TSTP Solution File: NUM623+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM623+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.la42s9eC1x true
% Computer : n004.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 12:42:49 EDT 2023
% Result : Theorem 13.99s 2.68s
% Output : Refutation 13.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 92 ( 39 unt; 19 typ; 0 def)
% Number of atoms : 142 ( 40 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 384 ( 50 ~; 45 |; 12 &; 265 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 48 ( 0 ^; 47 !; 1 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(xx_type,type,
xx: $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(xQ_type,type,
xQ: $i ).
thf(xP_type,type,
xP: $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xN_type,type,
xN: $i ).
thf(xe_type,type,
xe: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(xO_type,type,
xO: $i ).
thf(xm_type,type,
xm: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xp_type,type,
xp: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(m__5481,axiom,
( ( aElementOf0 @ xx @ xQ )
& ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) ) ) ).
thf(zip_derived_cl226,plain,
aElementOf0 @ xx @ xQ,
inference(cnf,[status(esa)],[m__5481]) ).
thf(m__5173,axiom,
aElementOf0 @ xp @ xQ ).
thf(zip_derived_cl208,plain,
aElementOf0 @ xp @ xQ,
inference(cnf,[status(esa)],[m__5173]) ).
thf(mConsDiff,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( sdtpldt0 @ ( sdtmndt0 @ W0 @ W1 ) @ W1 )
= W0 ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( ( sdtpldt0 @ ( sdtmndt0 @ X1 @ X0 ) @ X0 )
= X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mConsDiff]) ).
thf(zip_derived_cl1081,plain,
( ~ ( aSet0 @ xQ )
| ( ( sdtpldt0 @ ( sdtmndt0 @ xQ @ xp ) @ xp )
= xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl37]) ).
thf(m__5106,axiom,
aSubsetOf0 @ xQ @ szNzAzT0 ).
thf(zip_derived_cl203,plain,
aSubsetOf0 @ xQ @ szNzAzT0,
inference(cnf,[status(esa)],[m__5106]) ).
thf(mDefSub,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl391,plain,
( ~ ( aSet0 @ szNzAzT0 )
| ( aSet0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl14]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl44,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl397,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl44]) ).
thf(m__5164,axiom,
( ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
& ( aSet0 @ xP ) ) ).
thf(zip_derived_cl206,plain,
( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
inference(cnf,[status(esa)],[m__5164]) ).
thf(m__5147,axiom,
( xp
= ( szmzizndt0 @ xQ ) ) ).
thf(zip_derived_cl205,plain,
( xp
= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl585,plain,
( xP
= ( sdtmndt0 @ xQ @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl205]) ).
thf(zip_derived_cl1102,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl1081,zip_derived_cl397,zip_derived_cl585]) ).
thf(zip_derived_cl1200,plain,
aElementOf0 @ xx @ ( sdtpldt0 @ xP @ xp ),
inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl1102]) ).
thf(zip_derived_cl203_001,plain,
aSubsetOf0 @ xQ @ szNzAzT0,
inference(cnf,[status(esa)],[m__5106]) ).
thf(zip_derived_cl1102_002,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl1081,zip_derived_cl397,zip_derived_cl585]) ).
thf(zip_derived_cl1195,plain,
aSubsetOf0 @ ( sdtpldt0 @ xP @ xp ) @ szNzAzT0,
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl1102]) ).
thf(mDefMin,axiom,
! [W0: $i] :
( ( ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ( W0 != slcrc0 ) )
=> ! [W1: $i] :
( ( W1
= ( szmzizndt0 @ W0 ) )
<=> ( ( aElementOf0 @ W1 @ W0 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W1 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( szmzizndt0 @ X0 ) )
| ( sdtlseqdt0 @ X1 @ X2 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefMin]) ).
thf(mDefEmp,axiom,
! [W0: $i] :
( ( W0 = slcrc0 )
<=> ( ( aSet0 @ W0 )
& ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( X1 != slcrc0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl1561,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ( sdtlseqdt0 @ X1 @ X2 )
| ( X1
!= ( szmzizndt0 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl5]) ).
thf(zip_derived_cl3670,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( szmzizndt0 @ ( sdtpldt0 @ xP @ xp ) ) )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X1 @ ( sdtpldt0 @ xP @ xp ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1195,zip_derived_cl1561]) ).
thf(zip_derived_cl205_003,plain,
( xp
= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl1102_004,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl1081,zip_derived_cl397,zip_derived_cl585]) ).
thf(zip_derived_cl1197,plain,
( xp
= ( szmzizndt0 @ ( sdtpldt0 @ xP @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl1102]) ).
thf(zip_derived_cl3684,plain,
! [X0: $i,X1: $i] :
( ( X0 != xp )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X1 @ ( sdtpldt0 @ xP @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3670,zip_derived_cl1197]) ).
thf(zip_derived_cl9766,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xx )
| ( X0 != xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl1200,zip_derived_cl3684]) ).
thf(zip_derived_cl9781,plain,
sdtlseqdt0 @ xp @ xx,
inference(eq_res,[status(thm)],[zip_derived_cl9766]) ).
thf(zip_derived_cl208_005,plain,
aElementOf0 @ xp @ xQ,
inference(cnf,[status(esa)],[m__5173]) ).
thf(zip_derived_cl1102_006,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl1081,zip_derived_cl397,zip_derived_cl585]) ).
thf(zip_derived_cl1198,plain,
aElementOf0 @ xp @ ( sdtpldt0 @ xP @ xp ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl1102]) ).
thf(zip_derived_cl203_007,plain,
aSubsetOf0 @ xQ @ szNzAzT0,
inference(cnf,[status(esa)],[m__5106]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl375,plain,
! [X0: $i] :
( ~ ( aSet0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xQ )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl13]) ).
thf(zip_derived_cl44_008,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl381,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xQ )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl375,zip_derived_cl44]) ).
thf(zip_derived_cl1102_009,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl1081,zip_derived_cl397,zip_derived_cl585]) ).
thf(zip_derived_cl1549,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ xP @ xp ) )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl1102]) ).
thf(zip_derived_cl3164,plain,
aElementOf0 @ xp @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl1198,zip_derived_cl1549]) ).
thf(mLessASymm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLessASymm]) ).
thf(zip_derived_cl3186,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xp @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ xp )
| ( xp = X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3164,zip_derived_cl59]) ).
thf(zip_derived_cl9782,plain,
( ~ ( aElementOf0 @ xx @ szNzAzT0 )
| ( xp = xx )
| ~ ( sdtlseqdt0 @ xx @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl9781,zip_derived_cl3186]) ).
thf(m__5365,axiom,
( ( aElementOf0 @ xx @ xO )
& ( aElementOf0 @ xx @ szNzAzT0 ) ) ).
thf(zip_derived_cl220,plain,
aElementOf0 @ xx @ szNzAzT0,
inference(cnf,[status(esa)],[m__5365]) ).
thf(zip_derived_cl9783,plain,
( ( xp = xx )
| ~ ( sdtlseqdt0 @ xx @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl9782,zip_derived_cl220]) ).
thf(m__,conjecture,
xp = xx ).
thf(zf_stmt_0,negated_conjecture,
xp != xx,
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl228,plain,
xp != xx,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9784,plain,
~ ( sdtlseqdt0 @ xx @ xp ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9783,zip_derived_cl228]) ).
thf(zip_derived_cl227,plain,
aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ),
inference(cnf,[status(esa)],[m__5481]) ).
thf(m__5389,axiom,
( ( xx
= ( sdtlpdtrp0 @ xe @ xm ) )
& ( aElementOf0 @ xm @ szNzAzT0 ) ) ).
thf(zip_derived_cl222,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(m__3671,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).
thf(zip_derived_cl165,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl596,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl165]) ).
thf(zip_derived_cl1561_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ( sdtlseqdt0 @ X1 @ X2 )
| ( X1
!= ( szmzizndt0 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl5]) ).
thf(zip_derived_cl3885,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl1561]) ).
thf(m__5401,axiom,
( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ) ).
thf(zip_derived_cl223,plain,
( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(cnf,[status(esa)],[m__5401]) ).
thf(zip_derived_cl3897,plain,
! [X0: $i,X1: $i] :
( ( X0 != xx )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3885,zip_derived_cl223]) ).
thf(zip_derived_cl14511,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xp )
| ( X0 != xx ) ),
inference('sup-',[status(thm)],[zip_derived_cl227,zip_derived_cl3897]) ).
thf(zip_derived_cl14528,plain,
sdtlseqdt0 @ xx @ xp,
inference(eq_res,[status(thm)],[zip_derived_cl14511]) ).
thf(zip_derived_cl14529,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9784,zip_derived_cl14528]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM623+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.la42s9eC1x true
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 17:52:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.46/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 13.99/2.68 % Solved by fo/fo5.sh.
% 13.99/2.68 % done 2878 iterations in 1.903s
% 13.99/2.68 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.99/2.68 % SZS output start Refutation
% See solution above
% 13.99/2.68
% 13.99/2.68
% 13.99/2.68 % Terminating...
% 14.78/2.77 % Runner terminated.
% 14.78/2.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------