TSTP Solution File: ALG249^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG249^3 : 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.r5eK816F0Z true
% Computer : n008.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 17:12:27 EDT 2023
% Result : Theorem 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 29
% Syntax : Number of formulae : 42 ( 19 unt; 17 typ; 0 def)
% Number of atoms : 62 ( 22 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 211 ( 7 ~; 4 |; 0 &; 167 @)
% ( 5 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 73 ( 12 ^; 61 !; 0 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(axclos_type,type,
axclos: $o ).
thf(sk__80_type,type,
sk__80: subst ).
thf(push_type,type,
push: term > subst > subst ).
thf(axshiftcons_type,type,
axshiftcons: $o ).
thf(pushprop_lem2v2_lthm_type,type,
pushprop_lem2v2_lthm: $o ).
thf(comp_type,type,
comp: subst > subst > subst ).
thf(sh_type,type,
sh: subst ).
thf(pushprop_lem2v2_type,type,
pushprop_lem2v2: $o ).
thf(sk__77_type,type,
sk__77: term > $o ).
thf(sk__79_type,type,
sk__79: term ).
thf(pushprop_p_and_p_prime_type,type,
pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).
thf(sk__76_type,type,
sk__76: term > $o ).
thf(sub_type,type,
sub: term > subst > term ).
thf(var_type,type,
var: term > $o ).
thf(sk__78_type,type,
sk__78: term ).
thf(pushprop_lem2v2_lthm,axiom,
( pushprop_lem2v2_lthm
= ( axclos
=> ( axshiftcons
=> pushprop_lem2v2 ) ) ) ).
thf('0',plain,
( pushprop_lem2v2_lthm
= ( axclos
=> ( axshiftcons
=> pushprop_lem2v2 ) ) ),
define([status(thm)]) ).
thf(pushprop_lem2v2,axiom,
( pushprop_lem2v2
= ( ! [P: term > $o,Q: term > $o,A: term,M: subst] :
( ( pushprop_p_and_p_prime @ A @ M @ P @ Q )
=> ( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ! [C: term] :
( ( var @ C )
=> ( ( Q @ C )
=> ( Q @ ( sub @ C @ sh ) ) ) ) ) ) ) ) ).
thf('1',plain,
( pushprop_lem2v2
= ( ! [X4: term > $o,X6: term > $o,X8: term,X10: subst] :
( ( pushprop_p_and_p_prime @ X8 @ X10 @ X4 @ X6 )
=> ( ! [X12: term] :
( ( var @ X12 )
=> ( X4 @ ( sub @ X12 @ X10 ) ) )
=> ! [X14: term] :
( ( var @ X14 )
=> ( ( X6 @ X14 )
=> ( X6 @ ( sub @ X14 @ sh ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(pushprop_p_and_p_prime,axiom,
( pushprop_p_and_p_prime
= ( ^ [A: term,M: subst,P: term > $o,Q: term > $o] :
! [X: term] :
( ( Q @ X )
<=> ( P @ ( sub @ X @ ( push @ A @ M ) ) ) ) ) ) ).
thf('2',plain,
( pushprop_p_and_p_prime
= ( ^ [A: term,M: subst,P: term > $o,Q: term > $o] :
! [X: term] :
( ( Q @ X )
<=> ( P @ ( sub @ X @ ( push @ A @ M ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[pushprop_p_and_p_prime]) ).
thf('3',plain,
( pushprop_p_and_p_prime
= ( ^ [V_1: term,V_2: subst,V_3: term > $o,V_4: term > $o] :
! [X4: term] :
( ( V_4 @ X4 )
<=> ( V_3 @ ( sub @ X4 @ ( push @ V_1 @ V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(axshiftcons,axiom,
( axshiftcons
= ( ! [A: term,M: subst] :
( ( comp @ sh @ ( push @ A @ M ) )
= M ) ) ) ).
thf('4',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('5',plain,
( axclos
= ( ! [X4: term,X6: subst,X8: subst] :
( ( sub @ ( sub @ X4 @ X6 ) @ X8 )
= ( sub @ X4 @ ( comp @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
pushprop_lem2v2_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: term,X6: subst,X8: subst] :
( ( sub @ ( sub @ X4 @ X6 ) @ X8 )
= ( sub @ X4 @ ( comp @ X6 @ X8 ) ) )
=> ( ! [X10: term,X12: subst] :
( ( comp @ sh @ ( push @ X10 @ X12 ) )
= X12 )
=> ! [X14: term > $o,X16: term > $o,X18: term,X20: subst] :
( ! [X22: term] :
( ( X16 @ X22 )
<=> ( X14 @ ( sub @ X22 @ ( push @ X18 @ X20 ) ) ) )
=> ( ! [X24: term] :
( ( var @ X24 )
=> ( X14 @ ( sub @ X24 @ X20 ) ) )
=> ! [X26: term] :
( ( var @ X26 )
=> ( ( X16 @ X26 )
=> ( X16 @ ( sub @ X26 @ sh ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: term,X6: subst,X8: subst] :
( ( sub @ ( sub @ X4 @ X6 ) @ X8 )
= ( sub @ X4 @ ( comp @ X6 @ X8 ) ) )
=> ( ! [X10: term,X12: subst] :
( ( comp @ sh @ ( push @ X10 @ X12 ) )
= X12 )
=> ! [X14: term > $o,X16: term > $o,X18: term,X20: subst] :
( ! [X22: term] :
( ( X16 @ X22 )
<=> ( X14 @ ( sub @ X22 @ ( push @ X18 @ X20 ) ) ) )
=> ( ! [X24: term] :
( ( var @ X24 )
=> ( X14 @ ( sub @ X24 @ X20 ) ) )
=> ! [X26: term] :
( ( var @ X26 )
=> ( ( X16 @ X26 )
=> ( X16 @ ( sub @ X26 @ sh ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X6: subst,X7: term] :
( ( comp @ sh @ ( push @ X7 @ X6 ) )
= X6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,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_cl8,plain,
! [X0: subst,X1: term,X2: term] :
( ( sub @ ( sub @ X2 @ sh ) @ ( push @ X1 @ X0 ) )
= ( sub @ X2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
! [X3: term] :
( ( sk__77 @ X3 )
| ~ ( sk__76 @ ( sub @ X3 @ ( push @ sk__78 @ sk__80 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
! [X0: term] :
( ~ ( sk__76 @ ( sub @ X0 @ sk__80 ) )
| ( sk__77 @ ( sub @ X0 @ sh ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X5: term] :
( ( sk__76 @ ( sub @ X5 @ sk__80 ) )
| ~ ( var @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
! [X0: term] :
( ( sk__77 @ ( sub @ X0 @ sh ) )
| ~ ( var @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl6]) ).
thf(zip_derived_cl2,plain,
~ ( sk__77 @ ( sub @ sk__79 @ sh ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
~ ( var @ sk__79 ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
var @ sk__79,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl24,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG249^3 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r5eK816F0Z true
% 0.13/0.35 % Computer : n008.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 : Mon Aug 28 04:52:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77 % Solved by lams/40_c.s.sh.
% 0.56/0.77 % done 10 iterations in 0.029s
% 0.56/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77 % SZS output start Refutation
% See solution above
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77 % Terminating...
% 0.59/0.87 % Runner terminated.
% 0.59/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------