%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM444+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:12 PM UTC 2026
% Result : Theorem 2.58s 1.29s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 33
% Syntax : Number of formulae : 178 ( 22 unt; 31 def)
% Number of atoms : 1156 ( 96 equ)
% Maximal formula atoms : 92 ( 6 avg)
% Number of connectives : 1441 ( 463 ~; 426 |; 452 &)
% ( 34 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 28 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 242 ( 0 sgn 172 !; 70 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
( aInteger0(xa)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1962) ).
fof(f42,conjecture,
( ! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> ( ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(X0)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X1,X0,xq) ) )
=> ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) )
=> ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
& ( ( aInteger0(X0)
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) ) )
& ( ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
& ( ( aInteger0(X0)
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
=> ( ( ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f43,negated_conjecture,
~ ( ! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> ( ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(X0)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X1,X0,xq) ) )
=> ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) )
=> ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
& ( ( aInteger0(X0)
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) ) )
& ( ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
& ( ( aInteger0(X0)
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
=> ( ( ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [X1] :
( aInteger0(X1)
& X1 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X2,X0,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f50,plain,
~ ( ! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> ( ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
& ( ( aInteger0(X2)
& ( ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(xa)) = sdtasdt0(xq,X4) )
| aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& ( ? [X5] :
( aInteger0(X5)
& sdtpldt0(X1,smndt0(X0)) = sdtasdt0(xq,X5) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X1,X0,xq) ) )
=> ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(xq,X7) = sdtpldt0(X6,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X6,xa,xq) ) )
& ( ( aInteger0(X6)
& ( ? [X8] :
( aInteger0(X8)
& sdtpldt0(X6,smndt0(xa)) = sdtasdt0(xq,X8) )
| aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X6,xa,xq) ) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) )
=> ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X9] :
( ( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X9)
& ? [X10] :
( aInteger0(X10)
& sdtasdt0(xq,X10) = sdtpldt0(X9,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X9,xa,xq) ) )
& ( ( aInteger0(X9)
& ( ? [X11] :
( aInteger0(X11)
& sdtpldt0(X9,smndt0(xa)) = sdtasdt0(xq,X11) )
| aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X9,xa,xq) ) )
=> aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( aSet0(cS1395)
& ! [X12] :
( aElementOf0(X12,cS1395)
<=> aInteger0(X12) ) )
=> ( ! [X13] :
( aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X13,cS1395) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) ) )
& ( ! [X14] :
( ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X14)
& ? [X15] :
( aInteger0(X15)
& sdtasdt0(xq,X15) = sdtpldt0(X14,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X14,xa,xq) ) )
& ( ( aInteger0(X14)
& ( ? [X16] :
( aInteger0(X16)
& sdtpldt0(X14,smndt0(xa)) = sdtasdt0(xq,X16) )
| aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X14,xa,xq) ) )
=> aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
=> ( ( ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X17] :
( aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X17)
& ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ! [X18] :
( aElementOf0(X18,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [X19] :
( aInteger0(X19)
& sz00 != X19
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X18,X19))
& ! [X20] :
( ( aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19))
=> ( aInteger0(X20)
& ? [X21] :
( aInteger0(X21)
& sdtasdt0(X19,X21) = sdtpldt0(X20,smndt0(X18)) )
& aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& sdteqdtlpzmzozddtrp0(X20,X18,X19) ) )
& ( ( aInteger0(X20)
& ( ? [X22] :
( aInteger0(X22)
& sdtpldt0(X20,smndt0(X18)) = sdtasdt0(X19,X22) )
| aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
| sdteqdtlpzmzozddtrp0(X20,X18,X19) ) )
=> aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19)) ) ) )
=> ( ! [X23] :
( aElementOf0(X23,szAzrzSzezqlpdtcmdtrp0(X18,X19))
=> aElementOf0(X23,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X18,X19),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ) ),
inference(rectify,[],[f43]) ).
fof(f104,plain,
( ( ( ? [X13] :
( ~ aElementOf0(X13,cS1395)
& aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X12] :
( aElementOf0(X12,cS1395)
<=> aInteger0(X12) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X9] :
( ( ( aInteger0(X9)
& ? [X10] :
( aInteger0(X10)
& sdtasdt0(xq,X10) = sdtpldt0(X9,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X9,xa,xq) )
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X9)
| ( ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X9,smndt0(xa)) != sdtasdt0(xq,X11) )
& ~ aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X9,xa,xq) ) ) ) )
| ( ? [X18] :
( ! [X19] :
( ~ aInteger0(X19)
| sz00 = X19
| ( ? [X23] :
( ~ aElementOf0(X23,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X23,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X18,X19),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X18,X19))
& ! [X20] :
( ( ( aInteger0(X20)
& ? [X21] :
( aInteger0(X21)
& sdtasdt0(X19,X21) = sdtpldt0(X20,smndt0(X18)) )
& aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& sdteqdtlpzmzozddtrp0(X20,X18,X19) )
| ~ aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& ( aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19))
| ~ aInteger0(X20)
| ( ! [X22] :
( ~ aInteger0(X22)
| sdtpldt0(X20,smndt0(X18)) != sdtasdt0(X19,X22) )
& ~ aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& ~ sdteqdtlpzmzozddtrp0(X20,X18,X19) ) ) ) ) )
& aElementOf0(X18,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X17] :
( aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X17)
& ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X14] :
( ( ( aInteger0(X14)
& ? [X15] :
( aInteger0(X15)
& sdtasdt0(xq,X15) = sdtpldt0(X14,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X14,xa,xq) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X14)
| ( ! [X16] :
( ~ aInteger0(X16)
| sdtpldt0(X14,smndt0(xa)) != sdtasdt0(xq,X16) )
& ~ aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X14,xa,xq) ) ) ) ) )
& ! [X0,X1] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X6] :
( ( ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(xq,X7) = sdtpldt0(X6,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X6,xa,xq) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X6)
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(xa)) != sdtasdt0(xq,X8) )
& ~ aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X6,xa,xq) ) ) )
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X2,xa,xq) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(xa)) != sdtasdt0(xq,X4) )
& ~ aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X2,xa,xq) ) ) ) )
| ( ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X1,smndt0(X0)) != sdtasdt0(xq,X5) )
& ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(X0)))
& ~ sdteqdtlpzmzozddtrp0(X1,X0,xq) )
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f105,plain,
( ( ( ? [X13] :
( ~ aElementOf0(X13,cS1395)
& aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X12] :
( aElementOf0(X12,cS1395)
<=> aInteger0(X12) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X9] :
( ( ( aInteger0(X9)
& ? [X10] :
( aInteger0(X10)
& sdtasdt0(xq,X10) = sdtpldt0(X9,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X9,xa,xq) )
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X9)
| ( ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X9,smndt0(xa)) != sdtasdt0(xq,X11) )
& ~ aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X9,xa,xq) ) ) ) )
| ( ? [X18] :
( ! [X19] :
( ~ aInteger0(X19)
| sz00 = X19
| ( ? [X23] :
( ~ aElementOf0(X23,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X23,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X18,X19),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X18,X19))
& ! [X20] :
( ( ( aInteger0(X20)
& ? [X21] :
( aInteger0(X21)
& sdtasdt0(X19,X21) = sdtpldt0(X20,smndt0(X18)) )
& aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& sdteqdtlpzmzozddtrp0(X20,X18,X19) )
| ~ aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& ( aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19))
| ~ aInteger0(X20)
| ( ! [X22] :
( ~ aInteger0(X22)
| sdtpldt0(X20,smndt0(X18)) != sdtasdt0(X19,X22) )
& ~ aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& ~ sdteqdtlpzmzozddtrp0(X20,X18,X19) ) ) ) ) )
& aElementOf0(X18,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X17] :
( aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X17)
& ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X14] :
( ( ( aInteger0(X14)
& ? [X15] :
( aInteger0(X15)
& sdtasdt0(xq,X15) = sdtpldt0(X14,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X14,xa,xq) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X14)
| ( ! [X16] :
( ~ aInteger0(X16)
| sdtpldt0(X14,smndt0(xa)) != sdtasdt0(xq,X16) )
& ~ aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X14,xa,xq) ) ) ) ) )
& ! [X0,X1] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X6] :
( ( ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(xq,X7) = sdtpldt0(X6,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X6,xa,xq) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X6)
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(xa)) != sdtasdt0(xq,X8) )
& ~ aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X6,xa,xq) ) ) )
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X2,xa,xq) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(xa)) != sdtasdt0(xq,X4) )
& ~ aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X2,xa,xq) ) ) ) )
| ( ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X1,smndt0(X0)) != sdtasdt0(xq,X5) )
& ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(X0)))
& ~ sdteqdtlpzmzozddtrp0(X1,X0,xq) )
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
inference(flattening,[],[f104]) ).
fof(f115,definition,
( ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X2,xa,xq) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(xa)) != sdtasdt0(xq,X4) )
& ~ aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X2,xa,xq) ) ) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f116,definition,
( ! [X6] :
( ( ( aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtasdt0(xq,X7) = sdtpldt0(X6,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X6,xa,xq) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X6)
| ( ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(xa)) != sdtasdt0(xq,X8) )
& ~ aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X6,xa,xq) ) ) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f117,definition,
! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP6 )
| ~ sP8(X0) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f118,definition,
! [X1] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP7
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP9(X1) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f119,definition,
! [X18,X19] :
( ! [X20] :
( ( ( aInteger0(X20)
& ? [X21] :
( aInteger0(X21)
& sdtasdt0(X19,X21) = sdtpldt0(X20,smndt0(X18)) )
& aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& sdteqdtlpzmzozddtrp0(X20,X18,X19) )
| ~ aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& ( aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19))
| ~ aInteger0(X20)
| ( ! [X22] :
( ~ aInteger0(X22)
| sdtpldt0(X20,smndt0(X18)) != sdtasdt0(X19,X22) )
& ~ aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& ~ sdteqdtlpzmzozddtrp0(X20,X18,X19) ) ) )
| ~ sP10(X18,X19) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f120,definition,
( ! [X14] :
( ( ( aInteger0(X14)
& ? [X15] :
( aInteger0(X15)
& sdtasdt0(xq,X15) = sdtpldt0(X14,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X14,xa,xq) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X14)
| ( ! [X16] :
( ~ aInteger0(X16)
| sdtpldt0(X14,smndt0(xa)) != sdtasdt0(xq,X16) )
& ~ aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X14,xa,xq) ) ) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f121,definition,
( ? [X18] :
( ! [X19] :
( ~ aInteger0(X19)
| sz00 = X19
| ( ? [X23] :
( ~ aElementOf0(X23,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X23,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X18,X19),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X18,X19))
& sP10(X18,X19) ) )
& aElementOf0(X18,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f122,definition,
( ! [X9] :
( ( ( aInteger0(X9)
& ? [X10] :
( aInteger0(X10)
& sdtasdt0(xq,X10) = sdtpldt0(X9,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X9,xa,xq) )
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X9)
| ( ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X9,smndt0(xa)) != sdtasdt0(xq,X11) )
& ~ aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X9,xa,xq) ) ) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f123,definition,
( ( sP12
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X17] :
( aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X17)
& ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP11 )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f124,plain,
( ( ( ? [X13] :
( ~ aElementOf0(X13,cS1395)
& aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X12] :
( aElementOf0(X12,cS1395)
<=> aInteger0(X12) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP13 )
| sP14 )
& ! [X0,X1] :
( sP9(X1)
| sP8(X0)
| ( ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X1,smndt0(X0)) != sdtasdt0(xq,X5) )
& ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(X0)))
& ~ sdteqdtlpzmzozddtrp0(X1,X0,xq) )
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
inference(definition_folding,[],[f105,f123,f122,f121,f120,f119,f118,f117,f116,f115]) ).
fof(f170,plain,
( ( sP12
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X17] :
( ( aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X17)
| aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ( aInteger0(X17)
& ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP11 )
| ~ sP14 ),
inference(nnf_transformation,[],[f123]) ).
fof(f171,plain,
( ( sP12
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X17] :
( ( aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X17)
| aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ( aInteger0(X17)
& ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP11 )
| ~ sP14 ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
( ( sP12
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X0] :
( ( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ( aInteger0(X0)
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP11 )
| ~ sP14 ),
inference(rectify,[],[f171]) ).
fof(f173,plain,
( ! [X9] :
( ( ( aInteger0(X9)
& ? [X10] :
( aInteger0(X10)
& sdtasdt0(xq,X10) = sdtpldt0(X9,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X9,xa,xq) )
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X9)
| ( ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X9,smndt0(xa)) != sdtasdt0(xq,X11) )
& ~ aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X9,xa,xq) ) ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f122]) ).
fof(f174,plain,
( ! [X0] :
( ( ( aInteger0(X0)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(xq,X2) != sdtpldt0(X0,smndt0(xa)) )
& ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) ) ) )
| ~ sP13 ),
inference(rectify,[],[f173]) ).
fof(f175,plain,
( ! [X0] :
( ( ( aInteger0(X0)
& aInteger0(sK29(X0))
& sdtpldt0(X0,smndt0(xa)) = sdtasdt0(xq,sK29(X0))
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X0,xa,xq) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0)
| ( ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(xq,X2) != sdtpldt0(X0,smndt0(xa)) )
& ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) ) ) )
| ~ sP13 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X1,sK29(X0))],[f174]) ).
fof(f176,plain,
( ? [X18] :
( ! [X19] :
( ~ aInteger0(X19)
| sz00 = X19
| ( ? [X23] :
( ~ aElementOf0(X23,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X23,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X18,X19),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X18,X19))
& sP10(X18,X19) ) )
& aElementOf0(X18,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP12 ),
inference(nnf_transformation,[],[f121]) ).
fof(f177,plain,
( ? [X0] :
( ! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| ( ? [X2] :
( ~ aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sP10(X0,X1) ) )
& aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP12 ),
inference(rectify,[],[f176]) ).
fof(f178,plain,
( ( ! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| ( ~ aElementOf0(sK31(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(sK31(X1),szAzrzSzezqlpdtcmdtrp0(sK30,X1))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK30,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK30,X1))
& sP10(sK30,X1) ) )
& aElementOf0(sK30,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP12 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31]),skolemize(X0,sK30),skolemize(X2,sK31(X1))],[f177]) ).
fof(f182,plain,
! [X18,X19] :
( ! [X20] :
( ( ( aInteger0(X20)
& ? [X21] :
( aInteger0(X21)
& sdtasdt0(X19,X21) = sdtpldt0(X20,smndt0(X18)) )
& aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& sdteqdtlpzmzozddtrp0(X20,X18,X19) )
| ~ aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& ( aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19))
| ~ aInteger0(X20)
| ( ! [X22] :
( ~ aInteger0(X22)
| sdtpldt0(X20,smndt0(X18)) != sdtasdt0(X19,X22) )
& ~ aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& ~ sdteqdtlpzmzozddtrp0(X20,X18,X19) ) ) )
| ~ sP10(X18,X19) ),
inference(nnf_transformation,[],[f119]) ).
fof(f183,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(X0)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ~ sdteqdtlpzmzozddtrp0(X2,X0,X1) ) ) )
| ~ sP10(X0,X1) ),
inference(rectify,[],[f182]) ).
fof(f184,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aInteger0(X2)
& aInteger0(sK33(X0,X1,X2))
& sdtpldt0(X2,smndt0(X0)) = sdtasdt0(X1,sK33(X0,X1,X2))
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& sdteqdtlpzmzozddtrp0(X2,X0,X1) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtpldt0(X2,smndt0(X0)) != sdtasdt0(X1,X4) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ~ sdteqdtlpzmzozddtrp0(X2,X0,X1) ) ) )
| ~ sP10(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X3,sK33(X0,X1,X2))],[f183]) ).
fof(f185,plain,
! [X1] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP7
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP9(X1) ),
inference(nnf_transformation,[],[f118]) ).
fof(f186,plain,
! [X0] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP7
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP9(X0) ),
inference(rectify,[],[f185]) ).
fof(f187,plain,
! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP6 )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f194,plain,
( ( ( ? [X13] :
( ~ aElementOf0(X13,cS1395)
& aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X12] :
( ( aElementOf0(X12,cS1395)
| ~ aInteger0(X12) )
& ( aInteger0(X12)
| ~ aElementOf0(X12,cS1395) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP13 )
| sP14 )
& ! [X0,X1] :
( sP9(X1)
| sP8(X0)
| ( ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X1,smndt0(X0)) != sdtasdt0(xq,X5) )
& ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(X0)))
& ~ sdteqdtlpzmzozddtrp0(X1,X0,xq) )
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
inference(nnf_transformation,[],[f124]) ).
fof(f195,plain,
( ( ( ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP13 )
| sP14 )
& ! [X2,X3] :
( sP9(X3)
| sP8(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtasdt0(xq,X4) != sdtpldt0(X3,smndt0(X2)) )
& ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(X2)))
& ~ sdteqdtlpzmzozddtrp0(X3,X2,xq) )
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
inference(rectify,[],[f194]) ).
fof(f196,plain,
( ( ( ~ aElementOf0(sK36,cS1395)
& aElementOf0(sK36,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& aSet0(cS1395)
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP13 )
| sP14 )
& ! [X2,X3] :
( sP9(X3)
| sP8(X2)
| ( ! [X4] :
( ~ aInteger0(X4)
| sdtasdt0(xq,X4) != sdtpldt0(X3,smndt0(X2)) )
& ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(X2)))
& ~ sdteqdtlpzmzozddtrp0(X3,X2,xq) )
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X0,sK36)],[f195]) ).
fof(f301,plain,
sz00 != xq,
inference(cnf_transformation,[],[f41]) ).
fof(f302,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f41]) ).
fof(f307,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ sP14 ),
inference(cnf_transformation,[],[f172]) ).
fof(f308,plain,
! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP14 ),
inference(cnf_transformation,[],[f172]) ).
fof(f311,plain,
( sP12
| ~ sP14 ),
inference(cnf_transformation,[],[f172]) ).
fof(f319,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP13 ),
inference(cnf_transformation,[],[f175]) ).
fof(f320,plain,
( aElementOf0(sK30,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ sP12 ),
inference(cnf_transformation,[],[f178]) ).
fof(f321,plain,
! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| sP10(sK30,X1)
| ~ sP12 ),
inference(cnf_transformation,[],[f178]) ).
fof(f324,plain,
! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| aElementOf0(sK31(X1),szAzrzSzezqlpdtcmdtrp0(sK30,X1))
| ~ sP12 ),
inference(cnf_transformation,[],[f178]) ).
fof(f325,plain,
! [X1] :
( ~ aInteger0(X1)
| sz00 = X1
| ~ aElementOf0(sK31(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ sP12 ),
inference(cnf_transformation,[],[f178]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sdteqdtlpzmzozddtrp0(X2,X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aInteger0(X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f343,plain,
! [X0] :
( ~ sP9(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f348,plain,
! [X0] :
( ~ sP8(X0)
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(cnf_transformation,[],[f187]) ).
fof(f366,plain,
! [X2,X3] :
( sP9(X3)
| sP8(X2)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,xq)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f369,plain,
( sP13
| sP14 ),
inference(cnf_transformation,[],[f196]) ).
fof(f372,plain,
! [X1] :
( aElementOf0(X1,cS1395)
| ~ aInteger0(X1)
| sP14 ),
inference(cnf_transformation,[],[f196]) ).
fof(f375,plain,
( aElementOf0(sK36,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP14 ),
inference(cnf_transformation,[],[f196]) ).
fof(f376,plain,
( ~ aElementOf0(sK36,cS1395)
| sP14 ),
inference(cnf_transformation,[],[f196]) ).
fof(f392,definition,
! [X0,X1] :
( sQ37_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ37_eqProxy])],[equality_proxy_definition]) ).
fof(f436,plain,
~ sQ37_eqProxy(sz00,xq),
inference(equality_proxy_replacement,[],[f301,f392]) ).
fof(f439,plain,
! [X1] :
( ~ aInteger0(X1)
| sQ37_eqProxy(sz00,X1)
| ~ aElementOf0(sK31(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ sP12 ),
inference(equality_proxy_replacement,[],[f325,f392]) ).
fof(f440,plain,
! [X1] :
( ~ aInteger0(X1)
| sQ37_eqProxy(sz00,X1)
| aElementOf0(sK31(X1),szAzrzSzezqlpdtcmdtrp0(sK30,X1))
| ~ sP12 ),
inference(equality_proxy_replacement,[],[f324,f392]) ).
fof(f443,plain,
! [X1] :
( ~ aInteger0(X1)
| sQ37_eqProxy(sz00,X1)
| sP10(sK30,X1)
| ~ sP12 ),
inference(equality_proxy_replacement,[],[f321,f392]) ).
fof(f456,definition,
( spl38_1
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl38_1])],[avatar_definition]) ).
fof(f459,definition,
( spl38_2
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl38_2])],[avatar_definition]) ).
fof(f461,plain,
( spl38_1
| spl38_2 ),
inference(avatar_split_clause,[],[f369,f459,f456]) ).
fof(f471,definition,
( spl38_5
<=> ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl38_5])],[avatar_definition]) ).
fof(f472,plain,
( ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
| ~ spl38_5 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( spl38_1
| spl38_5 ),
inference(avatar_split_clause,[],[f372,f471,f456]) ).
fof(f483,definition,
( spl38_8
<=> aElementOf0(sK36,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
introduced(definition,[new_symbols(definition,[spl38_8])],[avatar_definition]) ).
fof(f484,plain,
( aElementOf0(sK36,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ spl38_8 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f485,plain,
( spl38_1
| spl38_8 ),
inference(avatar_split_clause,[],[f375,f483,f456]) ).
fof(f487,definition,
( spl38_9
<=> aElementOf0(sK36,cS1395) ),
introduced(definition,[new_symbols(definition,[spl38_9])],[avatar_definition]) ).
fof(f488,plain,
( ~ aElementOf0(sK36,cS1395)
| spl38_9 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f489,plain,
( spl38_1
| ~ spl38_9 ),
inference(avatar_split_clause,[],[f376,f487,f456]) ).
fof(f522,definition,
( spl38_18
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[spl38_18])],[avatar_definition]) ).
fof(f523,plain,
( ! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(X0) )
| ~ spl38_18 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f572,definition,
( spl38_27
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl38_27])],[avatar_definition]) ).
fof(f575,definition,
( spl38_28
<=> aElementOf0(sK30,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
introduced(definition,[new_symbols(definition,[spl38_28])],[avatar_definition]) ).
fof(f576,plain,
( aElementOf0(sK30,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ spl38_28 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f577,plain,
( ~ spl38_27
| spl38_28 ),
inference(avatar_split_clause,[],[f320,f575,f572]) ).
fof(f579,definition,
( spl38_29
<=> ! [X1] :
( ~ aInteger0(X1)
| sP10(sK30,X1)
| sQ37_eqProxy(sz00,X1) ) ),
introduced(definition,[new_symbols(definition,[spl38_29])],[avatar_definition]) ).
fof(f580,plain,
( ! [X1] :
( sQ37_eqProxy(sz00,X1)
| sP10(sK30,X1)
| ~ aInteger0(X1) )
| ~ spl38_29 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( ~ spl38_27
| spl38_29 ),
inference(avatar_split_clause,[],[f443,f579,f572]) ).
fof(f591,definition,
( spl38_32
<=> ! [X1] :
( ~ aInteger0(X1)
| aElementOf0(sK31(X1),szAzrzSzezqlpdtcmdtrp0(sK30,X1))
| sQ37_eqProxy(sz00,X1) ) ),
introduced(definition,[new_symbols(definition,[spl38_32])],[avatar_definition]) ).
fof(f592,plain,
( ! [X1] :
( sQ37_eqProxy(sz00,X1)
| aElementOf0(sK31(X1),szAzrzSzezqlpdtcmdtrp0(sK30,X1))
| ~ aInteger0(X1) )
| ~ spl38_32 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f593,plain,
( ~ spl38_27
| spl38_32 ),
inference(avatar_split_clause,[],[f440,f591,f572]) ).
fof(f595,definition,
( spl38_33
<=> ! [X1] :
( ~ aInteger0(X1)
| ~ aElementOf0(sK31(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sQ37_eqProxy(sz00,X1) ) ),
introduced(definition,[new_symbols(definition,[spl38_33])],[avatar_definition]) ).
fof(f596,plain,
( ! [X1] :
( sQ37_eqProxy(sz00,X1)
| ~ aElementOf0(sK31(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X1) )
| ~ spl38_33 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f597,plain,
( ~ spl38_27
| spl38_33 ),
inference(avatar_split_clause,[],[f439,f595,f572]) ).
fof(f612,plain,
( ~ spl38_2
| spl38_18 ),
inference(avatar_split_clause,[],[f319,f522,f459]) ).
fof(f625,definition,
( spl38_38
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[spl38_38])],[avatar_definition]) ).
fof(f626,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aInteger0(X0) )
| ~ spl38_38 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f627,plain,
( ~ spl38_1
| spl38_38 ),
inference(avatar_split_clause,[],[f307,f625,f456]) ).
fof(f629,definition,
( spl38_39
<=> ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl38_39])],[avatar_definition]) ).
fof(f630,plain,
( ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0) )
| ~ spl38_39 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f631,plain,
( ~ spl38_1
| spl38_39 ),
inference(avatar_split_clause,[],[f308,f629,f456]) ).
fof(f641,plain,
( ~ spl38_1
| spl38_27 ),
inference(avatar_split_clause,[],[f311,f572,f456]) ).
fof(f656,plain,
( ~ aInteger0(sK36)
| ~ spl38_5
| spl38_9 ),
inference(resolution,[],[f472,f488]) ).
fof(f658,plain,
( aInteger0(sK36)
| ~ spl38_8
| ~ spl38_18 ),
inference(resolution,[],[f523,f484]) ).
fof(f660,plain,
( $false
| ~ spl38_5
| ~ spl38_8
| spl38_9
| ~ spl38_18 ),
inference(resolution,[],[f658,f656]) ).
fof(f661,plain,
( ~ spl38_5
| ~ spl38_8
| spl38_9
| ~ spl38_18 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f665,plain,
( aInteger0(sK30)
| ~ spl38_28
| ~ spl38_38 ),
inference(resolution,[],[f626,f576]) ).
fof(f674,plain,
( ~ aElementOf0(sK31(xq),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(xq)
| ~ spl38_33 ),
inference(resolution,[],[f436,f596]) ).
fof(f675,plain,
( aElementOf0(sK31(xq),szAzrzSzezqlpdtcmdtrp0(sK30,xq))
| ~ aInteger0(xq)
| ~ spl38_32 ),
inference(resolution,[],[f436,f592]) ).
fof(f677,plain,
( sP10(sK30,xq)
| ~ aInteger0(xq)
| ~ spl38_29 ),
inference(resolution,[],[f436,f580]) ).
fof(f679,definition,
( spl38_46
<=> aInteger0(xq) ),
introduced(definition,[new_symbols(definition,[spl38_46])],[avatar_definition]) ).
fof(f680,plain,
( ~ aInteger0(xq)
| spl38_46 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f682,definition,
( spl38_47
<=> sP10(sK30,xq) ),
introduced(definition,[new_symbols(definition,[spl38_47])],[avatar_definition]) ).
fof(f683,plain,
( sP10(sK30,xq)
| ~ spl38_47 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f684,plain,
( ~ spl38_46
| spl38_47
| ~ spl38_29 ),
inference(avatar_split_clause,[],[f677,f579,f682,f679]) ).
fof(f690,definition,
( spl38_49
<=> aElementOf0(sK31(xq),szAzrzSzezqlpdtcmdtrp0(sK30,xq)) ),
introduced(definition,[new_symbols(definition,[spl38_49])],[avatar_definition]) ).
fof(f691,plain,
( aElementOf0(sK31(xq),szAzrzSzezqlpdtcmdtrp0(sK30,xq))
| ~ spl38_49 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f692,plain,
( ~ spl38_46
| spl38_49
| ~ spl38_32 ),
inference(avatar_split_clause,[],[f675,f591,f690,f679]) ).
fof(f694,definition,
( spl38_50
<=> aElementOf0(sK31(xq),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
introduced(definition,[new_symbols(definition,[spl38_50])],[avatar_definition]) ).
fof(f695,plain,
( ~ aElementOf0(sK31(xq),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| spl38_50 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f696,plain,
( ~ spl38_46
| ~ spl38_50
| ~ spl38_33 ),
inference(avatar_split_clause,[],[f674,f595,f694,f679]) ).
fof(f701,plain,
( $false
| spl38_46 ),
inference(resolution,[],[f680,f302]) ).
fof(f702,plain,
spl38_46,
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f703,plain,
( aElementOf0(sK31(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(sK31(xq))
| ~ spl38_39
| spl38_50 ),
inference(resolution,[],[f695,f630]) ).
fof(f705,definition,
( spl38_52
<=> aInteger0(sK31(xq)) ),
introduced(definition,[new_symbols(definition,[spl38_52])],[avatar_definition]) ).
fof(f706,plain,
( ~ aInteger0(sK31(xq))
| spl38_52 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f708,definition,
( spl38_53
<=> aElementOf0(sK31(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
introduced(definition,[new_symbols(definition,[spl38_53])],[avatar_definition]) ).
fof(f710,plain,
( ~ spl38_52
| spl38_53
| ~ spl38_39
| spl38_50 ),
inference(avatar_split_clause,[],[f703,f694,f629,f708,f705]) ).
fof(f756,plain,
! [X0,X1] :
( sP8(X1)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[],[f343,f366]) ).
fof(f811,plain,
! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X1,X0,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(resolution,[],[f348,f756]) ).
fof(f861,plain,
( ! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sK30,xq))
| aInteger0(X0) )
| ~ spl38_47 ),
inference(resolution,[],[f341,f683]) ).
fof(f862,plain,
( aInteger0(sK31(xq))
| ~ spl38_47
| ~ spl38_49 ),
inference(resolution,[],[f861,f691]) ).
fof(f863,plain,
( $false
| ~ spl38_47
| ~ spl38_49
| spl38_52 ),
inference(resolution,[],[f862,f706]) ).
fof(f864,plain,
( ~ spl38_47
| ~ spl38_49
| spl38_52 ),
inference(avatar_contradiction_clause,[],[f863]) ).
fof(f997,plain,
( ! [X0] :
( sdteqdtlpzmzozddtrp0(X0,sK30,xq)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sK30,xq)) )
| ~ spl38_47 ),
inference(resolution,[],[f337,f683]) ).
fof(f1000,plain,
( ! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sK30,xq))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(sK30,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(sK30)
| ~ aInteger0(X0) )
| ~ spl38_47 ),
inference(resolution,[],[f997,f811]) ).
fof(f1003,definition,
( spl38_87
<=> aInteger0(sK30) ),
introduced(definition,[new_symbols(definition,[spl38_87])],[avatar_definition]) ).
fof(f1004,plain,
( ~ aInteger0(sK30)
| spl38_87 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1009,definition,
( spl38_89
<=> ! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sK30,xq))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[spl38_89])],[avatar_definition]) ).
fof(f1010,plain,
( ! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sK30,xq))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ spl38_89 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1013,plain,
( ~ spl38_87
| ~ spl38_28
| spl38_89
| ~ spl38_47 ),
inference(avatar_split_clause,[],[f1000,f682,f1009,f575,f1003]) ).
fof(f1019,plain,
( $false
| ~ spl38_28
| ~ spl38_38
| spl38_87 ),
inference(resolution,[],[f1004,f665]) ).
fof(f1020,plain,
( ~ spl38_28
| ~ spl38_38
| spl38_87 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1022,plain,
( ~ aInteger0(sK31(xq))
| ~ aElementOf0(sK31(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ spl38_49
| ~ spl38_89 ),
inference(resolution,[],[f1010,f691]) ).
fof(f1024,plain,
( ~ spl38_53
| ~ spl38_52
| ~ spl38_49
| ~ spl38_89 ),
inference(avatar_split_clause,[],[f1022,f1009,f690,f705,f708]) ).
cnf(s1,plain,
( spl38_1
| spl38_2 ),
inference(sat_conversion,[],[f461]) ).
cnf(s4,plain,
( spl38_1
| spl38_5 ),
inference(sat_conversion,[],[f473]) ).
cnf(s7,plain,
( spl38_1
| spl38_8 ),
inference(sat_conversion,[],[f485]) ).
cnf(s8,plain,
( spl38_1
| ~ spl38_9 ),
inference(sat_conversion,[],[f489]) ).
cnf(s37,plain,
( ~ spl38_27
| spl38_28 ),
inference(sat_conversion,[],[f577]) ).
cnf(s38,plain,
( ~ spl38_27
| spl38_29 ),
inference(sat_conversion,[],[f581]) ).
cnf(s41,plain,
( ~ spl38_27
| spl38_32 ),
inference(sat_conversion,[],[f593]) ).
cnf(s42,plain,
( ~ spl38_27
| spl38_33 ),
inference(sat_conversion,[],[f597]) ).
cnf(s50,plain,
( ~ spl38_2
| spl38_18 ),
inference(sat_conversion,[],[f612]) ).
cnf(s54,plain,
( ~ spl38_1
| spl38_38 ),
inference(sat_conversion,[],[f627]) ).
cnf(s55,plain,
( ~ spl38_1
| spl38_39 ),
inference(sat_conversion,[],[f631]) ).
cnf(s58,plain,
( ~ spl38_1
| spl38_27 ),
inference(sat_conversion,[],[f641]) ).
cnf(s61,plain,
( ~ spl38_5
| ~ spl38_8
| spl38_9
| ~ spl38_18 ),
inference(sat_conversion,[],[f661]) ).
cnf(s63,plain,
( ~ spl38_29
| ~ spl38_46
| spl38_47 ),
inference(sat_conversion,[],[f684]) ).
cnf(s65,plain,
( ~ spl38_32
| ~ spl38_46
| spl38_49 ),
inference(sat_conversion,[],[f692]) ).
cnf(s66,plain,
( ~ spl38_33
| ~ spl38_46
| ~ spl38_50 ),
inference(sat_conversion,[],[f696]) ).
cnf(s68,plain,
spl38_46,
inference(sat_conversion,[],[f702]) ).
cnf(s69,plain,
( ~ spl38_39
| spl38_50
| ~ spl38_52
| spl38_53 ),
inference(sat_conversion,[],[f710]) ).
cnf(s90,plain,
( ~ spl38_47
| ~ spl38_49
| spl38_52 ),
inference(sat_conversion,[],[f864]) ).
cnf(s108,plain,
( ~ spl38_28
| ~ spl38_47
| ~ spl38_87
| spl38_89 ),
inference(sat_conversion,[],[f1013]) ).
cnf(s111,plain,
( ~ spl38_28
| ~ spl38_38
| spl38_87 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s112,plain,
( ~ spl38_49
| ~ spl38_52
| ~ spl38_53
| ~ spl38_89 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s123,plain,
( ~ spl38_33
| ~ spl38_50 ),
inference(rat,[],[s66,s68]) ).
cnf(s124,plain,
( ~ spl38_32
| spl38_49 ),
inference(rat,[],[s65,s68]) ).
cnf(s126,plain,
( ~ spl38_29
| spl38_47 ),
inference(rat,[],[s63,s68]) ).
cnf(s130,plain,
spl38_1,
inference(rat,[],[s50,s61,s1,s4,s7,s8]) ).
cnf(s131,plain,
spl38_27,
inference(rat,[],[s58,s130]) ).
cnf(s134,plain,
spl38_39,
inference(rat,[],[s55,s130]) ).
cnf(s135,plain,
spl38_38,
inference(rat,[],[s54,s130]) ).
cnf(s139,plain,
spl38_33,
inference(rat,[],[s42,s131]) ).
cnf(s140,plain,
spl38_32,
inference(rat,[],[s41,s131]) ).
cnf(s143,plain,
spl38_29,
inference(rat,[],[s38,s131]) ).
cnf(s144,plain,
spl38_28,
inference(rat,[],[s37,s131]) ).
cnf(s153,plain,
~ spl38_50,
inference(rat,[],[s123,s139]) ).
cnf(s154,plain,
spl38_49,
inference(rat,[],[s124,s140]) ).
cnf(s157,plain,
spl38_47,
inference(rat,[],[s126,s143]) ).
cnf(s158,plain,
spl38_87,
inference(rat,[],[s111,s135,s144]) ).
cnf(s162,plain,
spl38_89,
inference(rat,[],[s108,s144,s158,s157]) ).
cnf(s163,plain,
spl38_52,
inference(rat,[],[s90,s154,s157]) ).
cnf(s165,plain,
~ spl38_53,
inference(rat,[],[s112,s162,s154,s163]) ).
cnf(s167,plain,
$false,
inference(rat,[],[s69,s153,s134,s165,s163]) ).
fof(f1027,plain,
$false,
inference(avatar_sat_refutation,[],[s167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM444+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 20:00:07 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.58/1.29 % (3839583)Detected formulas, will run a generic FOF schedule.
% 2.58/1.29 % (3839702)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=216237561:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.58/1.29 % (3839700)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1684143732:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.58/1.29 % (3839706)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=62497183:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.58/1.29 % (3839703)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=778499466:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.58/1.29 % (3839707)dis-21_1_sil=8000:lcm=predicate:random_seed=1285801495:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.58/1.29 % (3839701)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2929565775:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.58/1.29 % (3839704)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=143599879:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.58/1.29 % (3839707)First to succeed.
% 2.58/1.29 % (3839707)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3839583"
% 2.58/1.29 % (3839703)Instruction limit reached!
% 2.58/1.29 % (3839703)------------------------------
% 2.58/1.29 % (3839703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.29 % (3839703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.29 % (3839703)CaDiCaL version: 2.1.3
% 2.58/1.29 % (3839703)Termination reason: Instruction limit
% 2.58/1.29 % (3839703)Termination phase: Saturation
% 2.58/1.29 % (3839703)Time elapsed: 0.064 s
% 2.58/1.29 % (3839703)Peak memory usage: 89 MB
% 2.58/1.29 % (3839703)Instructions burned: 111 (million)
% 2.58/1.29 % (3839704)Also succeeded, but the first one will report.
% 2.58/1.29 % (3839706)Instruction limit reached!
% 2.58/1.29 % (3839706)------------------------------
% 2.58/1.29 % (3839706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.29 % (3839706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.29 % (3839706)CaDiCaL version: 2.1.3
% 2.58/1.29 % (3839706)Termination reason: Instruction limit
% 2.58/1.29 % (3839706)Termination phase: Saturation
% 2.58/1.29 % (3839706)Time elapsed: 0.094 s
% 2.58/1.29 % (3839706)Peak memory usage: 90 MB
% 2.58/1.29 % (3839706)Instructions burned: 140 (million)
% 2.58/1.29 % (3839736)lrs+10_1_sil=8000:sp=occurrence:random_seed=1086662460:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.58/1.29 % (3839754)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2276768385:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.58/1.29 % (3839707)Refutation found. Thanks to Tanya!
% 2.58/1.29 % SZS status Theorem for theBenchmark
% 2.58/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.48 % (3839707)------------------------------
% 3.62/1.48 % (3839707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.48 % (3839707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.48 % (3839707)CaDiCaL version: 2.1.3
% 3.62/1.48 % (3839707)Termination reason: Refutation
% 3.62/1.48 % (3839707)Time elapsed: 0.017 s
% 3.62/1.48 % (3839707)Peak memory usage: 89 MB
% 3.62/1.48 % (3839707)Instructions burned: 25 (million)
% 3.62/1.48 % (3839707)------------------------------
% 3.62/1.48 % (3839707)------------------------------
% 3.62/1.48 % (3839583)Success in time 0.426 s
% 3.62/1.48 % Vampire exiting
%------------------------------------------------------------------------------