TSTP Solution File: NUM542+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM542+2 : 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 : n025.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 10:38:34 EDT 2023
% Result : Theorem 0.63s 0.84s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 42
% Syntax : Number of formulae : 161 ( 20 unt; 30 typ; 0 def)
% Number of atoms : 883 ( 48 equ)
% Maximal formula atoms : 460 ( 6 avg)
% Number of connectives : 1141 ( 389 ~; 539 |; 177 &)
% ( 12 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 5 avg)
% Maximal term depth : 3 ( 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 : 22 ( 22 usr; 6 con; 0-3 aty)
% Number of variables : 108 ( 0 sgn; 55 !; 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,
xm: $i ).
tff(decl_41,type,
xn: $i ).
tff(decl_42,type,
esk1_1: $i > $i ).
tff(decl_43,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_44,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
esk5_1: $i > $i ).
tff(decl_47,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk10_0: $i ).
fof(m__,conjecture,
( ( sdtlseqdt0(xm,xn)
=> ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) ) )
=> ( ( aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ) ) )
& ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) )
& aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
& aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
=> sdtlseqdt0(xm,xn) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(m__1964,hypothesis,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1964) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
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(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(c_0_12,negated_conjecture,
~ ( ( sdtlseqdt0(xm,xn)
=> ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) ) )
=> ( ( aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ) ) )
& ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) )
& aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
& aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
=> sdtlseqdt0(xm,xn) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_13,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])])]) ).
fof(c_0_14,negated_conjecture,
! [X105,X106,X108,X109,X110] :
( ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(xm,xn) )
& ( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aSet0(slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| aSet0(slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ),
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_12])])])])]) ).
fof(c_0_15,plain,
! [X69,X70] :
( ~ aElementOf0(X69,szNzAzT0)
| ~ aElementOf0(X70,szNzAzT0)
| sdtlseqdt0(X69,X70)
| sdtlseqdt0(szszuzczcdt0(X70),X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
cnf(c_0_16,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
cnf(c_0_18,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
cnf(c_0_22,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,hypothesis,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_25,plain,
! [X64,X65] :
( ~ aElementOf0(X64,szNzAzT0)
| ~ aElementOf0(X65,szNzAzT0)
| ~ sdtlseqdt0(X64,X65)
| ~ sdtlseqdt0(X65,X64)
| X64 = X65 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
cnf(c_0_26,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xm),X1)
| sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,hypothesis,
( sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(xn)),X1)
| sdtlseqdt0(X1,szszuzczcdt0(xn))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_20,c_0_24]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,hypothesis,
( aElementOf0(xm,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn) ),
inference(spm,[status(thm)],[c_0_26,c_0_21]) ).
cnf(c_0_32,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xm),xn)
| sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_33,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xn),X1)
| sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_34,negated_conjecture,
( aElementOf0(szszuzczcdt0(xn),slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(xn)),xm) ),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_35,hypothesis,
( sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(xn)),xm)
| sdtlseqdt0(xm,szszuzczcdt0(xn)) ),
inference(spm,[status(thm)],[c_0_29,c_0_21]) ).
cnf(c_0_36,hypothesis,
( X1 = xn
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_37,hypothesis,
( sdtlseqdt0(xn,xm)
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,hypothesis,
( aElementOf0(xn,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(spm,[status(thm)],[c_0_28,c_0_17]) ).
cnf(c_0_39,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| sdtlseqdt0(xm,xn) ),
inference(spm,[status(thm)],[c_0_33,c_0_21]) ).
cnf(c_0_40,hypothesis,
( X1 = xm
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_30,c_0_21]) ).
cnf(c_0_41,negated_conjecture,
( sdtlseqdt0(xm,szszuzczcdt0(xn))
| aElementOf0(szszuzczcdt0(xn),slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_42,plain,
! [X62] :
( ~ aElementOf0(X62,szNzAzT0)
| sdtlseqdt0(X62,szszuzczcdt0(X62)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
cnf(c_0_43,hypothesis,
( xn = xm
| aElementOf0(xm,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_21])]) ).
cnf(c_0_44,hypothesis,
( sdtlseqdt0(xm,xn)
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_45,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])])])])])]) ).
fof(c_0_46,plain,
! [X103,X104] :
( ( ~ aElementOf0(X103,slbdtrb0(szszuzczcdt0(X104)))
| aElementOf0(X103,slbdtrb0(X104))
| X103 = X104
| ~ aElementOf0(X103,szNzAzT0)
| ~ aElementOf0(X104,szNzAzT0) )
& ( ~ aElementOf0(X103,slbdtrb0(X104))
| aElementOf0(X103,slbdtrb0(szszuzczcdt0(X104)))
| ~ aElementOf0(X103,szNzAzT0)
| ~ aElementOf0(X104,szNzAzT0) )
& ( X103 != X104
| aElementOf0(X103,slbdtrb0(szszuzczcdt0(X104)))
| ~ aElementOf0(X103,szNzAzT0)
| ~ aElementOf0(X104,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
cnf(c_0_47,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_48,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_49,hypothesis,
( szszuzczcdt0(xn) = xm
| aElementOf0(szszuzczcdt0(xn),slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_24])]) ).
cnf(c_0_50,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_52,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_53,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_54,hypothesis,
( xn = xm
| aElementOf0(xn,slbdtrb0(xm))
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_55,plain,
! [X60,X61] :
( ( ~ sdtlseqdt0(X60,X61)
| sdtlseqdt0(szszuzczcdt0(X60),szszuzczcdt0(X61))
| ~ aElementOf0(X60,szNzAzT0)
| ~ aElementOf0(X61,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X60),szszuzczcdt0(X61))
| sdtlseqdt0(X60,X61)
| ~ aElementOf0(X60,szNzAzT0)
| ~ aElementOf0(X61,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
cnf(c_0_56,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(csr,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,hypothesis,
( szszuzczcdt0(xn) = xm
| sdtlseqdt0(xm,xn)
| aElementOf0(szszuzczcdt0(xn),slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_49,c_0_39]) ).
cnf(c_0_60,hypothesis,
sdtlseqdt0(xn,szszuzczcdt0(xn)),
inference(spm,[status(thm)],[c_0_50,c_0_17]) ).
cnf(c_0_61,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(csr,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,negated_conjecture,
( xn = xm
| aElementOf0(xm,slbdtrb0(xn))
| aElementOf0(xn,slbdtrb0(xn)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_43]) ).
cnf(c_0_63,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_64,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_65,negated_conjecture,
( aElementOf0(esk10_0,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_66,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_68,hypothesis,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(xn)))
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_17]),c_0_58]) ).
cnf(c_0_69,negated_conjecture,
( szszuzczcdt0(xn) = xm
| sdtlseqdt0(xm,xn)
| aElementOf0(szszuzczcdt0(xn),slbdtrb0(xn)) ),
inference(spm,[status(thm)],[c_0_53,c_0_59]) ).
fof(c_0_70,plain,
! [X57] :
( ~ aElementOf0(X57,szNzAzT0)
| X57 != szszuzczcdt0(X57) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
cnf(c_0_71,hypothesis,
( szszuzczcdt0(xn) = xn
| ~ sdtlseqdt0(szszuzczcdt0(xn),xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_60]),c_0_24])]) ).
cnf(c_0_72,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xn),xn)
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_65,c_0_44]) ).
cnf(c_0_75,hypothesis,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(xn))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_66,c_0_17]) ).
cnf(c_0_76,hypothesis,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(xn))
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(xn))) ),
inference(spm,[status(thm)],[c_0_67,c_0_24]) ).
cnf(c_0_77,hypothesis,
( szszuzczcdt0(xn) = xm
| sdtlseqdt0(xm,xn)
| aElementOf0(szszuzczcdt0(xn),slbdtrb0(szszuzczcdt0(xn))) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,hypothesis,
( szszuzczcdt0(xn) = xn
| xn = xm
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm))
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_81,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| aElementOf0(esk10_0,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xn),xn)
| ~ sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(xn)),szszuzczcdt0(xn)) ),
inference(spm,[status(thm)],[c_0_75,c_0_24]) ).
cnf(c_0_83,hypothesis,
( szszuzczcdt0(xn) = xm
| sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(xn)),szszuzczcdt0(xn))
| sdtlseqdt0(xm,xn) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,hypothesis,
( xn = xm
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_17])]) ).
cnf(c_0_85,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xn))
| aElementOf0(esk10_0,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_73]) ).
cnf(c_0_86,hypothesis,
( szszuzczcdt0(xn) = xm
| sdtlseqdt0(szszuzczcdt0(xn),xn)
| sdtlseqdt0(xm,xn) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,hypothesis,
( xn = xm
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(spm,[status(thm)],[c_0_68,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xn)
| aElementOf0(esk10_0,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_61,c_0_85]) ).
cnf(c_0_89,hypothesis,
( szszuzczcdt0(xn) = xm
| szszuzczcdt0(xn) = xn
| sdtlseqdt0(xm,xn) ),
inference(spm,[status(thm)],[c_0_71,c_0_86]) ).
cnf(c_0_90,hypothesis,
( sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(spm,[status(thm)],[c_0_75,c_0_21]) ).
cnf(c_0_91,hypothesis,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(spm,[status(thm)],[c_0_76,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( szszuzczcdt0(xn) = xn
| aElementOf0(esk10_0,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_71,c_0_88]) ).
cnf(c_0_93,hypothesis,
( szszuzczcdt0(xn) = xm
| sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_89]),c_0_17])]) ).
cnf(c_0_94,hypothesis,
( xn = xm
| sdtlseqdt0(xm,xn) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_95,negated_conjecture,
aElementOf0(esk10_0,szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_92]),c_0_17])]) ).
cnf(c_0_96,hypothesis,
sdtlseqdt0(xm,xn),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_93]),c_0_17])]),c_0_94]) ).
cnf(c_0_97,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk10_0),X1)
| sdtlseqdt0(X1,esk10_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_20,c_0_95]) ).
fof(c_0_98,plain,
! [X66,X67,X68] :
( ~ aElementOf0(X66,szNzAzT0)
| ~ aElementOf0(X67,szNzAzT0)
| ~ aElementOf0(X68,szNzAzT0)
| ~ sdtlseqdt0(X66,X67)
| ~ sdtlseqdt0(X67,X68)
| sdtlseqdt0(X66,X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
cnf(c_0_99,hypothesis,
aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_100,hypothesis,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(xm)))
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_21]),c_0_73]) ).
cnf(c_0_101,negated_conjecture,
aElementOf0(esk10_0,slbdtrb0(xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_96])]) ).
cnf(c_0_102,negated_conjecture,
( aElementOf0(esk10_0,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(esk10_0),xn) ),
inference(spm,[status(thm)],[c_0_26,c_0_95]) ).
cnf(c_0_103,hypothesis,
( sdtlseqdt0(szszuzczcdt0(esk10_0),xn)
| sdtlseqdt0(xn,esk10_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_17]) ).
cnf(c_0_104,negated_conjecture,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_105,plain,
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_106,hypothesis,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(xm))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_66,c_0_21]) ).
cnf(c_0_107,hypothesis,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(xm))
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(xm))) ),
inference(spm,[status(thm)],[c_0_67,c_0_99]) ).
cnf(c_0_108,hypothesis,
aElementOf0(esk10_0,slbdtrb0(szszuzczcdt0(xm))),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_109,negated_conjecture,
( sdtlseqdt0(xn,esk10_0)
| aElementOf0(esk10_0,slbdtrb0(xn)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_110,negated_conjecture,
~ aElementOf0(esk10_0,slbdtrb0(xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_96])]) ).
cnf(c_0_111,hypothesis,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X2,xn)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_105,c_0_17]) ).
cnf(c_0_112,hypothesis,
( sdtlseqdt0(esk10_0,xm)
| ~ sdtlseqdt0(szszuzczcdt0(esk10_0),szszuzczcdt0(xm)) ),
inference(spm,[status(thm)],[c_0_106,c_0_95]) ).
cnf(c_0_113,hypothesis,
sdtlseqdt0(szszuzczcdt0(esk10_0),szszuzczcdt0(xm)),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_114,negated_conjecture,
sdtlseqdt0(xn,esk10_0),
inference(sr,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,hypothesis,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_21]),c_0_96])]) ).
cnf(c_0_116,hypothesis,
sdtlseqdt0(esk10_0,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]) ).
cnf(c_0_117,negated_conjecture,
( X1 = esk10_0
| ~ sdtlseqdt0(esk10_0,X1)
| ~ sdtlseqdt0(X1,esk10_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_30,c_0_95]) ).
cnf(c_0_118,hypothesis,
( esk10_0 = xn
| ~ sdtlseqdt0(esk10_0,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_114]),c_0_95])]) ).
cnf(c_0_119,negated_conjecture,
sdtlseqdt0(esk10_0,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_95]),c_0_116])]) ).
cnf(c_0_120,negated_conjecture,
( ~ sdtlseqdt0(xm,xn)
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_121,negated_conjecture,
( esk10_0 = xm
| ~ sdtlseqdt0(xm,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_116]),c_0_21])]) ).
cnf(c_0_122,hypothesis,
esk10_0 = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119])]) ).
cnf(c_0_123,negated_conjecture,
~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_96])]) ).
cnf(c_0_124,negated_conjecture,
xn = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122]),c_0_122]),c_0_96])]) ).
fof(c_0_125,plain,
! [X20] :
( ~ aSet0(X20)
| aSubsetOf0(X20,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_126,negated_conjecture,
( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_127,negated_conjecture,
~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xm)),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_129,negated_conjecture,
aSet0(slbdtrb0(xm)),
inference(cn,[status(thm)],[c_0_126]) ).
cnf(c_0_130,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM542+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30 % Computer : n025.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri Aug 25 16:19:07 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.16/0.47 start to proof: theBenchmark
% 0.63/0.84 % Version : CSE_E---1.5
% 0.63/0.84 % Problem : theBenchmark.p
% 0.63/0.84 % Proof found
% 0.63/0.84 % SZS status Theorem for theBenchmark.p
% 0.63/0.84 % SZS output start Proof
% See solution above
% 0.79/0.85 % Total time : 0.361000 s
% 0.79/0.85 % SZS output end Proof
% 0.79/0.85 % Total time : 0.364000 s
%------------------------------------------------------------------------------