TSTP Solution File: NUM450+6 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM450+6 : TPTP v8.2.0. 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 : n021.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 : Tue May 21 01:42:17 EDT 2024
% Result : Theorem 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 79 ( 8 unt; 0 def)
% Number of atoms : 1125 ( 163 equ)
% Maximal formula atoms : 56 ( 14 avg)
% Number of connectives : 1399 ( 353 ~; 287 |; 664 &)
% ( 40 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 5 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-2 aty)
% Number of variables : 310 ( 208 !; 102 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f780,plain,
$false,
inference(avatar_sat_refutation,[],[f746,f751,f778]) ).
fof(f778,plain,
~ spl41_16,
inference(avatar_contradiction_clause,[],[f777]) ).
fof(f777,plain,
( $false
| ~ spl41_16 ),
inference(subsumption_resolution,[],[f775,f556]) ).
fof(f556,plain,
aElementOf0(sz10,cS2076),
inference(forward_demodulation,[],[f528,f472]) ).
fof(f472,plain,
cS2076 = stldt0(sbsmnsldt0(cS2043)),
inference(definition_unfolding,[],[f283,f270]) ).
fof(f270,plain,
xS = cS2043,
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& sP1(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ( szAzrzSzezqlpdtcmdtrp0(sz00,sK15(X0)) = X0
& sP0(sK15(X0))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK15(X0)))
& isPrime0(sK15(X0))
& sz00 != sK15(X0)
& aInteger0(sK15(X0)) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f147,f148]) ).
fof(f148,plain,
! [X0] :
( ? [X2] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X0
& sP0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& isPrime0(X2)
& sz00 != X2
& aInteger0(X2) )
=> ( szAzrzSzezqlpdtcmdtrp0(sz00,sK15(X0)) = X0
& sP0(sK15(X0))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK15(X0)))
& isPrime0(sK15(X0))
& sz00 != sK15(X0)
& aInteger0(sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& sP1(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X2] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X0
& sP0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& isPrime0(X2)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& sP1(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& sP0(X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(definition_folding,[],[f59,f121,f120]) ).
fof(f120,plain,
! [X5] :
( ! [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)) ) )
| ~ sP0(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f121,plain,
! [X1] :
( ! [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)) ) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f59,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,[],[f58]) ).
fof(f58,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,[],[f48]) ).
fof(f48,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/benchmark/theBenchmark.p',m__2046) ).
fof(f283,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(cnf_transformation,[],[f154]) ).
fof(f154,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,sK16(X2))
& aElementOf0(sK16(X2),xS)
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f152,f153]) ).
fof(f153,plain,
! [X2] :
( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
=> ( aElementOf0(X2,sK16(X2))
& aElementOf0(sK16(X2),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f152,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,[],[f151]) ).
fof(f151,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,[],[f150]) ).
fof(f150,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,[],[f49]) ).
fof(f49,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/benchmark/theBenchmark.p',m__2079) ).
fof(f528,plain,
aElementOf0(sz10,stldt0(sbsmnsldt0(cS2043))),
inference(equality_resolution,[],[f474]) ).
fof(f474,plain,
! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(cS2043)))
| sz10 != X0 ),
inference(definition_unfolding,[],[f281,f270]) ).
fof(f281,plain,
! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| sz10 != X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f775,plain,
( ~ aElementOf0(sz10,cS2076)
| ~ spl41_16 ),
inference(trivial_inequality_removal,[],[f772]) ).
fof(f772,plain,
( sz00 != sz00
| ~ aElementOf0(sz10,cS2076)
| ~ spl41_16 ),
inference(superposition,[],[f568,f745]) ).
fof(f745,plain,
( sz00 = sK19(sz10)
| ~ spl41_16 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f743,plain,
( spl41_16
<=> sz00 = sK19(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f568,plain,
! [X0] :
( sz00 != sK19(X0)
| ~ aElementOf0(X0,cS2076) ),
inference(forward_demodulation,[],[f490,f472]) ).
fof(f490,plain,
! [X0] :
( sz00 != sK19(X0)
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f326,f270]) ).
fof(f326,plain,
! [X0] :
( sz00 != sK19(X0)
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ! [X0] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0))) )
& sP3(sK19(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)))
& sz00 != sK19(X0)
& aInteger0(sK19(X0)) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sbsmnsldt0(xS))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& ! [X4] :
( ( aElementOf0(X4,sbsmnsldt0(xS))
| ! [X5] :
( ~ aElementOf0(X4,X5)
| ~ aElementOf0(X5,xS) )
| ~ aInteger0(X4) )
& ( ( aElementOf0(X4,sK20(X4))
& aElementOf0(sK20(X4),xS)
& aInteger0(X4) )
| ~ aElementOf0(X4,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X7] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,sK21(X7)),stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,sK21(X7))) )
& sP2(sK21(X7),X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,sK21(X7)))
& sz00 != sK21(X7)
& aInteger0(sK21(X7)) )
| ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& ! [X10] :
( ( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X10,sbsmnsldt0(xS))
| ~ aInteger0(X10) )
& ( ( ~ aElementOf0(X10,sbsmnsldt0(xS))
& aInteger0(X10) )
| ~ aElementOf0(X10,stldt0(sbsmnsldt0(xS))) ) )
& ! [X11] :
( ( aElementOf0(X11,sbsmnsldt0(xS))
| ! [X12] :
( ~ aElementOf0(X11,X12)
| ~ aElementOf0(X12,xS) )
| ~ aInteger0(X11) )
& ( ( aElementOf0(X11,sK22(X11))
& aElementOf0(sK22(X11),xS)
& aInteger0(X11) )
| ~ aElementOf0(X11,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f165,f169,f168,f167,f166]) ).
fof(f166,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP3(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0))) )
& sP3(sK19(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)))
& sz00 != sK19(X0)
& aInteger0(sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X4] :
( ? [X6] :
( aElementOf0(X4,X6)
& aElementOf0(X6,xS) )
=> ( aElementOf0(X4,sK20(X4))
& aElementOf0(sK20(X4),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP2(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,sK21(X7)),stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,sK21(X7))) )
& sP2(sK21(X7),X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,sK21(X7)))
& sz00 != sK21(X7)
& aInteger0(sK21(X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X11] :
( ? [X13] :
( aElementOf0(X11,X13)
& aElementOf0(X13,xS) )
=> ( aElementOf0(X11,sK22(X11))
& aElementOf0(sK22(X11),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP3(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sbsmnsldt0(xS))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) ) )
& ! [X4] :
( ( aElementOf0(X4,sbsmnsldt0(xS))
| ! [X5] :
( ~ aElementOf0(X4,X5)
| ~ aElementOf0(X5,xS) )
| ~ aInteger0(X4) )
& ( ( ? [X6] :
( aElementOf0(X4,X6)
& aElementOf0(X6,xS) )
& aInteger0(X4) )
| ~ aElementOf0(X4,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP2(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& ! [X10] :
( ( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X10,sbsmnsldt0(xS))
| ~ aInteger0(X10) )
& ( ( ~ aElementOf0(X10,sbsmnsldt0(xS))
& aInteger0(X10) )
| ~ aElementOf0(X10,stldt0(sbsmnsldt0(xS))) ) )
& ! [X11] :
( ( aElementOf0(X11,sbsmnsldt0(xS))
| ! [X12] :
( ~ aElementOf0(X11,X12)
| ~ aElementOf0(X12,xS) )
| ~ aInteger0(X11) )
& ( ( ? [X13] :
( aElementOf0(X11,X13)
& aElementOf0(X13,xS) )
& aInteger0(X11) )
| ~ aElementOf0(X11,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
( ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP3(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X6] :
( ( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X6,sbsmnsldt0(xS))
| ~ aInteger0(X6) )
& ( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) ) )
& ! [X7] :
( ( aElementOf0(X7,sbsmnsldt0(xS))
| ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) )
| ~ aInteger0(X7) )
& ( ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) )
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( ? [X10] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(sbsmnsldt0(xS)))
& ! [X11] :
( aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& sP2(X10,X9)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& sz00 != X10
& aInteger0(X10) )
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ! [X15] :
( ( aElementOf0(X15,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X15,sbsmnsldt0(xS))
| ~ aInteger0(X15) )
& ( ( ~ aElementOf0(X15,sbsmnsldt0(xS))
& aInteger0(X15) )
| ~ aElementOf0(X15,stldt0(sbsmnsldt0(xS))) ) )
& ! [X16] :
( ( aElementOf0(X16,sbsmnsldt0(xS))
| ! [X17] :
( ~ aElementOf0(X16,X17)
| ~ aElementOf0(X17,xS) )
| ~ aInteger0(X16) )
& ( ( ? [X17] :
( aElementOf0(X16,X17)
& aElementOf0(X17,xS) )
& aInteger0(X16) )
| ~ aElementOf0(X16,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
( ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP3(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X6] :
( ( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X6,sbsmnsldt0(xS))
| ~ aInteger0(X6) )
& ( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) ) )
& ! [X7] :
( ( aElementOf0(X7,sbsmnsldt0(xS))
| ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) )
| ~ aInteger0(X7) )
& ( ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) )
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( ? [X10] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(sbsmnsldt0(xS)))
& ! [X11] :
( aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& sP2(X10,X9)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& sz00 != X10
& aInteger0(X10) )
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ! [X15] :
( ( aElementOf0(X15,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X15,sbsmnsldt0(xS))
| ~ aInteger0(X15) )
& ( ( ~ aElementOf0(X15,sbsmnsldt0(xS))
& aInteger0(X15) )
| ~ aElementOf0(X15,stldt0(sbsmnsldt0(xS))) ) )
& ! [X16] :
( ( aElementOf0(X16,sbsmnsldt0(xS))
| ! [X17] :
( ~ aElementOf0(X16,X17)
| ~ aElementOf0(X17,xS) )
| ~ aInteger0(X16) )
& ( ( ? [X17] :
( aElementOf0(X16,X17)
& aElementOf0(X17,xS) )
& aInteger0(X16) )
| ~ aElementOf0(X16,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
( ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP3(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) ) )
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( ? [X10] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(sbsmnsldt0(xS)))
& ! [X11] :
( aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& sP2(X10,X9)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& sz00 != X10
& aInteger0(X10) )
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ! [X15] :
( aElementOf0(X15,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X15,sbsmnsldt0(xS))
& aInteger0(X15) ) )
& ! [X16] :
( aElementOf0(X16,sbsmnsldt0(xS))
<=> ( ? [X17] :
( aElementOf0(X16,X17)
& aElementOf0(X17,xS) )
& aInteger0(X16) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(definition_folding,[],[f61,f124,f123]) ).
fof(f123,plain,
! [X10,X9] :
( ! [X12] :
( ( aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X9,X10))
| ( ~ sdteqdtlpzmzozddtrp0(X12,X9,X10)
& ~ aDivisorOf0(X10,sdtpldt0(X12,smndt0(X9)))
& ! [X13] :
( sdtpldt0(X12,smndt0(X9)) != sdtasdt0(X10,X13)
| ~ aInteger0(X13) ) )
| ~ aInteger0(X12) )
& ( ( sdteqdtlpzmzozddtrp0(X12,X9,X10)
& aDivisorOf0(X10,sdtpldt0(X12,smndt0(X9)))
& ? [X14] :
( sdtpldt0(X12,smndt0(X9)) = sdtasdt0(X10,X14)
& aInteger0(X14) )
& aInteger0(X12) )
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X9,X10)) ) )
| ~ sP2(X10,X9) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f124,plain,
! [X1,X0] :
( ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtasdt0(X1,X4) != sdtpldt0(X3,smndt0(X0))
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f61,plain,
( ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtasdt0(X1,X4) != sdtpldt0(X3,smndt0(X0))
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) ) )
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( ? [X10] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(sbsmnsldt0(xS)))
& ! [X11] :
( aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& ! [X12] :
( ( aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X9,X10))
| ( ~ sdteqdtlpzmzozddtrp0(X12,X9,X10)
& ~ aDivisorOf0(X10,sdtpldt0(X12,smndt0(X9)))
& ! [X13] :
( sdtpldt0(X12,smndt0(X9)) != sdtasdt0(X10,X13)
| ~ aInteger0(X13) ) )
| ~ aInteger0(X12) )
& ( ( sdteqdtlpzmzozddtrp0(X12,X9,X10)
& aDivisorOf0(X10,sdtpldt0(X12,smndt0(X9)))
& ? [X14] :
( sdtpldt0(X12,smndt0(X9)) = sdtasdt0(X10,X14)
& aInteger0(X14) )
& aInteger0(X12) )
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X9,X10)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& sz00 != X10
& aInteger0(X10) )
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ! [X15] :
( aElementOf0(X15,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X15,sbsmnsldt0(xS))
& aInteger0(X15) ) )
& ! [X16] :
( aElementOf0(X16,sbsmnsldt0(xS))
<=> ( ? [X17] :
( aElementOf0(X16,X17)
& aElementOf0(X17,xS) )
& aInteger0(X16) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
( ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtasdt0(X1,X4) != sdtpldt0(X3,smndt0(X0))
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) ) )
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( ? [X10] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(sbsmnsldt0(xS)))
& ! [X11] :
( aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& ! [X12] :
( ( aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X9,X10))
| ( ~ sdteqdtlpzmzozddtrp0(X12,X9,X10)
& ~ aDivisorOf0(X10,sdtpldt0(X12,smndt0(X9)))
& ! [X13] :
( sdtpldt0(X12,smndt0(X9)) != sdtasdt0(X10,X13)
| ~ aInteger0(X13) ) )
| ~ aInteger0(X12) )
& ( ( sdteqdtlpzmzozddtrp0(X12,X9,X10)
& aDivisorOf0(X10,sdtpldt0(X12,smndt0(X9)))
& ? [X14] :
( sdtpldt0(X12,smndt0(X9)) = sdtasdt0(X10,X14)
& aInteger0(X14) )
& aInteger0(X12) )
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X9,X10)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& sz00 != X10
& aInteger0(X10) )
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ! [X15] :
( aElementOf0(X15,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X15,sbsmnsldt0(xS))
& aInteger0(X15) ) )
& ! [X16] :
( aElementOf0(X16,sbsmnsldt0(xS))
<=> ( ? [X17] :
( aElementOf0(X16,X17)
& aElementOf0(X17,xS) )
& aInteger0(X16) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
& ! [X3] :
( ( ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
| ? [X4] :
( sdtasdt0(X1,X4) = sdtpldt0(X3,smndt0(X0))
& aInteger0(X4) ) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) ) )
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
=> ? [X10] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(sbsmnsldt0(xS)))
& ! [X11] :
( aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10))
=> aElementOf0(X11,stldt0(sbsmnsldt0(xS))) )
& ! [X12] :
( ( ( ( sdteqdtlpzmzozddtrp0(X12,X9,X10)
| aDivisorOf0(X10,sdtpldt0(X12,smndt0(X9)))
| ? [X13] :
( sdtpldt0(X12,smndt0(X9)) = sdtasdt0(X10,X13)
& aInteger0(X13) ) )
& aInteger0(X12) )
=> aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X9,X10)) )
& ( aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X9,X10))
=> ( sdteqdtlpzmzozddtrp0(X12,X9,X10)
& aDivisorOf0(X10,sdtpldt0(X12,smndt0(X9)))
& ? [X14] :
( sdtpldt0(X12,smndt0(X9)) = sdtasdt0(X10,X14)
& aInteger0(X14) )
& aInteger0(X12) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& sz00 != X10
& aInteger0(X10) ) )
& ! [X15] :
( aElementOf0(X15,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X15,sbsmnsldt0(xS))
& aInteger0(X15) ) )
& ! [X16] :
( aElementOf0(X16,sbsmnsldt0(xS))
<=> ( ? [X17] :
( aElementOf0(X16,X17)
& aElementOf0(X17,xS) )
& aInteger0(X16) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [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))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).
fof(f751,plain,
spl41_15,
inference(avatar_contradiction_clause,[],[f750]) ).
fof(f750,plain,
( $false
| spl41_15 ),
inference(subsumption_resolution,[],[f747,f556]) ).
fof(f747,plain,
( ~ aElementOf0(sz10,cS2076)
| spl41_15 ),
inference(resolution,[],[f741,f569]) ).
fof(f569,plain,
! [X0] :
( aInteger0(sK19(X0))
| ~ aElementOf0(X0,cS2076) ),
inference(forward_demodulation,[],[f491,f472]) ).
fof(f491,plain,
! [X0] :
( aInteger0(sK19(X0))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f325,f270]) ).
fof(f325,plain,
! [X0] :
( aInteger0(sK19(X0))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f170]) ).
fof(f741,plain,
( ~ aInteger0(sK19(sz10))
| spl41_15 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f739,plain,
( spl41_15
<=> aInteger0(sK19(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f746,plain,
( ~ spl41_15
| spl41_16 ),
inference(avatar_split_clause,[],[f737,f743,f739]) ).
fof(f737,plain,
( sz00 = sK19(sz10)
| ~ aInteger0(sK19(sz10)) ),
inference(subsumption_resolution,[],[f736,f556]) ).
fof(f736,plain,
( ~ aElementOf0(sz10,cS2076)
| sz00 = sK19(sz10)
| ~ aInteger0(sK19(sz10)) ),
inference(resolution,[],[f563,f600]) ).
fof(f600,plain,
! [X0] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),cS2076)
| sz00 = X0
| ~ aInteger0(X0) ),
inference(forward_demodulation,[],[f523,f472]) ).
fof(f523,plain,
! [X0] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(cS2043)))
| sz00 = X0
| ~ aInteger0(X0) ),
inference(definition_unfolding,[],[f353,f270]) ).
fof(f353,plain,
! [X0] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| sz00 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
& ~ aElementOf0(sK25(X0),stldt0(sbsmnsldt0(xS)))
& aElementOf0(sK25(X0),szAzrzSzezqlpdtcmdtrp0(sz10,X0))
& sP6
& sP5
& aSet0(sbsmnsldt0(xS))
& sP4(X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f182,f183]) ).
fof(f183,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
=> ( ~ aElementOf0(sK25(X0),stldt0(sbsmnsldt0(xS)))
& aElementOf0(sK25(X0),szAzrzSzezqlpdtcmdtrp0(sz10,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
& ? [X1] :
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& sP6
& sP5
& aSet0(sbsmnsldt0(xS))
& sP4(X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
& ? [X7] :
( ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& sP6
& sP5
& aSet0(sbsmnsldt0(xS))
& sP4(X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f63,f128,f127,f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
| ( ~ sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ! [X2] :
( sdtasdt0(X0,X2) != sdtpldt0(X1,smndt0(sz10))
| ~ aInteger0(X2) ) )
| ~ aInteger0(X1) )
& ( ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ? [X3] :
( sdtpldt0(X1,smndt0(sz10)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
& aInteger0(X1) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) ) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f127,plain,
( ! [X4] :
( aElementOf0(X4,sbsmnsldt0(xS))
<=> ( ? [X5] :
( aElementOf0(X4,X5)
& aElementOf0(X5,xS) )
& aInteger0(X4) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f128,plain,
( ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f63,plain,
! [X0] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
& ? [X7] :
( ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) ) )
& ! [X4] :
( aElementOf0(X4,sbsmnsldt0(xS))
<=> ( ? [X5] :
( aElementOf0(X4,X5)
& aElementOf0(X5,xS) )
& aInteger0(X4) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
| ( ~ sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ! [X2] :
( sdtasdt0(X0,X2) != sdtpldt0(X1,smndt0(sz10))
| ~ aInteger0(X2) ) )
| ~ aInteger0(X1) )
& ( ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ? [X3] :
( sdtpldt0(X1,smndt0(sz10)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
& aInteger0(X1) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
& ? [X7] :
( ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) ) )
& ! [X4] :
( aElementOf0(X4,sbsmnsldt0(xS))
<=> ( ? [X5] :
( aElementOf0(X4,X5)
& aElementOf0(X5,xS) )
& aInteger0(X4) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
| ( ~ sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ! [X2] :
( sdtasdt0(X0,X2) != sdtpldt0(X1,smndt0(sz10))
| ~ aInteger0(X2) ) )
| ~ aInteger0(X1) )
& ( ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ? [X3] :
( sdtpldt0(X1,smndt0(sz10)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
& aInteger0(X1) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
| sz00 = X0
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
~ ? [X0] :
( ( ( ! [X1] :
( ( ( ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
| aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
| ? [X2] :
( sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) ) )
& aInteger0(X1) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ? [X3] :
( sdtpldt0(X1,smndt0(sz10)) = sdtasdt0(X0,X3)
& aInteger0(X3) )
& aInteger0(X1) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
=> ( ( ! [X4] :
( aElementOf0(X4,sbsmnsldt0(xS))
<=> ( ? [X5] :
( aElementOf0(X4,X5)
& aElementOf0(X5,xS) )
& aInteger0(X4) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( ! [X6] :
( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) ) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| ! [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> aElementOf0(X7,stldt0(sbsmnsldt0(xS))) ) ) ) ) )
& sz00 != X0
& aInteger0(X0) ),
inference(rectify,[],[f47]) ).
fof(f47,negated_conjecture,
~ ? [X0] :
( ( ( ! [X1] :
( ( ( ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
| aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
| ? [X2] :
( sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) ) )
& aInteger0(X1) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ? [X2] :
( sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) )
& aInteger0(X1) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
=> ( ( ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( ? [X2] :
( aElementOf0(X1,X2)
& aElementOf0(X2,xS) )
& aInteger0(X1) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) ) ) ) )
& sz00 != X0
& aInteger0(X0) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
? [X0] :
( ( ( ! [X1] :
( ( ( ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
| aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
| ? [X2] :
( sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) ) )
& aInteger0(X1) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> ( sdteqdtlpzmzozddtrp0(X1,sz10,X0)
& aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10)))
& ? [X2] :
( sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) )
& aInteger0(X1) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) )
=> ( ( ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( ? [X2] :
( aElementOf0(X1,X2)
& aElementOf0(X2,xS) )
& aInteger0(X1) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))
| ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) ) ) ) )
& sz00 != X0
& aInteger0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f563,plain,
! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)),cS2076)
| ~ aElementOf0(X0,cS2076) ),
inference(forward_demodulation,[],[f562,f472]) ).
fof(f562,plain,
! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)),cS2076)
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(cS2043))) ),
inference(forward_demodulation,[],[f486,f472]) ).
fof(f486,plain,
! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)),stldt0(sbsmnsldt0(cS2043)))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f330,f270,f270]) ).
fof(f330,plain,
! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM450+6 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 05:53:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 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/benchmark/theBenchmark.p
% 0.57/0.75 % (10941)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 theBenchmark for (2995ds/83Mi)
% 0.57/0.75 % (10942)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.57/0.76 % (10935)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 theBenchmark for (2995ds/34Mi)
% 0.57/0.76 % (10937)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.57/0.76 % (10938)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.57/0.76 % (10936)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 theBenchmark for (2995ds/51Mi)
% 0.57/0.76 % (10939)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 theBenchmark for (2995ds/34Mi)
% 0.57/0.76 % (10940)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.77 % (10937)First to succeed.
% 0.60/0.77 % (10942)Also succeeded, but the first one will report.
% 0.60/0.77 % (10938)Instruction limit reached!
% 0.60/0.77 % (10938)------------------------------
% 0.60/0.77 % (10938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (10938)Termination reason: Unknown
% 0.60/0.77 % (10938)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (10938)Memory used [KB]: 1654
% 0.60/0.77 % (10938)Time elapsed: 0.020 s
% 0.60/0.77 % (10938)Instructions burned: 33 (million)
% 0.60/0.77 % (10938)------------------------------
% 0.60/0.77 % (10938)------------------------------
% 0.60/0.77 % (10939)Instruction limit reached!
% 0.60/0.77 % (10939)------------------------------
% 0.60/0.77 % (10939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (10939)Termination reason: Unknown
% 0.60/0.77 % (10939)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (10939)Memory used [KB]: 1756
% 0.60/0.77 % (10939)Time elapsed: 0.021 s
% 0.60/0.77 % (10939)Instructions burned: 35 (million)
% 0.60/0.77 % (10939)------------------------------
% 0.60/0.77 % (10939)------------------------------
% 0.60/0.78 % (10937)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10934"
% 0.60/0.78 % (10935)Instruction limit reached!
% 0.60/0.78 % (10935)------------------------------
% 0.60/0.78 % (10935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (10935)Termination reason: Unknown
% 0.60/0.78 % (10935)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (10935)Memory used [KB]: 1533
% 0.60/0.78 % (10935)Time elapsed: 0.023 s
% 0.60/0.78 % (10935)Instructions burned: 34 (million)
% 0.60/0.78 % (10935)------------------------------
% 0.60/0.78 % (10935)------------------------------
% 0.60/0.78 % (10937)Refutation found. Thanks to Tanya!
% 0.60/0.78 % SZS status Theorem for theBenchmark
% 0.60/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.78 % (10937)------------------------------
% 0.60/0.78 % (10937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (10937)Termination reason: Refutation
% 0.60/0.78
% 0.60/0.78 % (10937)Memory used [KB]: 1456
% 0.60/0.78 % (10937)Time elapsed: 0.022 s
% 0.60/0.78 % (10937)Instructions burned: 37 (million)
% 0.60/0.78 % (10934)Success in time 0.416 s
% 0.60/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------