TSTP Solution File: ALG251^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG251^3 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vCcnVXLwgc true
% Computer : n007.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 : Wed Aug 30 17:12:28 EDT 2023
% Result : Theorem 12.24s 2.23s
% Output : Refutation 12.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 36
% Syntax : Number of formulae : 65 ( 28 unt; 20 typ; 0 def)
% Number of atoms : 143 ( 67 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 390 ( 46 ~; 33 |; 0 &; 255 @)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 94 ( 7 ^; 87 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(pushprop_lthm_orig_type,type,
pushprop_lthm_orig: $o ).
thf(axclos_type,type,
axclos: $o ).
thf(axvarcons_type,type,
axvarcons: $o ).
thf(push_type,type,
push: term > subst > subst ).
thf(sk__281_type,type,
sk__281: subst ).
thf(axshiftcons_type,type,
axshiftcons: $o ).
thf(one_type,type,
one: term ).
thf(comp_type,type,
comp: subst > subst > subst ).
thf(sh_type,type,
sh: subst ).
thf(ulamvarind_type,type,
ulamvarind: $o ).
thf(sk__282_type,type,
sk__282: term ).
thf(pushprop_type,type,
pushprop: $o ).
thf(sub_type,type,
sub: term > subst > term ).
thf(sk__279_type,type,
sk__279: term > $o ).
thf(var_type,type,
var: term > $o ).
thf(ulamvar1_type,type,
ulamvar1: $o ).
thf(sk__283_type,type,
sk__283: ( term > $o ) > term ).
thf(sk__280_type,type,
sk__280: term ).
thf(pushprop_lthm_orig,axiom,
( pushprop_lthm_orig
= ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) ) ).
thf('0',plain,
( pushprop_lthm_orig
= ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) ),
define([status(thm)]) ).
thf(pushprop,axiom,
( pushprop
= ( ! [P: term > $o,A: term,M: subst] :
( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ( ( P @ A )
=> ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) ) ) ) ).
thf('1',plain,
( pushprop
= ( ! [X4: term > $o,X6: term,X8: subst] :
( ! [X10: term] :
( ( var @ X10 )
=> ( X4 @ ( sub @ X10 @ X8 ) ) )
=> ( ( X4 @ X6 )
=> ! [X12: term] :
( ( var @ X12 )
=> ( X4 @ ( sub @ X12 @ ( push @ X6 @ X8 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(ulamvarind,axiom,
( ulamvarind
= ( ! [P: term > $o] :
( ( P @ one )
=> ( ! [A: term] :
( ( var @ A )
=> ( ( P @ A )
=> ( P @ ( sub @ A @ sh ) ) ) )
=> ! [A: term] :
( ( var @ A )
=> ( P @ A ) ) ) ) ) ) ).
thf('2',plain,
( ulamvarind
= ( ! [X4: term > $o] :
( ( X4 @ one )
=> ( ! [X6: term] :
( ( var @ X6 )
=> ( ( X4 @ X6 )
=> ( X4 @ ( sub @ X6 @ sh ) ) ) )
=> ! [X8: term] :
( ( var @ X8 )
=> ( X4 @ X8 ) ) ) ) ) ),
define([status(thm)]) ).
thf(ulamvar1,axiom,
( ulamvar1
= ( var @ one ) ) ).
thf('3',plain,
( ulamvar1
= ( var @ one ) ),
inference(simplify_rw_rule,[status(thm)],[ulamvar1]) ).
thf('4',plain,
( ulamvar1
= ( var @ one ) ),
define([status(thm)]) ).
thf(axshiftcons,axiom,
( axshiftcons
= ( ! [A: term,M: subst] :
( ( comp @ sh @ ( push @ A @ M ) )
= M ) ) ) ).
thf('5',plain,
( axshiftcons
= ( ! [X4: term,X6: subst] :
( ( comp @ sh @ ( push @ X4 @ X6 ) )
= X6 ) ) ),
define([status(thm)]) ).
thf(axclos,axiom,
( axclos
= ( ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) ) ) ) ).
thf('6',plain,
( axclos
= ( ! [X4: term,X6: subst,X8: subst] :
( ( sub @ ( sub @ X4 @ X6 ) @ X8 )
= ( sub @ X4 @ ( comp @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(axvarcons,axiom,
( axvarcons
= ( ! [A: term,M: subst] :
( ( sub @ one @ ( push @ A @ M ) )
= A ) ) ) ).
thf('7',plain,
( axvarcons
= ( ! [X4: term,X6: subst] :
( ( sub @ one @ ( push @ X4 @ X6 ) )
= X4 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
pushprop_lthm_orig ).
thf(zf_stmt_0,conjecture,
( ( var @ one )
=> ( ! [X4: term,X6: subst] :
( ( sub @ one @ ( push @ X4 @ X6 ) )
= X4 )
=> ( ! [X8: term,X10: subst,X12: subst] :
( ( sub @ ( sub @ X8 @ X10 ) @ X12 )
= ( sub @ X8 @ ( comp @ X10 @ X12 ) ) )
=> ( ! [X14: term,X16: subst] :
( ( comp @ sh @ ( push @ X14 @ X16 ) )
= X16 )
=> ( ! [X18: term > $o] :
( ( X18 @ one )
=> ( ! [X20: term] :
( ( var @ X20 )
=> ( ( X18 @ X20 )
=> ( X18 @ ( sub @ X20 @ sh ) ) ) )
=> ! [X22: term] :
( ( var @ X22 )
=> ( X18 @ X22 ) ) ) )
=> ! [X24: term > $o,X26: term,X28: subst] :
( ! [X30: term] :
( ( var @ X30 )
=> ( X24 @ ( sub @ X30 @ X28 ) ) )
=> ( ( X24 @ X26 )
=> ! [X32: term] :
( ( var @ X32 )
=> ( X24 @ ( sub @ X32 @ ( push @ X26 @ X28 ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( var @ one )
=> ( ! [X4: term,X6: subst] :
( ( sub @ one @ ( push @ X4 @ X6 ) )
= X4 )
=> ( ! [X8: term,X10: subst,X12: subst] :
( ( sub @ ( sub @ X8 @ X10 ) @ X12 )
= ( sub @ X8 @ ( comp @ X10 @ X12 ) ) )
=> ( ! [X14: term,X16: subst] :
( ( comp @ sh @ ( push @ X14 @ X16 ) )
= X16 )
=> ( ! [X18: term > $o] :
( ( X18 @ one )
=> ( ! [X20: term] :
( ( var @ X20 )
=> ( ( X18 @ X20 )
=> ( X18 @ ( sub @ X20 @ sh ) ) ) )
=> ! [X22: term] :
( ( var @ X22 )
=> ( X18 @ X22 ) ) ) )
=> ! [X24: term > $o,X26: term,X28: subst] :
( ! [X30: term] :
( ( var @ X30 )
=> ( X24 @ ( sub @ X30 @ X28 ) ) )
=> ( ( X24 @ X26 )
=> ! [X32: term] :
( ( var @ X32 )
=> ( X24 @ ( sub @ X32 @ ( push @ X26 @ X28 ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
~ ( sk__279 @ ( sub @ sk__282 @ ( push @ sk__280 @ sk__281 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
var @ sk__282,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X3: term > $o,X4: term] :
( ~ ( X3 @ ( sub @ ( sk__283 @ X3 ) @ sh ) )
| ~ ( var @ X4 )
| ( X3 @ X4 )
| ~ ( X3 @ one ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl147,plain,
! [X0: term] :
( ~ ( ^ [Y0: term] : ( X0 != Y0 )
@ ( sub
@ ( sk__283
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ sh ) )
| ~ ( var @ X0 )
| ( ^ [Y0: term] : ( X0 != Y0 )
@ X0 )
| ~ ( ^ [Y0: term] : ( X0 != Y0 )
@ one ) ),
inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl170,plain,
! [X0: term] :
( ( X0
!= ( sub @ ( sk__283 @ ( term != X0 ) ) @ sh ) )
| ~ ( var @ X0 )
| ( X0 != X0 )
| ( X0 != one ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl171,plain,
! [X0: term] :
( ( X0
!= ( sub @ ( sk__283 @ ( term != X0 ) ) @ sh ) )
| ~ ( var @ X0 )
| ( X0 != one ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl170]) ).
thf(zip_derived_cl172,plain,
! [X0: term] :
( ( X0
= ( sub @ ( sk__283 @ ( term != X0 ) ) @ sh ) )
| ~ ( var @ X0 )
| ( X0 = one ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl259,plain,
( ( sk__282 = one )
| ( sk__282
= ( sub @ ( sk__283 @ ( term != sk__282 ) ) @ sh ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl172]) ).
thf(zip_derived_cl11,plain,
! [X6: subst,X7: term] :
( ( comp @ sh @ ( push @ X7 @ X6 ) )
= X6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: term,X1: subst,X2: subst] :
( ( sub @ ( sub @ X0 @ X1 ) @ X2 )
= ( sub @ X0 @ ( comp @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl305,plain,
! [X0: subst,X1: term,X2: term] :
( ( sub @ ( sub @ X2 @ sh ) @ ( push @ X1 @ X0 ) )
= ( sub @ X2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl1127,plain,
! [X0: subst,X1: term] :
( ( ( sub @ sk__282 @ ( push @ X1 @ X0 ) )
= ( sub @ ( sk__283 @ ( term != sk__282 ) ) @ X0 ) )
| ( sk__282 = one ) ),
inference('sup+',[status(thm)],[zip_derived_cl259,zip_derived_cl305]) ).
thf(zip_derived_cl8,plain,
! [X5: term] :
( ( sk__279 @ ( sub @ X5 @ sk__281 ) )
| ~ ( var @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3116,plain,
! [X0: term] :
( ( sk__279 @ ( sub @ sk__282 @ ( push @ X0 @ sk__281 ) ) )
| ( sk__282 = one )
| ~ ( var @ ( sk__283 @ ( term != sk__282 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1127,zip_derived_cl8]) ).
thf(zip_derived_cl10_001,plain,
var @ sk__282,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X3: term > $o,X4: term] :
( ( var @ ( sk__283 @ X3 ) )
| ~ ( var @ X4 )
| ( X3 @ X4 )
| ~ ( X3 @ one ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl69,plain,
! [X0: term] :
( ( var
@ ( sk__283
@ ^ [Y0: term] : ( X0 != Y0 ) ) )
| ~ ( var @ X0 )
| ( ^ [Y0: term] : ( X0 != Y0 )
@ X0 )
| ~ ( ^ [Y0: term] : ( X0 != Y0 )
@ one ) ),
inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl73,plain,
! [X0: term] :
( ( var @ ( sk__283 @ ( term != X0 ) ) )
| ~ ( var @ X0 )
| ( X0 != X0 )
| ( X0 != one ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl74,plain,
! [X0: term] :
( ( var @ ( sk__283 @ ( term != X0 ) ) )
| ~ ( var @ X0 )
| ( X0 != one ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl75,plain,
! [X0: term] :
( ( var @ ( sk__283 @ ( term != X0 ) ) )
| ~ ( var @ X0 )
| ( X0 = one ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl104,plain,
( ( sk__282 = one )
| ( var @ ( sk__283 @ ( term != sk__282 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl75]) ).
thf(zip_derived_cl3136,plain,
! [X0: term] :
( ( sk__282 = one )
| ( sk__279 @ ( sub @ sk__282 @ ( push @ X0 @ sk__281 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3116,zip_derived_cl104]) ).
thf(zip_derived_cl9_002,plain,
~ ( sk__279 @ ( sub @ sk__282 @ ( push @ sk__280 @ sk__281 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3137,plain,
sk__282 = one,
inference('sup-',[status(thm)],[zip_derived_cl3136,zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
! [X8: term,X9: subst] :
( ( sub @ one @ ( push @ X8 @ X9 ) )
= X8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
sk__279 @ sk__280,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3143,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl3137,zip_derived_cl12,zip_derived_cl7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG251^3 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vCcnVXLwgc true
% 0.13/0.34 % Computer : n007.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 : Mon Aug 28 05:15:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /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
% 1.38/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.38/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.38/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.44/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 12.24/2.23 % Solved by lams/40_noforms.sh.
% 12.24/2.23 % done 448 iterations in 1.411s
% 12.24/2.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.24/2.23 % SZS output start Refutation
% See solution above
% 12.24/2.23
% 12.24/2.23
% 12.24/2.23 % Terminating...
% 12.24/2.28 % Runner terminated.
% 12.27/2.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------