TSTP Solution File: ALG247^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG247^2 : 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.3jpvjFXlfm true
% Computer : n029.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 17:12:26 EDT 2023
% Result : Theorem 0.19s 0.75s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 30 ( 12 unt; 11 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 : 35 ( 35 >; 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('#sk41_type',type,
'#sk41': subst ).
thf(push_type,type,
push: term > subst > subst ).
thf('#sk39_type',type,
'#sk39': term > $o ).
thf('#sk43_type',type,
'#sk43': ( term > $o ) > term ).
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('#sk40_type',type,
'#sk40': term ).
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_cl2,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_cl25,plain,
~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( ??
@ ^ [Y2: term > $o] :
( !!
@ ^ [Y3: term] :
( ( Y2 @ Y3 )
<=> ( '#sk39' @ ( sub @ Y3 @ ( push @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl26,plain,
~ ( !!
@ ^ [Y0: subst] :
( ??
@ ^ [Y1: term > $o] :
( !!
@ ^ [Y2: term] :
( ( Y1 @ Y2 )
<=> ( '#sk39' @ ( sub @ Y2 @ ( push @ '#sk40' @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
~ ( ??
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( ( Y0 @ Y1 )
<=> ( '#sk39' @ ( sub @ Y1 @ ( push @ '#sk40' @ '#sk41' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
! [X2: term > $o] :
~ ( !!
@ ^ [Y0: term] :
( ( X2 @ Y0 )
<=> ( '#sk39' @ ( sub @ Y0 @ ( push @ '#sk40' @ '#sk41' ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl30,plain,
! [X2: term > $o] :
~ ( ( X2 @ ( '#sk43' @ X2 ) )
<=> ( '#sk39' @ ( sub @ ( '#sk43' @ X2 ) @ ( push @ '#sk40' @ '#sk41' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl31,plain,
! [X2: term > $o] :
( ( X2 @ ( '#sk43' @ X2 ) )
!= ( '#sk39' @ ( sub @ ( '#sk43' @ X2 ) @ ( push @ '#sk40' @ '#sk41' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl43,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG247^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3jpvjFXlfm true
% 0.13/0.34 % Computer : n029.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 03:41:26 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.19/0.34 % Running in HO mode
% 0.19/0.59 % Total configuration time : 828
% 0.19/0.59 % Estimated wc time : 1656
% 0.19/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.67 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.67 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.19/0.75 % Solved by lams/35_full_unif4.sh.
% 0.19/0.75 % done 7 iterations in 0.046s
% 0.19/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.75 % SZS output start Refutation
% See solution above
% 0.19/0.75
% 0.19/0.75
% 0.19/0.75 % Terminating...
% 1.26/0.81 % Runner terminated.
% 1.26/0.82 % Zipperpin 1.5 exiting
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