TSTP Solution File: NUM810^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM810^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TlKiLZsmHY true
% Computer : n032.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 12:44:18 EDT 2023
% Result : Theorem 3.37s 1.09s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 167 ( 2 equ; 0 cnn)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 550 ( 24 ~; 14 |; 33 &; 347 @)
% ( 0 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 9 con; 0-2 aty)
% ( 52 !!; 29 ??; 0 @@+; 0 @@-)
% Number of variables : 116 ( 81 ^; 32 !; 3 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
thf(c0_type,type,
c0: $i ).
thf(cS_type,type,
cS: $i > $i ).
thf('#sk33_type',type,
'#sk33': $i ).
thf(cIND_type,type,
cIND: $o ).
thf(cDOUBLE_type,type,
cDOUBLE: $i > $i > $o ).
thf('#form2_type',type,
'#form2': $o ).
thf('#sk34_type',type,
'#sk34': $i ).
thf(cIND_def,axiom,
( cIND
= ( ! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ Xx ) ) ) )
=> ! [Xx: $i] : ( Xp @ Xx ) ) ) ) ).
thf('0',plain,
( cIND
= ( ! [X4: $i > $o] :
( ( ( X4 @ c0 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) ) )
=> ! [X8: $i] : ( X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(cTHM140,conjecture,
( ( cIND
& ( cDOUBLE @ c0 @ c0 )
& ! [Xx: $i,Xy: $i] :
( ( cDOUBLE @ Xx @ Xy )
=> ( cDOUBLE @ ( cS @ Xx ) @ ( cS @ ( cS @ Xy ) ) ) ) )
=> ! [Xx: $i] :
? [Xy: $i] : ( cDOUBLE @ Xx @ Xy ) ) ).
thf(zf_stmt_0,conjecture,
( ( ! [X10: $i,X12: $i] :
( ( cDOUBLE @ X10 @ X12 )
=> ( cDOUBLE @ ( cS @ X10 ) @ ( cS @ ( cS @ X12 ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ! [X4: $i > $o] :
( ( ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) )
& ( X4 @ c0 ) )
=> ! [X8: $i] : ( X4 @ X8 ) ) )
=> ! [X14: $i] :
? [X16: $i] : ( cDOUBLE @ X14 @ X16 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ! [X10: $i,X12: $i] :
( ( cDOUBLE @ X10 @ X12 )
=> ( cDOUBLE @ ( cS @ X10 ) @ ( cS @ ( cS @ X12 ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ! [X4: $i > $o] :
( ( ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) )
& ( X4 @ c0 ) )
=> ! [X8: $i] : ( X4 @ X8 ) ) )
=> ! [X14: $i] :
? [X16: $i] : ( cDOUBLE @ X14 @ X16 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
cDOUBLE @ c0 @ c0,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl7_001,plain,
cDOUBLE @ c0 @ c0,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl1_002,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7_003,plain,
cDOUBLE @ c0 @ c0,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
& $true
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl83,plain,
( ~ '#form2'
| ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl84,plain,
! [X2: $i > $o] :
( ( ( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X2 @ ( cS @ Y0 ) ) ) )
& ( X2 @ c0 ) )
=> ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl87,plain,
( ( ( ( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] : ( cDOUBLE @ ( cS @ Y0 ) @ Y1 ) ) ) )
& ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ c0 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) ) ) )
| ~ '#form2' ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl18_004,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl83_005,plain,
( ~ '#form2'
| ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl89,plain,
'#form2',
inference(renaming,[status(thm)],[zip_derived_cl18,zip_derived_cl83]) ).
thf(zip_derived_cl176,plain,
( ( ( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] : ( cDOUBLE @ ( cS @ Y0 ) @ Y1 ) ) ) )
& ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ c0 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl89]) ).
thf(zip_derived_cl177,plain,
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] : ( cDOUBLE @ ( cS @ Y0 ) @ Y1 ) ) ) )
& ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ c0 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl176]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl178,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] : ( cDOUBLE @ ( cS @ Y0 ) @ Y1 ) ) ) )
& ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ c0 @ Y0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl177,zip_derived_cl2]) ).
thf(zip_derived_cl179,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] : ( cDOUBLE @ ( cS @ Y0 ) @ Y1 ) ) ) )
| ~ ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ c0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl180,plain,
( ~ ( ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ '#sk33' @ Y0 ) )
=> ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ ( cS @ '#sk33' ) @ Y0 ) ) )
| ~ ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ c0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl181,plain,
( ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ '#sk33' @ Y0 ) )
| ~ ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ c0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl184,plain,
( ( cDOUBLE @ '#sk33' @ '#sk34' )
| ~ ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ c0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl185,plain,
! [X2: $i] :
( ~ ( cDOUBLE @ c0 @ X2 )
| ( cDOUBLE @ '#sk33' @ '#sk34' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl188,plain,
cDOUBLE @ '#sk33' @ '#sk34',
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl185]) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl22,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( cDOUBLE @ X2 @ Y0 )
=> ( cDOUBLE @ ( cS @ X2 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i] :
( ( cDOUBLE @ X2 @ X4 )
=> ( cDOUBLE @ ( cS @ X2 ) @ ( cS @ ( cS @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i] :
( ~ ( cDOUBLE @ X2 @ X4 )
| ( cDOUBLE @ ( cS @ X2 ) @ ( cS @ ( cS @ X4 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl190,plain,
cDOUBLE @ ( cS @ '#sk33' ) @ ( cS @ ( cS @ '#sk34' ) ),
inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl29]) ).
thf(zip_derived_cl182,plain,
( ~ ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ ( cS @ '#sk33' ) @ Y0 ) )
| ~ ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ c0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl183,plain,
! [X2: $i] :
( ~ ( cDOUBLE @ ( cS @ '#sk33' ) @ X2 )
| ~ ( ??
@ ^ [Y0: $i] : ( cDOUBLE @ c0 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl254,plain,
! [X2: $i,X4: $i] :
( ~ ( cDOUBLE @ c0 @ X4 )
| ~ ( cDOUBLE @ ( cS @ '#sk33' ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl183]) ).
thf(zip_derived_cl280,plain,
! [X0: $i] :
~ ( cDOUBLE @ c0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl254]) ).
thf(zip_derived_cl282,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM810^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TlKiLZsmHY true
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 13:15:42 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.32 % Number of cores: 8
% 0.16/0.33 % Python version: Python 3.6.8
% 0.16/0.33 % Running in HO mode
% 0.17/0.55 % Total configuration time : 828
% 0.17/0.55 % Estimated wc time : 1656
% 0.17/0.55 % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.67 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.67 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.67 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.17/0.67 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.77 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 2.32/0.94 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 2.96/0.98 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 3.37/1.09 % Solved by lams/15_old_s4.sh.
% 3.37/1.09 % done 99 iterations in 0.074s
% 3.37/1.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.37/1.09 % SZS output start Refutation
% See solution above
% 3.37/1.09
% 3.37/1.09
% 3.37/1.09 % Terminating...
% 3.66/1.18 % Runner terminated.
% 3.66/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------