TSTP Solution File: NUM629+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM629+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 : 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 10:39:29 EDT 2023
% Result : Theorem 5.37s 5.44s
% Output : CNFRefutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 83
% Syntax : Number of formulae : 127 ( 25 unt; 66 typ; 0 def)
% Number of atoms : 265 ( 54 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 335 ( 131 ~; 139 |; 48 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 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 : 57 ( 57 usr; 18 con; 0-4 aty)
% Number of variables : 73 ( 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,
xD: $i ).
tff(decl_63,type,
esk1_1: $i > $i ).
tff(decl_64,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk5_1: $i > $i ).
tff(decl_68,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk10_1: $i > $i ).
tff(decl_73,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk22_1: $i > $i ).
tff(decl_85,type,
esk23_1: $i > $i ).
tff(decl_86,type,
esk24_1: $i > $i ).
tff(decl_87,type,
esk25_1: $i > $i ).
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(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(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
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__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(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(m__5585,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5585) ).
fof(m__5182,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).
fof(m__4891,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
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__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(m__5334,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5334) ).
fof(m__,conjecture,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_17,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])])]) ).
fof(c_0_18,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_19,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_21,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
fof(c_0_22,plain,
! [X7,X8] :
( ~ aSet0(X7)
| ~ aElementOf0(X8,X7)
| aElement0(X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(c_0_23,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_24,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,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_26,plain,
! [X35,X36,X37,X38,X39,X40] :
( ( aSet0(X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElement0(X38)
| ~ aElementOf0(X38,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElementOf0(X38,X35)
| ~ aElementOf0(X38,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( X38 != X36
| ~ aElementOf0(X38,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( ~ aElement0(X39)
| ~ aElementOf0(X39,X35)
| X39 = X36
| aElementOf0(X39,X37)
| X37 != sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( ~ aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aElement0(esk4_3(X35,X36,X40))
| ~ aElementOf0(esk4_3(X35,X36,X40),X35)
| esk4_3(X35,X36,X40) = X36
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElement0(esk4_3(X35,X36,X40))
| aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( aElementOf0(esk4_3(X35,X36,X40),X35)
| aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) )
& ( esk4_3(X35,X36,X40) != X36
| aElementOf0(esk4_3(X35,X36,X40),X40)
| ~ aSet0(X40)
| X40 = sdtmndt0(X35,X36)
| ~ aSet0(X35)
| ~ aElement0(X36) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])])])]) ).
cnf(c_0_27,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(split_conjunct,[status(thm)],[m__5585]) ).
cnf(c_0_28,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xn)) = xp,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_29,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,hypothesis,
aElementOf0(xp,xO),
inference(split_conjunct,[status(thm)],[m__5182]) ).
cnf(c_0_31,hypothesis,
aSet0(xO),
inference(split_conjunct,[status(thm)],[m__4891]) ).
cnf(c_0_32,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
cnf(c_0_34,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
fof(c_0_35,plain,
! [X25,X26,X27] :
( ~ aSet0(X25)
| ~ aSet0(X26)
| ~ aSet0(X27)
| ~ aSubsetOf0(X25,X26)
| ~ aSubsetOf0(X26,X27)
| aSubsetOf0(X25,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
cnf(c_0_36,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_25]) ).
cnf(c_0_37,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD,
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_40,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_41,hypothesis,
aSet0(sdtlpdtrp0(xN,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
fof(c_0_42,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])])])])])]) ).
cnf(c_0_43,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,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_36,c_0_37]),c_0_24]) ).
cnf(c_0_45,hypothesis,
( aSet0(X1)
| X1 != xD ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41])]) ).
cnf(c_0_46,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_42]) ).
cnf(c_0_47,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_43,c_0_32]),c_0_32]) ).
cnf(c_0_48,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_20]),c_0_27]) ).
cnf(c_0_49,hypothesis,
aSet0(xD),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
( aElementOf0(X1,X2)
| X2 != slbdtsldtrb0(X3,sbrdtbr0(X1))
| ~ aSubsetOf0(X1,X3)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_46]) ).
cnf(c_0_51,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[m__5217]) ).
cnf(c_0_52,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_53,hypothesis,
( aSubsetOf0(X1,xD)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
cnf(c_0_54,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[m__5334]) ).
cnf(c_0_55,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_50,c_0_51]),c_0_52])]) ).
cnf(c_0_56,hypothesis,
aSubsetOf0(xP,xD),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_57,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_58,hypothesis,
( aElementOf0(xP,X1)
| X1 != slbdtsldtrb0(xD,xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_49])]) ).
cnf(c_0_59,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_60,hypothesis,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_58]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM629+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n031.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 14:30:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 5.37/5.44 % Version : CSE_E---1.5
% 5.37/5.44 % Problem : theBenchmark.p
% 5.37/5.44 % Proof found
% 5.37/5.44 % SZS status Theorem for theBenchmark.p
% 5.37/5.44 % SZS output start Proof
% See solution above
% 5.37/5.45 % Total time : 4.867000 s
% 5.37/5.45 % SZS output end Proof
% 5.37/5.45 % Total time : 4.872000 s
%------------------------------------------------------------------------------