%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO409^1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Kvmlax2P6F true
% Computer : n026.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 05:07:25 PM UTC 2025
% Result : Theorem 0.53s 0.80s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 96 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 283 ( 24 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 585 ( 113 ~; 120 |; 0 &; 352 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 82 ( 45 ^; 37 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(q_type,type,
q: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(rel_k_type,type,
rel_k: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $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_k_type,type,
mdia_k: ( $i > $o ) > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(mbox_k_type,type,
mbox_k: ( $i > $o ) > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(mequiv_type,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mdia_k,axiom,
( mdia_k
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_k @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_k,axiom,
( mbox_k
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_k @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_k
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_k @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_k]) ).
thf('1',plain,
( mbox_k
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_k @ 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_k
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_k @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_k,'1','3']) ).
thf('5',plain,
( mdia_k
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_k @ ( 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(mequiv,axiom,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
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('14',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv,'11','13','9','3']) ).
thf('15',plain,
( mequiv
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ ( mimplies @ V_1 @ V_2 ) @ ( mimplies @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
mvalid @ ( mequiv @ ( mdia_k @ ( mor @ p @ q ) ) @ ( mor @ ( mdia_k @ p ) @ ( mdia_k @ q ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
~ ( ~ ( ! [X6: $i] :
( ~ ( ( p @ X6 )
| ( q @ X6 ) )
| ~ ( rel_k @ X4 @ X6 ) )
| ~ ! [X8: $i] :
( ~ ( p @ X8 )
| ~ ( rel_k @ X4 @ X8 ) )
| ~ ! [X10: $i] :
( ~ ( q @ X10 )
| ~ ( rel_k @ X4 @ X10 ) ) )
| ~ ( ~ ( ~ ! [X12: $i] :
( ~ ( p @ X12 )
| ~ ( rel_k @ X4 @ X12 ) )
| ~ ! [X14: $i] :
( ~ ( q @ X14 )
| ~ ( rel_k @ X4 @ X14 ) ) )
| ~ ! [X16: $i] :
( ~ ( ( p @ X16 )
| ( q @ X16 ) )
| ~ ( rel_k @ X4 @ X16 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
~ ( ~ ( ! [X6: $i] :
( ~ ( ( p @ X6 )
| ( q @ X6 ) )
| ~ ( rel_k @ X4 @ X6 ) )
| ~ ! [X8: $i] :
( ~ ( p @ X8 )
| ~ ( rel_k @ X4 @ X8 ) )
| ~ ! [X10: $i] :
( ~ ( q @ X10 )
| ~ ( rel_k @ X4 @ X10 ) ) )
| ~ ( ~ ( ~ ! [X12: $i] :
( ~ ( p @ X12 )
| ~ ( rel_k @ X4 @ X12 ) )
| ~ ! [X14: $i] :
( ~ ( q @ X14 )
| ~ ( rel_k @ X4 @ X14 ) ) )
| ~ ! [X16: $i] :
( ~ ( ( p @ X16 )
| ( q @ X16 ) )
| ~ ( rel_k @ X4 @ X16 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
( ( q @ sk__3 )
| ( p @ sk__3 )
| ( p @ sk__4 )
| ( rel_k @ sk__2 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ( p @ sk__4 )
| ( q @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ( p @ sk__4 )
| ( rel_k @ sk__2 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ( rel_k @ sk__2 @ sk__4 )
| ( rel_k @ sk__2 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( rel_k @ sk__2 @ sk__3 )
| ~ ( q @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl29,plain,
( ( rel_k @ sk__2 @ sk__4 )
| ( rel_k @ sk__2 @ sk__3 )
| ~ ( q @ sk__5 )
| ( rel_k @ sk__2 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl37,plain,
( ~ ( q @ sk__5 )
| ( rel_k @ sk__2 @ sk__3 )
| ( rel_k @ sk__2 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl1,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ( rel_k @ sk__2 @ sk__4 )
| ( q @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl68,plain,
( ( rel_k @ sk__2 @ sk__4 )
| ( rel_k @ sk__2 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl37,zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( rel_k @ sk__2 @ sk__3 )
| ~ ( p @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl76,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ~ ( p @ sk__4 )
| ( rel_k @ sk__2 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl5]) ).
thf(zip_derived_cl87,plain,
( ~ ( p @ sk__4 )
| ( rel_k @ sk__2 @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl94,plain,
( ( rel_k @ sk__2 @ sk__5 )
| ( rel_k @ sk__2 @ sk__3 )
| ( rel_k @ sk__2 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl87]) ).
thf(zip_derived_cl99,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ( rel_k @ sk__2 @ sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i] :
( ( rel_k @ sk__2 @ sk__3 )
| ~ ( q @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl111,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ~ ( q @ sk__5 )
| ( rel_k @ sk__2 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl4]) ).
thf(zip_derived_cl122,plain,
( ~ ( q @ sk__5 )
| ( rel_k @ sk__2 @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl130,plain,
( ( p @ sk__4 )
| ( rel_k @ sk__2 @ sk__3 )
| ( rel_k @ sk__2 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl122]) ).
thf(zip_derived_cl137,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ( p @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl87_002,plain,
( ~ ( p @ sk__4 )
| ( rel_k @ sk__2 @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl149,plain,
rel_k @ sk__2 @ sk__3,
inference(clc,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X2: $i] :
( ~ ( rel_k @ sk__2 @ X2 )
| ~ ( q @ X2 )
| ~ ( q @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl150,plain,
! [X0: $i] :
( ~ ( rel_k @ sk__2 @ X0 )
| ~ ( q @ X0 )
| ~ ( q @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl22]) ).
thf(zip_derived_cl166,plain,
( ~ ( q @ sk__3 )
| ~ ( rel_k @ sk__2 @ sk__3 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl150]) ).
thf(zip_derived_cl149_003,plain,
rel_k @ sk__2 @ sk__3,
inference(clc,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).
thf(zip_derived_cl168,plain,
~ ( q @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl149]) ).
thf(zip_derived_cl172,plain,
( ( p @ sk__3 )
| ( p @ sk__4 )
| ( rel_k @ sk__2 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl168]) ).
thf(zip_derived_cl149_004,plain,
rel_k @ sk__2 @ sk__3,
inference(clc,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_k @ sk__2 @ X1 )
| ~ ( p @ X1 )
| ~ ( p @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl152,plain,
! [X0: $i] :
( ~ ( rel_k @ sk__2 @ X0 )
| ~ ( p @ X0 )
| ~ ( p @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl17]) ).
thf(zip_derived_cl180,plain,
( ~ ( p @ sk__3 )
| ~ ( rel_k @ sk__2 @ sk__3 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl149_005,plain,
rel_k @ sk__2 @ sk__3,
inference(clc,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).
thf(zip_derived_cl182,plain,
~ ( p @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl149]) ).
thf(zip_derived_cl202,plain,
( ( p @ sk__4 )
| ( rel_k @ sk__2 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl182]) ).
thf(zip_derived_cl6,plain,
( ( q @ sk__3 )
| ( p @ sk__3 )
| ( rel_k @ sk__2 @ sk__4 )
| ( rel_k @ sk__2 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl168_006,plain,
~ ( q @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl149]) ).
thf(zip_derived_cl170,plain,
( ( p @ sk__3 )
| ( rel_k @ sk__2 @ sk__4 )
| ( rel_k @ sk__2 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl168]) ).
thf(zip_derived_cl182_007,plain,
~ ( p @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl149]) ).
thf(zip_derived_cl203,plain,
( ( rel_k @ sk__2 @ sk__4 )
| ( rel_k @ sk__2 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl182]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( q @ sk__3 )
| ( p @ sk__3 )
| ~ ( q @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl182_008,plain,
~ ( p @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl149]) ).
thf(zip_derived_cl184,plain,
! [X0: $i] :
( ( q @ sk__3 )
| ~ ( q @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl182]) ).
thf(zip_derived_cl168_009,plain,
~ ( q @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl149]) ).
thf(zip_derived_cl199,plain,
! [X0: $i] :
( ~ ( rel_k @ sk__2 @ X0 )
| ~ ( q @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl184,zip_derived_cl168]) ).
thf(zip_derived_cl205,plain,
( ( rel_k @ sk__2 @ sk__4 )
| ~ ( q @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl199]) ).
thf(zip_derived_cl7,plain,
( ( q @ sk__3 )
| ( p @ sk__3 )
| ( rel_k @ sk__2 @ sk__4 )
| ( q @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl168_010,plain,
~ ( q @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl149]) ).
thf(zip_derived_cl171,plain,
( ( p @ sk__3 )
| ( rel_k @ sk__2 @ sk__4 )
| ( q @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl168]) ).
thf(zip_derived_cl182_011,plain,
~ ( p @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl149]) ).
thf(zip_derived_cl186,plain,
( ( rel_k @ sk__2 @ sk__4 )
| ( q @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl182]) ).
thf(zip_derived_cl208,plain,
rel_k @ sk__2 @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl186]) ).
thf(zip_derived_cl17_012,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_k @ sk__2 @ X1 )
| ~ ( p @ X1 )
| ~ ( p @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl209,plain,
! [X0: $i] :
( ~ ( rel_k @ sk__2 @ X0 )
| ~ ( p @ X0 )
| ~ ( p @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl17]) ).
thf(zip_derived_cl214,plain,
( ~ ( p @ sk__4 )
| ~ ( rel_k @ sk__2 @ sk__4 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl208_013,plain,
rel_k @ sk__2 @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl186]) ).
thf(zip_derived_cl217,plain,
~ ( p @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl208]) ).
thf(zip_derived_cl220,plain,
rel_k @ sk__2 @ sk__5,
inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl217]) ).
thf(zip_derived_cl199_014,plain,
! [X0: $i] :
( ~ ( rel_k @ sk__2 @ X0 )
| ~ ( q @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl184,zip_derived_cl168]) ).
thf(zip_derived_cl223,plain,
~ ( q @ sk__5 ),
inference('sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl199]) ).
thf(zip_derived_cl149_015,plain,
rel_k @ sk__2 @ sk__3,
inference(clc,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).
thf(zip_derived_cl15,plain,
! [X1: $i] :
( ~ ( rel_k @ sk__2 @ X1 )
| ~ ( p @ X1 )
| ( p @ sk__4 )
| ( q @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl154,plain,
( ( q @ sk__5 )
| ( p @ sk__4 )
| ~ ( p @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl15]) ).
thf(zip_derived_cl9,plain,
( ( q @ sk__3 )
| ( p @ sk__3 )
| ( p @ sk__4 )
| ( q @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl168_016,plain,
~ ( q @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl149]) ).
thf(zip_derived_cl173,plain,
( ( p @ sk__3 )
| ( p @ sk__4 )
| ( q @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl168]) ).
thf(zip_derived_cl179,plain,
( ( p @ sk__4 )
| ( q @ sk__5 ) ),
inference(clc,[status(thm)],[zip_derived_cl154,zip_derived_cl173]) ).
thf(zip_derived_cl217_017,plain,
~ ( p @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl208]) ).
thf(zip_derived_cl219,plain,
q @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl217]) ).
thf(zip_derived_cl226,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO409^1 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Kvmlax2P6F true
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 18:15:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.51/0.63 % Total configuration time : 828
% 0.51/0.63 % Estimated wc time : 1656
% 0.51/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/0.80 % Solved by lams/40_c.s.sh.
% 0.53/0.80 % done 65 iterations in 0.082s
% 0.53/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.80 % SZS output start Refutation
% See solution above
% 0.53/0.80
% 0.53/0.80
% 0.53/0.80 % Terminating...
% 1.68/0.83 % Runner terminated.
% 1.68/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------