%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM563+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 04:57:50 PM UTC 2026
% Result : Theorem 1.41s 1.77s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 75 ( 22 unt; 0 def)
% Number of atoms : 257 ( 52 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 319 ( 137 ~; 126 |; 34 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 94 ( 0 sgn 42 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mCountNFin,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(m__,conjecture,
( xK = sz00
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,xS)
& isCountable0(X2)
& ! [X3] :
( aElementOf0(X3,slbdtsldtrb0(X2,xK))
=> sdtlpdtrp0(xc,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
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/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(mSelNSet,axiom,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelNSet) ).
fof(m__3435,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(m__3453,hypothesis,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(mImgRng,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(c_0_14,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(c_0_15,negated_conjecture,
~ ( xK = sz00
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,xS)
& isCountable0(X2)
& ! [X3] :
( aElementOf0(X3,slbdtsldtrb0(X2,xK))
=> sdtlpdtrp0(xc,X3) = X1 ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_16,plain,
! [X161] :
( ~ aSet0(X161)
| ~ isCountable0(X161)
| ~ isFinite0(X161) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_17,plain,
! [X163,X164,X165,X166] :
( ( aSet0(X164)
| ~ aSubsetOf0(X164,X163)
| ~ aSet0(X163) )
& ( ~ aElementOf0(X165,X164)
| aElementOf0(X165,X163)
| ~ aSubsetOf0(X164,X163)
| ~ aSet0(X163) )
& ( aElementOf0(esk2_2(X163,X166),X166)
| ~ aSet0(X166)
| aSubsetOf0(X166,X163)
| ~ aSet0(X163) )
& ( ~ aElementOf0(esk2_2(X163,X166),X163)
| ~ aSet0(X166)
| aSubsetOf0(X166,X163)
| ~ aSet0(X163) ) ),
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])])])])])]) ).
fof(c_0_18,plain,
! [X260,X261,X262,X263,X264,X265] :
( ( aSet0(X262)
| X262 != slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( aSubsetOf0(X263,X260)
| ~ aElementOf0(X263,X262)
| X262 != slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( sbrdtbr0(X263) = X261
| ~ aElementOf0(X263,X262)
| X262 != slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( ~ aSubsetOf0(X264,X260)
| sbrdtbr0(X264) != X261
| aElementOf0(X264,X262)
| X262 != slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X260,X261,X265),X265)
| ~ aSubsetOf0(esk11_3(X260,X261,X265),X260)
| sbrdtbr0(esk11_3(X260,X261,X265)) != X261
| ~ aSet0(X265)
| X265 = slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X260,X261,X265),X260)
| aElementOf0(esk11_3(X260,X261,X265),X265)
| ~ aSet0(X265)
| X265 = slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X260,X261,X265)) = X261
| aElementOf0(esk11_3(X260,X261,X265),X265)
| ~ aSet0(X265)
| X265 = slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,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])])])])])]) ).
fof(c_0_19,negated_conjecture,
! [X322,X323] :
( xK = sz00
& ( aElementOf0(esk22_2(X322,X323),slbdtsldtrb0(X323,xK))
| ~ aSubsetOf0(X323,xS)
| ~ isCountable0(X323)
| ~ aElementOf0(X322,xT) )
& ( sdtlpdtrp0(xc,esk22_2(X322,X323)) != X322
| ~ aSubsetOf0(X323,xS)
| ~ isCountable0(X323)
| ~ aElementOf0(X322,xT) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).
fof(c_0_20,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
inference(fof_simplification,[status(thm)],[mSelNSet]) ).
cnf(c_0_21,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,hypothesis,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[m__3435]) ).
cnf(c_0_23,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3435]) ).
cnf(c_0_25,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_26,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[m__3453]) ).
cnf(c_0_28,negated_conjecture,
xK = sz00,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,negated_conjecture,
( aElementOf0(esk22_2(X1,X2),slbdtsldtrb0(X2,xK))
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_31,plain,
! [X269,X270] :
( ~ aSet0(X269)
| isFinite0(X269)
| ~ aElementOf0(X270,szNzAzT0)
| slbdtsldtrb0(X269,X270) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_32,hypothesis,
( ~ isFinite0(xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_33,hypothesis,
aSet0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_34,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_36,hypothesis,
slbdtsldtrb0(xS,sz00) = szDzozmdt0(xc),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_38,negated_conjecture,
( aElementOf0(esk22_2(X1,X2),slbdtsldtrb0(X2,sz00))
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[c_0_29,c_0_28]) ).
fof(c_0_39,plain,
! [X157,X158,X159] :
( ( aSet0(X157)
| X157 != slcrc0 )
& ( ~ aElementOf0(X158,X157)
| X157 != slcrc0 )
& ( ~ aSet0(X159)
| aElementOf0(esk1_1(X159),X159)
| X159 = slcrc0 ) ),
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)],[mDefEmp])])])])])]) ).
cnf(c_0_40,plain,
( aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,hypothesis,
~ isFinite0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).
cnf(c_0_43,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_44,hypothesis,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_33])]) ).
cnf(c_0_45,hypothesis,
( aElementOf0(esk22_2(X1,xS),szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_22])]) ).
cnf(c_0_46,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,hypothesis,
aSet0(szDzozmdt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_36]),c_0_37]),c_0_33])]) ).
cnf(c_0_48,hypothesis,
szDzozmdt0(xc) != slcrc0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_37]),c_0_33])]),c_0_42]) ).
fof(c_0_49,plain,
! [X224] :
( ( sbrdtbr0(X224) != sz00
| X224 = slcrc0
| ~ aSet0(X224) )
& ( X224 != slcrc0
| sbrdtbr0(X224) = sz00
| ~ aSet0(X224) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
cnf(c_0_50,hypothesis,
( sbrdtbr0(X1) = sz00
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_36]),c_0_37]),c_0_33])]) ).
cnf(c_0_51,hypothesis,
( aSubsetOf0(esk22_2(X1,xS),xS)
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,hypothesis,
aSubsetOf0(esk1_1(szDzozmdt0(xc)),xS),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_53,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,hypothesis,
( sbrdtbr0(esk22_2(X1,xS)) = sz00
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[c_0_50,c_0_45]) ).
cnf(c_0_55,hypothesis,
( aSet0(esk22_2(X1,xS))
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_51]),c_0_33])]) ).
cnf(c_0_56,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_57,hypothesis,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(split_conjunct,[status(thm)],[m__3453]) ).
cnf(c_0_58,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
fof(c_0_59,plain,
! [X303,X304] :
( ~ aFunction0(X303)
| ~ aElementOf0(X304,szDzozmdt0(X303))
| aElementOf0(sdtlpdtrp0(X303,X304),sdtlcdtrc0(X303,szDzozmdt0(X303))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgRng])])]) ).
cnf(c_0_60,hypothesis,
sbrdtbr0(esk1_1(szDzozmdt0(xc))) = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_61,hypothesis,
aSet0(esk1_1(szDzozmdt0(xc))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_52]),c_0_33])]) ).
cnf(c_0_62,negated_conjecture,
( sdtlpdtrp0(xc,esk22_2(X1,X2)) != X1
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_63,hypothesis,
( esk22_2(X1,xS) = slcrc0
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(X1,xT) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_64,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_65,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[m__3453]) ).
cnf(c_0_67,hypothesis,
esk1_1(szDzozmdt0(xc)) = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_60]),c_0_61])]) ).
cnf(c_0_68,negated_conjecture,
( ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_22])])]) ).
cnf(c_0_69,hypothesis,
( aElementOf0(sdtlpdtrp0(xc,X1),xT)
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_70,hypothesis,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_67]),c_0_47])]),c_0_48]) ).
fof(c_0_71,plain,
! [X170] :
( ~ aSet0(X170)
| aSubsetOf0(X170,X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_72,hypothesis,
~ aSubsetOf0(xS,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_73,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_74,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM563+1 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n028.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 00:45:46 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.41/1.77 % Version : CSE_E---1.7
% 1.41/1.77 % Problem : theBenchmark.p
% 1.41/1.77 % SZS status Theorem for theBenchmark.p
% 1.41/1.77 % SZS output start CNFRefutation
% See solution above
% 1.41/1.77 % Total time : 1.376s
%------------------------------------------------------------------------------