TSTP Solution File: SYO393^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO393^1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nzWJBtwaVC 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 : Fri Sep 1 05:50:59 EDT 2023
% Result : Theorem 0.58s 0.83s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 64 ( 28 unt; 13 typ; 0 def)
% Number of atoms : 231 ( 21 equ; 46 cnn)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 421 ( 95 ~; 61 |; 0 &; 250 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 13 usr; 6 con; 0-3 aty)
% ( 15 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 73 ( 54 ^; 19 !; 0 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(q_type,type,
q: $i > $o ).
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('#sk3_type',type,
'#sk3': $i ).
thf(p_type,type,
p: $i > $o ).
thf(mdia_k_type,type,
mdia_k: ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(mbox_k_type,type,
mbox_k: ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
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(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 @ ( mnot @ ( mdia_k @ ( mor @ p @ q ) ) ) @ ( mand @ ( mnot @ ( mdia_k @ p ) ) @ ( mnot @ ( mdia_k @ q ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ( ~ ! [X10: $i] :
( ~ ( rel_k @ X4 @ X10 )
| ~ ( q @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( rel_k @ X4 @ X8 )
| ~ ( p @ X8 ) ) )
| ~ ! [X6: $i] :
( ~ ( rel_k @ X4 @ X6 )
| ~ ( ( q @ X6 )
| ( p @ X6 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ( ~ ! [X10: $i] :
( ~ ( rel_k @ X4 @ X10 )
| ~ ( q @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( rel_k @ X4 @ X8 )
| ~ ( p @ X8 ) ) )
| ~ ! [X6: $i] :
( ~ ( rel_k @ X4 @ X6 )
| ~ ( ( q @ X6 )
| ( p @ X6 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_k @ Y0 @ Y1 ) )
| ( (~) @ ( q @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_k @ Y0 @ Y1 ) )
| ( (~) @ ( p @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_k @ Y0 @ Y1 ) )
| ( (~)
@ ( ( q @ Y1 )
| ( p @ Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~) @ ( q @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~) @ ( p @ Y0 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~)
@ ( ( q @ Y0 )
| ( p @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~) @ ( q @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~) @ ( p @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~) @ ( q @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~) @ ( p @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ~ ( ( (~) @ ( rel_k @ '#sk1' @ '#sk2' ) )
| ( (~) @ ( q @ '#sk2' ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~) @ ( p @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
( ( q @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~) @ ( p @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
( ~ ( ( (~) @ ( rel_k @ '#sk1' @ '#sk3' ) )
| ( (~) @ ( p @ '#sk3' ) ) )
| ( q @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
( ( rel_k @ '#sk1' @ '#sk3' )
| ( q @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
( ( p @ '#sk3' )
| ( q @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~)
@ ( ( q @ Y0 )
| ( p @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ X2 ) )
| ( (~)
@ ( ( q @ X2 )
| ( p @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( ~ ( rel_k @ '#sk1' @ X2 )
| ~ ( ( q @ X2 )
| ( p @ X2 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ~ ( q @ X2 )
| ~ ( rel_k @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl18,plain,
( ( p @ '#sk3' )
| ~ ( rel_k @ '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl10]) ).
thf(zip_derived_cl8,plain,
( ( rel_k @ '#sk1' @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( (~) @ ( p @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
( ~ ( ( (~) @ ( rel_k @ '#sk1' @ '#sk3' ) )
| ( (~) @ ( p @ '#sk3' ) ) )
| ( rel_k @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
( ( p @ '#sk3' )
| ( rel_k @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl30,plain,
p @ '#sk3',
inference(clc,[status(thm)],[zip_derived_cl18,zip_derived_cl15]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ~ ( p @ X2 )
| ~ ( rel_k @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl31,plain,
~ ( rel_k @ '#sk1' @ '#sk3' ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl11]) ).
thf(zip_derived_cl35,plain,
q @ '#sk2',
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl31]) ).
thf(zip_derived_cl10_001,plain,
! [X2: $i] :
( ~ ( q @ X2 )
| ~ ( rel_k @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl36,plain,
~ ( rel_k @ '#sk1' @ '#sk2' ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
( ( rel_k @ '#sk1' @ '#sk3' )
| ( rel_k @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl31_002,plain,
~ ( rel_k @ '#sk1' @ '#sk3' ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl11]) ).
thf(zip_derived_cl40,plain,
rel_k @ '#sk1' @ '#sk2',
inference(clc,[status(thm)],[zip_derived_cl14,zip_derived_cl31]) ).
thf(zip_derived_cl41,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO393^1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nzWJBtwaVC true
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 08:14:17 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.22/0.69 % Total configuration time : 828
% 0.22/0.69 % Estimated wc time : 1656
% 0.22/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.83 % Solved by lams/35_full_unif4.sh.
% 0.58/0.83 % done 12 iterations in 0.026s
% 0.58/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.83 % SZS output start Refutation
% See solution above
% 0.58/0.83
% 0.58/0.83
% 0.58/0.83 % Terminating...
% 0.63/0.89 % Runner terminated.
% 0.63/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------