TSTP Solution File: NUM447+5 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n020.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 17:59:38 EDT 2022
% Result : Theorem 1.59s 0.61s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 38
% Syntax : Number of formulae : 199 ( 8 unt; 0 def)
% Number of atoms : 1002 ( 189 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 1277 ( 474 ~; 472 |; 277 &)
% ( 25 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 26 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 212 ( 154 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1548,plain,
$false,
inference(avatar_sat_refutation,[],[f466,f485,f486,f492,f502,f519,f523,f525,f526,f528,f529,f530,f561,f566,f570,f575,f584,f585,f588,f630,f684,f687,f739,f755,f975,f977,f1027,f1045,f1058,f1059,f1083,f1088,f1089,f1143,f1199,f1421,f1491,f1526,f1547]) ).
fof(f1547,plain,
( spl20_11
| ~ spl20_3
| ~ spl20_1
| spl20_121 ),
inference(avatar_split_clause,[],[f1546,f1520,f450,f459,f499]) ).
fof(f499,plain,
( spl20_11
<=> sz00 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f459,plain,
( spl20_3
<=> aInteger0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f450,plain,
( spl20_1
<=> isPrime0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f1520,plain,
( spl20_121
<=> aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,sK1),cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_121])]) ).
fof(f1546,plain,
( ~ isPrime0(sK1)
| ~ aInteger0(sK1)
| sz00 = sK1
| spl20_121 ),
inference(resolution,[],[f1522,f443]) ).
fof(f443,plain,
! [X5] :
( aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,X5),cS2043)
| ~ aInteger0(X5)
| ~ isPrime0(X5)
| sz00 = X5 ),
inference(equality_resolution,[],[f405]) ).
fof(f405,plain,
! [X0,X5] :
( aElementOf0(X0,cS2043)
| ~ aInteger0(X5)
| ~ isPrime0(X5)
| sz00 = X5
| szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0 ),
inference(definition_unfolding,[],[f344,f334]) ).
fof(f334,plain,
xS = cS2043,
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ! [X0] :
( ( ( isPrime0(sK16(X0))
& szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,sK16(X0))
& ! [X3] :
( ~ aInteger0(X3)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(sK16(X0),X3) )
& ~ aDivisorOf0(sK16(X0),sdtpldt0(X2,smndt0(sz00))) )
| ~ aInteger0(X2) )
& ( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| ( sdteqdtlpzmzozddtrp0(X2,sz00,sK16(X0))
& aDivisorOf0(sK16(X0),sdtpldt0(X2,smndt0(sz00)))
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(sK16(X0),sK17(X0,X2))
& aInteger0(sK17(X0,X2))
& aInteger0(X2) ) ) )
& sz00 != sK16(X0)
& aInteger0(sK16(X0)) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ aInteger0(X5)
| ~ isPrime0(X5)
| sz00 = X5
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& aInteger0(X6)
& aInteger0(sK18(X5,X6))
& sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,sK18(X5,X6))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ! [X8] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8)
| ~ aInteger0(X8) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ aInteger0(X6) ) ) ) ) ) )
& xS = cS2043
& aSet0(xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f189,f192,f191,f190]) ).
fof(f190,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) )
| ~ aInteger0(X2) )
& ( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) ) ) )
& sz00 != X1
& aInteger0(X1) )
=> ( isPrime0(sK16(X0))
& szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,sK16(X0))
& ! [X3] :
( ~ aInteger0(X3)
| sdtpldt0(X2,smndt0(sz00)) != sdtasdt0(sK16(X0),X3) )
& ~ aDivisorOf0(sK16(X0),sdtpldt0(X2,smndt0(sz00))) )
| ~ aInteger0(X2) )
& ( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| ( sdteqdtlpzmzozddtrp0(X2,sz00,sK16(X0))
& aDivisorOf0(sK16(X0),sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(sK16(X0),X4)
& aInteger0(X4) )
& aInteger0(X2) ) ) )
& sz00 != sK16(X0)
& aInteger0(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
! [X0,X2] :
( ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(sK16(X0),X4)
& aInteger0(X4) )
=> ( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(sK16(X0),sK17(X0,X2))
& aInteger0(sK17(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X5,X6] :
( ? [X7] :
( aInteger0(X7)
& sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00)) )
=> ( aInteger0(sK18(X5,X6))
& sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,sK18(X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
( ! [X0] :
( ( ? [X1] :
( isPrime0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) )
| ~ aInteger0(X2) )
& ( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) ) ) )
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ aInteger0(X5)
| ~ isPrime0(X5)
| sz00 = X5
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00)) )
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ! [X8] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8)
| ~ aInteger0(X8) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5) )
| ~ aInteger0(X6) ) ) ) ) ) )
& xS = cS2043
& aSet0(xS) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
( ! [X0] :
( ( ? [X5] :
( isPrime0(X5)
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ! [X7] :
( ~ aInteger0(X7)
| sdtasdt0(X5,X7) != sdtpldt0(X6,smndt0(sz00)) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) )
| ~ aInteger0(X6) )
& ( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) ) ) )
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X1] :
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| sz00 = X1
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4) )
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aInteger0(X2) ) ) ) ) ) )
& xS = cS2043
& aSet0(xS) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
( ! [X0] :
( ( ? [X5] :
( aInteger0(X5)
& isPrime0(X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& sz00 != X5
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ! [X7] :
( ~ aInteger0(X7)
| sdtasdt0(X5,X7) != sdtpldt0(X6,smndt0(sz00)) )
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) )
& ( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) ) ) ) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X1] :
( ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1)
| ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2)
| ( ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
& ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4) )
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) ) ) ) ) )
& xS = cS2043
& aSet0(xS) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
( ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X5] :
( aInteger0(X5)
& isPrime0(X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& sz00 != X5
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( ( aInteger0(X6)
& ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
| ? [X7] :
( aInteger0(X7)
& sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00)) )
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
=> ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) ) ) ) ) )
& ( ? [X1] :
( isPrime0(X1)
& sz00 != X1
& aInteger0(X1)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( aInteger0(X2)
& ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) ) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4) )
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 ) )
=> aElementOf0(X0,xS) ) )
& xS = cS2043
& aSet0(xS) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( aInteger0(X2)
& ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) ) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aInteger0(X2) ) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
& sz00 != X1
& aInteger0(X1)
& isPrime0(X1) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ? [X1] :
( sz00 != X1
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& aInteger0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& ! [X2] :
( ( ( 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)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) ) )
& isPrime0(X1) ) ) )
& xS = cS2043 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
fof(f344,plain,
! [X0,X5] :
( aElementOf0(X0,xS)
| ~ aInteger0(X5)
| ~ isPrime0(X5)
| sz00 = X5
| szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1522,plain,
( ~ aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,sK1),cS2043)
| spl20_121 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1526,plain,
( ~ spl20_121
| ~ spl20_15
| ~ spl20_117 ),
inference(avatar_split_clause,[],[f1496,f1488,f521,f1520]) ).
fof(f521,plain,
( spl20_15
<=> ! [X3] :
( ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,cS2043) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f1488,plain,
( spl20_117
<=> aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_117])]) ).
fof(f1496,plain,
( ~ aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,sK1),cS2043)
| ~ spl20_15
| ~ spl20_117 ),
inference(resolution,[],[f1490,f522]) ).
fof(f522,plain,
( ! [X3] :
( ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,cS2043) )
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f1490,plain,
( aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,sK1))
| ~ spl20_117 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f1491,plain,
( spl20_117
| ~ spl20_29
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f1486,f1141,f621,f1488]) ).
fof(f621,plain,
( spl20_29
<=> aInteger0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f1141,plain,
( spl20_85
<=> ! [X11] :
( xn != sdtpldt0(X11,sz00)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,sK1))
| ~ aInteger0(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f1486,plain,
( ~ aInteger0(xn)
| aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,sK1))
| ~ spl20_85 ),
inference(equality_resolution,[],[f1454]) ).
fof(f1454,plain,
( ! [X0] :
( xn != X0
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sK1)) )
| ~ spl20_85 ),
inference(duplicate_literal_removal,[],[f1451]) ).
fof(f1451,plain,
( ! [X0] :
( ~ aInteger0(X0)
| ~ aInteger0(X0)
| xn != X0
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sK1)) )
| ~ spl20_85 ),
inference(superposition,[],[f1142,f359]) ).
fof(f359,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f1142,plain,
( ! [X11] :
( xn != sdtpldt0(X11,sz00)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,sK1))
| ~ aInteger0(X11) )
| ~ spl20_85 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1421,plain,
( spl20_60
| ~ spl20_52 ),
inference(avatar_split_clause,[],[f1413,f802,f918]) ).
fof(f918,plain,
( spl20_60
<=> ! [X4] :
( ~ aElementOf0(X4,cS2043)
| ~ aInteger0(sK16(X4))
| ~ aElementOf0(xn,X4)
| ~ isPrime0(sK16(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
fof(f802,plain,
( spl20_52
<=> ! [X0] :
( ~ aInteger0(sK16(X0))
| ~ aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| ~ aInteger0(sK17(X0,xn))
| sz00 = sK16(X0)
| ~ aElementOf0(X0,cS2043)
| ~ isPrime0(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_52])]) ).
fof(f1413,plain,
( ! [X10] :
( ~ isPrime0(sK16(X10))
| ~ aElementOf0(X10,cS2043)
| ~ aElementOf0(xn,X10)
| ~ aInteger0(sK16(X10)) )
| ~ spl20_52 ),
inference(trivial_inequality_removal,[],[f1412]) ).
fof(f1412,plain,
( ! [X10] :
( ~ aElementOf0(X10,cS2043)
| sz00 != sz00
| ~ aElementOf0(xn,X10)
| ~ aInteger0(sK16(X10))
| ~ isPrime0(sK16(X10)) )
| ~ spl20_52 ),
inference(duplicate_literal_removal,[],[f1388]) ).
fof(f1388,plain,
( ! [X10] :
( ~ aInteger0(sK16(X10))
| ~ isPrime0(sK16(X10))
| sz00 != sz00
| ~ aElementOf0(X10,cS2043)
| ~ aElementOf0(X10,cS2043)
| ~ aElementOf0(xn,X10) )
| ~ spl20_52 ),
inference(superposition,[],[f403,f1381]) ).
fof(f1381,plain,
( ! [X0] :
( sz00 = sK16(X0)
| ~ aElementOf0(xn,X0)
| ~ isPrime0(sK16(X0))
| ~ aInteger0(sK16(X0))
| ~ aElementOf0(X0,cS2043) )
| ~ spl20_52 ),
inference(duplicate_literal_removal,[],[f1380]) ).
fof(f1380,plain,
( ! [X0] :
( ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(X0,cS2043)
| ~ aInteger0(sK16(X0))
| ~ aElementOf0(xn,X0)
| ~ aElementOf0(xn,X0)
| sz00 = sK16(X0)
| ~ isPrime0(sK16(X0)) )
| ~ spl20_52 ),
inference(resolution,[],[f608,f1123]) ).
fof(f1123,plain,
( ! [X0] :
( ~ aInteger0(sK17(X0,xn))
| ~ aElementOf0(xn,X0)
| ~ isPrime0(sK16(X0))
| ~ aInteger0(sK16(X0))
| sz00 = sK16(X0)
| ~ aElementOf0(X0,cS2043) )
| ~ spl20_52 ),
inference(duplicate_literal_removal,[],[f1121]) ).
fof(f1121,plain,
( ! [X0] :
( ~ aInteger0(sK17(X0,xn))
| ~ isPrime0(sK16(X0))
| sz00 = sK16(X0)
| ~ aElementOf0(xn,X0)
| ~ aInteger0(sK16(X0))
| ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(X0,cS2043) )
| ~ spl20_52 ),
inference(superposition,[],[f803,f393]) ).
fof(f393,plain,
! [X0] :
( szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)) = X0
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f356,f334]) ).
fof(f356,plain,
! [X0] :
( szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)) = X0
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f193]) ).
fof(f803,plain,
( ! [X0] :
( ~ aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| ~ aElementOf0(X0,cS2043)
| ~ aInteger0(sK17(X0,xn))
| ~ aInteger0(sK16(X0))
| ~ isPrime0(sK16(X0))
| sz00 = sK16(X0) )
| ~ spl20_52 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f608,plain,
! [X0,X1] :
( aInteger0(sK17(X0,X1))
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X0,cS2043) ),
inference(duplicate_literal_removal,[],[f607]) ).
fof(f607,plain,
! [X0,X1] :
( ~ aElementOf0(X0,cS2043)
| aInteger0(sK17(X0,X1))
| ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(X1,X0) ),
inference(superposition,[],[f401,f393]) ).
fof(f401,plain,
! [X2,X0] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| aInteger0(sK17(X0,X2))
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f348,f334]) ).
fof(f348,plain,
! [X2,X0] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| aInteger0(sK17(X0,X2))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f193]) ).
fof(f403,plain,
! [X0] :
( sz00 != sK16(X0)
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f346,f334]) ).
fof(f346,plain,
! [X0] :
( sz00 != sK16(X0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f193]) ).
fof(f1199,plain,
( ~ spl20_29
| spl20_52
| ~ spl20_7
| ~ spl20_48 ),
inference(avatar_split_clause,[],[f1198,f747,f477,f802,f621]) ).
fof(f477,plain,
( spl20_7
<=> ! [X2,X1] :
( ~ aInteger0(X2)
| ~ isPrime0(X1)
| ~ aInteger0(X1)
| sdtasdt0(X1,X2) != xn
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f747,plain,
( spl20_48
<=> sz00 = smndt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_48])]) ).
fof(f1198,plain,
( ! [X0] :
( ~ aInteger0(sK16(X0))
| ~ aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| sz00 = sK16(X0)
| ~ aElementOf0(X0,cS2043)
| ~ aInteger0(sK17(X0,xn))
| ~ isPrime0(sK16(X0))
| ~ aInteger0(xn) )
| ~ spl20_7
| ~ spl20_48 ),
inference(equality_resolution,[],[f1149]) ).
fof(f1149,plain,
( ! [X2,X3] :
( xn != X2
| ~ isPrime0(sK16(X3))
| sz00 = sK16(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(X3,cS2043)
| ~ aInteger0(sK17(X3,X2))
| ~ aInteger0(sK16(X3))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X3))) )
| ~ spl20_7
| ~ spl20_48 ),
inference(superposition,[],[f1075,f359]) ).
fof(f1075,plain,
( ! [X4,X5] :
( xn != sdtpldt0(X5,sz00)
| ~ aInteger0(sK17(X4,X5))
| sz00 = sK16(X4)
| ~ isPrime0(sK16(X4))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X4)))
| ~ aInteger0(sK16(X4))
| ~ aElementOf0(X4,cS2043) )
| ~ spl20_7
| ~ spl20_48 ),
inference(superposition,[],[f478,f764]) ).
fof(f764,plain,
( ! [X2,X0] :
( sdtpldt0(X2,sz00) = sdtasdt0(sK16(X0),sK17(X0,X2))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| ~ aElementOf0(X0,cS2043) )
| ~ spl20_48 ),
inference(backward_demodulation,[],[f400,f749]) ).
fof(f749,plain,
( sz00 = smndt0(sz00)
| ~ spl20_48 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f400,plain,
! [X2,X0] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(sK16(X0),sK17(X0,X2))
| ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0))) ),
inference(definition_unfolding,[],[f349,f334]) ).
fof(f349,plain,
! [X2,X0] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(sK16(X0),sK17(X0,X2))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f193]) ).
fof(f478,plain,
( ! [X2,X1] :
( sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| sz00 = X1 )
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f1143,plain,
( ~ spl20_5
| ~ spl20_1
| spl20_85
| ~ spl20_3
| spl20_11
| ~ spl20_8
| ~ spl20_24
| ~ spl20_48 ),
inference(avatar_split_clause,[],[f1133,f747,f568,f481,f499,f459,f1141,f450,f468]) ).
fof(f468,plain,
( spl20_5
<=> aInteger0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f481,plain,
( spl20_8
<=> xn = sdtasdt0(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f568,plain,
( spl20_24
<=> ! [X6,X5,X8] :
( ~ aInteger0(X6)
| ~ aInteger0(X8)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8)
| sz00 = X5
| ~ aInteger0(X5)
| ~ isPrime0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f1133,plain,
( ! [X11] :
( sz00 = sK1
| ~ aInteger0(sK1)
| xn != sdtpldt0(X11,sz00)
| ~ aInteger0(X11)
| ~ isPrime0(sK1)
| ~ aInteger0(sK2)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,sK1)) )
| ~ spl20_8
| ~ spl20_24
| ~ spl20_48 ),
inference(superposition,[],[f1065,f483]) ).
fof(f483,plain,
( xn = sdtasdt0(sK1,sK2)
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f1065,plain,
( ! [X8,X6,X5] :
( sdtpldt0(X6,sz00) != sdtasdt0(X5,X8)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ isPrime0(X5)
| ~ aInteger0(X8)
| sz00 = X5 )
| ~ spl20_24
| ~ spl20_48 ),
inference(forward_demodulation,[],[f569,f749]) ).
fof(f569,plain,
( ! [X8,X6,X5] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ isPrime0(X5)
| sz00 = X5
| ~ aInteger0(X6)
| ~ aInteger0(X8)
| ~ aInteger0(X5) )
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f1089,plain,
( spl20_76
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1086,f716,f1024]) ).
fof(f1024,plain,
( spl20_76
<=> isPrime0(sK16(cS2043)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
fof(f716,plain,
( spl20_43
<=> aElementOf0(cS2043,cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_43])]) ).
fof(f1086,plain,
( isPrime0(sK16(cS2043))
| ~ spl20_43 ),
inference(resolution,[],[f717,f392]) ).
fof(f392,plain,
! [X0] :
( ~ aElementOf0(X0,cS2043)
| isPrime0(sK16(X0)) ),
inference(definition_unfolding,[],[f357,f334]) ).
fof(f357,plain,
! [X0] :
( isPrime0(sK16(X0))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f193]) ).
fof(f717,plain,
( aElementOf0(cS2043,cS2043)
| ~ spl20_43 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f1088,plain,
( spl20_75
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1085,f716,f1020]) ).
fof(f1020,plain,
( spl20_75
<=> aInteger0(sK16(cS2043)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).
fof(f1085,plain,
( aInteger0(sK16(cS2043))
| ~ spl20_43 ),
inference(resolution,[],[f717,f404]) ).
fof(f404,plain,
! [X0] :
( ~ aElementOf0(X0,cS2043)
| aInteger0(sK16(X0)) ),
inference(definition_unfolding,[],[f345,f334]) ).
fof(f345,plain,
! [X0] :
( aInteger0(sK16(X0))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f193]) ).
fof(f1083,plain,
( ~ spl20_5
| ~ spl20_3
| ~ spl20_1
| spl20_11
| ~ spl20_7
| ~ spl20_8 ),
inference(avatar_split_clause,[],[f1076,f481,f477,f499,f450,f459,f468]) ).
fof(f1076,plain,
( sz00 = sK1
| ~ isPrime0(sK1)
| ~ aInteger0(sK1)
| ~ aInteger0(sK2)
| ~ spl20_7
| ~ spl20_8 ),
inference(trivial_inequality_removal,[],[f1074]) ).
fof(f1074,plain,
( ~ aInteger0(sK2)
| xn != xn
| ~ aInteger0(sK1)
| sz00 = sK1
| ~ isPrime0(sK1)
| ~ spl20_7
| ~ spl20_8 ),
inference(superposition,[],[f478,f483]) ).
fof(f1059,plain,
( ~ spl20_9
| ~ spl20_4
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f1050,f521,f463,f489]) ).
fof(f489,plain,
( spl20_9
<=> aElementOf0(sK0,cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
fof(f463,plain,
( spl20_4
<=> aElementOf0(xn,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f1050,plain,
( ~ aElementOf0(sK0,cS2043)
| ~ spl20_4
| ~ spl20_15 ),
inference(resolution,[],[f522,f465]) ).
fof(f465,plain,
( aElementOf0(xn,sK0)
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f1058,plain,
( ~ spl20_43
| ~ spl20_12
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f1053,f521,f508,f716]) ).
fof(f508,plain,
( spl20_12
<=> ! [X0] : aElementOf0(X0,cS2043) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f1053,plain,
( ~ aElementOf0(cS2043,cS2043)
| ~ spl20_12
| ~ spl20_15 ),
inference(resolution,[],[f522,f509]) ).
fof(f509,plain,
( ! [X0] : aElementOf0(X0,cS2043)
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f1045,plain,
( ~ spl20_62
| ~ spl20_9
| ~ spl20_64
| ~ spl20_4
| ~ spl20_60 ),
inference(avatar_split_clause,[],[f1014,f918,f463,f934,f489,f926]) ).
fof(f926,plain,
( spl20_62
<=> aInteger0(sK16(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).
fof(f934,plain,
( spl20_64
<=> isPrime0(sK16(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_64])]) ).
fof(f1014,plain,
( ~ isPrime0(sK16(sK0))
| ~ aElementOf0(sK0,cS2043)
| ~ aInteger0(sK16(sK0))
| ~ spl20_4
| ~ spl20_60 ),
inference(resolution,[],[f919,f465]) ).
fof(f919,plain,
( ! [X4] :
( ~ aElementOf0(xn,X4)
| ~ isPrime0(sK16(X4))
| ~ aElementOf0(X4,cS2043)
| ~ aInteger0(sK16(X4)) )
| ~ spl20_60 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f1027,plain,
( ~ spl20_75
| ~ spl20_43
| ~ spl20_76
| ~ spl20_12
| ~ spl20_60 ),
inference(avatar_split_clause,[],[f1018,f918,f508,f1024,f716,f1020]) ).
fof(f1018,plain,
( ~ isPrime0(sK16(cS2043))
| ~ aElementOf0(cS2043,cS2043)
| ~ aInteger0(sK16(cS2043))
| ~ spl20_12
| ~ spl20_60 ),
inference(resolution,[],[f919,f509]) ).
fof(f977,plain,
( ~ spl20_9
| spl20_64 ),
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f976,plain,
( $false
| ~ spl20_9
| spl20_64 ),
inference(resolution,[],[f936,f591]) ).
fof(f591,plain,
( isPrime0(sK16(sK0))
| ~ spl20_9 ),
inference(resolution,[],[f392,f491]) ).
fof(f491,plain,
( aElementOf0(sK0,cS2043)
| ~ spl20_9 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f936,plain,
( ~ isPrime0(sK16(sK0))
| spl20_64 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f975,plain,
( ~ spl20_9
| spl20_62 ),
inference(avatar_contradiction_clause,[],[f974]) ).
fof(f974,plain,
( $false
| ~ spl20_9
| spl20_62 ),
inference(resolution,[],[f928,f593]) ).
fof(f593,plain,
( aInteger0(sK16(sK0))
| ~ spl20_9 ),
inference(resolution,[],[f404,f491]) ).
fof(f928,plain,
( ~ aInteger0(sK16(sK0))
| spl20_62 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f755,plain,
( ~ spl20_36
| spl20_48
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f744,f663,f747,f672]) ).
fof(f672,plain,
( spl20_36
<=> aInteger0(smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f663,plain,
( spl20_35
<=> aInteger0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
fof(f744,plain,
( ~ aInteger0(sz00)
| sz00 = smndt0(sz00)
| ~ aInteger0(smndt0(sz00)) ),
inference(superposition,[],[f358,f205]) ).
fof(f205,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ~ aInteger0(X0)
| ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f358,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f739,plain,
( ~ spl20_12
| spl20_43 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f738,plain,
( $false
| ~ spl20_12
| spl20_43 ),
inference(resolution,[],[f718,f509]) ).
fof(f718,plain,
( ~ aElementOf0(cS2043,cS2043)
| spl20_43 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f687,plain,
spl20_35,
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| spl20_35 ),
inference(resolution,[],[f665,f199]) ).
fof(f199,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f665,plain,
( ~ aInteger0(sz00)
| spl20_35 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f684,plain,
( ~ spl20_35
| spl20_36 ),
inference(avatar_split_clause,[],[f683,f672,f663]) ).
fof(f683,plain,
( ~ aInteger0(sz00)
| spl20_36 ),
inference(resolution,[],[f674,f211]) ).
fof(f211,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f674,plain,
( ~ aInteger0(smndt0(sz00))
| spl20_36 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f630,plain,
spl20_29,
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| spl20_29 ),
inference(resolution,[],[f623,f369]) ).
fof(f369,plain,
aInteger0(xn),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
aInteger0(xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2106) ).
fof(f623,plain,
( ~ aInteger0(xn)
| spl20_29 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f588,plain,
( spl20_3
| spl20_7 ),
inference(avatar_split_clause,[],[f225,f477,f459]) ).
fof(f225,plain,
! [X2,X1] :
( sz00 = X1
| aInteger0(sK1)
| sdtasdt0(X1,X2) != xn
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( aElementOf0(xn,sK0)
& aElementOf0(sK0,xS)
& ! [X1] :
( ( ~ aDivisorOf0(X1,xn)
& ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != xn )
| sz00 = X1 ) )
| ~ isPrime0(X1) )
& aElementOf0(xn,sbsmnsldt0(xS)) )
| ( ! [X3] :
( ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) )
& ~ aElementOf0(xn,sbsmnsldt0(xS))
& xn = sdtasdt0(sK1,sK2)
& aInteger0(sK2)
& isPrime0(sK1)
& aInteger0(sK1)
& aDivisorOf0(sK1,xn)
& sz00 != sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f135,f138,f137,f136]) ).
fof(f136,plain,
( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
=> ( aElementOf0(xn,sK0)
& aElementOf0(sK0,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X4] :
( ? [X5] :
( xn = sdtasdt0(X4,X5)
& aInteger0(X5) )
& isPrime0(X4)
& aInteger0(X4)
& aDivisorOf0(X4,xn)
& sz00 != X4 )
=> ( ? [X5] :
( xn = sdtasdt0(sK1,X5)
& aInteger0(X5) )
& isPrime0(sK1)
& aInteger0(sK1)
& aDivisorOf0(sK1,xn)
& sz00 != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ? [X5] :
( xn = sdtasdt0(sK1,X5)
& aInteger0(X5) )
=> ( xn = sdtasdt0(sK1,sK2)
& aInteger0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
& ! [X1] :
( ( ~ aDivisorOf0(X1,xn)
& ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != xn )
| sz00 = X1 ) )
| ~ isPrime0(X1) )
& aElementOf0(xn,sbsmnsldt0(xS)) )
| ( ! [X3] :
( ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) )
& ~ aElementOf0(xn,sbsmnsldt0(xS))
& ? [X4] :
( ? [X5] :
( xn = sdtasdt0(X4,X5)
& aInteger0(X5) )
& isPrime0(X4)
& aInteger0(X4)
& aDivisorOf0(X4,xn)
& sz00 != X4 ) ) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
( ( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
& ! [X1] :
( ( ~ aDivisorOf0(X1,xn)
& ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != xn )
| sz00 = X1 ) )
| ~ isPrime0(X1) )
& aElementOf0(xn,sbsmnsldt0(xS)) )
| ( ! [X5] :
( ~ aElementOf0(xn,X5)
| ~ aElementOf0(X5,xS) )
& ~ aElementOf0(xn,sbsmnsldt0(xS))
& ? [X3] :
( ? [X4] :
( xn = sdtasdt0(X3,X4)
& aInteger0(X4) )
& isPrime0(X3)
& aInteger0(X3)
& aDivisorOf0(X3,xn)
& sz00 != X3 ) ) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
( ( ~ aElementOf0(xn,sbsmnsldt0(xS))
& ! [X5] :
( ~ aElementOf0(xn,X5)
| ~ aElementOf0(X5,xS) )
& ? [X3] :
( ? [X4] :
( xn = sdtasdt0(X3,X4)
& aInteger0(X4) )
& isPrime0(X3)
& aInteger0(X3)
& aDivisorOf0(X3,xn)
& sz00 != X3 ) )
| ( ! [X1] :
( ( ~ aDivisorOf0(X1,xn)
& ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != xn )
| sz00 = X1 ) )
| ~ isPrime0(X1) )
& ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
& aElementOf0(xn,sbsmnsldt0(xS)) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
~ ( ( ? [X3] :
( ? [X4] :
( xn = sdtasdt0(X3,X4)
& aInteger0(X4) )
& isPrime0(X3)
& aInteger0(X3)
& aDivisorOf0(X3,xn)
& sz00 != X3 )
=> ( aElementOf0(xn,sbsmnsldt0(xS))
| ? [X5] :
( aElementOf0(xn,X5)
& aElementOf0(X5,xS) ) ) )
& ( ( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
& aElementOf0(xn,sbsmnsldt0(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,
~ ( ( ( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
& aElementOf0(xn,sbsmnsldt0(xS)) )
=> ? [X0] :
( isPrime0(X0)
& ( ( sz00 != X0
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(X0,X1) = xn )
& aInteger0(X0) )
| aDivisorOf0(X0,xn) ) ) )
& ( ? [X0] :
( aDivisorOf0(X0,xn)
& sz00 != X0
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(X0,X1) = xn )
& isPrime0(X0)
& aInteger0(X0) )
=> ( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
| aElementOf0(xn,sbsmnsldt0(xS)) ) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
( ( ( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
& aElementOf0(xn,sbsmnsldt0(xS)) )
=> ? [X0] :
( isPrime0(X0)
& ( ( sz00 != X0
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(X0,X1) = xn )
& aInteger0(X0) )
| aDivisorOf0(X0,xn) ) ) )
& ( ? [X0] :
( aDivisorOf0(X0,xn)
& sz00 != X0
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(X0,X1) = xn )
& isPrime0(X0)
& aInteger0(X0) )
=> ( ? [X0] :
( aElementOf0(xn,X0)
& aElementOf0(X0,xS) )
| aElementOf0(xn,sbsmnsldt0(xS)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f585,plain,
( spl20_15
| spl20_4 ),
inference(avatar_split_clause,[],[f370,f463,f521]) ).
fof(f370,plain,
! [X3] :
( aElementOf0(xn,sK0)
| ~ aElementOf0(X3,cS2043)
| ~ aElementOf0(xn,X3) ),
inference(definition_unfolding,[],[f254,f334]) ).
fof(f254,plain,
! [X3] :
( aElementOf0(xn,sK0)
| ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) ),
inference(cnf_transformation,[],[f139]) ).
fof(f584,plain,
( spl20_9
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f379,f499,f489]) ).
fof(f379,plain,
( sz00 != sK1
| aElementOf0(sK0,cS2043) ),
inference(definition_unfolding,[],[f239,f334]) ).
fof(f239,plain,
( aElementOf0(sK0,xS)
| sz00 != sK1 ),
inference(cnf_transformation,[],[f139]) ).
fof(f575,plain,
( spl20_4
| spl20_5 ),
inference(avatar_split_clause,[],[f251,f468,f463]) ).
fof(f251,plain,
( aInteger0(sK2)
| aElementOf0(xn,sK0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f570,plain,
( spl20_12
| spl20_24 ),
inference(avatar_split_clause,[],[f412,f568,f508]) ).
fof(f412,plain,
! [X0,X8,X6,X5] :
( ~ aInteger0(X6)
| sz00 = X5
| aElementOf0(X0,cS2043)
| ~ isPrime0(X5)
| ~ aInteger0(X5)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X8) ),
inference(definition_unfolding,[],[f337,f334]) ).
fof(f337,plain,
! [X0,X8,X6,X5] :
( aElementOf0(X0,xS)
| ~ aInteger0(X5)
| ~ isPrime0(X5)
| sz00 = X5
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8)
| ~ aInteger0(X8)
| ~ aInteger0(X6) ),
inference(cnf_transformation,[],[f193]) ).
fof(f566,plain,
( spl20_8
| spl20_7 ),
inference(avatar_split_clause,[],[f228,f477,f481]) ).
fof(f228,plain,
! [X2,X1] :
( sz00 = X1
| ~ isPrime0(X1)
| ~ aInteger0(X2)
| xn = sdtasdt0(sK1,sK2)
| ~ aInteger0(X1)
| sdtasdt0(X1,X2) != xn ),
inference(cnf_transformation,[],[f139]) ).
fof(f561,plain,
( spl20_4
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f247,f499,f463]) ).
fof(f247,plain,
( sz00 != sK1
| aElementOf0(xn,sK0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f530,plain,
( spl20_9
| spl20_1 ),
inference(avatar_split_clause,[],[f376,f450,f489]) ).
fof(f376,plain,
( isPrime0(sK1)
| aElementOf0(sK0,cS2043) ),
inference(definition_unfolding,[],[f242,f334]) ).
fof(f242,plain,
( aElementOf0(sK0,xS)
| isPrime0(sK1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f529,plain,
( spl20_9
| spl20_8 ),
inference(avatar_split_clause,[],[f374,f481,f489]) ).
fof(f374,plain,
( xn = sdtasdt0(sK1,sK2)
| aElementOf0(sK0,cS2043) ),
inference(definition_unfolding,[],[f244,f334]) ).
fof(f244,plain,
( aElementOf0(sK0,xS)
| xn = sdtasdt0(sK1,sK2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f528,plain,
( spl20_1
| spl20_7 ),
inference(avatar_split_clause,[],[f226,f477,f450]) ).
fof(f226,plain,
! [X2,X1] :
( sz00 = X1
| ~ aInteger0(X2)
| isPrime0(sK1)
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| sdtasdt0(X1,X2) != xn ),
inference(cnf_transformation,[],[f139]) ).
fof(f526,plain,
( spl20_1
| spl20_4 ),
inference(avatar_split_clause,[],[f250,f463,f450]) ).
fof(f250,plain,
( aElementOf0(xn,sK0)
| isPrime0(sK1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f525,plain,
( spl20_15
| spl20_7 ),
inference(avatar_split_clause,[],[f382,f477,f521]) ).
fof(f382,plain,
! [X2,X3,X1] :
( sz00 = X1
| ~ aElementOf0(xn,X3)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != xn
| ~ aElementOf0(X3,cS2043)
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
inference(definition_unfolding,[],[f230,f334]) ).
fof(f230,plain,
! [X2,X3,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != xn
| sz00 = X1
| ~ isPrime0(X1)
| ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) ),
inference(cnf_transformation,[],[f139]) ).
fof(f523,plain,
( spl20_9
| spl20_15 ),
inference(avatar_split_clause,[],[f372,f521,f489]) ).
fof(f372,plain,
! [X3] :
( ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,cS2043)
| aElementOf0(sK0,cS2043) ),
inference(definition_unfolding,[],[f246,f334,f334]) ).
fof(f246,plain,
! [X3] :
( aElementOf0(sK0,xS)
| ~ aElementOf0(xn,X3)
| ~ aElementOf0(X3,xS) ),
inference(cnf_transformation,[],[f139]) ).
fof(f519,plain,
( spl20_3
| spl20_9 ),
inference(avatar_split_clause,[],[f377,f489,f459]) ).
fof(f377,plain,
( aElementOf0(sK0,cS2043)
| aInteger0(sK1) ),
inference(definition_unfolding,[],[f241,f334]) ).
fof(f241,plain,
( aElementOf0(sK0,xS)
| aInteger0(sK1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f502,plain,
( ~ spl20_11
| spl20_7 ),
inference(avatar_split_clause,[],[f223,f477,f499]) ).
fof(f223,plain,
! [X2,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != xn
| sz00 != sK1
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f139]) ).
fof(f492,plain,
( spl20_9
| spl20_5 ),
inference(avatar_split_clause,[],[f375,f468,f489]) ).
fof(f375,plain,
( aInteger0(sK2)
| aElementOf0(sK0,cS2043) ),
inference(definition_unfolding,[],[f243,f334]) ).
fof(f243,plain,
( aElementOf0(sK0,xS)
| aInteger0(sK2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f486,plain,
( spl20_8
| spl20_4 ),
inference(avatar_split_clause,[],[f252,f463,f481]) ).
fof(f252,plain,
( aElementOf0(xn,sK0)
| xn = sdtasdt0(sK1,sK2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f485,plain,
( spl20_5
| spl20_7 ),
inference(avatar_split_clause,[],[f227,f477,f468]) ).
fof(f227,plain,
! [X2,X1] :
( sz00 = X1
| ~ isPrime0(X1)
| ~ aInteger0(X1)
| sdtasdt0(X1,X2) != xn
| aInteger0(sK2)
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f466,plain,
( spl20_3
| spl20_4 ),
inference(avatar_split_clause,[],[f249,f463,f459]) ).
fof(f249,plain,
( aElementOf0(xn,sK0)
| aInteger0(sK1) ),
inference(cnf_transformation,[],[f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : NUM447+5 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.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 06:35:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (1774)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.55 % (1765)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55 % (1773)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.43/0.56 % (1758)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.43/0.56 % (1766)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.43/0.56 % (1757)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.43/0.56 % (1765)Instruction limit reached!
% 1.43/0.56 % (1765)------------------------------
% 1.43/0.56 % (1765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (1765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (1765)Termination reason: Unknown
% 1.59/0.57 % (1765)Termination phase: Preprocessing 3
% 1.59/0.57
% 1.59/0.57 % (1765)Memory used [KB]: 1535
% 1.59/0.57 % (1765)Time elapsed: 0.004 s
% 1.59/0.57 % (1765)Instructions burned: 4 (million)
% 1.59/0.57 % (1765)------------------------------
% 1.59/0.57 % (1765)------------------------------
% 1.59/0.57 % (1755)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.59/0.57 % (1752)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.59/0.57 % (1772)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.59/0.57 % (1751)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.59/0.57 % (1777)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.59/0.57 % (1778)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.59/0.58 % (1770)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.59/0.58 % (1766)Instruction limit reached!
% 1.59/0.58 % (1766)------------------------------
% 1.59/0.58 % (1766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (1766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (1766)Termination reason: Unknown
% 1.59/0.58 % (1766)Termination phase: Saturation
% 1.59/0.58
% 1.59/0.58 % (1766)Memory used [KB]: 6140
% 1.59/0.58 % (1766)Time elapsed: 0.006 s
% 1.59/0.58 % (1766)Instructions burned: 8 (million)
% 1.59/0.58 % (1766)------------------------------
% 1.59/0.58 % (1766)------------------------------
% 1.59/0.58 % (1780)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.59/0.58 % (1771)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.59/0.58 % (1769)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.59/0.58 % (1775)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.59/0.58 % (1769)Instruction limit reached!
% 1.59/0.58 % (1769)------------------------------
% 1.59/0.58 % (1769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (1769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (1769)Termination reason: Unknown
% 1.59/0.58 % (1769)Termination phase: Preprocessing 3
% 1.59/0.58
% 1.59/0.58 % (1769)Memory used [KB]: 1535
% 1.59/0.58 % (1769)Time elapsed: 0.003 s
% 1.59/0.58 % (1769)Instructions burned: 3 (million)
% 1.59/0.58 % (1769)------------------------------
% 1.59/0.58 % (1769)------------------------------
% 1.59/0.58 % (1754)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.59/0.59 % (1753)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.59/0.59 % (1776)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.59/0.59 % (1767)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.59/0.59 % (1753)Instruction limit reached!
% 1.59/0.59 % (1753)------------------------------
% 1.59/0.59 % (1753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (1753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (1753)Termination reason: Unknown
% 1.59/0.59 % (1753)Termination phase: Preprocessing 3
% 1.59/0.59
% 1.59/0.59 % (1753)Memory used [KB]: 1535
% 1.59/0.59 % (1753)Time elapsed: 0.003 s
% 1.59/0.59 % (1753)Instructions burned: 4 (million)
% 1.59/0.59 % (1753)------------------------------
% 1.59/0.59 % (1753)------------------------------
% 1.59/0.59 % (1779)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.59/0.59 % (1764)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.59/0.59 % (1768)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.59/0.59 % (1756)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.59/0.59 % (1760)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.59/0.59 % (1762)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.59/0.59 % (1759)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.59/0.59 % (1763)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.59/0.59 % (1768)Instruction limit reached!
% 1.59/0.59 % (1768)------------------------------
% 1.59/0.59 % (1768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (1768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (1768)Termination reason: Unknown
% 1.59/0.59 % (1768)Termination phase: Naming
% 1.59/0.59
% 1.59/0.59 % (1768)Memory used [KB]: 1535
% 1.59/0.59 % (1768)Time elapsed: 0.004 s
% 1.59/0.59 % (1768)Instructions burned: 3 (million)
% 1.59/0.59 % (1768)------------------------------
% 1.59/0.59 % (1768)------------------------------
% 1.59/0.59 % (1761)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.59/0.60 % (1757)Instruction limit reached!
% 1.59/0.60 % (1757)------------------------------
% 1.59/0.60 % (1757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (1757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (1757)Termination reason: Unknown
% 1.59/0.60 % (1757)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (1757)Memory used [KB]: 6524
% 1.59/0.60 % (1757)Time elapsed: 0.151 s
% 1.59/0.60 % (1757)Instructions burned: 39 (million)
% 1.59/0.60 % (1757)------------------------------
% 1.59/0.60 % (1757)------------------------------
% 1.59/0.60 % (1778)Instruction limit reached!
% 1.59/0.60 % (1778)------------------------------
% 1.59/0.60 % (1778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (1778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (1778)Termination reason: Unknown
% 1.59/0.60 % (1778)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (1755)Instruction limit reached!
% 1.59/0.60 % (1755)------------------------------
% 1.59/0.60 % (1755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (1778)Memory used [KB]: 6524
% 1.59/0.60 % (1778)Time elapsed: 0.174 s
% 1.59/0.60 % (1778)Instructions burned: 25 (million)
% 1.59/0.60 % (1755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (1778)------------------------------
% 1.59/0.60 % (1778)------------------------------
% 1.59/0.60 % (1755)Termination reason: Unknown
% 1.59/0.60 % (1755)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (1755)Memory used [KB]: 6268
% 1.59/0.60 % (1755)Time elapsed: 0.171 s
% 1.59/0.60 % (1755)Instructions burned: 14 (million)
% 1.59/0.60 % (1755)------------------------------
% 1.59/0.60 % (1755)------------------------------
% 1.59/0.60 % (1752)Instruction limit reached!
% 1.59/0.60 % (1752)------------------------------
% 1.59/0.60 % (1752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (1752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (1752)Termination reason: Unknown
% 1.59/0.60 % (1752)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (1752)Memory used [KB]: 6396
% 1.59/0.60 % (1752)Time elapsed: 0.147 s
% 1.59/0.60 % (1752)Instructions burned: 14 (million)
% 1.59/0.60 % (1752)------------------------------
% 1.59/0.60 % (1752)------------------------------
% 1.59/0.60 % (1770)Instruction limit reached!
% 1.59/0.60 % (1770)------------------------------
% 1.59/0.60 % (1770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.61 % (1773)First to succeed.
% 1.59/0.61 % (1779)Instruction limit reached!
% 1.59/0.61 % (1779)------------------------------
% 1.59/0.61 % (1779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.61 % (1779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.61 % (1779)Termination reason: Unknown
% 1.59/0.61 % (1779)Termination phase: Saturation
% 1.59/0.61
% 1.59/0.61 % (1779)Memory used [KB]: 1663
% 1.59/0.61 % (1779)Time elapsed: 0.006 s
% 1.59/0.61 % (1779)Instructions burned: 9 (million)
% 1.59/0.61 % (1779)------------------------------
% 1.59/0.61 % (1779)------------------------------
% 1.59/0.61 % (1773)Refutation found. Thanks to Tanya!
% 1.59/0.61 % SZS status Theorem for theBenchmark
% 1.59/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.61 % (1773)------------------------------
% 1.59/0.61 % (1773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.61 % (1773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.61 % (1773)Termination reason: Refutation
% 1.59/0.61
% 1.59/0.61 % (1773)Memory used [KB]: 6908
% 1.59/0.61 % (1773)Time elapsed: 0.167 s
% 1.59/0.61 % (1773)Instructions burned: 30 (million)
% 1.59/0.61 % (1773)------------------------------
% 1.59/0.61 % (1773)------------------------------
% 1.59/0.61 % (1750)Success in time 0.24 s
%------------------------------------------------------------------------------