TSTP Solution File: NUM619+3 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM619+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 : n031.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 10:39:19 EDT 2023
% Result : Theorem 175.46s 175.53s
% Output : CNFRefutation 175.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 116
% Syntax : Number of formulae : 186 ( 30 unt; 96 typ; 0 def)
% Number of atoms : 375 ( 79 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 459 ( 174 ~; 181 |; 76 &)
% ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 141 ( 74 >; 67 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 83 ( 83 usr; 22 con; 0-4 aty)
% Number of variables : 104 ( 0 sgn; 62 !; 1 ?; 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,
xQ: $i ).
tff(decl_59,type,
xp: $i ).
tff(decl_60,type,
xP: $i ).
tff(decl_61,type,
xn: $i ).
tff(decl_62,type,
xx: $i ).
tff(decl_63,type,
xm: $i ).
tff(decl_64,type,
epred1_1: $i > $o ).
tff(decl_65,type,
epred2_1: $i > $o ).
tff(decl_66,type,
epred3_1: $i > $o ).
tff(decl_67,type,
epred4_1: $i > $o ).
tff(decl_68,type,
esk1_1: $i > $i ).
tff(decl_69,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk5_1: $i > $i ).
tff(decl_73,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk10_1: $i > $i ).
tff(decl_78,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_86,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_87,type,
esk20_1: $i > $i ).
tff(decl_88,type,
esk21_1: $i > $i ).
tff(decl_89,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_90,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk31_1: $i > $i ).
tff(decl_99,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk34_1: $i > $i ).
tff(decl_102,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_103,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk37_1: $i > $i ).
tff(decl_105,type,
esk38_1: $i > $i ).
tff(decl_106,type,
esk39_1: $i > $i ).
tff(decl_107,type,
esk40_0: $i ).
tff(decl_108,type,
esk41_0: $i ).
tff(decl_109,type,
esk42_0: $i ).
tff(decl_110,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
esk48_1: $i > $i ).
tff(decl_116,type,
esk49_1: $i > $i ).
tff(decl_117,type,
esk50_2: ( $i * $i ) > $i ).
fof(mDefPtt,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtlbdtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,szDzozmdt0(X1))
& sdtlpdtrp0(X1,X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPtt) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
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__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(m__5365,hypothesis,
( aElementOf0(xx,szNzAzT0)
& ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = xx ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(m__3821,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& X1 != X2 )
=> ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X2))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X2))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
| szmzizndt0(sdtlpdtrp0(xN,X1)) = szmzizndt0(sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(m__5389,hypothesis,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(m__,conjecture,
aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(m__5401,hypothesis,
! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
fof(m__5106,hypothesis,
( ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(m__5147,hypothesis,
( aElementOf0(xp,xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(xp,X1) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
fof(m__5348,hypothesis,
( aElement0(xx)
& aElementOf0(xx,xQ)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(c_0_20,plain,
! [X136,X137,X138,X139,X140,X141] :
( ( aSet0(X138)
| X138 != sdtlbdtrb0(X136,X137)
| ~ aFunction0(X136)
| ~ aElement0(X137) )
& ( aElementOf0(X139,szDzozmdt0(X136))
| ~ aElementOf0(X139,X138)
| X138 != sdtlbdtrb0(X136,X137)
| ~ aFunction0(X136)
| ~ aElement0(X137) )
& ( sdtlpdtrp0(X136,X139) = X137
| ~ aElementOf0(X139,X138)
| X138 != sdtlbdtrb0(X136,X137)
| ~ aFunction0(X136)
| ~ aElement0(X137) )
& ( ~ aElementOf0(X140,szDzozmdt0(X136))
| sdtlpdtrp0(X136,X140) != X137
| aElementOf0(X140,X138)
| X138 != sdtlbdtrb0(X136,X137)
| ~ aFunction0(X136)
| ~ aElement0(X137) )
& ( ~ aElementOf0(esk13_3(X136,X137,X141),X141)
| ~ aElementOf0(esk13_3(X136,X137,X141),szDzozmdt0(X136))
| sdtlpdtrp0(X136,esk13_3(X136,X137,X141)) != X137
| ~ aSet0(X141)
| X141 = sdtlbdtrb0(X136,X137)
| ~ aFunction0(X136)
| ~ aElement0(X137) )
& ( aElementOf0(esk13_3(X136,X137,X141),szDzozmdt0(X136))
| aElementOf0(esk13_3(X136,X137,X141),X141)
| ~ aSet0(X141)
| X141 = sdtlbdtrb0(X136,X137)
| ~ aFunction0(X136)
| ~ aElement0(X137) )
& ( sdtlpdtrp0(X136,esk13_3(X136,X137,X141)) = X137
| aElementOf0(esk13_3(X136,X137,X141),X141)
| ~ aSet0(X141)
| X141 = sdtlbdtrb0(X136,X137)
| ~ aFunction0(X136)
| ~ aElement0(X137) ) ),
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)],[mDefPtt])])])])])]) ).
fof(c_0_21,plain,
! [X8,X9] :
( ~ aSet0(X8)
| ~ aElementOf0(X9,X8)
| aElement0(X9) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(c_0_22,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])])])]) ).
fof(c_0_23,hypothesis,
! [X226,X227] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( aElementOf0(sdtlpdtrp0(xe,X226),sdtlpdtrp0(xN,X226))
| ~ aElementOf0(X226,szNzAzT0) )
& ( ~ aElementOf0(X227,sdtlpdtrp0(xN,X226))
| sdtlseqdt0(sdtlpdtrp0(xe,X226),X227)
| ~ aElementOf0(X226,szNzAzT0) )
& ( sdtlpdtrp0(xe,X226) = szmzizndt0(sdtlpdtrp0(xN,X226))
| ~ aElementOf0(X226,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])])]) ).
cnf(c_0_24,plain,
( aElementOf0(X1,szDzozmdt0(X2))
| ~ aElementOf0(X1,X3)
| X3 != sdtlbdtrb0(X2,X4)
| ~ aFunction0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_25,hypothesis,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(esk42_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,esk42_0) = xx ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__5365])]) ).
fof(c_0_26,hypothesis,
! [X228,X229] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( aElementOf0(esk36_2(X228,X229),X229)
| sbrdtbr0(X229) != xk
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) )
& ( ~ aElementOf0(esk36_2(X228,X229),sdtlpdtrp0(xN,szszuzczcdt0(X228)))
| sbrdtbr0(X229) != xk
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) )
& ( ~ aSubsetOf0(X229,sdtlpdtrp0(xN,szszuzczcdt0(X228)))
| sbrdtbr0(X229) != xk
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) )
& ( ~ aElementOf0(X229,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X228)),xk))
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])])])]) ).
cnf(c_0_27,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,hypothesis,
aElementOf0(szDzizrdt0(xd),xT),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
fof(c_0_30,hypothesis,
! [X208,X209,X210] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X208)),sdtlpdtrp0(xN,X208))
| ~ aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0)
| X208 = X209 )
& ( ~ aElementOf0(X210,sdtlpdtrp0(xN,X208))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X208)),X210)
| ~ aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0)
| X208 = X209 )
& ( aElementOf0(esk32_2(X208,X209),sdtlpdtrp0(xN,X209))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X208)),sdtlpdtrp0(xN,X209))
| ~ aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0)
| X208 = X209 )
& ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X208)),esk32_2(X208,X209))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X208)),sdtlpdtrp0(xN,X209))
| ~ aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0)
| X208 = X209 )
& ( szmzizndt0(sdtlpdtrp0(xN,X208)) != szmzizndt0(sdtlpdtrp0(xN,X209))
| ~ aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0)
| X208 = X209 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3821])])])])]) ).
cnf(c_0_31,hypothesis,
xx = sdtlpdtrp0(xe,xm),
inference(split_conjunct,[status(thm)],[m__5389]) ).
cnf(c_0_32,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5389]) ).
cnf(c_0_34,plain,
( aElementOf0(X1,szDzozmdt0(X2))
| ~ aFunction0(X2)
| ~ aElementOf0(X1,sdtlbdtrb0(X2,X3))
| ~ aElement0(X3) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_35,hypothesis,
aElementOf0(esk42_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,hypothesis,
aFunction0(xd),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,hypothesis,
aElement0(szDzizrdt0(xd)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_39,hypothesis,
( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,hypothesis,
sdtlpdtrp0(xe,esk42_0) = xx,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41,hypothesis,
( X1 = X2
| szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_43,hypothesis,
aElementOf0(esk42_0,szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).
fof(c_0_44,hypothesis,
! [X205,X206,X207] :
( ( ~ aElementOf0(X207,sdtlpdtrp0(xN,X205))
| aElementOf0(X207,sdtlpdtrp0(xN,X206))
| ~ sdtlseqdt0(X206,X205)
| ~ aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X205),sdtlpdtrp0(xN,X206))
| ~ sdtlseqdt0(X206,X205)
| ~ aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X206,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])]) ).
cnf(c_0_45,hypothesis,
( aElementOf0(xx,sdtlpdtrp0(xN,esk42_0))
| ~ aElementOf0(esk42_0,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,hypothesis,
( X1 = xm
| szmzizndt0(sdtlpdtrp0(xN,X1)) != xx
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_33])]) ).
cnf(c_0_47,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,esk42_0)) = xx,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_32]),c_0_43])]) ).
fof(c_0_48,plain,
! [X99,X100,X101,X102,X103] :
( ( aSet0(X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( aElementOf0(X101,szNzAzT0)
| ~ aElementOf0(X101,X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X101),X99)
| ~ aElementOf0(X101,X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( ~ aElementOf0(X102,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X102),X99)
| aElementOf0(X102,X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X99,X103),X103)
| ~ aElementOf0(esk9_2(X99,X103),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X99,X103)),X99)
| ~ aSet0(X103)
| X103 = slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( aElementOf0(esk9_2(X99,X103),szNzAzT0)
| aElementOf0(esk9_2(X99,X103),X103)
| ~ aSet0(X103)
| X103 = slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X99,X103)),X99)
| aElementOf0(esk9_2(X99,X103),X103)
| ~ aSet0(X103)
| X103 = slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSeg])])])])])]) ).
cnf(c_0_49,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,hypothesis,
aElementOf0(xx,sdtlpdtrp0(xN,esk42_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_43])]) ).
cnf(c_0_51,hypothesis,
esk42_0 = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_43])]) ).
cnf(c_0_52,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_53,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_54,hypothesis,
( aElementOf0(xx,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_43])]),c_0_51]) ).
cnf(c_0_55,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_56,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_57,plain,
! [X72,X73] :
( ~ aElementOf0(X72,szNzAzT0)
| ~ aElementOf0(X73,szNzAzT0)
| sdtlseqdt0(X72,X73)
| sdtlseqdt0(szszuzczcdt0(X73),X72) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(c_0_58,plain,
! [X67,X68] :
( ~ aElementOf0(X67,szNzAzT0)
| ~ aElementOf0(X68,szNzAzT0)
| ~ sdtlseqdt0(X67,X68)
| ~ sdtlseqdt0(X68,X67)
| X67 = X68 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(c_0_59,hypothesis,
! [X259] :
( ~ aElementOf0(X259,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5401])]) ).
fof(c_0_60,hypothesis,
! [X249] :
( ( ~ aElementOf0(X249,xQ)
| aElementOf0(X249,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5106])])]) ).
fof(c_0_61,hypothesis,
! [X252] :
( aElementOf0(xp,xQ)
& ( ~ aElementOf0(X252,xQ)
| sdtlseqdt0(xp,X252) )
& xp = szmzizndt0(xQ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5147])])]) ).
cnf(c_0_62,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_63,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_64,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,hypothesis,
( aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_33])]) ).
cnf(c_0_66,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_67,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_68,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_69,hypothesis,
( sdtlseqdt0(xx,X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_70,hypothesis,
aElementOf0(xx,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_71,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_73,hypothesis,
xx != szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[m__5348]) ).
cnf(c_0_74,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_75,hypothesis,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_62]),c_0_63])]) ).
cnf(c_0_76,negated_conjecture,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_77,plain,
( sdtlseqdt0(X1,X2)
| aElementOf0(X2,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_78,hypothesis,
( X1 = xx
| ~ sdtlseqdt0(X1,xx)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_79,hypothesis,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_80,hypothesis,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_81,hypothesis,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[m__5348]) ).
cnf(c_0_82,hypothesis,
xp != xx,
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,hypothesis,
( aElementOf0(xp,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_75]),c_0_63])]) ).
cnf(c_0_84,negated_conjecture,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_33]),c_0_63])]) ).
cnf(c_0_85,hypothesis,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81])]),c_0_82]) ).
fof(c_0_86,plain,
! [X55] :
( ( aElementOf0(szszuzczcdt0(X55),szNzAzT0)
| ~ aElementOf0(X55,szNzAzT0) )
& ( szszuzczcdt0(X55) != sz00
| ~ aElementOf0(X55,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
cnf(c_0_87,hypothesis,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_33])]),c_0_85]) ).
cnf(c_0_88,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_89,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM619+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
% 0.12/0.35 % Computer : n031.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri Aug 25 11:33:37 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 175.46/175.53 % Version : CSE_E---1.5
% 175.46/175.53 % Problem : theBenchmark.p
% 175.46/175.53 % Proof found
% 175.46/175.53 % SZS status Theorem for theBenchmark.p
% 175.46/175.53 % SZS output start Proof
% See solution above
% 175.46/175.54 % Total time : 174.881000 s
% 175.46/175.54 % SZS output end Proof
% 175.46/175.54 % Total time : 174.896000 s
%------------------------------------------------------------------------------