%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM629+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.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 : Tue May 5 04:58:11 PM UTC 2026
% Result : Theorem 1.64s 1.80s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 24 unt; 0 def)
% Number of atoms : 269 ( 50 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 338 ( 135 ~; 142 |; 46 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 14 con; 0-3 aty)
% Number of variables : 71 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(m__5585,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5585) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(m__5182,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).
fof(m__4891,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(m__5334,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5334) ).
fof(m__,conjecture,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__5217,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5217) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(m__5164,hypothesis,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(c_0_17,plain,
! [X206,X207,X208,X209,X210,X211] :
( ( aSet0(X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElement0(X209)
| ~ aElementOf0(X209,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElementOf0(X209,X206)
| ~ aElementOf0(X209,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( X209 != X207
| ~ aElementOf0(X209,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( ~ aElement0(X210)
| ~ aElementOf0(X210,X206)
| X210 = X207
| aElementOf0(X210,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( ~ aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aElement0(esk4_3(X206,X207,X211))
| ~ aElementOf0(esk4_3(X206,X207,X211),X206)
| esk4_3(X206,X207,X211) = X207
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElement0(esk4_3(X206,X207,X211))
| aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElementOf0(esk4_3(X206,X207,X211),X206)
| aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( esk4_3(X206,X207,X211) != X207
| aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) ) ),
inference(distribute,[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)],[mDefDiff])])])])])]) ).
fof(c_0_18,hypothesis,
! [X366] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( ~ aElementOf0(X366,szNzAzT0)
| sdtlpdtrp0(xe,X366) = szmzizndt0(sdtlpdtrp0(xN,X366)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])]) ).
fof(c_0_19,plain,
! [X178,X179] :
( ~ aSet0(X178)
| ~ aElementOf0(X179,X178)
| aElement0(X179) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(c_0_20,hypothesis,
! [X345] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X345)),sdtmndt0(sdtlpdtrp0(xN,X345),szmzizndt0(sdtlpdtrp0(xN,X345))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X345),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X345))
| ~ aElementOf0(X345,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X345)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X345),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X345))
| ~ aElementOf0(X345,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])]) ).
fof(c_0_21,hypothesis,
! [X346] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X346),szNzAzT0)
| ~ aElementOf0(X346,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X346))
| ~ aElementOf0(X346,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
cnf(c_0_22,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(split_conjunct,[status(thm)],[m__5585]) ).
cnf(c_0_24,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_26,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_27,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,hypothesis,
aElementOf0(xp,xO),
inference(split_conjunct,[status(thm)],[m__5182]) ).
cnf(c_0_29,hypothesis,
aSet0(xO),
inference(split_conjunct,[status(thm)],[m__4891]) ).
fof(c_0_30,plain,
! [X186,X187,X188,X189] :
( ( aSet0(X187)
| ~ aSubsetOf0(X187,X186)
| ~ aSet0(X186) )
& ( ~ aElementOf0(X188,X187)
| aElementOf0(X188,X186)
| ~ aSubsetOf0(X187,X186)
| ~ aSet0(X186) )
& ( aElementOf0(esk2_2(X186,X189),X189)
| ~ aSet0(X189)
| aSubsetOf0(X189,X186)
| ~ aSet0(X186) )
& ( ~ aElementOf0(esk2_2(X186,X189),X186)
| ~ aSet0(X189)
| aSubsetOf0(X189,X186)
| ~ aSet0(X186) ) ),
inference(distribute,[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)],[mDefSub])])])])])]) ).
cnf(c_0_31,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_35,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_36,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_37,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_39,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_40,hypothesis,
( aSet0(xD)
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_41,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_38])]) ).
fof(c_0_42,plain,
! [X283,X284,X285,X286,X287,X288] :
( ( aSet0(X285)
| X285 != slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( aSubsetOf0(X286,X283)
| ~ aElementOf0(X286,X285)
| X285 != slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( sbrdtbr0(X286) = X284
| ~ aElementOf0(X286,X285)
| X285 != slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( ~ aSubsetOf0(X287,X283)
| sbrdtbr0(X287) != X284
| aElementOf0(X287,X285)
| X285 != slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X283,X284,X288),X288)
| ~ aSubsetOf0(esk11_3(X283,X284,X288),X283)
| sbrdtbr0(esk11_3(X283,X284,X288)) != X284
| ~ aSet0(X288)
| X288 = slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X283,X284,X288),X283)
| aElementOf0(esk11_3(X283,X284,X288),X288)
| ~ aSet0(X288)
| X288 = slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X283,X284,X288)) = X284
| aElementOf0(esk11_3(X283,X284,X288),X288)
| ~ aSet0(X288)
| X288 = slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) ) ),
inference(distribute,[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)],[mDefSel])])])])])]) ).
cnf(c_0_43,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[m__5334]) ).
cnf(c_0_45,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_23]),c_0_26])]) ).
cnf(c_0_46,hypothesis,
aSet0(xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_26])]) ).
cnf(c_0_47,plain,
( aElementOf0(X1,X4)
| ~ aSubsetOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X4 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X1,xP)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,hypothesis,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_45]),c_0_46])]) ).
fof(c_0_50,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_51,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(X1)))
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_47])]) ).
cnf(c_0_52,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[m__5217]) ).
cnf(c_0_53,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_54,hypothesis,
( aElementOf0(X1,xD)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_45]),c_0_46])]) ).
cnf(c_0_55,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).
cnf(c_0_56,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,hypothesis,
( aElementOf0(xP,slbdtsldtrb0(X1,xk))
| ~ aSubsetOf0(xP,X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_58,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_59,hypothesis,
( aElementOf0(X1,xD)
| ~ aElementOf0(X1,xP) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( ~ aSubsetOf0(xP,xD)
| ~ aSet0(xD) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,hypothesis,
( aSubsetOf0(X1,xD)
| ~ aElementOf0(esk2_2(xD,X1),xP)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_46])]) ).
cnf(c_0_62,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_63,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[m__5164]) ).
cnf(c_0_64,negated_conjecture,
~ aSubsetOf0(xP,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_46])]) ).
cnf(c_0_65,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_46])]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM629+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n003.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:52:11 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.64/1.80 % Version : CSE_E---1.7
% 1.64/1.80 % Problem : theBenchmark.p
% 1.64/1.80 % SZS status Theorem for theBenchmark.p
% 1.64/1.80 % SZS output start CNFRefutation
% See solution above
% 1.64/1.81 % Total time : 1.370s
%------------------------------------------------------------------------------