%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG247^2 : 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.WWTVte7qcC true
% Computer : n021.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 0.61s 0.88s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 9 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 133 ( 8 ~; 0 |; 0 &; 99 @)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 7 con; 0-4 aty)
% ( 11 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 51 ( 27 ^; 20 !; 4 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf('#sk5_type',type,
'#sk5': ( term > $o ) > term ).
thf(push_type,type,
push: term > subst > subst ).
thf('#sk2_type',type,
'#sk2': term ).
thf('#sk3_type',type,
'#sk3': 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_lem0_lthm_type,type,
pushprop_lem0_lthm: $o ).
thf(pushprop_lem0_type,type,
pushprop_lem0: $o ).
thf('#sk1_type',type,
'#sk1': term > $o ).
thf(pushprop_lem0_lthm,axiom,
pushprop_lem0_lthm = pushprop_lem0 ).
thf(pushprop_lem0,axiom,
( pushprop_lem0
= ( ! [P: term > $o,A: term,M: subst] :
? [Q: term > $o] : ( pushprop_p_and_p_prime @ A @ M @ P @ Q ) ) ) ).
thf('0',plain,
( pushprop_lem0
= ( ! [X4: term > $o,X6: term,X8: subst] :
? [X10: term > $o] : ( pushprop_p_and_p_prime @ X6 @ X8 @ X4 @ 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_lem0_lthm = pushprop_lem0,
inference(simplify_rw_rule,[status(thm)],[pushprop_lem0_lthm,'0','2']) ).
thf('4',plain,
pushprop_lem0_lthm = pushprop_lem0,
define([status(thm)]) ).
thf(thm,conjecture,
pushprop_lem0_lthm ).
thf(zf_stmt_0,conjecture,
! [X4: term > $o,X6: term,X8: subst] :
? [X10: term > $o] :
! [X12: term] :
( ( X10 @ X12 )
<=> ( X4 @ ( sub @ X12 @ ( push @ X6 @ X8 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: term > $o,X6: term,X8: subst] :
? [X10: term > $o] :
! [X12: term] :
( ( X10 @ X12 )
<=> ( X4 @ ( sub @ X12 @ ( push @ X6 @ X8 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ??
@ ^ [Y3: term > $o] :
( !!
@ ^ [Y4: term] :
( ( Y3 @ Y4 )
<=> ( Y0 @ ( sub @ Y4 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( ??
@ ^ [Y2: term > $o] :
( !!
@ ^ [Y3: term] :
( ( Y2 @ Y3 )
<=> ( '#sk1' @ ( sub @ Y3 @ ( push @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: subst] :
( ??
@ ^ [Y1: term > $o] :
( !!
@ ^ [Y2: term] :
( ( Y1 @ Y2 )
<=> ( '#sk1' @ ( sub @ Y2 @ ( push @ '#sk2' @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ??
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( ( Y0 @ Y1 )
<=> ( '#sk1' @ ( sub @ Y1 @ ( push @ '#sk2' @ '#sk3' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: term > $o] :
~ ( !!
@ ^ [Y0: term] :
( ( X2 @ Y0 )
<=> ( '#sk1' @ ( sub @ Y0 @ ( push @ '#sk2' @ '#sk3' ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
! [X2: term > $o] :
~ ( ( X2 @ ( '#sk5' @ X2 ) )
<=> ( '#sk1' @ ( sub @ ( '#sk5' @ X2 ) @ ( push @ '#sk2' @ '#sk3' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: term > $o] :
( ( X2 @ ( '#sk5' @ X2 ) )
!= ( '#sk1' @ ( sub @ ( '#sk5' @ X2 ) @ ( push @ '#sk2' @ '#sk3' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl18,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG247^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WWTVte7qcC true
% 0.14/0.35 % Computer : n021.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 17:03:38 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.68 % Total configuration time : 828
% 0.56/0.68 % Estimated wc time : 1656
% 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.87 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.61/0.88 % Solved by lams/30_sp5.sh.
% 0.61/0.88 % done 2 iterations in 0.039s
% 0.61/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.88 % SZS output start Refutation
% See solution above
% 0.61/0.88
% 0.61/0.88
% 0.61/0.88 % Terminating...
% 0.67/0.98 % Runner terminated.
% 0.67/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------