TSTP Solution File: NUM447+5 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM447+5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:05:10 EDT 2022
% Result : Theorem 7.09s 1.29s
% Output : Refutation 7.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 158
% Syntax : Number of formulae : 671 ( 14 unt; 0 def)
% Number of atoms : 2351 ( 466 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 2743 (1063 ~;1172 |; 330 &)
% ( 140 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 146 ( 144 usr; 137 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-2 aty)
% Number of variables : 432 ( 359 !; 73 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1492,plain,
$false,
inference(avatar_smt_refutation,[],[f452,f456,f465,f469,f474,f479,f486,f494,f499,f504,f509,f510,f511,f512,f513,f514,f515,f519,f523,f528,f529,f534,f535,f540,f541,f542,f546,f550,f558,f562,f563,f564,f568,f569,f571,f572,f573,f577,f578,f579,f580,f581,f582,f583,f588,f589,f593,f594,f595,f597,f598,f599,f600,f601,f624,f625,f626,f653,f658,f663,f669,f675,f680,f688,f693,f694,f703,f709,f715,f716,f727,f744,f756,f758,f769,f788,f792,f794,f809,f814,f820,f822,f829,f837,f851,f856,f861,f866,f871,f906,f911,f916,f921,f935,f940,f945,f959,f964,f969,f975,f977,f995,f1000,f1005,f1010,f1015,f1029,f1034,f1039,f1044,f1049,f1054,f1060,f1065,f1083,f1088,f1093,f1098,f1103,f1108,f1143,f1152,f1167,f1173,f1178,f1183,f1188,f1193,f1213,f1225,f1234,f1248,f1253,f1258,f1263,f1268,f1273,f1278,f1287,f1291,f1295,f1299,f1313,f1318,f1323,f1328,f1333,f1338,f1345,f1361,f1366,f1371,f1376,f1381,f1386,f1391,f1397,f1411,f1416,f1422,f1433,f1437,f1443,f1448,f1460,f1461,f1476,f1481,f1491]) ).
fof(f1491,plain,
( ~ spl20_9
| spl20_136 ),
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1490,plain,
( $false
| ~ spl20_9
| spl20_136 ),
inference(resolution,[],[f1480,f482]) ).
fof(f482,plain,
( ! [X0] : aElementOf0(X0,cS2043)
| ~ spl20_9 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl20_9
<=> ! [X0] : aElementOf0(X0,cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
fof(f1480,plain,
( ~ aElementOf0(cS2043,cS2043)
| spl20_136 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f1478,plain,
( spl20_136
<=> aElementOf0(cS2043,cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_136])]) ).
fof(f1481,plain,
( ~ spl20_136
| ~ spl20_6
| ~ spl20_9 ),
inference(avatar_split_clause,[],[f1474,f481,f467,f1478]) ).
fof(f467,plain,
( spl20_6
<=> ! [X3] :
( ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,cS2043) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f1474,plain,
( ~ aElementOf0(cS2043,cS2043)
| ~ spl20_6
| ~ spl20_9 ),
inference(resolution,[],[f482,f468]) ).
fof(f468,plain,
( ! [X3] :
( ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,cS2043) )
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f1476,plain,
( ~ spl20_9
| spl20_14 ),
inference(avatar_contradiction_clause,[],[f1475]) ).
fof(f1475,plain,
( $false
| ~ spl20_9
| spl20_14 ),
inference(resolution,[],[f482,f502]) ).
fof(f502,plain,
( ~ aElementOf0(sK16,cS2043)
| spl20_14 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl20_14
<=> aElementOf0(sK16,cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f1461,plain,
( ~ spl20_9
| spl20_46 ),
inference(avatar_contradiction_clause,[],[f1459]) ).
fof(f1459,plain,
( $false
| ~ spl20_9
| spl20_46 ),
inference(resolution,[],[f617,f775]) ).
fof(f775,plain,
( ~ aInteger0(sK7(sK16,xn))
| spl20_46 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f773,plain,
( spl20_46
<=> aInteger0(sK7(sK16,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_46])]) ).
fof(f617,plain,
( ! [X0] : aInteger0(X0)
| ~ spl20_9 ),
inference(resolution,[],[f612,f482]) ).
fof(f612,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,X1)
| aInteger0(X0) )
| ~ spl20_9 ),
inference(resolution,[],[f606,f482]) ).
fof(f606,plain,
( ! [X0,X6] :
( ~ aElementOf0(X0,cS2043)
| aInteger0(X6)
| ~ aElementOf0(X6,X0) )
| ~ spl20_9 ),
inference(backward_demodulation,[],[f382,f604]) ).
fof(f604,plain,
( ! [X0] : szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)) = X0
| ~ spl20_9 ),
inference(resolution,[],[f379,f482]) ).
fof(f379,plain,
! [X0] :
( ~ aElementOf0(X0,cS2043)
| szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)) = X0 ),
inference(definition_unfolding,[],[f227,f241]) ).
fof(f241,plain,
xS = cS2043,
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( xS = cS2043
& ! [X0] :
( ( ! [X1] :
( ~ isPrime0(X1)
| ( ! [X2] :
( ( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,sK5(X1,X2))
& aInteger0(sK5(X1,X2))
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ! [X4] :
( sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0 )
| sz00 = X1
| ~ aInteger0(X1) )
| aElementOf0(X0,xS) )
& ( ~ aElementOf0(X0,xS)
| ( isPrime0(sK6(X0))
& aInteger0(sK6(X0))
& sz00 != sK6(X0)
& szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)))
& ! [X6] :
( ( ( sdteqdtlpzmzozddtrp0(X6,sz00,sK6(X0))
& aInteger0(X6)
& sdtasdt0(sK6(X0),sK7(X0,X6)) = sdtpldt0(X6,smndt0(sz00))
& aInteger0(sK7(X0,X6))
& aDivisorOf0(sK6(X0),sdtpldt0(X6,smndt0(sz00))) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,sK6(X0))
& ! [X8] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(sK6(X0),X8)
| ~ aInteger0(X8) )
& ~ aDivisorOf0(sK6(X0),sdtpldt0(X6,smndt0(sz00))) ) ) ) ) ) )
& aSet0(xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f137,f140,f139,f138]) ).
fof(f138,plain,
! [X1,X2] :
( ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
=> ( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,sK5(X1,X2))
& aInteger0(sK5(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0] :
( ? [X5] :
( isPrime0(X5)
& aInteger0(X5)
& sz00 != X5
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aInteger0(X6)
& ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ! [X8] :
( sdtasdt0(X5,X8) != sdtpldt0(X6,smndt0(sz00))
| ~ aInteger0(X8) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) ) ) )
=> ( isPrime0(sK6(X0))
& aInteger0(sK6(X0))
& sz00 != sK6(X0)
& szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)))
& ! [X6] :
( ( ( sdteqdtlpzmzozddtrp0(X6,sz00,sK6(X0))
& aInteger0(X6)
& ? [X7] :
( sdtasdt0(sK6(X0),X7) = sdtpldt0(X6,smndt0(sz00))
& aInteger0(X7) )
& aDivisorOf0(sK6(X0),sdtpldt0(X6,smndt0(sz00))) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,sK6(X0))
& ! [X8] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(sK6(X0),X8)
| ~ aInteger0(X8) )
& ~ aDivisorOf0(sK6(X0),sdtpldt0(X6,smndt0(sz00))) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0,X6] :
( ? [X7] :
( sdtasdt0(sK6(X0),X7) = sdtpldt0(X6,smndt0(sz00))
& aInteger0(X7) )
=> ( sdtasdt0(sK6(X0),sK7(X0,X6)) = sdtpldt0(X6,smndt0(sz00))
& aInteger0(sK7(X0,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( xS = cS2043
& ! [X0] :
( ( ! [X1] :
( ~ isPrime0(X1)
| ( ! [X2] :
( ( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ! [X4] :
( sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0 )
| sz00 = X1
| ~ aInteger0(X1) )
| aElementOf0(X0,xS) )
& ( ~ aElementOf0(X0,xS)
| ? [X5] :
( isPrime0(X5)
& aInteger0(X5)
& sz00 != X5
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aInteger0(X6)
& ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ! [X8] :
( sdtasdt0(X5,X8) != sdtpldt0(X6,smndt0(sz00))
| ~ aInteger0(X8) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) ) ) ) ) )
& aSet0(xS) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
( xS = cS2043
& ! [X0] :
( ( ! [X5] :
( ~ isPrime0(X5)
| ( ! [X6] :
( ( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) )
& aInteger0(X6)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ! [X8] :
( sdtasdt0(X5,X8) != sdtpldt0(X6,smndt0(sz00))
| ~ aInteger0(X8) )
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0 )
| sz00 = X5
| ~ aInteger0(X5) )
| aElementOf0(X0,xS) )
& ( ~ aElementOf0(X0,xS)
| ? [X1] :
( isPrime0(X1)
& aInteger0(X1)
& sz00 != X1
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aInteger0(X2)
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ! [X4] :
( sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) ) ) ) ) )
& aSet0(xS) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
( ! [X0] :
( ( ? [X1] :
( isPrime0(X1)
& sz00 != X1
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ! [X4] :
( sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aInteger0(X2)
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aInteger0(X1) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) )
& aInteger0(X6)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ! [X8] :
( sdtasdt0(X5,X8) != sdtpldt0(X6,smndt0(sz00))
| ~ aInteger0(X8) )
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) ) ) )
| sz00 = X5
| ~ aInteger0(X5)
| ~ isPrime0(X5) ) ) )
& aSet0(xS)
& xS = cS2043 ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
( ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( isPrime0(X1)
& sz00 != X1
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( ( ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aInteger0(X2)
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) ) )
& aInteger0(X1) ) )
& ( ? [X5] :
( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
=> ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) )
& aInteger0(X6)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) )
& ( ( aInteger0(X6)
& ( ? [X8] :
( sdtasdt0(X5,X8) = sdtpldt0(X6,smndt0(sz00))
& aInteger0(X8) )
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0 )
& sz00 != X5
& aInteger0(X5)
& isPrime0(X5) )
=> aElementOf0(X0,xS) ) )
& aSet0(xS)
& xS = cS2043 ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aInteger0(X2)
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) )
& ( ( aInteger0(X2)
& ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) ) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& aInteger0(X1)
& sz00 != X1
& isPrime0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 ) )
& ( ? [X1] :
( sz00 != X1
& aInteger0(X1)
& ( ( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) )
& ( ( ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
| sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
& isPrime0(X1) )
=> aElementOf0(X0,xS) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2046) ).
fof(f227,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)) = X0 ),
inference(cnf_transformation,[],[f141]) ).
fof(f382,plain,
! [X0,X6] :
( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)))
| aInteger0(X6)
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f224,f241]) ).
fof(f224,plain,
! [X0,X6] :
( ~ aElementOf0(X0,xS)
| aInteger0(X6)
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1460,plain,
( ~ spl20_9
| spl20_44 ),
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1458,plain,
( $false
| ~ spl20_9
| spl20_44 ),
inference(resolution,[],[f617,f754]) ).
fof(f754,plain,
( ~ aInteger0(sK6(sK16))
| spl20_44 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f753,plain,
( spl20_44
<=> aInteger0(sK6(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).
fof(f1448,plain,
( ~ spl20_9
| spl20_39 ),
inference(avatar_contradiction_clause,[],[f1447]) ).
fof(f1447,plain,
( $false
| ~ spl20_9
| spl20_39 ),
inference(resolution,[],[f602,f707]) ).
fof(f707,plain,
( ~ aSet0(sK16)
| spl20_39 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl20_39
<=> aSet0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).
fof(f602,plain,
( ! [X0] : aSet0(X0)
| ~ spl20_9 ),
inference(resolution,[],[f570,f482]) ).
fof(f570,plain,
! [X0] :
( ~ aElementOf0(X0,cS2043)
| aSet0(X0) ),
inference(forward_subsumption_demodulation,[],[f380,f379]) ).
fof(f380,plain,
! [X0] :
( ~ aElementOf0(X0,cS2043)
| aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) ),
inference(definition_unfolding,[],[f226,f241]) ).
fof(f226,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1443,plain,
( ~ spl20_1
| spl20_13
| spl20_135
| ~ spl20_15
| ~ spl20_27
| ~ spl20_38
| ~ spl20_96
| ~ spl20_129 ),
inference(avatar_split_clause,[],[f1438,f1394,f1170,f700,f575,f506,f1440,f496,f446]) ).
fof(f446,plain,
( spl20_1
<=> aInteger0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f496,plain,
( spl20_13
<=> sz00 = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f1440,plain,
( spl20_135
<=> xn = sdtasdt0(sK17,sK5(sK17,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_135])]) ).
fof(f506,plain,
( spl20_15
<=> isPrime0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f575,plain,
( spl20_27
<=> ! [X2,X1] :
( ~ isPrime0(X1)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sz00 = X1
| sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,sK5(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).
fof(f700,plain,
( spl20_38
<=> xn = sdtpldt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).
fof(f1170,plain,
( spl20_96
<=> sz00 = smndt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).
fof(f1394,plain,
( spl20_129
<=> aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_129])]) ).
fof(f1438,plain,
( ~ isPrime0(sK17)
| xn = sdtasdt0(sK17,sK5(sK17,xn))
| sz00 = sK17
| ~ aInteger0(sK17)
| ~ spl20_27
| ~ spl20_38
| ~ spl20_96
| ~ spl20_129 ),
inference(forward_demodulation,[],[f1435,f702]) ).
fof(f702,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl20_38 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f1435,plain,
( ~ aInteger0(sK17)
| sdtasdt0(sK17,sK5(sK17,xn)) = sdtpldt0(xn,sz00)
| sz00 = sK17
| ~ isPrime0(sK17)
| ~ spl20_27
| ~ spl20_96
| ~ spl20_129 ),
inference(resolution,[],[f1396,f1197]) ).
fof(f1197,plain,
( ! [X2,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| sdtasdt0(X1,sK5(X1,X2)) = sdtpldt0(X2,sz00)
| sz00 = X1 )
| ~ spl20_27
| ~ spl20_96 ),
inference(backward_demodulation,[],[f576,f1172]) ).
fof(f1172,plain,
( sz00 = smndt0(sz00)
| ~ spl20_96 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f576,plain,
( ! [X2,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,sK5(X1,X2))
| sz00 = X1
| ~ aInteger0(X1)
| ~ isPrime0(X1) )
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f1396,plain,
( aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| ~ spl20_129 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1437,plain,
( ~ spl20_40
| ~ spl20_6
| ~ spl20_129 ),
inference(avatar_split_clause,[],[f1434,f1394,f467,f712]) ).
fof(f712,plain,
( spl20_40
<=> aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17),cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_40])]) ).
fof(f1434,plain,
( ~ aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17),cS2043)
| ~ spl20_6
| ~ spl20_129 ),
inference(resolution,[],[f1396,f468]) ).
fof(f1433,plain,
( spl20_133
| spl20_134
| ~ spl20_130 ),
inference(avatar_split_clause,[],[f1424,f1408,f1430,f1426]) ).
fof(f1426,plain,
( spl20_133
<=> aElementOf0(sK4(szAzrzSzezqlpdtcmdtrp0(sz00,sK17)),szAzrzSzezqlpdtcmdtrp0(sz00,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_133])]) ).
fof(f1430,plain,
( spl20_134
<=> isOpen0(sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_134])]) ).
fof(f1408,plain,
( spl20_130
<=> aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_130])]) ).
fof(f1424,plain,
( isOpen0(sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17)))
| aElementOf0(sK4(szAzrzSzezqlpdtcmdtrp0(sz00,sK17)),szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| ~ spl20_130 ),
inference(resolution,[],[f1410,f215]) ).
fof(f215,plain,
! [X0] :
( ~ aSet0(X0)
| aElementOf0(sK4(X0),X0)
| isOpen0(sbsmnsldt0(X0)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ aSet0(X0)
| ( ( ~ aSubsetOf0(sK4(X0),cS1395)
| ~ isOpen0(sK4(X0)) )
& aElementOf0(sK4(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f112,f135]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( ( ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X1) )
& aElementOf0(X1,X0) )
=> ( ( ~ aSubsetOf0(sK4(X0),cS1395)
| ~ isOpen0(sK4(X0)) )
& aElementOf0(sK4(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ aSet0(X0)
| ? [X1] :
( ( ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X1) )
& aElementOf0(X1,X0) ) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ? [X1] :
( ( ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X1) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> ( isOpen0(X1)
& aSubsetOf0(X1,cS1395) ) )
& aSet0(X0) )
=> isOpen0(sbsmnsldt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnionOpen) ).
fof(f1410,plain,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| ~ spl20_130 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f1422,plain,
( ~ spl20_1
| spl20_13
| spl20_132
| ~ spl20_15
| ~ spl20_22
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f1418,f1170,f548,f506,f1420,f496,f446]) ).
fof(f1420,plain,
( spl20_132
<=> ! [X4,X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtasdt0(sK17,X4) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_132])]) ).
fof(f548,plain,
( spl20_22
<=> ! [X2,X1,X4] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X1)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4)
| sz00 = X1
| ~ aInteger0(X4)
| ~ aInteger0(X2)
| ~ isPrime0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).
fof(f1418,plain,
( ! [X3,X4] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| ~ aInteger0(X4)
| ~ aInteger0(X3)
| sdtasdt0(sK17,X4) != X3
| sz00 = sK17
| ~ aInteger0(sK17) )
| ~ spl20_15
| ~ spl20_22
| ~ spl20_96 ),
inference(resolution,[],[f1216,f508]) ).
fof(f508,plain,
( isPrime0(sK17)
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f1216,plain,
( ! [X2,X1,X4] :
( ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| sdtasdt0(X1,X4) != X2
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X4)
| ~ aInteger0(X1) )
| ~ spl20_22
| ~ spl20_96 ),
inference(forward_subsumption_demodulation,[],[f1195,f262]) ).
fof(f262,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f1195,plain,
( ! [X2,X1,X4] :
( ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X4)
| sdtasdt0(X1,X4) != sdtpldt0(X2,sz00)
| ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X1) )
| ~ spl20_22
| ~ spl20_96 ),
inference(backward_demodulation,[],[f549,f1172]) ).
fof(f549,plain,
( ! [X2,X1,X4] :
( ~ isPrime0(X1)
| sz00 = X1
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X4)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4) )
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f1416,plain,
( spl20_131
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f1399,f712,f1413]) ).
fof(f1413,plain,
( spl20_131
<=> szAzrzSzezqlpdtcmdtrp0(sz00,sK6(szAzrzSzezqlpdtcmdtrp0(sz00,sK17))) = szAzrzSzezqlpdtcmdtrp0(sz00,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_131])]) ).
fof(f1399,plain,
( szAzrzSzezqlpdtcmdtrp0(sz00,sK6(szAzrzSzezqlpdtcmdtrp0(sz00,sK17))) = szAzrzSzezqlpdtcmdtrp0(sz00,sK17)
| ~ spl20_40 ),
inference(resolution,[],[f714,f379]) ).
fof(f714,plain,
( aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17),cS2043)
| ~ spl20_40 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f1411,plain,
( spl20_130
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f1400,f712,f1408]) ).
fof(f1400,plain,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| ~ spl20_40 ),
inference(resolution,[],[f714,f570]) ).
fof(f1397,plain,
( ~ spl20_1
| ~ spl20_28
| spl20_13
| ~ spl20_15
| spl20_129
| ~ spl20_5
| ~ spl20_25
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f1392,f1170,f560,f462,f1394,f506,f496,f585,f446]) ).
fof(f585,plain,
( spl20_28
<=> aInteger0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
fof(f462,plain,
( spl20_5
<=> aDivisorOf0(sK17,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f560,plain,
( spl20_25
<=> ! [X2,X1] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f1392,plain,
( aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| ~ isPrime0(sK17)
| sz00 = sK17
| ~ aInteger0(xn)
| ~ aInteger0(sK17)
| ~ spl20_5
| ~ spl20_25
| ~ spl20_96 ),
inference(resolution,[],[f1207,f464]) ).
fof(f464,plain,
( aDivisorOf0(sK17,xn)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f1207,plain,
( ! [X2,X1] :
( ~ aDivisorOf0(X1,X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sz00 = X1
| ~ isPrime0(X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) )
| ~ spl20_25
| ~ spl20_96 ),
inference(forward_subsumption_demodulation,[],[f1196,f262]) ).
fof(f1196,plain,
( ! [X2,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sz00 = X1
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,sdtpldt0(X2,sz00)) )
| ~ spl20_25
| ~ spl20_96 ),
inference(backward_demodulation,[],[f561,f1172]) ).
fof(f561,plain,
( ! [X2,X1] :
( ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ~ isPrime0(X1)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sz00 = X1 )
| ~ spl20_25 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f1391,plain,
( spl20_128
| ~ spl20_121 ),
inference(avatar_split_clause,[],[f1350,f1342,f1388]) ).
fof(f1388,plain,
( spl20_128
<=> sz00 = sdtpldt0(smndt0(sK13(xn,sK17)),sK13(xn,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_128])]) ).
fof(f1342,plain,
( spl20_121
<=> aInteger0(sK13(xn,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_121])]) ).
fof(f1350,plain,
( sz00 = sdtpldt0(smndt0(sK13(xn,sK17)),sK13(xn,sK17))
| ~ spl20_121 ),
inference(resolution,[],[f1344,f273]) ).
fof(f273,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( sz00 = sdtpldt0(X0,smndt0(X0))
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(X0,smndt0(X0))
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(f1344,plain,
( aInteger0(sK13(xn,sK17))
| ~ spl20_121 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1386,plain,
( spl20_127
| ~ spl20_121 ),
inference(avatar_split_clause,[],[f1352,f1342,f1383]) ).
fof(f1383,plain,
( spl20_127
<=> sz00 = sdtasdt0(sz00,sK13(xn,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_127])]) ).
fof(f1352,plain,
( sz00 = sdtasdt0(sz00,sK13(xn,sK17))
| ~ spl20_121 ),
inference(resolution,[],[f1344,f286]) ).
fof(f286,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(f1381,plain,
( spl20_126
| ~ spl20_121 ),
inference(avatar_split_clause,[],[f1353,f1342,f1378]) ).
fof(f1378,plain,
( spl20_126
<=> sz00 = sdtasdt0(sK13(xn,sK17),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_126])]) ).
fof(f1353,plain,
( sz00 = sdtasdt0(sK13(xn,sK17),sz00)
| ~ spl20_121 ),
inference(resolution,[],[f1344,f287]) ).
fof(f287,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f101]) ).
fof(f1376,plain,
( spl20_125
| ~ spl20_121 ),
inference(avatar_split_clause,[],[f1351,f1342,f1373]) ).
fof(f1373,plain,
( spl20_125
<=> sz00 = sdtpldt0(sK13(xn,sK17),smndt0(sK13(xn,sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_125])]) ).
fof(f1351,plain,
( sz00 = sdtpldt0(sK13(xn,sK17),smndt0(sK13(xn,sK17)))
| ~ spl20_121 ),
inference(resolution,[],[f1344,f274]) ).
fof(f274,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f1371,plain,
( spl20_124
| ~ spl20_121 ),
inference(avatar_split_clause,[],[f1349,f1342,f1368]) ).
fof(f1368,plain,
( spl20_124
<=> sK13(xn,sK17) = sdtpldt0(sz00,sK13(xn,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_124])]) ).
fof(f1349,plain,
( sK13(xn,sK17) = sdtpldt0(sz00,sK13(xn,sK17))
| ~ spl20_121 ),
inference(resolution,[],[f1344,f263]) ).
fof(f263,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f1366,plain,
( spl20_123
| ~ spl20_121 ),
inference(avatar_split_clause,[],[f1348,f1342,f1363]) ).
fof(f1363,plain,
( spl20_123
<=> sK13(xn,sK17) = sdtpldt0(sK13(xn,sK17),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_123])]) ).
fof(f1348,plain,
( sK13(xn,sK17) = sdtpldt0(sK13(xn,sK17),sz00)
| ~ spl20_121 ),
inference(resolution,[],[f1344,f262]) ).
fof(f1361,plain,
( spl20_122
| ~ spl20_121 ),
inference(avatar_split_clause,[],[f1355,f1342,f1358]) ).
fof(f1358,plain,
( spl20_122
<=> sdtasdt0(smndt0(sz10),sK13(xn,sK17)) = smndt0(sK13(xn,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_122])]) ).
fof(f1355,plain,
( sdtasdt0(smndt0(sz10),sK13(xn,sK17)) = smndt0(sK13(xn,sK17))
| ~ spl20_121 ),
inference(resolution,[],[f1344,f316]) ).
fof(f316,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aInteger0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f1345,plain,
( spl20_121
| ~ spl20_28
| ~ spl20_5 ),
inference(avatar_split_clause,[],[f1339,f462,f585,f1342]) ).
fof(f1339,plain,
( ~ aInteger0(xn)
| aInteger0(sK13(xn,sK17))
| ~ spl20_5 ),
inference(resolution,[],[f464,f283]) ).
fof(f283,plain,
! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| aInteger0(sK13(X0,X1))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( ( ( aInteger0(sK13(X0,X1))
& sdtasdt0(X1,sK13(X0,X1)) = X0
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) )
& ( aDivisorOf0(X1,X0)
| ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != X0 )
| sz00 = X1
| ~ aInteger0(X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f166,f167]) ).
fof(f167,plain,
! [X0,X1] :
( ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
=> ( aInteger0(sK13(X0,X1))
& sdtasdt0(X1,sK13(X0,X1)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( ( ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) )
& ( aDivisorOf0(X1,X0)
| ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != X0 )
| sz00 = X1
| ~ aInteger0(X1) ) ) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( ( ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) )
& ( aDivisorOf0(X1,X0)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 )
| sz00 = X1
| ~ aInteger0(X1) ) ) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( ( ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) )
& ( aDivisorOf0(X1,X0)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 )
| sz00 = X1
| ~ aInteger0(X1) ) ) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& sz00 != X1
& aInteger0(X1) )
<=> aDivisorOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& sz00 != X1
& aInteger0(X1) )
<=> aDivisorOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).
fof(f1338,plain,
( spl20_120
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f1303,f537,f1335]) ).
fof(f1335,plain,
( spl20_120
<=> sz00 = sdtpldt0(sK18,smndt0(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_120])]) ).
fof(f537,plain,
( spl20_20
<=> aInteger0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
fof(f1303,plain,
( sz00 = sdtpldt0(sK18,smndt0(sK18))
| ~ spl20_20 ),
inference(resolution,[],[f539,f274]) ).
fof(f539,plain,
( aInteger0(sK18)
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f1333,plain,
( spl20_119
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f1305,f537,f1330]) ).
fof(f1330,plain,
( spl20_119
<=> sz00 = sdtasdt0(sK18,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_119])]) ).
fof(f1305,plain,
( sz00 = sdtasdt0(sK18,sz00)
| ~ spl20_20 ),
inference(resolution,[],[f539,f287]) ).
fof(f1328,plain,
( spl20_118
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f1304,f537,f1325]) ).
fof(f1325,plain,
( spl20_118
<=> sz00 = sdtasdt0(sz00,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_118])]) ).
fof(f1304,plain,
( sz00 = sdtasdt0(sz00,sK18)
| ~ spl20_20 ),
inference(resolution,[],[f539,f286]) ).
fof(f1323,plain,
( spl20_117
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f1307,f537,f1320]) ).
fof(f1320,plain,
( spl20_117
<=> smndt0(sK18) = sdtasdt0(smndt0(sz10),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_117])]) ).
fof(f1307,plain,
( smndt0(sK18) = sdtasdt0(smndt0(sz10),sK18)
| ~ spl20_20 ),
inference(resolution,[],[f539,f316]) ).
fof(f1318,plain,
( spl20_116
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f1301,f537,f1315]) ).
fof(f1315,plain,
( spl20_116
<=> sdtpldt0(sz00,sK18) = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_116])]) ).
fof(f1301,plain,
( sdtpldt0(sz00,sK18) = sK18
| ~ spl20_20 ),
inference(resolution,[],[f539,f263]) ).
fof(f1313,plain,
( spl20_115
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f1302,f537,f1310]) ).
fof(f1310,plain,
( spl20_115
<=> sz00 = sdtpldt0(smndt0(sK18),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_115])]) ).
fof(f1302,plain,
( sz00 = sdtpldt0(smndt0(sK18),sK18)
| ~ spl20_20 ),
inference(resolution,[],[f539,f273]) ).
fof(f1299,plain,
( ~ spl20_1
| spl20_13
| spl20_114
| ~ spl20_15
| ~ spl20_26 ),
inference(avatar_split_clause,[],[f1282,f566,f506,f1297,f496,f446]) ).
fof(f1297,plain,
( spl20_114
<=> ! [X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_114])]) ).
fof(f566,plain,
( spl20_26
<=> ! [X2,X1] :
( ~ isPrime0(X1)
| sz00 = X1
| aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).
fof(f1282,plain,
( ! [X2] :
( aInteger0(X2)
| sz00 = sK17
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| ~ aInteger0(sK17) )
| ~ spl20_15
| ~ spl20_26 ),
inference(resolution,[],[f508,f567]) ).
fof(f567,plain,
( ! [X2,X1] :
( ~ isPrime0(X1)
| ~ aInteger0(X1)
| sz00 = X1
| aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ spl20_26 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f1295,plain,
( ~ spl20_1
| spl20_113
| spl20_13
| ~ spl20_15
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f1281,f544,f506,f496,f1293,f446]) ).
fof(f1293,plain,
( spl20_113
<=> ! [X1] :
( sdteqdtlpzmzozddtrp0(X1,sz00,sK17)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,sK17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_113])]) ).
fof(f544,plain,
( spl20_21
<=> ! [X2,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
fof(f1281,plain,
( ! [X1] :
( sz00 = sK17
| sdteqdtlpzmzozddtrp0(X1,sz00,sK17)
| ~ aInteger0(sK17)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,sK17)) )
| ~ spl20_15
| ~ spl20_21 ),
inference(resolution,[],[f508,f545]) ).
fof(f545,plain,
( ! [X2,X1] :
( ~ isPrime0(X1)
| sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sz00 = X1 )
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f1291,plain,
( ~ spl20_1
| spl20_13
| spl20_112
| ~ spl20_15
| ~ spl20_16 ),
inference(avatar_split_clause,[],[f1280,f517,f506,f1289,f496,f446]) ).
fof(f1289,plain,
( spl20_112
<=> ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,sz00,sK17)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_112])]) ).
fof(f517,plain,
( spl20_16
<=> ! [X2,X1] :
( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sz00 = X1
| ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| ~ isPrime0(X1)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f1280,plain,
( ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,sz00,sK17)
| ~ aInteger0(X0)
| sz00 = sK17
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| ~ aInteger0(sK17) )
| ~ spl20_15
| ~ spl20_16 ),
inference(resolution,[],[f508,f518]) ).
fof(f518,plain,
( ! [X2,X1] :
( ~ isPrime0(X1)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sz00 = X1
| ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl20_16 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f1287,plain,
( ~ spl20_1
| spl20_13
| spl20_111
| ~ spl20_15
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f1283,f591,f506,f1285,f496,f446]) ).
fof(f1285,plain,
( spl20_111
<=> ! [X3] :
( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| aInteger0(sK5(sK17,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_111])]) ).
fof(f591,plain,
( spl20_29
<=> ! [X2,X1] :
( aInteger0(sK5(X1,X2))
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f1283,plain,
( ! [X3] :
( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,sK17))
| sz00 = sK17
| ~ aInteger0(sK17)
| aInteger0(sK5(sK17,X3)) )
| ~ spl20_15
| ~ spl20_29 ),
inference(resolution,[],[f508,f592]) ).
fof(f592,plain,
( ! [X2,X1] :
( ~ isPrime0(X1)
| aInteger0(sK5(X1,X2))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sz00 = X1
| ~ aInteger0(X1) )
| ~ spl20_29 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f1278,plain,
( spl20_110
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f1238,f446,f1275]) ).
fof(f1275,plain,
( spl20_110
<=> sz00 = sdtpldt0(sK17,smndt0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_110])]) ).
fof(f1238,plain,
( sz00 = sdtpldt0(sK17,smndt0(sK17))
| ~ spl20_1 ),
inference(resolution,[],[f448,f274]) ).
fof(f448,plain,
( aInteger0(sK17)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f1273,plain,
( spl20_109
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f1235,f446,f1270]) ).
fof(f1270,plain,
( spl20_109
<=> sdtpldt0(sK17,sz00) = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_109])]) ).
fof(f1235,plain,
( sdtpldt0(sK17,sz00) = sK17
| ~ spl20_1 ),
inference(resolution,[],[f448,f262]) ).
fof(f1268,plain,
( spl20_108
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f1240,f446,f1265]) ).
fof(f1265,plain,
( spl20_108
<=> sz00 = sdtasdt0(sK17,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_108])]) ).
fof(f1240,plain,
( sz00 = sdtasdt0(sK17,sz00)
| ~ spl20_1 ),
inference(resolution,[],[f448,f287]) ).
fof(f1263,plain,
( spl20_107
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f1237,f446,f1260]) ).
fof(f1260,plain,
( spl20_107
<=> sz00 = sdtpldt0(smndt0(sK17),sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_107])]) ).
fof(f1237,plain,
( sz00 = sdtpldt0(smndt0(sK17),sK17)
| ~ spl20_1 ),
inference(resolution,[],[f448,f273]) ).
fof(f1258,plain,
( spl20_106
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f1242,f446,f1255]) ).
fof(f1255,plain,
( spl20_106
<=> sdtasdt0(smndt0(sz10),sK17) = smndt0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_106])]) ).
fof(f1242,plain,
( sdtasdt0(smndt0(sz10),sK17) = smndt0(sK17)
| ~ spl20_1 ),
inference(resolution,[],[f448,f316]) ).
fof(f1253,plain,
( spl20_105
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f1236,f446,f1250]) ).
fof(f1250,plain,
( spl20_105
<=> sdtpldt0(sz00,sK17) = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_105])]) ).
fof(f1236,plain,
( sdtpldt0(sz00,sK17) = sK17
| ~ spl20_1 ),
inference(resolution,[],[f448,f263]) ).
fof(f1248,plain,
( spl20_104
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f1239,f446,f1245]) ).
fof(f1245,plain,
( spl20_104
<=> sz00 = sdtasdt0(sz00,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_104])]) ).
fof(f1239,plain,
( sz00 = sdtasdt0(sz00,sK17)
| ~ spl20_1 ),
inference(resolution,[],[f448,f286]) ).
fof(f1234,plain,
( ~ spl20_103
| ~ spl20_38
| spl20_45
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f1229,f1170,f766,f700,f1231]) ).
fof(f1231,plain,
( spl20_103
<=> xn = sdtasdt0(sK6(sK16),sK7(sK16,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_103])]) ).
fof(f766,plain,
( spl20_45
<=> sdtasdt0(sK6(sK16),sK7(sK16,xn)) = sdtpldt0(xn,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_45])]) ).
fof(f1229,plain,
( xn != sdtasdt0(sK6(sK16),sK7(sK16,xn))
| ~ spl20_38
| spl20_45
| ~ spl20_96 ),
inference(forward_demodulation,[],[f1228,f702]) ).
fof(f1228,plain,
( sdtasdt0(sK6(sK16),sK7(sK16,xn)) != sdtpldt0(xn,sz00)
| spl20_45
| ~ spl20_96 ),
inference(forward_demodulation,[],[f767,f1172]) ).
fof(f767,plain,
( sdtasdt0(sK6(sK16),sK7(sK16,xn)) != sdtpldt0(xn,smndt0(sz00))
| spl20_45 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f1225,plain,
( ~ spl20_102
| ~ spl20_38
| spl20_57
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f1220,f1170,f853,f700,f1222]) ).
fof(f1222,plain,
( spl20_102
<=> xn = sdtasdt0(sz00,sK7(sK16,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_102])]) ).
fof(f853,plain,
( spl20_57
<=> sdtasdt0(sz00,sK7(sK16,xn)) = sdtpldt0(xn,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).
fof(f1220,plain,
( xn != sdtasdt0(sz00,sK7(sK16,xn))
| ~ spl20_38
| spl20_57
| ~ spl20_96 ),
inference(forward_demodulation,[],[f1219,f702]) ).
fof(f1219,plain,
( sdtasdt0(sz00,sK7(sK16,xn)) != sdtpldt0(xn,sz00)
| spl20_57
| ~ spl20_96 ),
inference(forward_demodulation,[],[f854,f1172]) ).
fof(f854,plain,
( sdtasdt0(sz00,sK7(sK16,xn)) != sdtpldt0(xn,smndt0(sz00))
| spl20_57 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f1213,plain,
( ~ spl20_101
| spl20_71
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f1204,f1170,f972,f1210]) ).
fof(f1210,plain,
( spl20_101
<=> sz00 = sdtpldt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_101])]) ).
fof(f972,plain,
( spl20_71
<=> sz00 = sdtpldt0(xn,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).
fof(f1204,plain,
( sz00 != sdtpldt0(xn,sz00)
| spl20_71
| ~ spl20_96 ),
inference(backward_demodulation,[],[f974,f1172]) ).
fof(f974,plain,
( sz00 != sdtpldt0(xn,smndt0(sz00))
| spl20_71 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f1193,plain,
( spl20_100
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f1158,f585,f1190]) ).
fof(f1190,plain,
( spl20_100
<=> sdtasdt0(smndt0(sz10),xn) = smndt0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_100])]) ).
fof(f1158,plain,
( sdtasdt0(smndt0(sz10),xn) = smndt0(xn)
| ~ spl20_28 ),
inference(resolution,[],[f316,f587]) ).
fof(f587,plain,
( aInteger0(xn)
| ~ spl20_28 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f1188,plain,
( spl20_99
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f1162,f773,f1185]) ).
fof(f1185,plain,
( spl20_99
<=> smndt0(sK7(sK16,xn)) = sdtasdt0(smndt0(sz10),sK7(sK16,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_99])]) ).
fof(f1162,plain,
( smndt0(sK7(sK16,xn)) = sdtasdt0(smndt0(sz10),sK7(sK16,xn))
| ~ spl20_46 ),
inference(resolution,[],[f316,f774]) ).
fof(f774,plain,
( aInteger0(sK7(sK16,xn))
| ~ spl20_46 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f1183,plain,
( spl20_98
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f1155,f488,f1180]) ).
fof(f1180,plain,
( spl20_98
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_98])]) ).
fof(f488,plain,
( spl20_11
<=> aInteger0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f1155,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl20_11 ),
inference(resolution,[],[f316,f489]) ).
fof(f489,plain,
( aInteger0(sz10)
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f1178,plain,
( spl20_97
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f1157,f555,f1175]) ).
fof(f1175,plain,
( spl20_97
<=> sdtasdt0(smndt0(sz10),smndt0(sz10)) = smndt0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).
fof(f555,plain,
( spl20_24
<=> aInteger0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f1157,plain,
( sdtasdt0(smndt0(sz10),smndt0(sz10)) = smndt0(smndt0(sz10))
| ~ spl20_24 ),
inference(resolution,[],[f316,f556]) ).
fof(f556,plain,
( aInteger0(smndt0(sz10))
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f1173,plain,
( spl20_96
| ~ spl20_19
| ~ spl20_75 ),
inference(avatar_split_clause,[],[f1168,f1007,f531,f1170]) ).
fof(f531,plain,
( spl20_19
<=> aInteger0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).
fof(f1007,plain,
( spl20_75
<=> sz00 = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).
fof(f1168,plain,
( sz00 = smndt0(sz00)
| ~ spl20_19
| ~ spl20_75 ),
inference(forward_demodulation,[],[f1154,f1009]) ).
fof(f1009,plain,
( sz00 = sdtasdt0(smndt0(sz10),sz00)
| ~ spl20_75 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1154,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl20_19 ),
inference(resolution,[],[f316,f533]) ).
fof(f533,plain,
( aInteger0(sz00)
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f1167,plain,
( spl20_95
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f1160,f753,f1164]) ).
fof(f1164,plain,
( spl20_95
<=> sdtasdt0(smndt0(sz10),sK6(sK16)) = smndt0(sK6(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_95])]) ).
fof(f1160,plain,
( sdtasdt0(smndt0(sz10),sK6(sK16)) = smndt0(sK6(sK16))
| ~ spl20_44 ),
inference(resolution,[],[f316,f755]) ).
fof(f755,plain,
( aInteger0(sK6(sK16))
| ~ spl20_44 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f1152,plain,
( spl20_93
| spl20_94
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f1133,f525,f1149,f1145]) ).
fof(f1145,plain,
( spl20_93
<=> aElementOf0(sK4(cS2043),cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).
fof(f1149,plain,
( spl20_94
<=> isOpen0(sbsmnsldt0(cS2043)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_94])]) ).
fof(f525,plain,
( spl20_18
<=> aSet0(cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f1133,plain,
( isOpen0(sbsmnsldt0(cS2043))
| aElementOf0(sK4(cS2043),cS2043)
| ~ spl20_18 ),
inference(resolution,[],[f215,f527]) ).
fof(f527,plain,
( aSet0(cS2043)
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f1143,plain,
( spl20_91
| spl20_92
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f1134,f706,f1140,f1136]) ).
fof(f1136,plain,
( spl20_91
<=> aElementOf0(sK4(sK16),sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_91])]) ).
fof(f1140,plain,
( spl20_92
<=> isOpen0(sbsmnsldt0(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).
fof(f1134,plain,
( isOpen0(sbsmnsldt0(sK16))
| aElementOf0(sK4(sK16),sK16)
| ~ spl20_39 ),
inference(resolution,[],[f215,f708]) ).
fof(f708,plain,
( aSet0(sK16)
| ~ spl20_39 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f1108,plain,
( spl20_90
| ~ spl20_19 ),
inference(avatar_split_clause,[],[f1070,f531,f1105]) ).
fof(f1105,plain,
( spl20_90
<=> sz00 = sdtpldt0(sz00,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).
fof(f1070,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl20_19 ),
inference(resolution,[],[f274,f533]) ).
fof(f1103,plain,
( spl20_89
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f1076,f753,f1100]) ).
fof(f1100,plain,
( spl20_89
<=> sz00 = sdtpldt0(sK6(sK16),smndt0(sK6(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_89])]) ).
fof(f1076,plain,
( sz00 = sdtpldt0(sK6(sK16),smndt0(sK6(sK16)))
| ~ spl20_44 ),
inference(resolution,[],[f274,f755]) ).
fof(f1098,plain,
( spl20_88
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f1071,f488,f1095]) ).
fof(f1095,plain,
( spl20_88
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).
fof(f1071,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl20_11 ),
inference(resolution,[],[f274,f489]) ).
fof(f1093,plain,
( spl20_87
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f1074,f585,f1090]) ).
fof(f1090,plain,
( spl20_87
<=> sz00 = sdtpldt0(xn,smndt0(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_87])]) ).
fof(f1074,plain,
( sz00 = sdtpldt0(xn,smndt0(xn))
| ~ spl20_28 ),
inference(resolution,[],[f274,f587]) ).
fof(f1088,plain,
( spl20_86
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f1078,f773,f1085]) ).
fof(f1085,plain,
( spl20_86
<=> sz00 = sdtpldt0(sK7(sK16,xn),smndt0(sK7(sK16,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_86])]) ).
fof(f1078,plain,
( sz00 = sdtpldt0(sK7(sK16,xn),smndt0(sK7(sK16,xn)))
| ~ spl20_46 ),
inference(resolution,[],[f274,f774]) ).
fof(f1083,plain,
( spl20_85
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f1073,f555,f1080]) ).
fof(f1080,plain,
( spl20_85
<=> sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f1073,plain,
( sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl20_24 ),
inference(resolution,[],[f274,f556]) ).
fof(f1065,plain,
( ~ spl20_19
| ~ spl20_44
| ~ spl20_47
| ~ spl20_84
| spl20_48
| ~ spl20_2
| ~ spl20_73 ),
inference(avatar_split_clause,[],[f1056,f997,f450,f781,f1062,f777,f753,f531]) ).
fof(f777,plain,
( spl20_47
<=> isPrime0(sK6(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_47])]) ).
fof(f1062,plain,
( spl20_84
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).
fof(f781,plain,
( spl20_48
<=> sz00 = sK6(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_48])]) ).
fof(f450,plain,
( spl20_2
<=> ! [X2,X1] :
( sz00 = X1
| sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2)
| ~ isPrime0(X1)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f997,plain,
( spl20_73
<=> sz00 = sdtasdt0(sK6(sK16),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_73])]) ).
fof(f1056,plain,
( sz00 = sK6(sK16)
| sz00 != xn
| ~ isPrime0(sK6(sK16))
| ~ aInteger0(sK6(sK16))
| ~ aInteger0(sz00)
| ~ spl20_2
| ~ spl20_73 ),
inference(superposition,[],[f451,f999]) ).
fof(f999,plain,
( sz00 = sdtasdt0(sK6(sK16),sz00)
| ~ spl20_73 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f451,plain,
( ! [X2,X1] :
( sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2)
| ~ isPrime0(X1)
| ~ aInteger0(X1)
| sz00 = X1 )
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f1060,plain,
( ~ spl20_19
| ~ spl20_14
| spl20_83
| ~ spl20_73 ),
inference(avatar_split_clause,[],[f1055,f997,f1058,f501,f531]) ).
fof(f1058,plain,
( spl20_83
<=> ! [X0] :
( ~ aInteger0(X0)
| aElementOf0(X0,sK16)
| sz00 != sdtpldt0(X0,smndt0(sz00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).
fof(f1055,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 != sdtpldt0(X0,smndt0(sz00))
| aElementOf0(X0,sK16)
| ~ aElementOf0(sK16,cS2043)
| ~ aInteger0(sz00) )
| ~ spl20_73 ),
inference(superposition,[],[f681,f999]) ).
fof(f681,plain,
! [X0,X8,X6] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(sK6(X0),X8)
| aElementOf0(X6,X0)
| ~ aInteger0(X8)
| ~ aInteger0(X6)
| ~ aElementOf0(X0,cS2043) ),
inference(forward_subsumption_demodulation,[],[f387,f379]) ).
fof(f387,plain,
! [X0,X8,X6] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(sK6(X0),X8)
| ~ aInteger0(X6)
| ~ aElementOf0(X0,cS2043)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) ),
inference(definition_unfolding,[],[f219,f241]) ).
fof(f219,plain,
! [X0,X8,X6] :
( ~ aElementOf0(X0,xS)
| ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)))
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(sK6(X0),X8)
| ~ aInteger0(X8) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1054,plain,
( spl20_82
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f1024,f773,f1051]) ).
fof(f1051,plain,
( spl20_82
<=> sz00 = sdtpldt0(smndt0(sK7(sK16,xn)),sK7(sK16,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).
fof(f1024,plain,
( sz00 = sdtpldt0(smndt0(sK7(sK16,xn)),sK7(sK16,xn))
| ~ spl20_46 ),
inference(resolution,[],[f273,f774]) ).
fof(f1049,plain,
( spl20_81
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f1017,f488,f1046]) ).
fof(f1046,plain,
( spl20_81
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).
fof(f1017,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl20_11 ),
inference(resolution,[],[f273,f489]) ).
fof(f1044,plain,
( spl20_80
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f1022,f753,f1041]) ).
fof(f1041,plain,
( spl20_80
<=> sz00 = sdtpldt0(smndt0(sK6(sK16)),sK6(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_80])]) ).
fof(f1022,plain,
( sz00 = sdtpldt0(smndt0(sK6(sK16)),sK6(sK16))
| ~ spl20_44 ),
inference(resolution,[],[f273,f755]) ).
fof(f1039,plain,
( spl20_79
| ~ spl20_19 ),
inference(avatar_split_clause,[],[f1016,f531,f1036]) ).
fof(f1036,plain,
( spl20_79
<=> sz00 = sdtpldt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).
fof(f1016,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl20_19 ),
inference(resolution,[],[f273,f533]) ).
fof(f1034,plain,
( spl20_78
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f1019,f555,f1031]) ).
fof(f1031,plain,
( spl20_78
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).
fof(f1019,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl20_24 ),
inference(resolution,[],[f273,f556]) ).
fof(f1029,plain,
( spl20_77
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f1020,f585,f1026]) ).
fof(f1026,plain,
( spl20_77
<=> sz00 = sdtpldt0(smndt0(xn),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_77])]) ).
fof(f1020,plain,
( sz00 = sdtpldt0(smndt0(xn),xn)
| ~ spl20_28 ),
inference(resolution,[],[f273,f587]) ).
fof(f1015,plain,
( spl20_76
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f983,f488,f1012]) ).
fof(f1012,plain,
( spl20_76
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
fof(f983,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl20_11 ),
inference(resolution,[],[f287,f489]) ).
fof(f1010,plain,
( spl20_75
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f985,f555,f1007]) ).
fof(f985,plain,
( sz00 = sdtasdt0(smndt0(sz10),sz00)
| ~ spl20_24 ),
inference(resolution,[],[f287,f556]) ).
fof(f1005,plain,
( spl20_74
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f986,f585,f1002]) ).
fof(f1002,plain,
( spl20_74
<=> sz00 = sdtasdt0(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_74])]) ).
fof(f986,plain,
( sz00 = sdtasdt0(xn,sz00)
| ~ spl20_28 ),
inference(resolution,[],[f287,f587]) ).
fof(f1000,plain,
( spl20_73
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f988,f753,f997]) ).
fof(f988,plain,
( sz00 = sdtasdt0(sK6(sK16),sz00)
| ~ spl20_44 ),
inference(resolution,[],[f287,f755]) ).
fof(f995,plain,
( spl20_72
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f990,f773,f992]) ).
fof(f992,plain,
( spl20_72
<=> sz00 = sdtasdt0(sK7(sK16,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_72])]) ).
fof(f990,plain,
( sz00 = sdtasdt0(sK7(sK16,xn),sz00)
| ~ spl20_46 ),
inference(resolution,[],[f287,f774]) ).
fof(f977,plain,
( ~ spl20_11
| spl20_24 ),
inference(avatar_split_clause,[],[f976,f555,f488]) ).
fof(f976,plain,
( ~ aInteger0(sz10)
| spl20_24 ),
inference(resolution,[],[f557,f365]) ).
fof(f365,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f557,plain,
( ~ aInteger0(smndt0(sz10))
| spl20_24 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f975,plain,
( ~ spl20_71
| spl20_57
| ~ spl20_69 ),
inference(avatar_split_clause,[],[f970,f961,f853,f972]) ).
fof(f961,plain,
( spl20_69
<=> sz00 = sdtasdt0(sz00,sK7(sK16,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).
fof(f970,plain,
( sz00 != sdtpldt0(xn,smndt0(sz00))
| spl20_57
| ~ spl20_69 ),
inference(backward_demodulation,[],[f854,f963]) ).
fof(f963,plain,
( sz00 = sdtasdt0(sz00,sK7(sK16,xn))
| ~ spl20_69 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f969,plain,
( spl20_70
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f952,f753,f966]) ).
fof(f966,plain,
( spl20_70
<=> sz00 = sdtasdt0(sz00,sK6(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_70])]) ).
fof(f952,plain,
( sz00 = sdtasdt0(sz00,sK6(sK16))
| ~ spl20_44 ),
inference(resolution,[],[f286,f755]) ).
fof(f964,plain,
( spl20_69
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f954,f773,f961]) ).
fof(f954,plain,
( sz00 = sdtasdt0(sz00,sK7(sK16,xn))
| ~ spl20_46 ),
inference(resolution,[],[f286,f774]) ).
fof(f959,plain,
( spl20_68
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f949,f555,f956]) ).
fof(f956,plain,
( spl20_68
<=> sz00 = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_68])]) ).
fof(f949,plain,
( sz00 = sdtasdt0(sz00,smndt0(sz10))
| ~ spl20_24 ),
inference(resolution,[],[f286,f556]) ).
fof(f945,plain,
( spl20_67
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f928,f753,f942]) ).
fof(f942,plain,
( spl20_67
<=> sdtpldt0(sz00,sK6(sK16)) = sK6(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).
fof(f928,plain,
( sdtpldt0(sz00,sK6(sK16)) = sK6(sK16)
| ~ spl20_44 ),
inference(resolution,[],[f263,f755]) ).
fof(f940,plain,
( spl20_66
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f925,f555,f937]) ).
fof(f937,plain,
( spl20_66
<=> smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).
fof(f925,plain,
( smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10))
| ~ spl20_24 ),
inference(resolution,[],[f263,f556]) ).
fof(f935,plain,
( spl20_65
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f930,f773,f932]) ).
fof(f932,plain,
( spl20_65
<=> sdtpldt0(sz00,sK7(sK16,xn)) = sK7(sK16,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
fof(f930,plain,
( sdtpldt0(sz00,sK7(sK16,xn)) = sK7(sK16,xn)
| ~ spl20_46 ),
inference(resolution,[],[f263,f774]) ).
fof(f921,plain,
( spl20_64
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f895,f555,f918]) ).
fof(f918,plain,
( spl20_64
<=> smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_64])]) ).
fof(f895,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00)
| ~ spl20_24 ),
inference(resolution,[],[f262,f556]) ).
fof(f916,plain,
( spl20_63
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f900,f773,f913]) ).
fof(f913,plain,
( spl20_63
<=> sK7(sK16,xn) = sdtpldt0(sK7(sK16,xn),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_63])]) ).
fof(f900,plain,
( sK7(sK16,xn) = sdtpldt0(sK7(sK16,xn),sz00)
| ~ spl20_46 ),
inference(resolution,[],[f262,f774]) ).
fof(f911,plain,
( spl20_62
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f898,f753,f908]) ).
fof(f908,plain,
( spl20_62
<=> sdtpldt0(sK6(sK16),sz00) = sK6(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).
fof(f898,plain,
( sdtpldt0(sK6(sK16),sz00) = sK6(sK16)
| ~ spl20_44 ),
inference(resolution,[],[f262,f755]) ).
fof(f906,plain,
( spl20_61
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f901,f537,f903]) ).
fof(f903,plain,
( spl20_61
<=> sK18 = sdtpldt0(sK18,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).
fof(f901,plain,
( sK18 = sdtpldt0(sK18,sz00)
| ~ spl20_20 ),
inference(resolution,[],[f262,f539]) ).
fof(f871,plain,
( spl20_60
| ~ spl20_41
| ~ spl20_48 ),
inference(avatar_split_clause,[],[f838,f781,f724,f868]) ).
fof(f868,plain,
( spl20_60
<=> szAzrzSzezqlpdtcmdtrp0(sz00,sz00) = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
fof(f724,plain,
( spl20_41
<=> szAzrzSzezqlpdtcmdtrp0(sz00,sK6(sK16)) = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
fof(f838,plain,
( szAzrzSzezqlpdtcmdtrp0(sz00,sz00) = sK16
| ~ spl20_41
| ~ spl20_48 ),
inference(backward_demodulation,[],[f726,f783]) ).
fof(f783,plain,
( sz00 = sK6(sK16)
| ~ spl20_48 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f726,plain,
( szAzrzSzezqlpdtcmdtrp0(sz00,sK6(sK16)) = sK16
| ~ spl20_41 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f866,plain,
( spl20_59
| ~ spl20_42
| ~ spl20_48 ),
inference(avatar_split_clause,[],[f841,f781,f741,f863]) ).
fof(f863,plain,
( spl20_59
<=> aDivisorOf0(sz00,sdtpldt0(xn,smndt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).
fof(f741,plain,
( spl20_42
<=> aDivisorOf0(sK6(sK16),sdtpldt0(xn,smndt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).
fof(f841,plain,
( aDivisorOf0(sz00,sdtpldt0(xn,smndt0(sz00)))
| ~ spl20_42
| ~ spl20_48 ),
inference(backward_demodulation,[],[f743,f783]) ).
fof(f743,plain,
( aDivisorOf0(sK6(sK16),sdtpldt0(xn,smndt0(sz00)))
| ~ spl20_42 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f861,plain,
( ~ spl20_58
| ~ spl20_48
| spl20_51 ),
inference(avatar_split_clause,[],[f846,f806,f781,f858]) ).
fof(f858,plain,
( spl20_58
<=> aDivisorOf0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_58])]) ).
fof(f806,plain,
( spl20_51
<=> aDivisorOf0(sK6(sK16),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).
fof(f846,plain,
( ~ aDivisorOf0(sz00,xn)
| ~ spl20_48
| spl20_51 ),
inference(backward_demodulation,[],[f808,f783]) ).
fof(f808,plain,
( ~ aDivisorOf0(sK6(sK16),xn)
| spl20_51 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f856,plain,
( spl20_57
| ~ spl20_45
| ~ spl20_48 ),
inference(avatar_split_clause,[],[f844,f781,f766,f853]) ).
fof(f844,plain,
( sdtasdt0(sz00,sK7(sK16,xn)) = sdtpldt0(xn,smndt0(sz00))
| ~ spl20_45
| ~ spl20_48 ),
inference(backward_demodulation,[],[f768,f783]) ).
fof(f768,plain,
( sdtasdt0(sK6(sK16),sK7(sK16,xn)) = sdtpldt0(xn,smndt0(sz00))
| ~ spl20_45 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f851,plain,
( spl20_56
| ~ spl20_47
| ~ spl20_48 ),
inference(avatar_split_clause,[],[f845,f781,f777,f848]) ).
fof(f848,plain,
( spl20_56
<=> isPrime0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).
fof(f845,plain,
( isPrime0(sz00)
| ~ spl20_47
| ~ spl20_48 ),
inference(backward_demodulation,[],[f778,f783]) ).
fof(f778,plain,
( isPrime0(sK6(sK16))
| ~ spl20_47 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f837,plain,
( ~ spl20_44
| spl20_48
| spl20_55
| ~ spl20_22
| ~ spl20_41
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f833,f777,f724,f548,f835,f781,f753]) ).
fof(f835,plain,
( spl20_55
<=> ! [X4,X3] :
( aElementOf0(X3,sK16)
| ~ aInteger0(X4)
| sdtasdt0(sK6(sK16),X4) != sdtpldt0(X3,smndt0(sz00))
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).
fof(f833,plain,
( ! [X3,X4] :
( aElementOf0(X3,sK16)
| sz00 = sK6(sK16)
| ~ aInteger0(sK6(sK16))
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtasdt0(sK6(sK16),X4) != sdtpldt0(X3,smndt0(sz00)) )
| ~ spl20_22
| ~ spl20_41
| ~ spl20_47 ),
inference(forward_demodulation,[],[f831,f726]) ).
fof(f831,plain,
( ! [X3,X4] :
( ~ aInteger0(X4)
| ~ aInteger0(sK6(sK16))
| sz00 = sK6(sK16)
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(sK16)))
| sdtasdt0(sK6(sK16),X4) != sdtpldt0(X3,smndt0(sz00)) )
| ~ spl20_22
| ~ spl20_47 ),
inference(resolution,[],[f549,f778]) ).
fof(f829,plain,
( ~ spl20_44
| spl20_48
| ~ spl20_47
| spl20_54
| ~ spl20_27
| ~ spl20_41 ),
inference(avatar_split_clause,[],[f825,f724,f575,f827,f777,f781,f753]) ).
fof(f827,plain,
( spl20_54
<=> ! [X0] :
( sdtasdt0(sK6(sK16),sK5(sK6(sK16),X0)) = sdtpldt0(X0,smndt0(sz00))
| ~ aElementOf0(X0,sK16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).
fof(f825,plain,
( ! [X0] :
( sdtasdt0(sK6(sK16),sK5(sK6(sK16),X0)) = sdtpldt0(X0,smndt0(sz00))
| ~ isPrime0(sK6(sK16))
| sz00 = sK6(sK16)
| ~ aInteger0(sK6(sK16))
| ~ aElementOf0(X0,sK16) )
| ~ spl20_27
| ~ spl20_41 ),
inference(superposition,[],[f576,f726]) ).
fof(f822,plain,
( ~ spl20_4
| ~ spl20_14
| spl20_46 ),
inference(avatar_split_clause,[],[f821,f773,f501,f458]) ).
fof(f458,plain,
( spl20_4
<=> aElementOf0(xn,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f821,plain,
( ~ aElementOf0(sK16,cS2043)
| ~ aElementOf0(xn,sK16)
| spl20_46 ),
inference(resolution,[],[f775,f670]) ).
fof(f670,plain,
! [X0,X6] :
( aInteger0(sK7(X0,X6))
| ~ aElementOf0(X6,X0)
| ~ aElementOf0(X0,cS2043) ),
inference(forward_subsumption_demodulation,[],[f384,f379]) ).
fof(f384,plain,
! [X0,X6] :
( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)))
| ~ aElementOf0(X0,cS2043)
| aInteger0(sK7(X0,X6)) ),
inference(definition_unfolding,[],[f222,f241]) ).
fof(f222,plain,
! [X0,X6] :
( ~ aElementOf0(X0,xS)
| aInteger0(sK7(X0,X6))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) ),
inference(cnf_transformation,[],[f141]) ).
fof(f820,plain,
( spl20_48
| ~ spl20_44
| spl20_53
| ~ spl20_21
| ~ spl20_41
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f816,f777,f724,f544,f818,f753,f781]) ).
fof(f818,plain,
( spl20_53
<=> ! [X2] :
( sdteqdtlpzmzozddtrp0(X2,sz00,sK6(sK16))
| ~ aElementOf0(X2,sK16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).
fof(f816,plain,
( ! [X2] :
( sdteqdtlpzmzozddtrp0(X2,sz00,sK6(sK16))
| ~ aInteger0(sK6(sK16))
| sz00 = sK6(sK16)
| ~ aElementOf0(X2,sK16) )
| ~ spl20_21
| ~ spl20_41
| ~ spl20_47 ),
inference(forward_demodulation,[],[f799,f726]) ).
fof(f799,plain,
( ! [X2] :
( ~ aInteger0(sK6(sK16))
| sdteqdtlpzmzozddtrp0(X2,sz00,sK6(sK16))
| sz00 = sK6(sK16)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(sK16))) )
| ~ spl20_21
| ~ spl20_47 ),
inference(resolution,[],[f778,f545]) ).
fof(f814,plain,
( ~ spl20_44
| spl20_52
| spl20_48
| ~ spl20_29
| ~ spl20_41
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f810,f777,f724,f591,f781,f812,f753]) ).
fof(f812,plain,
( spl20_52
<=> ! [X4] :
( ~ aElementOf0(X4,sK16)
| aInteger0(sK5(sK6(sK16),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_52])]) ).
fof(f810,plain,
( ! [X4] :
( sz00 = sK6(sK16)
| ~ aElementOf0(X4,sK16)
| ~ aInteger0(sK6(sK16))
| aInteger0(sK5(sK6(sK16),X4)) )
| ~ spl20_29
| ~ spl20_41
| ~ spl20_47 ),
inference(forward_demodulation,[],[f801,f726]) ).
fof(f801,plain,
( ! [X4] :
( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(sK16)))
| aInteger0(sK5(sK6(sK16),X4))
| ~ aInteger0(sK6(sK16))
| sz00 = sK6(sK16) )
| ~ spl20_29
| ~ spl20_47 ),
inference(resolution,[],[f778,f592]) ).
fof(f809,plain,
( ~ spl20_51
| ~ spl20_3
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f796,f777,f454,f806]) ).
fof(f454,plain,
( spl20_3
<=> ! [X1] :
( ~ aDivisorOf0(X1,xn)
| ~ isPrime0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f796,plain,
( ~ aDivisorOf0(sK6(sK16),xn)
| ~ spl20_3
| ~ spl20_47 ),
inference(resolution,[],[f778,f455]) ).
fof(f455,plain,
( ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,xn) )
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f794,plain,
( ~ spl20_14
| spl20_47 ),
inference(avatar_split_clause,[],[f793,f777,f501]) ).
fof(f793,plain,
( ~ aElementOf0(sK16,cS2043)
| spl20_47 ),
inference(resolution,[],[f779,f376]) ).
fof(f376,plain,
! [X0] :
( isPrime0(sK6(X0))
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f230,f241]) ).
fof(f230,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| isPrime0(sK6(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f779,plain,
( ~ isPrime0(sK6(sK16))
| spl20_47 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f792,plain,
( ~ spl20_46
| ~ spl20_14
| spl20_50
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f770,f766,f790,f501,f773]) ).
fof(f790,plain,
( spl20_50
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz00)) != sdtpldt0(xn,smndt0(sz00))
| aElementOf0(X0,sK16)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).
fof(f770,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz00)) != sdtpldt0(xn,smndt0(sz00))
| ~ aElementOf0(sK16,cS2043)
| ~ aInteger0(X0)
| aElementOf0(X0,sK16)
| ~ aInteger0(sK7(sK16,xn)) )
| ~ spl20_45 ),
inference(superposition,[],[f681,f768]) ).
fof(f788,plain,
( ~ spl20_46
| ~ spl20_44
| ~ spl20_47
| spl20_48
| ~ spl20_49
| ~ spl20_2
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f771,f766,f450,f785,f781,f777,f753,f773]) ).
fof(f785,plain,
( spl20_49
<=> xn = sdtpldt0(xn,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).
fof(f771,plain,
( xn != sdtpldt0(xn,smndt0(sz00))
| sz00 = sK6(sK16)
| ~ isPrime0(sK6(sK16))
| ~ aInteger0(sK6(sK16))
| ~ aInteger0(sK7(sK16,xn))
| ~ spl20_2
| ~ spl20_45 ),
inference(superposition,[],[f451,f768]) ).
fof(f769,plain,
( spl20_45
| ~ spl20_4
| ~ spl20_14 ),
inference(avatar_split_clause,[],[f764,f501,f458,f766]) ).
fof(f764,plain,
( sdtasdt0(sK6(sK16),sK7(sK16,xn)) = sdtpldt0(xn,smndt0(sz00))
| ~ spl20_4
| ~ spl20_14 ),
inference(resolution,[],[f745,f460]) ).
fof(f460,plain,
( aElementOf0(xn,sK16)
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f745,plain,
( ! [X0] :
( ~ aElementOf0(X0,sK16)
| sdtpldt0(X0,smndt0(sz00)) = sdtasdt0(sK6(sK16),sK7(sK16,X0)) )
| ~ spl20_14 ),
inference(resolution,[],[f683,f503]) ).
fof(f503,plain,
( aElementOf0(sK16,cS2043)
| ~ spl20_14 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f683,plain,
! [X0,X6] :
( ~ aElementOf0(X0,cS2043)
| sdtasdt0(sK6(X0),sK7(X0,X6)) = sdtpldt0(X6,smndt0(sz00))
| ~ aElementOf0(X6,X0) ),
inference(forward_subsumption_demodulation,[],[f383,f379]) ).
fof(f383,plain,
! [X0,X6] :
( sdtasdt0(sK6(X0),sK7(X0,X6)) = sdtpldt0(X6,smndt0(sz00))
| ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) ),
inference(definition_unfolding,[],[f223,f241]) ).
fof(f223,plain,
! [X0,X6] :
( ~ aElementOf0(X0,xS)
| sdtasdt0(sK6(X0),sK7(X0,X6)) = sdtpldt0(X6,smndt0(sz00))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) ),
inference(cnf_transformation,[],[f141]) ).
fof(f758,plain,
( ~ spl20_14
| spl20_44 ),
inference(avatar_split_clause,[],[f757,f753,f501]) ).
fof(f757,plain,
( ~ aElementOf0(sK16,cS2043)
| spl20_44 ),
inference(resolution,[],[f754,f377]) ).
fof(f377,plain,
! [X0] :
( aInteger0(sK6(X0))
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f229,f241]) ).
fof(f229,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aInteger0(sK6(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f756,plain,
( ~ spl20_43
| spl20_44
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f747,f741,f753,f749]) ).
fof(f749,plain,
( spl20_43
<=> aInteger0(sdtpldt0(xn,smndt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_43])]) ).
fof(f747,plain,
( aInteger0(sK6(sK16))
| ~ aInteger0(sdtpldt0(xn,smndt0(sz00)))
| ~ spl20_42 ),
inference(resolution,[],[f743,f280]) ).
fof(f280,plain,
! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0)
| aInteger0(X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f744,plain,
( spl20_42
| ~ spl20_4
| ~ spl20_14 ),
inference(avatar_split_clause,[],[f739,f501,f458,f741]) ).
fof(f739,plain,
( aDivisorOf0(sK6(sK16),sdtpldt0(xn,smndt0(sz00)))
| ~ spl20_4
| ~ spl20_14 ),
inference(resolution,[],[f731,f460]) ).
fof(f731,plain,
( ! [X0] :
( ~ aElementOf0(X0,sK16)
| aDivisorOf0(sK6(sK16),sdtpldt0(X0,smndt0(sz00))) )
| ~ spl20_14 ),
inference(resolution,[],[f697,f503]) ).
fof(f697,plain,
! [X0,X6] :
( ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(X6,X0)
| aDivisorOf0(sK6(X0),sdtpldt0(X6,smndt0(sz00))) ),
inference(forward_subsumption_demodulation,[],[f385,f379]) ).
fof(f385,plain,
! [X0,X6] :
( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)))
| aDivisorOf0(sK6(X0),sdtpldt0(X6,smndt0(sz00)))
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f221,f241]) ).
fof(f221,plain,
! [X0,X6] :
( ~ aElementOf0(X0,xS)
| aDivisorOf0(sK6(X0),sdtpldt0(X6,smndt0(sz00)))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) ),
inference(cnf_transformation,[],[f141]) ).
fof(f727,plain,
( spl20_41
| ~ spl20_14 ),
inference(avatar_split_clause,[],[f722,f501,f724]) ).
fof(f722,plain,
( szAzrzSzezqlpdtcmdtrp0(sz00,sK6(sK16)) = sK16
| ~ spl20_14 ),
inference(resolution,[],[f379,f503]) ).
fof(f716,plain,
( spl20_39
| ~ spl20_14 ),
inference(avatar_split_clause,[],[f704,f501,f706]) ).
fof(f704,plain,
( aSet0(sK16)
| ~ spl20_14 ),
inference(resolution,[],[f503,f570]) ).
fof(f715,plain,
( spl20_13
| spl20_40
| ~ spl20_1
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f710,f506,f446,f712,f496]) ).
fof(f710,plain,
( ~ aInteger0(sK17)
| aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,sK17),cS2043)
| sz00 = sK17
| ~ spl20_15 ),
inference(resolution,[],[f508,f422]) ).
fof(f422,plain,
! [X1] :
( ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,X1),cS2043) ),
inference(equality_resolution,[],[f375]) ).
fof(f375,plain,
! [X0,X1] :
( ~ isPrime0(X1)
| szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f231,f241]) ).
fof(f231,plain,
! [X0,X1] :
( ~ isPrime0(X1)
| szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f141]) ).
fof(f709,plain,
( spl20_39
| ~ spl20_14 ),
inference(avatar_split_clause,[],[f704,f501,f706]) ).
fof(f703,plain,
( spl20_38
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f631,f585,f700]) ).
fof(f631,plain,
( xn = sdtpldt0(xn,sz00)
| ~ spl20_28 ),
inference(resolution,[],[f262,f587]) ).
fof(f694,plain,
( spl20_35
| ~ spl20_19 ),
inference(avatar_split_clause,[],[f635,f531,f677]) ).
fof(f677,plain,
( spl20_35
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
fof(f635,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl20_19 ),
inference(resolution,[],[f263,f533]) ).
fof(f693,plain,
( spl20_37
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f638,f585,f690]) ).
fof(f690,plain,
( spl20_37
<=> xn = sdtpldt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f638,plain,
( xn = sdtpldt0(sz00,xn)
| ~ spl20_28 ),
inference(resolution,[],[f263,f587]) ).
fof(f688,plain,
( spl20_36
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f629,f488,f685]) ).
fof(f685,plain,
( spl20_36
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f629,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl20_11 ),
inference(resolution,[],[f262,f489]) ).
fof(f680,plain,
( spl20_35
| ~ spl20_19 ),
inference(avatar_split_clause,[],[f628,f531,f677]) ).
fof(f628,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl20_19 ),
inference(resolution,[],[f262,f533]) ).
fof(f675,plain,
( spl20_34
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f636,f488,f672]) ).
fof(f672,plain,
( spl20_34
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).
fof(f636,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl20_11 ),
inference(resolution,[],[f263,f489]) ).
fof(f669,plain,
( ~ spl20_19
| spl20_33
| ~ spl20_9 ),
inference(avatar_split_clause,[],[f664,f481,f667,f531]) ).
fof(f667,plain,
( spl20_33
<=> ! [X2] :
( aElementOf0(sz00,X2)
| ~ aElementOf0(X2,cS2043)
| ~ aDivisorOf0(sK6(X2),smndt0(sz00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).
fof(f664,plain,
( ! [X2] :
( aElementOf0(sz00,X2)
| ~ aDivisorOf0(sK6(X2),smndt0(sz00))
| ~ aElementOf0(X2,cS2043)
| ~ aInteger0(sz00) )
| ~ spl20_9 ),
inference(superposition,[],[f596,f634]) ).
fof(f634,plain,
( ! [X0] : sdtpldt0(sz00,X0) = X0
| ~ spl20_9 ),
inference(resolution,[],[f263,f617]) ).
fof(f596,plain,
! [X0,X6] :
( ~ aDivisorOf0(sK6(X0),sdtpldt0(X6,smndt0(sz00)))
| ~ aElementOf0(X0,cS2043)
| aElementOf0(X6,X0)
| ~ aInteger0(X6) ),
inference(forward_subsumption_demodulation,[],[f388,f379]) ).
fof(f388,plain,
! [X0,X6] :
( ~ aDivisorOf0(sK6(X0),sdtpldt0(X6,smndt0(sz00)))
| ~ aInteger0(X6)
| ~ aElementOf0(X0,cS2043)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0))) ),
inference(definition_unfolding,[],[f218,f241]) ).
fof(f218,plain,
! [X0,X6] :
( ~ aElementOf0(X0,xS)
| ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK6(X0)))
| ~ aDivisorOf0(sK6(X0),sdtpldt0(X6,smndt0(sz00))) ),
inference(cnf_transformation,[],[f141]) ).
fof(f663,plain,
( spl20_32
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f644,f488,f660]) ).
fof(f660,plain,
( spl20_32
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f644,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl20_11 ),
inference(resolution,[],[f286,f489]) ).
fof(f658,plain,
( spl20_31
| ~ spl20_19 ),
inference(avatar_split_clause,[],[f643,f531,f655]) ).
fof(f655,plain,
( spl20_31
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).
fof(f643,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl20_19 ),
inference(resolution,[],[f286,f533]) ).
fof(f653,plain,
( spl20_30
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f646,f585,f650]) ).
fof(f650,plain,
( spl20_30
<=> sz00 = sdtasdt0(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f646,plain,
( sz00 = sdtasdt0(sz00,xn)
| ~ spl20_28 ),
inference(resolution,[],[f286,f587]) ).
fof(f626,plain,
( spl20_1
| ~ spl20_9 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| spl20_1
| ~ spl20_9 ),
inference(resolution,[],[f617,f447]) ).
fof(f447,plain,
( ~ aInteger0(sK17)
| spl20_1 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f625,plain,
( ~ spl20_9
| spl20_20 ),
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f622,plain,
( $false
| ~ spl20_9
| spl20_20 ),
inference(resolution,[],[f617,f538]) ).
fof(f538,plain,
( ~ aInteger0(sK18)
| spl20_20 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f624,plain,
( ~ spl20_9
| spl20_24 ),
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| ~ spl20_9
| spl20_24 ),
inference(resolution,[],[f617,f557]) ).
fof(f601,plain,
( spl20_3
| spl20_15 ),
inference(avatar_split_clause,[],[f332,f506,f454]) ).
fof(f332,plain,
! [X1] :
( isPrime0(sK17)
| ~ aDivisorOf0(X1,xn)
| ~ isPrime0(X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( aElementOf0(xn,sK16)
& aElementOf0(sK16,xS)
& aElementOf0(xn,sbsmnsldt0(xS))
& ! [X1] :
( ( ~ aDivisorOf0(X1,xn)
& ( ! [X2] :
( sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) ) )
| ~ isPrime0(X1) ) )
| ( ! [X3] :
( ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) )
& isPrime0(sK17)
& aInteger0(sK17)
& aInteger0(sK18)
& xn = sdtasdt0(sK17,sK18)
& sz00 != sK17
& aDivisorOf0(sK17,xn)
& ~ aElementOf0(xn,sbsmnsldt0(xS)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f184,f187,f186,f185]) ).
fof(f185,plain,
( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
=> ( aElementOf0(xn,sK16)
& aElementOf0(sK16,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
( ? [X4] :
( isPrime0(X4)
& aInteger0(X4)
& ? [X5] :
( aInteger0(X5)
& xn = sdtasdt0(X4,X5) )
& sz00 != X4
& aDivisorOf0(X4,xn) )
=> ( isPrime0(sK17)
& aInteger0(sK17)
& ? [X5] :
( aInteger0(X5)
& xn = sdtasdt0(sK17,X5) )
& sz00 != sK17
& aDivisorOf0(sK17,xn) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
( ? [X5] :
( aInteger0(X5)
& xn = sdtasdt0(sK17,X5) )
=> ( aInteger0(sK18)
& xn = sdtasdt0(sK17,sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
( ( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
& aElementOf0(xn,sbsmnsldt0(xS))
& ! [X1] :
( ( ~ aDivisorOf0(X1,xn)
& ( ! [X2] :
( sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) ) )
| ~ isPrime0(X1) ) )
| ( ! [X3] :
( ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) )
& ? [X4] :
( isPrime0(X4)
& aInteger0(X4)
& ? [X5] :
( aInteger0(X5)
& xn = sdtasdt0(X4,X5) )
& sz00 != X4
& aDivisorOf0(X4,xn) )
& ~ aElementOf0(xn,sbsmnsldt0(xS)) ) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
( ( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
& aElementOf0(xn,sbsmnsldt0(xS))
& ! [X1] :
( ( ~ aDivisorOf0(X1,xn)
& ( ! [X2] :
( sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) ) )
| ~ isPrime0(X1) ) )
| ( ! [X5] :
( ~ aElementOf0(xn,X5)
| ~ aElementOf0(X5,xS) )
& ? [X3] :
( isPrime0(X3)
& aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& xn = sdtasdt0(X3,X4) )
& sz00 != X3
& aDivisorOf0(X3,xn) )
& ~ aElementOf0(xn,sbsmnsldt0(xS)) ) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
( ( ~ aElementOf0(xn,sbsmnsldt0(xS))
& ! [X5] :
( ~ aElementOf0(xn,X5)
| ~ aElementOf0(X5,xS) )
& ? [X3] :
( isPrime0(X3)
& aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& xn = sdtasdt0(X3,X4) )
& sz00 != X3
& aDivisorOf0(X3,xn) ) )
| ( ! [X1] :
( ( ~ aDivisorOf0(X1,xn)
& ( ! [X2] :
( sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) ) )
| ~ isPrime0(X1) )
& aElementOf0(xn,sbsmnsldt0(xS))
& ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) ) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
~ ( ( ? [X3] :
( isPrime0(X3)
& aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& xn = sdtasdt0(X3,X4) )
& sz00 != X3
& aDivisorOf0(X3,xn) )
=> ( aElementOf0(xn,sbsmnsldt0(xS))
| ? [X5] :
( aElementOf0(X5,xS)
& aElementOf0(xn,X5) ) ) )
& ( ( aElementOf0(xn,sbsmnsldt0(xS))
& ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) ) )
=> ? [X1] :
( ( aDivisorOf0(X1,xn)
| ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = xn )
& sz00 != X1 ) )
& isPrime0(X1) ) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ( ( ( aElementOf0(xn,sbsmnsldt0(xS))
& ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) ) )
=> ? [X0] :
( ( ( sz00 != X0
& aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(X0,X1) = xn ) )
| aDivisorOf0(X0,xn) )
& isPrime0(X0) ) )
& ( ? [X0] :
( isPrime0(X0)
& aDivisorOf0(X0,xn)
& ? [X1] :
( sdtasdt0(X0,X1) = xn
& aInteger0(X1) )
& sz00 != X0
& aInteger0(X0) )
=> ( aElementOf0(xn,sbsmnsldt0(xS))
| ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) ) ) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
( ( ( aElementOf0(xn,sbsmnsldt0(xS))
& ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) ) )
=> ? [X0] :
( ( ( sz00 != X0
& aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(X0,X1) = xn ) )
| aDivisorOf0(X0,xn) )
& isPrime0(X0) ) )
& ( ? [X0] :
( isPrime0(X0)
& aDivisorOf0(X0,xn)
& ? [X1] :
( sdtasdt0(X0,X1) = xn
& aInteger0(X1) )
& sz00 != X0
& aInteger0(X0) )
=> ( aElementOf0(xn,sbsmnsldt0(xS))
| ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f600,plain,
( spl20_6
| spl20_4 ),
inference(avatar_split_clause,[],[f390,f458,f467]) ).
fof(f390,plain,
! [X3] :
( aElementOf0(xn,sK16)
| ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,cS2043) ),
inference(definition_unfolding,[],[f357,f241]) ).
fof(f357,plain,
! [X3] :
( aElementOf0(xn,sK16)
| ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) ),
inference(cnf_transformation,[],[f188]) ).
fof(f599,plain,
( spl20_20
| spl20_3 ),
inference(avatar_split_clause,[],[f330,f454,f537]) ).
fof(f330,plain,
! [X1] :
( ~ aDivisorOf0(X1,xn)
| ~ isPrime0(X1)
| aInteger0(sK18) ),
inference(cnf_transformation,[],[f188]) ).
fof(f598,plain,
( spl20_4
| spl20_20 ),
inference(avatar_split_clause,[],[f354,f537,f458]) ).
fof(f354,plain,
( aInteger0(sK18)
| aElementOf0(xn,sK16) ),
inference(cnf_transformation,[],[f188]) ).
fof(f597,plain,
( spl20_14
| spl20_1 ),
inference(avatar_split_clause,[],[f394,f446,f501]) ).
fof(f394,plain,
( aInteger0(sK17)
| aElementOf0(sK16,cS2043) ),
inference(definition_unfolding,[],[f347,f241]) ).
fof(f347,plain,
( aElementOf0(sK16,xS)
| aInteger0(sK17) ),
inference(cnf_transformation,[],[f188]) ).
fof(f595,plain,
spl20_11,
inference(avatar_split_clause,[],[f244,f488]) ).
fof(f244,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(f594,plain,
( spl20_3
| spl20_6 ),
inference(avatar_split_clause,[],[f408,f467,f454]) ).
fof(f408,plain,
! [X3,X1] :
( ~ aElementOf0(X3,cS2043)
| ~ aDivisorOf0(X1,xn)
| ~ isPrime0(X1)
| ~ aElementOf0(xn,X3) ),
inference(definition_unfolding,[],[f333,f241]) ).
fof(f333,plain,
! [X3,X1] :
( ~ aDivisorOf0(X1,xn)
| ~ isPrime0(X1)
| ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) ),
inference(cnf_transformation,[],[f188]) ).
fof(f593,plain,
( spl20_9
| spl20_29 ),
inference(avatar_split_clause,[],[f368,f591,f481]) ).
fof(f368,plain,
! [X2,X0,X1] :
( aInteger0(sK5(X1,X2))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| aElementOf0(X0,cS2043)
| ~ aInteger0(X1)
| sz00 = X1
| ~ isPrime0(X1) ),
inference(definition_unfolding,[],[f238,f241]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ isPrime0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| aInteger0(sK5(X1,X2))
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f141]) ).
fof(f589,plain,
( spl20_5
| spl20_2 ),
inference(avatar_split_clause,[],[f319,f450,f462]) ).
fof(f319,plain,
! [X2,X1] :
( sdtasdt0(X1,X2) != xn
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| aDivisorOf0(sK17,xn)
| ~ isPrime0(X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f588,plain,
spl20_28,
inference(avatar_split_clause,[],[f306,f585]) ).
fof(f306,plain,
aInteger0(xn),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
aInteger0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2106) ).
fof(f583,plain,
( spl20_5
| spl20_14 ),
inference(avatar_split_clause,[],[f398,f501,f462]) ).
fof(f398,plain,
( aElementOf0(sK16,cS2043)
| aDivisorOf0(sK17,xn) ),
inference(definition_unfolding,[],[f343,f241]) ).
fof(f343,plain,
( aElementOf0(sK16,xS)
| aDivisorOf0(sK17,xn) ),
inference(cnf_transformation,[],[f188]) ).
fof(f582,plain,
( spl20_15
| spl20_14 ),
inference(avatar_split_clause,[],[f393,f501,f506]) ).
fof(f393,plain,
( aElementOf0(sK16,cS2043)
| isPrime0(sK17) ),
inference(definition_unfolding,[],[f348,f241]) ).
fof(f348,plain,
( aElementOf0(sK16,xS)
| isPrime0(sK17) ),
inference(cnf_transformation,[],[f188]) ).
fof(f581,plain,
( ~ spl20_7
| spl20_4 ),
inference(avatar_split_clause,[],[f391,f458,f471]) ).
fof(f471,plain,
( spl20_7
<=> aElementOf0(xn,sbsmnsldt0(cS2043)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f391,plain,
( aElementOf0(xn,sK16)
| ~ aElementOf0(xn,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f350,f241]) ).
fof(f350,plain,
( aElementOf0(xn,sK16)
| ~ aElementOf0(xn,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f188]) ).
fof(f580,plain,
( spl20_8
| spl20_3 ),
inference(avatar_split_clause,[],[f329,f454,f476]) ).
fof(f476,plain,
( spl20_8
<=> xn = sdtasdt0(sK17,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f329,plain,
! [X1] :
( ~ isPrime0(X1)
| xn = sdtasdt0(sK17,sK18)
| ~ aDivisorOf0(X1,xn) ),
inference(cnf_transformation,[],[f188]) ).
fof(f579,plain,
( spl20_3
| ~ spl20_13 ),
inference(avatar_split_clause,[],[f328,f496,f454]) ).
fof(f328,plain,
! [X1] :
( sz00 != sK17
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,xn) ),
inference(cnf_transformation,[],[f188]) ).
fof(f578,plain,
( spl20_1
| spl20_4 ),
inference(avatar_split_clause,[],[f355,f458,f446]) ).
fof(f355,plain,
( aElementOf0(xn,sK16)
| aInteger0(sK17) ),
inference(cnf_transformation,[],[f188]) ).
fof(f577,plain,
( spl20_9
| spl20_27 ),
inference(avatar_split_clause,[],[f367,f575,f481]) ).
fof(f367,plain,
! [X2,X0,X1] :
( ~ isPrime0(X1)
| sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,sK5(X1,X2))
| aElementOf0(X0,cS2043)
| sz00 = X1
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X1) ),
inference(definition_unfolding,[],[f239,f241]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ isPrime0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,sK5(X1,X2))
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f141]) ).
fof(f573,plain,
( spl20_20
| spl20_7 ),
inference(avatar_split_clause,[],[f403,f471,f537]) ).
fof(f403,plain,
( aElementOf0(xn,sbsmnsldt0(cS2043))
| aInteger0(sK18) ),
inference(definition_unfolding,[],[f338,f241]) ).
fof(f338,plain,
( aElementOf0(xn,sbsmnsldt0(xS))
| aInteger0(sK18) ),
inference(cnf_transformation,[],[f188]) ).
fof(f572,plain,
( spl20_7
| spl20_6 ),
inference(avatar_split_clause,[],[f400,f467,f471]) ).
fof(f400,plain,
! [X3] :
( ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,cS2043)
| aElementOf0(xn,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f341,f241,f241]) ).
fof(f341,plain,
! [X3] :
( aElementOf0(xn,sbsmnsldt0(xS))
| ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) ),
inference(cnf_transformation,[],[f188]) ).
fof(f571,plain,
( ~ spl20_7
| spl20_14 ),
inference(avatar_split_clause,[],[f399,f501,f471]) ).
fof(f399,plain,
( aElementOf0(sK16,cS2043)
| ~ aElementOf0(xn,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f342,f241,f241]) ).
fof(f342,plain,
( aElementOf0(sK16,xS)
| ~ aElementOf0(xn,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f188]) ).
fof(f569,plain,
( spl20_7
| ~ spl20_13 ),
inference(avatar_split_clause,[],[f405,f496,f471]) ).
fof(f405,plain,
( sz00 != sK17
| aElementOf0(xn,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f336,f241]) ).
fof(f336,plain,
( aElementOf0(xn,sbsmnsldt0(xS))
| sz00 != sK17 ),
inference(cnf_transformation,[],[f188]) ).
fof(f568,plain,
( spl20_26
| spl20_9 ),
inference(avatar_split_clause,[],[f369,f481,f566]) ).
fof(f369,plain,
! [X2,X0,X1] :
( aElementOf0(X0,cS2043)
| ~ isPrime0(X1)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| aInteger0(X2)
| sz00 = X1 ),
inference(definition_unfolding,[],[f237,f241]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ isPrime0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f141]) ).
fof(f564,plain,
( spl20_3
| spl20_5 ),
inference(avatar_split_clause,[],[f327,f462,f454]) ).
fof(f327,plain,
! [X1] :
( aDivisorOf0(sK17,xn)
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,xn) ),
inference(cnf_transformation,[],[f188]) ).
fof(f563,plain,
( ~ spl20_13
| spl20_2 ),
inference(avatar_split_clause,[],[f320,f450,f496]) ).
fof(f320,plain,
! [X2,X1] :
( ~ isPrime0(X1)
| sz00 != sK17
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sz00 = X1
| sdtasdt0(X1,X2) != xn ),
inference(cnf_transformation,[],[f188]) ).
fof(f562,plain,
( spl20_25
| spl20_9 ),
inference(avatar_split_clause,[],[f373,f481,f560]) ).
fof(f373,plain,
! [X2,X0,X1] :
( aElementOf0(X0,cS2043)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X1
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ),
inference(definition_unfolding,[],[f233,f241]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ isPrime0(X1)
| ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f141]) ).
fof(f558,plain,
( spl20_23
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f432,f555,f552]) ).
fof(f552,plain,
( spl20_23
<=> ! [X2] :
( ~ aDivisorOf0(X2,smndt0(sz10))
| ~ isPrime0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f432,plain,
! [X2] :
( ~ aInteger0(smndt0(sz10))
| ~ aDivisorOf0(X2,smndt0(sz10))
| ~ isPrime0(X2) ),
inference(equality_resolution,[],[f276]) ).
fof(f276,plain,
! [X2,X0] :
( ~ aInteger0(X0)
| smndt0(sz10) != X0
| ~ aDivisorOf0(X2,X0)
| ~ isPrime0(X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ( aDivisorOf0(sK12(X0),X0)
& isPrime0(sK12(X0)) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X2] :
( ~ aDivisorOf0(X2,X0)
| ~ isPrime0(X2) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f161,f162]) ).
fof(f162,plain,
! [X0] :
( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
=> ( aDivisorOf0(sK12(X0),X0)
& isPrime0(sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X2] :
( ~ aDivisorOf0(X2,X0)
| ~ isPrime0(X2) ) ) ) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X1] :
( ~ aDivisorOf0(X1,X0)
| ~ isPrime0(X1) ) ) ) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X1] :
( ~ aDivisorOf0(X1,X0)
| ~ isPrime0(X1) ) ) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
<=> ( smndt0(sz10) != X0
& sz10 != X0 ) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aInteger0(X0)
=> ( ? [X1] :
( aDivisorOf0(X1,X0)
& isPrime0(X1) )
<=> ( smndt0(sz10) != X0
& sz10 != X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimeDivisor) ).
fof(f550,plain,
( spl20_9
| spl20_22 ),
inference(avatar_split_clause,[],[f371,f548,f481]) ).
fof(f371,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| aElementOf0(X0,cS2043)
| ~ isPrime0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| sz00 = X1
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4)
| ~ aInteger0(X1) ),
inference(definition_unfolding,[],[f235,f241]) ).
fof(f235,plain,
! [X2,X0,X1,X4] :
( ~ isPrime0(X1)
| ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4)
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f141]) ).
fof(f546,plain,
( spl20_21
| spl20_9 ),
inference(avatar_split_clause,[],[f366,f481,f544]) ).
fof(f366,plain,
! [X2,X0,X1] :
( aElementOf0(X0,cS2043)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sz00 = X1
| ~ isPrime0(X1)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X2,sz00,X1) ),
inference(definition_unfolding,[],[f240,f241]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ isPrime0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f141]) ).
fof(f542,plain,
( ~ spl20_7
| spl20_2 ),
inference(avatar_split_clause,[],[f411,f450,f471]) ).
fof(f411,plain,
! [X2,X1] :
( sz00 = X1
| ~ aElementOf0(xn,sbsmnsldt0(cS2043))
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2) ),
inference(definition_unfolding,[],[f318,f241]) ).
fof(f318,plain,
! [X2,X1] :
( sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| ~ aElementOf0(xn,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f188]) ).
fof(f541,plain,
( spl20_2
| spl20_20 ),
inference(avatar_split_clause,[],[f322,f537,f450]) ).
fof(f322,plain,
! [X2,X1] :
( aInteger0(sK18)
| ~ aInteger0(X1)
| sdtasdt0(X1,X2) != xn
| sz00 = X1
| ~ isPrime0(X1)
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f540,plain,
( spl20_20
| spl20_14 ),
inference(avatar_split_clause,[],[f395,f501,f537]) ).
fof(f395,plain,
( aElementOf0(sK16,cS2043)
| aInteger0(sK18) ),
inference(definition_unfolding,[],[f346,f241]) ).
fof(f346,plain,
( aElementOf0(sK16,xS)
| aInteger0(sK18) ),
inference(cnf_transformation,[],[f188]) ).
fof(f535,plain,
( ~ spl20_7
| spl20_3 ),
inference(avatar_split_clause,[],[f409,f454,f471]) ).
fof(f409,plain,
! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,xn)
| ~ aElementOf0(xn,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f326,f241]) ).
fof(f326,plain,
! [X1] :
( ~ aDivisorOf0(X1,xn)
| ~ isPrime0(X1)
| ~ aElementOf0(xn,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f188]) ).
fof(f534,plain,
spl20_19,
inference(avatar_split_clause,[],[f297,f531]) ).
fof(f297,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(f529,plain,
( spl20_14
| spl20_8 ),
inference(avatar_split_clause,[],[f396,f476,f501]) ).
fof(f396,plain,
( xn = sdtasdt0(sK17,sK18)
| aElementOf0(sK16,cS2043) ),
inference(definition_unfolding,[],[f345,f241]) ).
fof(f345,plain,
( aElementOf0(sK16,xS)
| xn = sdtasdt0(sK17,sK18) ),
inference(cnf_transformation,[],[f188]) ).
fof(f528,plain,
spl20_18,
inference(avatar_split_clause,[],[f389,f525]) ).
fof(f389,plain,
aSet0(cS2043),
inference(definition_unfolding,[],[f217,f241]) ).
fof(f217,plain,
aSet0(xS),
inference(cnf_transformation,[],[f141]) ).
fof(f523,plain,
( spl20_9
| spl20_17 ),
inference(avatar_split_clause,[],[f374,f521,f481]) ).
fof(f521,plain,
( spl20_17
<=> ! [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f374,plain,
! [X0,X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| aElementOf0(X0,cS2043)
| ~ aInteger0(X1)
| sz00 = X1
| ~ isPrime0(X1) ),
inference(definition_unfolding,[],[f232,f241]) ).
fof(f232,plain,
! [X0,X1] :
( ~ isPrime0(X1)
| aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f141]) ).
fof(f519,plain,
( spl20_9
| spl20_16 ),
inference(avatar_split_clause,[],[f372,f517,f481]) ).
fof(f372,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| aElementOf0(X0,cS2043)
| ~ isPrime0(X1)
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| sz00 = X1
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ),
inference(definition_unfolding,[],[f234,f241]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ isPrime0(X1)
| ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f141]) ).
fof(f515,plain,
( spl20_2
| spl20_15 ),
inference(avatar_split_clause,[],[f324,f506,f450]) ).
fof(f324,plain,
! [X2,X1] :
( isPrime0(sK17)
| sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f514,plain,
( spl20_8
| spl20_2 ),
inference(avatar_split_clause,[],[f321,f450,f476]) ).
fof(f321,plain,
! [X2,X1] :
( ~ isPrime0(X1)
| xn = sdtasdt0(sK17,sK18)
| sz00 = X1
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X1,X2) != xn ),
inference(cnf_transformation,[],[f188]) ).
fof(f513,plain,
( spl20_7
| spl20_5 ),
inference(avatar_split_clause,[],[f406,f462,f471]) ).
fof(f406,plain,
( aDivisorOf0(sK17,xn)
| aElementOf0(xn,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f335,f241]) ).
fof(f335,plain,
( aElementOf0(xn,sbsmnsldt0(xS))
| aDivisorOf0(sK17,xn) ),
inference(cnf_transformation,[],[f188]) ).
fof(f512,plain,
( spl20_15
| spl20_4 ),
inference(avatar_split_clause,[],[f356,f458,f506]) ).
fof(f356,plain,
( aElementOf0(xn,sK16)
| isPrime0(sK17) ),
inference(cnf_transformation,[],[f188]) ).
fof(f511,plain,
( ~ spl20_13
| spl20_14 ),
inference(avatar_split_clause,[],[f397,f501,f496]) ).
fof(f397,plain,
( aElementOf0(sK16,cS2043)
| sz00 != sK17 ),
inference(definition_unfolding,[],[f344,f241]) ).
fof(f344,plain,
( aElementOf0(sK16,xS)
| sz00 != sK17 ),
inference(cnf_transformation,[],[f188]) ).
fof(f510,plain,
( spl20_8
| spl20_7 ),
inference(avatar_split_clause,[],[f404,f471,f476]) ).
fof(f404,plain,
( aElementOf0(xn,sbsmnsldt0(cS2043))
| xn = sdtasdt0(sK17,sK18) ),
inference(definition_unfolding,[],[f337,f241]) ).
fof(f337,plain,
( aElementOf0(xn,sbsmnsldt0(xS))
| xn = sdtasdt0(sK17,sK18) ),
inference(cnf_transformation,[],[f188]) ).
fof(f509,plain,
( spl20_15
| spl20_7 ),
inference(avatar_split_clause,[],[f401,f471,f506]) ).
fof(f401,plain,
( aElementOf0(xn,sbsmnsldt0(cS2043))
| isPrime0(sK17) ),
inference(definition_unfolding,[],[f340,f241]) ).
fof(f340,plain,
( aElementOf0(xn,sbsmnsldt0(xS))
| isPrime0(sK17) ),
inference(cnf_transformation,[],[f188]) ).
fof(f504,plain,
( spl20_14
| spl20_6 ),
inference(avatar_split_clause,[],[f392,f467,f501]) ).
fof(f392,plain,
! [X3] :
( ~ aElementOf0(X3,cS2043)
| aElementOf0(sK16,cS2043)
| ~ aElementOf0(xn,X3) ),
inference(definition_unfolding,[],[f349,f241,f241]) ).
fof(f349,plain,
! [X3] :
( aElementOf0(sK16,xS)
| ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) ),
inference(cnf_transformation,[],[f188]) ).
fof(f499,plain,
( ~ spl20_13
| spl20_4 ),
inference(avatar_split_clause,[],[f352,f458,f496]) ).
fof(f352,plain,
( aElementOf0(xn,sK16)
| sz00 != sK17 ),
inference(cnf_transformation,[],[f188]) ).
fof(f494,plain,
( ~ spl20_11
| spl20_12 ),
inference(avatar_split_clause,[],[f433,f492,f488]) ).
fof(f492,plain,
( spl20_12
<=> ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f433,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aInteger0(sz10)
| ~ aDivisorOf0(X2,sz10) ),
inference(equality_resolution,[],[f275]) ).
fof(f275,plain,
! [X2,X0] :
( ~ aInteger0(X0)
| sz10 != X0
| ~ aDivisorOf0(X2,X0)
| ~ isPrime0(X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f486,plain,
( spl20_9
| spl20_10 ),
inference(avatar_split_clause,[],[f370,f484,f481]) ).
fof(f484,plain,
( spl20_10
<=> ! [X2,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ~ isPrime0(X1)
| ~ aInteger0(X1)
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,cS2043)
| ~ isPrime0(X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ),
inference(definition_unfolding,[],[f236,f241]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ isPrime0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f141]) ).
fof(f479,plain,
( spl20_8
| spl20_4 ),
inference(avatar_split_clause,[],[f353,f458,f476]) ).
fof(f353,plain,
( aElementOf0(xn,sK16)
| xn = sdtasdt0(sK17,sK18) ),
inference(cnf_transformation,[],[f188]) ).
fof(f474,plain,
( spl20_1
| spl20_7 ),
inference(avatar_split_clause,[],[f402,f471,f446]) ).
fof(f402,plain,
( aElementOf0(xn,sbsmnsldt0(cS2043))
| aInteger0(sK17) ),
inference(definition_unfolding,[],[f339,f241]) ).
fof(f339,plain,
( aElementOf0(xn,sbsmnsldt0(xS))
| aInteger0(sK17) ),
inference(cnf_transformation,[],[f188]) ).
fof(f469,plain,
( spl20_2
| spl20_6 ),
inference(avatar_split_clause,[],[f410,f467,f450]) ).
fof(f410,plain,
! [X2,X3,X1] :
( ~ aElementOf0(xn,X3)
| ~ aInteger0(X1)
| sz00 = X1
| ~ aElementOf0(X3,cS2043)
| ~ aInteger0(X2)
| ~ isPrime0(X1)
| sdtasdt0(X1,X2) != xn ),
inference(definition_unfolding,[],[f325,f241]) ).
fof(f325,plain,
! [X2,X3,X1] :
( sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) ),
inference(cnf_transformation,[],[f188]) ).
fof(f465,plain,
( spl20_4
| spl20_5 ),
inference(avatar_split_clause,[],[f351,f462,f458]) ).
fof(f351,plain,
( aDivisorOf0(sK17,xn)
| aElementOf0(xn,sK16) ),
inference(cnf_transformation,[],[f188]) ).
fof(f456,plain,
( spl20_3
| spl20_1 ),
inference(avatar_split_clause,[],[f331,f446,f454]) ).
fof(f331,plain,
! [X1] :
( aInteger0(sK17)
| ~ aDivisorOf0(X1,xn)
| ~ isPrime0(X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f452,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f323,f450,f446]) ).
fof(f323,plain,
! [X2,X1] :
( sz00 = X1
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| ~ aInteger0(X2)
| aInteger0(sK17)
| sdtasdt0(X1,X2) != xn ),
inference(cnf_transformation,[],[f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM447+5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 06:30:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.56 % (30197)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57 % (30185)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.59 % (30187)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (30198)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.59 % (30204)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.59 % (30192)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.59 % (30192)Instruction limit reached!
% 0.20/0.59 % (30192)------------------------------
% 0.20/0.59 % (30192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (30192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (30192)Termination reason: Unknown
% 0.20/0.59 % (30192)Termination phase: Preprocessing 2
% 0.20/0.59
% 0.20/0.59 % (30192)Memory used [KB]: 1023
% 0.20/0.59 % (30192)Time elapsed: 0.003 s
% 0.20/0.59 % (30192)Instructions burned: 2 (million)
% 0.20/0.59 % (30192)------------------------------
% 0.20/0.59 % (30192)------------------------------
% 1.73/0.60 % (30195)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.73/0.60 % (30193)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.60 % (30205)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.73/0.60 % (30184)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.73/0.60 % (30185)Refutation not found, incomplete strategy% (30185)------------------------------
% 1.73/0.60 % (30185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (30189)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.73/0.61 % (30207)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 2.01/0.61 % (30185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61 % (30185)Termination reason: Refutation not found, incomplete strategy
% 2.01/0.61
% 2.01/0.61 % (30185)Memory used [KB]: 5884
% 2.01/0.61 % (30185)Time elapsed: 0.176 s
% 2.01/0.61 % (30185)Instructions burned: 15 (million)
% 2.01/0.61 % (30185)------------------------------
% 2.01/0.61 % (30185)------------------------------
% 2.01/0.62 % (30186)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 2.01/0.62 % (30188)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.01/0.62 % (30201)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.01/0.62 % (30190)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.01/0.62 % (30199)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 2.01/0.62 % (30194)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.01/0.63 % (30200)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.01/0.63 % (30209)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.01/0.63 % (30212)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.01/0.63 % (30196)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.01/0.63 % (30213)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.01/0.63 % (30206)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 2.01/0.63 % (30210)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.01/0.64 % (30208)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.01/0.64 % (30211)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.01/0.64 % (30203)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.01/0.64 % (30202)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.01/0.64 % (30191)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.32/0.66 TRYING [1]
% 2.32/0.66 TRYING [2]
% 2.32/0.67 % (30191)Instruction limit reached!
% 2.32/0.67 % (30191)------------------------------
% 2.32/0.67 % (30191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67 % (30191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (30191)Termination reason: Unknown
% 2.32/0.67 % (30191)Termination phase: Saturation
% 2.32/0.67
% 2.32/0.67 % (30191)Memory used [KB]: 5628
% 2.32/0.67 % (30191)Time elapsed: 0.007 s
% 2.32/0.67 % (30191)Instructions burned: 8 (million)
% 2.32/0.67 % (30191)------------------------------
% 2.32/0.67 % (30191)------------------------------
% 2.32/0.67 TRYING [1]
% 2.32/0.68 TRYING [2]
% 2.32/0.68 TRYING [1]
% 2.32/0.68 % (30187)Instruction limit reached!
% 2.32/0.68 % (30187)------------------------------
% 2.32/0.68 % (30187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68 % (30187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68 % (30187)Termination reason: Unknown
% 2.32/0.68 % (30187)Termination phase: Saturation
% 2.32/0.68
% 2.32/0.68 % (30187)Memory used [KB]: 6524
% 2.32/0.68 % (30187)Time elapsed: 0.232 s
% 2.32/0.68 % (30187)Instructions burned: 52 (million)
% 2.32/0.68 % (30187)------------------------------
% 2.32/0.68 % (30187)------------------------------
% 2.32/0.70 TRYING [2]
% 2.32/0.70 % (30186)Instruction limit reached!
% 2.32/0.70 % (30186)------------------------------
% 2.32/0.70 % (30186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.70 % (30186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.70 % (30186)Termination reason: Unknown
% 2.32/0.70 % (30186)Termination phase: Saturation
% 2.32/0.70
% 2.32/0.70 % (30186)Memory used [KB]: 1535
% 2.32/0.70 % (30186)Time elapsed: 0.276 s
% 2.32/0.70 % (30186)Instructions burned: 37 (million)
% 2.32/0.70 % (30186)------------------------------
% 2.32/0.70 % (30186)------------------------------
% 2.32/0.71 % (30189)Instruction limit reached!
% 2.32/0.71 % (30189)------------------------------
% 2.32/0.71 % (30189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.71 % (30189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.71 % (30189)Termination reason: Unknown
% 2.32/0.71 % (30189)Termination phase: Saturation
% 2.32/0.71
% 2.32/0.71 % (30189)Memory used [KB]: 6396
% 2.32/0.71 % (30189)Time elapsed: 0.262 s
% 2.32/0.71 % (30189)Instructions burned: 49 (million)
% 2.32/0.71 % (30189)------------------------------
% 2.32/0.71 % (30189)------------------------------
% 2.32/0.71 % (30193)Instruction limit reached!
% 2.32/0.71 % (30193)------------------------------
% 2.32/0.71 % (30193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.71 % (30193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.71 % (30193)Termination reason: Unknown
% 2.32/0.71 % (30193)Termination phase: Saturation
% 2.32/0.71
% 2.32/0.71 % (30193)Memory used [KB]: 1791
% 2.32/0.71 % (30193)Time elapsed: 0.289 s
% 2.32/0.71 % (30193)Instructions burned: 51 (million)
% 2.32/0.71 % (30193)------------------------------
% 2.32/0.71 % (30193)------------------------------
% 2.32/0.72 TRYING [3]
% 2.32/0.72 % (30188)Instruction limit reached!
% 2.32/0.72 % (30188)------------------------------
% 2.32/0.72 % (30188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.72 % (30188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.72 % (30188)Termination reason: Unknown
% 2.32/0.72 % (30188)Termination phase: Saturation
% 2.32/0.72
% 2.32/0.72 % (30188)Memory used [KB]: 6652
% 2.32/0.72 % (30188)Time elapsed: 0.268 s
% 2.32/0.72 % (30188)Instructions burned: 52 (million)
% 2.32/0.72 % (30188)------------------------------
% 2.32/0.72 % (30188)------------------------------
% 2.32/0.72 TRYING [3]
% 2.32/0.72 % (30190)Instruction limit reached!
% 2.32/0.72 % (30190)------------------------------
% 2.32/0.72 % (30190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.73 % (30190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.73 % (30190)Termination reason: Unknown
% 2.32/0.73 % (30190)Termination phase: Finite model building constraint generation
% 2.32/0.73
% 2.32/0.73 % (30190)Memory used [KB]: 7547
% 2.32/0.73 % (30190)Time elapsed: 0.292 s
% 2.32/0.73 % (30190)Instructions burned: 53 (million)
% 2.32/0.73 % (30190)------------------------------
% 2.32/0.73 % (30190)------------------------------
% 2.32/0.74 % (30198)Instruction limit reached!
% 2.32/0.74 % (30198)------------------------------
% 2.32/0.74 % (30198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.74 TRYING [3]
% 2.32/0.74 % (30197)Instruction limit reached!
% 2.32/0.74 % (30197)------------------------------
% 2.32/0.74 % (30197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.74 % (30197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.74 % (30197)Termination reason: Unknown
% 2.32/0.74 % (30197)Termination phase: Saturation
% 2.32/0.74
% 2.32/0.74 % (30197)Memory used [KB]: 7036
% 2.32/0.74 % (30197)Time elapsed: 0.309 s
% 2.32/0.74 % (30197)Instructions burned: 101 (million)
% 2.32/0.74 % (30197)------------------------------
% 2.32/0.74 % (30197)------------------------------
% 2.95/0.74 % (30201)Instruction limit reached!
% 2.95/0.74 % (30201)------------------------------
% 2.95/0.74 % (30201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.74 % (30201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.74 % (30201)Termination reason: Unknown
% 2.95/0.74 % (30201)Termination phase: Finite model building constraint generation
% 2.95/0.74
% 2.95/0.74 % (30201)Memory used [KB]: 7675
% 2.95/0.74 % (30201)Time elapsed: 0.311 s
% 2.95/0.74 % (30201)Instructions burned: 60 (million)
% 2.95/0.74 % (30201)------------------------------
% 2.95/0.74 % (30201)------------------------------
% 2.95/0.75 % (30198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.75 % (30198)Termination reason: Unknown
% 2.95/0.75 % (30198)Termination phase: Saturation
% 2.95/0.75
% 2.95/0.75 % (30198)Memory used [KB]: 6780
% 2.95/0.75 % (30198)Time elapsed: 0.048 s
% 2.95/0.75 % (30198)Instructions burned: 70 (million)
% 2.95/0.75 % (30198)------------------------------
% 2.95/0.75 % (30198)------------------------------
% 2.95/0.75 % (30194)Instruction limit reached!
% 2.95/0.75 % (30194)------------------------------
% 2.95/0.75 % (30194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.75 % (30194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.75 % (30194)Termination reason: Unknown
% 2.95/0.75 % (30194)Termination phase: Saturation
% 2.95/0.75
% 2.95/0.75 % (30194)Memory used [KB]: 6652
% 2.95/0.75 % (30194)Time elapsed: 0.325 s
% 2.95/0.75 % (30194)Instructions burned: 50 (million)
% 2.95/0.75 % (30194)------------------------------
% 2.95/0.75 % (30194)------------------------------
% 2.95/0.75 % (30247)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.95/0.76 % (30246)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.95/0.77 % (30204)Instruction limit reached!
% 2.95/0.77 % (30204)------------------------------
% 2.95/0.77 % (30204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.77 % (30204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.77 % (30204)Termination reason: Unknown
% 2.95/0.77 % (30204)Termination phase: Saturation
% 2.95/0.77
% 2.95/0.77 % (30204)Memory used [KB]: 6268
% 2.95/0.77 % (30204)Time elapsed: 0.323 s
% 2.95/0.77 % (30204)Instructions burned: 179 (million)
% 2.95/0.77 % (30204)------------------------------
% 2.95/0.77 % (30204)------------------------------
% 2.95/0.77 % (30210)Instruction limit reached!
% 2.95/0.77 % (30210)------------------------------
% 2.95/0.77 % (30210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.77 % (30210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.77 % (30210)Termination reason: Unknown
% 2.95/0.77 % (30210)Termination phase: Saturation
% 2.95/0.77
% 2.95/0.77 % (30210)Memory used [KB]: 6780
% 2.95/0.77 % (30210)Time elapsed: 0.043 s
% 2.95/0.77 % (30210)Instructions burned: 68 (million)
% 2.95/0.77 % (30210)------------------------------
% 2.95/0.77 % (30210)------------------------------
% 2.95/0.78 % (30199)Instruction limit reached!
% 2.95/0.78 % (30199)------------------------------
% 2.95/0.78 % (30199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.78 % (30199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.78 % (30199)Termination reason: Unknown
% 2.95/0.78 % (30199)Termination phase: Saturation
% 2.95/0.78
% 2.95/0.78 % (30199)Memory used [KB]: 1791
% 2.95/0.78 % (30199)Time elapsed: 0.299 s
% 2.95/0.78 % (30199)Instructions burned: 75 (million)
% 2.95/0.78 % (30199)------------------------------
% 2.95/0.78 % (30199)------------------------------
% 3.18/0.78 % (30195)Instruction limit reached!
% 3.18/0.78 % (30195)------------------------------
% 3.18/0.78 % (30195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.78 % (30195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.78 % (30195)Termination reason: Unknown
% 3.18/0.78 % (30195)Termination phase: Saturation
% 3.18/0.78
% 3.18/0.78 % (30195)Memory used [KB]: 7164
% 3.18/0.78 % (30195)Time elapsed: 0.338 s
% 3.18/0.78 % (30195)Instructions burned: 100 (million)
% 3.18/0.78 % (30195)------------------------------
% 3.18/0.78 % (30195)------------------------------
% 3.18/0.80 % (30252)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.18/0.80 % (30250)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.18/0.81 % (30251)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.18/0.82 % (30203)Instruction limit reached!
% 3.18/0.82 % (30203)------------------------------
% 3.18/0.82 % (30203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.82 % (30203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.82 % (30203)Termination reason: Unknown
% 3.18/0.82 % (30203)Termination phase: Saturation
% 3.18/0.82
% 3.18/0.82 % (30203)Memory used [KB]: 2174
% 3.18/0.82 % (30203)Time elapsed: 0.395 s
% 3.18/0.82 % (30203)Instructions burned: 102 (million)
% 3.18/0.82 % (30203)------------------------------
% 3.18/0.82 % (30203)------------------------------
% 3.18/0.82 % (30257)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.18/0.83 % (30260)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.36/0.85 % (30264)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.42/0.85 % (30196)Instruction limit reached!
% 3.42/0.85 % (30196)------------------------------
% 3.42/0.85 % (30196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.85 % (30196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.85 % (30196)Termination reason: Unknown
% 3.42/0.85 % (30196)Termination phase: Saturation
% 3.42/0.85
% 3.42/0.85 % (30196)Memory used [KB]: 7291
% 3.42/0.85 % (30196)Time elapsed: 0.428 s
% 3.42/0.85 % (30196)Instructions burned: 102 (million)
% 3.42/0.85 % (30196)------------------------------
% 3.42/0.85 % (30196)------------------------------
% 3.42/0.85 % (30200)Instruction limit reached!
% 3.42/0.85 % (30200)------------------------------
% 3.42/0.85 % (30200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.85 % (30200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.85 % (30200)Termination reason: Unknown
% 3.42/0.85 % (30200)Termination phase: Saturation
% 3.42/0.85
% 3.42/0.85 % (30200)Memory used [KB]: 7036
% 3.42/0.85 % (30200)Time elapsed: 0.409 s
% 3.42/0.85 % (30200)Instructions burned: 99 (million)
% 3.42/0.85 % (30200)------------------------------
% 3.42/0.85 % (30200)------------------------------
% 3.42/0.86 TRYING [4]
% 3.42/0.86 % (30268)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.42/0.86 % (30294)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.42/0.87 % (30202)Instruction limit reached!
% 3.42/0.87 % (30202)------------------------------
% 3.42/0.87 % (30202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.87 % (30202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.87 % (30202)Termination reason: Unknown
% 3.42/0.87 % (30202)Termination phase: Saturation
% 3.42/0.87
% 3.42/0.87 % (30202)Memory used [KB]: 6780
% 3.42/0.87 % (30202)Time elapsed: 0.420 s
% 3.42/0.87 % (30202)Instructions burned: 100 (million)
% 3.42/0.87 % (30202)------------------------------
% 3.42/0.87 % (30202)------------------------------
% 3.42/0.87 % (30205)Instruction limit reached!
% 3.42/0.87 % (30205)------------------------------
% 3.42/0.87 % (30205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.87 % (30205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.87 % (30205)Termination reason: Unknown
% 3.42/0.87 % (30205)Termination phase: Saturation
% 3.42/0.87
% 3.42/0.87 % (30205)Memory used [KB]: 7164
% 3.42/0.87 % (30205)Time elapsed: 0.441 s
% 3.42/0.87 % (30205)Instructions burned: 139 (million)
% 3.42/0.87 % (30205)------------------------------
% 3.42/0.87 % (30205)------------------------------
% 3.42/0.88 % (30283)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.42/0.88 % (30298)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.42/0.89 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.42/0.89 % (30279)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.42/0.89 % (30286)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.42/0.91 % (30301)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.42/0.91 % (30303)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.42/0.91 % (30211)Instruction limit reached!
% 3.42/0.91 % (30211)------------------------------
% 3.42/0.91 % (30211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.91 % (30211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.91 % (30211)Termination reason: Unknown
% 3.42/0.91 % (30211)Termination phase: Saturation
% 3.42/0.91
% 3.42/0.91 % (30211)Memory used [KB]: 2814
% 3.42/0.91 % (30211)Time elapsed: 0.441 s
% 3.42/0.91 % (30211)Instructions burned: 178 (million)
% 3.42/0.91 % (30211)------------------------------
% 3.42/0.91 % (30211)------------------------------
% 3.60/0.92 % (30305)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.60/0.96 % (30250)Instruction limit reached!
% 3.60/0.96 % (30250)------------------------------
% 3.60/0.96 % (30250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.60/0.96 % (30250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.60/0.96 % (30250)Termination reason: Unknown
% 3.60/0.96 % (30250)Termination phase: Saturation
% 3.60/0.96
% 3.60/0.96 % (30250)Memory used [KB]: 7036
% 3.60/0.96 % (30250)Time elapsed: 0.231 s
% 3.60/0.96 % (30250)Instructions burned: 90 (million)
% 3.60/0.96 % (30250)------------------------------
% 3.60/0.96 % (30250)------------------------------
% 3.77/0.96 % (30322)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.77/0.98 % (30340)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.77/0.98 % (30341)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.77/0.99 % (30352)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.77/1.00 % (30264)Instruction limit reached!
% 3.77/1.00 % (30264)------------------------------
% 3.77/1.00 % (30264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.77/1.00 % (30264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.77/1.00 % (30264)Termination reason: Unknown
% 3.77/1.00 % (30264)Termination phase: Saturation
% 3.77/1.00
% 3.77/1.00 % (30264)Memory used [KB]: 6780
% 3.77/1.00 % (30264)Time elapsed: 0.037 s
% 3.77/1.00 % (30264)Instructions burned: 68 (million)
% 3.77/1.00 % (30264)------------------------------
% 3.77/1.00 % (30264)------------------------------
% 3.77/1.00 % (30348)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.77/1.01 % (30283)Instruction limit reached!
% 3.77/1.01 % (30283)------------------------------
% 3.77/1.01 % (30283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.77/1.01 % (30283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.77/1.01 % (30283)Termination reason: Unknown
% 3.77/1.01 % (30283)Termination phase: Saturation
% 3.77/1.01
% 3.77/1.02 % (30283)Memory used [KB]: 6780
% 3.77/1.02 % (30283)Time elapsed: 0.243 s
% 3.77/1.02 % (30283)Instructions burned: 90 (million)
% 3.77/1.02 % (30283)------------------------------
% 3.77/1.02 % (30283)------------------------------
% 4.04/1.04 % (30385)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 4.04/1.05 % (30408)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 4.04/1.06 % (30247)Instruction limit reached!
% 4.04/1.06 % (30247)------------------------------
% 4.04/1.06 % (30247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.04/1.06 % (30247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.04/1.06 % (30247)Termination reason: Unknown
% 4.04/1.06 % (30247)Termination phase: Saturation
% 4.04/1.06
% 4.04/1.06 % (30247)Memory used [KB]: 2942
% 4.04/1.06 % (30247)Time elapsed: 0.387 s
% 4.04/1.06 % (30247)Instructions burned: 212 (million)
% 4.04/1.06 % (30247)------------------------------
% 4.04/1.06 % (30247)------------------------------
% 4.04/1.08 % (30322)Instruction limit reached!
% 4.04/1.08 % (30322)------------------------------
% 4.04/1.08 % (30322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.04/1.08 % (30322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.04/1.08 % (30322)Termination reason: Unknown
% 4.04/1.08 % (30322)Termination phase: Saturation
% 4.04/1.08
% 4.04/1.08 % (30322)Memory used [KB]: 6780
% 4.04/1.08 % (30322)Time elapsed: 0.035 s
% 4.04/1.08 % (30322)Instructions burned: 68 (million)
% 4.04/1.08 % (30322)------------------------------
% 4.04/1.08 % (30322)------------------------------
% 4.30/1.12 % (30427)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 4.30/1.13 % (30422)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 6.32/1.17 % (30437)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 6.32/1.19 % (30385)Instruction limit reached!
% 6.32/1.19 % (30385)------------------------------
% 6.32/1.19 % (30385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.32/1.19 % (30385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.32/1.19 % (30385)Termination reason: Unknown
% 6.32/1.19 % (30385)Termination phase: Saturation
% 6.32/1.19
% 6.32/1.19 % (30385)Memory used [KB]: 6652
% 6.32/1.19 % (30385)Time elapsed: 0.262 s
% 6.32/1.19 % (30385)Instructions burned: 90 (million)
% 6.32/1.19 % (30385)------------------------------
% 6.32/1.19 % (30385)------------------------------
% 6.32/1.21 % (30206)Instruction limit reached!
% 6.32/1.21 % (30206)------------------------------
% 6.32/1.21 % (30206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.32/1.21 % (30206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.32/1.21 % (30206)Termination reason: Unknown
% 6.32/1.21 % (30206)Termination phase: Saturation
% 6.32/1.21
% 6.32/1.21 % (30206)Memory used [KB]: 2430
% 6.32/1.21 % (30206)Time elapsed: 0.789 s
% 6.32/1.21 % (30206)Instructions burned: 501 (million)
% 6.32/1.21 % (30206)------------------------------
% 6.32/1.21 % (30206)------------------------------
% 6.32/1.21 % (30443)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.85/1.26 TRYING [5]
% 7.09/1.28 % (30298)First to succeed.
% 7.09/1.29 % (30298)Refutation found. Thanks to Tanya!
% 7.09/1.29 % SZS status Theorem for theBenchmark
% 7.09/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 7.09/1.30 % (30298)------------------------------
% 7.09/1.30 % (30298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.09/1.30 % (30298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.09/1.30 % (30298)Termination reason: Refutation
% 7.09/1.30
% 7.09/1.30 % (30298)Memory used [KB]: 2046
% 7.09/1.30 % (30298)Time elapsed: 0.453 s
% 7.09/1.30 % (30298)Instructions burned: 379 (million)
% 7.09/1.30 % (30298)------------------------------
% 7.09/1.30 % (30298)------------------------------
% 7.09/1.30 % (30183)Success in time 0.94 s
%------------------------------------------------------------------------------