%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG248^3 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IWy5maPlXW true
% Computer : n020.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 Oct 2 04:28:25 PM UTC 2025
% Result : Theorem 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 14 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 99 ( 4 ~; 2 |; 0 &; 76 @)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 44 ( 12 ^; 32 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(axvarcons_type,type,
axvarcons: $o ).
thf(pushprop_lem1v2_type,type,
pushprop_lem1v2: $o ).
thf(push_type,type,
push: term > subst > subst ).
thf(one_type,type,
one: term ).
thf(sk__26_type,type,
sk__26: term ).
thf(sk__24_type,type,
sk__24: term > $o ).
thf(pushprop_p_and_p_prime_type,type,
pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).
thf(sub_type,type,
sub: term > subst > term ).
thf(sk__27_type,type,
sk__27: subst ).
thf(sk__25_type,type,
sk__25: term > $o ).
thf(pushprop_lem1v2_lthm_type,type,
pushprop_lem1v2_lthm: $o ).
thf(pushprop_lem1v2_lthm,axiom,
( pushprop_lem1v2_lthm
= ( axvarcons
=> pushprop_lem1v2 ) ) ).
thf('0',plain,
( pushprop_lem1v2_lthm
= ( axvarcons
=> pushprop_lem1v2 ) ),
define([status(thm)]) ).
thf(pushprop_lem1v2,axiom,
( pushprop_lem1v2
= ( ! [P: term > $o,Q: term > $o,A: term,M: subst] :
( ( P @ A )
=> ( ( pushprop_p_and_p_prime @ A @ M @ P @ Q )
=> ( Q @ one ) ) ) ) ) ).
thf('1',plain,
( pushprop_lem1v2
= ( ! [X4: term > $o,X6: term > $o,X8: term,X10: subst] :
( ( X4 @ X8 )
=> ( ( pushprop_p_and_p_prime @ X8 @ X10 @ X4 @ X6 )
=> ( X6 @ one ) ) ) ) ),
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(axvarcons,axiom,
( axvarcons
= ( ! [A: term,M: subst] :
( ( sub @ one @ ( push @ A @ M ) )
= A ) ) ) ).
thf('4',plain,
( axvarcons
= ( ! [X4: term,X6: subst] :
( ( sub @ one @ ( push @ X4 @ X6 ) )
= X4 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
pushprop_lem1v2_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: term,X6: subst] :
( ( sub @ one @ ( push @ X4 @ X6 ) )
= X4 )
=> ! [X8: term > $o,X10: term > $o,X12: term,X14: subst] :
( ( X8 @ X12 )
=> ( ! [X16: term] :
( ( X10 @ X16 )
<=> ( X8 @ ( sub @ X16 @ ( push @ X12 @ X14 ) ) ) )
=> ( X10 @ one ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: term,X6: subst] :
( ( sub @ one @ ( push @ X4 @ X6 ) )
= X4 )
=> ! [X8: term > $o,X10: term > $o,X12: term,X14: subst] :
( ( X8 @ X12 )
=> ( ! [X16: term] :
( ( X10 @ X16 )
<=> ( X8 @ ( sub @ X16 @ ( push @ X12 @ X14 ) ) ) )
=> ( X10 @ one ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: term,X1: subst] :
( ( sub @ one @ ( push @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X2: term] :
( ( sk__25 @ X2 )
| ~ ( sk__24 @ ( sub @ X2 @ ( push @ sk__26 @ sk__27 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
( ~ ( sk__24 @ sk__26 )
| ( sk__25 @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
sk__24 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( sk__25 @ one ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl2,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG248^3 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IWy5maPlXW true
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:57:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.55/0.69 % Total configuration time : 828
% 0.55/0.69 % Estimated wc time : 1656
% 0.55/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.78 % Solved by lams/40_c.s.sh.
% 0.60/0.78 % done 4 iterations in 0.021s
% 0.60/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.78 % SZS output start Refutation
% See solution above
% 0.60/0.78
% 0.60/0.78
% 0.60/0.78 % Terminating...
% 0.67/0.88 % Runner terminated.
% 0.67/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------