TSTP Solution File: SWV085^7 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV085^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MwLxCivtfM true
% Computer : n032.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 00:07:35 EDT 2023
% Result : Theorem 0.15s 0.68s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 66 ( 22 unt; 18 typ; 0 def)
% Number of atoms : 239 ( 18 equ; 46 cnn)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 622 ( 98 ~; 76 |; 0 &; 424 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 17 usr; 11 con; 0-3 aty)
% ( 24 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 83 ( 60 ^; 23 !; 0 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(n0_type,type,
n0: mu ).
thf(n1_type,type,
n1: mu ).
thf(rel_s4_type,type,
rel_s4: $i > $i > $o ).
thf(minus_type,type,
minus: mu > mu > mu ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(n5_type,type,
n5: mu ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(pv68_type,type,
pv68: mu ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(leq_type,type,
leq: mu > mu > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('1',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_s4 @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('2',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('3',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('4',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('5',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('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'5','7']) ).
thf('9',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('10',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'5','7']) ).
thf('11',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(cl5_nebula_array_0026,conjecture,
mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ~ ( ~ ! [X14: $i] :
( ~ ( rel_s4 @ X6 @ X14 )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ X14 ) )
| ~ ! [X12: $i] :
( ~ ( rel_s4 @ X6 @ X12 )
| ( leq @ n0 @ pv68 @ X12 ) ) )
| ~ ! [X8: $i] :
( ~ ( rel_s4 @ X6 @ X8 )
| ( leq @ n0 @ pv68 @ X8 ) )
| ~ ! [X10: $i] :
( ~ ( rel_s4 @ X6 @ X10 )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ~ ( ~ ! [X14: $i] :
( ~ ( rel_s4 @ X6 @ X14 )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ X14 ) )
| ~ ! [X12: $i] :
( ~ ( rel_s4 @ X6 @ X12 )
| ( leq @ n0 @ pv68 @ X12 ) ) )
| ~ ! [X8: $i] :
( ~ ( rel_s4 @ X6 @ X8 )
| ( leq @ n0 @ pv68 @ X8 ) )
| ~ ! [X10: $i] :
( ~ ( rel_s4 @ X6 @ X10 )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ n0 @ pv68 @ Y2 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ n0 @ pv68 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ n0 @ pv68 @ Y1 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ n0 @ pv68 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( (~) @ ( rel_s4 @ '#sk1' @ '#sk2' ) )
| ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv68 @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv68 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv68 @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( leq @ n0 @ pv68 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( leq @ n0 @ pv68 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl4,plain,
( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv68 @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv68 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk3' ) )
| ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ '#sk3' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv68 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
( ~ ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv68 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk4' ) )
| ( leq @ n0 @ pv68 @ '#sk4' ) )
| ~ ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
( ~ ( leq @ n0 @ pv68 @ '#sk4' )
| ~ ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ '#sk3' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
( ~ ( rel_s4 @ '#sk2' @ '#sk4' )
| ~ ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl20]) ).
thf(zip_derived_cl19,plain,
( ( rel_s4 @ '#sk2' @ '#sk4' )
| ~ ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ '#sk3' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
~ ( leq @ pv68 @ ( minus @ n5 @ n1 ) @ '#sk3' ),
inference(clc,[status(thm)],[zip_derived_cl21,zip_derived_cl19]) ).
thf(zip_derived_cl28,plain,
~ ( rel_s4 @ '#sk2' @ '#sk3' ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl27]) ).
thf(zip_derived_cl13,plain,
( ( rel_s4 @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv68 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl15,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk4' ) )
| ( leq @ n0 @ pv68 @ '#sk4' ) )
| ( rel_s4 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
( ( rel_s4 @ '#sk2' @ '#sk4' )
| ( rel_s4 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl11_001,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( leq @ n0 @ pv68 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl18,plain,
( ~ ( leq @ n0 @ pv68 @ '#sk4' )
| ( rel_s4 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl22,plain,
( ~ ( rel_s4 @ '#sk2' @ '#sk4' )
| ( rel_s4 @ '#sk2' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl18]) ).
thf(zip_derived_cl30,plain,
rel_s4 @ '#sk2' @ '#sk3',
inference(clc,[status(thm)],[zip_derived_cl17,zip_derived_cl22]) ).
thf(zip_derived_cl31,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV085^7 : TPTP v8.1.2. Released v5.5.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MwLxCivtfM true
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Aug 29 10:09:16 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % Running portfolio for 300 s
% 0.11/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.30 % Number of cores: 8
% 0.11/0.30 % Python version: Python 3.6.8
% 0.11/0.30 % Running in HO mode
% 0.15/0.52 % Total configuration time : 828
% 0.15/0.52 % Estimated wc time : 1656
% 0.15/0.52 % Estimated cpu time (8 cpus) : 207.0
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.15/0.61 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.15/0.61 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.15/0.61 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.15/0.61 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.15/0.61 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.15/0.68 % Solved by lams/20_acsne_simpl.sh.
% 0.15/0.68 % done 12 iterations in 0.031s
% 0.15/0.68 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.15/0.68 % SZS output start Refutation
% See solution above
% 0.15/0.68
% 0.15/0.68
% 0.15/0.68 % Terminating...
% 1.90/0.79 % Runner terminated.
% 1.90/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------