TSTP Solution File: SYO404^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO404^1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Danq0waxpK 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 05:51:01 EDT 2023
% Result : Theorem 0.22s 0.81s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 41
% Syntax : Number of formulae : 110 ( 32 unt; 16 typ; 0 def)
% Number of atoms : 656 ( 21 equ; 149 cnn)
% Maximal formula atoms : 40 ( 6 avg)
% Number of connectives : 1354 ( 276 ~; 283 |; 0 &; 723 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 16 usr; 10 con; 0-3 aty)
% ( 72 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 155 ( 114 ^; 41 !; 0 ?; 155 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i ).
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('#sk4_type',type,
'#sk4': $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#form3_type',type,
'#form3': $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(p_type,type,
p: $i > $o ).
thf('#form5_type',type,
'#form5': $o ).
thf(mbox_k_type,type,
mbox_k: ( $i > $o ) > $i > $o ).
thf(mequiv_type,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk6_type',type,
'#sk6': $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
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(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(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('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('12',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv,'9','11','5','7']) ).
thf('13',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 @ ( mand @ ( mbox_k @ ( mimplies @ q @ p ) ) @ ( mbox_k @ ( mimplies @ ( mnot @ q ) @ p ) ) ) @ ( mbox_k @ p ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
~ ( ~ ( ~ ( ~ ! [X16: $i] :
( ~ ( rel_k @ X4 @ X16 )
| ( p @ X16 )
| ( q @ X16 ) )
| ~ ! [X14: $i] :
( ~ ( rel_k @ X4 @ X14 )
| ( p @ X14 )
| ~ ( q @ X14 ) ) )
| ~ ! [X12: $i] :
( ~ ( rel_k @ X4 @ X12 )
| ( p @ X12 ) ) )
| ~ ( ! [X10: $i] :
( ~ ( rel_k @ X4 @ X10 )
| ( p @ X10 ) )
| ~ ! [X6: $i] :
( ~ ( rel_k @ X4 @ X6 )
| ( p @ X6 )
| ~ ( q @ X6 ) )
| ~ ! [X8: $i] :
( ~ ( rel_k @ X4 @ X8 )
| ( p @ X8 )
| ( q @ X8 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
~ ( ~ ( ~ ( ~ ! [X16: $i] :
( ~ ( rel_k @ X4 @ X16 )
| ( p @ X16 )
| ( q @ X16 ) )
| ~ ! [X14: $i] :
( ~ ( rel_k @ X4 @ X14 )
| ( p @ X14 )
| ~ ( q @ X14 ) ) )
| ~ ! [X12: $i] :
( ~ ( rel_k @ X4 @ X12 )
| ( p @ X12 ) ) )
| ~ ( ! [X10: $i] :
( ~ ( rel_k @ X4 @ X10 )
| ( p @ X10 ) )
| ~ ! [X6: $i] :
( ~ ( rel_k @ X4 @ X6 )
| ( p @ X6 )
| ~ ( q @ X6 ) )
| ~ ! [X8: $i] :
( ~ ( rel_k @ X4 @ X8 )
| ( p @ X8 )
| ( q @ X8 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( (~)
@ ( ( (~)
@ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_k @ Y0 @ Y1 ) )
| ( p @ Y1 )
| ( q @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_k @ Y0 @ Y1 ) )
| ( p @ Y1 )
| ( (~) @ ( q @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_k @ Y0 @ Y1 ) )
| ( p @ Y1 ) ) ) ) ) )
| ( (~)
@ ( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_k @ Y0 @ Y1 ) )
| ( p @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_k @ Y0 @ Y1 ) )
| ( p @ Y1 )
| ( (~) @ ( q @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_k @ Y0 @ Y1 ) )
| ( p @ Y1 )
| ( q @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( ( (~)
@ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ) ) )
| ( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ~ ( ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( (~) @ $true )
| ( (~) @ $true ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
( ~ ( ( (~) @ ( rel_k @ '#sk1' @ '#sk2' ) )
| ( p @ '#sk2' )
| ( q @ '#sk2' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
( ~ ( p @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
( ( rel_k @ '#sk1' @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl18,plain,
( '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl21,plain,
( ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ~ ( p @ '#sk2' ) ),
inference(renaming,[status(thm)],[zip_derived_cl14,zip_derived_cl18]) ).
thf(zip_derived_cl13_001,plain,
( ( rel_k @ '#sk1' @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl18_002,plain,
( '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl20,plain,
( ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( rel_k @ '#sk1' @ '#sk2' ) ),
inference(renaming,[status(thm)],[zip_derived_cl13,zip_derived_cl18]) ).
thf(zip_derived_cl27,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl33,plain,
( ~ '#form5'
| ~ ( p @ '#sk2' )
| ~ '#form3' ),
inference(renaming,[status(thm)],[zip_derived_cl21,zip_derived_cl27]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ~ ( $false
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ X2 ) )
| ( p @ X2 )
| ~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ~ ( rel_k @ '#sk1' @ X2 )
| ( p @ X2 )
| ~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) )
| ( p @ X2 )
| ~ ( rel_k @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17_003,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) )
| ( p @ X2 )
| ~ ( rel_k @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl24,plain,
( ~ '#form3'
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl18_004,plain,
( '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl26,plain,
! [X2: $i] :
( '#form3'
| ~ ( rel_k @ '#sk1' @ X2 )
| ( p @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl17,zip_derived_cl24,zip_derived_cl18]) ).
thf(zip_derived_cl18_005,plain,
( '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl19,plain,
( ~ ( ( (~) @ ( rel_k @ '#sk1' @ '#sk4' ) )
| ( p @ '#sk4' )
| ( (~) @ ( q @ '#sk4' ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl31,plain,
( ~ ( p @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl40,plain,
( ~ ( rel_k @ '#sk1' @ '#sk4' )
| '#form3'
| '#form3' ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl31]) ).
thf(zip_derived_cl43,plain,
( '#form3'
| ~ ( rel_k @ '#sk1' @ '#sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl30,plain,
( ( rel_k @ '#sk1' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl55,plain,
'#form3',
inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl30]) ).
thf(zip_derived_cl56,plain,
( ~ '#form5'
| ~ ( p @ '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl55]) ).
thf(zip_derived_cl27_006,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl28,plain,
( ~ ( ( (~) @ ( rel_k @ '#sk1' @ '#sk6' ) )
| ( p @ '#sk6' ) )
| '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl38,plain,
( ~ ( p @ '#sk6' )
| '#form5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl37,plain,
( ( rel_k @ '#sk1' @ '#sk6' )
| '#form5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( q @ Y0 ) ) )
| ( p @ X2 )
| ~ ( rel_k @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ X4 ) )
| ( p @ X4 )
| ( q @ X4 )
| ~ ( rel_k @ '#sk1' @ X2 )
| ( p @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl35,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_k @ '#sk1' @ X4 )
| ( p @ X4 )
| ( q @ X4 )
| ( p @ X2 )
| ~ ( rel_k @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl24_007,plain,
( ~ '#form3'
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 )
| ( (~) @ ( q @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl25,plain,
! [X2: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ X2 ) )
| ( p @ X2 )
| ( (~) @ ( q @ X2 ) )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl36,plain,
! [X2: $i] :
( ~ ( rel_k @ '#sk1' @ X2 )
| ( p @ X2 )
| ~ ( q @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl55_008,plain,
'#form3',
inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl30]) ).
thf(zip_derived_cl62,plain,
! [X2: $i] :
( ~ ( rel_k @ '#sk1' @ X2 )
| ( p @ X2 )
| ~ ( q @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl55]) ).
thf(zip_derived_cl63,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_k @ '#sk1' @ X2 )
| ( p @ X2 )
| ( p @ X4 )
| ~ ( rel_k @ '#sk1' @ X4 ) ),
inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl62]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( '#form5'
| ~ ( rel_k @ '#sk1' @ X0 )
| ( p @ X0 )
| ( p @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl63]) ).
thf(zip_derived_cl38_009,plain,
( ~ ( p @ '#sk6' )
| '#form5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( p @ X0 )
| ~ ( rel_k @ '#sk1' @ X0 )
| '#form5' ),
inference(clc,[status(thm)],[zip_derived_cl64,zip_derived_cl38]) ).
thf(zip_derived_cl71,plain,
( '#form5'
| '#form5'
| ~ ( rel_k @ '#sk1' @ '#sk6' ) ),
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl68]) ).
thf(zip_derived_cl77,plain,
( ~ ( rel_k @ '#sk1' @ '#sk6' )
| '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl37_010,plain,
( ( rel_k @ '#sk1' @ '#sk6' )
| '#form5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl81,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl37]) ).
thf(zip_derived_cl82,plain,
~ ( p @ '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl81]) ).
thf(zip_derived_cl20_011,plain,
( ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) )
| ( rel_k @ '#sk1' @ '#sk2' ) ),
inference(renaming,[status(thm)],[zip_derived_cl13,zip_derived_cl18]) ).
thf(zip_derived_cl27_012,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_k @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl29,plain,
( ~ '#form5'
| ( rel_k @ '#sk1' @ '#sk2' )
| ~ '#form3' ),
inference(renaming,[status(thm)],[zip_derived_cl20,zip_derived_cl27]) ).
thf(zip_derived_cl55_013,plain,
'#form3',
inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl30]) ).
thf(zip_derived_cl59,plain,
( ~ '#form5'
| ( rel_k @ '#sk1' @ '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl55]) ).
thf(zip_derived_cl81_014,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl37]) ).
thf(zip_derived_cl84,plain,
rel_k @ '#sk1' @ '#sk2',
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl81]) ).
thf(zip_derived_cl63_015,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_k @ '#sk1' @ X2 )
| ( p @ X2 )
| ( p @ X4 )
| ~ ( rel_k @ '#sk1' @ X4 ) ),
inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl62]) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ~ ( rel_k @ '#sk1' @ X0 )
| ( p @ X0 )
| ( p @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl63]) ).
thf(zip_derived_cl82_016,plain,
~ ( p @ '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl81]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ( p @ X0 )
| ~ ( rel_k @ '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl85,zip_derived_cl82]) ).
thf(zip_derived_cl92,plain,
~ ( rel_k @ '#sk1' @ '#sk2' ),
inference('sup+',[status(thm)],[zip_derived_cl82,zip_derived_cl90]) ).
thf(zip_derived_cl84_017,plain,
rel_k @ '#sk1' @ '#sk2',
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl81]) ).
thf(zip_derived_cl95,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYO404^1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Danq0waxpK 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 06:53:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.81 % Solved by lams/35_full_unif4.sh.
% 0.22/0.81 % done 25 iterations in 0.036s
% 0.22/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.81 % SZS output start Refutation
% See solution above
% 0.22/0.81
% 0.22/0.81
% 0.22/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.03/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.03/0.82 % Terminating...
% 1.69/0.89 % Runner terminated.
% 1.69/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------