TSTP Solution File: LCL874^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL874^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YlgkMc058Y true
% Computer : n020.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 Aug 31 09:02:29 EDT 2023
% Result : Theorem 28.43s 4.25s
% Output : Refutation 28.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 52
% Syntax : Number of formulae : 101 ( 39 unt; 14 typ; 0 def)
% Number of atoms : 270 ( 30 equ; 22 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 644 ( 61 ~; 61 |; 22 &; 434 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 129 ( 129 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 14 usr; 4 con; 0-3 aty)
% ( 43 !!; 3 ??; 0 @@+; 0 @@-)
% Number of variables : 225 ( 100 ^; 121 !; 4 ?; 225 :)
% Comments :
%------------------------------------------------------------------------------
thf(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk68_type',type,
'#sk68': $i > $i ).
thf(rk_type,type,
rk: $i > $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(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(rb_type,type,
rb: $i > $i > $o ).
thf(mserial_type,type,
mserial: ( $i > $i > $o ) > $o ).
thf('#sk959_type',type,
'#sk959': $i > ( $i > $o ) > $i ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mforall_prop_type,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_2 @ X4 )
| ~ ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
thf('4',plain,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_prop]) ).
thf('5',plain,
( mforall_prop
= ( ^ [V_1: ( $i > $o ) > $i > $o,V_2: $i] :
! [X4: $i > $o] : ( V_1 @ X4 @ V_2 ) ) ),
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('6',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',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('8',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'7','9']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(ax8,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ rb @ A ) @ ( mbox @ rb @ ( mbox @ rk @ A ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: $i,X6: $i > $o] :
( ! [X10: $i] :
( ~ ( rb @ X4 @ X10 )
| ! [X12: $i] :
( ~ ( rk @ X10 @ X12 )
| ( X6 @ X12 ) ) )
| ~ ! [X8: $i] :
( ~ ( rb @ X4 @ X8 )
| ( X6 @ X8 ) ) ) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rb @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rk @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rb @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mserial,axiom,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ) ).
thf('12',plain,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
inference(simplify_rw_rule,[status(thm)],[mserial]) ).
thf('13',plain,
( mserial
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] :
? [X6: $i] : ( V_1 @ X4 @ X6 ) ) ),
define([status(thm)]) ).
thf(ax2,axiom,
mserial @ rb ).
thf(zf_stmt_1,axiom,
! [X4: $i] :
? [X6: $i] : ( rb @ X4 @ X6 ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( rb @ Y0 @ Y1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl41,plain,
! [X2: $i] :
( ??
@ ^ [Y0: $i] : ( rb @ X2 @ Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl42,plain,
! [X2: $i] : ( rb @ X2 @ ( '#sk68' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).
thf(meuclidean,axiom,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ) ).
thf('14',plain,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[meuclidean]) ).
thf('15',plain,
( meuclidean
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X4 @ X8 ) )
=> ( V_1 @ X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(ax6,axiom,
meuclidean @ rb ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( ( rb @ X4 @ X8 )
& ( rb @ X4 @ X6 ) )
=> ( rb @ X6 @ X8 ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( rb @ Y0 @ Y2 )
& ( rb @ Y0 @ Y1 ) )
=> ( rb @ Y1 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl174,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( rb @ X2 @ Y1 )
& ( rb @ X2 @ Y0 ) )
=> ( rb @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl175,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( rb @ X2 @ Y0 )
& ( rb @ X2 @ X4 ) )
=> ( rb @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl176,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( rb @ X2 @ X6 )
& ( rb @ X2 @ X4 ) )
=> ( rb @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl177,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( rb @ X2 @ X6 )
& ( rb @ X2 @ X4 ) )
| ( rb @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl176]) ).
thf(zip_derived_cl178,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( rb @ X2 @ X6 )
| ~ ( rb @ X2 @ X4 )
| ( rb @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl181,plain,
! [X0: $i,X1: $i] :
( ( rb @ X1 @ ( '#sk68' @ X0 ) )
| ~ ( rb @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl178]) ).
thf(zip_derived_cl1_001,plain,
( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( rb @ Y0 @ Y1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ) ).
thf('16',plain,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mtransitive]) ).
thf('17',plain,
( mtransitive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(ax4,axiom,
mtransitive @ rb ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( ( rb @ X6 @ X8 )
& ( rb @ X4 @ X6 ) )
=> ( rb @ X4 @ X8 ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( rb @ Y1 @ Y2 )
& ( rb @ Y0 @ Y1 ) )
=> ( rb @ Y0 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl42_002,plain,
! [X2: $i] : ( rb @ X2 @ ( '#sk68' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).
thf(ax7,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ rk @ A ) @ ( mbox @ rb @ A ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [X4: $i,X6: $i > $o] :
( ! [X10: $i] :
( ~ ( rb @ X4 @ X10 )
| ( X6 @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( rk @ X4 @ X8 )
| ( X6 @ X8 ) ) ) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rb @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rk @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl218,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rb @ X2 @ Y1 ) )
| ( Y0 @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rk @ X2 @ Y1 ) )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl219,plain,
! [X2: $i,X4: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rb @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rk @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl218]) ).
thf(zip_derived_cl220,plain,
! [X2: $i,X4: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rb @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rk @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl221,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( (~) @ ( rb @ X2 @ X6 ) )
| ( X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rk @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl222,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( rb @ X2 @ X6 )
| ( X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rk @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl221]) ).
thf(zip_derived_cl223,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( ( (~) @ ( rk @ X2 @ ( '#sk959' @ X2 @ X4 ) ) )
| ( X4 @ ( '#sk959' @ X2 @ X4 ) ) )
| ( X4 @ X6 )
| ~ ( rb @ X2 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl224,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( rk @ X2 @ ( '#sk959' @ X2 @ X4 ) )
| ~ ( rb @ X2 @ X6 )
| ( X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl228,plain,
! [X0: $i,X1: $i > $o] :
( ( X1 @ ( '#sk68' @ X0 ) )
| ( rk @ X0 @ ( '#sk959' @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl224]) ).
thf(zip_derived_cl42_003,plain,
! [X2: $i] : ( rb @ X2 @ ( '#sk68' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl225,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( X4 @ ( '#sk959' @ X2 @ X4 ) )
| ~ ( rb @ X2 @ X6 )
| ( X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl2023,plain,
! [X0: $i,X1: $i > $o] :
( ( X1 @ ( '#sk68' @ X0 ) )
| ~ ( X1 @ ( '#sk959' @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl225]) ).
thf(ax3,axiom,
mtransitive @ rk ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( ( rk @ X6 @ X8 )
& ( rk @ X4 @ X6 ) )
=> ( rk @ X4 @ X8 ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( rk @ Y1 @ Y2 )
& ( rk @ Y0 @ Y1 ) )
=> ( rk @ Y0 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(conj,conjecture,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ rb @ A ) @ ( mbox @ rk @ A ) ) ) ) ).
thf(zf_stmt_6,conjecture,
! [X4: $i,X6: $i > $o] :
( ! [X10: $i] :
( ~ ( rk @ X4 @ X10 )
| ( X6 @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( rb @ X4 @ X8 )
| ( X6 @ X8 ) ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ! [X4: $i,X6: $i > $o] :
( ! [X10: $i] :
( ~ ( rk @ X4 @ X10 )
| ( X6 @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( rb @ X4 @ X8 )
| ( X6 @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rk @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rb @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('18',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('19',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(ax1,axiom,
mreflexive @ rk ).
thf(zf_stmt_8,axiom,
! [X4: $i] : ( rk @ X4 @ X4 ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] : ( rk @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl20,plain,
! [X2: $i] : ( rk @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(ax5,axiom,
meuclidean @ rk ).
thf(zf_stmt_9,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( ( rk @ X4 @ X8 )
& ( rk @ X4 @ X6 ) )
=> ( rk @ X6 @ X8 ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( rk @ Y0 @ Y2 )
& ( rk @ Y0 @ Y1 ) )
=> ( rk @ Y1 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl117,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( rk @ X2 @ Y1 )
& ( rk @ X2 @ Y0 ) )
=> ( rk @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl118,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( rk @ X2 @ Y0 )
& ( rk @ X2 @ X4 ) )
=> ( rk @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl119,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( rk @ X2 @ X6 )
& ( rk @ X2 @ X4 ) )
=> ( rk @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl120,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( rk @ X2 @ X6 )
& ( rk @ X2 @ X4 ) )
| ( rk @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl121,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( rk @ X2 @ X6 )
| ~ ( rk @ X2 @ X4 )
| ( rk @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i] :
( ( rk @ X1 @ X0 )
| ~ ( rk @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl121]) ).
thf(zip_derived_cl4302,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl7,zip_derived_cl181,zip_derived_cl1,zip_derived_cl3,zip_derived_cl228,zip_derived_cl2023,zip_derived_cl2,zip_derived_cl8,zip_derived_cl123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL874^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YlgkMc058Y true
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 00:45:00 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.65 % Total configuration time : 828
% 0.22/0.65 % Estimated wc time : 1656
% 0.22/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.56/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 28.43/4.25 % Solved by lams/15_e_short1.sh.
% 28.43/4.25 % done 330 iterations in 3.463s
% 28.43/4.25 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 28.43/4.25 % SZS output start Refutation
% See solution above
% 28.43/4.25
% 28.43/4.25
% 28.43/4.26 % Terminating...
% 29.19/4.37 % Runner terminated.
% 29.19/4.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------