TSTP Solution File: MSC020^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MSC020^5 : 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.z2yCkk2mO1 true
% Computer : n017.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 09:31:54 EDT 2023
% Result : Theorem 1.76s 1.04s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 123 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 600 ( 30 ~; 25 |; 30 &; 438 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 43 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% ( 41 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 126 ( 77 ^; 49 !; 0 ?; 126 :)
% Comments :
%------------------------------------------------------------------------------
thf(cHALF_type,type,
cHALF: $i > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk33_type',type,
'#sk33': ( $i > $i > $o ) > $i ).
thf(cS_type,type,
cS: $i > $i ).
thf(c0_type,type,
c0: $i ).
thf(cDOUBLE_type,type,
cDOUBLE: $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk26_type',type,
'#sk26': ( $i > $i > $o ) > $i ).
thf(cTHM301,conjecture,
( ( ! [Xx: $i,Xy: $i] :
( ( cHALF @ Xx @ Xy )
=> ( cHALF @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) ) )
& ( cHALF @ ( cS @ c0 ) @ c0 )
& ( cHALF @ c0 @ c0 )
& ! [Q: $i > $i > $o,Xu: $i,Xv: $i] :
( ( ! [Xx: $i,Xy: $i] :
( ( Q @ Xx @ Xy )
=> ( Q @ ( cS @ Xx ) @ ( cS @ ( cS @ Xy ) ) ) )
& ( Q @ c0 @ c0 )
& ( cDOUBLE @ Xu @ Xv ) )
=> ( Q @ Xu @ Xv ) ) )
=> ! [Xu: $i,Xv: $i] :
( ( cDOUBLE @ Xu @ Xv )
=> ( cHALF @ Xv @ Xu ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [Xx: $i,Xy: $i] :
( ( cHALF @ Xx @ Xy )
=> ( cHALF @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) ) )
& ( cHALF @ ( cS @ c0 ) @ c0 )
& ( cHALF @ c0 @ c0 )
& ! [Q: $i > $i > $o,Xu: $i,Xv: $i] :
( ( ! [Xx: $i,Xy: $i] :
( ( Q @ Xx @ Xy )
=> ( Q @ ( cS @ Xx ) @ ( cS @ ( cS @ Xy ) ) ) )
& ( Q @ c0 @ c0 )
& ( cDOUBLE @ Xu @ Xv ) )
=> ( Q @ Xu @ Xv ) ) )
=> ! [Xu: $i,Xv: $i] :
( ( cDOUBLE @ Xu @ Xv )
=> ( cHALF @ Xv @ Xu ) ) ),
inference('cnf.neg',[status(esa)],[cTHM301]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
=> ( cHALF @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ Y1 ) ) ) ) )
& ( cHALF @ ( cS @ c0 ) @ c0 )
& ( cHALF @ c0 @ c0 )
& ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( cS @ Y3 ) @ ( cS @ ( cS @ Y4 ) ) ) ) ) )
& ( Y0 @ c0 @ c0 )
& ( cDOUBLE @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cHALF @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
=> ( cHALF @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ Y1 ) ) ) ) )
& ( cHALF @ ( cS @ c0 ) @ c0 )
& ( cHALF @ c0 @ c0 )
& ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( cS @ Y3 ) @ ( cS @ ( cS @ Y4 ) ) ) ) ) )
& ( Y0 @ c0 @ c0 )
& ( cDOUBLE @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
=> ( cHALF @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( cHALF @ X2 @ Y0 )
=> ( cHALF @ ( cS @ ( cS @ X2 ) ) @ ( cS @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( ( cHALF @ X2 @ X4 )
=> ( cHALF @ ( cS @ ( cS @ X2 ) ) @ ( cS @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i] :
( ~ ( cHALF @ X2 @ X4 )
| ( cHALF @ ( cS @ ( cS @ X2 ) ) @ ( cS @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl5,plain,
cHALF @ c0 @ c0,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cHALF @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( cDOUBLE @ '#sk1' @ Y0 )
=> ( cHALF @ Y0 @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl15,plain,
~ ( ( cDOUBLE @ '#sk1' @ '#sk2' )
=> ( cHALF @ '#sk2' @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl18,plain,
cDOUBLE @ '#sk1' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( cS @ Y3 ) @ ( cS @ ( cS @ Y4 ) ) ) ) ) )
& ( Y0 @ c0 @ c0 )
& ( cDOUBLE @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $i > $o] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( X2 @ Y2 @ Y3 )
=> ( X2 @ ( cS @ Y2 ) @ ( cS @ ( cS @ Y3 ) ) ) ) ) )
& ( X2 @ c0 @ c0 )
& ( cDOUBLE @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl17,plain,
! [X2: $i > $i > $o,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( X2 @ Y1 @ Y2 )
=> ( X2 @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y2 ) ) ) ) ) )
& ( X2 @ c0 @ c0 )
& ( cDOUBLE @ X4 @ Y0 ) )
=> ( X2 @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl21,plain,
! [X2: $i > $i > $o,X4: $i,X6: $i] :
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( X2 @ Y0 @ Y1 )
=> ( X2 @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
& ( X2 @ c0 @ c0 )
& ( cDOUBLE @ X4 @ X6 ) )
=> ( X2 @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl22,plain,
! [X2: $i > $i > $o,X4: $i,X6: $i] :
( ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( X2 @ Y0 @ Y1 )
=> ( X2 @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
& ( X2 @ c0 @ c0 )
& ( cDOUBLE @ X4 @ X6 ) )
| ( X2 @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
! [X2: $i > $i > $o,X4: $i,X6: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( X2 @ Y0 @ Y1 )
=> ( X2 @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
| ~ ( X2 @ c0 @ c0 )
| ~ ( cDOUBLE @ X4 @ X6 )
| ( X2 @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl24,plain,
! [X2: $i > $i > $o,X4: $i,X6: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ ( '#sk26' @ X2 ) @ Y0 )
=> ( X2 @ ( cS @ ( '#sk26' @ X2 ) ) @ ( cS @ ( cS @ Y0 ) ) ) ) )
| ( X2 @ X4 @ X6 )
| ~ ( cDOUBLE @ X4 @ X6 )
| ~ ( X2 @ c0 @ c0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl25,plain,
! [X2: $i > $i > $o,X4: $i,X6: $i] :
( ~ ( ( X2 @ ( '#sk26' @ X2 ) @ ( '#sk33' @ X2 ) )
=> ( X2 @ ( cS @ ( '#sk26' @ X2 ) ) @ ( cS @ ( cS @ ( '#sk33' @ X2 ) ) ) ) )
| ~ ( X2 @ c0 @ c0 )
| ~ ( cDOUBLE @ X4 @ X6 )
| ( X2 @ X4 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl27,plain,
! [X2: $i > $i > $o,X4: $i,X6: $i] :
( ~ ( X2 @ ( cS @ ( '#sk26' @ X2 ) ) @ ( cS @ ( cS @ ( '#sk33' @ X2 ) ) ) )
| ( X2 @ X4 @ X6 )
| ~ ( cDOUBLE @ X4 @ X6 )
| ~ ( X2 @ c0 @ c0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl171,plain,
! [X0: $i > $i > $o] :
( ~ ( X0 @ c0 @ c0 )
| ( X0 @ '#sk1' @ '#sk2' )
| ~ ( X0 @ ( cS @ ( '#sk26' @ X0 ) ) @ ( cS @ ( cS @ ( '#sk33' @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl27]) ).
thf(zip_derived_cl691,plain,
( ~ ( ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 )
@ ( cS
@ ( '#sk26'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) ) )
@ ( cS
@ ( cS
@ ( '#sk33'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) ) ) ) )
| ( ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 )
@ '#sk1'
@ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl171]) ).
thf(zip_derived_cl731,plain,
( ~ ( cHALF
@ ( cS
@ ( cS
@ ( '#sk33'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) ) ) )
@ ( cS
@ ( '#sk26'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) ) ) )
| ( cHALF @ '#sk2' @ '#sk1' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl691]) ).
thf(zip_derived_cl19,plain,
~ ( cHALF @ '#sk2' @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl732,plain,
~ ( cHALF
@ ( cS
@ ( cS
@ ( '#sk33'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) ) ) )
@ ( cS
@ ( '#sk26'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl731,zip_derived_cl19]) ).
thf(zip_derived_cl740,plain,
~ ( cHALF
@ ( '#sk33'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) )
@ ( '#sk26'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl732]) ).
thf(zip_derived_cl5_001,plain,
cHALF @ c0 @ c0,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl18_002,plain,
cDOUBLE @ '#sk1' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl26,plain,
! [X2: $i > $i > $o,X4: $i,X6: $i] :
( ( X2 @ ( '#sk26' @ X2 ) @ ( '#sk33' @ X2 ) )
| ( X2 @ X4 @ X6 )
| ~ ( cDOUBLE @ X4 @ X6 )
| ~ ( X2 @ c0 @ c0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl99,plain,
! [X0: $i > $i > $o] :
( ~ ( X0 @ c0 @ c0 )
| ( X0 @ '#sk1' @ '#sk2' )
| ( X0 @ ( '#sk26' @ X0 ) @ ( '#sk33' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl26]) ).
thf(zip_derived_cl434,plain,
( ( ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 )
@ ( '#sk26'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) )
@ ( '#sk33'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) ) )
| ( ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 )
@ '#sk1'
@ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl99]) ).
thf(zip_derived_cl461,plain,
( ( cHALF
@ ( '#sk33'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) )
@ ( '#sk26'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) ) )
| ( cHALF @ '#sk2' @ '#sk1' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl434]) ).
thf(zip_derived_cl19_003,plain,
~ ( cHALF @ '#sk2' @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl462,plain,
( cHALF
@ ( '#sk33'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) )
@ ( '#sk26'
@ ^ [Y0: $i,Y1: $i] : ( cHALF @ Y1 @ Y0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl19]) ).
thf(zip_derived_cl741,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl740,zip_derived_cl462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MSC020^5 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z2yCkk2mO1 true
% 0.13/0.34 % Computer : n017.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 : Thu Aug 24 13:07:54 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 HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.43/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.43/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.52/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.76/1.04 % Solved by lams/30_sp5.sh.
% 1.76/1.04 % done 103 iterations in 0.261s
% 1.76/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.76/1.04 % SZS output start Refutation
% See solution above
% 1.76/1.05
% 1.76/1.05
% 1.76/1.05 % Terminating...
% 2.18/1.19 % Runner terminated.
% 2.18/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------