TSTP Solution File: NUM592+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM592+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 10:39:05 EDT 2023
% Result : Theorem 18.89s 19.01s
% Output : CNFRefutation 18.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 89
% Syntax : Number of formulae : 113 ( 7 unt; 85 typ; 0 def)
% Number of atoms : 473 ( 63 equ)
% Maximal formula atoms : 304 ( 16 avg)
% Number of connectives : 635 ( 190 ~; 293 |; 124 &)
% ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 136 ( 70 >; 66 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 72 ( 72 usr; 15 con; 0-4 aty)
% Number of variables : 55 ( 0 sgn; 33 !; 5 ?; 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,
xY: $i ).
tff(decl_57,type,
xd: $i ).
tff(decl_58,type,
xu: $i ).
tff(decl_59,type,
xX: $i ).
tff(decl_60,type,
epred1_1: $i > $o ).
tff(decl_61,type,
epred2_1: $i > $o ).
tff(decl_62,type,
epred3_1: $i > $o ).
tff(decl_63,type,
epred4_1: $i > $o ).
tff(decl_64,type,
esk1_1: $i > $i ).
tff(decl_65,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk5_1: $i > $i ).
tff(decl_69,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk10_1: $i > $i ).
tff(decl_74,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk20_1: $i > $i ).
tff(decl_84,type,
esk21_1: $i > $i ).
tff(decl_85,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_86,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk31_1: $i > $i ).
tff(decl_95,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk34_1: $i > $i ).
tff(decl_98,type,
esk35_1: $i > $i ).
tff(decl_99,type,
esk36_1: $i > $i ).
tff(decl_100,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_102,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_103,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_106,type,
esk43_2: ( $i * $i ) > $i ).
fof(m__4448_02,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(xY)
& ! [X1] :
( aElementOf0(X1,xY)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& X1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448_02) ).
fof(m__4545,hypothesis,
( aElementOf0(xu,xT)
& aSet0(xX)
& ! [X1] :
( aElementOf0(X1,xX)
=> aElementOf0(X1,xY) )
& aSubsetOf0(xX,xY)
& isCountable0(xX)
& ! [X1] :
( ( aSet0(X1)
& ( ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xX) )
| aSubsetOf0(X1,xX) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(xX,xk)) ) )
=> sdtlpdtrp0(xd,X1) = xu ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4545) ).
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,xi))
& X3 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xk
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_3,plain,
! [X1] :
( epred4_1(X1)
<=> ? [X2] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,xi))
& X3 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xk
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3) = X1 ) ) ),
introduced(definition) ).
fof(c_0_4,plain,
! [X1] :
( ? [X2] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,xi))
& X3 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xk
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3) = X1 ) )
=> epred4_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
fof(c_0_5,plain,
! [X275,X276,X277,X278,X279,X282] :
( ( aSet0(esk43_2(X275,X276))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) ) ),
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_4])])])])])]) ).
fof(c_0_6,hypothesis,
! [X221,X222] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X221) )
& aSet0(xY)
& ( aElement0(X222)
| ~ aElementOf0(X222,xY) )
& ( aElementOf0(X222,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X222,xY) )
& ( X222 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X222,xY) )
& ( ~ aElement0(X222)
| ~ aElementOf0(X222,sdtlpdtrp0(xN,xi))
| X222 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X222,xY) )
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4448_02])])])]) ).
cnf(c_0_7,plain,
( aElementOf0(esk43_2(X1,X2),slbdtsldtrb0(X2,xk))
| epred4_1(X1)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,hypothesis,
! [X233,X234] :
( aElementOf0(xu,xT)
& aSet0(xX)
& ( ~ aElementOf0(X233,xX)
| aElementOf0(X233,xY) )
& aSubsetOf0(xX,xY)
& isCountable0(xX)
& ( aElementOf0(esk36_1(X234),X234)
| sbrdtbr0(X234) != xk
| ~ aSet0(X234)
| sdtlpdtrp0(xd,X234) = xu )
& ( ~ aElementOf0(esk36_1(X234),xX)
| sbrdtbr0(X234) != xk
| ~ aSet0(X234)
| sdtlpdtrp0(xd,X234) = xu )
& ( ~ aSubsetOf0(X234,xX)
| sbrdtbr0(X234) != xk
| ~ aSet0(X234)
| sdtlpdtrp0(xd,X234) = xu )
& ( ~ aElementOf0(X234,slbdtsldtrb0(xX,xk))
| ~ aSet0(X234)
| sdtlpdtrp0(xd,X234) = xu ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4545])])])])]) ).
cnf(c_0_10,plain,
( aSet0(esk43_2(X1,X2))
| epred4_1(X1)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_11,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,xT)
& epred4_1(X1) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[m__]),c_0_3]) ).
cnf(c_0_12,plain,
( epred4_1(X1)
| aElementOf0(esk43_2(X1,X2),slbdtsldtrb0(X2,xk))
| ~ aSubsetOf0(X2,xY)
| ~ isCountable0(X2) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,hypothesis,
aSubsetOf0(xX,xY),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,hypothesis,
isCountable0(xX),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( epred4_1(X1)
| aSet0(esk43_2(X1,X2))
| ~ aSubsetOf0(X2,xY)
| ~ isCountable0(X2) ),
inference(rw,[status(thm)],[c_0_10,c_0_8]) ).
fof(c_0_16,negated_conjecture,
! [X236] :
( ~ aElementOf0(X236,xT)
| ~ epred4_1(X236) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
cnf(c_0_17,plain,
( epred4_1(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X1,X2)) != X1
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,hypothesis,
xd = sdtlpdtrp0(xC,xi),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,hypothesis,
( sdtlpdtrp0(xd,X1) = xu
| ~ aElementOf0(X1,slbdtsldtrb0(xX,xk))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,hypothesis,
( epred4_1(X1)
| aElementOf0(esk43_2(X1,xX),slbdtsldtrb0(xX,xk)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_21,hypothesis,
( epred4_1(X1)
| aSet0(esk43_2(X1,xX)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_14])]) ).
cnf(c_0_22,negated_conjecture,
( ~ aElementOf0(X1,xT)
| ~ epred4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,hypothesis,
aElementOf0(xu,xT),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,plain,
( epred4_1(X1)
| sdtlpdtrp0(xd,esk43_2(X1,X2)) != X1
| ~ aSubsetOf0(X2,xY)
| ~ isCountable0(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_8]) ).
cnf(c_0_25,hypothesis,
( sdtlpdtrp0(xd,esk43_2(X1,xX)) = xu
| epred4_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_26,hypothesis,
~ epred4_1(xu),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_13]),c_0_14])])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM592+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n026.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 09:52:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 18.89/19.01 % Version : CSE_E---1.5
% 18.89/19.01 % Problem : theBenchmark.p
% 18.89/19.01 % Proof found
% 18.89/19.01 % SZS status Theorem for theBenchmark.p
% 18.89/19.01 % SZS output start Proof
% See solution above
% 18.89/19.02 % Total time : 18.436000 s
% 18.89/19.02 % SZS output end Proof
% 18.89/19.02 % Total time : 18.445000 s
%------------------------------------------------------------------------------