TSTP Solution File: NUM437+5 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 : Thu Aug 31 11:30:28 EDT 2023
% Result : Theorem 32.58s 5.25s
% Output : CNFRefutation 32.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 76 ( 3 unt; 0 def)
% Number of atoms : 640 ( 74 equ)
% Maximal formula atoms : 29 ( 8 avg)
% Number of connectives : 811 ( 247 ~; 216 |; 302 &)
% ( 11 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 227 ( 0 sgn; 127 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,axiom,
( ! [X0] :
( aElementOf0(X0,xS)
=> ( isOpen0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,X0) )
& ! [X3] :
( ( ( ( sdteqdtlpzmzozddtrp0(X3,X1,X2)
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| ? [X4] :
( sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1))
& aInteger0(X4) ) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( sdteqdtlpzmzozddtrp0(X3,X1,X2)
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& ? [X4] :
( sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1))
& aInteger0(X4) )
& aInteger0(X3) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& sz00 != X2
& aInteger0(X2) ) )
& aSubsetOf0(X0,cS1395)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,cS1395) )
& aSet0(X0)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1750) ).
fof(f38,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( isOpen0(sbsmnsldt0(xS))
| ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
=> ? [X1] :
( ( ( ! [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)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS))
| ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,sbsmnsldt0(xS)) ) ) )
& sz00 != X1
& aInteger0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f39,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( isOpen0(sbsmnsldt0(xS))
| ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
=> ? [X1] :
( ( ( ! [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)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS))
| ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,sbsmnsldt0(xS)) ) ) )
& sz00 != X1
& aInteger0(X1) ) ) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f46,plain,
( ! [X0] :
( aElementOf0(X0,xS)
=> ( isOpen0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,X0) )
& ! [X4] :
( ( ( ( sdteqdtlpzmzozddtrp0(X4,X1,X2)
| aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
| ? [X5] :
( sdtpldt0(X4,smndt0(X1)) = sdtasdt0(X2,X5)
& aInteger0(X5) ) )
& aInteger0(X4) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( sdteqdtlpzmzozddtrp0(X4,X1,X2)
& aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X1)) = sdtasdt0(X2,X6)
& aInteger0(X6) )
& aInteger0(X4) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& sz00 != X2
& aInteger0(X2) ) )
& aSubsetOf0(X0,cS1395)
& ! [X7] :
( aElementOf0(X7,X0)
=> aElementOf0(X7,cS1395) )
& aSet0(X0)
& ! [X8] :
( aElementOf0(X8,cS1395)
<=> aInteger0(X8) )
& aSet0(cS1395) ) )
& aSet0(xS) ),
inference(rectify,[],[f37]) ).
fof(f47,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( isOpen0(sbsmnsldt0(xS))
| ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
=> ? [X3] :
( ( ( ! [X4] :
( ( ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
| aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
| ? [X5] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X5)
& aInteger0(X5) ) )
& aInteger0(X4) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
| ! [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X7,sbsmnsldt0(xS)) ) ) )
& sz00 != X3
& aInteger0(X3) ) ) ) ),
inference(rectify,[],[f39]) ).
fof(f94,plain,
( ! [X0] :
( ( isOpen0(X0)
& ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X1,X2)
& ~ aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X1)) != sdtasdt0(X2,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X1,X2)
& aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X1)) = sdtasdt0(X2,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,cS1395)
& ! [X7] :
( aElementOf0(X7,cS1395)
| ~ aElementOf0(X7,X0) )
& aSet0(X0)
& ! [X8] :
( aElementOf0(X8,cS1395)
<=> aInteger0(X8) )
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f46]) ).
fof(f95,plain,
( ! [X0] :
( ( isOpen0(X0)
& ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X1,X2)
& ~ aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X1)) != sdtasdt0(X2,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X1,X2)
& aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X1)) = sdtasdt0(X2,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,cS1395)
& ! [X7] :
( aElementOf0(X7,cS1395)
| ~ aElementOf0(X7,X0) )
& aSet0(X0)
& ! [X8] :
( aElementOf0(X8,cS1395)
<=> aInteger0(X8) )
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f97,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f96]) ).
fof(f107,plain,
! [X2,X1] :
( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X1,X2)
& ~ aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X1)) != sdtasdt0(X2,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X1,X2)
& aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X1)) = sdtasdt0(X2,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
| ~ sP6(X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& sP6(X2,X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f109,plain,
( ! [X0] :
( ( isOpen0(X0)
& sP7(X0)
& aSubsetOf0(X0,cS1395)
& ! [X7] :
( aElementOf0(X7,cS1395)
| ~ aElementOf0(X7,X0) )
& aSet0(X0)
& ! [X8] :
( aElementOf0(X8,cS1395)
<=> aInteger0(X8) )
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(definition_folding,[],[f95,f108,f107]) ).
fof(f110,plain,
! [X3,X2] :
( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
| ~ sP8(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f111,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP8(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(definition_folding,[],[f97,f110]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& sP6(X2,X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f168,plain,
! [X0,X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& sP6(X2,X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& sz00 != X2
& aInteger0(X2) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,sK22(X0,X1)),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK22(X0,X1))) )
& sP6(sK22(X0,X1),X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,sK22(X0,X1)))
& sz00 != sK22(X0,X1)
& aInteger0(sK22(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,sK22(X0,X1)),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK22(X0,X1))) )
& sP6(sK22(X0,X1),X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,sK22(X0,X1)))
& sz00 != sK22(X0,X1)
& aInteger0(sK22(X0,X1)) )
| ~ aElementOf0(X1,X0) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f167,f168]) ).
fof(f174,plain,
( ! [X0] :
( ( isOpen0(X0)
& sP7(X0)
& aSubsetOf0(X0,cS1395)
& ! [X7] :
( aElementOf0(X7,cS1395)
| ~ aElementOf0(X7,X0) )
& aSet0(X0)
& ! [X8] :
( ( aElementOf0(X8,cS1395)
| ~ aInteger0(X8) )
& ( aInteger0(X8)
| ~ aElementOf0(X8,cS1395) ) )
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(nnf_transformation,[],[f109]) ).
fof(f175,plain,
( ! [X0] :
( ( isOpen0(X0)
& sP7(X0)
& aSubsetOf0(X0,cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,X0) )
& aSet0(X0)
& ! [X2] :
( ( aElementOf0(X2,cS1395)
| ~ aInteger0(X2) )
& ( aInteger0(X2)
| ~ aElementOf0(X2,cS1395) ) )
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(rectify,[],[f174]) ).
fof(f176,plain,
! [X3,X2] :
( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
| ~ sP8(X3,X2) ),
inference(nnf_transformation,[],[f110]) ).
fof(f177,plain,
! [X0,X1] :
( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ( ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& ! [X3] :
( sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
& aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& ? [X4] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X4)
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f176]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ? [X4] :
( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X4)
& aInteger0(X4) )
=> ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK24(X0,X1,X2))
& aInteger0(sK24(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X0,X1] :
( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ( ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& ! [X3] :
( sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3)
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
& aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK24(X0,X1,X2))
& aInteger0(sK24(X0,X1,X2))
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f177,f178]) ).
fof(f180,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP8(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ aInteger0(X0) )
& ( ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(nnf_transformation,[],[f111]) ).
fof(f181,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP8(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ aInteger0(X0) )
& ( ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X0] :
( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS))
& ? [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP8(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(X0,sbsmnsldt0(xS)) )
& ! [X3] :
( ( aElementOf0(X3,sbsmnsldt0(xS))
| ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,xS) )
| ~ aInteger0(X3) )
& ( ( ? [X5] :
( aElementOf0(X3,X5)
& aElementOf0(X5,xS) )
& aInteger0(X3) )
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f181]) ).
fof(f183,plain,
( ? [X0] :
( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS))
& ? [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP8(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(X0,sbsmnsldt0(xS)) )
=> ( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK25,X1),sbsmnsldt0(xS))
& ? [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK25,X1)) )
& sP8(X1,sK25)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK25,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(sK25,sbsmnsldt0(xS)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK25,X1)) )
=> ( ~ aElementOf0(sK26(X1),sbsmnsldt0(xS))
& aElementOf0(sK26(X1),szAzrzSzezqlpdtcmdtrp0(sK25,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X3] :
( ? [X5] :
( aElementOf0(X3,X5)
& aElementOf0(X5,xS) )
=> ( aElementOf0(X3,sK27(X3))
& aElementOf0(sK27(X3),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK25,X1),sbsmnsldt0(xS))
& ~ aElementOf0(sK26(X1),sbsmnsldt0(xS))
& aElementOf0(sK26(X1),szAzrzSzezqlpdtcmdtrp0(sK25,X1))
& sP8(X1,sK25)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK25,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(sK25,sbsmnsldt0(xS))
& ! [X3] :
( ( aElementOf0(X3,sbsmnsldt0(xS))
| ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,xS) )
| ~ aInteger0(X3) )
& ( ( aElementOf0(X3,sK27(X3))
& aElementOf0(sK27(X3),xS)
& aInteger0(X3) )
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f182,f185,f184,f183]) ).
fof(f287,plain,
! [X0,X1] :
( aInteger0(sK22(X0,X1))
| ~ aElementOf0(X1,X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f288,plain,
! [X0,X1] :
( sz00 != sK22(X0,X1)
| ~ aElementOf0(X1,X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f291,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK22(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f308,plain,
! [X0] :
( sP7(X0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f175]) ).
fof(f310,plain,
! [X2,X0,X1] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f320,plain,
! [X3] :
( aElementOf0(sK27(X3),xS)
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f321,plain,
! [X3] :
( aElementOf0(X3,sK27(X3))
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f322,plain,
! [X3,X4] :
( aElementOf0(X3,sbsmnsldt0(xS))
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,xS)
| ~ aInteger0(X3) ),
inference(cnf_transformation,[],[f186]) ).
fof(f323,plain,
aElementOf0(sK25,sbsmnsldt0(xS)),
inference(cnf_transformation,[],[f186]) ).
fof(f325,plain,
! [X1] :
( sP8(X1,sK25)
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f326,plain,
! [X1] :
( aElementOf0(sK26(X1),szAzrzSzezqlpdtcmdtrp0(sK25,X1))
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f327,plain,
! [X1] :
( ~ aElementOf0(sK26(X1),sbsmnsldt0(xS))
| sz00 = X1
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_150,plain,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,sK22(X2,X1)))
| ~ aElementOf0(X1,X2)
| ~ sP7(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_153,plain,
( sK22(X0,X1) != sz00
| ~ aElementOf0(X1,X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_154,plain,
( ~ aElementOf0(X0,X1)
| ~ sP7(X1)
| aInteger0(sK22(X1,X0)) ),
inference(cnf_transformation,[],[f287]) ).
cnf(c_164,plain,
( ~ aElementOf0(X0,xS)
| sP7(X0) ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_179,plain,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ sP8(X2,X1)
| aInteger0(X0) ),
inference(cnf_transformation,[],[f310]) ).
cnf(c_182,negated_conjecture,
( ~ aElementOf0(sK26(X0),sbsmnsldt0(xS))
| ~ aInteger0(X0)
| X0 = sz00 ),
inference(cnf_transformation,[],[f327]) ).
cnf(c_183,negated_conjecture,
( ~ aInteger0(X0)
| X0 = sz00
| aElementOf0(sK26(X0),szAzrzSzezqlpdtcmdtrp0(sK25,X0)) ),
inference(cnf_transformation,[],[f326]) ).
cnf(c_184,negated_conjecture,
( ~ aInteger0(X0)
| X0 = sz00
| sP8(X0,sK25) ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_186,negated_conjecture,
aElementOf0(sK25,sbsmnsldt0(xS)),
inference(cnf_transformation,[],[f323]) ).
cnf(c_187,negated_conjecture,
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS)
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_188,negated_conjecture,
( ~ aElementOf0(X0,sbsmnsldt0(xS))
| aElementOf0(X0,sK27(X0)) ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_189,negated_conjecture,
( ~ aElementOf0(X0,sbsmnsldt0(xS))
| aElementOf0(sK27(X0),xS) ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_1495,plain,
( sK22(X0,X1) != sz00
| X0 != X2
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X2,xS) ),
inference(resolution_lifted,[status(thm)],[c_164,c_153]) ).
cnf(c_1496,plain,
( sK22(X0,X1) != sz00
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X0,xS) ),
inference(unflattening,[status(thm)],[c_1495]) ).
cnf(c_1507,plain,
( X0 != X1
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X0,xS)
| aInteger0(sK22(X1,X2)) ),
inference(resolution_lifted,[status(thm)],[c_164,c_154]) ).
cnf(c_1508,plain,
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS)
| aInteger0(sK22(X1,X0)) ),
inference(unflattening,[status(thm)],[c_1507]) ).
cnf(c_1555,plain,
( X0 != X1
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,sK22(X1,X3)))
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X0,xS)
| aElementOf0(X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_164,c_150]) ).
cnf(c_1556,plain,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,sK22(X2,X1)))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,xS)
| aElementOf0(X0,X2) ),
inference(unflattening,[status(thm)],[c_1555]) ).
cnf(c_1755,plain,
( X0 != sK25
| X1 != X2
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X2)
| X2 = sz00
| aInteger0(X3) ),
inference(resolution_lifted,[status(thm)],[c_179,c_184]) ).
cnf(c_1756,plain,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sK25,X1))
| ~ aInteger0(X1)
| X1 = sz00
| aInteger0(X0) ),
inference(unflattening,[status(thm)],[c_1755]) ).
cnf(c_11561,plain,
( ~ aElementOf0(sK25,sbsmnsldt0(xS))
| aElementOf0(sK27(sK25),xS) ),
inference(instantiation,[status(thm)],[c_189]) ).
cnf(c_11563,plain,
( ~ aElementOf0(sK25,sbsmnsldt0(xS))
| aElementOf0(sK25,sK27(sK25)) ),
inference(instantiation,[status(thm)],[c_188]) ).
cnf(c_11624,plain,
( sK22(sK27(sK25),X0) != sz00
| ~ aElementOf0(X0,sK27(sK25))
| ~ aElementOf0(sK27(sK25),xS) ),
inference(instantiation,[status(thm)],[c_1496]) ).
cnf(c_11634,plain,
( ~ aElementOf0(X0,sK27(sK25))
| ~ aElementOf0(sK27(sK25),xS)
| aInteger0(sK22(sK27(sK25),X0)) ),
inference(instantiation,[status(thm)],[c_1508]) ).
cnf(c_12142,plain,
( sK22(sK27(sK25),sK25) != sz00
| ~ aElementOf0(sK27(sK25),xS)
| ~ aElementOf0(sK25,sK27(sK25)) ),
inference(instantiation,[status(thm)],[c_11624]) ).
cnf(c_12143,plain,
( ~ aElementOf0(sK27(sK25),xS)
| ~ aElementOf0(sK25,sK27(sK25))
| aInteger0(sK22(sK27(sK25),sK25)) ),
inference(instantiation,[status(thm)],[c_11634]) ).
cnf(c_12613,plain,
( ~ aInteger0(sK22(sK27(sK25),sK25))
| sK22(sK27(sK25),sK25) = sz00
| aElementOf0(sK26(sK22(sK27(sK25),sK25)),szAzrzSzezqlpdtcmdtrp0(sK25,sK22(sK27(sK25),sK25))) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_12615,plain,
( ~ aElementOf0(sK26(sK22(sK27(sK25),sK25)),sbsmnsldt0(xS))
| ~ aInteger0(sK22(sK27(sK25),sK25))
| sK22(sK27(sK25),sK25) = sz00 ),
inference(instantiation,[status(thm)],[c_182]) ).
cnf(c_14303,plain,
( ~ aElementOf0(X0,sK27(sK25))
| ~ aElementOf0(sK27(sK25),xS)
| ~ aInteger0(X0)
| aElementOf0(X0,sbsmnsldt0(xS)) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_15917,plain,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sK25,sK22(sK27(sK25),sK25)))
| ~ aInteger0(sK22(sK27(sK25),sK25))
| sK22(sK27(sK25),sK25) = sz00
| aInteger0(X0) ),
inference(instantiation,[status(thm)],[c_1756]) ).
cnf(c_19344,plain,
( ~ aElementOf0(sK26(sK22(sK27(sK25),sK25)),szAzrzSzezqlpdtcmdtrp0(sK25,sK22(sK27(sK25),sK25)))
| ~ aElementOf0(sK27(sK25),xS)
| ~ aElementOf0(sK25,sK27(sK25))
| aElementOf0(sK26(sK22(sK27(sK25),sK25)),sK27(sK25)) ),
inference(instantiation,[status(thm)],[c_1556]) ).
cnf(c_22848,plain,
( ~ aElementOf0(sK26(sK22(sK27(sK25),sK25)),szAzrzSzezqlpdtcmdtrp0(sK25,sK22(sK27(sK25),sK25)))
| ~ aInteger0(sK22(sK27(sK25),sK25))
| sK22(sK27(sK25),sK25) = sz00
| aInteger0(sK26(sK22(sK27(sK25),sK25))) ),
inference(instantiation,[status(thm)],[c_15917]) ).
cnf(c_23959,plain,
( ~ aElementOf0(sK26(sK22(sK27(sK25),sK25)),sK27(sK25))
| ~ aInteger0(sK26(sK22(sK27(sK25),sK25)))
| ~ aElementOf0(sK27(sK25),xS)
| aElementOf0(sK26(sK22(sK27(sK25),sK25)),sbsmnsldt0(xS)) ),
inference(instantiation,[status(thm)],[c_14303]) ).
cnf(c_23960,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_23959,c_22848,c_19344,c_12613,c_12615,c_12143,c_12142,c_11563,c_11561,c_186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.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
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Fri Aug 25 11:09:48 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.58/5.25 % SZS status Started for theBenchmark.p
% 32.58/5.25 % SZS status Theorem for theBenchmark.p
% 32.58/5.25
% 32.58/5.25 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.58/5.25
% 32.58/5.25 ------ iProver source info
% 32.58/5.25
% 32.58/5.25 git: date: 2023-05-31 18:12:56 +0000
% 32.58/5.25 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.58/5.25 git: non_committed_changes: false
% 32.58/5.25 git: last_make_outside_of_git: false
% 32.58/5.25
% 32.58/5.25 ------ Parsing...
% 32.58/5.25 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.58/5.25
% 32.58/5.25 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 32.58/5.25
% 32.58/5.25 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.58/5.25
% 32.58/5.25 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.58/5.25 ------ Proving...
% 32.58/5.25 ------ Problem Properties
% 32.58/5.25
% 32.58/5.25
% 32.58/5.25 clauses 140
% 32.58/5.25 conjectures 11
% 32.58/5.25 EPR 34
% 32.58/5.25 Horn 93
% 32.58/5.25 unary 6
% 32.58/5.25 binary 28
% 32.58/5.25 lits 497
% 32.58/5.25 lits eq 69
% 32.58/5.25 fd_pure 0
% 32.58/5.25 fd_pseudo 0
% 32.58/5.25 fd_cond 28
% 32.58/5.25 fd_pseudo_cond 9
% 32.58/5.25 AC symbols 0
% 32.58/5.25
% 32.58/5.25 ------ Input Options Time Limit: Unbounded
% 32.58/5.25
% 32.58/5.25
% 32.58/5.25 ------
% 32.58/5.25 Current options:
% 32.58/5.25 ------
% 32.58/5.25
% 32.58/5.25
% 32.58/5.25
% 32.58/5.25
% 32.58/5.25 ------ Proving...
% 32.58/5.25
% 32.58/5.25
% 32.58/5.25 % SZS status Theorem for theBenchmark.p
% 32.58/5.25
% 32.58/5.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.58/5.25
% 32.58/5.25
%------------------------------------------------------------------------------