%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO932^10 : TPTP v9.2.0. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jaYj1scCEn true
% Computer : n008.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 05:08:35 PM UTC 2025
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 113 ( 18 equ; 11 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 214 ( 33 ~; 25 |; 0 &; 140 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 6 con; 0-3 aty)
% ( 16 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 80 ( 57 ^; 23 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': mu ).
thf(r_type,type,
r: $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(p_type,type,
p: mu > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',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('2',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('3',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(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ) ).
thf('4',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('5',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('6',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'7','9']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(ex2b,conjecture,
( mvalid
@ ( mimplies
@ ( mbox @ r
@ ( mforall_ind
@ ^ [X: mu] : ( p @ X ) ) )
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r @ ( p @ X ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ! [X10: mu,X12: $i] :
( ~ ( r @ X4 @ X12 )
| ( p @ X10 @ X12 ) )
| ~ ! [X6: $i] :
( ~ ( r @ X4 @ X6 )
| ! [X8: mu] : ( p @ X8 @ X6 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ! [X10: mu,X12: $i] :
( ~ ( r @ X4 @ X12 )
| ( p @ X10 @ X12 ) )
| ~ ! [X6: $i] :
( ~ ( r @ X4 @ X6 )
| ! [X8: mu] : ( p @ X8 @ X6 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: mu] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( r @ Y0 @ Y2 ) )
| ( p @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( r @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: mu] : ( p @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: mu] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( r @ '#sk1' @ Y1 ) )
| ( p @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( r @ '#sk1' @ Y0 ) )
| ( !!
@ ^ [Y1: mu] : ( p @ Y1 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: mu] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( r @ '#sk1' @ Y1 ) )
| ( p @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( r @ '#sk1' @ Y0 ) )
| ( p @ '#sk2' @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
~ ( ( (~) @ ( r @ '#sk1' @ '#sk3' ) )
| ( p @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
~ ( p @ '#sk2' @ '#sk3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( r @ '#sk1' @ Y0 ) )
| ( !!
@ ^ [Y1: mu] : ( p @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i] :
( ( (~) @ ( r @ '#sk1' @ X2 ) )
| ( !!
@ ^ [Y0: mu] : ( p @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( ~ ( r @ '#sk1' @ X2 )
| ( !!
@ ^ [Y0: mu] : ( p @ Y0 @ X2 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: mu] :
( ( p @ X4 @ X2 )
| ~ ( r @ '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
~ ( r @ '#sk1' @ '#sk3' ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl8,plain,
r @ '#sk1' @ '#sk3',
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO932^10 : TPTP v9.2.0. Bugfixed v5.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jaYj1scCEn true
% 0.14/0.35 % Computer : n008.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 17:56:23 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
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.57/0.65 % Total configuration time : 828
% 0.57/0.65 % Estimated wc time : 1656
% 0.57/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.76 % Solved by lams/35_full_unif4.sh.
% 0.58/0.76 % done 2 iterations in 0.016s
% 0.58/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.76 % SZS output start Refutation
% See solution above
% 0.58/0.76
% 0.58/0.76
% 0.58/0.76 % Terminating...
% 0.67/0.85 % Runner terminated.
% 0.67/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------