TSTP Solution File: NUM456+6 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM456+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 May 1 03:31:19 EDT 2024
% Result : Theorem 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 57 ( 10 unt; 0 def)
% Number of atoms : 701 ( 148 equ)
% Maximal formula atoms : 38 ( 12 avg)
% Number of connectives : 871 ( 227 ~; 178 |; 422 &)
% ( 16 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-2 aty)
% Number of variables : 163 ( 106 !; 57 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f796,plain,
$false,
inference(avatar_sat_refutation,[],[f757,f769,f785]) ).
fof(f785,plain,
~ spl29_21,
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f784,plain,
( $false
| ~ spl29_21 ),
inference(trivial_inequality_removal,[],[f775]) ).
fof(f775,plain,
( sK27 != sK27
| ~ spl29_21 ),
inference(superposition,[],[f425,f756]) ).
fof(f756,plain,
( smndt0(sz10) = sK27
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f754,plain,
( spl29_21
<=> smndt0(sz10) = sK27 ),
introduced(avatar_definition,[new_symbols(naming,[spl29_21])]) ).
fof(f425,plain,
smndt0(sz10) != sK27,
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
( ~ aElementOf0(sK27,cS2200)
& smndt0(sz10) != sK27
& sz10 != sK27
& aElementOf0(sK27,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(sK27,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(sK27,smndt0(sz10)))
& sdtpldt0(sK27,smndt0(sz10)) = sdtasdt0(xp,sK28)
& aInteger0(sK28)
& aInteger0(sK27) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f124,f205,f204]) ).
fof(f204,plain,
( ? [X0] :
( ~ aElementOf0(X0,cS2200)
& smndt0(sz10) != X0
& sz10 != X0
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) )
=> ( ~ aElementOf0(sK27,cS2200)
& smndt0(sz10) != sK27
& sz10 != sK27
& aElementOf0(sK27,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(sK27,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(sK27,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sK27,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f205,plain,
( ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sK27,smndt0(sz10))
& aInteger0(X1) )
=> ( sdtpldt0(sK27,smndt0(sz10)) = sdtasdt0(xp,sK28)
& aInteger0(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
? [X0] :
( ~ aElementOf0(X0,cS2200)
& smndt0(sz10) != X0
& sz10 != X0
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
? [X0] :
( ~ aElementOf0(X0,cS2200)
& smndt0(sz10) != X0
& sz10 != X0
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
? [X0] :
( ~ ( aElementOf0(X0,cS2200)
| smndt0(sz10) = X0
| sz10 = X0 )
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9Rq5qXzzRK/Vampire---4.8_16648',m__2203) ).
fof(f769,plain,
~ spl29_20,
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f768,plain,
( $false
| ~ spl29_20 ),
inference(trivial_inequality_removal,[],[f763]) ).
fof(f763,plain,
( sz10 != sz10
| ~ spl29_20 ),
inference(superposition,[],[f424,f752]) ).
fof(f752,plain,
( sz10 = sK27
| ~ spl29_20 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f750,plain,
( spl29_20
<=> sz10 = sK27 ),
introduced(avatar_definition,[new_symbols(naming,[spl29_20])]) ).
fof(f424,plain,
sz10 != sK27,
inference(cnf_transformation,[],[f206]) ).
fof(f757,plain,
( spl29_20
| spl29_21 ),
inference(avatar_split_clause,[],[f748,f754,f750]) ).
fof(f748,plain,
( smndt0(sz10) = sK27
| sz10 = sK27 ),
inference(resolution,[],[f611,f671]) ).
fof(f671,plain,
aElementOf0(sK27,cS2076),
inference(resolution,[],[f654,f423]) ).
fof(f423,plain,
aElementOf0(sK27,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnf_transformation,[],[f206]) ).
fof(f654,plain,
! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X0,cS2076) ),
inference(forward_demodulation,[],[f510,f451]) ).
fof(f451,plain,
cS2076 = stldt0(sbsmnsldt0(cS2043)),
inference(definition_unfolding,[],[f351,f338]) ).
fof(f338,plain,
xS = cS2043,
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,sK15(X1,X2))
& aInteger0(sK15(X1,X2))
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ( szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)) = X0
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,sK16(X0))
& ~ aDivisorOf0(sK16(X0),sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(sK16(X0),X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,sK16(X0))
& aDivisorOf0(sK16(X0),sdtpldt0(X6,smndt0(sz00)))
& sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(sK16(X0),sK17(X0,X6))
& aInteger0(sK17(X0,X6))
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0))) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
& isPrime0(sK16(X0))
& sz00 != sK16(X0)
& aInteger0(sK16(X0)) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f118,f181,f180,f179]) ).
fof(f179,plain,
! [X1,X2] :
( ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
=> ( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,sK15(X1,X2))
& aInteger0(sK15(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0] :
( ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) )
=> ( szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)) = X0
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,sK16(X0))
& ~ aDivisorOf0(sK16(X0),sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(sK16(X0),X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,sK16(X0))
& aDivisorOf0(sK16(X0),sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(sK16(X0),X8)
& aInteger0(X8) )
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0))) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK16(X0)))
& isPrime0(sK16(X0))
& sz00 != sK16(X0)
& aInteger0(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
! [X0,X6] :
( ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(sK16(X0),X8)
& aInteger0(X8) )
=> ( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(sK16(X0),sK17(X0,X6))
& aInteger0(sK17(X0,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
( xS = cS2043
& ! [X0] :
( ( ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( 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) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) ) )
& aInteger0(X6) )
=> 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) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) ) ) )
& aSet0(xS) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( xS = cS2043
& ! [X0] :
( ( ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ? [X1] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1) ) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/tmp/tmp.9Rq5qXzzRK/Vampire---4.8_16648',m__2046) ).
fof(f351,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( aElementOf0(X2,sK18(X2))
& aElementOf0(sK18(X2),xS)
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f185,f186]) ).
fof(f186,plain,
! [X2] :
( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
=> ( aElementOf0(X2,sK18(X2))
& aElementOf0(sK18(X2),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f184]) ).
fof(f184,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X0
| sz10 = X0 ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X0
| sz10 = X0 ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox2/tmp/tmp.9Rq5qXzzRK/Vampire---4.8_16648',m__2079) ).
fof(f510,plain,
! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(cS2043)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(definition_unfolding,[],[f416,f338]) ).
fof(f416,plain,
! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( aElementOf0(X2,sK25(X2))
& aElementOf0(sK25(X2),xS)
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10)))
& ! [X6] :
( sdtasdt0(xp,X6) != sdtpldt0(X5,smndt0(sz10))
| ~ aInteger0(X6) ) )
| ~ aInteger0(X5) )
& ( ( sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10)))
& sdtpldt0(X5,smndt0(sz10)) = sdtasdt0(xp,sK26(X5))
& aInteger0(sK26(X5))
& aInteger0(X5) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f200,f202,f201]) ).
fof(f201,plain,
! [X2] :
( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
=> ( aElementOf0(X2,sK25(X2))
& aElementOf0(sK25(X2),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X5] :
( ? [X7] :
( sdtpldt0(X5,smndt0(sz10)) = sdtasdt0(xp,X7)
& aInteger0(X7) )
=> ( sdtpldt0(X5,smndt0(sz10)) = sdtasdt0(xp,sK26(X5))
& aInteger0(sK26(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10)))
& ! [X6] :
( sdtasdt0(xp,X6) != sdtpldt0(X5,smndt0(sz10))
| ~ aInteger0(X6) ) )
| ~ aInteger0(X5) )
& ( ( sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10)))
& ? [X7] :
( sdtpldt0(X5,smndt0(sz10)) = sdtasdt0(xp,X7)
& aInteger0(X7) )
& aInteger0(X5) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ! [X5] :
( sdtpldt0(X4,smndt0(sz10)) != sdtasdt0(xp,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ? [X6] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ! [X5] :
( sdtpldt0(X4,smndt0(sz10)) != sdtasdt0(xp,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ? [X6] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ! [X5] :
( sdtpldt0(X4,smndt0(sz10)) != sdtasdt0(xp,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ? [X6] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ! [X5] :
( sdtpldt0(X4,smndt0(sz10)) != sdtasdt0(xp,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ? [X6] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
| aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
| ? [X5] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X5)
& aInteger0(X5) ) )
& aInteger0(X4) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ? [X6] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X6)
& aInteger0(X6) )
& aInteger0(X4) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( ( ( sdteqdtlpzmzozddtrp0(X0,sz10,xp)
| aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
| ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) ) )
& aInteger0(X0) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
file('/export/starexec/sandbox2/tmp/tmp.9Rq5qXzzRK/Vampire---4.8_16648',m__2171) ).
fof(f611,plain,
! [X0] :
( ~ aElementOf0(X0,cS2076)
| smndt0(sz10) = X0
| sz10 = X0 ),
inference(forward_demodulation,[],[f454,f451]) ).
fof(f454,plain,
! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f348,f338]) ).
fof(f348,plain,
! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : NUM456+6 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 17:03:18 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_CAX_RFO_SEQ problem
% 0.11/0.32 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.9Rq5qXzzRK/Vampire---4.8_16648
% 0.61/0.81 % (16762)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81 % (16759)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81 % (16763)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81 % (16760)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.81 % (16764)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81 % (16765)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.81 % (16766)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.81 % (16761)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82 % (16760)First to succeed.
% 0.61/0.82 % (16759)Also succeeded, but the first one will report.
% 0.61/0.82 % (16760)Refutation found. Thanks to Tanya!
% 0.61/0.82 % SZS status Theorem for Vampire---4
% 0.61/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82 % (16760)------------------------------
% 0.61/0.82 % (16760)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (16760)Termination reason: Refutation
% 0.61/0.82
% 0.61/0.82 % (16760)Memory used [KB]: 1412
% 0.61/0.82 % (16760)Time elapsed: 0.016 s
% 0.61/0.82 % (16760)Instructions burned: 28 (million)
% 0.61/0.82 % (16760)------------------------------
% 0.61/0.82 % (16760)------------------------------
% 0.61/0.82 % (16756)Success in time 0.501 s
% 0.61/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------