%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG250^3 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YHBnEafngr 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 Oct 2 04:28:26 PM UTC 2025
% Result : Theorem 0.49s 0.83s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 115 ( 6 ~; 2 |; 0 &; 86 @)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 43 ( 12 ^; 31 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(push_type,type,
push: term > subst > subst ).
thf(sk__73_type,type,
sk__73: term > $o ).
thf(sk__76_type,type,
sk__76: term ).
thf(sk__75_type,type,
sk__75: subst ).
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(pushprop_lem3v2_lthm_type,type,
pushprop_lem3v2_lthm: $o ).
thf(var_type,type,
var: term > $o ).
thf(pushprop_lem3v2_type,type,
pushprop_lem3v2: $o ).
thf(sk__72_type,type,
sk__72: term > $o ).
thf(sk__74_type,type,
sk__74: term ).
thf(pushprop_lem3v2_lthm,axiom,
pushprop_lem3v2_lthm = pushprop_lem3v2 ).
thf(pushprop_lem3v2,axiom,
( pushprop_lem3v2
= ( ! [P: term > $o,Q: term > $o,A: term,M: subst] :
( ( pushprop_p_and_p_prime @ A @ M @ P @ Q )
=> ( ! [B: term] :
( ( var @ B )
=> ( Q @ B ) )
=> ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) ) ) ) ).
thf('0',plain,
( pushprop_lem3v2
= ( ! [X4: term > $o,X6: term > $o,X8: term,X10: subst] :
( ( pushprop_p_and_p_prime @ X8 @ X10 @ X4 @ X6 )
=> ( ! [X12: term] :
( ( var @ X12 )
=> ( X6 @ X12 ) )
=> ! [X14: term] :
( ( var @ X14 )
=> ( X4 @ ( sub @ X14 @ ( push @ X8 @ X10 ) ) ) ) ) ) ) ),
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('1',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('2',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('3',plain,
pushprop_lem3v2_lthm = pushprop_lem3v2,
inference(simplify_rw_rule,[status(thm)],[pushprop_lem3v2_lthm,'0','2']) ).
thf('4',plain,
pushprop_lem3v2_lthm = pushprop_lem3v2,
define([status(thm)]) ).
thf(thm,conjecture,
pushprop_lem3v2_lthm ).
thf(zf_stmt_0,conjecture,
! [X4: term > $o,X6: term > $o,X8: term,X10: subst] :
( ! [X12: term] :
( ( X6 @ X12 )
<=> ( X4 @ ( sub @ X12 @ ( push @ X8 @ X10 ) ) ) )
=> ( ! [X14: term] :
( ( var @ X14 )
=> ( X6 @ X14 ) )
=> ! [X16: term] :
( ( var @ X16 )
=> ( X4 @ ( sub @ X16 @ ( push @ X8 @ X10 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: term > $o,X6: term > $o,X8: term,X10: subst] :
( ! [X12: term] :
( ( X6 @ X12 )
<=> ( X4 @ ( sub @ X12 @ ( push @ X8 @ X10 ) ) ) )
=> ( ! [X14: term] :
( ( var @ X14 )
=> ( X6 @ X14 ) )
=> ! [X16: term] :
( ( var @ X16 )
=> ( X4 @ ( sub @ X16 @ ( push @ X8 @ X10 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X2: term] :
( ( sk__73 @ X2 )
| ~ ( var @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: term] :
( ( sk__72 @ ( sub @ X0 @ ( push @ sk__74 @ sk__75 ) ) )
| ~ ( sk__73 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( sk__72 @ ( sub @ sk__76 @ ( push @ sk__74 @ sk__75 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
~ ( sk__73 @ sk__76 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
~ ( var @ sk__76 ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl0,plain,
var @ sk__76,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG250^3 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YHBnEafngr true
% 0.14/0.35 % Computer : n017.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 17:05:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.47/0.60 % Total configuration time : 828
% 0.47/0.60 % Estimated wc time : 1656
% 0.47/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.47/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.47/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.47/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.48/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.83 % Solved by lams/40_c.s.sh.
% 0.49/0.83 % done 4 iterations in 0.041s
% 0.49/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.83 % SZS output start Refutation
% See solution above
% 0.49/0.83
% 0.49/0.83
% 0.49/0.83 % Terminating...
% 1.63/1.00 % Runner terminated.
% 1.63/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------