TSTP Solution File: NUM633+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM633+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 : n027.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 10:39:32 EDT 2023
% Result : Theorem 4.19s 4.48s
% Output : CNFRefutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 95
% Syntax : Number of formulae : 113 ( 7 unt; 91 typ; 0 def)
% Number of atoms : 345 ( 65 equ)
% Maximal formula atoms : 229 ( 15 avg)
% Number of connectives : 512 ( 189 ~; 200 |; 103 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 147 ( 78 >; 69 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 78 ( 78 usr; 13 con; 0-4 aty)
% Number of variables : 42 ( 0 sgn; 27 !; 6 ?; 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,
xe: $i ).
tff(decl_56,type,
xd: $i ).
tff(decl_57,type,
xO: $i ).
tff(decl_58,type,
epred1_1: $i > $o ).
tff(decl_59,type,
epred2_1: $i > $o ).
tff(decl_60,type,
epred3_1: $i > $o ).
tff(decl_61,type,
epred4_1: $i > $o ).
tff(decl_62,type,
esk1_1: $i > $i ).
tff(decl_63,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk5_1: $i > $i ).
tff(decl_67,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk10_1: $i > $i ).
tff(decl_72,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_80,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk20_1: $i > $i ).
tff(decl_82,type,
esk21_1: $i > $i ).
tff(decl_83,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk31_1: $i > $i ).
tff(decl_93,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk34_1: $i > $i ).
tff(decl_96,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk37_1: $i > $i ).
tff(decl_99,type,
esk38_1: $i > $i ).
tff(decl_100,type,
esk39_1: $i > $i ).
tff(decl_101,type,
esk40_1: $i > $i ).
tff(decl_102,type,
esk41_1: $i > $i ).
tff(decl_103,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_105,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_106,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
esk49_1: $i > $i ).
tff(decl_111,type,
esk50_1: $i > $i ).
tff(decl_112,type,
esk51_2: ( $i * $i ) > $i ).
fof(m__,conjecture,
( ! [X1] :
( ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xO) ) )
| aSubsetOf0(X1,xO) )
& sbrdtbr0(X1) = xK )
| aElementOf0(X1,slbdtsldtrb0(xO,xK)) )
=> ( ~ ( ~ ? [X2] : aElementOf0(X2,X1)
| X1 = slcrc0 )
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(X1,szNzAzT0)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& aElementOf0(X1,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X1) = szDzizrdt0(xd) ) )
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,xS) ) )
| aSubsetOf0(X2,xS) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xK
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
=> sdtlpdtrp0(xc,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__4854,hypothesis,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
fof(m__4998,hypothesis,
( ! [X1] :
( aElementOf0(X1,xO)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(m__4908,hypothesis,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1] :
( ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xO) ) )
| aSubsetOf0(X1,xO) )
& sbrdtbr0(X1) = xK )
| aElementOf0(X1,slbdtsldtrb0(xO,xK)) )
=> ( ~ ( ~ ? [X2] : aElementOf0(X2,X1)
| X1 = slcrc0 )
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(X1,szNzAzT0)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& aElementOf0(X1,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X1) = szDzizrdt0(xd) ) )
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,xS) ) )
| aSubsetOf0(X2,xS) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xK
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
=> sdtlpdtrp0(xc,X3) = X1 ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
! [X246,X249,X250,X251,X252,X253,X256] :
( ( aElementOf0(esk41_1(X246),X246)
| aElementOf0(esk40_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( X246 != slcrc0
| aElementOf0(esk40_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( ~ aElementOf0(X249,X246)
| aElementOf0(X249,szNzAzT0)
| aElementOf0(esk40_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( aSubsetOf0(X246,szNzAzT0)
| aElementOf0(esk40_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( ~ aElementOf0(X250,X246)
| aElementOf0(X250,xS)
| aElementOf0(esk40_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( aSubsetOf0(X246,xS)
| aElementOf0(esk40_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( ~ aElementOf0(X251,X246)
| aElementOf0(X251,xS)
| aElementOf0(esk40_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( aSubsetOf0(X246,xS)
| aElementOf0(esk40_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( aElementOf0(X246,szDzozmdt0(xc))
| aElementOf0(esk40_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( sdtlpdtrp0(xc,X246) = szDzizrdt0(xd)
| aElementOf0(esk40_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( aElementOf0(esk41_1(X246),X246)
| ~ aElementOf0(esk40_1(X246),xO)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( X246 != slcrc0
| ~ aElementOf0(esk40_1(X246),xO)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( ~ aElementOf0(X249,X246)
| aElementOf0(X249,szNzAzT0)
| ~ aElementOf0(esk40_1(X246),xO)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( aSubsetOf0(X246,szNzAzT0)
| ~ aElementOf0(esk40_1(X246),xO)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( ~ aElementOf0(X250,X246)
| aElementOf0(X250,xS)
| ~ aElementOf0(esk40_1(X246),xO)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( aSubsetOf0(X246,xS)
| ~ aElementOf0(esk40_1(X246),xO)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( ~ aElementOf0(X251,X246)
| aElementOf0(X251,xS)
| ~ aElementOf0(esk40_1(X246),xO)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( aSubsetOf0(X246,xS)
| ~ aElementOf0(esk40_1(X246),xO)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( aElementOf0(X246,szDzozmdt0(xc))
| ~ aElementOf0(esk40_1(X246),xO)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( sdtlpdtrp0(xc,X246) = szDzizrdt0(xd)
| ~ aElementOf0(esk40_1(X246),xO)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xK )
& ( aElementOf0(esk41_1(X246),X246)
| ~ aSubsetOf0(X246,xO)
| sbrdtbr0(X246) != xK )
& ( X246 != slcrc0
| ~ aSubsetOf0(X246,xO)
| sbrdtbr0(X246) != xK )
& ( ~ aElementOf0(X249,X246)
| aElementOf0(X249,szNzAzT0)
| ~ aSubsetOf0(X246,xO)
| sbrdtbr0(X246) != xK )
& ( aSubsetOf0(X246,szNzAzT0)
| ~ aSubsetOf0(X246,xO)
| sbrdtbr0(X246) != xK )
& ( ~ aElementOf0(X250,X246)
| aElementOf0(X250,xS)
| ~ aSubsetOf0(X246,xO)
| sbrdtbr0(X246) != xK )
& ( aSubsetOf0(X246,xS)
| ~ aSubsetOf0(X246,xO)
| sbrdtbr0(X246) != xK )
& ( ~ aElementOf0(X251,X246)
| aElementOf0(X251,xS)
| ~ aSubsetOf0(X246,xO)
| sbrdtbr0(X246) != xK )
& ( aSubsetOf0(X246,xS)
| ~ aSubsetOf0(X246,xO)
| sbrdtbr0(X246) != xK )
& ( aElementOf0(X246,szDzozmdt0(xc))
| ~ aSubsetOf0(X246,xO)
| sbrdtbr0(X246) != xK )
& ( sdtlpdtrp0(xc,X246) = szDzizrdt0(xd)
| ~ aSubsetOf0(X246,xO)
| sbrdtbr0(X246) != xK )
& ( aElementOf0(esk41_1(X246),X246)
| ~ aElementOf0(X246,slbdtsldtrb0(xO,xK)) )
& ( X246 != slcrc0
| ~ aElementOf0(X246,slbdtsldtrb0(xO,xK)) )
& ( ~ aElementOf0(X249,X246)
| aElementOf0(X249,szNzAzT0)
| ~ aElementOf0(X246,slbdtsldtrb0(xO,xK)) )
& ( aSubsetOf0(X246,szNzAzT0)
| ~ aElementOf0(X246,slbdtsldtrb0(xO,xK)) )
& ( ~ aElementOf0(X250,X246)
| aElementOf0(X250,xS)
| ~ aElementOf0(X246,slbdtsldtrb0(xO,xK)) )
& ( aSubsetOf0(X246,xS)
| ~ aElementOf0(X246,slbdtsldtrb0(xO,xK)) )
& ( ~ aElementOf0(X251,X246)
| aElementOf0(X251,xS)
| ~ aElementOf0(X246,slbdtsldtrb0(xO,xK)) )
& ( aSubsetOf0(X246,xS)
| ~ aElementOf0(X246,slbdtsldtrb0(xO,xK)) )
& ( aElementOf0(X246,szDzozmdt0(xc))
| ~ aElementOf0(X246,slbdtsldtrb0(xO,xK)) )
& ( sdtlpdtrp0(xc,X246) = szDzizrdt0(xd)
| ~ aElementOf0(X246,slbdtsldtrb0(xO,xK)) )
& ( aSet0(esk43_2(X252,X253))
| aElementOf0(esk42_2(X252,X253),X253)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( ~ aElementOf0(X256,esk43_2(X252,X253))
| aElementOf0(X256,X253)
| aElementOf0(esk42_2(X252,X253),X253)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( aSubsetOf0(esk43_2(X252,X253),X253)
| aElementOf0(esk42_2(X252,X253),X253)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( sbrdtbr0(esk43_2(X252,X253)) = xK
| aElementOf0(esk42_2(X252,X253),X253)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( aElementOf0(esk43_2(X252,X253),slbdtsldtrb0(X253,xK))
| aElementOf0(esk42_2(X252,X253),X253)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( sdtlpdtrp0(xc,esk43_2(X252,X253)) != X252
| aElementOf0(esk42_2(X252,X253),X253)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( aSet0(esk43_2(X252,X253))
| ~ aElementOf0(esk42_2(X252,X253),xS)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( ~ aElementOf0(X256,esk43_2(X252,X253))
| aElementOf0(X256,X253)
| ~ aElementOf0(esk42_2(X252,X253),xS)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( aSubsetOf0(esk43_2(X252,X253),X253)
| ~ aElementOf0(esk42_2(X252,X253),xS)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( sbrdtbr0(esk43_2(X252,X253)) = xK
| ~ aElementOf0(esk42_2(X252,X253),xS)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( aElementOf0(esk43_2(X252,X253),slbdtsldtrb0(X253,xK))
| ~ aElementOf0(esk42_2(X252,X253),xS)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( sdtlpdtrp0(xc,esk43_2(X252,X253)) != X252
| ~ aElementOf0(esk42_2(X252,X253),xS)
| ~ aSet0(X253)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( aSet0(esk43_2(X252,X253))
| ~ aSubsetOf0(X253,xS)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( ~ aElementOf0(X256,esk43_2(X252,X253))
| aElementOf0(X256,X253)
| ~ aSubsetOf0(X253,xS)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( aSubsetOf0(esk43_2(X252,X253),X253)
| ~ aSubsetOf0(X253,xS)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( sbrdtbr0(esk43_2(X252,X253)) = xK
| ~ aSubsetOf0(X253,xS)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( aElementOf0(esk43_2(X252,X253),slbdtsldtrb0(X253,xK))
| ~ aSubsetOf0(X253,xS)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) )
& ( sdtlpdtrp0(xc,esk43_2(X252,X253)) != X252
| ~ aSubsetOf0(X253,xS)
| ~ isCountable0(X253)
| ~ aElementOf0(X252,xT) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_6,hypothesis,
! [X236] :
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( aElementOf0(X236,szDzozmdt0(xd))
| ~ aElementOf0(X236,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( sdtlpdtrp0(xd,X236) = szDzizrdt0(xd)
| ~ aElementOf0(X236,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X236,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X236) != szDzizrdt0(xd)
| aElementOf0(X236,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4854])])])]) ).
cnf(c_0_7,negated_conjecture,
( sbrdtbr0(esk43_2(X1,X2)) = xK
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
aElementOf0(szDzizrdt0(xd),xT),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,hypothesis,
! [X245] :
( ( ~ aElementOf0(X245,xO)
| aElementOf0(X245,xS) )
& aSubsetOf0(xO,xS) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4998])])]) ).
cnf(c_0_10,hypothesis,
( sbrdtbr0(esk43_2(szDzizrdt0(xd),X1)) = xK
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,hypothesis,
aSubsetOf0(xO,xS),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,hypothesis,
isCountable0(xO),
inference(split_conjunct,[status(thm)],[m__4908]) ).
cnf(c_0_13,negated_conjecture,
( aSubsetOf0(esk43_2(X1,X2),X2)
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( sdtlpdtrp0(xc,X1) = szDzizrdt0(xd)
| ~ aSubsetOf0(X1,xO)
| sbrdtbr0(X1) != xK ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,hypothesis,
sbrdtbr0(esk43_2(szDzizrdt0(xd),xO)) = xK,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_16,hypothesis,
( aSubsetOf0(esk43_2(szDzizrdt0(xd),X1),X1)
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( sdtlpdtrp0(xc,esk43_2(szDzizrdt0(xd),xO)) = szDzizrdt0(xd)
| ~ aSubsetOf0(esk43_2(szDzizrdt0(xd),xO),xO) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,hypothesis,
aSubsetOf0(esk43_2(szDzizrdt0(xd),xO),xO),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_12])]) ).
cnf(c_0_19,negated_conjecture,
( sdtlpdtrp0(xc,esk43_2(X1,X2)) != X1
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
sdtlpdtrp0(xc,esk43_2(szDzizrdt0(xd),xO)) = szDzizrdt0(xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_11]),c_0_12]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM633+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
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 13:03:04 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 4.19/4.48 % Version : CSE_E---1.5
% 4.19/4.48 % Problem : theBenchmark.p
% 4.19/4.48 % Proof found
% 4.19/4.48 % SZS status Theorem for theBenchmark.p
% 4.19/4.48 % SZS output start Proof
% See solution above
% 4.19/4.48 % Total time : 3.910000 s
% 4.19/4.48 % SZS output end Proof
% 4.19/4.48 % Total time : 3.919000 s
%------------------------------------------------------------------------------