TSTP Solution File: NUM621+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM621+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n013.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 : Thu Aug 31 10:39:21 EDT 2023
% Result : Theorem 0.86s 0.97s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 98
% Syntax : Number of formulae : 204 ( 48 unt; 67 typ; 0 def)
% Number of atoms : 494 ( 123 equ)
% Maximal formula atoms : 54 ( 3 avg)
% Number of connectives : 602 ( 245 ~; 256 |; 68 &)
% ( 10 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 89 ( 48 >; 41 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 19 con; 0-4 aty)
% Number of variables : 146 ( 1 sgn; 76 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aSet0: $i > $o ).
tff(decl_23,type,
aElement0: $i > $o ).
tff(decl_24,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_25,type,
isFinite0: $i > $o ).
tff(decl_26,type,
slcrc0: $i ).
tff(decl_27,type,
isCountable0: $i > $o ).
tff(decl_28,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(decl_29,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_30,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(decl_31,type,
szNzAzT0: $i ).
tff(decl_32,type,
sz00: $i ).
tff(decl_33,type,
szszuzczcdt0: $i > $i ).
tff(decl_34,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_35,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_36,type,
sbrdtbr0: $i > $i ).
tff(decl_37,type,
szmzizndt0: $i > $i ).
tff(decl_38,type,
szmzazxdt0: $i > $i ).
tff(decl_39,type,
slbdtrb0: $i > $i ).
tff(decl_40,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff(decl_41,type,
aFunction0: $i > $o ).
tff(decl_42,type,
szDzozmdt0: $i > $i ).
tff(decl_43,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff(decl_44,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(decl_45,type,
sdtlcdtrc0: ( $i * $i ) > $i ).
tff(decl_46,type,
sdtexdt0: ( $i * $i ) > $i ).
tff(decl_47,type,
szDzizrdt0: $i > $i ).
tff(decl_48,type,
xT: $i ).
tff(decl_49,type,
xK: $i ).
tff(decl_50,type,
xS: $i ).
tff(decl_51,type,
xc: $i ).
tff(decl_52,type,
xk: $i ).
tff(decl_53,type,
xN: $i ).
tff(decl_54,type,
xC: $i ).
tff(decl_55,type,
xe: $i ).
tff(decl_56,type,
xd: $i ).
tff(decl_57,type,
xO: $i ).
tff(decl_58,type,
xQ: $i ).
tff(decl_59,type,
xp: $i ).
tff(decl_60,type,
xP: $i ).
tff(decl_61,type,
xn: $i ).
tff(decl_62,type,
xx: $i ).
tff(decl_63,type,
xm: $i ).
tff(decl_64,type,
esk1_1: $i > $i ).
tff(decl_65,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk5_1: $i > $i ).
tff(decl_69,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk10_1: $i > $i ).
tff(decl_74,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk22_1: $i > $i ).
tff(decl_86,type,
esk23_1: $i > $i ).
tff(decl_87,type,
esk24_1: $i > $i ).
tff(decl_88,type,
esk25_1: $i > $i ).
fof(m__4982,hypothesis,
! [X1] :
( aElementOf0(X1,xO)
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
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(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(m__5365,hypothesis,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegFin) ).
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(m__3821,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& X1 != X2 )
=> szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3821) ).
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(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
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__5164,hypothesis,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(m__5147,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(m__5093,hypothesis,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
fof(m__4891,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
fof(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(m__5389,hypothesis,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
fof(m__5401,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
fof(m__,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__5173,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5173) ).
fof(m__5182,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
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(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__5106,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(m__5348,hypothesis,
aElementOf0(xx,xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(c_0_31,hypothesis,
! [X198] :
( ( aElementOf0(esk25_1(X198),szNzAzT0)
| ~ aElementOf0(X198,xO) )
& ( aElementOf0(esk25_1(X198),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X198,xO) )
& ( sdtlpdtrp0(xe,esk25_1(X198)) = X198
| ~ aElementOf0(X198,xO) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4982])])])]) ).
fof(c_0_32,plain,
! [X98,X99,X100,X101,X102] :
( ( aSet0(X99)
| X99 != slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( aElementOf0(X100,szNzAzT0)
| ~ aElementOf0(X100,X99)
| X99 != slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X100),X98)
| ~ aElementOf0(X100,X99)
| X99 != slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( ~ aElementOf0(X101,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X101),X98)
| aElementOf0(X101,X99)
| X99 != slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X98,X102),X102)
| ~ aElementOf0(esk9_2(X98,X102),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X98,X102)),X98)
| ~ aSet0(X102)
| X102 = slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( aElementOf0(esk9_2(X98,X102),szNzAzT0)
| aElementOf0(esk9_2(X98,X102),X102)
| ~ aSet0(X102)
| X102 = slbdtrb0(X98)
| ~ aElementOf0(X98,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X98,X102)),X98)
| aElementOf0(esk9_2(X98,X102),X102)
| ~ aSet0(X102)
| X102 = slbdtrb0(X98)
| ~ aElementOf0(X98,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)],[mDefSeg])])])])])]) ).
fof(c_0_33,hypothesis,
! [X195] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( ~ aElementOf0(X195,szNzAzT0)
| sdtlpdtrp0(xe,X195) = szmzizndt0(sdtlpdtrp0(xN,X195)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])]) ).
fof(c_0_34,plain,
! [X75] :
( ( ~ aElementOf0(sbrdtbr0(X75),szNzAzT0)
| isFinite0(X75)
| ~ aSet0(X75) )
& ( ~ isFinite0(X75)
| aElementOf0(sbrdtbr0(X75),szNzAzT0)
| ~ aSet0(X75) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(c_0_35,plain,
! [X111] :
( ~ aElementOf0(X111,szNzAzT0)
| sbrdtbr0(slbdtrb0(X111)) = X111 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
cnf(c_0_36,hypothesis,
( aElementOf0(esk25_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,hypothesis,
aElementOf0(xx,xO),
inference(split_conjunct,[status(thm)],[m__5365]) ).
fof(c_0_38,plain,
! [X104] :
( ~ aElementOf0(X104,szNzAzT0)
| isFinite0(slbdtrb0(X104)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
cnf(c_0_39,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_40,plain,
! [X15,X16,X17,X18] :
( ( aSet0(X16)
| ~ aSubsetOf0(X16,X15)
| ~ aSet0(X15) )
& ( ~ aElementOf0(X17,X16)
| aElementOf0(X17,X15)
| ~ aSubsetOf0(X16,X15)
| ~ aSet0(X15) )
& ( aElementOf0(esk2_2(X15,X18),X18)
| ~ aSet0(X18)
| aSubsetOf0(X18,X15)
| ~ aSet0(X15) )
& ( ~ aElementOf0(esk2_2(X15,X18),X15)
| ~ aSet0(X18)
| aSubsetOf0(X18,X15)
| ~ aSet0(X15) ) ),
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_41,hypothesis,
! [X178,X179] :
( ~ aElementOf0(X178,szNzAzT0)
| ~ aElementOf0(X179,szNzAzT0)
| X178 = X179
| szmzizndt0(sdtlpdtrp0(xN,X178)) != szmzizndt0(sdtlpdtrp0(xN,X179)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3821])]) ).
cnf(c_0_42,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,hypothesis,
aElementOf0(esk25_1(xx),szNzAzT0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,hypothesis,
( sdtlpdtrp0(xe,esk25_1(X1)) = X1
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_39]) ).
fof(c_0_49,hypothesis,
! [X175] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X175),szNzAzT0)
| ~ aElementOf0(X175,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X175))
| ~ aElementOf0(X175,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
fof(c_0_50,plain,
! [X28,X29,X30,X31,X32,X33] :
( ( aSet0(X30)
| X30 != sdtpldt0(X28,X29)
| ~ aSet0(X28)
| ~ aElement0(X29) )
& ( aElement0(X31)
| ~ aElementOf0(X31,X30)
| X30 != sdtpldt0(X28,X29)
| ~ aSet0(X28)
| ~ aElement0(X29) )
& ( aElementOf0(X31,X28)
| X31 = X29
| ~ aElementOf0(X31,X30)
| X30 != sdtpldt0(X28,X29)
| ~ aSet0(X28)
| ~ aElement0(X29) )
& ( ~ aElementOf0(X32,X28)
| ~ aElement0(X32)
| aElementOf0(X32,X30)
| X30 != sdtpldt0(X28,X29)
| ~ aSet0(X28)
| ~ aElement0(X29) )
& ( X32 != X29
| ~ aElement0(X32)
| aElementOf0(X32,X30)
| X30 != sdtpldt0(X28,X29)
| ~ aSet0(X28)
| ~ aElement0(X29) )
& ( ~ aElementOf0(esk3_3(X28,X29,X33),X28)
| ~ aElement0(esk3_3(X28,X29,X33))
| ~ aElementOf0(esk3_3(X28,X29,X33),X33)
| ~ aSet0(X33)
| X33 = sdtpldt0(X28,X29)
| ~ aSet0(X28)
| ~ aElement0(X29) )
& ( esk3_3(X28,X29,X33) != X29
| ~ aElement0(esk3_3(X28,X29,X33))
| ~ aElementOf0(esk3_3(X28,X29,X33),X33)
| ~ aSet0(X33)
| X33 = sdtpldt0(X28,X29)
| ~ aSet0(X28)
| ~ aElement0(X29) )
& ( aElement0(esk3_3(X28,X29,X33))
| aElementOf0(esk3_3(X28,X29,X33),X33)
| ~ aSet0(X33)
| X33 = sdtpldt0(X28,X29)
| ~ aSet0(X28)
| ~ aElement0(X29) )
& ( aElementOf0(esk3_3(X28,X29,X33),X28)
| esk3_3(X28,X29,X33) = X29
| aElementOf0(esk3_3(X28,X29,X33),X33)
| ~ aSet0(X33)
| X33 = sdtpldt0(X28,X29)
| ~ aSet0(X28)
| ~ aElement0(X29) ) ),
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)],[mDefCons])])])])])]) ).
fof(c_0_51,plain,
! [X7,X8] :
( ~ aSet0(X7)
| ~ aElementOf0(X8,X7)
| aElement0(X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(c_0_52,plain,
! [X42,X43] :
( ~ aSet0(X42)
| ~ aElementOf0(X43,X42)
| sdtpldt0(sdtmndt0(X42,X43),X43) = X42 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
cnf(c_0_53,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[m__5164]) ).
cnf(c_0_54,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[m__5147]) ).
cnf(c_0_55,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_56,hypothesis,
aSubsetOf0(xQ,xO),
inference(split_conjunct,[status(thm)],[m__5093]) ).
cnf(c_0_57,hypothesis,
aSet0(xO),
inference(split_conjunct,[status(thm)],[m__4891]) ).
fof(c_0_58,plain,
! [X86,X87,X88,X89] :
( ( aElementOf0(X87,X86)
| X87 != szmzizndt0(X86)
| ~ aSubsetOf0(X86,szNzAzT0)
| X86 = slcrc0 )
& ( ~ aElementOf0(X88,X86)
| sdtlseqdt0(X87,X88)
| X87 != szmzizndt0(X86)
| ~ aSubsetOf0(X86,szNzAzT0)
| X86 = slcrc0 )
& ( aElementOf0(esk7_2(X86,X89),X86)
| ~ aElementOf0(X89,X86)
| X89 = szmzizndt0(X86)
| ~ aSubsetOf0(X86,szNzAzT0)
| X86 = slcrc0 )
& ( ~ sdtlseqdt0(X89,esk7_2(X86,X89))
| ~ aElementOf0(X89,X86)
| X89 = szmzizndt0(X86)
| ~ aSubsetOf0(X86,szNzAzT0)
| X86 = 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)],[mDefMin])])])])])]) ).
fof(c_0_59,plain,
! [X9,X10,X11] :
( ( aSet0(X9)
| X9 != slcrc0 )
& ( ~ aElementOf0(X10,X9)
| X9 != slcrc0 )
& ( ~ aSet0(X11)
| aElementOf0(esk1_1(X11),X11)
| X11 = 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_60,hypothesis,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_61,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5389]) ).
cnf(c_0_62,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[m__5401]) ).
cnf(c_0_63,hypothesis,
( szmzizndt0(sdtlpdtrp0(xN,sbrdtbr0(X1))) = sdtlpdtrp0(xe,sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_64,hypothesis,
sbrdtbr0(slbdtrb0(esk25_1(xx))) = esk25_1(xx),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_65,hypothesis,
sdtlpdtrp0(xe,esk25_1(xx)) = xx,
inference(spm,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_66,hypothesis,
isFinite0(slbdtrb0(esk25_1(xx))),
inference(spm,[status(thm)],[c_0_47,c_0_45]) ).
cnf(c_0_67,hypothesis,
aSet0(slbdtrb0(esk25_1(xx))),
inference(spm,[status(thm)],[c_0_48,c_0_45]) ).
fof(c_0_68,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_69,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_70,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_71,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_72,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_73,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[m__5173]) ).
cnf(c_0_74,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_75,hypothesis,
aSet0(xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_76,hypothesis,
aElementOf0(xp,xO),
inference(split_conjunct,[status(thm)],[m__5182]) ).
cnf(c_0_77,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_78,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_79,hypothesis,
( X1 = xm
| szmzizndt0(sdtlpdtrp0(xN,X1)) != xx
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_80,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,esk25_1(xx))) = xx,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]),c_0_67])]) ).
fof(c_0_81,negated_conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
& ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(fof_nnf,[status(thm)],[c_0_68]) ).
cnf(c_0_82,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(spm,[status(thm)],[c_0_69,c_0_61]) ).
cnf(c_0_83,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_84,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_85,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_86,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_87,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_88,hypothesis,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_89,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_76]),c_0_57])]) ).
cnf(c_0_90,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[m__5164]) ).
fof(c_0_91,plain,
! [X35,X36,X37,X38,X39,X40] :
( ( aSet0(X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElement0(X38)
| ~ aElementOf0(X38,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElementOf0(X38,X35)
| ~ aElementOf0(X38,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( X38 != X36
| ~ aElementOf0(X38,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( ~ aElement0(X39)
| ~ aElementOf0(X39,X35)
| X39 = X36
| aElementOf0(X39,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( ~ aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aElement0(esk4_3(X35,X36,X40))
| ~ aElementOf0(esk4_3(X35,X36,X40),X35)
| esk4_3(X35,X36,X40) = X36
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElement0(esk4_3(X35,X36,X40))
| aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElementOf0(esk4_3(X35,X36,X40),X35)
| aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( esk4_3(X35,X36,X40) != X36
| aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) ) ),
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])])])])])]) ).
cnf(c_0_92,plain,
( sdtlseqdt0(X1,X2)
| X1 != szmzizndt0(X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,X3) ),
inference(csr,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_93,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,esk25_1(xx)),szNzAzT0),
inference(spm,[status(thm)],[c_0_69,c_0_45]) ).
cnf(c_0_94,hypothesis,
esk25_1(xx) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_45]),c_0_80])]) ).
cnf(c_0_95,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_96,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_97,hypothesis,
aSet0(sdtlpdtrp0(xN,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_82]),c_0_83])]) ).
cnf(c_0_98,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_84]) ).
cnf(c_0_99,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0),
inference(spm,[status(thm)],[c_0_69,c_0_85]) ).
cnf(c_0_100,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xn)) = xp,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_85]),c_0_86]) ).
cnf(c_0_101,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5106]) ).
cnf(c_0_102,hypothesis,
( aElementOf0(X1,X2)
| X2 != xQ
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_90])]) ).
cnf(c_0_103,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
fof(c_0_104,plain,
! [X66,X67] :
( ~ aElementOf0(X66,szNzAzT0)
| ~ aElementOf0(X67,szNzAzT0)
| ~ sdtlseqdt0(X66,X67)
| ~ sdtlseqdt0(X67,X66)
| X66 = X67 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
cnf(c_0_105,hypothesis,
( sdtlseqdt0(X1,X2)
| X1 != xx
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xm)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_80]),c_0_93])]),c_0_94]) ).
cnf(c_0_106,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).
cnf(c_0_107,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_108,hypothesis,
( sdtlseqdt0(X1,X2)
| X1 != xp
| ~ aElementOf0(X2,xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_54]),c_0_101])]) ).
cnf(c_0_109,hypothesis,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,xP) ),
inference(er,[status(thm)],[c_0_102]) ).
cnf(c_0_110,hypothesis,
aElementOf0(xx,xP),
inference(split_conjunct,[status(thm)],[m__5348]) ).
cnf(c_0_111,plain,
( X1 != sdtmndt0(X2,X3)
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_103]) ).
cnf(c_0_112,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_113,hypothesis,
aElementOf0(xx,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5365]) ).
cnf(c_0_114,hypothesis,
( sdtlseqdt0(xx,X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) ),
inference(er,[status(thm)],[c_0_105]) ).
cnf(c_0_115,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_116,hypothesis,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xQ) ),
inference(er,[status(thm)],[c_0_108]) ).
cnf(c_0_117,hypothesis,
aElementOf0(xx,xQ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_118,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_101]),c_0_83])]) ).
fof(c_0_119,plain,
! [X14] :
( ~ aSet0(X14)
| ~ isCountable0(X14)
| X14 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
cnf(c_0_120,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_121,plain,
( ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_111]) ).
cnf(c_0_122,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_123,hypothesis,
( X1 = xx
| ~ sdtlseqdt0(xx,X1)
| ~ sdtlseqdt0(X1,xx)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_124,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| sdtlseqdt0(xx,xp) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_125,hypothesis,
sdtlseqdt0(xp,xx),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_126,hypothesis,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[c_0_118,c_0_73]) ).
cnf(c_0_127,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_128,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_120]) ).
cnf(c_0_129,hypothesis,
( ~ aElementOf0(xp,xP)
| ~ aElement0(xp)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[c_0_121,c_0_74]) ).
cnf(c_0_130,hypothesis,
isCountable0(sdtlpdtrp0(xN,xn)),
inference(spm,[status(thm)],[c_0_122,c_0_85]) ).
cnf(c_0_131,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| xx = xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),c_0_126])]) ).
cnf(c_0_132,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_127]),c_0_128])]) ).
cnf(c_0_133,hypothesis,
( ~ aElementOf0(xp,xP)
| ~ aElement0(xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_75])]) ).
cnf(c_0_134,hypothesis,
xx = xp,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).
cnf(c_0_135,hypothesis,
~ aElementOf0(xp,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_89])]) ).
cnf(c_0_136,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_134]),c_0_135]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM621+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Aug 25 14:07:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.86/0.97 % Version : CSE_E---1.5
% 0.86/0.97 % Problem : theBenchmark.p
% 0.86/0.97 % Proof found
% 0.86/0.97 % SZS status Theorem for theBenchmark.p
% 0.86/0.97 % SZS output start Proof
% See solution above
% 0.86/0.98 % Total time : 0.409000 s
% 0.86/0.98 % SZS output end Proof
% 0.86/0.98 % Total time : 0.414000 s
%------------------------------------------------------------------------------