%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM623+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:49:49 PM UTC 2026
% Result : Theorem 0.30s 0.87s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 37
% Syntax : Number of formulae : 153 ( 44 unt; 0 def)
% Number of atoms : 516 ( 109 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 621 ( 258 ~; 251 |; 63 &)
% ( 10 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-3 aty)
% Number of variables : 181 ( 3 sgn 97 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X3)
& aSet0(X2)
& aSet0(X1) )
=> ( ( aSubsetOf0(X2,X3)
& aSubsetOf0(X1,X2) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( ~ ? [X2] : aElementOf0(X2,X1)
& aSet0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(m__5106,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
fof(mNATSet,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(m__5195,hypothesis,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5195) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( szszuzczcdt0(X1) != sz00
& aElementOf0(szszuzczcdt0(X1),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(mDefMin,axiom,
! [X1] :
( ( X1 != slcrc0
& aSubsetOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) )
& aElementOf0(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(m__5164,hypothesis,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& aSet0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(mCardDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( aElementOf0(X2,X1)
& isFinite0(X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aSet0(X1) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( ! [X4] :
( aElementOf0(X4,X3)
<=> ( X4 != X2
& aElementOf0(X4,X1)
& aElement0(X4) ) )
& aSet0(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(mNoScLessZr,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(m__5147,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__5093,hypothesis,
( xQ != slcrc0
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
fof(mSubASymm,axiom,
! [X1,X2] :
( ( aSet0(X2)
& aSet0(X1) )
=> ( ( aSubsetOf0(X2,X1)
& aSubsetOf0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ? [X2] :
( X1 = szszuzczcdt0(X2)
& aElementOf0(X2,szNzAzT0) )
| X1 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(mCardSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( aSubsetOf0(X2,X1)
& isFinite0(X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSub) ).
fof(mFConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( isFinite0(X2)
& aSet0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(m__5173,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5173) ).
fof(m__5217,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5217) ).
fof(m__3533,hypothesis,
( szszuzczcdt0(xk) = xK
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(m__,conjecture,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mCardSubEx,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aSet0(X1) )
=> ( ( sdtlseqdt0(X2,sbrdtbr0(X1))
& isFinite0(X1) )
=> ? [X3] :
( sbrdtbr0(X3) = X2
& aSubsetOf0(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSubEx) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( isFinite0(X2)
& aSet0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(mSubFSet,axiom,
! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(m__5401,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
fof(m__5481,hypothesis,
( aElementOf0(xx,xQ)
& aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(m__5389,hypothesis,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(c_0_37,plain,
! [X29,X30,X31] :
( aSubsetOf0(X29,X31)
| ~ aSubsetOf0(X30,X31)
| ~ aSubsetOf0(X29,X30)
| ~ aSet0(X31)
| ~ aSet0(X30)
| ~ aSet0(X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])])]) ).
fof(c_0_38,plain,
! [X19,X20,X21,X22] :
( ( ~ aSet0(X19)
| aSubsetOf0(X22,X19)
| ~ aSet0(X22)
| ~ aElementOf0(esk2_2(X19,X22),X19) )
& ( ~ aSet0(X19)
| aSubsetOf0(X22,X19)
| ~ aSet0(X22)
| aElementOf0(esk2_2(X19,X22),X22) )
& ( ~ aSet0(X19)
| ~ aSubsetOf0(X20,X19)
| aElementOf0(X21,X19)
| ~ aElementOf0(X21,X20) )
& ( ~ aSet0(X19)
| ~ aSubsetOf0(X20,X19)
| aSet0(X20) ) ),
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)],[mDefSub])])])])])])]) ).
fof(c_0_39,plain,
! [X12,X13,X14] :
( ( X14 = slcrc0
| aElementOf0(esk1_1(X14),X14)
| ~ aSet0(X14) )
& ( X12 != slcrc0
| ~ aElementOf0(X13,X12) )
& ( X12 != slcrc0
| aSet0(X12) ) ),
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)],[mDefEmp])])])])])])]) ).
cnf(c_0_40,plain,
( ~ aSubsetOf0(X2,X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aSubsetOf0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,plain,
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5106]) ).
cnf(c_0_43,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_44,plain,
( X2 != slcrc0
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
( X1 != slcrc0
| aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSubsetOf0(X3,X2)
| aSubsetOf0(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_40,c_0_41]),c_0_41]) ).
cnf(c_0_47,hypothesis,
aSubsetOf0(xP,xQ),
inference(split_conjunct,[status(thm)],[m__5195]) ).
cnf(c_0_48,hypothesis,
aSet0(xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_49,plain,
~ aElementOf0(X1,slcrc0),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1)
| aElementOf0(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_45]) ).
fof(c_0_52,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( szszuzczcdt0(X1) != sz00
& aElementOf0(szszuzczcdt0(X1),szNzAzT0) ) ),
inference(fof_simplification,[status(thm)],[mSuccNum]) ).
fof(c_0_53,plain,
! [X1] :
( ( X1 != slcrc0
& aSubsetOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) )
& aElementOf0(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[mDefMin]) ).
cnf(c_0_54,hypothesis,
( ~ aSubsetOf0(X1,xP)
| aSubsetOf0(X1,xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_55,plain,
( ~ aSet0(X1)
| aSubsetOf0(slcrc0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_56,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[m__5164]) ).
fof(c_0_57,plain,
! [X58] :
( ( ~ aElementOf0(X58,szNzAzT0)
| szszuzczcdt0(X58) != sz00 )
& ( ~ aElementOf0(X58,szNzAzT0)
| aElementOf0(szszuzczcdt0(X58),szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
fof(c_0_58,plain,
! [X87,X88] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X87,X88))) = sbrdtbr0(X87)
| ~ aElementOf0(X88,X87)
| ~ isFinite0(X87)
| ~ aSet0(X87) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])])]) ).
fof(c_0_59,plain,
! [X1,X2] :
( ( aElement0(X2)
& aSet0(X1) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( ! [X4] :
( aElementOf0(X4,X3)
<=> ( X4 != X2
& aElementOf0(X4,X1)
& aElement0(X4) ) )
& aSet0(X3) ) ) ),
inference(fof_simplification,[status(thm)],[mDefDiff]) ).
fof(c_0_60,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(c_0_61,plain,
! [X84] :
( ( ~ aSet0(X84)
| sbrdtbr0(X84) = sz00
| X84 != slcrc0 )
& ( ~ aSet0(X84)
| X84 = slcrc0
| sbrdtbr0(X84) != sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])])]) ).
fof(c_0_62,plain,
! [X46,X47] :
( sdtpldt0(sdtmndt0(X46,X47),X47) = X46
| ~ aElementOf0(X47,X46)
| ~ aSet0(X46) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])])]) ).
cnf(c_0_63,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[m__5164]) ).
cnf(c_0_64,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[m__5147]) ).
fof(c_0_65,plain,
! [X83] :
( ( ~ aSet0(X83)
| aElementOf0(sbrdtbr0(X83),szNzAzT0)
| ~ isFinite0(X83) )
& ( ~ aSet0(X83)
| isFinite0(X83)
| ~ aElementOf0(sbrdtbr0(X83),szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])])]) ).
fof(c_0_66,plain,
! [X9,X10] :
( aElement0(X10)
| ~ aElementOf0(X10,X9)
| ~ aSet0(X9) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
fof(c_0_67,plain,
! [X94,X95,X96,X97] :
( ( X94 = slcrc0
| ~ aSubsetOf0(X94,szNzAzT0)
| X97 = szmzizndt0(X94)
| ~ aElementOf0(X97,X94)
| ~ sdtlseqdt0(X97,esk7_2(X94,X97)) )
& ( X94 = slcrc0
| ~ aSubsetOf0(X94,szNzAzT0)
| X97 = szmzizndt0(X94)
| ~ aElementOf0(X97,X94)
| aElementOf0(esk7_2(X94,X97),X94) )
& ( X94 = slcrc0
| ~ aSubsetOf0(X94,szNzAzT0)
| X95 != szmzizndt0(X94)
| sdtlseqdt0(X95,X96)
| ~ aElementOf0(X96,X94) )
& ( X94 = slcrc0
| ~ aSubsetOf0(X94,szNzAzT0)
| X95 != szmzizndt0(X94)
| aElementOf0(X95,X94) ) ),
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_53])])])])])])]) ).
fof(c_0_68,hypothesis,
( xQ != slcrc0
& aSubsetOf0(xQ,xO) ),
inference(fof_simplification,[status(thm)],[m__5093]) ).
fof(c_0_69,plain,
! [X27,X28] :
( X27 = X28
| ~ aSubsetOf0(X28,X27)
| ~ aSubsetOf0(X27,X28)
| ~ aSet0(X28)
| ~ aSet0(X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])])]) ).
cnf(c_0_70,hypothesis,
aSubsetOf0(slcrc0,xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_71,plain,
( ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_72,plain,
( ~ aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_73,plain,
! [X39,X40,X41,X42,X43,X44] :
( ( ~ aElement0(X40)
| ~ aSet0(X39)
| X44 = sdtmndt0(X39,X40)
| ~ aSet0(X44)
| aElementOf0(esk4_3(X39,X40,X44),X44)
| esk4_3(X39,X40,X44) != X40 )
& ( ~ aElement0(X40)
| ~ aSet0(X39)
| X44 = sdtmndt0(X39,X40)
| ~ aSet0(X44)
| aElementOf0(esk4_3(X39,X40,X44),X44)
| aElementOf0(esk4_3(X39,X40,X44),X39) )
& ( ~ aElement0(X40)
| ~ aSet0(X39)
| X44 = sdtmndt0(X39,X40)
| ~ aSet0(X44)
| aElementOf0(esk4_3(X39,X40,X44),X44)
| aElement0(esk4_3(X39,X40,X44)) )
& ( ~ aElement0(X40)
| ~ aSet0(X39)
| X44 = sdtmndt0(X39,X40)
| ~ aSet0(X44)
| esk4_3(X39,X40,X44) = X40
| ~ aElementOf0(esk4_3(X39,X40,X44),X39)
| ~ aElement0(esk4_3(X39,X40,X44))
| ~ aElementOf0(esk4_3(X39,X40,X44),X44) )
& ( ~ aElement0(X40)
| ~ aSet0(X39)
| X41 != sdtmndt0(X39,X40)
| aElementOf0(X43,X41)
| X43 = X40
| ~ aElementOf0(X43,X39)
| ~ aElement0(X43) )
& ( ~ aElement0(X40)
| ~ aSet0(X39)
| X41 != sdtmndt0(X39,X40)
| ~ aElementOf0(X42,X41)
| X42 != X40 )
& ( ~ aElement0(X40)
| ~ aSet0(X39)
| X41 != sdtmndt0(X39,X40)
| ~ aElementOf0(X42,X41)
| aElementOf0(X42,X39) )
& ( ~ aElement0(X40)
| ~ aSet0(X39)
| X41 != sdtmndt0(X39,X40)
| ~ aElementOf0(X42,X41)
| aElement0(X42) )
& ( ~ aElement0(X40)
| ~ aSet0(X39)
| X41 != sdtmndt0(X39,X40)
| aSet0(X41) ) ),
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_59])])])])])])]) ).
fof(c_0_74,plain,
! [X67] :
( ~ sdtlseqdt0(szszuzczcdt0(X67),sz00)
| ~ aElementOf0(X67,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])]) ).
fof(c_0_75,plain,
! [X61] :
( ( ~ aElementOf0(X61,szNzAzT0)
| X61 = sz00
| X61 = szszuzczcdt0(esk5_1(X61)) )
& ( ~ aElementOf0(X61,szNzAzT0)
| X61 = sz00
| aElementOf0(esk5_1(X61),szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])])]) ).
fof(c_0_76,plain,
! [X89,X90] :
( sdtlseqdt0(sbrdtbr0(X90),sbrdtbr0(X89))
| ~ aSubsetOf0(X90,X89)
| ~ isFinite0(X89)
| ~ aSet0(X89) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])])]) ).
cnf(c_0_77,plain,
( ~ aSet0(X1)
| X1 != slcrc0
| sbrdtbr0(X1) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_78,plain,
! [X54,X55] :
( isFinite0(sdtpldt0(X55,X54))
| ~ isFinite0(X55)
| ~ aSet0(X55)
| ~ aElement0(X54) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])])]) ).
cnf(c_0_79,plain,
( ~ aElementOf0(X2,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_80,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_81,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[m__5173]) ).
cnf(c_0_82,plain,
( ~ aSet0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_83,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[m__5217]) ).
cnf(c_0_84,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_85,plain,
( ~ aElementOf0(X2,X1)
| ~ aSet0(X1)
| aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_86,plain,
( ~ aSubsetOf0(X2,szNzAzT0)
| X3 != szmzizndt0(X2)
| ~ aElementOf0(X1,X2)
| X2 = slcrc0
| sdtlseqdt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_87,hypothesis,
( xQ != slcrc0
& aSubsetOf0(xQ,xO) ),
inference(fof_nnf,[status(thm)],[c_0_68]) ).
cnf(c_0_88,plain,
( ~ aSet0(X3)
| ~ aSubsetOf0(X2,X3)
| ~ aElementOf0(X1,X2)
| aElementOf0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_89,negated_conjecture,
xp != xx,
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_90,plain,
( ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_91,hypothesis,
( ~ aSubsetOf0(X1,slcrc0)
| aSubsetOf0(X1,xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_70]),c_0_48])]) ).
fof(c_0_92,plain,
! [X91,X92] :
( ( ~ aElementOf0(X92,szNzAzT0)
| ~ aSet0(X91)
| ~ sdtlseqdt0(X92,sbrdtbr0(X91))
| ~ isFinite0(X91)
| sbrdtbr0(esk6_2(X91,X92)) = X92 )
& ( ~ aElementOf0(X92,szNzAzT0)
| ~ aSet0(X91)
| ~ sdtlseqdt0(X92,sbrdtbr0(X91))
| ~ isFinite0(X91)
| aSubsetOf0(esk6_2(X91,X92),X91) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])])]) ).
cnf(c_0_93,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(X1,X2)),szNzAzT0)
| ~ isFinite0(X1)
| sbrdtbr0(X1) != sz00 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_94,plain,
( ~ aSet0(X1)
| ~ isFinite0(X1)
| aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_95,plain,
! [X56,X57] :
( isFinite0(sdtmndt0(X57,X56))
| ~ isFinite0(X57)
| ~ aSet0(X57)
| ~ aElement0(X56) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])])]) ).
cnf(c_0_96,plain,
( ~ aElement0(X3)
| ~ aSet0(X2)
| X1 != sdtmndt0(X2,X3)
| aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_97,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),sz00)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_98,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 = sz00
| X1 = szszuzczcdt0(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_99,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_100,plain,
( ~ aSubsetOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_101,plain,
sbrdtbr0(slcrc0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_77]),c_0_51])]) ).
cnf(c_0_102,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]) ).
fof(c_0_103,plain,
! [X24,X25] :
( isFinite0(X25)
| ~ aSubsetOf0(X25,X24)
| ~ isFinite0(X24)
| ~ aSet0(X24) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])])]) ).
cnf(c_0_104,plain,
( ~ isFinite0(X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| isFinite0(sdtpldt0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_105,hypothesis,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_48])]) ).
cnf(c_0_106,hypothesis,
isFinite0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_56])]) ).
cnf(c_0_107,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_81]),c_0_48])]) ).
fof(c_0_108,plain,
! [X72,X73] :
( X72 = X73
| ~ sdtlseqdt0(X73,X72)
| ~ sdtlseqdt0(X72,X73)
| ~ aElementOf0(X73,szNzAzT0)
| ~ aElementOf0(X72,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])])]) ).
cnf(c_0_109,plain,
( ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| sdtlseqdt0(szmzizndt0(X1),X2)
| X1 = slcrc0 ),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_110,hypothesis,
xQ != slcrc0,
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_111,hypothesis,
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_42]),c_0_43])]) ).
fof(c_0_112,negated_conjecture,
xp != xx,
inference(fof_simplification,[status(thm)],[c_0_89]) ).
cnf(c_0_113,plain,
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1)
| X1 = X2 ),
inference(csr,[status(thm)],[c_0_90,c_0_41]) ).
cnf(c_0_114,hypothesis,
( ~ aSubsetOf0(X1,slcrc0)
| aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_91]),c_0_48])]) ).
cnf(c_0_115,plain,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ sdtlseqdt0(X2,sbrdtbr0(X1))
| ~ isFinite0(X1)
| aSubsetOf0(esk6_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_116,plain,
( ~ aSet0(X1)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ isFinite0(sdtmndt0(X1,X2))
| sbrdtbr0(X1) != sz00 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_117,plain,
( ~ isFinite0(X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| isFinite0(sdtmndt0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_118,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(er,[status(thm)],[c_0_96]) ).
cnf(c_0_119,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| X1 = sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_120,plain,
( ~ aSubsetOf0(X1,slcrc0)
| sdtlseqdt0(sbrdtbr0(X1),sz00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_51])]) ).
cnf(c_0_121,plain,
( ~ aSubsetOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_122,hypothesis,
isFinite0(xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_107]),c_0_56])]) ).
cnf(c_0_123,plain,
( ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_124,hypothesis,
( ~ aElementOf0(X1,xQ)
| sdtlseqdt0(xp,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_64]),c_0_42])]),c_0_110]) ).
cnf(c_0_125,hypothesis,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[c_0_111,c_0_81]) ).
cnf(c_0_126,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[m__5401]) ).
fof(c_0_127,negated_conjecture,
xp != xx,
inference(fof_nnf,[status(thm)],[c_0_112]) ).
cnf(c_0_128,plain,
( ~ aSet0(X1)
| ~ aSubsetOf0(X1,slcrc0)
| X1 = slcrc0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_55]),c_0_51])]) ).
cnf(c_0_129,hypothesis,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| aSet0(esk6_2(slcrc0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_101]),c_0_102]),c_0_51])]) ).
cnf(c_0_130,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1)
| sbrdtbr0(X1) != sz00 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_85]) ).
cnf(c_0_131,hypothesis,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[m__5481]) ).
cnf(c_0_132,plain,
( ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSubsetOf0(X1,slcrc0)
| sbrdtbr0(X1) = sz00 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_133,hypothesis,
( ~ aSubsetOf0(X1,slcrc0)
| isFinite0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_91]),c_0_122]),c_0_48])]) ).
cnf(c_0_134,hypothesis,
( ~ aElementOf0(X1,xQ)
| ~ sdtlseqdt0(X1,xp)
| X1 = xp ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125])]),c_0_111]) ).
cnf(c_0_135,hypothesis,
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| sdtlseqdt0(xx,X1)
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(spm,[status(thm)],[c_0_109,c_0_126]) ).
cnf(c_0_136,hypothesis,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[m__5481]) ).
cnf(c_0_137,negated_conjecture,
xp != xx,
inference(split_conjunct,[status(thm)],[c_0_127]) ).
fof(c_0_138,hypothesis,
! [X184] :
( ( ~ aElementOf0(X184,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X184)) )
& ( ~ aElementOf0(X184,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X184),szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])]) ).
cnf(c_0_139,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| esk6_2(slcrc0,X1) = slcrc0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_115]),c_0_101]),c_0_102]),c_0_51])]),c_0_129]) ).
fof(c_0_140,plain,
! [X66] :
( sdtlseqdt0(sz00,X66)
| ~ aElementOf0(X66,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])])]) ).
cnf(c_0_141,hypothesis,
( ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ isFinite0(sdtlpdtrp0(xN,xm))
| sbrdtbr0(sdtlpdtrp0(xN,xm)) != sz00 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_142,plain,
( ~ aSubsetOf0(X1,slcrc0)
| sbrdtbr0(X1) = sz00 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_94]),c_0_114]),c_0_133]) ).
cnf(c_0_143,hypothesis,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_131])]),c_0_137]) ).
cnf(c_0_144,hypothesis,
( ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_145,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5389]) ).
cnf(c_0_146,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| aSubsetOf0(slcrc0,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_139]),c_0_101]),c_0_102]),c_0_51])]) ).
cnf(c_0_147,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_148,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_149,hypothesis,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),slcrc0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_114]),c_0_133]) ).
cnf(c_0_150,hypothesis,
sdtlpdtrp0(xN,xm) = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).
cnf(c_0_151,plain,
aSubsetOf0(slcrc0,slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148])]) ).
cnf(c_0_152,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150]),c_0_151])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM623+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.45 % Computer : n019.cluster.edu
% 0.14/0.45 % Model : x86_64 x86_64
% 0.14/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.45 % Memory : 8046.5625MB
% 0.14/0.45 % OS : Linux 6.8.0-71-generic
% 0.14/0.45 % CPULimit : 300
% 0.14/0.45 % WCLimit : 300
% 0.14/0.45 % DateTime : Mon Sep 21 02:45:35 UTC 2026
% 0.14/0.45 % CPUTime :
% 0.14/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.52 Running first-order theorem proving
% 0.20/0.52 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/benchmark/theBenchmark.p
% 0.30/0.87 % Version: 3.5.1
% 0.30/0.87 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.30/0.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.87 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.30/0.87 % Starting new_bool_3 with 300s (1) cores
% 0.30/0.87 % Starting new_bool_1 with 300s (1) cores
% 0.30/0.87 % Starting sh5l with 300s (1) cores
% 0.30/0.87 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1524200 completed with status 0
% 0.30/0.87 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.30/0.87 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.30/0.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.87 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.30/0.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.30/0.87 % No SInE strategy applied
% 0.30/0.87 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.30/0.87 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.30/0.87 % Starting SubtermCWHack with 136s (1) cores
% 0.30/0.87 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.30/0.87 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.30/0.87 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.30/0.87 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.30/0.87 % SAT001_MinMin_p005000_rr_RG with pid 1524208 completed with status 0
% 0.30/0.87 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.30/0.87 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.30/0.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.87 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.30/0.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.30/0.87 % No SInE strategy applied
% 0.30/0.87 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.30/0.87 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.30/0.87 % Starting SubtermCWHack with 136s (1) cores
% 0.30/0.87 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.30/0.87 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.30/0.87 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.30/0.87 % Preprocessing time : 0.007 s
% 0.30/0.87 % Presaturation interreduction done
% 0.30/0.87
% 0.30/0.87 % Proof found!
% 0.30/0.87 % SZS status Theorem
% 0.30/0.87 % SZS output start CNFRefutation
% See solution above
% 0.30/0.87 % Parsed axioms : 120
% 0.30/0.87 % Removed by relevancy pruning/SinE : 0
% 0.30/0.87 % Initial clauses : 229
% 0.30/0.87 % Removed in clause preprocessing : 7
% 0.30/0.87 % Initial clauses in saturation : 222
% 0.30/0.87 % Processed clauses : 1988
% 0.30/0.87 % ...of these trivial : 19
% 0.30/0.87 % ...subsumed : 776
% 0.30/0.87 % ...remaining for further processing : 1193
% 0.30/0.87 % Other redundant clauses eliminated : 67
% 0.30/0.87 % Clauses deleted for lack of memory : 0
% 0.30/0.87 % Backward-subsumed : 59
% 0.30/0.87 % Backward-rewritten : 35
% 0.30/0.87 % Generated clauses : 4426
% 0.30/0.87 % ...of the previous two non-redundant : 3986
% 0.30/0.87 % ...aggressively subsumed : 0
% 0.30/0.87 % Contextual simplify-reflections : 118
% 0.30/0.87 % Paramodulations : 4360
% 0.30/0.87 % Factorizations : 0
% 0.30/0.87 % NegExts : 0
% 0.30/0.87 % Equation resolutions : 71
% 0.30/0.87 % Disequality decompositions : 0
% 0.30/0.87 % Total rewrite steps : 3374
% 0.30/0.87 % ...of those cached : 3254
% 0.30/0.87 % Propositional unsat checks : 0
% 0.30/0.87 % Propositional check models : 0
% 0.30/0.87 % Propositional check unsatisfiable : 0
% 0.30/0.87 % Propositional clauses : 0
% 0.30/0.87 % Propositional clauses after purity: 0
% 0.30/0.87 % Propositional unsat core size : 0
% 0.30/0.87 % Propositional preprocessing time : 0.000
% 0.30/0.87 % Propositional encoding time : 0.000
% 0.30/0.87 % Propositional solver time : 0.000
% 0.30/0.87 % Success case prop preproc time : 0.000
% 0.30/0.87 % Success case prop encoding time : 0.000
% 0.30/0.87 % Success case prop solver time : 0.000
% 0.30/0.87 % Current number of processed clauses : 839
% 0.30/0.87 % Positive orientable unit clauses : 140
% 0.30/0.87 % Positive unorientable unit clauses: 0
% 0.30/0.87 % Negative unit clauses : 53
% 0.30/0.87 % Non-unit-clauses : 646
% 0.30/0.87 % Current number of unprocessed clauses: 2392
% 0.30/0.87 % ...number of literals in the above : 13246
% 0.30/0.87 % Current number of archived formulas : 0
% 0.30/0.87 % Current number of archived clauses : 314
% 0.30/0.87 % Clause-clause subsumption calls (NU) : 55766
% 0.30/0.87 % Rec. Clause-clause subsumption calls : 18812
% 0.30/0.87 % Non-unit clause-clause subsumptions : 559
% 0.30/0.87 % Unit Clause-clause subsumption calls : 3552
% 0.30/0.87 % Rewrite failures with RHS unbound : 0
% 0.30/0.87 % BW rewrite match attempts : 25
% 0.30/0.87 % BW rewrite match successes : 21
% 0.30/0.87 % Condensation attempts : 0
% 0.30/0.87 % Condensation successes : 0
% 0.30/0.87 % Termbank termtop insertions : 94871
% 0.30/0.87 % Search garbage collected termcells : 3742
% 0.30/0.87
% 0.30/0.87 % -------------------------------------------------
% 0.30/0.87 % User time : 0.292 s
% 0.30/0.87 % System time : 0.021 s
% 0.30/0.87 % Total time : 0.312 s
% 0.30/0.87 % Maximum resident set size: 4292 pages
% 0.30/0.87
% 0.30/0.87 % -------------------------------------------------
% 0.30/0.87 % User time : 1.385 s
% 0.30/0.87 % System time : 0.076 s
% 0.30/0.87 % Total time : 1.461 s
% 0.30/0.87 % Maximum resident set size: 4864 pages
% 0.30/0.87 % E exiting
%------------------------------------------------------------------------------