TSTP Solution File: NUM545+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM545+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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:38:35 EDT 2023
% Result : Theorem 0.15s 0.60s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 42
% Syntax : Number of formulae : 97 ( 18 unt; 28 typ; 0 def)
% Number of atoms : 254 ( 65 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 308 ( 123 ~; 136 |; 32 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 24 >; 15 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-3 aty)
% Number of variables : 81 ( 1 sgn; 40 !; 3 ?; 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,
xS: $i ).
tff(decl_41,type,
esk1_1: $i > $i ).
tff(decl_42,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
esk5_1: $i > $i ).
tff(decl_46,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk9_2: ( $i * $i ) > $i ).
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(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
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(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__,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__1986,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(m__2035,hypothesis,
( xS != slcrc0
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2035) ).
fof(mDefMax,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzazxdt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMax) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(c_0_14,plain,
! [X84,X85,X86,X87] :
( ( aElementOf0(X85,X84)
| X85 != szmzizndt0(X84)
| ~ aSubsetOf0(X84,szNzAzT0)
| X84 = slcrc0 )
& ( ~ aElementOf0(X86,X84)
| sdtlseqdt0(X85,X86)
| X85 != szmzizndt0(X84)
| ~ aSubsetOf0(X84,szNzAzT0)
| X84 = slcrc0 )
& ( aElementOf0(esk7_2(X84,X87),X84)
| ~ aElementOf0(X87,X84)
| X87 = szmzizndt0(X84)
| ~ aSubsetOf0(X84,szNzAzT0)
| X84 = slcrc0 )
& ( ~ sdtlseqdt0(X87,esk7_2(X84,X87))
| ~ aElementOf0(X87,X84)
| X87 = szmzizndt0(X84)
| ~ aSubsetOf0(X84,szNzAzT0)
| X84 = 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_15,plain,
! [X7,X8,X9] :
( ( aSet0(X7)
| X7 != slcrc0 )
& ( ~ aElementOf0(X8,X7)
| X7 != slcrc0 )
& ( ~ aSet0(X9)
| aElementOf0(esk1_1(X9),X9)
| X9 = 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_16,plain,
( aElementOf0(esk7_2(X1,X2),X1)
| X2 = szmzizndt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X20] :
( ~ aSet0(X20)
| aSubsetOf0(X20,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_19,plain,
( X1 = szmzizndt0(X2)
| X2 = slcrc0
| ~ sdtlseqdt0(X1,esk7_2(X2,X1))
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X58] :
( ~ aElementOf0(X58,szNzAzT0)
| sdtlseqdt0(sz00,X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
cnf(c_0_21,plain,
( X1 = szmzizndt0(X2)
| aElementOf0(esk7_2(X2,X1),X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,X2) ),
inference(csr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_24,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_25,plain,
( X1 = szmzizndt0(X2)
| ~ sdtlseqdt0(X1,esk7_2(X2,X1))
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,X2) ),
inference(csr,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_26,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( X1 = szmzizndt0(szNzAzT0)
| aElementOf0(esk7_2(szNzAzT0,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_28,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,plain,
slcrc0 != szNzAzT0,
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_30,plain,
( szmzizndt0(X1) = sz00
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(esk7_2(X1,sz00),szNzAzT0)
| ~ aElementOf0(sz00,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( szmzizndt0(szNzAzT0) = sz00
| aElementOf0(esk7_2(szNzAzT0,sz00),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_32,plain,
( aElementOf0(X1,szNzAzT0)
| X1 != szmzizndt0(szNzAzT0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_23])]),c_0_29]) ).
cnf(c_0_33,plain,
( szmzizndt0(szNzAzT0) = sz00
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_24])]) ).
fof(c_0_34,plain,
! [X96,X97,X98,X99,X100] :
( ( aSet0(X97)
| X97 != slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( aElementOf0(X98,szNzAzT0)
| ~ aElementOf0(X98,X97)
| X97 != slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X98),X96)
| ~ aElementOf0(X98,X97)
| X97 != slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( ~ aElementOf0(X99,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X99),X96)
| aElementOf0(X99,X97)
| X97 != slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X96,X100),X100)
| ~ aElementOf0(esk9_2(X96,X100),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X96,X100)),X96)
| ~ aSet0(X100)
| X100 = slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( aElementOf0(esk9_2(X96,X100),szNzAzT0)
| aElementOf0(esk9_2(X96,X100),X100)
| ~ aSet0(X100)
| X100 = slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X96,X100)),X96)
| aElementOf0(esk9_2(X96,X100),X100)
| ~ aSet0(X100)
| X100 = slbdtrb0(X96)
| ~ aElementOf0(X96,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_35,plain,
( aElementOf0(X1,szNzAzT0)
| X1 != sz00
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_36,plain,
! [X13,X14,X15,X16] :
( ( aSet0(X14)
| ~ aSubsetOf0(X14,X13)
| ~ aSet0(X13) )
& ( ~ aElementOf0(X15,X14)
| aElementOf0(X15,X13)
| ~ aSubsetOf0(X14,X13)
| ~ aSet0(X13) )
& ( aElementOf0(esk2_2(X13,X16),X16)
| ~ aSet0(X16)
| aSubsetOf0(X16,X13)
| ~ aSet0(X13) )
& ( ~ aElementOf0(esk2_2(X13,X16),X13)
| ~ aSet0(X16)
| aSubsetOf0(X16,X13)
| ~ aSet0(X13) ) ),
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])])])])])]) ).
cnf(c_0_37,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
( aElementOf0(X1,szNzAzT0)
| X1 != sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_23])]) ).
fof(c_0_39,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X1)) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_40,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1986]) ).
cnf(c_0_42,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| X2 != sz00 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_43,negated_conjecture,
! [X107] :
( ~ aElementOf0(X107,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(X107)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
cnf(c_0_44,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,hypothesis,
aSet0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_23])]) ).
cnf(c_0_46,plain,
( aSet0(slbdtrb0(X1))
| X1 != sz00 ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_47,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]) ).
cnf(c_0_48,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,hypothesis,
( aSubsetOf0(xS,X1)
| aElementOf0(esk2_2(X1,xS),xS)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
aSet0(slcrc0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
~ aSubsetOf0(xS,slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_24])]) ).
fof(c_0_52,hypothesis,
( xS = slcrc0
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(fof_nnf,[status(thm)],[m__2035]) ).
cnf(c_0_53,hypothesis,
aElementOf0(esk2_2(slcrc0,xS),xS),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
fof(c_0_54,plain,
! [X89,X90,X91,X92] :
( ( aElementOf0(X90,X89)
| X90 != szmzazxdt0(X89)
| ~ aSubsetOf0(X89,szNzAzT0)
| ~ isFinite0(X89)
| X89 = slcrc0 )
& ( ~ aElementOf0(X91,X89)
| sdtlseqdt0(X91,X90)
| X90 != szmzazxdt0(X89)
| ~ aSubsetOf0(X89,szNzAzT0)
| ~ isFinite0(X89)
| X89 = slcrc0 )
& ( aElementOf0(esk8_2(X89,X92),X89)
| ~ aElementOf0(X92,X89)
| X92 = szmzazxdt0(X89)
| ~ aSubsetOf0(X89,szNzAzT0)
| ~ isFinite0(X89)
| X89 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X89,X92),X92)
| ~ aElementOf0(X92,X89)
| X92 = szmzazxdt0(X89)
| ~ aSubsetOf0(X89,szNzAzT0)
| ~ isFinite0(X89)
| X89 = 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)],[mDefMax])])])])])]) ).
cnf(c_0_55,hypothesis,
( xS = slcrc0
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_56,hypothesis,
xS != slcrc0,
inference(spm,[status(thm)],[c_0_17,c_0_53]) ).
cnf(c_0_57,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,hypothesis,
isFinite0(xS),
inference(split_conjunct,[status(thm)],[m__1986]) ).
cnf(c_0_59,hypothesis,
aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(sr,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,plain,
! [X52] :
( ( aElementOf0(szszuzczcdt0(X52),szNzAzT0)
| ~ aElementOf0(X52,szNzAzT0) )
& ( szszuzczcdt0(X52) != sz00
| ~ aElementOf0(X52,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
cnf(c_0_61,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_62,hypothesis,
( xS = slcrc0
| aElementOf0(X1,xS)
| X1 != szmzazxdt0(xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_58])]) ).
cnf(c_0_63,negated_conjecture,
~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
inference(spm,[status(thm)],[c_0_48,c_0_59]) ).
cnf(c_0_64,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_41]),c_0_23])]) ).
cnf(c_0_66,hypothesis,
aElementOf0(szmzazxdt0(xS),xS),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_62]),c_0_56]) ).
cnf(c_0_67,negated_conjecture,
~ aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM545+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.31 % Computer : n028.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Fri Aug 25 14:27:06 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.15/0.55 start to proof: theBenchmark
% 0.15/0.60 % Version : CSE_E---1.5
% 0.15/0.60 % Problem : theBenchmark.p
% 0.15/0.60 % Proof found
% 0.15/0.60 % SZS status Theorem for theBenchmark.p
% 0.15/0.60 % SZS output start Proof
% See solution above
% 0.15/0.61 % Total time : 0.042000 s
% 0.15/0.61 % SZS output end Proof
% 0.15/0.61 % Total time : 0.044000 s
%------------------------------------------------------------------------------