TSTP Solution File: NUM599+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM599+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 10:39:08 EDT 2023
% Result : Theorem 47.39s 47.49s
% Output : CNFRefutation 47.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 91
% Syntax : Number of formulae : 131 ( 18 unt; 80 typ; 0 def)
% Number of atoms : 182 ( 42 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 218 ( 87 ~; 94 |; 24 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 88 ( 47 >; 41 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 21 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 13 con; 0-4 aty)
% Number of variables : 49 ( 0 sgn; 26 !; 0 ?; 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,
esk1_1: $i > $i ).
tff(decl_59,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
esk5_1: $i > $i ).
tff(decl_63,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk10_1: $i > $i ).
tff(decl_68,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk22_1: $i > $i ).
tff(decl_80,type,
esk23_1: $i > $i ).
tff(decl_81,type,
esk24_1: $i > $i ).
tff(decl_82,type,
epred1_0: $o ).
tff(decl_83,type,
epred2_0: $o ).
tff(decl_84,type,
epred3_0: $o ).
tff(decl_85,type,
epred4_0: $o ).
tff(decl_86,type,
epred5_0: $o ).
tff(decl_87,type,
epred6_0: $o ).
tff(decl_88,type,
epred7_0: $o ).
tff(decl_89,type,
epred8_0: $o ).
tff(decl_90,type,
epred9_0: $o ).
tff(decl_91,type,
epred10_0: $o ).
tff(decl_92,type,
epred11_0: $o ).
tff(decl_93,type,
epred12_0: $o ).
tff(decl_94,type,
epred13_0: $o ).
tff(decl_95,type,
epred14_0: $o ).
tff(decl_96,type,
epred15_0: $o ).
tff(decl_97,type,
epred16_0: $o ).
tff(decl_98,type,
epred17_0: $o ).
tff(decl_99,type,
epred18_0: $o ).
tff(decl_100,type,
epred19_0: $o ).
tff(decl_101,type,
epred20_0: $o ).
fof(mImgCount,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( ( aSubsetOf0(X2,szDzozmdt0(X1))
& isCountable0(X2) )
=> ( ! [X3,X4] :
( ( aElementOf0(X3,szDzozmdt0(X1))
& aElementOf0(X4,szDzozmdt0(X1))
& X3 != X4 )
=> sdtlpdtrp0(X1,X3) != sdtlpdtrp0(X1,X4) )
=> isCountable0(sdtlcdtrc0(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(m__,conjecture,
isCountable0(xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(m__4930,hypothesis,
( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4930) ).
fof(m__4891,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
fof(m__4854,hypothesis,
( aElementOf0(szDzizrdt0(xd),xT)
& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
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/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(c_0_11,plain,
! [X163,X164] :
( ( aElementOf0(esk18_2(X163,X164),szDzozmdt0(X163))
| isCountable0(sdtlcdtrc0(X163,X164))
| ~ aSubsetOf0(X164,szDzozmdt0(X163))
| ~ isCountable0(X164)
| ~ aFunction0(X163) )
& ( aElementOf0(esk19_2(X163,X164),szDzozmdt0(X163))
| isCountable0(sdtlcdtrc0(X163,X164))
| ~ aSubsetOf0(X164,szDzozmdt0(X163))
| ~ isCountable0(X164)
| ~ aFunction0(X163) )
& ( esk18_2(X163,X164) != esk19_2(X163,X164)
| isCountable0(sdtlcdtrc0(X163,X164))
| ~ aSubsetOf0(X164,szDzozmdt0(X163))
| ~ isCountable0(X164)
| ~ aFunction0(X163) )
& ( sdtlpdtrp0(X163,esk18_2(X163,X164)) = sdtlpdtrp0(X163,esk19_2(X163,X164))
| isCountable0(sdtlcdtrc0(X163,X164))
| ~ aSubsetOf0(X164,szDzozmdt0(X163))
| ~ isCountable0(X164)
| ~ aFunction0(X163) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgCount])])])])]) ).
fof(c_0_12,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])])]) ).
cnf(c_0_13,plain,
( aElementOf0(esk19_2(X1,X2),szDzozmdt0(X1))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,hypothesis,
szDzozmdt0(xe) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,hypothesis,
aFunction0(xe),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,negated_conjecture,
~ isCountable0(xO),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_17,plain,
( sdtlpdtrp0(X1,esk18_2(X1,X2)) = sdtlpdtrp0(X1,esk19_2(X1,X2))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_18,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])]) ).
fof(c_0_19,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])])]) ).
cnf(c_0_20,hypothesis,
( isCountable0(sdtlcdtrc0(xe,X1))
| aElementOf0(esk19_2(xe,X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_21,hypothesis,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4930]) ).
cnf(c_0_22,hypothesis,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[m__4891]) ).
cnf(c_0_23,hypothesis,
isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[m__4854]) ).
cnf(c_0_24,negated_conjecture,
~ isCountable0(xO),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,hypothesis,
( sdtlpdtrp0(xe,esk19_2(xe,X1)) = sdtlpdtrp0(xe,esk18_2(xe,X1))
| isCountable0(sdtlcdtrc0(xe,X1))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_15])]) ).
cnf(c_0_26,plain,
( aElementOf0(esk18_2(X1,X2),szDzozmdt0(X1))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_27,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])])])])])]) ).
cnf(c_0_28,hypothesis,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,hypothesis,
aElementOf0(esk19_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_32,hypothesis,
sdtlpdtrp0(xe,esk19_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) = sdtlpdtrp0(xe,esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
fof(c_0_33,plain,
! [X111] :
( ~ aElementOf0(X111,szNzAzT0)
| sbrdtbr0(slbdtrb0(X111)) = X111 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
cnf(c_0_34,hypothesis,
( isCountable0(sdtlcdtrc0(xe,X1))
| aElementOf0(esk18_2(xe,X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_14]),c_0_15])]) ).
fof(c_0_35,plain,
! [X104] :
( ~ aElementOf0(X104,szNzAzT0)
| isFinite0(slbdtrb0(X104)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
cnf(c_0_36,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,hypothesis,
( X1 = sbrdtbr0(X2)
| szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,sbrdtbr0(X2)))
| ~ isFinite0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,esk19_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))) = sdtlpdtrp0(xe,esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_39,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,hypothesis,
aElementOf0(esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_41,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_43,hypothesis,
( esk19_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) = sbrdtbr0(X1)
| sdtlpdtrp0(xe,esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) != szmzizndt0(sdtlpdtrp0(xN,sbrdtbr0(X1)))
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_31]),c_0_38]) ).
cnf(c_0_44,hypothesis,
sbrdtbr0(slbdtrb0(esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))) = esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))) = sdtlpdtrp0(xe,esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
inference(spm,[status(thm)],[c_0_30,c_0_40]) ).
cnf(c_0_46,hypothesis,
isFinite0(slbdtrb0(esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_47,hypothesis,
aSet0(slbdtrb0(esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))),
inference(spm,[status(thm)],[c_0_42,c_0_40]) ).
cnf(c_0_48,plain,
( isCountable0(sdtlcdtrc0(X1,X2))
| esk18_2(X1,X2) != esk19_2(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_49,hypothesis,
esk19_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) = esk18_2(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_50,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_22]),c_0_15]),c_0_14]),c_0_21]),c_0_23])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM599+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 13:39:52 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 47.39/47.49 % Version : CSE_E---1.5
% 47.39/47.49 % Problem : theBenchmark.p
% 47.39/47.49 % Proof found
% 47.39/47.49 % SZS status Theorem for theBenchmark.p
% 47.39/47.49 % SZS output start Proof
% See solution above
% 47.39/47.50 % Total time : 46.923000 s
% 47.39/47.50 % SZS output end Proof
% 47.39/47.50 % Total time : 46.928000 s
%------------------------------------------------------------------------------