TSTP Solution File: NUM563+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM563+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 : n014.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 10:38:45 EDT 2023
% Result : Theorem 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 66
% Syntax : Number of formulae : 127 ( 22 unt; 52 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 87 ( 45 >; 42 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 7 con; 0-4 aty)
% Number of variables : 94 ( 0 sgn; 42 !; 5 ?; 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,
esk1_1: $i > $i ).
tff(decl_53,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk5_1: $i > $i ).
tff(decl_57,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk10_1: $i > $i ).
tff(decl_62,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk22_2: ( $i * $i ) > $i ).
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,
! [X13] :
( ~ aSet0(X13)
| ~ isCountable0(X13)
| ~ isFinite0(X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_17,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_18,plain,
! [X112,X113,X114,X115,X116,X117] :
( ( aSet0(X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( aSubsetOf0(X115,X112)
| ~ aElementOf0(X115,X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( sbrdtbr0(X115) = X113
| ~ aElementOf0(X115,X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( ~ aSubsetOf0(X116,X112)
| sbrdtbr0(X116) != X113
| aElementOf0(X116,X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X112,X113,X117),X117)
| ~ aSubsetOf0(esk11_3(X112,X113,X117),X112)
| sbrdtbr0(esk11_3(X112,X113,X117)) != X113
| ~ aSet0(X117)
| X117 = slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X112,X113,X117),X112)
| aElementOf0(esk11_3(X112,X113,X117),X117)
| ~ aSet0(X117)
| X117 = slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X112,X113,X117)) = X113
| aElementOf0(esk11_3(X112,X113,X117),X117)
| ~ aSet0(X117)
| X117 = slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,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,
! [X174,X175] :
( xK = sz00
& ( aElementOf0(esk22_2(X174,X175),slbdtsldtrb0(X175,xK))
| ~ aSubsetOf0(X175,xS)
| ~ isCountable0(X175)
| ~ aElementOf0(X174,xT) )
& ( sdtlpdtrp0(xc,esk22_2(X174,X175)) != X174
| ~ aSubsetOf0(X175,xS)
| ~ isCountable0(X175)
| ~ aElementOf0(X174,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,
! [X121,X122] :
( ~ aSet0(X121)
| isFinite0(X121)
| ~ aElementOf0(X122,szNzAzT0)
| slbdtsldtrb0(X121,X122) != 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,
! [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_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,
! [X76] :
( ( sbrdtbr0(X76) != sz00
| X76 = slcrc0
| ~ aSet0(X76) )
& ( X76 != slcrc0
| sbrdtbr0(X76) = sz00
| ~ aSet0(X76) ) ),
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,
! [X155,X156] :
( ~ aFunction0(X155)
| ~ aElementOf0(X156,szDzozmdt0(X155))
| aElementOf0(sdtlpdtrp0(X155,X156),sdtlcdtrc0(X155,szDzozmdt0(X155))) ),
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,
! [X22] :
( ~ aSet0(X22)
| aSubsetOf0(X22,X22) ),
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
% 0.00/0.12 % Problem : NUM563+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
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 12:06:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.19/0.61 % Version : CSE_E---1.5
% 0.19/0.61 % Problem : theBenchmark.p
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark.p
% 0.19/0.61 % SZS output start Proof
% See solution above
% 0.19/0.62 % Total time : 0.063000 s
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time : 0.068000 s
%------------------------------------------------------------------------------