%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO427^1 : 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.fndXKTlkxb true
% Computer : n014.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 05:07:27 PM UTC 2025
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 40 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 125 ( 24 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 176 ( 32 ~; 25 |; 0 &; 119 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 66 ( 42 ^; 24 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(q_type,type,
q: $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(rel_m_type,type,
rel_m: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(p_type,type,
p: $i > $o ).
thf(mdia_m_type,type,
mdia_m: ( $i > $o ) > $i > $o ).
thf(mbox_m_type,type,
mbox_m: ( $i > $o ) > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mdia_m,axiom,
( mdia_m
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_m @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_m,axiom,
( mbox_m
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_m @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_m
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_m @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_m]) ).
thf('1',plain,
( mbox_m
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_m @ 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_m
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_m @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_m,'1','3']) ).
thf('5',plain,
( mdia_m
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_m @ ( 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(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('8',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('9',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('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'9','3']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
thf('12',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'9','3']) ).
thf('13',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
mvalid @ ( mimplies @ ( mand @ ( mbox_m @ p ) @ ( mdia_m @ ( mbox_m @ ( mimplies @ p @ q ) ) ) ) @ ( mdia_m @ q ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ! [X8: $i] :
( ~ ! [X10: $i] :
( ~ ( p @ X10 )
| ( q @ X10 )
| ~ ( rel_m @ X8 @ X10 ) )
| ~ ( rel_m @ X4 @ X8 ) )
| ~ ! [X6: $i] :
( ( p @ X6 )
| ~ ( rel_m @ X4 @ X6 ) )
| ~ ! [X12: $i] :
( ~ ( q @ X12 )
| ~ ( rel_m @ X4 @ X12 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ! [X8: $i] :
( ~ ! [X10: $i] :
( ~ ( p @ X10 )
| ( q @ X10 )
| ~ ( rel_m @ X8 @ X10 ) )
| ~ ( rel_m @ X4 @ X8 ) )
| ~ ! [X6: $i] :
( ( p @ X6 )
| ~ ( rel_m @ X4 @ X6 ) )
| ~ ! [X12: $i] :
( ~ ( q @ X12 )
| ~ ( rel_m @ X4 @ X12 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
rel_m @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ~ ( q @ X0 )
| ~ ( rel_m @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
~ ( q @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
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_m ).
thf(zf_stmt_2,axiom,
! [X4: $i] : ( rel_m @ X4 @ X4 ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( rel_m @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( ~ ( p @ X2 )
| ( q @ X2 )
| ~ ( rel_m @ sk__4 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
( ( q @ sk__4 )
| ~ ( p @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
! [X1: $i] :
( ( p @ X1 )
| ~ ( rel_m @ sk__3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_001,plain,
rel_m @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
p @ sk__4,
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl21,plain,
q @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl5]) ).
thf(zip_derived_cl25,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : SYO427^1 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fndXKTlkxb true
% 0.16/0.38 % Computer : n014.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Wed Oct 1 18:13:53 EDT 2025
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % Running portfolio for 300 s
% 0.16/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.38 % Number of cores: 8
% 0.16/0.39 % Python version: Python 3.6.8
% 0.16/0.39 % Running in HO mode
% 0.58/0.71 % Total configuration time : 828
% 0.58/0.71 % Estimated wc time : 1656
% 0.58/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.80 % Solved by lams/40_c.s.sh.
% 0.60/0.80 % done 14 iterations in 0.016s
% 0.60/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.80 % SZS output start Refutation
% See solution above
% 0.60/0.80
% 0.60/0.80
% 0.60/0.80 % Terminating...
% 1.19/0.89 % Runner terminated.
% 1.19/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------