TSTP Solution File: NUM586+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM586+3 : 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 : n004.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 10:39:00 EDT 2023
% Result : Theorem 4.70s 4.88s
% Output : CNFRefutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 79
% Syntax : Number of formulae : 95 ( 7 unt; 74 typ; 0 def)
% Number of atoms : 746 ( 129 equ)
% Maximal formula atoms : 518 ( 35 avg)
% Number of connectives : 1123 ( 398 ~; 468 |; 201 &)
% ( 12 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 113 ( 12 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 121 ( 61 >; 60 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 63 ( 63 usr; 13 con; 0-4 aty)
% Number of variables : 68 ( 0 sgn; 62 !; 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,
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,
xi: $i ).
tff(decl_56,type,
xx: $i ).
tff(decl_57,type,
epred1_1: $i > $o ).
tff(decl_58,type,
epred2_1: $i > $o ).
tff(decl_59,type,
esk1_1: $i > $i ).
tff(decl_60,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
esk5_1: $i > $i ).
tff(decl_64,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk10_1: $i > $i ).
tff(decl_69,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk20_1: $i > $i ).
tff(decl_79,type,
esk21_1: $i > $i ).
tff(decl_80,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk31_1: $i > $i ).
tff(decl_90,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_91,type,
esk33_0: $i ).
tff(decl_92,type,
esk34_1: $i > $i ).
tff(decl_93,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk37_2: ( $i * $i ) > $i ).
fof(m__,conjecture,
? [X1] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& X2 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(m__4200_02,hypothesis,
( ? [X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi)))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx )
& aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200_02) ).
fof(m__4200,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200) ).
fof(c_0_4,plain,
! [X1] :
( epred2_1(X1)
<=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
introduced(definition) ).
fof(c_0_5,negated_conjecture,
~ ? [X1] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& X2 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_6,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred2_1(X1) ) ),
inference(apply_def,[status(thm)],[m__4151,c_0_4]) ).
fof(c_0_7,negated_conjecture,
! [X215,X216,X217,X218] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx )
& ( ~ aElementOf0(X216,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X216)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx )
& ( aElement0(X217)
| ~ aElementOf0(X217,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx )
& ( aElementOf0(X217,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X217,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx )
& ( X217 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X217,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx )
& ( ~ aElement0(X218)
| ~ aElementOf0(X218,sdtlpdtrp0(xN,xi))
| X218 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx )
& ( aElementOf0(esk34_1(X215),X215)
| ~ aSet0(X215)
| sbrdtbr0(X215) != xk
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx )
& ( ~ aElementOf0(esk34_1(X215),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X215)
| sbrdtbr0(X215) != xk
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx )
& ( ~ aSubsetOf0(X215,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sbrdtbr0(X215) != xk
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx )
& ( ~ aElementOf0(X215,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X215) != xx ) ),
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)],[c_0_5])])])])])]) ).
fof(c_0_8,hypothesis,
( aElementOf0(esk33_0,szDzozmdt0(sdtlpdtrp0(xC,xi)))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk33_0) = xx
& aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__4200_02])]) ).
fof(c_0_9,plain,
! [X1] :
( epred2_1(X1)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_4]) ).
fof(c_0_10,hypothesis,
! [X213] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( ~ aElementOf0(X213,szNzAzT0)
| epred2_1(X213) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_11,negated_conjecture,
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) != xx ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk33_0) = xx,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X230,X231,X232,X233,X234,X235,X236,X238,X239,X240,X241,X243,X244,X245] :
( ( aFunction0(sdtlpdtrp0(xC,X230))
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X231,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X231)
| ~ epred2_1(X230) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ epred2_1(X230) )
& ( aElement0(X232)
| ~ aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ epred2_1(X230) )
& ( aElementOf0(X232,sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ epred2_1(X230) )
& ( X232 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ epred2_1(X230) )
& ( ~ aElement0(X233)
| ~ aElementOf0(X233,sdtlpdtrp0(xN,X230))
| X233 = szmzizndt0(sdtlpdtrp0(xN,X230))
| aElementOf0(X233,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ epred2_1(X230) )
& ( aSet0(X234)
| ~ aElementOf0(X234,szDzozmdt0(sdtlpdtrp0(xC,X230)))
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X235,X234)
| aElementOf0(X235,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X234,szDzozmdt0(sdtlpdtrp0(xC,X230)))
| ~ epred2_1(X230) )
& ( aSubsetOf0(X234,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X234,szDzozmdt0(sdtlpdtrp0(xC,X230)))
| ~ epred2_1(X230) )
& ( sbrdtbr0(X234) = xk
| ~ aElementOf0(X234,szDzozmdt0(sdtlpdtrp0(xC,X230)))
| ~ epred2_1(X230) )
& ( aElementOf0(esk36_2(X230,X236),X236)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| aElementOf0(X236,szDzozmdt0(sdtlpdtrp0(xC,X230)))
| ~ epred2_1(X230) )
& ( ~ aElementOf0(esk36_2(X230,X236),sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| aElementOf0(X236,szDzozmdt0(sdtlpdtrp0(xC,X230)))
| ~ epred2_1(X230) )
& ( ~ aSubsetOf0(X236,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X236) != xk
| aElementOf0(X236,szDzozmdt0(sdtlpdtrp0(xC,X230)))
| ~ epred2_1(X230) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X230)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))),xk)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X239)
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X239)
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X239)
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X239)
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X239)
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X239)
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X239)
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| aElement0(X240)
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| aElement0(X240)
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElement0(X240)
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElement0(X240)
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElement0(X240)
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElement0(X240)
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElement0(X240)
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| aElementOf0(X240,sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| aElementOf0(X240,sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(X240,sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(X240,sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(X240,sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(X240,sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(X240,sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| X240 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| X240 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| X240 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| X240 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| X240 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| X240 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| X240 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aElement0(X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X230))
| X241 = szmzizndt0(sdtlpdtrp0(xN,X230))
| aElementOf0(X241,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| ~ aElement0(X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X230))
| X241 = szmzizndt0(sdtlpdtrp0(xN,X230))
| aElementOf0(X241,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElement0(X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X230))
| X241 = szmzizndt0(sdtlpdtrp0(xN,X230))
| aElementOf0(X241,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElement0(X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X230))
| X241 = szmzizndt0(sdtlpdtrp0(xN,X230))
| aElementOf0(X241,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElement0(X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X230))
| X241 = szmzizndt0(sdtlpdtrp0(xN,X230))
| aElementOf0(X241,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElement0(X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X230))
| X241 = szmzizndt0(sdtlpdtrp0(xN,X230))
| aElementOf0(X241,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElement0(X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X230))
| X241 = szmzizndt0(sdtlpdtrp0(xN,X230))
| aElementOf0(X241,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| aElementOf0(esk37_2(X230,X238),X238)
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| aElementOf0(esk37_2(X230,X238),X238)
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(esk37_2(X230,X238),X238)
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(esk37_2(X230,X238),X238)
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(esk37_2(X230,X238),X238)
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(esk37_2(X230,X238),X238)
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| aElementOf0(esk37_2(X230,X238),X238)
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aElementOf0(esk37_2(X230,X238),sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| ~ aElementOf0(esk37_2(X230,X238),sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(esk37_2(X230,X238),sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(esk37_2(X230,X238),sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(esk37_2(X230,X238),sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(esk37_2(X230,X238),sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(esk37_2(X230,X238),sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aSubsetOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| ~ aSubsetOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSubsetOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSubsetOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSubsetOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSubsetOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aSubsetOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))))
| sbrdtbr0(X238) != xk
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X230)),sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X238,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))),xk))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X243,sdtlpdtrp0(xN,X230))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X230)),X243)
| ~ aElementOf0(X238,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))),xk))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElement0(X244)
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X238,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))),xk))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( aElementOf0(X244,X238)
| X244 = szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElementOf0(X244,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X238,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))),xk))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( ~ aElementOf0(X245,X238)
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X238,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))),xk))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( X245 != szmzizndt0(sdtlpdtrp0(xN,X230))
| ~ aElement0(X245)
| aElementOf0(X245,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X238,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))),xk))
| ~ aSet0(X238)
| ~ epred2_1(X230) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X230),X238) = sdtlpdtrp0(xc,sdtpldt0(X238,szmzizndt0(sdtlpdtrp0(xN,X230))))
| ~ aElementOf0(X238,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X230),szmzizndt0(sdtlpdtrp0(xN,X230))),xk))
| ~ aSet0(X238)
| ~ epred2_1(X230) ) ),
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)],[c_0_9])])])])])]) ).
cnf(c_0_14,hypothesis,
( epred2_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4200]) ).
cnf(c_0_16,hypothesis,
~ aElementOf0(esk33_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,hypothesis,
aElementOf0(esk33_0,szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,hypothesis,
epred2_1(xi),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM586+3 : 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 : n004.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 15:19:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 4.70/4.88 % Version : CSE_E---1.5
% 4.70/4.88 % Problem : theBenchmark.p
% 4.70/4.88 % Proof found
% 4.70/4.88 % SZS status Theorem for theBenchmark.p
% 4.70/4.88 % SZS output start Proof
% See solution above
% 4.70/4.89 % Total time : 4.295000 s
% 4.70/4.89 % SZS output end Proof
% 4.70/4.89 % Total time : 4.303000 s
%------------------------------------------------------------------------------