TSTP Solution File: NUM628+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM628+1 : 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 : n007.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 10:39:27 EDT 2023
% Result : Theorem 2.43s 2.48s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 86
% Syntax : Number of formulae : 145 ( 33 unt; 65 typ; 0 def)
% Number of atoms : 271 ( 66 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 309 ( 118 ~; 118 |; 53 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 89 ( 48 >; 41 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 17 con; 0-4 aty)
% Number of variables : 77 ( 0 sgn; 43 !; 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,
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,
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_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk22_1: $i > $i ).
tff(decl_84,type,
esk23_1: $i > $i ).
tff(decl_85,type,
esk24_1: $i > $i ).
tff(decl_86,type,
esk25_1: $i > $i ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(m__5217,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5217) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(m__4331,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2) )
=> ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4331) ).
fof(m__5334,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5334) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(m__5164,hypothesis,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(m__5147,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(m__5093,hypothesis,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
fof(m__4891,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
fof(m__5173,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5173) ).
fof(m__,conjecture,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_21,plain,
! [X54] :
( ( aElementOf0(szszuzczcdt0(X54),szNzAzT0)
| ~ aElementOf0(X54,szNzAzT0) )
& ( szszuzczcdt0(X54) != sz00
| ~ aElementOf0(X54,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(c_0_22,plain,
! [X112,X113,X114,X115,X116,X117] :
( ( aSet0(X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( aSubsetOf0(X115,X112)
| ~ aElementOf0(X115,X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( sbrdtbr0(X115) = X113
| ~ aElementOf0(X115,X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( ~ aSubsetOf0(X116,X112)
| sbrdtbr0(X116) != X113
| aElementOf0(X116,X114)
| X114 != slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X112,X113,X117),X117)
| ~ aSubsetOf0(esk11_3(X112,X113,X117),X112)
| sbrdtbr0(esk11_3(X112,X113,X117)) != X113
| ~ aSet0(X117)
| X117 = slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X112,X113,X117),X112)
| aElementOf0(esk11_3(X112,X113,X117),X117)
| ~ aSet0(X117)
| X117 = slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X112,X113,X117)) = X113
| aElementOf0(esk11_3(X112,X113,X117),X117)
| ~ aSet0(X117)
| X117 = slbdtsldtrb0(X112,X113)
| ~ aSet0(X112)
| ~ aElementOf0(X113,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)],[mDefSel])])])])])]) ).
fof(c_0_23,hypothesis,
! [X175] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X175),szNzAzT0)
| ~ aElementOf0(X175,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X175))
| ~ aElementOf0(X175,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
cnf(c_0_24,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
fof(c_0_26,hypothesis,
! [X195] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( ~ aElementOf0(X195,szNzAzT0)
| sdtlpdtrp0(xe,X195) = szmzizndt0(sdtlpdtrp0(xN,X195)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])]) ).
cnf(c_0_27,plain,
( aElementOf0(X1,X4)
| ~ aSubsetOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X4 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X15,X16,X17,X18] :
( ( aSet0(X16)
| ~ aSubsetOf0(X16,X15)
| ~ aSet0(X15) )
& ( ~ aElementOf0(X17,X16)
| aElementOf0(X17,X15)
| ~ aSubsetOf0(X16,X15)
| ~ aSet0(X15) )
& ( aElementOf0(esk2_2(X15,X18),X18)
| ~ aSet0(X18)
| aSubsetOf0(X18,X15)
| ~ aSet0(X15) )
& ( ~ aElementOf0(esk2_2(X15,X18),X15)
| ~ aSet0(X18)
| aSubsetOf0(X18,X15)
| ~ aSet0(X15) ) ),
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)],[mDefSub])])])])])]) ).
cnf(c_0_29,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,hypothesis,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_31,hypothesis,
! [X182,X183] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( aFunction0(sdtlpdtrp0(xC,X182))
| ~ aElementOf0(X182,szNzAzT0) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X182)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X182),szmzizndt0(sdtlpdtrp0(xN,X182))),xk)
| ~ aElementOf0(X182,szNzAzT0) )
& ( ~ aSet0(X183)
| ~ aElementOf0(X183,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X182),szmzizndt0(sdtlpdtrp0(xN,X182))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X182),X183) = sdtlpdtrp0(xc,sdtpldt0(X183,szmzizndt0(sdtlpdtrp0(xN,X182))))
| ~ aElementOf0(X182,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4151])])])]) ).
cnf(c_0_32,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_34,plain,
( aElementOf0(X1,X2)
| X2 != slbdtsldtrb0(X3,sbrdtbr0(X1))
| ~ aSubsetOf0(X1,X3)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_35,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[m__5217]) ).
cnf(c_0_36,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_37,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),szNzAzT0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
fof(c_0_40,hypothesis,
! [X174] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X174)),sdtmndt0(sdtlpdtrp0(xN,X174),szmzizndt0(sdtlpdtrp0(xN,X174))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X174),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X174))
| ~ aElementOf0(X174,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X174)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X174),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X174))
| ~ aElementOf0(X174,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])]) ).
fof(c_0_41,hypothesis,
! [X185,X186,X187] :
( ~ aElementOf0(X185,szNzAzT0)
| ~ aSubsetOf0(X186,sdtmndt0(sdtlpdtrp0(xN,X185),szmzizndt0(sdtlpdtrp0(xN,X185))))
| ~ isCountable0(X186)
| ~ aSet0(X187)
| ~ aElementOf0(X187,slbdtsldtrb0(X186,xk))
| aElementOf0(X187,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X185),szmzizndt0(sdtlpdtrp0(xN,X185))),xk)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4331])])]) ).
cnf(c_0_42,hypothesis,
( szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xn)) = xp,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_33]) ).
cnf(c_0_44,hypothesis,
( aElementOf0(xP,X1)
| X1 != slbdtsldtrb0(X2,xk)
| ~ aSubsetOf0(xP,X2)
| ~ aSet0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_45,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[m__5334]) ).
cnf(c_0_46,hypothesis,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_47,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_49,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_50,hypothesis,
! [X196,X197] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( ~ aElementOf0(X196,szNzAzT0)
| ~ aSet0(X197)
| ~ aElementOf0(X197,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X196)),xk))
| sdtlpdtrp0(xd,X196) = sdtlpdtrp0(sdtlpdtrp0(xC,X196),X197) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])]) ).
cnf(c_0_51,hypothesis,
( aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ isCountable0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(X3,slbdtsldtrb0(X2,xk)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,hypothesis,
slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),xp),xk) = szDzozmdt0(sdtlpdtrp0(xC,xn)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_25]),c_0_43]) ).
cnf(c_0_53,hypothesis,
( aElementOf0(xP,X1)
| X1 != slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_54,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_47,c_0_48]),c_0_29]) ).
cnf(c_0_55,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_49,c_0_48]),c_0_29]) ).
fof(c_0_56,plain,
! [X42,X43] :
( ~ aSet0(X42)
| ~ aElementOf0(X43,X42)
| sdtpldt0(sdtmndt0(X42,X43),X43) = X42 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
cnf(c_0_57,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[m__5164]) ).
cnf(c_0_58,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[m__5147]) ).
cnf(c_0_59,hypothesis,
aSubsetOf0(xQ,xO),
inference(split_conjunct,[status(thm)],[m__5093]) ).
cnf(c_0_60,hypothesis,
aSet0(xO),
inference(split_conjunct,[status(thm)],[m__4891]) ).
cnf(c_0_61,hypothesis,
( sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))),xk))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_63,hypothesis,
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xn)))
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xn),xp))
| ~ isCountable0(X2)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,xk))
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_25]),c_0_43]),c_0_52]),c_0_43]) ).
cnf(c_0_64,hypothesis,
aElementOf0(xP,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xk)),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_65,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sdtlpdtrp0(xN,xn),xp)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_25]),c_0_43]) ).
cnf(c_0_66,hypothesis,
isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(spm,[status(thm)],[c_0_55,c_0_25]) ).
cnf(c_0_67,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[m__5164]) ).
cnf(c_0_68,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_69,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[m__5173]) ).
cnf(c_0_70,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_71,hypothesis,
aSet0(xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_59]),c_0_60])]) ).
cnf(c_0_72,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,xn),X1) = sdtlpdtrp0(xd,xn)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xk))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_25]) ).
fof(c_0_73,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_74,hypothesis,
( sdtlpdtrp0(xc,sdtpldt0(X1,xp)) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xn)))
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_25]),c_0_43]),c_0_43]),c_0_52]) ).
cnf(c_0_75,hypothesis,
aElementOf0(xP,szDzozmdt0(sdtlpdtrp0(xC,xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_76,hypothesis,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71])]) ).
cnf(c_0_77,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xd,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_64]),c_0_67])]) ).
cnf(c_0_78,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_79,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]),c_0_67])]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM628+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 15:45:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 2.43/2.48 % Version : CSE_E---1.5
% 2.43/2.48 % Problem : theBenchmark.p
% 2.43/2.48 % Proof found
% 2.43/2.48 % SZS status Theorem for theBenchmark.p
% 2.43/2.48 % SZS output start Proof
% See solution above
% 2.43/2.49 % Total time : 1.920000 s
% 2.43/2.49 % SZS output end Proof
% 2.43/2.49 % Total time : 1.924000 s
%------------------------------------------------------------------------------