%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEG018^1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1eJq0aXIA8 true
% Computer : n019.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 04:33:32 PM UTC 2025
% Result : Theorem 0.50s 0.83s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of formulae : 27 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 112 ( 21 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 225 ( 27 ~; 5 |; 29 &; 149 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 88 ( 43 ^; 30 !; 15 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(reg_type,type,
reg: $tType ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(ntpp_type,type,
ntpp: reg > reg > $o ).
thf(sk__22_type,type,
sk__22: reg ).
thf(pp_type,type,
pp: reg > reg > $o ).
thf(fool_type,type,
fool: $i > $i > $o ).
thf(ec_type,type,
ec: reg > reg > $o ).
thf(o_type,type,
o: reg > reg > $o ).
thf(c_type,type,
c: reg > reg > $o ).
thf(p_type,type,
p: reg > reg > $o ).
thf(sk__23_type,type,
sk__23: reg > reg ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(ntpp,axiom,
( ntpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ~ ? [Z: reg] :
( ( ec @ Z @ Y )
& ( ec @ Z @ X ) ) ) ) ) ).
thf(ec,axiom,
( ec
= ( ^ [X: reg,Y: reg] :
( ( c @ X @ Y )
& ~ ( o @ X @ Y ) ) ) ) ).
thf(o,axiom,
( o
= ( ^ [X: reg,Y: reg] :
? [Z: reg] :
( ( p @ Z @ Y )
& ( p @ Z @ X ) ) ) ) ).
thf(p,axiom,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ) ).
thf('0',plain,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[p]) ).
thf('1',plain,
( p
= ( ^ [V_1: reg,V_2: reg] :
! [X4: reg] :
( ( c @ X4 @ V_1 )
=> ( c @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( o
= ( ^ [X: reg,Y: reg] :
? [Z: reg] :
( ( p @ Z @ Y )
& ( p @ Z @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[o,'1']) ).
thf('3',plain,
( o
= ( ^ [V_1: reg,V_2: reg] :
? [X4: reg] :
( ( p @ X4 @ V_2 )
& ( p @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( ec
= ( ^ [X: reg,Y: reg] :
( ( c @ X @ Y )
& ~ ( o @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ec,'3','1']) ).
thf('5',plain,
( ec
= ( ^ [V_1: reg,V_2: reg] :
( ( c @ V_1 @ V_2 )
& ~ ( o @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('6',plain,
( ntpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ~ ? [Z: reg] :
( ( ec @ Z @ Y )
& ( ec @ Z @ X ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ntpp,'5','3','1']) ).
thf('7',plain,
( ntpp
= ( ^ [V_1: reg,V_2: reg] :
( ( pp @ V_1 @ V_2 )
& ~ ? [X4: reg] :
( ( ec @ X4 @ V_2 )
& ( ec @ X4 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(pp,axiom,
( pp
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ) ).
thf('8',plain,
( pp
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[pp,'1']) ).
thf('9',plain,
( pp
= ( ^ [V_1: reg,V_2: reg] :
( ( p @ V_1 @ V_2 )
& ~ ( p @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('10',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('11',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('12',plain,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('13',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_2 @ X4 )
| ~ ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(con,conjecture,
( mvalid
@ ( mbox @ fool
@ ^ [X: $i] :
~ ? [Z: reg] :
! [Y: reg] : ( ntpp @ Z @ Y ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ~ ? [X8: reg] :
! [X10: reg] :
( ! [X12: reg] :
( ( c @ X12 @ X8 )
=> ( c @ X12 @ X10 ) )
& ~ ! [X14: reg] :
( ( c @ X14 @ X10 )
=> ( c @ X14 @ X8 ) )
& ~ ? [X16: reg] :
( ( c @ X16 @ X10 )
& ~ ? [X18: reg] :
( ! [X20: reg] :
( ( c @ X20 @ X18 )
=> ( c @ X20 @ X10 ) )
& ! [X22: reg] :
( ( c @ X22 @ X18 )
=> ( c @ X22 @ X16 ) ) )
& ( c @ X16 @ X8 )
& ~ ? [X24: reg] :
( ! [X26: reg] :
( ( c @ X26 @ X24 )
=> ( c @ X26 @ X8 ) )
& ! [X28: reg] :
( ( c @ X28 @ X24 )
=> ( c @ X28 @ X16 ) ) ) ) )
| ~ ( fool @ X4 @ X6 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ~ ? [X8: reg] :
! [X10: reg] :
( ! [X12: reg] :
( ( c @ X12 @ X8 )
=> ( c @ X12 @ X10 ) )
& ~ ! [X14: reg] :
( ( c @ X14 @ X10 )
=> ( c @ X14 @ X8 ) )
& ~ ? [X16: reg] :
( ( c @ X16 @ X10 )
& ~ ? [X18: reg] :
( ! [X20: reg] :
( ( c @ X20 @ X18 )
=> ( c @ X20 @ X10 ) )
& ! [X22: reg] :
( ( c @ X22 @ X18 )
=> ( c @ X22 @ X16 ) ) )
& ( c @ X16 @ X8 )
& ~ ? [X24: reg] :
( ! [X26: reg] :
( ( c @ X26 @ X24 )
=> ( c @ X26 @ X8 ) )
& ! [X28: reg] :
( ( c @ X28 @ X24 )
=> ( c @ X28 @ X16 ) ) ) ) )
| ~ ( fool @ X4 @ X6 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
! [X2: reg] : ( c @ ( sk__23 @ X2 ) @ X2 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40,plain,
! [X2: reg] :
~ ( c @ ( sk__23 @ X2 ) @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl45,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.17 % Problem : GEG018^1 : TPTP v9.2.0. Released v4.1.0.
% 0.12/0.18 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1eJq0aXIA8 true
% 0.12/0.41 % Computer : n019.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8042.1875MB
% 0.12/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Wed Oct 1 11:14:53 EDT 2025
% 0.12/0.41 % CPUTime :
% 0.12/0.41 % Running portfolio for 300 s
% 0.19/0.41 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 % Number of cores: 8
% 0.19/0.41 % Python version: Python 3.6.8
% 0.19/0.41 % Running in HO mode
% 0.47/0.66 % Total configuration time : 828
% 0.47/0.66 % Estimated wc time : 1656
% 0.47/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.50/0.83 % Solved by lams/40_c.s.sh.
% 0.50/0.83 % done 6 iterations in 0.042s
% 0.50/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.83 % SZS output start Refutation
% See solution above
% 0.50/0.83
% 0.50/0.83
% 0.50/0.83 % Terminating...
% 0.52/0.88 % Runner terminated.
% 1.61/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------