TSTP Solution File: NUM586+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM586+1 : 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 : n009.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 10:39:00 EDT 2023
% Result : Theorem 0.88s 0.99s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 63
% Syntax : Number of formulae : 85 ( 6 unt; 56 typ; 0 def)
% Number of atoms : 120 ( 30 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 158 ( 67 ~; 64 |; 19 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 44 >; 41 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 47 ( 47 usr; 12 con; 0-4 aty)
% Number of variables : 46 ( 0 sgn; 21 !; 3 ?; 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,
xx: $i ).
tff(decl_57,type,
esk1_1: $i > $i ).
tff(decl_58,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk5_1: $i > $i ).
tff(decl_62,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk10_1: $i > $i ).
tff(decl_67,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk21_3: ( $i * $i * $i ) > $i ).
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(mDefSImg,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtlcdtrc0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5] :
( aElementOf0(X5,X2)
& sdtlpdtrp0(X1,X5) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(m__4200,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200) ).
fof(m__4200_02,hypothesis,
aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200_02) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(c_0_7,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_8,negated_conjecture,
! [X184] :
( ~ aElementOf0(X184,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X184) != xx ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_9,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])])])]) ).
fof(c_0_10,plain,
! [X144,X145,X146,X147,X149,X150,X151,X153] :
( ( aSet0(X146)
| X146 != sdtlcdtrc0(X144,X145)
| ~ aSubsetOf0(X145,szDzozmdt0(X144))
| ~ aFunction0(X144) )
& ( aElementOf0(esk14_4(X144,X145,X146,X147),X145)
| ~ aElementOf0(X147,X146)
| X146 != sdtlcdtrc0(X144,X145)
| ~ aSubsetOf0(X145,szDzozmdt0(X144))
| ~ aFunction0(X144) )
& ( sdtlpdtrp0(X144,esk14_4(X144,X145,X146,X147)) = X147
| ~ aElementOf0(X147,X146)
| X146 != sdtlcdtrc0(X144,X145)
| ~ aSubsetOf0(X145,szDzozmdt0(X144))
| ~ aFunction0(X144) )
& ( ~ aElementOf0(X150,X145)
| sdtlpdtrp0(X144,X150) != X149
| aElementOf0(X149,X146)
| X146 != sdtlcdtrc0(X144,X145)
| ~ aSubsetOf0(X145,szDzozmdt0(X144))
| ~ aFunction0(X144) )
& ( ~ aElementOf0(esk15_3(X144,X145,X151),X151)
| ~ aElementOf0(X153,X145)
| sdtlpdtrp0(X144,X153) != esk15_3(X144,X145,X151)
| ~ aSet0(X151)
| X151 = sdtlcdtrc0(X144,X145)
| ~ aSubsetOf0(X145,szDzozmdt0(X144))
| ~ aFunction0(X144) )
& ( aElementOf0(esk16_3(X144,X145,X151),X145)
| aElementOf0(esk15_3(X144,X145,X151),X151)
| ~ aSet0(X151)
| X151 = sdtlcdtrc0(X144,X145)
| ~ aSubsetOf0(X145,szDzozmdt0(X144))
| ~ aFunction0(X144) )
& ( sdtlpdtrp0(X144,esk16_3(X144,X145,X151)) = esk15_3(X144,X145,X151)
| aElementOf0(esk15_3(X144,X145,X151),X151)
| ~ aSet0(X151)
| X151 = sdtlcdtrc0(X144,X145)
| ~ aSubsetOf0(X145,szDzozmdt0(X144))
| ~ aFunction0(X144) ) ),
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)],[mDefSImg])])])])])]) ).
cnf(c_0_11,negated_conjecture,
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) != xx ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,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_9]) ).
cnf(c_0_13,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4200]) ).
cnf(c_0_14,plain,
( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
| ~ aElementOf0(X4,X3)
| X3 != sdtlcdtrc0(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) != xx
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,plain,
( aElementOf0(esk14_4(X1,X2,sdtlcdtrc0(X1,X2),X3),X2)
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aElementOf0(X3,sdtlcdtrc0(X1,X2)) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
| ~ aElementOf0(X4,X3)
| X3 != sdtlcdtrc0(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk14_4(X1,szDzozmdt0(sdtlpdtrp0(xC,xi)),sdtlcdtrc0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi))),X2)) != xx
| ~ aFunction0(X1)
| ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(X1))
| ~ aElementOf0(X2,sdtlcdtrc0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi)))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( sdtlpdtrp0(X1,esk14_4(X1,X2,sdtlcdtrc0(X1,X2),X3)) = X3
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aElementOf0(X3,sdtlcdtrc0(X1,X2)) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_20,hypothesis,
aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
inference(split_conjunct,[status(thm)],[m__4200_02]) ).
fof(c_0_21,plain,
! [X22] :
( ~ aSet0(X22)
| aSubsetOf0(X22,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(c_0_22,plain,
! [X132] :
( ~ aFunction0(X132)
| aSet0(szDzozmdt0(X132)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
cnf(c_0_23,negated_conjecture,
( ~ aFunction0(sdtlpdtrp0(xC,xi))
| ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19])]),c_0_20])]) ).
cnf(c_0_24,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ aFunction0(sdtlpdtrp0(xC,xi)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_27,hypothesis,
( aFunction0(sdtlpdtrp0(xC,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM586+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.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 16:05:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.88/0.99 % Version : CSE_E---1.5
% 0.88/0.99 % Problem : theBenchmark.p
% 0.88/0.99 % Proof found
% 0.88/0.99 % SZS status Theorem for theBenchmark.p
% 0.88/0.99 % SZS output start Proof
% See solution above
% 0.88/1.00 % Total time : 0.420000 s
% 0.88/1.00 % SZS output end Proof
% 0.88/1.00 % Total time : 0.425000 s
%------------------------------------------------------------------------------