TSTP Solution File: NUM448+5 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM448+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 : n001.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 2.24s 0.70s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 33
% Syntax : Number of formulae : 205 ( 11 unt; 0 def)
% Number of atoms : 1179 ( 235 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 1475 ( 501 ~; 482 |; 417 &)
% ( 28 <=>; 44 =>; 0 <=; 3 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 12 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-2 aty)
% Number of variables : 290 ( 202 !; 88 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2129,plain,
$false,
inference(avatar_sat_refutation,[],[f464,f472,f488,f489,f497,f498,f504,f581,f584,f1383,f1387,f1394,f1404,f1418,f1424,f2118,f2128]) ).
fof(f2128,plain,
( ~ spl35_1
| spl35_2
| ~ spl35_9
| ~ spl35_10
| ~ spl35_16 ),
inference(avatar_contradiction_clause,[],[f2127]) ).
fof(f2127,plain,
( $false
| ~ spl35_1
| spl35_2
| ~ spl35_9
| ~ spl35_10
| ~ spl35_16 ),
inference(subsumption_resolution,[],[f2126,f492]) ).
fof(f492,plain,
( aInteger0(sz10)
| ~ spl35_9 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl35_9
<=> aInteger0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_9])]) ).
fof(f2126,plain,
( ~ aInteger0(sz10)
| ~ spl35_1
| spl35_2
| ~ spl35_10
| ~ spl35_16 ),
inference(subsumption_resolution,[],[f2125,f2006]) ).
fof(f2006,plain,
( ~ aElementOf0(sz10,sF31)
| ~ spl35_10
| ~ spl35_16 ),
inference(subsumption_resolution,[],[f1998,f455]) ).
fof(f455,plain,
! [X7] :
( aElementOf0(sK18(X7),cS2043)
| ~ aElementOf0(X7,sF31) ),
inference(definition_folding,[],[f404,f434]) ).
fof(f434,plain,
sF31 = sbsmnsldt0(cS2043),
introduced(function_definition,[]) ).
fof(f404,plain,
! [X7] :
( aElementOf0(sK18(X7),cS2043)
| ~ aElementOf0(X7,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f277,f318,f318]) ).
fof(f318,plain,
xS = cS2043,
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( aSet0(xS)
& ! [X0] :
( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK22(X0)))
& isPrime0(sK22(X0))
& sz00 != sK22(X0)
& aInteger0(sK22(X0))
& szAzrzSzezqlpdtcmdtrp0(sz00,sK22(X0)) = X0
& sP4(sK22(X0)) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X2] :
( ~ isPrime0(X2)
| ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X0
& sP3(X2) )
| ~ aInteger0(X2)
| sz00 = X2 ) ) )
& xS = cS2043 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f189,f190]) ).
fof(f190,plain,
! [X0] :
( ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& sP4(X1) )
=> ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK22(X0)))
& isPrime0(sK22(X0))
& sz00 != sK22(X0)
& aInteger0(sK22(X0))
& szAzrzSzezqlpdtcmdtrp0(sz00,sK22(X0)) = X0
& sP4(sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
( aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& sP4(X1) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X2] :
( ~ isPrime0(X2)
| ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) != X0
& sP3(X2) )
| ~ aInteger0(X2)
| sz00 = X2 ) ) )
& xS = cS2043 ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
( aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& sP4(X1) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ isPrime0(X5)
| ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& sP3(X5) )
| ~ aInteger0(X5)
| sz00 = X5 ) ) )
& xS = cS2043 ),
inference(definition_folding,[],[f115,f129,f128]) ).
fof(f128,plain,
! [X5] :
( ! [X6] :
( ( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( aInteger0(X6)
& ? [X7] :
( sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00))
& aInteger0(X7) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtasdt0(X5,X8) != sdtpldt0(X6,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) ) )
| ~ sP3(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f129,plain,
! [X1] :
( ! [X2] :
( ( ( ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4) )
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) ) )
| ~ sP4(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f115,plain,
( aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& ! [X2] :
( ( ( ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4) )
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) ) ) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ~ isPrime0(X5)
| ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& ! [X6] :
( ( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( aInteger0(X6)
& ? [X7] :
( sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00))
& aInteger0(X7) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtasdt0(X5,X8) != sdtpldt0(X6,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) ) ) )
| ~ aInteger0(X5)
| sz00 = X5 ) ) )
& xS = cS2043 ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
( xS = cS2043
& aSet0(xS)
& ! [X0] :
( ( ? [X1] :
( aInteger0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& sz00 != X1
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4) )
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2)
| ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) ) )
& isPrime0(X1) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ! [X5] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtasdt0(X5,X8) != sdtpldt0(X6,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) )
& ( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( aInteger0(X6)
& ? [X7] :
( sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00))
& aInteger0(X7) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) ) ) )
| sz00 = X5
| ~ isPrime0(X5)
| ~ aInteger0(X5) ) ) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
( xS = cS2043
& aSet0(xS)
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( aInteger0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& sz00 != X1
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4) )
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
& ( ( aInteger0(X2)
& ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& isPrime0(X1) ) )
& ( ? [X5] :
( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ( aInteger0(X6)
& ( aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X6,sz00,X5)
| ? [X8] :
( sdtasdt0(X5,X8) = sdtpldt0(X6,smndt0(sz00))
& aInteger0(X8) ) ) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
=> ( aInteger0(X6)
& ? [X7] :
( sdtasdt0(X5,X7) = sdtpldt0(X6,smndt0(sz00))
& aInteger0(X7) )
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0 )
& sz00 != X5
& isPrime0(X5)
& aInteger0(X5) )
=> aElementOf0(X0,xS) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( sz00 != X1
& isPrime0(X1)
& aInteger0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( aInteger0(X2)
& ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) ) )
=> 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) ) ) ) ) )
& ( ? [X1] :
( isPrime0(X1)
& aInteger0(X1)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) ) ) )
& ( ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
& sz00 != X1 )
=> aElementOf0(X0,xS) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2046) ).
fof(f277,plain,
! [X7] :
( aElementOf0(sK18(X7),xS)
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ! [X0] :
( ( ( ! [X1] :
( ~ isPrime0(X1)
| ( ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 )
| sz00 = X1 )
& ~ aDivisorOf0(X1,X0) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& aElementOf0(X0,sK16(X0))
& aElementOf0(sK16(X0),xS) ) )
& ( sP2(X0)
| ( ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X0,X4) )
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) )
| ~ aInteger0(X0) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( ( aInteger0(X5)
& ~ aElementOf0(X5,sbsmnsldt0(xS)) )
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X5)
| aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ( ( sz10 != sK17
& smndt0(sz10) != sK17 )
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) )
& ( sz10 = sK17
| smndt0(sz10) = sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& ! [X7] :
( ( aElementOf0(X7,sbsmnsldt0(xS))
| ~ aInteger0(X7)
| ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) ) )
& ( ( aInteger0(X7)
& aElementOf0(X7,sK18(X7))
& aElementOf0(sK18(X7),xS) )
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f173,f176,f175,f174]) ).
fof(f174,plain,
! [X0] :
( ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) )
=> ( aElementOf0(X0,sK16(X0))
& aElementOf0(sK16(X0),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
( ? [X6] :
( ( ( sz10 != X6
& smndt0(sz10) != X6 )
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( sz10 = X6
| smndt0(sz10) = X6
| aElementOf0(X6,stldt0(sbsmnsldt0(xS))) ) )
=> ( ( ( sz10 != sK17
& smndt0(sz10) != sK17 )
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) )
& ( sz10 = sK17
| smndt0(sz10) = sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X7] :
( ? [X9] :
( aElementOf0(X7,X9)
& aElementOf0(X9,xS) )
=> ( aElementOf0(X7,sK18(X7))
& aElementOf0(sK18(X7),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ! [X0] :
( ( ( ! [X1] :
( ~ isPrime0(X1)
| ( ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 )
| sz00 = X1 )
& ~ aDivisorOf0(X1,X0) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) ) )
& ( sP2(X0)
| ( ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X0,X4) )
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) )
| ~ aInteger0(X0) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( ( aInteger0(X5)
& ~ aElementOf0(X5,sbsmnsldt0(xS)) )
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X5)
| aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ? [X6] :
( ( ( sz10 != X6
& smndt0(sz10) != X6 )
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( sz10 = X6
| smndt0(sz10) = X6
| aElementOf0(X6,stldt0(sbsmnsldt0(xS))) ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& ! [X7] :
( ( aElementOf0(X7,sbsmnsldt0(xS))
| ~ aInteger0(X7)
| ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) ) )
& ( ( aInteger0(X7)
& ? [X9] :
( aElementOf0(X7,X9)
& aElementOf0(X9,xS) ) )
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ) ) ),
inference(rectify,[],[f172]) ).
fof(f172,plain,
( ! [X0] :
( ( ( ! [X1] :
( ~ isPrime0(X1)
| ( ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 )
| sz00 = X1 )
& ~ aDivisorOf0(X1,X0) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) ) )
& ( sP2(X0)
| ( ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X0,X4) )
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) )
| ~ aInteger0(X0) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& aSet0(sbsmnsldt0(xS))
& ! [X9] :
( ( ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) )
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X9)
| aElementOf0(X9,sbsmnsldt0(xS)) ) )
& ? [X10] :
( ( ( sz10 != X10
& smndt0(sz10) != X10 )
| ~ aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& ( sz10 = X10
| smndt0(sz10) = X10
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& ! [X7] :
( ( aElementOf0(X7,sbsmnsldt0(xS))
| ~ aInteger0(X7)
| ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) ) )
& ( ( aInteger0(X7)
& ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) ) )
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ) ) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
( ! [X0] :
( ( ( ! [X1] :
( ~ isPrime0(X1)
| ( ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 )
| sz00 = X1 )
& ~ aDivisorOf0(X1,X0) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) ) )
& ( sP2(X0)
| ( ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X0,X4) )
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) )
| ~ aInteger0(X0) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& aSet0(sbsmnsldt0(xS))
& ! [X9] :
( ( ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) )
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X9)
| aElementOf0(X9,sbsmnsldt0(xS)) ) )
& ? [X10] :
( ( ( sz10 != X10
& smndt0(sz10) != X10 )
| ~ aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& ( sz10 = X10
| smndt0(sz10) = X10
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& ! [X7] :
( ( aElementOf0(X7,sbsmnsldt0(xS))
| ~ aInteger0(X7)
| ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) ) )
& ( ( aInteger0(X7)
& ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) ) )
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
( ! [X0] :
( ( ( ! [X1] :
( ~ isPrime0(X1)
| ( ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 )
| sz00 = X1 )
& ~ aDivisorOf0(X1,X0) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) ) )
& ( sP2(X0)
| ( ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X0,X4) )
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) )
| ~ aInteger0(X0) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& aSet0(sbsmnsldt0(xS))
& ! [X9] :
( ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) )
<=> aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( sz10 = X10
| smndt0(sz10) = X10 ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( aInteger0(X7)
& ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) ) ) ) ),
inference(definition_folding,[],[f119,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X5] :
( aDivisorOf0(X5,X0)
& ? [X6] :
( sdtasdt0(X5,X6) = X0
& aInteger0(X6) )
& aInteger0(X5)
& sz00 != X5
& isPrime0(X5) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f119,plain,
( ! [X0] :
( ( ( ! [X1] :
( ~ isPrime0(X1)
| ( ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 )
| sz00 = X1 )
& ~ aDivisorOf0(X1,X0) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) ) )
& ( ? [X5] :
( aDivisorOf0(X5,X0)
& ? [X6] :
( sdtasdt0(X5,X6) = X0
& aInteger0(X6) )
& aInteger0(X5)
& sz00 != X5
& isPrime0(X5) )
| ( ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X0,X4) )
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) )
| ~ aInteger0(X0) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& aSet0(sbsmnsldt0(xS))
& ! [X9] :
( ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) )
<=> aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( sz10 = X10
| smndt0(sz10) = X10 ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( aInteger0(X7)
& ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) ) ) ) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
( ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( sz10 = X10
| smndt0(sz10) = X10 ) )
& stldt0(sbsmnsldt0(xS)) != cS2076
& ! [X9] :
( ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) )
<=> aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& aSet0(sbsmnsldt0(xS))
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( aInteger0(X7)
& ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) ) ) )
& ! [X0] :
( ( ( ! [X1] :
( ~ isPrime0(X1)
| ( ( ~ aInteger0(X1)
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 )
| sz00 = X1 )
& ~ aDivisorOf0(X1,X0) ) )
| ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) ) )
& ( ? [X5] :
( aDivisorOf0(X5,X0)
& ? [X6] :
( sdtasdt0(X5,X6) = X0
& aInteger0(X6) )
& aInteger0(X5)
& sz00 != X5
& isPrime0(X5) )
| ( ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X0,X4) )
& ~ aElementOf0(X0,sbsmnsldt0(xS)) ) ) )
| ~ aInteger0(X0) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ( ! [X0] :
( aInteger0(X0)
=> ( ( ( ? [X4] :
( aElementOf0(X0,X4)
& aElementOf0(X4,xS) )
| aElementOf0(X0,sbsmnsldt0(xS)) )
=> ? [X5] :
( aDivisorOf0(X5,X0)
& ? [X6] :
( sdtasdt0(X5,X6) = X0
& aInteger0(X6) )
& aInteger0(X5)
& sz00 != X5
& isPrime0(X5) ) )
& ( ? [X1] :
( ( aDivisorOf0(X1,X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& aInteger0(X1)
& sz00 != X1 ) )
& isPrime0(X1) )
=> ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) ) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( aInteger0(X7)
& ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) ) ) ) )
=> ( ( ! [X9] :
( ( aInteger0(X9)
& ~ aElementOf0(X9,sbsmnsldt0(xS)) )
<=> aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& aSet0(stldt0(sbsmnsldt0(xS))) )
=> ( ! [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<=> ( sz10 = X10
| smndt0(sz10) = X10 ) )
| stldt0(sbsmnsldt0(xS)) = cS2076 ) ) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ( ! [X0] :
( aInteger0(X0)
=> ( ( ? [X1] :
( ( aDivisorOf0(X1,X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& aInteger0(X1)
& sz00 != X1 ) )
& isPrime0(X1) )
=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aElementOf0(X0,sbsmnsldt0(xS)) ) )
& ( ( ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) )
| aElementOf0(X0,sbsmnsldt0(xS)) )
=> ? [X1] :
( sz00 != X1
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& aDivisorOf0(X1,X0)
& aInteger0(X1)
& isPrime0(X1) ) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) )
<=> aElementOf0(X0,sbsmnsldt0(xS)) ) )
=> ( ( aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
=> ( ! [X0] :
( ( sz10 = X0
| smndt0(sz10) = X0 )
<=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
| stldt0(sbsmnsldt0(xS)) = cS2076 ) ) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
( ! [X0] :
( aInteger0(X0)
=> ( ( ? [X1] :
( ( aDivisorOf0(X1,X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& aInteger0(X1)
& sz00 != X1 ) )
& isPrime0(X1) )
=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aElementOf0(X0,sbsmnsldt0(xS)) ) )
& ( ( ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) )
| aElementOf0(X0,sbsmnsldt0(xS)) )
=> ? [X1] :
( sz00 != X1
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& aDivisorOf0(X1,X0)
& aInteger0(X1)
& isPrime0(X1) ) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) )
<=> aElementOf0(X0,sbsmnsldt0(xS)) ) )
=> ( ( aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
=> ( ! [X0] :
( ( sz10 = X0
| smndt0(sz10) = X0 )
<=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
| stldt0(sbsmnsldt0(xS)) = cS2076 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1998,plain,
( ~ aElementOf0(sz10,sF31)
| ~ aElementOf0(sK18(sz10),cS2043)
| ~ spl35_10
| ~ spl35_16 ),
inference(resolution,[],[f1989,f454]) ).
fof(f454,plain,
! [X7] :
( aElementOf0(X7,sK18(X7))
| ~ aElementOf0(X7,sF31) ),
inference(definition_folding,[],[f403,f434]) ).
fof(f403,plain,
! [X7] :
( aElementOf0(X7,sK18(X7))
| ~ aElementOf0(X7,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f278,f318]) ).
fof(f278,plain,
! [X7] :
( aElementOf0(X7,sK18(X7))
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f1989,plain,
( ! [X6] :
( ~ aElementOf0(sz10,X6)
| ~ aElementOf0(X6,cS2043) )
| ~ spl35_10
| ~ spl35_16 ),
inference(subsumption_resolution,[],[f1984,f407]) ).
fof(f407,plain,
! [X0] :
( ~ aElementOf0(X0,cS2043)
| isPrime0(sK22(X0)) ),
inference(definition_unfolding,[],[f326,f318]) ).
fof(f326,plain,
! [X0] :
( isPrime0(sK22(X0))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f191]) ).
fof(f1984,plain,
( ! [X6] :
( ~ aElementOf0(sz10,X6)
| ~ aElementOf0(X6,cS2043)
| ~ isPrime0(sK22(X6)) )
| ~ spl35_10
| ~ spl35_16 ),
inference(resolution,[],[f1924,f496]) ).
fof(f496,plain,
( ! [X1] :
( ~ aDivisorOf0(X1,sz10)
| ~ isPrime0(X1) )
| ~ spl35_10 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f495,plain,
( spl35_10
<=> ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_10])]) ).
fof(f1924,plain,
( ! [X0,X1] :
( aDivisorOf0(sK22(X1),X0)
| ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,cS2043) )
| ~ spl35_16 ),
inference(subsumption_resolution,[],[f1912,f816]) ).
fof(f816,plain,
! [X2,X1] :
( ~ aElementOf0(X2,X1)
| aInteger0(X2)
| ~ aElementOf0(X1,cS2043) ),
inference(subsumption_resolution,[],[f814,f411]) ).
fof(f411,plain,
! [X0] :
( sP4(sK22(X0))
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f322,f318]) ).
fof(f322,plain,
! [X0] :
( sP4(sK22(X0))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f191]) ).
fof(f814,plain,
! [X2,X1] :
( ~ sP4(sK22(X1))
| ~ aElementOf0(X2,X1)
| aInteger0(X2)
| ~ aElementOf0(X1,cS2043) ),
inference(superposition,[],[f307,f410]) ).
fof(f410,plain,
! [X0] :
( szAzrzSzezqlpdtcmdtrp0(sz00,sK22(X0)) = X0
| ~ aElementOf0(X0,cS2043) ),
inference(definition_unfolding,[],[f323,f318]) ).
fof(f323,plain,
! [X0] :
( szAzrzSzezqlpdtcmdtrp0(sz00,sK22(X0)) = X0
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f191]) ).
fof(f307,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X0))
| aInteger0(X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ( ( aInteger0(sK20(X0,X1))
& sdtpldt0(X1,smndt0(sz00)) = sdtasdt0(X0,sK20(X0,X1))
& aInteger0(X1)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X1,sz00,X0) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X0)) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X0))
| ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X0,X3) != sdtpldt0(X1,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X1,sz00,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz00))) ) ) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f182,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ? [X2] :
( aInteger0(X2)
& sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz00)) )
=> ( aInteger0(sK20(X0,X1))
& sdtpldt0(X1,smndt0(sz00)) = sdtasdt0(X0,sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz00)) )
& aInteger0(X1)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X1,sz00,X0) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X0)) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X0))
| ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X0,X3) != sdtpldt0(X1,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X1,sz00,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz00))) ) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f181]) ).
fof(f181,plain,
! [X1] :
( ! [X2] :
( ( ( ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4) )
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) ) )
| ~ sP4(X1) ),
inference(nnf_transformation,[],[f129]) ).
fof(f1912,plain,
( ! [X0,X1] :
( aDivisorOf0(sK22(X1),X0)
| ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,cS2043)
| ~ aInteger0(X0) )
| ~ spl35_16 ),
inference(superposition,[],[f1907,f247]) ).
fof(f247,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,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(f1907,plain,
( ! [X0,X1] :
( aDivisorOf0(sK22(X0),sdtpldt0(X1,sz00))
| ~ aElementOf0(X0,cS2043)
| ~ aElementOf0(X1,X0) )
| ~ spl35_16 ),
inference(subsumption_resolution,[],[f1905,f411]) ).
fof(f1905,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,cS2043)
| aDivisorOf0(sK22(X0),sdtpldt0(X1,sz00))
| ~ aElementOf0(X1,X0)
| ~ sP4(sK22(X0)) )
| ~ spl35_16 ),
inference(superposition,[],[f1888,f410]) ).
fof(f1888,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X0))
| aDivisorOf0(X0,sdtpldt0(X1,sz00))
| ~ sP4(X0) )
| ~ spl35_16 ),
inference(forward_demodulation,[],[f306,f573]) ).
fof(f573,plain,
( sz00 = smndt0(sz00)
| ~ spl35_16 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f571,plain,
( spl35_16
<=> sz00 = smndt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_16])]) ).
fof(f306,plain,
! [X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz00)))
| ~ sP4(X0)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X0)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f2125,plain,
( aElementOf0(sz10,sF31)
| ~ aInteger0(sz10)
| ~ spl35_1
| spl35_2 ),
inference(resolution,[],[f2124,f446]) ).
fof(f446,plain,
! [X5] :
( aElementOf0(X5,sF33)
| ~ aInteger0(X5)
| aElementOf0(X5,sF31) ),
inference(definition_folding,[],[f396,f434,f441,f434]) ).
fof(f441,plain,
sF33 = stldt0(sF31),
introduced(function_definition,[]) ).
fof(f396,plain,
! [X5] :
( aElementOf0(X5,stldt0(sbsmnsldt0(cS2043)))
| ~ aInteger0(X5)
| aElementOf0(X5,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f285,f318,f318]) ).
fof(f285,plain,
! [X5] :
( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X5)
| aElementOf0(X5,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f2124,plain,
( ~ aElementOf0(sz10,sF33)
| ~ spl35_1
| spl35_2 ),
inference(forward_demodulation,[],[f463,f458]) ).
fof(f458,plain,
( sz10 = sK17
| ~ spl35_1 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl35_1
<=> sz10 = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl35_1])]) ).
fof(f463,plain,
( ~ aElementOf0(sK17,sF33)
| spl35_2 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl35_2
<=> aElementOf0(sK17,sF33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_2])]) ).
fof(f2118,plain,
( spl35_1
| spl35_8
| spl35_53
| ~ spl35_54 ),
inference(avatar_contradiction_clause,[],[f2117]) ).
fof(f2117,plain,
( $false
| spl35_1
| spl35_8
| spl35_53
| ~ spl35_54 ),
inference(subsumption_resolution,[],[f2116,f459]) ).
fof(f459,plain,
( sz10 != sK17
| spl35_1 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f2116,plain,
( sz10 = sK17
| spl35_1
| spl35_8
| spl35_53
| ~ spl35_54 ),
inference(subsumption_resolution,[],[f2115,f1369]) ).
fof(f1369,plain,
( aInteger0(sK17)
| ~ spl35_54 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1368,plain,
( spl35_54
<=> aInteger0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_54])]) ).
fof(f2115,plain,
( ~ aInteger0(sK17)
| sz10 = sK17
| spl35_1
| spl35_8
| spl35_53
| ~ spl35_54 ),
inference(subsumption_resolution,[],[f2114,f487]) ).
fof(f487,plain,
( sK17 != sF34
| spl35_8 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f485,plain,
( spl35_8
<=> sK17 = sF34 ),
introduced(avatar_definition,[new_symbols(naming,[spl35_8])]) ).
fof(f2114,plain,
( sK17 = sF34
| sz10 = sK17
| ~ aInteger0(sK17)
| spl35_1
| spl35_8
| spl35_53
| ~ spl35_54 ),
inference(resolution,[],[f2097,f1665]) ).
fof(f1665,plain,
! [X0] :
( isPrime0(sK23(X0))
| sz10 = X0
| sF34 = X0
| ~ aInteger0(X0) ),
inference(forward_demodulation,[],[f337,f448]) ).
fof(f448,plain,
smndt0(sz10) = sF34,
introduced(function_definition,[]) ).
fof(f337,plain,
! [X0] :
( isPrime0(sK23(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ( sz10 != X0
& smndt0(sz10) != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) )
& ( ( isPrime0(sK23(X0))
& aDivisorOf0(sK23(X0),X0) )
| sz10 = X0
| smndt0(sz10) = X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f196,f197]) ).
fof(f197,plain,
! [X0] :
( ? [X2] :
( isPrime0(X2)
& aDivisorOf0(X2,X0) )
=> ( isPrime0(sK23(X0))
& aDivisorOf0(sK23(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ( sz10 != X0
& smndt0(sz10) != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) )
& ( ? [X2] :
( isPrime0(X2)
& aDivisorOf0(X2,X0) )
| sz10 = X0
| smndt0(sz10) = X0 ) ) ),
inference(rectify,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ( sz10 != X0
& smndt0(sz10) != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) )
& ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| sz10 = X0
| smndt0(sz10) = X0 ) ) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( ( sz10 != X0
& smndt0(sz10) != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) )
& ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| sz10 = X0
| smndt0(sz10) = X0 ) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ~ aInteger0(X0)
| ( ( sz10 != X0
& smndt0(sz10) != X0 )
<=> ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aInteger0(X0)
=> ( ( sz10 != X0
& smndt0(sz10) != X0 )
<=> ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimeDivisor) ).
fof(f2097,plain,
( ~ isPrime0(sK23(sK17))
| spl35_1
| spl35_8
| spl35_53
| ~ spl35_54 ),
inference(subsumption_resolution,[],[f2096,f487]) ).
fof(f2096,plain,
( sK17 = sF34
| ~ isPrime0(sK23(sK17))
| spl35_1
| spl35_53
| ~ spl35_54 ),
inference(subsumption_resolution,[],[f2095,f459]) ).
fof(f2095,plain,
( sz10 = sK17
| sK17 = sF34
| ~ isPrime0(sK23(sK17))
| spl35_53
| ~ spl35_54 ),
inference(subsumption_resolution,[],[f2087,f1369]) ).
fof(f2087,plain,
( ~ isPrime0(sK23(sK17))
| ~ aInteger0(sK17)
| sz10 = sK17
| sK17 = sF34
| spl35_53
| ~ spl35_54 ),
inference(resolution,[],[f2007,f1428]) ).
fof(f1428,plain,
( ! [X1] :
( ~ aDivisorOf0(X1,sK17)
| ~ isPrime0(X1) )
| spl35_53
| ~ spl35_54 ),
inference(subsumption_resolution,[],[f1427,f1369]) ).
fof(f1427,plain,
( ! [X1] :
( ~ aDivisorOf0(X1,sK17)
| ~ isPrime0(X1)
| ~ aInteger0(sK17) )
| spl35_53 ),
inference(resolution,[],[f1365,f439]) ).
fof(f439,plain,
! [X0,X1] :
( aElementOf0(X0,sF31)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X1,X0)
| ~ isPrime0(X1) ),
inference(definition_folding,[],[f388,f434]) ).
fof(f388,plain,
! [X0,X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0)
| aElementOf0(X0,sbsmnsldt0(cS2043))
| ~ aInteger0(X0) ),
inference(definition_unfolding,[],[f294,f318]) ).
fof(f294,plain,
! [X0,X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0)
| aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f1365,plain,
( ~ aElementOf0(sK17,sF31)
| spl35_53 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1364,plain,
( spl35_53
<=> aElementOf0(sK17,sF31) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_53])]) ).
fof(f2007,plain,
! [X0] :
( aDivisorOf0(sK23(X0),X0)
| sz10 = X0
| ~ aInteger0(X0)
| sF34 = X0 ),
inference(forward_demodulation,[],[f336,f448]) ).
fof(f336,plain,
! [X0] :
( sz10 = X0
| aDivisorOf0(sK23(X0),X0)
| ~ aInteger0(X0)
| smndt0(sz10) = X0 ),
inference(cnf_transformation,[],[f198]) ).
fof(f1424,plain,
( ~ spl35_53
| ~ spl35_2 ),
inference(avatar_split_clause,[],[f1420,f461,f1364]) ).
fof(f1420,plain,
( ~ aElementOf0(sK17,sF31)
| ~ spl35_2 ),
inference(resolution,[],[f462,f445]) ).
fof(f445,plain,
! [X5] :
( ~ aElementOf0(X5,sF33)
| ~ aElementOf0(X5,sF31) ),
inference(definition_folding,[],[f395,f441,f434,f434]) ).
fof(f395,plain,
! [X5] :
( ~ aElementOf0(X5,sbsmnsldt0(cS2043))
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f286,f318,f318]) ).
fof(f286,plain,
! [X5] :
( ~ aElementOf0(X5,sbsmnsldt0(xS))
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f177]) ).
fof(f462,plain,
( aElementOf0(sK17,sF33)
| ~ spl35_2 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f1418,plain,
( ~ spl35_4
| ~ spl35_8
| ~ spl35_53 ),
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1417,plain,
( $false
| ~ spl35_4
| ~ spl35_8
| ~ spl35_53 ),
inference(subsumption_resolution,[],[f1408,f1405]) ).
fof(f1405,plain,
( ~ sP2(sK17)
| ~ spl35_4
| ~ spl35_8 ),
inference(backward_demodulation,[],[f514,f486]) ).
fof(f486,plain,
( sK17 = sF34
| ~ spl35_8 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f514,plain,
( ~ sP2(sF34)
| ~ spl35_4 ),
inference(subsumption_resolution,[],[f513,f271]) ).
fof(f271,plain,
! [X0] :
( isPrime0(sK14(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( aDivisorOf0(sK14(X0),X0)
& sdtasdt0(sK14(X0),sK15(X0)) = X0
& aInteger0(sK15(X0))
& aInteger0(sK14(X0))
& sz00 != sK14(X0)
& isPrime0(sK14(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f167,f169,f168]) ).
fof(f168,plain,
! [X0] :
( ? [X1] :
( aDivisorOf0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& aInteger0(X1)
& sz00 != X1
& isPrime0(X1) )
=> ( aDivisorOf0(sK14(X0),X0)
& ? [X2] :
( sdtasdt0(sK14(X0),X2) = X0
& aInteger0(X2) )
& aInteger0(sK14(X0))
& sz00 != sK14(X0)
& isPrime0(sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0] :
( ? [X2] :
( sdtasdt0(sK14(X0),X2) = X0
& aInteger0(X2) )
=> ( sdtasdt0(sK14(X0),sK15(X0)) = X0
& aInteger0(sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0] :
( ? [X1] :
( aDivisorOf0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& aInteger0(X1)
& sz00 != X1
& isPrime0(X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ? [X5] :
( aDivisorOf0(X5,X0)
& ? [X6] :
( sdtasdt0(X5,X6) = X0
& aInteger0(X6) )
& aInteger0(X5)
& sz00 != X5
& isPrime0(X5) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f513,plain,
( ~ isPrime0(sK14(sF34))
| ~ sP2(sF34)
| ~ spl35_4 ),
inference(resolution,[],[f276,f507]) ).
fof(f507,plain,
( ! [X1] :
( ~ aDivisorOf0(X1,sF34)
| ~ isPrime0(X1) )
| ~ spl35_4 ),
inference(forward_demodulation,[],[f471,f448]) ).
fof(f471,plain,
( ! [X1] :
( ~ aDivisorOf0(X1,smndt0(sz10))
| ~ isPrime0(X1) )
| ~ spl35_4 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f470,plain,
( spl35_4
<=> ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_4])]) ).
fof(f276,plain,
! [X0] :
( aDivisorOf0(sK14(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1408,plain,
( sP2(sK17)
| ~ spl35_53 ),
inference(resolution,[],[f1366,f528]) ).
fof(f528,plain,
! [X0] :
( ~ aElementOf0(X0,sF31)
| sP2(X0) ),
inference(subsumption_resolution,[],[f440,f453]) ).
fof(f453,plain,
! [X7] :
( ~ aElementOf0(X7,sF31)
| aInteger0(X7) ),
inference(definition_folding,[],[f402,f434]) ).
fof(f402,plain,
! [X7] :
( aInteger0(X7)
| ~ aElementOf0(X7,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f279,f318]) ).
fof(f279,plain,
! [X7] :
( aInteger0(X7)
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f440,plain,
! [X0] :
( ~ aElementOf0(X0,sF31)
| sP2(X0)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f391,f434]) ).
fof(f391,plain,
! [X0] :
( sP2(X0)
| ~ aElementOf0(X0,sbsmnsldt0(cS2043))
| ~ aInteger0(X0) ),
inference(definition_unfolding,[],[f290,f318]) ).
fof(f290,plain,
! [X0] :
( sP2(X0)
| ~ aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f1366,plain,
( aElementOf0(sK17,sF31)
| ~ spl35_53 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1404,plain,
( spl35_53
| spl35_2
| ~ spl35_54 ),
inference(avatar_split_clause,[],[f1403,f1368,f461,f1364]) ).
fof(f1403,plain,
( aElementOf0(sK17,sF31)
| spl35_2
| ~ spl35_54 ),
inference(subsumption_resolution,[],[f1402,f1369]) ).
fof(f1402,plain,
( aElementOf0(sK17,sF31)
| ~ aInteger0(sK17)
| spl35_2 ),
inference(resolution,[],[f463,f446]) ).
fof(f1394,plain,
( ~ spl35_2
| spl35_54 ),
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1393,plain,
( $false
| ~ spl35_2
| spl35_54 ),
inference(subsumption_resolution,[],[f1389,f1370]) ).
fof(f1370,plain,
( ~ aInteger0(sK17)
| spl35_54 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1389,plain,
( aInteger0(sK17)
| ~ spl35_2 ),
inference(resolution,[],[f462,f444]) ).
fof(f444,plain,
! [X5] :
( ~ aElementOf0(X5,sF33)
| aInteger0(X5) ),
inference(definition_folding,[],[f394,f441,f434]) ).
fof(f394,plain,
! [X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f287,f318]) ).
fof(f287,plain,
! [X5] :
( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f177]) ).
fof(f1387,plain,
( ~ spl35_1
| ~ spl35_9
| spl35_54 ),
inference(avatar_contradiction_clause,[],[f1386]) ).
fof(f1386,plain,
( $false
| ~ spl35_1
| ~ spl35_9
| spl35_54 ),
inference(subsumption_resolution,[],[f1385,f492]) ).
fof(f1385,plain,
( ~ aInteger0(sz10)
| ~ spl35_1
| spl35_54 ),
inference(backward_demodulation,[],[f1370,f458]) ).
fof(f1383,plain,
( ~ spl35_3
| ~ spl35_8
| spl35_54 ),
inference(avatar_contradiction_clause,[],[f1382]) ).
fof(f1382,plain,
( $false
| ~ spl35_3
| ~ spl35_8
| spl35_54 ),
inference(subsumption_resolution,[],[f1373,f1370]) ).
fof(f1373,plain,
( aInteger0(sK17)
| ~ spl35_3
| ~ spl35_8 ),
inference(backward_demodulation,[],[f506,f486]) ).
fof(f506,plain,
( aInteger0(sF34)
| ~ spl35_3 ),
inference(forward_demodulation,[],[f467,f448]) ).
fof(f467,plain,
( aInteger0(smndt0(sz10))
| ~ spl35_3 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl35_3
<=> aInteger0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_3])]) ).
fof(f584,plain,
spl35_17,
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f583,plain,
( $false
| spl35_17 ),
inference(subsumption_resolution,[],[f582,f340]) ).
fof(f340,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(f582,plain,
( ~ aInteger0(sz00)
| spl35_17 ),
inference(resolution,[],[f577,f260]) ).
fof(f260,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f577,plain,
( ~ aInteger0(smndt0(sz00))
| spl35_17 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f575,plain,
( spl35_17
<=> aInteger0(smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_17])]) ).
fof(f581,plain,
( spl35_16
| ~ spl35_17 ),
inference(avatar_split_clause,[],[f580,f575,f571]) ).
fof(f580,plain,
( ~ aInteger0(smndt0(sz00))
| sz00 = smndt0(sz00) ),
inference(subsumption_resolution,[],[f565,f340]) ).
fof(f565,plain,
( ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sz00))
| sz00 = smndt0(sz00) ),
inference(superposition,[],[f354,f248]) ).
fof(f248,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f354,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(f504,plain,
( spl35_3
| ~ spl35_9 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f503,plain,
( $false
| spl35_3
| ~ spl35_9 ),
inference(subsumption_resolution,[],[f502,f492]) ).
fof(f502,plain,
( ~ aInteger0(sz10)
| spl35_3 ),
inference(subsumption_resolution,[],[f501,f499]) ).
fof(f499,plain,
( ~ aInteger0(sF34)
| spl35_3 ),
inference(backward_demodulation,[],[f468,f448]) ).
fof(f468,plain,
( ~ aInteger0(smndt0(sz10))
| spl35_3 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f501,plain,
( aInteger0(sF34)
| ~ aInteger0(sz10) ),
inference(superposition,[],[f260,f448]) ).
fof(f498,plain,
spl35_9,
inference(avatar_split_clause,[],[f381,f491]) ).
fof(f381,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(f497,plain,
( ~ spl35_9
| spl35_10 ),
inference(avatar_split_clause,[],[f430,f495,f491]) ).
fof(f430,plain,
! [X1] :
( ~ isPrime0(X1)
| ~ aInteger0(sz10)
| ~ aDivisorOf0(X1,sz10) ),
inference(equality_resolution,[],[f339]) ).
fof(f339,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| sz10 != X0
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f489,plain,
( spl35_8
| spl35_1
| spl35_2 ),
inference(avatar_split_clause,[],[f450,f461,f457,f485]) ).
fof(f450,plain,
( aElementOf0(sK17,sF33)
| sz10 = sK17
| sK17 = sF34 ),
inference(definition_folding,[],[f399,f441,f434,f448]) ).
fof(f399,plain,
( sz10 = sK17
| smndt0(sz10) = sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f282,f318]) ).
fof(f282,plain,
( sz10 = sK17
| smndt0(sz10) = sK17
| aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f177]) ).
fof(f488,plain,
( ~ spl35_8
| ~ spl35_2 ),
inference(avatar_split_clause,[],[f449,f461,f485]) ).
fof(f449,plain,
( ~ aElementOf0(sK17,sF33)
| sK17 != sF34 ),
inference(definition_folding,[],[f398,f441,f434,f448]) ).
fof(f398,plain,
( smndt0(sz10) != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f283,f318]) ).
fof(f283,plain,
( smndt0(sz10) != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f177]) ).
fof(f472,plain,
( ~ spl35_3
| spl35_4 ),
inference(avatar_split_clause,[],[f431,f470,f466]) ).
fof(f431,plain,
! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(equality_resolution,[],[f338]) ).
fof(f338,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| smndt0(sz10) != X0
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f464,plain,
( ~ spl35_1
| ~ spl35_2 ),
inference(avatar_split_clause,[],[f447,f461,f457]) ).
fof(f447,plain,
( ~ aElementOf0(sK17,sF33)
| sz10 != sK17 ),
inference(definition_folding,[],[f397,f441,f434]) ).
fof(f397,plain,
( sz10 != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f284,f318]) ).
fof(f284,plain,
( sz10 != sK17
| ~ aElementOf0(sK17,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM448+5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 06:55:16 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (5692)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)
% 0.19/0.49 % (5690)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)
% 0.19/0.49 % (5695)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)
% 0.19/0.50 % (5686)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)
% 0.19/0.51 % (5692)Instruction limit reached!
% 0.19/0.51 % (5692)------------------------------
% 0.19/0.51 % (5692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5692)Termination reason: Unknown
% 0.19/0.51 % (5692)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (5692)Memory used [KB]: 6268
% 0.19/0.51 % (5692)Time elapsed: 0.007 s
% 0.19/0.51 % (5692)Instructions burned: 12 (million)
% 0.19/0.51 % (5692)------------------------------
% 0.19/0.51 % (5692)------------------------------
% 0.19/0.51 % (5706)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)
% 0.19/0.51 % (5687)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)
% 0.19/0.51 % (5704)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)
% 0.19/0.51 % (5698)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)
% 0.19/0.52 % (5703)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)
% 0.19/0.52 % (5700)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)
% 0.19/0.52 % (5697)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)
% 0.19/0.52 % (5696)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)
% 0.19/0.52 % (5685)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)
% 0.19/0.52 % (5682)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (5700)Instruction limit reached!
% 0.19/0.52 % (5700)------------------------------
% 0.19/0.52 % (5700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (5700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (5700)Termination reason: Unknown
% 0.19/0.52 % (5700)Termination phase: Preprocessing 1
% 0.19/0.52
% 0.19/0.52 % (5700)Memory used [KB]: 1407
% 0.19/0.52 % (5700)Time elapsed: 0.004 s
% 0.19/0.52 % (5700)Instructions burned: 2 (million)
% 0.19/0.52 % (5700)------------------------------
% 0.19/0.52 % (5700)------------------------------
% 0.19/0.52 % (5691)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)
% 0.19/0.52 % (5683)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)
% 0.19/0.52 % (5694)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)
% 0.19/0.53 % (5709)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)
% 0.19/0.53 % (5701)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)
% 0.19/0.53 % (5687)Instruction limit reached!
% 0.19/0.53 % (5687)------------------------------
% 0.19/0.53 % (5687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5689)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)
% 0.19/0.53 % (5687)Termination reason: Unknown
% 0.19/0.53 % (5687)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (5687)Memory used [KB]: 1791
% 0.19/0.53 % (5687)Time elapsed: 0.136 s
% 0.19/0.53 % (5687)Instructions burned: 16 (million)
% 0.19/0.53 % (5687)------------------------------
% 0.19/0.53 % (5687)------------------------------
% 0.19/0.53 % (5684)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)
% 0.19/0.53 % (5684)Instruction limit reached!
% 0.19/0.53 % (5684)------------------------------
% 0.19/0.53 % (5684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5684)Termination reason: Unknown
% 0.19/0.53 % (5684)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (5684)Memory used [KB]: 1535
% 0.19/0.53 % (5684)Time elapsed: 0.003 s
% 0.19/0.53 % (5684)Instructions burned: 3 (million)
% 0.19/0.53 % (5684)------------------------------
% 0.19/0.53 % (5684)------------------------------
% 0.19/0.53 % (5686)Instruction limit reached!
% 0.19/0.53 % (5686)------------------------------
% 0.19/0.53 % (5686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5686)Termination reason: Unknown
% 0.19/0.53 % (5686)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (5686)Memory used [KB]: 6268
% 0.19/0.53 % (5686)Time elapsed: 0.145 s
% 0.19/0.53 % (5686)Instructions burned: 13 (million)
% 0.19/0.53 % (5686)------------------------------
% 0.19/0.53 % (5686)------------------------------
% 0.19/0.53 % (5702)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)
% 0.19/0.53 % (5694)Instruction limit reached!
% 0.19/0.53 % (5694)------------------------------
% 0.19/0.53 % (5694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5694)Termination reason: Unknown
% 0.19/0.53 % (5694)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (5694)Memory used [KB]: 1918
% 0.19/0.53 % (5694)Time elapsed: 0.142 s
% 0.19/0.53 % (5694)Instructions burned: 16 (million)
% 0.19/0.53 % (5694)------------------------------
% 0.19/0.53 % (5694)------------------------------
% 0.19/0.53 % (5708)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)
% 0.19/0.53 % (5688)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)
% 0.19/0.53 % (5705)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)
% 0.19/0.53 % (5710)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)
% 0.19/0.53 % (5696)Instruction limit reached!
% 0.19/0.53 % (5696)------------------------------
% 0.19/0.53 % (5696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5696)Termination reason: Unknown
% 0.19/0.53 % (5696)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (5696)Memory used [KB]: 1663
% 0.19/0.53 % (5696)Time elapsed: 0.004 s
% 0.19/0.53 % (5696)Instructions burned: 4 (million)
% 0.19/0.53 % (5696)------------------------------
% 0.19/0.53 % (5696)------------------------------
% 0.19/0.53 % (5711)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)
% 0.19/0.53 % (5707)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)
% 0.19/0.54 % (5710)Instruction limit reached!
% 0.19/0.54 % (5710)------------------------------
% 0.19/0.54 % (5710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5699)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (5683)Instruction limit reached!
% 0.19/0.54 % (5683)------------------------------
% 0.19/0.54 % (5683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5693)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)
% 0.19/0.54 % (5697)Instruction limit reached!
% 0.19/0.54 % (5697)------------------------------
% 0.19/0.54 % (5697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5697)Termination reason: Unknown
% 0.19/0.54 % (5697)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (5697)Memory used [KB]: 6140
% 0.19/0.54 % (5697)Time elapsed: 0.006 s
% 0.19/0.54 % (5697)Instructions burned: 8 (million)
% 0.19/0.54 % (5697)------------------------------
% 0.19/0.54 % (5697)------------------------------
% 0.19/0.54 % (5701)Instruction limit reached!
% 0.19/0.54 % (5701)------------------------------
% 0.19/0.54 % (5701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5693)Instruction limit reached!
% 0.19/0.55 % (5693)------------------------------
% 0.19/0.55 % (5693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5683)Termination reason: Unknown
% 0.19/0.55 % (5683)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (5683)Memory used [KB]: 6396
% 0.19/0.55 % (5683)Time elapsed: 0.150 s
% 0.19/0.55 % (5683)Instructions burned: 14 (million)
% 0.19/0.55 % (5683)------------------------------
% 0.19/0.55 % (5683)------------------------------
% 0.19/0.55 % (5693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5693)Termination reason: Unknown
% 0.19/0.55 % (5693)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (5693)Memory used [KB]: 1663
% 0.19/0.55 % (5693)Time elapsed: 0.005 s
% 0.19/0.55 % (5693)Instructions burned: 8 (million)
% 0.19/0.55 % (5693)------------------------------
% 0.19/0.55 % (5693)------------------------------
% 0.19/0.55 % (5701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5701)Termination reason: Unknown
% 0.19/0.55 % (5701)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (5701)Memory used [KB]: 6268
% 0.19/0.55 % (5701)Time elapsed: 0.156 s
% 0.19/0.55 % (5701)Instructions burned: 11 (million)
% 0.19/0.55 % (5701)------------------------------
% 0.19/0.55 % (5701)------------------------------
% 0.19/0.55 % (5710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5710)Termination reason: Unknown
% 0.19/0.55 % (5710)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (5710)Memory used [KB]: 1663
% 0.19/0.55 % (5710)Time elapsed: 0.005 s
% 0.19/0.55 % (5710)Instructions burned: 9 (million)
% 0.19/0.55 % (5710)------------------------------
% 0.19/0.55 % (5710)------------------------------
% 0.19/0.55 % (5699)Instruction limit reached!
% 0.19/0.55 % (5699)------------------------------
% 0.19/0.55 % (5699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5699)Termination reason: Unknown
% 0.19/0.55 % (5699)Termination phase: Preprocessing 3
% 0.19/0.55
% 0.19/0.55 % (5699)Memory used [KB]: 1535
% 0.19/0.55 % (5699)Time elapsed: 0.004 s
% 0.19/0.55 % (5699)Instructions burned: 3 (million)
% 0.19/0.55 % (5699)------------------------------
% 0.19/0.55 % (5699)------------------------------
% 0.19/0.56 % (5691)Instruction limit reached!
% 0.19/0.56 % (5691)------------------------------
% 0.19/0.56 % (5691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (5691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (5691)Termination reason: Unknown
% 0.19/0.56 % (5691)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (5691)Memory used [KB]: 6780
% 0.19/0.57 % (5691)Time elapsed: 0.163 s
% 0.19/0.57 % (5691)Instructions burned: 33 (million)
% 0.19/0.57 % (5691)------------------------------
% 0.19/0.57 % (5691)------------------------------
% 0.19/0.57 % (5711)Instruction limit reached!
% 0.19/0.57 % (5711)------------------------------
% 0.19/0.57 % (5711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (5711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (5711)Termination reason: Unknown
% 0.19/0.57 % (5711)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (5711)Memory used [KB]: 6396
% 0.19/0.57 % (5711)Time elapsed: 0.187 s
% 0.19/0.57 % (5711)Instructions burned: 24 (million)
% 0.19/0.57 % (5711)------------------------------
% 0.19/0.57 % (5711)------------------------------
% 0.19/0.58 % (5702)Instruction limit reached!
% 0.19/0.58 % (5702)------------------------------
% 0.19/0.58 % (5702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (5702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (5702)Termination reason: Unknown
% 0.19/0.58 % (5702)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (5702)Memory used [KB]: 6524
% 0.19/0.58 % (5702)Time elapsed: 0.200 s
% 0.19/0.58 % (5702)Instructions burned: 30 (million)
% 0.19/0.58 % (5702)------------------------------
% 0.19/0.58 % (5702)------------------------------
% 0.19/0.59 % (5709)Instruction limit reached!
% 0.19/0.59 % (5709)------------------------------
% 0.19/0.59 % (5709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (5709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (5709)Termination reason: Unknown
% 0.19/0.59 % (5709)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (5709)Memory used [KB]: 6524
% 0.19/0.59 % (5709)Time elapsed: 0.150 s
% 0.19/0.59 % (5709)Instructions burned: 25 (million)
% 0.19/0.59 % (5709)------------------------------
% 0.19/0.59 % (5709)------------------------------
% 0.19/0.59 % (5685)Instruction limit reached!
% 0.19/0.59 % (5685)------------------------------
% 0.19/0.59 % (5685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (5689)Instruction limit reached!
% 0.19/0.59 % (5689)------------------------------
% 0.19/0.59 % (5689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (5689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (5689)Termination reason: Unknown
% 0.19/0.59 % (5689)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (5689)Memory used [KB]: 6780
% 0.19/0.59 % (5689)Time elapsed: 0.164 s
% 0.19/0.59 % (5689)Instructions burned: 39 (million)
% 0.19/0.59 % (5689)------------------------------
% 0.19/0.59 % (5689)------------------------------
% 0.19/0.59 % (5690)Instruction limit reached!
% 0.19/0.59 % (5690)------------------------------
% 0.19/0.59 % (5690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (5690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (5690)Termination reason: Unknown
% 0.19/0.59 % (5690)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (5690)Memory used [KB]: 7036
% 0.19/0.59 % (5690)Time elapsed: 0.184 s
% 0.19/0.59 % (5690)Instructions burned: 50 (million)
% 0.19/0.59 % (5690)------------------------------
% 0.19/0.59 % (5690)------------------------------
% 0.19/0.59 % (5688)Instruction limit reached!
% 0.19/0.59 % (5688)------------------------------
% 0.19/0.59 % (5688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (5688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (5688)Termination reason: Unknown
% 0.19/0.59 % (5688)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (5688)Memory used [KB]: 6652
% 0.19/0.59 % (5688)Time elapsed: 0.172 s
% 0.19/0.59 % (5688)Instructions burned: 41 (million)
% 0.19/0.59 % (5688)------------------------------
% 0.19/0.59 % (5688)------------------------------
% 0.19/0.60 % (5695)Instruction limit reached!
% 0.19/0.60 % (5695)------------------------------
% 0.19/0.60 % (5695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (5695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (5695)Termination reason: Unknown
% 0.19/0.60 % (5695)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (5695)Memory used [KB]: 7164
% 0.19/0.60 % (5695)Time elapsed: 0.192 s
% 0.19/0.60 % (5695)Instructions burned: 51 (million)
% 0.19/0.60 % (5695)------------------------------
% 0.19/0.60 % (5695)------------------------------
% 0.19/0.60 % (5698)Instruction limit reached!
% 0.19/0.60 % (5698)------------------------------
% 0.19/0.60 % (5698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (5698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (5698)Termination reason: Unknown
% 0.19/0.60 % (5698)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (5698)Memory used [KB]: 6780
% 0.19/0.60 % (5698)Time elapsed: 0.172 s
% 0.19/0.60 % (5698)Instructions burned: 50 (million)
% 0.19/0.60 % (5698)------------------------------
% 0.19/0.60 % (5698)------------------------------
% 0.19/0.60 % (5706)Instruction limit reached!
% 0.19/0.60 % (5706)------------------------------
% 0.19/0.60 % (5706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (5706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (5706)Termination reason: Unknown
% 0.19/0.60 % (5706)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (5706)Memory used [KB]: 7036
% 0.19/0.60 % (5706)Time elapsed: 0.203 s
% 0.19/0.60 % (5706)Instructions burned: 51 (million)
% 0.19/0.60 % (5706)------------------------------
% 0.19/0.60 % (5706)------------------------------
% 0.19/0.60 % (5685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (5685)Termination reason: Unknown
% 0.19/0.60 % (5685)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (5685)Memory used [KB]: 7036
% 0.19/0.60 % (5685)Time elapsed: 0.200 s
% 0.19/0.60 % (5685)Instructions burned: 53 (million)
% 0.19/0.60 % (5685)------------------------------
% 0.19/0.60 % (5685)------------------------------
% 2.12/0.61 % (5705)Instruction limit reached!
% 2.12/0.61 % (5705)------------------------------
% 2.12/0.61 % (5705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.61 % (5705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.61 % (5705)Termination reason: Unknown
% 2.12/0.61 % (5705)Termination phase: Saturation
% 2.12/0.61
% 2.12/0.61 % (5705)Memory used [KB]: 2302
% 2.12/0.61 % (5705)Time elapsed: 0.194 s
% 2.12/0.61 % (5705)Instructions burned: 45 (million)
% 2.12/0.61 % (5705)------------------------------
% 2.12/0.61 % (5705)------------------------------
% 2.24/0.63 % (5713)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.24/0.65 % (5715)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.24/0.65 % (5712)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.24/0.66 % (5713)Instruction limit reached!
% 2.24/0.66 % (5713)------------------------------
% 2.24/0.66 % (5713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.66 % (5713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.66 % (5713)Termination reason: Unknown
% 2.24/0.66 % (5713)Termination phase: Saturation
% 2.24/0.66
% 2.24/0.66 % (5713)Memory used [KB]: 6140
% 2.24/0.66 % (5713)Time elapsed: 0.005 s
% 2.24/0.66 % (5713)Instructions burned: 7 (million)
% 2.24/0.66 % (5713)------------------------------
% 2.24/0.66 % (5713)------------------------------
% 2.24/0.66 % (5704)Instruction limit reached!
% 2.24/0.66 % (5704)------------------------------
% 2.24/0.66 % (5704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.66 % (5704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.66 % (5704)Termination reason: Unknown
% 2.24/0.66 % (5704)Termination phase: Saturation
% 2.24/0.66
% 2.24/0.66 % (5704)Memory used [KB]: 8315
% 2.24/0.66 % (5704)Time elapsed: 0.220 s
% 2.24/0.66 % (5704)Instructions burned: 83 (million)
% 2.24/0.66 % (5704)------------------------------
% 2.24/0.66 % (5704)------------------------------
% 2.24/0.66 % (5717)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.24/0.67 % (5723)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.24/0.67 % (5716)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.24/0.67 % (5714)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.24/0.67 % (5720)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.24/0.67 % (5682)First to succeed.
% 2.24/0.68 % (5722)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.24/0.68 % (5724)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.24/0.68 % (5721)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.24/0.69 % (5707)Instruction limit reached!
% 2.24/0.69 % (5707)------------------------------
% 2.24/0.69 % (5707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.69 % (5707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.69 % (5707)Termination reason: Unknown
% 2.24/0.69 % (5707)Termination phase: Saturation
% 2.24/0.69
% 2.24/0.69 % (5707)Memory used [KB]: 7547
% 2.24/0.69 % (5707)Time elapsed: 0.300 s
% 2.24/0.69 % (5707)Instructions burned: 96 (million)
% 2.24/0.69 % (5707)------------------------------
% 2.24/0.69 % (5707)------------------------------
% 2.24/0.69 % (5718)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.24/0.69 % (5719)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.24/0.69 % (5725)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.24/0.70 % (5682)Refutation found. Thanks to Tanya!
% 2.24/0.70 % SZS status Theorem for theBenchmark
% 2.24/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.24/0.70 % (5682)------------------------------
% 2.24/0.70 % (5682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.70 % (5682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.70 % (5682)Termination reason: Refutation
% 2.24/0.70
% 2.24/0.70 % (5682)Memory used [KB]: 7036
% 2.24/0.70 % (5682)Time elapsed: 0.288 s
% 2.24/0.70 % (5682)Instructions burned: 70 (million)
% 2.24/0.70 % (5682)------------------------------
% 2.24/0.70 % (5682)------------------------------
% 2.24/0.70 % (5681)Success in time 0.364 s
%------------------------------------------------------------------------------