TSTP Solution File: NUM440+6 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM440+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : Sat May 4 08:54:38 EDT 2024
% Result : Theorem 0.22s 0.56s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 49 ( 5 unt; 0 def)
% Number of atoms : 938 ( 21 equ)
% Maximal formula atoms : 420 ( 19 avg)
% Number of connectives : 1238 ( 349 ~; 515 |; 296 &)
% ( 31 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 107 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 101 ( 0 sgn 76 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ( aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) )
& ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X1] :
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X1)
& ( aElementOf0(X1,xA)
| aElementOf0(X1,xB) ) ) ) )
=> ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& aElementOf0(X1,stldt0(xA))
& aElementOf0(X1,stldt0(xB)) ) )
| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Y59xXi4FhT/E---3.1_8371.p',m__) ).
fof(m__1826,hypothesis,
( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(xB)
& ! [X1] :
( aElementOf0(X1,xB)
=> aElementOf0(X1,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(xA)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xA)) ) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(xB)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xB)) ) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
file('/export/starexec/sandbox/tmp/tmp.Y59xXi4FhT/E---3.1_8371.p',m__1826) ).
fof(c_0_2,plain,
( epred1_0
<=> ( ( ( aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) ) ) ),
introduced(definition) ).
fof(c_0_3,negated_conjecture,
~ ( epred1_0
& ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X1] :
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X1)
& ( aElementOf0(X1,xA)
| aElementOf0(X1,xB) ) ) ) )
=> ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& aElementOf0(X1,stldt0(xA))
& aElementOf0(X1,stldt0(xB)) ) )
| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]),c_0_2]) ).
fof(c_0_4,hypothesis,
( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(xB)
& ! [X1] :
( aElementOf0(X1,xB)
=> aElementOf0(X1,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(xA)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xA)) ) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(xB)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xB)) ) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(fof_simplification,[status(thm)],[m__1826]) ).
fof(c_0_5,plain,
( ( ( ( aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) ) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_6,negated_conjecture,
! [X133,X134,X135,X136] :
( ( aSet0(sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( aInteger0(X133)
| ~ aElementOf0(X133,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( aElementOf0(X133,xA)
| aElementOf0(X133,xB)
| ~ aElementOf0(X133,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( ~ aElementOf0(X133,xA)
| ~ aInteger0(X133)
| aElementOf0(X133,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( ~ aElementOf0(X133,xB)
| ~ aInteger0(X133)
| aElementOf0(X133,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aInteger0(X134)
| ~ aElementOf0(X134,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( ~ aElementOf0(X134,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X134,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( ~ aInteger0(X134)
| aElementOf0(X134,sdtbsmnsldt0(xA,xB))
| aElementOf0(X134,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aInteger0(X135)
| ~ aElementOf0(X135,stldt0(xA))
| ~ epred1_0 )
& ( ~ aElementOf0(X135,xA)
| ~ aElementOf0(X135,stldt0(xA))
| ~ epred1_0 )
& ( ~ aInteger0(X135)
| aElementOf0(X135,xA)
| aElementOf0(X135,stldt0(xA))
| ~ epred1_0 )
& ( aInteger0(X136)
| ~ aElementOf0(X136,stldt0(xB))
| ~ epred1_0 )
& ( ~ aElementOf0(X136,xB)
| ~ aElementOf0(X136,stldt0(xB))
| ~ epred1_0 )
& ( ~ aInteger0(X136)
| aElementOf0(X136,xB)
| aElementOf0(X136,stldt0(xB))
| ~ epred1_0 )
& ( ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(esk19_0)
| ~ aElementOf0(esk19_0,stldt0(xA))
| ~ aElementOf0(esk19_0,stldt0(xB))
| ~ epred1_0 )
& ( aInteger0(esk19_0)
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aElementOf0(esk19_0,stldt0(xA))
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aElementOf0(esk19_0,stldt0(xB))
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
fof(c_0_7,hypothesis,
! [X113,X114,X115,X116,X117,X118,X120,X122,X123,X124,X125,X126,X128,X130,X131,X132] :
( aSet0(cS1395)
& ( ~ aElementOf0(X113,cS1395)
| aInteger0(X113) )
& ( ~ aInteger0(X113)
| aElementOf0(X113,cS1395) )
& aSet0(xA)
& ( ~ aElementOf0(X114,xA)
| aElementOf0(X114,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ( ~ aElementOf0(X115,cS1395)
| aInteger0(X115) )
& ( ~ aInteger0(X115)
| aElementOf0(X115,cS1395) )
& aSet0(xB)
& ( ~ aElementOf0(X116,xB)
| aElementOf0(X116,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ( aInteger0(X117)
| ~ aElementOf0(X117,stldt0(xA)) )
& ( ~ aElementOf0(X117,xA)
| ~ aElementOf0(X117,stldt0(xA)) )
& ( ~ aInteger0(X117)
| aElementOf0(X117,xA)
| aElementOf0(X117,stldt0(xA)) )
& ( aInteger0(esk15_1(X118))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( esk15_1(X118) != sz00
| ~ aElementOf0(X118,stldt0(xA)) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( aInteger0(X120)
| ~ aElementOf0(X120,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( aInteger0(esk16_2(X118,X120))
| ~ aElementOf0(X120,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( sdtasdt0(esk15_1(X118),esk16_2(X118,X120)) = sdtpldt0(X120,smndt0(X118))
| ~ aElementOf0(X120,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( aDivisorOf0(esk15_1(X118),sdtpldt0(X120,smndt0(X118)))
| ~ aElementOf0(X120,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( sdteqdtlpzmzozddtrp0(X120,X118,esk15_1(X118))
| ~ aElementOf0(X120,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( ~ aInteger0(X123)
| sdtasdt0(esk15_1(X118),X123) != sdtpldt0(X122,smndt0(X118))
| ~ aInteger0(X122)
| aElementOf0(X122,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( ~ aDivisorOf0(esk15_1(X118),sdtpldt0(X122,smndt0(X118)))
| ~ aInteger0(X122)
| aElementOf0(X122,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( ~ sdteqdtlpzmzozddtrp0(X122,X118,esk15_1(X118))
| ~ aInteger0(X122)
| aElementOf0(X122,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( ~ aElementOf0(X124,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| aElementOf0(X124,stldt0(xA))
| ~ aElementOf0(X118,stldt0(xA)) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)),stldt0(xA))
| ~ aElementOf0(X118,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ( aInteger0(X125)
| ~ aElementOf0(X125,stldt0(xB)) )
& ( ~ aElementOf0(X125,xB)
| ~ aElementOf0(X125,stldt0(xB)) )
& ( ~ aInteger0(X125)
| aElementOf0(X125,xB)
| aElementOf0(X125,stldt0(xB)) )
& ( aInteger0(esk17_1(X126))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( esk17_1(X126) != sz00
| ~ aElementOf0(X126,stldt0(xB)) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( aInteger0(X128)
| ~ aElementOf0(X128,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( aInteger0(esk18_2(X126,X128))
| ~ aElementOf0(X128,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( sdtasdt0(esk17_1(X126),esk18_2(X126,X128)) = sdtpldt0(X128,smndt0(X126))
| ~ aElementOf0(X128,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( aDivisorOf0(esk17_1(X126),sdtpldt0(X128,smndt0(X126)))
| ~ aElementOf0(X128,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( sdteqdtlpzmzozddtrp0(X128,X126,esk17_1(X126))
| ~ aElementOf0(X128,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( ~ aInteger0(X131)
| sdtasdt0(esk17_1(X126),X131) != sdtpldt0(X130,smndt0(X126))
| ~ aInteger0(X130)
| aElementOf0(X130,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( ~ aDivisorOf0(esk17_1(X126),sdtpldt0(X130,smndt0(X126)))
| ~ aInteger0(X130)
| aElementOf0(X130,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( ~ sdteqdtlpzmzozddtrp0(X130,X126,esk17_1(X126))
| ~ aInteger0(X130)
| aElementOf0(X130,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( ~ aElementOf0(X132,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| aElementOf0(X132,stldt0(xB))
| ~ aElementOf0(X126,stldt0(xB)) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)),stldt0(xB))
| ~ aElementOf0(X126,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).
fof(c_0_8,plain,
! [X138,X139,X141,X142] :
( ( aSet0(stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( aInteger0(X141)
| ~ aElementOf0(X141,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X141,xB)
| ~ aElementOf0(X141,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X141)
| aElementOf0(X141,xB)
| aElementOf0(X141,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X142,cS1395)
| aInteger0(X142)
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X142)
| aElementOf0(X142,cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| aInteger0(X138)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aInteger0(X141)
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X138)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X141,xB)
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X138)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X141)
| aElementOf0(X141,xB)
| aElementOf0(X141,stldt0(xB))
| aInteger0(X138)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| aInteger0(X138)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X142,cS1395)
| aInteger0(X142)
| aInteger0(X138)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X142)
| aElementOf0(X142,cS1395)
| aInteger0(X138)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| aInteger0(X138)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| aInteger0(X138)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aInteger0(X138)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aInteger0(X141)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X141,xB)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X141)
| aElementOf0(X141,xB)
| aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X142,cS1395)
| aInteger0(X142)
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X142)
| aElementOf0(X142,cS1395)
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aInteger0(X138)
| aElementOf0(X138,xA)
| aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aInteger0(X141)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aInteger0(X138)
| aElementOf0(X138,xA)
| aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X141,xB)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aInteger0(X138)
| aElementOf0(X138,xA)
| aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X141)
| aElementOf0(X141,xB)
| aElementOf0(X141,stldt0(xB))
| ~ aInteger0(X138)
| aElementOf0(X138,xA)
| aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| ~ aInteger0(X138)
| aElementOf0(X138,xA)
| aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X142,cS1395)
| aInteger0(X142)
| ~ aInteger0(X138)
| aElementOf0(X138,xA)
| aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X142)
| aElementOf0(X142,cS1395)
| ~ aInteger0(X138)
| aElementOf0(X138,xA)
| aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aInteger0(X138)
| aElementOf0(X138,xA)
| aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aInteger0(X138)
| aElementOf0(X138,xA)
| aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aInteger0(X138)
| aElementOf0(X138,xA)
| aElementOf0(X138,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( aInteger0(X141)
| ~ aElementOf0(X141,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(X141,xB)
| ~ aElementOf0(X141,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aInteger0(X141)
| aElementOf0(X141,xB)
| aElementOf0(X141,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(X142,cS1395)
| aInteger0(X142)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aInteger0(X142)
| aElementOf0(X142,cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aElementOf0(X139,cS1395)
| aInteger0(X139)
| epred1_0 )
& ( aInteger0(X141)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X139,cS1395)
| aInteger0(X139)
| epred1_0 )
& ( ~ aElementOf0(X141,xB)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X139,cS1395)
| aInteger0(X139)
| epred1_0 )
& ( ~ aInteger0(X141)
| aElementOf0(X141,xB)
| aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X139,cS1395)
| aInteger0(X139)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(X139,cS1395)
| aInteger0(X139)
| epred1_0 )
& ( ~ aElementOf0(X142,cS1395)
| aInteger0(X142)
| ~ aElementOf0(X139,cS1395)
| aInteger0(X139)
| epred1_0 )
& ( ~ aInteger0(X142)
| aElementOf0(X142,cS1395)
| ~ aElementOf0(X139,cS1395)
| aInteger0(X139)
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aElementOf0(X139,cS1395)
| aInteger0(X139)
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aElementOf0(X139,cS1395)
| aInteger0(X139)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(X139,cS1395)
| aInteger0(X139)
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aInteger0(X139)
| aElementOf0(X139,cS1395)
| epred1_0 )
& ( aInteger0(X141)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aInteger0(X139)
| aElementOf0(X139,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X141,xB)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aInteger0(X139)
| aElementOf0(X139,cS1395)
| epred1_0 )
& ( ~ aInteger0(X141)
| aElementOf0(X141,xB)
| aElementOf0(X141,stldt0(xB))
| ~ aInteger0(X139)
| aElementOf0(X139,cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aInteger0(X139)
| aElementOf0(X139,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X142,cS1395)
| aInteger0(X142)
| ~ aInteger0(X139)
| aElementOf0(X139,cS1395)
| epred1_0 )
& ( ~ aInteger0(X142)
| aElementOf0(X142,cS1395)
| ~ aInteger0(X139)
| aElementOf0(X139,cS1395)
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aInteger0(X139)
| aElementOf0(X139,cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aInteger0(X139)
| aElementOf0(X139,cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aInteger0(X139)
| aElementOf0(X139,cS1395)
| epred1_0 )
& ( aSet0(stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( aInteger0(X141)
| ~ aElementOf0(X141,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X141,xB)
| ~ aElementOf0(X141,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X141)
| aElementOf0(X141,xB)
| aElementOf0(X141,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X142,cS1395)
| aInteger0(X142)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X142)
| aElementOf0(X142,cS1395)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( aInteger0(X141)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X141,xB)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aInteger0(X141)
| aElementOf0(X141,xB)
| aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X142,cS1395)
| aInteger0(X142)
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aInteger0(X142)
| aElementOf0(X142,cS1395)
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( aInteger0(X141)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aElementOf0(X141,xB)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aInteger0(X141)
| aElementOf0(X141,xB)
| aElementOf0(X141,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aElementOf0(X142,cS1395)
| aInteger0(X142)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aInteger0(X142)
| aElementOf0(X142,cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
cnf(c_0_9,negated_conjecture,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( aInteger0(esk19_0)
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( aElementOf0(esk19_0,stldt0(xB))
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( aElementOf0(esk19_0,stldt0(xA))
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( aElementOf0(esk21_0,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(esk19_0)
| ~ aElementOf0(esk19_0,stldt0(xA))
| ~ aElementOf0(esk19_0,stldt0(xB))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( aInteger0(esk19_0)
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_19,negated_conjecture,
( aElementOf0(esk19_0,stldt0(xB))
| ~ epred1_0
| ~ aElementOf0(esk19_0,sdtbsmnsldt0(xA,xB)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_20,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X1,xB)
| ~ aInteger0(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,hypothesis,
( ~ aElementOf0(X1,xB)
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
( aElementOf0(esk19_0,stldt0(xA))
| ~ epred1_0
| ~ aElementOf0(esk19_0,sdtbsmnsldt0(xA,xB)) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X1,xA)
| ~ aInteger0(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,hypothesis,
( ~ aElementOf0(X1,xA)
| ~ aElementOf0(X1,stldt0(xA)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xA)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,hypothesis,
( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| aInteger0(esk21_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_27,plain,
( aElementOf0(esk20_0,stldt0(xA))
| epred1_0
| ~ aElementOf0(esk21_0,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,negated_conjecture,
( aElementOf0(X1,xA)
| aElementOf0(X1,xB)
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,negated_conjecture,
( aElementOf0(esk19_0,sdtbsmnsldt0(xA,xB))
| ~ epred1_0
| ~ aElementOf0(esk19_0,stldt0(xA))
| ~ aElementOf0(esk19_0,stldt0(xB)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_30,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk19_0,xB) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18]),c_0_21]) ).
cnf(c_0_31,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk19_0,xA) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18]),c_0_24]) ).
cnf(c_0_32,hypothesis,
( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,hypothesis,
( epred1_0
| aInteger0(esk21_0)
| aInteger0(esk20_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,hypothesis,
( epred1_0
| aInteger0(esk20_0)
| ~ aElementOf0(esk21_0,cS1395) ),
inference(spm,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk19_0,stldt0(xA))
| ~ aElementOf0(esk19_0,stldt0(xB)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_36,hypothesis,
( aElementOf0(X1,xB)
| aElementOf0(X1,stldt0(xB))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_37,hypothesis,
( epred1_0
| aInteger0(esk20_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_38,hypothesis,
( ~ epred1_0
| ~ aElementOf0(esk19_0,stldt0(xA)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_18]),c_0_30]) ).
cnf(c_0_39,hypothesis,
( aElementOf0(X1,xA)
| aElementOf0(X1,stldt0(xA))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_40,plain,
( aElementOf0(esk21_0,stldt0(xB))
| epred1_0
| ~ aElementOf0(esk20_0,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,hypothesis,
( epred1_0
| aElementOf0(esk20_0,cS1395) ),
inference(spm,[status(thm)],[c_0_32,c_0_37]) ).
cnf(c_0_42,hypothesis,
~ epred1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_18]),c_0_31]) ).
cnf(c_0_43,hypothesis,
( epred1_0
| aInteger0(esk21_0)
| ~ aElementOf0(esk20_0,cS1395) ),
inference(spm,[status(thm)],[c_0_14,c_0_40]) ).
cnf(c_0_44,hypothesis,
aElementOf0(esk20_0,cS1395),
inference(sr,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
( epred1_0
| ~ aElementOf0(esk21_0,cS1395)
| ~ aElementOf0(esk20_0,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_46,hypothesis,
aInteger0(esk21_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]),c_0_42]) ).
cnf(c_0_47,plain,
~ aElementOf0(esk21_0,cS1395),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_44])]),c_0_42]) ).
cnf(c_0_48,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM440+6 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 09:45:57 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Y59xXi4FhT/E---3.1_8371.p
% 0.22/0.56 # Version: 3.1.0
% 0.22/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.56 # Starting sh5l with 300s (1) cores
% 0.22/0.56 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 8459 completed with status 0
% 0.22/0.56 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.22/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.56 # No SInE strategy applied
% 0.22/0.56 # Search class: FGHSF-FSLM31-SFFFFFNN
% 0.22/0.56 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.56 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 666s (1) cores
% 0.22/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.22/0.56 # Starting new_bool_3 with 194s (1) cores
% 0.22/0.56 # Starting new_bool_1 with 188s (1) cores
% 0.22/0.56 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.22/0.56 # SAT001_MinMin_p005000_rr_RG with pid 8480 completed with status 0
% 0.22/0.56 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.56 # No SInE strategy applied
% 0.22/0.56 # Search class: FGHSF-FSLM31-SFFFFFNN
% 0.22/0.56 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.56 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 666s (1) cores
% 0.22/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.22/0.56 # Starting new_bool_3 with 194s (1) cores
% 0.22/0.56 # Starting new_bool_1 with 188s (1) cores
% 0.22/0.56 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.22/0.56 # Preprocessing time : 0.005 s
% 0.22/0.56 # Presaturation interreduction done
% 0.22/0.56
% 0.22/0.56 # Proof found!
% 0.22/0.56 # SZS status Theorem
% 0.22/0.56 # SZS output start CNFRefutation
% See solution above
% 0.22/0.56 # Parsed axioms : 40
% 0.22/0.56 # Removed by relevancy pruning/SinE : 0
% 0.22/0.56 # Initial clauses : 277
% 0.22/0.56 # Removed in clause preprocessing : 5
% 0.22/0.56 # Initial clauses in saturation : 272
% 0.22/0.56 # Processed clauses : 450
% 0.22/0.56 # ...of these trivial : 37
% 0.22/0.56 # ...subsumed : 85
% 0.22/0.56 # ...remaining for further processing : 328
% 0.22/0.56 # Other redundant clauses eliminated : 32
% 0.22/0.56 # Clauses deleted for lack of memory : 0
% 0.22/0.56 # Backward-subsumed : 35
% 0.22/0.56 # Backward-rewritten : 5
% 0.22/0.56 # Generated clauses : 169
% 0.22/0.56 # ...of the previous two non-redundant : 130
% 0.22/0.56 # ...aggressively subsumed : 0
% 0.22/0.56 # Contextual simplify-reflections : 16
% 0.22/0.56 # Paramodulations : 133
% 0.22/0.56 # Factorizations : 0
% 0.22/0.56 # NegExts : 0
% 0.22/0.56 # Equation resolutions : 32
% 0.22/0.56 # Disequality decompositions : 0
% 0.22/0.56 # Total rewrite steps : 106
% 0.22/0.56 # ...of those cached : 93
% 0.22/0.56 # Propositional unsat checks : 0
% 0.22/0.56 # Propositional check models : 0
% 0.22/0.56 # Propositional check unsatisfiable : 0
% 0.22/0.56 # Propositional clauses : 0
% 0.22/0.56 # Propositional clauses after purity: 0
% 0.22/0.56 # Propositional unsat core size : 0
% 0.22/0.56 # Propositional preprocessing time : 0.000
% 0.22/0.56 # Propositional encoding time : 0.000
% 0.22/0.56 # Propositional solver time : 0.000
% 0.22/0.56 # Success case prop preproc time : 0.000
% 0.22/0.56 # Success case prop encoding time : 0.000
% 0.22/0.56 # Success case prop solver time : 0.000
% 0.22/0.56 # Current number of processed clauses : 80
% 0.22/0.56 # Positive orientable unit clauses : 19
% 0.22/0.56 # Positive unorientable unit clauses: 0
% 0.22/0.56 # Negative unit clauses : 2
% 0.22/0.56 # Non-unit-clauses : 59
% 0.22/0.56 # Current number of unprocessed clauses: 123
% 0.22/0.56 # ...number of literals in the above : 525
% 0.22/0.56 # Current number of archived formulas : 0
% 0.22/0.56 # Current number of archived clauses : 216
% 0.22/0.56 # Clause-clause subsumption calls (NU) : 6392
% 0.22/0.56 # Rec. Clause-clause subsumption calls : 2305
% 0.22/0.56 # Non-unit clause-clause subsumptions : 115
% 0.22/0.56 # Unit Clause-clause subsumption calls : 220
% 0.22/0.56 # Rewrite failures with RHS unbound : 0
% 0.22/0.56 # BW rewrite match attempts : 2
% 0.22/0.56 # BW rewrite match successes : 2
% 0.22/0.56 # Condensation attempts : 0
% 0.22/0.56 # Condensation successes : 0
% 0.22/0.56 # Termbank termtop insertions : 21268
% 0.22/0.56 # Search garbage collected termcells : 3885
% 0.22/0.56
% 0.22/0.56 # -------------------------------------------------
% 0.22/0.56 # User time : 0.042 s
% 0.22/0.56 # System time : 0.005 s
% 0.22/0.56 # Total time : 0.048 s
% 0.22/0.56 # Maximum resident set size: 2488 pages
% 0.22/0.56
% 0.22/0.56 # -------------------------------------------------
% 0.22/0.56 # User time : 0.168 s
% 0.22/0.56 # System time : 0.015 s
% 0.22/0.56 # Total time : 0.183 s
% 0.22/0.56 # Maximum resident set size: 1756 pages
% 0.22/0.56 % E---3.1 exiting
% 0.22/0.56 % E exiting
%------------------------------------------------------------------------------