(f268,plain,
xm = sdtasdt0(xm,sz10),
inference(resolution,[],[f159,f147]) ).
fof(f271,plain,
sz10 = sdtasdt0(sz10,sz10),
inference(resolution,[],[f160,f152]) ).
fof(f160,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f267,plain,
xn = sdtasdt0(xn,sz10),
inference(resolution,[],[f159,f146]) ).
fof(f159,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f56]) ).
fof(f261,plain,
sz10 = sdtpldt0(sz00,sz10),
inference(resolution,[],[f158,f152]) ).
fof(f256,plain,
sz10 = sdtpldt0(sz10,sz00),
inference(resolution,[],[f157,f152]) ).
fof(f255,plain,
sz00 = sdtpldt0(sz00,sz00),
inference(resolution,[],[f157,f151]) ).
fof(f264,plain,
xp = sdtpldt0(sz00,xp),
inference(resolution,[],[f158,f148]) ).
fof(f263,plain,
xm = sdtpldt0(sz00,xm),
inference(resolution,[],[f158,f147]) ).
fof(f262,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f158,f146]) ).
fof(f259,plain,
xp = sdtpldt0(xp,sz00),
inference(resolution,[],[f157,f148]) ).
fof(f258,plain,
xm = sdtpldt0(xm,sz00),
inference(resolution,[],[f157,f147]) ).
fof(f260,plain,
sz00 = sdtpldt0(sz00,sz00),
inference(resolution,[],[f158,f151]) ).
fof(f158,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f257,plain,
xn = sdtpldt0(xn,sz00),
inference(resolution,[],[f157,f146]) ).
fof(f157,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f251,plain,
sz00 = sdtasdt0(sz00,sz10),
inference(resolution,[],[f156,f152]) ).
fof(f246,plain,
sz00 = sdtasdt0(sz10,sz00),
inference(resolution,[],[f155,f152]) ).
fof(f245,plain,
sz00 = sdtasdt0(sz00,sz00),
inference(resolution,[],[f155,f151]) ).
fof(f254,plain,
sz00 = sdtasdt0(sz00,xp),
inference(resolution,[],[f156,f148]) ).
fof(f253,plain,
sz00 = sdtasdt0(sz00,xm),
inference(resolution,[],[f156,f147]) ).
fof(f252,plain,
sz00 = sdtasdt0(sz00,xn),
inference(resolution,[],[f156,f146]) ).
fof(f249,plain,
sz00 = sdtasdt0(xp,sz00),
inference(resolution,[],[f155,f148]) ).
fof(f248,plain,
sz00 = sdtasdt0(xm,sz00),
inference(resolution,[],[f155,f147]) ).
fof(f250,plain,
sz00 = sdtasdt0(sz00,sz00),
inference(resolution,[],[f156,f151]) ).
fof(f156,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f247,plain,
sz00 = sdtasdt0(xn,sz00),
inference(resolution,[],[f155,f146]) ).
fof(f155,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f54]) ).
fof(f238,plain,
! [X0] :
( ~ sP0(X0)
| isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f166,f174]) ).
fof(f242,plain,
~ isPrime0(sz00),
inference(subsumption_resolution,[],[f240,f151]) ).
fof(f240,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(resolution,[],[f237,f224]) ).
fof(f241,plain,
~ isPrime0(sz10),
inference(subsumption_resolution,[],[f239,f152]) ).
fof(f239,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(resolution,[],[f237,f223]) ).
fof(f237,plain,
! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f165,f174]) ).
fof(f166,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| isPrime0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( ( isPrime0(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ isPrime0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( isPrime0(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f165,plain,
! [X0] :
( ~ sP1(X0)
| ~ isPrime0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f154,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f145,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f174,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f62,f118,f117]) ).
fof(f62,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f153,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f143,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f142,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f141,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ~ doDivides0(xp,xm)
& ~ doDivides0(xp,xn) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,negated_conjecture,
~ ( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f140,plain,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f49]) ).
fof(f224,plain,
~ sP0(sz00),
inference(equality_resolution,[],[f167]) ).
fof(f167,plain,
! [X0] :
( sz00 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f223,plain,
~ sP0(sz10),
inference(equality_resolution,[],[f168]) ).
fof(f168,plain,
! [X0] :
( sz10 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f152,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f148,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f147,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f146,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f144,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f220,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f221,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f219,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f218,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f217,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f216,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f236,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption,[],[f141,f140,f142,f143,f145,f144,f148,f147,f146,f149,f150,f151,f153,f152,f154,f156,f155,f158,f157,f160,f159,f162,f164,f163,f166,f165,f173,f172,f171,f170,f169,f223,f224,f174,f177,f176,f175,f178,f179,f180,f181,f183,f234,f184,f226,f227,f228,f189,f188,f190,f191,f195,f194,f193,f192,f196,f229,f230,f231,f200,f201,f232,f203,f202,f233,f206,f205,f208,f209,f211,f210,f215,f214,f235,f213,f212]) ).
fof(f212,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& sz00 != X0 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f213,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f235,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption,[],[f141,f140,f142,f143,f145,f144,f148,f147,f146,f149,f150,f151,f153,f152,f154,f156,f155,f158,f157,f160,f159,f162,f164,f163,f166,f165,f173,f172,f171,f170,f169,f223,f224,f174,f177,f176,f175,f178,f179,f180,f181,f183,f234,f184,f226,f227,f228,f189,f188,f190,f191,f195,f194,f193,f192,f196,f229,f230,f231,f200,f201,f232,f203,f202,f233,f206,f205,f208,f209,f211,f210,f215,f214]) ).
fof(f214,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f215,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f210,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,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)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,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)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(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/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f211,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f209,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f208,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f206,plain,
! [X0,X1] :
( sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f233,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f207]) ).
fof(f207,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f203,plain,
! [X0,X1] :
( sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f232,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f201,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f200,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sz00 != X1
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f231,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f197]) ).
fof(f197,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f230,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f229,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f196,plain,
! [X2,X0,X1] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f192,plain,
! [X2,X0,X1] :
( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f193,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f195,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f191,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f190,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f188,plain,
! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtpldt0(X0,X1)
=> ( sz00 = X1
& sz00 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f189,plain,
! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f227,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f226,plain,
! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f187]) ).
fof(f187,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f184,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f234,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f225,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( X0 != X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f176,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f169,plain,
! [X2,X0] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f171,plain,
! [X0] :
( sP0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f172,plain,
! [X0] :
( sP0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f173,plain,
! [X0] :
( sP0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f163,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != X0
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f164,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f150,plain,
! [X2,X0,X1] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(f149,plain,
( ~ sdtlseqdt0(xm,xp)
| xm = xp
| ~ sdtlseqdt0(xn,xp)
| xn = xp ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ~ sdtlseqdt0(xm,xp)
| xm = xp
| ~ sdtlseqdt0(xn,xp)
| xn = xp ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
~ ( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f599,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f598,plain,
( $false
| spl6_1
| ~ spl6_2 ),
inference(global_subsumption,[],[f593,f149,f150,f164,f163,f173,f172,f171,f169,f176,f234,f184,f226,f227,f189,f188,f190,f191,f195,f194,f193,f192,f196,f229,f230,f231,f200,f201,f232,f203,f233,f206,f208,f209,f211,f210,f215,f214,f235,f213,f212,f236,f216,f217,f218,f219,f221,f220,f144,f146,f147,f148,f151,f152,f223,f224,f140,f141,f142,f143,f153,f174,f145,f154,f165,f166,f237,f241,f242,f238,f155,f247,f156,f250,f248,f249,f252,f253,f254,f245,f246,f251,f157,f257,f158,f260,f258,f259,f262,f263,f264,f255,f256,f261,f159,f267,f160,f271,f268,f269,f272,f273,f274,f266,f178,f275,f276,f277,f278,f280,f179,f291,f292,f293,f294,f295,f296,f183,f326,f328,f322,f162,f324,f170,f329,f330,f331,f332,f333,f334,f175,f335,f336,f337,f338,f339,f340,f177,f180,f343,f344,f348,f349,f345,f352,f353,f357,f358,f351,f355,f356,f181,f365,f366,f370,f371,f346,f374,f375,f379,f380,f373,f378,f347,f386,f387,f391,f392,f385,f367,f397,f398,f402,f403,f400,f401,f368,f410,f411,f415,f416,f414,f369,f422,f423,f427,f428,f202,f431,f432,f433,f434,f435,f436,f437,f438,f439,f440,f441,f442,f443,f444,f341,f447,f448,f452,f453,f454,f342,f461,f462,f466,f467,f468,f363,f472,f473,f477,f478,f479,f364,f486,f487,f491,f492,f493,f205,f498,f499,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f228,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f529,f530,f531,f532,f533,f279,f534,f535,f536,f537,f538,f540,f541,f542,f543,f544,f545,f539,f559,f548,f549,f550,f554,f555,f556,f557,f551,f552,f553,f564,f572,f574,f575,f576,f577,f578,f579,f587,f588]) ).
fof(f588,plain,
( sdtlseqdt0(xn,xm)
| ~ spl6_2 ),
inference(superposition,[],[f324,f572]) ).
fof(f587,plain,
( sdtlseqdt0(xm,xm)
| ~ spl6_2 ),
inference(superposition,[],[f322,f572]) ).
fof(f579,plain,
( doDivides0(xm,sdtasdt0(xn,xm))
| ~ spl6_2 ),
inference(superposition,[],[f145,f572]) ).
fof(f578,plain,
( isPrime0(xm)
| ~ spl6_2 ),
inference(superposition,[],[f144,f572]) ).
fof(f577,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ spl6_2 ),
inference(superposition,[],[f143,f572]) ).
fof(f576,plain,
( ~ sdtlseqdt0(xm,xm)
| ~ spl6_2 ),
inference(superposition,[],[f142,f572]) ).
fof(f575,plain,
( ~ doDivides0(xm,xm)
| ~ spl6_2 ),
inference(superposition,[],[f141,f572]) ).
fof(f574,plain,
( ~ doDivides0(xm,xn)
| ~ spl6_2 ),
inference(superposition,[],[f140,f572]) ).
fof(f572,plain,
( xm = xp
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl6_2
<=> xm = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f593,plain,
( xn != xm
| spl6_1
| ~ spl6_2 ),
inference(superposition,[],[f567,f572]) ).
fof(f567,plain,
( xn != xp
| spl6_1 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f597,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f596,plain,
( $false
| ~ spl6_2 ),
inference(global_subsumption,[],[f149,f150,f164,f163,f173,f172,f171,f169,f176,f234,f184,f226,f227,f189,f188,f190,f191,f195,f194,f193,f192,f196,f229,f230,f231,f200,f201,f232,f203,f233,f206,f208,f209,f211,f210,f215,f214,f235,f213,f212,f236,f216,f217,f218,f219,f221,f220,f144,f146,f147,f148,f151,f152,f223,f224,f140,f141,f142,f143,f153,f174,f145,f154,f165,f166,f237,f241,f242,f238,f155,f247,f156,f250,f248,f249,f252,f253,f254,f245,f246,f251,f157,f257,f158,f260,f258,f259,f262,f263,f264,f255,f256,f261,f159,f267,f160,f271,f268,f269,f272,f273,f274,f266,f178,f275,f276,f277,f278,f280,f179,f291,f292,f293,f294,f295,f296,f183,f326,f328,f322,f162,f324,f170,f329,f330,f331,f332,f333,f334,f175,f335,f336,f337,f338,f339,f340,f177,f180,f343,f344,f348,f349,f345,f352,f353,f357,f358,f351,f355,f356,f181,f365,f366,f370,f371,f346,f374,f375,f379,f380,f373,f378,f347,f386,f387,f391,f392,f385,f367,f397,f398,f402,f403,f400,f401,f368,f410,f411,f415,f416,f414,f369,f422,f423,f427,f428,f202,f431,f432,f433,f434,f435,f436,f437,f438,f439,f440,f441,f442,f443,f444,f341,f447,f448,f452,f453,f454,f342,f461,f462,f466,f467,f468,f363,f472,f473,f477,f478,f479,f364,f486,f487,f491,f492,f493,f205,f498,f499,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f228,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f529,f530,f531,f532,f533,f279,f534,f535,f536,f537,f538,f540,f541,f542,f543,f544,f545,f539,f559,f548,f549,f550,f554,f555,f556,f557,f551,f552,f553,f564,f572,f574,f575,f576,f577,f578,f579,f587,f588]) ).
fof(f595,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f594,plain,
( $false
| ~ spl6_2 ),
inference(global_subsumption,[],[f149,f150,f164,f163,f173,f172,f171,f169,f176,f234,f184,f226,f227,f189,f188,f190,f191,f195,f194,f193,f192,f196,f229,f230,f231,f200,f201,f232,f203,f233,f206,f208,f209,f211,f210,f215,f214,f235,f213,f212,f236,f216,f217,f218,f219,f221,f220,f144,f146,f147,f148,f151,f152,f223,f224,f140,f141,f142,f143,f153,f174,f145,f154,f165,f166,f237,f241,f242,f238,f155,f247,f156,f250,f248,f249,f252,f253,f254,f245,f246,f251,f157,f257,f158,f260,f258,f259,f262,f263,f264,f255,f256,f261,f159,f267,f160,f271,f268,f269,f272,f273,f274,f266,f178,f275,f276,f277,f278,f280,f179,f291,f292,f293,f294,f295,f296,f183,f326,f328,f322,f162,f324,f170,f329,f330,f331,f332,f333,f334,f175,f335,f336,f337,f338,f339,f340,f177,f180,f343,f344,f348,f349,f345,f352,f353,f357,f358,f351,f355,f356,f181,f365,f366,f370,f371,f346,f374,f375,f379,f380,f373,f378,f347,f386,f387,f391,f392,f385,f367,f397,f398,f402,f403,f400,f401,f368,f410,f411,f415,f416,f414,f369,f422,f423,f427,f428,f202,f431,f432,f433,f434,f435,f436,f437,f438,f439,f440,f441,f442,f443,f444,f341,f447,f448,f452,f453,f454,f342,f461,f462,f466,f467,f468,f363,f472,f473,f477,f478,f479,f364,f486,f487,f491,f492,f493,f205,f498,f499,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f228,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f529,f530,f531,f532,f533,f279,f534,f535,f536,f537,f538,f540,f541,f542,f543,f544,f545,f539,f559,f548,f549,f550,f554,f555,f556,f557,f551,f552,f553,f564,f572,f574,f575,f576,f577,f578,f579,f587]) ).
fof(f573,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f564,f570,f566]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM521+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 15:17:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (6722)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (6725)WARNING: value z3 for option sas not known
% 0.14/0.38 % (6723)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (6725)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (6724)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (6726)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (6727)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (6728)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (6729)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 % (6725)First to succeed.
% 0.14/0.40 TRYING [4]
% 0.14/0.41 % (6725)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6722"
% 0.14/0.41 TRYING [4]
% 0.14/0.41 % (6725)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (6725)------------------------------
% 0.21/0.41 % (6725)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41 % (6725)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (6725)Memory used [KB]: 1144
% 0.21/0.41 % (6725)Time elapsed: 0.028 s
% 0.21/0.41 % (6725)Instructions burned: 47 (million)
% 0.21/0.41 % (6722)Success in time 0.047 s
%------------------------------------------------------------------------------