%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM440+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 : Thu Sep 24 01:49:05 PM UTC 2026
% Result : Theorem 0.08s 0.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 55 ( 6 unt; 0 def)
% Number of atoms : 991 ( 22 equ)
% Maximal formula atoms : 420 ( 18 avg)
% Number of connectives : 1294 ( 358 ~; 527 |; 312 &)
% ( 40 <=>; 57 =>; 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 : 112 ( 0 sgn 87 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ( ! [X1] :
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X1,xB)
| aElementOf0(X1,xA) )
& aInteger0(X1) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X1,stldt0(xB))
& aElementOf0(X1,stldt0(xA))
& aInteger0(X1) ) ) ) ) ) ) )
& ( ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> aElementOf0(X1,cS1395) ) ) ) )
& ( ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> aElementOf0(X1,cS1395) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__1826,hypothesis,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xB))
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(xB)) )
& ! [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))
& X2 != sz00
& aInteger0(X2) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xA))
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(xA)) )
& ! [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))
& X2 != sz00
& aInteger0(X2) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X1] :
( aElementOf0(X1,xB)
=> aElementOf0(X1,cS1395) )
& aSet0(xB)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,cS1395) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1826) ).
fof(c_0_2,negated_conjecture,
~ ( ( ( ! [X1] :
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X1,xB)
| aElementOf0(X1,xA) )
& aInteger0(X1) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X1,stldt0(xB))
& aElementOf0(X1,stldt0(xA))
& aInteger0(X1) ) ) ) ) ) ) )
& ( ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> aElementOf0(X1,cS1395) ) ) ) )
& ( ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> aElementOf0(X1,cS1395) ) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_3,plain,
( epred1_0
<=> ( ( ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> aElementOf0(X1,cS1395) ) ) ) )
& ( ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> aElementOf0(X1,cS1395) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ( ( ( ! [X1] :
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X1,xB)
| aElementOf0(X1,xA) )
& aInteger0(X1) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X1,stldt0(xB))
& aElementOf0(X1,stldt0(xA))
& aInteger0(X1) ) ) ) ) ) ) )
& epred1_0 ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2]),c_0_3]) ).
fof(c_0_5,negated_conjecture,
! [X133,X134,X135,X136] :
( ( ~ epred1_0
| stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB)) )
& ( ~ epred1_0
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk19_0,stldt0(xB)) )
& ( ~ epred1_0
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk19_0,stldt0(xA)) )
& ( ~ epred1_0
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(esk19_0) )
& ( ~ epred1_0
| ~ aElementOf0(esk19_0,stldt0(xB))
| ~ aElementOf0(esk19_0,stldt0(xA))
| ~ aInteger0(esk19_0)
| ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ~ epred1_0
| aElementOf0(X136,stldt0(xB))
| aElementOf0(X136,xB)
| ~ aInteger0(X136) )
& ( ~ epred1_0
| ~ aElementOf0(X136,stldt0(xB))
| ~ aElementOf0(X136,xB) )
& ( ~ epred1_0
| ~ aElementOf0(X136,stldt0(xB))
| aInteger0(X136) )
& ( ~ epred1_0
| aElementOf0(X135,stldt0(xA))
| aElementOf0(X135,xA)
| ~ aInteger0(X135) )
& ( ~ epred1_0
| ~ aElementOf0(X135,stldt0(xA))
| ~ aElementOf0(X135,xA) )
& ( ~ epred1_0
| ~ aElementOf0(X135,stldt0(xA))
| aInteger0(X135) )
& ( ~ epred1_0
| aElementOf0(X134,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X134,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X134) )
& ( ~ epred1_0
| ~ aElementOf0(X134,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X134,sdtbsmnsldt0(xA,xB)) )
& ( ~ epred1_0
| ~ aElementOf0(X134,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(X134) )
& ( ~ epred1_0
| aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ~ epred1_0
| aElementOf0(X133,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X133)
| ~ aElementOf0(X133,xB) )
& ( ~ epred1_0
| aElementOf0(X133,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X133)
| ~ aElementOf0(X133,xA) )
& ( ~ epred1_0
| ~ aElementOf0(X133,sdtbsmnsldt0(xA,xB))
| aElementOf0(X133,xB)
| aElementOf0(X133,xA) )
& ( ~ epred1_0
| ~ aElementOf0(X133,sdtbsmnsldt0(xA,xB))
| aInteger0(X133) )
& ( ~ epred1_0
| aSet0(sdtbsmnsldt0(xA,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(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).
cnf(c_0_6,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_7,negated_conjecture,
( ~ epred1_0
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(esk19_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,hypothesis,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xB))
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(xB)) )
& ! [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))
& X2 != sz00
& aInteger0(X2) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xA))
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(xA)) )
& ! [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))
& X2 != sz00
& aInteger0(X2) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X1] :
( aElementOf0(X1,xB)
=> aElementOf0(X1,cS1395) )
& aSet0(xB)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,cS1395) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) ),
inference(fof_simplification,[status(thm)],[m__1826]) ).
cnf(c_0_9,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk19_0,stldt0(xB))
| ~ aElementOf0(esk19_0,stldt0(xA))
| ~ aInteger0(esk19_0)
| ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( ~ epred1_0
| aInteger0(esk19_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_11,hypothesis,
! [X113,X114,X115,X116,X117,X118,X120,X122,X123,X124,X125,X126,X128,X130,X131,X132] :
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ( ~ aElementOf0(X126,stldt0(xB))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)),stldt0(xB)) )
& ( ~ aElementOf0(X126,stldt0(xB))
| aElementOf0(X132,stldt0(xB))
| ~ aElementOf0(X132,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126))) )
& ( ~ aElementOf0(X126,stldt0(xB))
| aElementOf0(X130,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aInteger0(X130)
| ~ sdteqdtlpzmzozddtrp0(X130,X126,esk17_1(X126)) )
& ( ~ aElementOf0(X126,stldt0(xB))
| aElementOf0(X130,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aInteger0(X130)
| ~ aDivisorOf0(esk17_1(X126),sdtpldt0(X130,smndt0(X126))) )
& ( ~ aElementOf0(X126,stldt0(xB))
| aElementOf0(X130,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| ~ aInteger0(X130)
| sdtasdt0(esk17_1(X126),X131) != sdtpldt0(X130,smndt0(X126))
| ~ aInteger0(X131) )
& ( ~ aElementOf0(X126,stldt0(xB))
| ~ aElementOf0(X128,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| sdteqdtlpzmzozddtrp0(X128,X126,esk17_1(X126)) )
& ( ~ aElementOf0(X126,stldt0(xB))
| ~ aElementOf0(X128,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| aDivisorOf0(esk17_1(X126),sdtpldt0(X128,smndt0(X126))) )
& ( ~ aElementOf0(X126,stldt0(xB))
| ~ aElementOf0(X128,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| sdtasdt0(esk17_1(X126),esk18_2(X126,X128)) = sdtpldt0(X128,smndt0(X126)) )
& ( ~ aElementOf0(X126,stldt0(xB))
| ~ aElementOf0(X128,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| aInteger0(esk18_2(X126,X128)) )
& ( ~ aElementOf0(X126,stldt0(xB))
| ~ aElementOf0(X128,szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126)))
| aInteger0(X128) )
& ( ~ aElementOf0(X126,stldt0(xB))
| aSet0(szAzrzSzezqlpdtcmdtrp0(X126,esk17_1(X126))) )
& ( ~ aElementOf0(X126,stldt0(xB))
| esk17_1(X126) != sz00 )
& ( ~ aElementOf0(X126,stldt0(xB))
| aInteger0(esk17_1(X126)) )
& ( aElementOf0(X125,stldt0(xB))
| aElementOf0(X125,xB)
| ~ aInteger0(X125) )
& ( ~ aElementOf0(X125,stldt0(xB))
| ~ aElementOf0(X125,xB) )
& ( ~ aElementOf0(X125,stldt0(xB))
| aInteger0(X125) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ( ~ aElementOf0(X118,stldt0(xA))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)),stldt0(xA)) )
& ( ~ aElementOf0(X118,stldt0(xA))
| aElementOf0(X124,stldt0(xA))
| ~ aElementOf0(X124,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118))) )
& ( ~ aElementOf0(X118,stldt0(xA))
| aElementOf0(X122,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aInteger0(X122)
| ~ sdteqdtlpzmzozddtrp0(X122,X118,esk15_1(X118)) )
& ( ~ aElementOf0(X118,stldt0(xA))
| aElementOf0(X122,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aInteger0(X122)
| ~ aDivisorOf0(esk15_1(X118),sdtpldt0(X122,smndt0(X118))) )
& ( ~ aElementOf0(X118,stldt0(xA))
| aElementOf0(X122,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| ~ aInteger0(X122)
| sdtasdt0(esk15_1(X118),X123) != sdtpldt0(X122,smndt0(X118))
| ~ aInteger0(X123) )
& ( ~ aElementOf0(X118,stldt0(xA))
| ~ aElementOf0(X120,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| sdteqdtlpzmzozddtrp0(X120,X118,esk15_1(X118)) )
& ( ~ aElementOf0(X118,stldt0(xA))
| ~ aElementOf0(X120,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| aDivisorOf0(esk15_1(X118),sdtpldt0(X120,smndt0(X118))) )
& ( ~ aElementOf0(X118,stldt0(xA))
| ~ aElementOf0(X120,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| sdtasdt0(esk15_1(X118),esk16_2(X118,X120)) = sdtpldt0(X120,smndt0(X118)) )
& ( ~ aElementOf0(X118,stldt0(xA))
| ~ aElementOf0(X120,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| aInteger0(esk16_2(X118,X120)) )
& ( ~ aElementOf0(X118,stldt0(xA))
| ~ aElementOf0(X120,szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118)))
| aInteger0(X120) )
& ( ~ aElementOf0(X118,stldt0(xA))
| aSet0(szAzrzSzezqlpdtcmdtrp0(X118,esk15_1(X118))) )
& ( ~ aElementOf0(X118,stldt0(xA))
| esk15_1(X118) != sz00 )
& ( ~ aElementOf0(X118,stldt0(xA))
| aInteger0(esk15_1(X118)) )
& ( aElementOf0(X117,stldt0(xA))
| aElementOf0(X117,xA)
| ~ aInteger0(X117) )
& ( ~ aElementOf0(X117,stldt0(xA))
| ~ aElementOf0(X117,xA) )
& ( ~ aElementOf0(X117,stldt0(xA))
| aInteger0(X117) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ( aElementOf0(X116,cS1395)
| ~ aElementOf0(X116,xB) )
& aSet0(xB)
& ( aElementOf0(X115,cS1395)
| ~ aInteger0(X115) )
& ( aInteger0(X115)
| ~ aElementOf0(X115,cS1395) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ( aElementOf0(X114,cS1395)
| ~ aElementOf0(X114,xA) )
& aSet0(xA)
& ( aElementOf0(X113,cS1395)
| ~ aInteger0(X113) )
& ( aInteger0(X113)
| ~ aElementOf0(X113,cS1395) )
& aSet0(cS1395) ),
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_8])])])])])])]) ).
cnf(c_0_12,negated_conjecture,
( ~ aElementOf0(esk19_0,stldt0(xB))
| ~ aElementOf0(esk19_0,stldt0(xA))
| ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,hypothesis,
( ~ aInteger0(X1)
| aElementOf0(X1,stldt0(xA))
| aElementOf0(X1,xA) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( ~ aElementOf0(esk19_0,stldt0(xB))
| ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0
| aElementOf0(esk19_0,xA) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_10]) ).
cnf(c_0_15,hypothesis,
( ~ aInteger0(X1)
| aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0
| aElementOf0(esk19_0,xA)
| aElementOf0(esk19_0,xB) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( ~ epred1_0
| ~ aInteger0(X1)
| aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| aElementOf0(X1,xB)
| aElementOf0(X1,xA) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
( ~ epred1_0
| ~ aInteger0(X1)
| ~ aElementOf0(X1,xB)
| aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( ~ epred1_0
| aElementOf0(esk19_0,xB)
| aElementOf0(esk19_0,xA) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_10]),c_0_18]) ).
fof(c_0_21,plain,
( ( ( ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> aElementOf0(X1,cS1395) ) ) ) )
& ( ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> aElementOf0(X1,cS1395) ) ) ) ) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
( ~ epred1_0
| aElementOf0(esk19_0,xA)
| aElementOf0(esk19_0,sdtbsmnsldt0(xA,xB)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_10]) ).
cnf(c_0_24,hypothesis,
( ~ aElementOf0(X1,stldt0(xB))
| ~ aElementOf0(X1,xB) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_25,plain,
! [X138,X139,X141,X142] :
( ( epred1_0
| ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395) )
& ( epred1_0
| ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aElementOf0(esk21_0,cS1395) )
& ( epred1_0
| ~ aSubsetOf0(stldt0(xA),cS1395)
| aElementOf0(esk21_0,stldt0(xB)) )
& ( epred1_0
| ~ aSubsetOf0(stldt0(xA),cS1395)
| aElementOf0(X142,cS1395)
| ~ aInteger0(X142) )
& ( epred1_0
| ~ aSubsetOf0(stldt0(xA),cS1395)
| aInteger0(X142)
| ~ aElementOf0(X142,cS1395) )
& ( epred1_0
| ~ aSubsetOf0(stldt0(xA),cS1395)
| aSet0(cS1395) )
& ( epred1_0
| ~ aSubsetOf0(stldt0(xA),cS1395)
| aElementOf0(X141,stldt0(xB))
| aElementOf0(X141,xB)
| ~ aInteger0(X141) )
& ( epred1_0
| ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X141,xB) )
& ( epred1_0
| ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X141) )
& ( epred1_0
| ~ aSubsetOf0(stldt0(xA),cS1395)
| aSet0(stldt0(xB)) )
& ( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395) )
& ( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| ~ aElementOf0(esk21_0,cS1395) )
& ( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| aElementOf0(esk21_0,stldt0(xB)) )
& ( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| aElementOf0(X142,cS1395)
| ~ aInteger0(X142) )
& ( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| aInteger0(X142)
| ~ aElementOf0(X142,cS1395) )
& ( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| aSet0(cS1395) )
& ( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| aElementOf0(X141,stldt0(xB))
| aElementOf0(X141,xB)
| ~ aInteger0(X141) )
& ( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X141,xB) )
& ( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X141) )
& ( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| aSet0(stldt0(xB)) )
& ( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395) )
& ( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| ~ aElementOf0(esk21_0,cS1395) )
& ( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| aElementOf0(esk21_0,stldt0(xB)) )
& ( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| aElementOf0(X142,cS1395)
| ~ aInteger0(X142) )
& ( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| aInteger0(X142)
| ~ aElementOf0(X142,cS1395) )
& ( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| aSet0(cS1395) )
& ( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| aElementOf0(X141,stldt0(xB))
| aElementOf0(X141,xB)
| ~ aInteger0(X141) )
& ( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X141,xB) )
& ( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X141) )
& ( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| aSet0(stldt0(xB)) )
& ( epred1_0
| aElementOf0(X139,cS1395)
| ~ aInteger0(X139)
| ~ aSubsetOf0(stldt0(xB),cS1395) )
& ( epred1_0
| aElementOf0(X139,cS1395)
| ~ aInteger0(X139)
| ~ aElementOf0(esk21_0,cS1395) )
& ( epred1_0
| aElementOf0(X139,cS1395)
| ~ aInteger0(X139)
| aElementOf0(esk21_0,stldt0(xB)) )
& ( epred1_0
| aElementOf0(X139,cS1395)
| ~ aInteger0(X139)
| aElementOf0(X142,cS1395)
| ~ aInteger0(X142) )
& ( epred1_0
| aElementOf0(X139,cS1395)
| ~ aInteger0(X139)
| aInteger0(X142)
| ~ aElementOf0(X142,cS1395) )
& ( epred1_0
| aElementOf0(X139,cS1395)
| ~ aInteger0(X139)
| aSet0(cS1395) )
& ( epred1_0
| aElementOf0(X139,cS1395)
| ~ aInteger0(X139)
| aElementOf0(X141,stldt0(xB))
| aElementOf0(X141,xB)
| ~ aInteger0(X141) )
& ( epred1_0
| aElementOf0(X139,cS1395)
| ~ aInteger0(X139)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X141,xB) )
& ( epred1_0
| aElementOf0(X139,cS1395)
| ~ aInteger0(X139)
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X141) )
& ( epred1_0
| aElementOf0(X139,cS1395)
| ~ aInteger0(X139)
| aSet0(stldt0(xB)) )
& ( epred1_0
| aInteger0(X139)
| ~ aElementOf0(X139,cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395) )
& ( epred1_0
| aInteger0(X139)
| ~ aElementOf0(X139,cS1395)
| ~ aElementOf0(esk21_0,cS1395) )
& ( epred1_0
| aInteger0(X139)
| ~ aElementOf0(X139,cS1395)
| aElementOf0(esk21_0,stldt0(xB)) )
& ( epred1_0
| aInteger0(X139)
| ~ aElementOf0(X139,cS1395)
| aElementOf0(X142,cS1395)
| ~ aInteger0(X142) )
& ( epred1_0
| aInteger0(X139)
| ~ aElementOf0(X139,cS1395)
| aInteger0(X142)
| ~ aElementOf0(X142,cS1395) )
& ( epred1_0
| aInteger0(X139)
| ~ aElementOf0(X139,cS1395)
| aSet0(cS1395) )
& ( epred1_0
| aInteger0(X139)
| ~ aElementOf0(X139,cS1395)
| aElementOf0(X141,stldt0(xB))
| aElementOf0(X141,xB)
| ~ aInteger0(X141) )
& ( epred1_0
| aInteger0(X139)
| ~ aElementOf0(X139,cS1395)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X141,xB) )
& ( epred1_0
| aInteger0(X139)
| ~ aElementOf0(X139,cS1395)
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X141) )
& ( epred1_0
| aInteger0(X139)
| ~ aElementOf0(X139,cS1395)
| aSet0(stldt0(xB)) )
& ( epred1_0
| aSet0(cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395) )
& ( epred1_0
| aSet0(cS1395)
| ~ aElementOf0(esk21_0,cS1395) )
& ( epred1_0
| aSet0(cS1395)
| aElementOf0(esk21_0,stldt0(xB)) )
& ( epred1_0
| aSet0(cS1395)
| aElementOf0(X142,cS1395)
| ~ aInteger0(X142) )
& ( epred1_0
| aSet0(cS1395)
| aInteger0(X142)
| ~ aElementOf0(X142,cS1395) )
& ( epred1_0
| aSet0(cS1395)
| aSet0(cS1395) )
& ( epred1_0
| aSet0(cS1395)
| aElementOf0(X141,stldt0(xB))
| aElementOf0(X141,xB)
| ~ aInteger0(X141) )
& ( epred1_0
| aSet0(cS1395)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X141,xB) )
& ( epred1_0
| aSet0(cS1395)
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X141) )
& ( epred1_0
| aSet0(cS1395)
| aSet0(stldt0(xB)) )
& ( epred1_0
| aElementOf0(X138,stldt0(xA))
| aElementOf0(X138,xA)
| ~ aInteger0(X138)
| ~ aSubsetOf0(stldt0(xB),cS1395) )
& ( epred1_0
| aElementOf0(X138,stldt0(xA))
| aElementOf0(X138,xA)
| ~ aInteger0(X138)
| ~ aElementOf0(esk21_0,cS1395) )
& ( epred1_0
| aElementOf0(X138,stldt0(xA))
| aElementOf0(X138,xA)
| ~ aInteger0(X138)
| aElementOf0(esk21_0,stldt0(xB)) )
& ( epred1_0
| aElementOf0(X138,stldt0(xA))
| aElementOf0(X138,xA)
| ~ aInteger0(X138)
| aElementOf0(X142,cS1395)
| ~ aInteger0(X142) )
& ( epred1_0
| aElementOf0(X138,stldt0(xA))
| aElementOf0(X138,xA)
| ~ aInteger0(X138)
| aInteger0(X142)
| ~ aElementOf0(X142,cS1395) )
& ( epred1_0
| aElementOf0(X138,stldt0(xA))
| aElementOf0(X138,xA)
| ~ aInteger0(X138)
| aSet0(cS1395) )
& ( epred1_0
| aElementOf0(X138,stldt0(xA))
| aElementOf0(X138,xA)
| ~ aInteger0(X138)
| aElementOf0(X141,stldt0(xB))
| aElementOf0(X141,xB)
| ~ aInteger0(X141) )
& ( epred1_0
| aElementOf0(X138,stldt0(xA))
| aElementOf0(X138,xA)
| ~ aInteger0(X138)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X141,xB) )
& ( epred1_0
| aElementOf0(X138,stldt0(xA))
| aElementOf0(X138,xA)
| ~ aInteger0(X138)
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X141) )
& ( epred1_0
| aElementOf0(X138,stldt0(xA))
| aElementOf0(X138,xA)
| ~ aInteger0(X138)
| aSet0(stldt0(xB)) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| ~ aElementOf0(X138,xA)
| ~ aSubsetOf0(stldt0(xB),cS1395) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(esk21_0,cS1395) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| ~ aElementOf0(X138,xA)
| aElementOf0(esk21_0,stldt0(xB)) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| ~ aElementOf0(X138,xA)
| aElementOf0(X142,cS1395)
| ~ aInteger0(X142) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| ~ aElementOf0(X138,xA)
| aInteger0(X142)
| ~ aElementOf0(X142,cS1395) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| ~ aElementOf0(X138,xA)
| aSet0(cS1395) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| ~ aElementOf0(X138,xA)
| aElementOf0(X141,stldt0(xB))
| aElementOf0(X141,xB)
| ~ aInteger0(X141) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X141,xB) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| ~ aElementOf0(X138,xA)
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X141) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| ~ aElementOf0(X138,xA)
| aSet0(stldt0(xB)) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| aInteger0(X138)
| ~ aSubsetOf0(stldt0(xB),cS1395) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| aInteger0(X138)
| ~ aElementOf0(esk21_0,cS1395) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| aInteger0(X138)
| aElementOf0(esk21_0,stldt0(xB)) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| aInteger0(X138)
| aElementOf0(X142,cS1395)
| ~ aInteger0(X142) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| aInteger0(X138)
| aInteger0(X142)
| ~ aElementOf0(X142,cS1395) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| aInteger0(X138)
| aSet0(cS1395) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| aInteger0(X138)
| aElementOf0(X141,stldt0(xB))
| aElementOf0(X141,xB)
| ~ aInteger0(X141) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| aInteger0(X138)
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X141,xB) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| aInteger0(X138)
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X141) )
& ( epred1_0
| ~ aElementOf0(X138,stldt0(xA))
| aInteger0(X138)
| aSet0(stldt0(xB)) )
& ( epred1_0
| aSet0(stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395) )
& ( epred1_0
| aSet0(stldt0(xA))
| ~ aElementOf0(esk21_0,cS1395) )
& ( epred1_0
| aSet0(stldt0(xA))
| aElementOf0(esk21_0,stldt0(xB)) )
& ( epred1_0
| aSet0(stldt0(xA))
| aElementOf0(X142,cS1395)
| ~ aInteger0(X142) )
& ( epred1_0
| aSet0(stldt0(xA))
| aInteger0(X142)
| ~ aElementOf0(X142,cS1395) )
& ( epred1_0
| aSet0(stldt0(xA))
| aSet0(cS1395) )
& ( epred1_0
| aSet0(stldt0(xA))
| aElementOf0(X141,stldt0(xB))
| aElementOf0(X141,xB)
| ~ aInteger0(X141) )
& ( epred1_0
| aSet0(stldt0(xA))
| ~ aElementOf0(X141,stldt0(xB))
| ~ aElementOf0(X141,xB) )
& ( epred1_0
| aSet0(stldt0(xA))
| ~ aElementOf0(X141,stldt0(xB))
| aInteger0(X141) )
& ( epred1_0
| aSet0(stldt0(xA))
| aSet0(stldt0(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(fof_nnf,[status(thm)],[c_0_21])])])])])]) ).
cnf(c_0_26,negated_conjecture,
( ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0
| aElementOf0(esk19_0,xA) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( ~ epred1_0
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk19_0,stldt0(xB)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,hypothesis,
( ~ aElementOf0(esk19_0,stldt0(xB))
| ~ epred1_0
| aElementOf0(esk19_0,xA) ),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
cnf(c_0_29,hypothesis,
( ~ aElementOf0(X1,stldt0(xB))
| aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,plain,
( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| aElementOf0(esk21_0,stldt0(xB)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( ~ epred1_0
| ~ aInteger0(X1)
| ~ aElementOf0(X1,xA)
| aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_32,negated_conjecture,
( ~ epred1_0
| aElementOf0(esk19_0,xA) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_33,hypothesis,
( ~ aElementOf0(X1,stldt0(xA))
| aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,hypothesis,
( aInteger0(esk21_0)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( ~ epred1_0
| aElementOf0(esk19_0,sdtbsmnsldt0(xA,xB)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_10]) ).
cnf(c_0_36,hypothesis,
( ~ aElementOf0(X1,stldt0(xA))
| ~ aElementOf0(X1,xA) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,hypothesis,
( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,hypothesis,
( aInteger0(esk20_0)
| aInteger0(esk21_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
( ~ epred1_0
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk19_0,stldt0(xA)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_41,hypothesis,
( ~ aElementOf0(esk19_0,stldt0(xA))
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_42,hypothesis,
( aInteger0(esk20_0)
| aElementOf0(esk21_0,cS1395)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
~ epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_44,hypothesis,
( aInteger0(esk20_0)
| aElementOf0(esk21_0,cS1395) ),
inference(sr,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_45,plain,
( ~ aElementOf0(esk21_0,cS1395)
| epred1_0
| aElementOf0(esk20_0,stldt0(xA)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_46,hypothesis,
( aElementOf0(esk20_0,cS1395)
| aElementOf0(esk21_0,cS1395) ),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_47,plain,
( aElementOf0(esk20_0,cS1395)
| aElementOf0(esk20_0,stldt0(xA)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_43]) ).
cnf(c_0_48,plain,
( ~ aElementOf0(esk20_0,cS1395)
| epred1_0
| aElementOf0(esk21_0,stldt0(xB)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_49,hypothesis,
aElementOf0(esk20_0,cS1395),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_47]),c_0_37]) ).
cnf(c_0_50,plain,
aElementOf0(esk21_0,stldt0(xB)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]),c_0_43]) ).
cnf(c_0_51,plain,
( ~ aElementOf0(esk20_0,cS1395)
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_52,hypothesis,
aInteger0(esk21_0),
inference(spm,[status(thm)],[c_0_29,c_0_50]) ).
cnf(c_0_53,plain,
~ aElementOf0(esk21_0,cS1395),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_49])]),c_0_43]) ).
cnf(c_0_54,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_52]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM440+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Mon Sep 21 02:29:07 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.02/0.34 Running first-order theorem proving
% 0.02/0.34 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.08/0.40 % Version: 3.5.1
% 0.08/0.40 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.08/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.40 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.08/0.40 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.40 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.40 % Starting sh5l with 300s (1) cores
% 0.08/0.40 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1380385 completed with status 0
% 0.08/0.40 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.08/0.40 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.08/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.40 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.08/0.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.40 % No SInE strategy applied
% 0.08/0.40 % Search class: FGHSF-FSLM31-SFFFFFNN
% 0.08/0.40 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.40 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.40 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.08/0.40 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 198s (1) cores
% 0.08/0.40 % Starting new_bool_3 with 194s (1) cores
% 0.08/0.40 % Starting new_bool_1 with 188s (1) cores
% 0.08/0.40 % new_bool_3 with pid 1380394 completed with status 0
% 0.08/0.40 % Result found by new_bool_3
% 0.08/0.40 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.08/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.40 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.08/0.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.40 % No SInE strategy applied
% 0.08/0.40 % Search class: FGHSF-FSLM31-SFFFFFNN
% 0.08/0.40 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.40 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.40 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.08/0.40 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 198s (1) cores
% 0.08/0.40 % Starting new_bool_3 with 194s (1) cores
% 0.08/0.40 % Preprocessing time : 0.004 s
% 0.08/0.40 % Presaturation interreduction done
% 0.08/0.40
% 0.08/0.40 % Proof found!
% 0.08/0.40 % SZS status Theorem
% 0.08/0.40 % SZS output start CNFRefutation
% See solution above
% 0.08/0.40 % Parsed axioms : 40
% 0.08/0.40 % Removed by relevancy pruning/SinE : 0
% 0.08/0.40 % Initial clauses : 277
% 0.08/0.40 % Removed in clause preprocessing : 5
% 0.08/0.40 % Initial clauses in saturation : 272
% 0.08/0.40 % Processed clauses : 495
% 0.08/0.40 % ...of these trivial : 38
% 0.08/0.40 % ...subsumed : 93
% 0.08/0.40 % ...remaining for further processing : 363
% 0.08/0.40 % Other redundant clauses eliminated : 32
% 0.08/0.40 % Clauses deleted for lack of memory : 0
% 0.08/0.40 % Backward-subsumed : 43
% 0.08/0.40 % Backward-rewritten : 11
% 0.08/0.40 % Generated clauses : 234
% 0.08/0.40 % ...of the previous two non-redundant : 207
% 0.08/0.40 % ...aggressively subsumed : 0
% 0.08/0.40 % Contextual simplify-reflections : 10
% 0.08/0.40 % Paramodulations : 197
% 0.08/0.40 % Factorizations : 0
% 0.08/0.40 % NegExts : 0
% 0.08/0.40 % Equation resolutions : 32
% 0.08/0.40 % Disequality decompositions : 0
% 0.08/0.40 % Total rewrite steps : 110
% 0.08/0.40 % ...of those cached : 90
% 0.08/0.40 % Propositional unsat checks : 0
% 0.08/0.40 % Propositional check models : 0
% 0.08/0.40 % Propositional check unsatisfiable : 0
% 0.08/0.40 % Propositional clauses : 0
% 0.08/0.40 % Propositional clauses after purity: 0
% 0.08/0.40 % Propositional unsat core size : 0
% 0.08/0.40 % Propositional preprocessing time : 0.000
% 0.08/0.40 % Propositional encoding time : 0.000
% 0.08/0.40 % Propositional solver time : 0.000
% 0.08/0.40 % Success case prop preproc time : 0.000
% 0.08/0.40 % Success case prop encoding time : 0.000
% 0.08/0.40 % Success case prop solver time : 0.000
% 0.08/0.40 % Current number of processed clauses : 100
% 0.08/0.40 % Positive orientable unit clauses : 22
% 0.08/0.40 % Positive unorientable unit clauses: 0
% 0.08/0.40 % Negative unit clauses : 3
% 0.08/0.40 % Non-unit-clauses : 75
% 0.08/0.40 % Current number of unprocessed clauses: 148
% 0.08/0.40 % ...number of literals in the above : 600
% 0.08/0.40 % Current number of archived formulas : 0
% 0.08/0.40 % Current number of archived clauses : 231
% 0.08/0.40 % Clause-clause subsumption calls (NU) : 7988
% 0.08/0.40 % Rec. Clause-clause subsumption calls : 3055
% 0.08/0.40 % Non-unit clause-clause subsumptions : 120
% 0.08/0.40 % Unit Clause-clause subsumption calls : 324
% 0.08/0.40 % Rewrite failures with RHS unbound : 0
% 0.08/0.40 % BW rewrite match attempts : 5
% 0.08/0.40 % BW rewrite match successes : 5
% 0.08/0.40 % Condensation attempts : 0
% 0.08/0.40 % Condensation successes : 0
% 0.08/0.40 % Termbank termtop insertions : 22650
% 0.08/0.40 % Search garbage collected termcells : 3884
% 0.08/0.40
% 0.08/0.40 % -------------------------------------------------
% 0.08/0.40 % User time : 0.040 s
% 0.08/0.40 % System time : 0.006 s
% 0.08/0.40 % Total time : 0.046 s
% 0.08/0.40 % Maximum resident set size: 4164 pages
% 0.08/0.40
% 0.08/0.40 % -------------------------------------------------
% 0.08/0.40 % User time : 0.155 s
% 0.08/0.40 % System time : 0.018 s
% 0.08/0.40 % Total time : 0.173 s
% 0.08/0.40 % Maximum resident set size: 4608 pages
% 0.08/0.40 % E exiting
%------------------------------------------------------------------------------