TSTP Solution File: NUM537+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM537+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 : n016.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 10:38:31 EDT 2023
% Result : Theorem 0.20s 0.68s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 74 ( 13 unt; 17 typ; 0 def)
% Number of atoms : 980 ( 176 equ)
% Maximal formula atoms : 676 ( 17 avg)
% Number of connectives : 1423 ( 500 ~; 679 |; 214 &)
% ( 12 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 176 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 12 >; 9 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 79 ( 0 sgn; 44 !; 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,
xx: $i ).
tff(decl_32,type,
xS: $i ).
tff(decl_33,type,
esk1_1: $i > $i ).
tff(decl_34,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
esk5_0: $i ).
tff(decl_38,type,
esk6_0: $i ).
fof(m__,conjecture,
( ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| X1 = xx ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& X1 != xx ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) )
& ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| X1 = xx ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& X1 != xx ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__679,hypothesis,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(m__679_02,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679_02) ).
fof(c_0_7,negated_conjecture,
~ ( ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| X1 = xx ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& X1 != xx ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) )
& ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| X1 = xx ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& X1 != xx ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_8,plain,
! [X33,X34,X35,X36,X37,X38] :
( ( aSet0(X35)
| X35 != sdtmndt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( aElement0(X36)
| ~ aElementOf0(X36,X35)
| X35 != sdtmndt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( aElementOf0(X36,X33)
| ~ aElementOf0(X36,X35)
| X35 != sdtmndt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( X36 != X34
| ~ aElementOf0(X36,X35)
| X35 != sdtmndt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( ~ aElement0(X37)
| ~ aElementOf0(X37,X33)
| X37 = X34
| aElementOf0(X37,X35)
| X35 != sdtmndt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( ~ aElementOf0(esk4_3(X33,X34,X38),X38)
| ~ aElement0(esk4_3(X33,X34,X38))
| ~ aElementOf0(esk4_3(X33,X34,X38),X33)
| esk4_3(X33,X34,X38) = X34
| ~ aSet0(X38)
| X38 = sdtmndt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( aElement0(esk4_3(X33,X34,X38))
| aElementOf0(esk4_3(X33,X34,X38),X38)
| ~ aSet0(X38)
| X38 = sdtmndt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( aElementOf0(esk4_3(X33,X34,X38),X33)
| aElementOf0(esk4_3(X33,X34,X38),X38)
| ~ aSet0(X38)
| X38 = sdtmndt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( esk4_3(X33,X34,X38) != X34
| aElementOf0(esk4_3(X33,X34,X38),X38)
| ~ aSet0(X38)
| X38 = sdtmndt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) ) ),
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)],[mDefDiff])])])])])]) ).
fof(c_0_9,negated_conjecture,
! [X42,X43,X45,X46] :
( ( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aSet0(sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElement0(X42)
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElementOf0(X42,xS)
| X42 = xx
| ~ aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aElementOf0(X42,xS)
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| X42 != xx
| ~ aElement0(X42)
| aElementOf0(X42,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElement0(X43)
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElementOf0(X43,sdtpldt0(xS,xx))
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| X43 != xx
| ~ aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aElement0(X43)
| ~ aElementOf0(X43,sdtpldt0(xS,xx))
| X43 = xx
| aElementOf0(X43,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(esk5_0,xS) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElementOf0(esk5_0,xS) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X45)
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X45,xS)
| X45 = xx
| ~ aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X45,xS)
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X45 != xx
| ~ aElement0(X45)
| aElementOf0(X45,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X46)
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X46,sdtpldt0(xS,xx))
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X46 != xx
| ~ aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X46)
| ~ aElementOf0(X46,sdtpldt0(xS,xx))
| X46 = xx
| aElementOf0(X46,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
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_7])])])])]) ).
fof(c_0_10,plain,
! [X26,X27,X28,X29,X30,X31] :
( ( aSet0(X28)
| X28 != sdtpldt0(X26,X27)
| ~ aSet0(X26)
| ~ aElement0(X27) )
& ( aElement0(X29)
| ~ aElementOf0(X29,X28)
| X28 != sdtpldt0(X26,X27)
| ~ aSet0(X26)
| ~ aElement0(X27) )
& ( aElementOf0(X29,X26)
| X29 = X27
| ~ aElementOf0(X29,X28)
| X28 != sdtpldt0(X26,X27)
| ~ aSet0(X26)
| ~ aElement0(X27) )
& ( ~ aElementOf0(X30,X26)
| ~ aElement0(X30)
| aElementOf0(X30,X28)
| X28 != sdtpldt0(X26,X27)
| ~ aSet0(X26)
| ~ aElement0(X27) )
& ( X30 != X27
| ~ aElement0(X30)
| aElementOf0(X30,X28)
| X28 != sdtpldt0(X26,X27)
| ~ aSet0(X26)
| ~ aElement0(X27) )
& ( ~ aElementOf0(esk3_3(X26,X27,X31),X26)
| ~ aElement0(esk3_3(X26,X27,X31))
| ~ aElementOf0(esk3_3(X26,X27,X31),X31)
| ~ aSet0(X31)
| X31 = sdtpldt0(X26,X27)
| ~ aSet0(X26)
| ~ aElement0(X27) )
& ( esk3_3(X26,X27,X31) != X27
| ~ aElement0(esk3_3(X26,X27,X31))
| ~ aElementOf0(esk3_3(X26,X27,X31),X31)
| ~ aSet0(X31)
| X31 = sdtpldt0(X26,X27)
| ~ aSet0(X26)
| ~ aElement0(X27) )
& ( aElement0(esk3_3(X26,X27,X31))
| aElementOf0(esk3_3(X26,X27,X31),X31)
| ~ aSet0(X31)
| X31 = sdtpldt0(X26,X27)
| ~ aSet0(X26)
| ~ aElement0(X27) )
& ( aElementOf0(esk3_3(X26,X27,X31),X26)
| esk3_3(X26,X27,X31) = X27
| aElementOf0(esk3_3(X26,X27,X31),X31)
| ~ aSet0(X31)
| X31 = sdtpldt0(X26,X27)
| ~ aSet0(X26)
| ~ aElement0(X27) ) ),
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)],[mDefCons])])])])])]) ).
cnf(c_0_11,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,X5)
| aElement0(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_14,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__679]) ).
cnf(c_0_18,negated_conjecture,
aSet0(sdtpldt0(xS,xx)),
inference(cn,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_23,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__679]) ).
cnf(c_0_24,negated_conjecture,
( aElementOf0(esk5_0,xS)
| ~ aElementOf0(esk6_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| X1 = xx
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_28,negated_conjecture,
( esk6_0 = xx
| aElementOf0(esk5_0,xS) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_17]),c_0_23])]),c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( X1 = xx
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(csr,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( esk6_0 = xx
| aElementOf0(esk5_0,sdtpldt0(xS,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23])]) ).
cnf(c_0_31,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_32,plain,
! [X40,X41] :
( ~ aSet0(X40)
| ~ aElementOf0(X41,X40)
| sdtpldt0(sdtmndt0(X40,X41),X41) = X40 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
cnf(c_0_33,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| aElementOf0(X2,sdtpldt0(xS,xx))
| X1 != xx
| ~ aElement0(X1)
| X2 != xx
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_34,negated_conjecture,
( esk6_0 = xx
| esk5_0 = xx
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_17])]),c_0_31]) ).
cnf(c_0_35,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,negated_conjecture,
aElementOf0(xx,sdtpldt0(xS,xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])]),c_0_17])]) ).
cnf(c_0_37,negated_conjecture,
( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_38,negated_conjecture,
( esk5_0 = xx
| esk6_0 = xx
| aElementOf0(esk6_0,sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_34]),c_0_17]),c_0_18])]) ).
cnf(c_0_39,negated_conjecture,
sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = sdtpldt0(xS,xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_18])]) ).
cnf(c_0_40,negated_conjecture,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(cn,[status(thm)],[c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_42,negated_conjecture,
( esk5_0 = xx
| esk6_0 = xx
| aElementOf0(esk6_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_38]),c_0_17]),c_0_23])]) ).
cnf(c_0_43,negated_conjecture,
( X1 = xx
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_39]),c_0_17]),c_0_40])]) ).
cnf(c_0_44,negated_conjecture,
( esk6_0 = xx
| esk5_0 = xx
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( X1 != xx
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_46,negated_conjecture,
( esk6_0 = xx
| esk5_0 = xx ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_30]),c_0_17])]),c_0_44]) ).
cnf(c_0_47,negated_conjecture,
~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])]) ).
cnf(c_0_48,negated_conjecture,
( esk5_0 = xx
| aElementOf0(esk5_0,xS) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_46]),c_0_47]) ).
cnf(c_0_49,negated_conjecture,
( esk5_0 = xx
| aElementOf0(esk5_0,sdtpldt0(xS,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_48]),c_0_23])]) ).
cnf(c_0_50,negated_conjecture,
( esk5_0 = xx
| aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_49]),c_0_17])]) ).
cnf(c_0_51,negated_conjecture,
( esk5_0 = xx
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_31,c_0_50]) ).
fof(c_0_52,hypothesis,
~ aElementOf0(xx,xS),
inference(fof_simplification,[status(thm)],[m__679_02]) ).
cnf(c_0_53,negated_conjecture,
esk5_0 = xx,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_47]) ).
cnf(c_0_54,hypothesis,
~ aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_55,negated_conjecture,
esk6_0 = xx,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_53]),c_0_54]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_53]),c_0_54]),c_0_55]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM537+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 11:22:55 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.68 % Version : CSE_E---1.5
% 0.20/0.68 % Problem : theBenchmark.p
% 0.20/0.68 % Proof found
% 0.20/0.68 % SZS status Theorem for theBenchmark.p
% 0.20/0.68 % SZS output start Proof
% See solution above
% 0.20/0.69 % Total time : 0.096000 s
% 0.20/0.69 % SZS output end Proof
% 0.20/0.69 % Total time : 0.099000 s
%------------------------------------------------------------------------------