%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO485^6 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.apfoBLmfQU true
% Computer : n001.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 05:07:43 PM UTC 2025
% Result : Theorem 1.31s 0.63s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 40 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 36 equ; 6 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 155 ( 32 ~; 12 |; 0 &; 99 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 5 con; 0-3 aty)
% ( 12 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 85 ( 56 ^; 29 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(rel_s5_type,type,
rel_s5: $i > $i > $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(mdia_s5_type,type,
mdia_s5: ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': mu ).
thf(mbox_s5_type,type,
mbox_s5: ( $i > $o ) > $i > $o ).
thf(meq_ind_type,type,
meq_ind: mu > mu > $i > $o ).
thf(mexists_ind_type,type,
mexists_ind: ( mu > $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(mdia_s5,axiom,
( mdia_s5
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_s5,axiom,
( mbox_s5
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s5 @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_s5
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s5 @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s5]) ).
thf('1',plain,
( mbox_s5
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_s5 @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('2',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('3',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('4',plain,
( mdia_s5
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_s5,'1','3']) ).
thf('5',plain,
( mdia_s5
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('6',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('7',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ) ).
thf('8',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('9',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_ind,'9','3']) ).
thf('11',plain,
( mexists_ind
= ( ^ [V_1: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [V_2: mu] : ( mnot @ ( V_1 @ V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(meq_ind,axiom,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ) ).
thf('12',plain,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[meq_ind]) ).
thf('13',plain,
( meq_ind
= ( ^ [V_1: mu,V_2: mu,V_3: $i] : ( V_1 = V_2 ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mdia_s5
@ ( mexists_ind
@ ^ [Y: mu] : ( meq_ind @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: mu] :
~ ! [X8: $i] :
( ~ ( rel_s5 @ X4 @ X8 )
| ! [X10: mu] : ( X6 != X10 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: mu] :
~ ! [X8: $i] :
( ~ ( rel_s5 @ X4 @ X8 )
| ! [X10: mu] : ( X6 != X10 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu] :
( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s5 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] : ( Y1 != Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25,plain,
~ ( !!
@ ^ [Y0: mu] :
( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s5 @ '#sk1' @ Y1 ) )
| ( !!
@ ^ [Y2: mu] : ( Y0 != Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl26,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s5 @ '#sk1' @ Y0 ) )
| ( !!
@ ^ [Y1: mu] : ( '#sk2' != Y1 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
! [X2: $i] :
( ( (~) @ ( rel_s5 @ '#sk1' @ X2 ) )
| ( !!
@ ^ [Y0: mu] : ( '#sk2' != Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
! [X2: $i] :
( ~ ( rel_s5 @ '#sk1' @ X2 )
| ( !!
@ ^ [Y0: mu] : ( '#sk2' != Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: mu] :
( ( '#sk2' != X4 )
| ~ ( rel_s5 @ '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: mu] :
( ( '#sk2' != X4 )
| ~ ( rel_s5 @ '#sk1' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
! [X2: $i] :
~ ( rel_s5 @ '#sk1' @ X2 ),
inference(simplify,[status(thm)],[zip_derived_cl30]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('14',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('15',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mreflexive @ rel_s5 ).
thf(zf_stmt_2,axiom,
! [X4: $i] : ( rel_s5 @ X4 @ X4 ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] : ( rel_s5 @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] : ( rel_s5 @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl32,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYO485^6 : TPTP v9.2.0. Released v4.0.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.apfoBLmfQU true
% 0.08/0.26 % Computer : n001.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Wed Oct 1 18:05:53 EDT 2025
% 0.08/0.26 % CPUTime :
% 0.08/0.26 % Running portfolio for 300 s
% 0.08/0.26 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26 % Number of cores: 8
% 0.08/0.26 % Python version: Python 3.6.8
% 0.08/0.27 % Running in HO mode
% 0.11/0.52 % Total configuration time : 828
% 0.11/0.52 % Estimated wc time : 1656
% 0.11/0.52 % Estimated cpu time (8 cpus) : 207.0
% 0.11/0.59 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.11/0.59 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.27/0.61 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.27/0.61 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.27/0.61 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.27/0.61 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.27/0.61 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.27/0.61 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.31/0.63 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.31/0.63 % Solved by lams/35_full_unif4.sh.
% 1.31/0.63 % done 4 iterations in 0.022s
% 1.31/0.63 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.63 % SZS output start Refutation
% See solution above
% 1.31/0.63
% 1.31/0.63
% 1.31/0.63 % Terminating...
% 1.76/0.71 % Runner terminated.
% 1.76/0.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------