TSTP Solution File: NUM450+6 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 : 600s
% DateTime : Mon Jul 18 12:26:46 EDT 2022
% Result : Theorem 63.05s 63.28s
% Output : CNFRefutation 63.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 11 unt; 0 def)
% Number of atoms : 546 ( 95 equ)
% Maximal formula atoms : 79 ( 8 avg)
% Number of connectives : 725 ( 241 ~; 204 |; 224 &)
% ( 30 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn 93 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2079,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( W0 = sz10
| W0 = smndt0(sz10) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ) ).
fof(m__2144,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
=> ? [W1] :
( aInteger0(W1)
& W1 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
& ! [W2] :
( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> ( aInteger0(W2)
& ? [W3] :
( aInteger0(W3)
& sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) )
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
& ( ( aInteger0(W2)
& ( ? [W3] :
( aInteger0(W3)
& sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) )
| aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
| sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
=> aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) )
& ! [W2] :
( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> aElementOf0(W2,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(sbsmnsldt0(xS))) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
=> ? [W1] :
( aInteger0(W1)
& W1 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
& ! [W2] :
( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> ( aInteger0(W2)
& ? [W3] :
( aInteger0(W3)
& sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) )
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
& ( ( aInteger0(W2)
& ( ? [W3] :
( aInteger0(W3)
& sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) )
| aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
| sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
=> aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) )
& ! [W2] :
( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> aElementOf0(W2,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(sbsmnsldt0(xS))) ) ) ) ).
fof(m__,conjecture,
? [W0] :
( aInteger0(W0)
& W0 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,W0))
& ! [W1] :
( ( aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
=> ( aInteger0(W1)
& ? [W2] :
( aInteger0(W2)
& sdtasdt0(W0,W2) = sdtpldt0(W1,smndt0(sz10)) )
& aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W1,sz10,W0) ) )
& ( ( aInteger0(W1)
& ( ? [W2] :
( aInteger0(W2)
& sdtasdt0(W0,W2) = sdtpldt0(W1,smndt0(sz10)) )
| aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(W1,sz10,W0) ) )
=> aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0)) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [W1] :
( aElementOf0(W1,sbsmnsldt0(xS))
<=> ( aInteger0(W1)
& ? [W2] :
( aElementOf0(W2,xS)
& aElementOf0(W1,W2) ) ) ) )
=> ( ! [W1] :
( aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W1)
& ~ aElementOf0(W1,sbsmnsldt0(xS)) ) )
=> ( ! [W1] :
( aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
=> aElementOf0(W1,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS))) ) ) ) ) ) ).
fof(subgoal_0,plain,
? [W0] :
( aInteger0(W0)
& W0 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,W0))
& ! [W1] :
( ( aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
=> ( aInteger0(W1)
& ? [W2] :
( aInteger0(W2)
& sdtasdt0(W0,W2) = sdtpldt0(W1,smndt0(sz10)) )
& aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W1,sz10,W0) ) )
& ( ( aInteger0(W1)
& ( ? [W2] :
( aInteger0(W2)
& sdtasdt0(W0,W2) = sdtpldt0(W1,smndt0(sz10)) )
| aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(W1,sz10,W0) ) )
=> aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0)) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [W1] :
( aElementOf0(W1,sbsmnsldt0(xS))
<=> ( aInteger0(W1)
& ? [W2] :
( aElementOf0(W2,xS)
& aElementOf0(W1,W2) ) ) ) )
=> ( ! [W1] :
( aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W1)
& ~ aElementOf0(W1,sbsmnsldt0(xS)) ) )
=> ( ! [W1] :
( aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
=> aElementOf0(W1,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS))) ) ) ) ) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] :
( aInteger0(W0)
& W0 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,W0))
& ! [W1] :
( ( aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
=> ( aInteger0(W1)
& ? [W2] :
( aInteger0(W2)
& sdtasdt0(W0,W2) = sdtpldt0(W1,smndt0(sz10)) )
& aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W1,sz10,W0) ) )
& ( ( aInteger0(W1)
& ( ? [W2] :
( aInteger0(W2)
& sdtasdt0(W0,W2) = sdtpldt0(W1,smndt0(sz10)) )
| aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(W1,sz10,W0) ) )
=> aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0)) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [W1] :
( aElementOf0(W1,sbsmnsldt0(xS))
<=> ( aInteger0(W1)
& ? [W2] :
( aElementOf0(W2,xS)
& aElementOf0(W1,W2) ) ) ) )
=> ( ! [W1] :
( aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W1)
& ~ aElementOf0(W1,sbsmnsldt0(xS)) ) )
=> ( ! [W1] :
( aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
=> aElementOf0(W1,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS))) ) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(sbsmnsldt0(xS))
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( W0 != smndt0(sz10)
& W0 != sz10 ) )
& ! [W0] :
( ~ aElementOf0(W0,sbsmnsldt0(xS))
<=> ( ~ aInteger0(W0)
| ! [W1] :
( ~ aElementOf0(W0,W1)
| ~ aElementOf0(W1,xS) ) ) )
& ! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) ) ) ),
inference(canonicalize,[],[m__2079]) ).
fof(normalize_0_1,plain,
! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( W0 != smndt0(sz10)
& W0 != sz10 ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( W0 != smndt0(sz10)
& W0 != sz10 ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [W0] :
( ( W0 != smndt0(sz10)
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ( W0 != sz10
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| W0 = smndt0(sz10)
| W0 = sz10 ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [W0] :
( W0 != sz10
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
( aSet0(sbsmnsldt0(xS))
& isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ? [W1] :
( W1 != sz00
& aInteger0(W1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(sbsmnsldt0(xS)))
& ! [W2] :
( ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| aElementOf0(W2,stldt0(sbsmnsldt0(xS))) )
& ! [W2] :
( ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& aInteger0(W2)
& sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) ) ) )
& ! [W2] :
( ~ aInteger0(W2)
| aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( ~ aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ~ sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ! [W3] :
( sdtasdt0(W1,W3) != sdtpldt0(W2,smndt0(W0))
| ~ aInteger0(W3) ) ) ) ) )
& ! [W0] :
( ~ aElementOf0(W0,sbsmnsldt0(xS))
<=> ( ~ aInteger0(W0)
| ! [W1] :
( ~ aElementOf0(W0,W1)
| ~ aElementOf0(W1,xS) ) ) )
& ! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) ) ) ),
inference(canonicalize,[],[m__2144]) ).
fof(normalize_0_7,plain,
aSet0(sbsmnsldt0(xS)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_8,plain,
! [W0] :
( ~ aElementOf0(W0,sbsmnsldt0(xS))
<=> ( ~ aInteger0(W0)
| ! [W1] :
( ~ aElementOf0(W0,W1)
| ~ aElementOf0(W1,xS) ) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_9,plain,
! [W0] :
( ~ aElementOf0(W0,sbsmnsldt0(xS))
<=> ( ~ aInteger0(W0)
| ! [W1] :
( ~ aElementOf0(W0,W1)
| ~ aElementOf0(W1,xS) ) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_11,plain,
! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
( isClosed0(sbsmnsldt0(xS))
& isOpen0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ? [W1] :
( W1 != sz00
& aInteger0(W1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(sbsmnsldt0(xS)))
& ! [W2] :
( ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| aElementOf0(W2,stldt0(sbsmnsldt0(xS))) )
& ! [W2] :
( ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& aInteger0(W2)
& sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) ) ) )
& ! [W2] :
( ~ aInteger0(W2)
| aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( ~ aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ~ sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ! [W3] :
( sdtasdt0(W1,W3) != sdtpldt0(W2,smndt0(W0))
| ~ aInteger0(W3) ) ) ) ) ) ),
inference(simplify,[],[normalize_0_6,normalize_0_7,normalize_0_9,normalize_0_11]) ).
fof(normalize_0_13,plain,
! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ? [W1] :
( W1 != sz00
& aInteger0(W1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(sbsmnsldt0(xS)))
& ! [W2] :
( ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| aElementOf0(W2,stldt0(sbsmnsldt0(xS))) )
& ! [W2] :
( ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& aInteger0(W2)
& sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) ) ) )
& ! [W2] :
( ~ aInteger0(W2)
| aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( ~ aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ~ sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ! [W3] :
( sdtasdt0(W1,W3) != sdtpldt0(W2,smndt0(W0))
| ~ aInteger0(W3) ) ) ) ) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ? [W1] :
( W1 != sz00
& aInteger0(W1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(sbsmnsldt0(xS)))
& ! [W2] :
( ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| aElementOf0(W2,stldt0(sbsmnsldt0(xS))) )
& ! [W2] :
( ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& aInteger0(W2)
& sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) ) ) )
& ! [W2] :
( ~ aInteger0(W2)
| aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( ~ aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ~ sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ! [W3] :
( sdtasdt0(W1,W3) != sdtpldt0(W2,smndt0(W0))
| ~ aInteger0(W3) ) ) ) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [W0,W2,W3] :
( ( skolemFOFtoCNF_W1_7(W0) != sz00
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| aInteger0(skolemFOFtoCNF_W1_7(W0)) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| aSet0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0))) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)))
| sdtasdt0(skolemFOFtoCNF_W1_7(W0),skolemFOFtoCNF_W3_7(W0,W2)) = sdtpldt0(W2,smndt0(W0)) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)))
| aDivisorOf0(skolemFOFtoCNF_W1_7(W0),sdtpldt0(W2,smndt0(W0))) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)))
| aElementOf0(W2,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)))
| aInteger0(W2) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)))
| aInteger0(skolemFOFtoCNF_W3_7(W0,W2)) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)))
| sdteqdtlpzmzozddtrp0(W2,W0,skolemFOFtoCNF_W1_7(W0)) )
& ( ~ aDivisorOf0(skolemFOFtoCNF_W1_7(W0),sdtpldt0(W2,smndt0(W0)))
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(W2)
| aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0))) )
& ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(W2)
| ~ sdteqdtlpzmzozddtrp0(W2,W0,skolemFOFtoCNF_W1_7(W0))
| aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0))) )
& ( sdtasdt0(skolemFOFtoCNF_W1_7(W0),W3) != sdtpldt0(W2,smndt0(W0))
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(W2)
| ~ aInteger0(W3)
| aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0))) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),stldt0(sbsmnsldt0(xS))) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [W0] :
( ~ aInteger0(W0)
| W0 = sz00
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS)))
& aSet0(sbsmnsldt0(xS))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,W0))
& ? [W1] :
( ~ aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
& aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0)) )
& ! [W1] :
( ~ aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ( aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
& aInteger0(W1)
& sdteqdtlpzmzozddtrp0(W1,sz10,W0)
& ? [W2] :
( sdtasdt0(W0,W2) = sdtpldt0(W1,smndt0(sz10))
& aInteger0(W2) ) ) )
& ! [W1] :
( ~ aInteger0(W1)
| aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ( ~ aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(W1,sz10,W0)
& ! [W2] :
( sdtasdt0(W0,W2) != sdtpldt0(W1,smndt0(sz10))
| ~ aInteger0(W2) ) ) )
& ! [W1] :
( ~ aElementOf0(W1,sbsmnsldt0(xS))
<=> ( ~ aInteger0(W1)
| ! [W2] :
( ~ aElementOf0(W1,W2)
| ~ aElementOf0(W2,xS) ) ) )
& ! [W1] :
( ~ aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aInteger0(W1)
| aElementOf0(W1,sbsmnsldt0(xS)) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_18,plain,
! [W0] :
( ~ aInteger0(W0)
| W0 = sz00
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,W0))
& ? [W1] :
( ~ aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
& aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0)) )
& ! [W1] :
( ~ aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ( aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
& aInteger0(W1)
& sdteqdtlpzmzozddtrp0(W1,sz10,W0)
& ? [W2] :
( sdtasdt0(W0,W2) = sdtpldt0(W1,smndt0(sz10))
& aInteger0(W2) ) ) )
& ! [W1] :
( ~ aInteger0(W1)
| aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ( ~ aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(W1,sz10,W0)
& ! [W2] :
( sdtasdt0(W0,W2) != sdtpldt0(W1,smndt0(sz10))
| ~ aInteger0(W2) ) ) )
& ! [W1] :
( ~ aElementOf0(W1,sbsmnsldt0(xS))
<=> ( ~ aInteger0(W1)
| ! [W2] :
( ~ aElementOf0(W1,W2)
| ~ aElementOf0(W2,xS) ) ) )
& ! [W1] :
( ~ aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aInteger0(W1)
| aElementOf0(W1,sbsmnsldt0(xS)) ) ) ) ),
inference(simplify,[],[normalize_0_17,normalize_0_7]) ).
fof(normalize_0_19,plain,
! [W0] :
( ~ aInteger0(W0)
| W0 = sz00
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,W0))
& ? [W1] :
( ~ aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
& aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0)) )
& ! [W1] :
( ~ aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ( aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
& aInteger0(W1)
& sdteqdtlpzmzozddtrp0(W1,sz10,W0)
& ? [W2] :
( sdtasdt0(W0,W2) = sdtpldt0(W1,smndt0(sz10))
& aInteger0(W2) ) ) )
& ! [W1] :
( ~ aInteger0(W1)
| aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ( ~ aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(W1,sz10,W0)
& ! [W2] :
( sdtasdt0(W0,W2) != sdtpldt0(W1,smndt0(sz10))
| ~ aInteger0(W2) ) ) )
& ! [W1] :
( ~ aElementOf0(W1,sbsmnsldt0(xS))
<=> ( ~ aInteger0(W1)
| ! [W2] :
( ~ aElementOf0(W1,W2)
| ~ aElementOf0(W2,xS) ) ) )
& ! [W1] :
( ~ aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aInteger0(W1)
| aElementOf0(W1,sbsmnsldt0(xS)) ) ) ) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [W0,W1,W2] :
( ( ~ aElementOf0(skolemFOFtoCNF_W1_8(W0),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(W0)
| W0 = sz00 )
& ( ~ aInteger0(W0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS)))
| W0 = sz00 )
& ( ~ aInteger0(W0)
| W0 = sz00
| aElementOf0(skolemFOFtoCNF_W1_8(W0),szAzrzSzezqlpdtcmdtrp0(sz10,W0)) )
& ( ~ aInteger0(W0)
| W0 = sz00
| aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,W0)) )
& ( ~ aElementOf0(W1,sbsmnsldt0(xS))
| ~ aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(W0)
| W0 = sz00 )
& ( ~ aElementOf0(W1,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| W0 = sz00
| aElementOf0(W1,skolemFOFtoCNF_W2_5(W1)) )
& ( ~ aElementOf0(W1,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| W0 = sz00
| aElementOf0(skolemFOFtoCNF_W2_5(W1),xS) )
& ( ~ aElementOf0(W1,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| W0 = sz00
| aInteger0(W1) )
& ( ~ aElementOf0(W1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(W0)
| W0 = sz00
| aInteger0(W1) )
& ( ~ aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ~ aInteger0(W0)
| W0 = sz00
| sdtasdt0(W0,skolemFOFtoCNF_W2_6(W0,W1)) = sdtpldt0(W1,smndt0(sz10)) )
& ( ~ aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ~ aInteger0(W0)
| W0 = sz00
| aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10))) )
& ( ~ aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ~ aInteger0(W0)
| W0 = sz00
| aInteger0(W1) )
& ( ~ aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ~ aInteger0(W0)
| W0 = sz00
| aInteger0(skolemFOFtoCNF_W2_6(W0,W1)) )
& ( ~ aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0))
| ~ aInteger0(W0)
| W0 = sz00
| sdteqdtlpzmzozddtrp0(W1,sz10,W0) )
& ( ~ aDivisorOf0(W0,sdtpldt0(W1,smndt0(sz10)))
| ~ aInteger0(W0)
| ~ aInteger0(W1)
| W0 = sz00
| aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0)) )
& ( ~ aInteger0(W0)
| ~ aInteger0(W1)
| ~ sdteqdtlpzmzozddtrp0(W1,sz10,W0)
| W0 = sz00
| aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0)) )
& ( ~ aInteger0(W0)
| ~ aInteger0(W1)
| W0 = sz00
| aElementOf0(W1,sbsmnsldt0(xS))
| aElementOf0(W1,stldt0(sbsmnsldt0(xS))) )
& ( sdtasdt0(W0,W2) != sdtpldt0(W1,smndt0(sz10))
| ~ aInteger0(W0)
| ~ aInteger0(W1)
| ~ aInteger0(W2)
| W0 = sz00
| aElementOf0(W1,szAzrzSzezqlpdtcmdtrp0(sz10,W0)) )
& ( ~ aElementOf0(W1,W2)
| ~ aElementOf0(W2,xS)
| ~ aInteger0(W0)
| ~ aInteger0(W1)
| W0 = sz00
| aElementOf0(W1,sbsmnsldt0(xS)) ) ),
inference(clausify,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [W0] :
( ~ aInteger0(W0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS)))
| W0 = sz00 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| aInteger0(skolemFOFtoCNF_W1_7(W0)) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_23,plain,
! [W0] :
( skolemFOFtoCNF_W1_7(W0) != sz00
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),
inference(conjunct,[],[normalize_0_15]) ).
cnf(refute_0_0,plain,
( W0 != sz10
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( sz10 != sz10
| aElementOf0(sz10,stldt0(sbsmnsldt0(xS))) ),
inference(subst,[],[refute_0_0:[bind(W0,$fot(sz10))]]) ).
cnf(refute_0_2,plain,
sz10 = sz10,
introduced(tautology,[refl,[$fot(sz10)]]) ).
cnf(refute_0_3,plain,
aElementOf0(sz10,stldt0(sbsmnsldt0(xS))),
inference(resolve,[$cnf( $equal(sz10,sz10) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
| ~ aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))
| aElementOf0(sz10,cS2076) ),
introduced(tautology,[equality,[$cnf( aElementOf0(sz10,stldt0(sbsmnsldt0(xS))) ),[1],$fot(cS2076)]]) ).
cnf(refute_0_6,plain,
( ~ aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))
| aElementOf0(sz10,cS2076) ),
inference(resolve,[$cnf( $equal(stldt0(sbsmnsldt0(xS)),cS2076) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
aElementOf0(sz10,cS2076),
inference(resolve,[$cnf( aElementOf0(sz10,stldt0(sbsmnsldt0(xS))) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),stldt0(sbsmnsldt0(xS))) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_9,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
| ~ aElementOf0(W0,cS2076)
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),
introduced(tautology,[equality,[$cnf( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),[1],$fot(cS2076)]]) ).
cnf(refute_0_10,plain,
( ~ aElementOf0(W0,cS2076)
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),
inference(resolve,[$cnf( $equal(stldt0(sbsmnsldt0(xS)),cS2076) )],[refute_0_4,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ aElementOf0(W0,cS2076)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),stldt0(sbsmnsldt0(xS))) ),
inference(resolve,[$cnf( aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )],[refute_0_10,refute_0_8]) ).
cnf(refute_0_12,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),cS2076) ),
introduced(tautology,[equality,[$cnf( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),stldt0(sbsmnsldt0(xS))) ),[1],$fot(cS2076)]]) ).
cnf(refute_0_13,plain,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),cS2076) ),
inference(resolve,[$cnf( $equal(stldt0(sbsmnsldt0(xS)),cS2076) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ aElementOf0(W0,cS2076)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),cS2076) ),
inference(resolve,[$cnf( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,skolemFOFtoCNF_W1_7(W0)),stldt0(sbsmnsldt0(xS))) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ aElementOf0(sz10,cS2076)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,skolemFOFtoCNF_W1_7(sz10)),cS2076) ),
inference(subst,[],[refute_0_14:[bind(W0,$fot(sz10))]]) ).
cnf(refute_0_16,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,skolemFOFtoCNF_W1_7(sz10)),cS2076),
inference(resolve,[$cnf( aElementOf0(sz10,cS2076) )],[refute_0_7,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ aInteger0(W0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS)))
| W0 = sz00 ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_18,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),cS2076)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS))) ),
introduced(tautology,[equality,[$cnf( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS))) ),[1],$fot(cS2076)]]) ).
cnf(refute_0_19,plain,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),cS2076)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS))) ),
inference(resolve,[$cnf( $equal(stldt0(sbsmnsldt0(xS)),cS2076) )],[refute_0_4,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ aInteger0(W0)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),cS2076)
| W0 = sz00 ),
inference(resolve,[$cnf( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,W0),stldt0(sbsmnsldt0(xS))) )],[refute_0_19,refute_0_17]) ).
cnf(refute_0_21,plain,
( ~ aInteger0(skolemFOFtoCNF_W1_7(sz10))
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,skolemFOFtoCNF_W1_7(sz10)),cS2076)
| skolemFOFtoCNF_W1_7(sz10) = sz00 ),
inference(subst,[],[refute_0_20:[bind(W0,$fot(skolemFOFtoCNF_W1_7(sz10)))]]) ).
cnf(refute_0_22,plain,
( ~ aInteger0(skolemFOFtoCNF_W1_7(sz10))
| skolemFOFtoCNF_W1_7(sz10) = sz00 ),
inference(resolve,[$cnf( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,skolemFOFtoCNF_W1_7(sz10)),cS2076) )],[refute_0_16,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| aInteger0(skolemFOFtoCNF_W1_7(W0)) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_24,plain,
( ~ aElementOf0(W0,cS2076)
| aInteger0(skolemFOFtoCNF_W1_7(W0)) ),
inference(resolve,[$cnf( aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )],[refute_0_10,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ aElementOf0(sz10,cS2076)
| aInteger0(skolemFOFtoCNF_W1_7(sz10)) ),
inference(subst,[],[refute_0_24:[bind(W0,$fot(sz10))]]) ).
cnf(refute_0_26,plain,
aInteger0(skolemFOFtoCNF_W1_7(sz10)),
inference(resolve,[$cnf( aElementOf0(sz10,cS2076) )],[refute_0_7,refute_0_25]) ).
cnf(refute_0_27,plain,
skolemFOFtoCNF_W1_7(sz10) = sz00,
inference(resolve,[$cnf( aInteger0(skolemFOFtoCNF_W1_7(sz10)) )],[refute_0_26,refute_0_22]) ).
cnf(refute_0_28,plain,
( skolemFOFtoCNF_W1_7(W0) != sz00
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_29,plain,
( skolemFOFtoCNF_W1_7(W0) != sz00
| ~ aElementOf0(W0,cS2076) ),
inference(resolve,[$cnf( aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )],[refute_0_10,refute_0_28]) ).
cnf(refute_0_30,plain,
( skolemFOFtoCNF_W1_7(sz10) != sz00
| ~ aElementOf0(sz10,cS2076) ),
inference(subst,[],[refute_0_29:[bind(W0,$fot(sz10))]]) ).
cnf(refute_0_31,plain,
skolemFOFtoCNF_W1_7(sz10) != sz00,
inference(resolve,[$cnf( aElementOf0(sz10,cS2076) )],[refute_0_7,refute_0_30]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_W1_7(sz10),sz00) )],[refute_0_27,refute_0_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jul 6 19:36:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 63.05/63.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.05/63.28
% 63.05/63.28 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 63.13/63.30
%------------------------------------------------------------------------------