TSTP Solution File: GEG003^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEG003^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.goWkBoGUFq true
% Computer : n015.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 : Wed Aug 30 22:42:13 EDT 2023
% Result : Theorem 81.40s 11.12s
% Output : Refutation 81.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 61
% Syntax : Number of formulae : 101 ( 42 unt; 24 typ; 0 def)
% Number of atoms : 372 ( 39 equ; 40 cnn)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 815 ( 92 ~; 48 |; 61 &; 528 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 99 ( 99 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 23 usr; 10 con; 0-3 aty)
% ( 43 !!; 7 ??; 0 @@+; 0 @@-)
% Number of variables : 217 ( 136 ^; 65 !; 16 ?; 217 :)
% Comments :
%------------------------------------------------------------------------------
thf(reg_type,type,
reg: $tType ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(paris_type,type,
paris: reg ).
thf(ntpp_type,type,
ntpp: reg > reg > $o ).
thf(a_type,type,
a: $i > $i > $o ).
thf(pp_type,type,
pp: reg > reg > $o ).
thf(fool_type,type,
fool: $i > $i > $o ).
thf(france_type,type,
france: reg ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(ec_type,type,
ec: reg > reg > $o ).
thf(o_type,type,
o: reg > reg > $o ).
thf(c_type,type,
c: reg > reg > $o ).
thf(dc_type,type,
dc: reg > reg > $o ).
thf('#sk131_type',type,
'#sk131': $i > ( $i > $o ) > $i ).
thf(p_type,type,
p: reg > reg > $o ).
thf(catalunya_type,type,
catalunya: reg ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(spain_type,type,
spain: reg ).
thf(tpp_type,type,
tpp: reg > reg > $o ).
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(dc,axiom,
( dc
= ( ^ [X: reg,Y: reg] :
~ ( c @ X @ Y ) ) ) ).
thf('0',plain,
( dc
= ( ^ [X: reg,Y: reg] :
~ ( c @ X @ Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[dc]) ).
thf('1',plain,
( dc
= ( ^ [V_1: reg,V_2: reg] :
~ ( c @ V_1 @ V_2 ) ) ),
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(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('4',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('5',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(con,conjecture,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] :
( ( dc @ catalunya @ paris )
& ( dc @ spain @ paris ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ~ ( a @ X4 @ X6 )
| ( ~ ( c @ spain @ paris )
& ~ ( c @ catalunya @ paris ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ~ ( a @ X4 @ X6 )
| ( ~ ( c @ spain @ paris )
& ~ ( c @ catalunya @ paris ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a @ Y0 @ Y1 ) )
| ( ( (~) @ ( c @ spain @ paris ) )
& ( (~) @ ( c @ catalunya @ paris ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a @ '#sk1' @ Y0 ) )
| ( ( (~) @ ( c @ spain @ paris ) )
& ( (~) @ ( c @ catalunya @ paris ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
~ ( ( (~) @ ( a @ '#sk1' @ '#sk2' ) )
| ( ( (~) @ ( c @ spain @ paris ) )
& ( (~) @ ( c @ catalunya @ paris ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
~ ( ( (~) @ ( c @ spain @ paris ) )
& ( (~) @ ( c @ catalunya @ paris ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl13,plain,
( ( c @ spain @ paris )
| ( c @ catalunya @ paris ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(c_symmetric,axiom,
! [X: reg,Y: reg] :
( ( c @ X @ Y )
=> ( c @ Y @ X ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: reg] :
( !!
@ ^ [Y1: reg] :
( ( c @ Y0 @ Y1 )
=> ( c @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[c_symmetric]) ).
thf(zip_derived_cl37,plain,
! [X2: reg] :
( !!
@ ^ [Y0: reg] :
( ( c @ X2 @ Y0 )
=> ( c @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl38,plain,
! [X2: reg,X4: reg] :
( ( c @ X2 @ X4 )
=> ( c @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
! [X2: reg,X4: reg] :
( ~ ( c @ X2 @ X4 )
| ( c @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl40,plain,
( ( c @ spain @ paris )
| ( c @ paris @ catalunya ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl39]) ).
thf(zip_derived_cl1_001,plain,
( !!
@ ^ [Y0: reg] :
( !!
@ ^ [Y1: reg] :
( ( c @ Y0 @ Y1 )
=> ( c @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[c_symmetric]) ).
thf(tpp,axiom,
( tpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ? [Z: reg] :
( ( ec @ Z @ Y )
& ( ec @ Z @ X ) ) ) ) ) ).
thf(ec,axiom,
( ec
= ( ^ [X: reg,Y: reg] :
( ( c @ X @ Y )
& ~ ( o @ X @ Y ) ) ) ) ).
thf(o,axiom,
( o
= ( ^ [X: reg,Y: reg] :
? [Z: reg] :
( ( p @ Z @ Y )
& ( p @ Z @ X ) ) ) ) ).
thf(p,axiom,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ) ).
thf('6',plain,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[p]) ).
thf('7',plain,
( p
= ( ^ [V_1: reg,V_2: reg] :
! [X4: reg] :
( ( c @ X4 @ V_1 )
=> ( c @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('8',plain,
( o
= ( ^ [X: reg,Y: reg] :
? [Z: reg] :
( ( p @ Z @ Y )
& ( p @ Z @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[o,'7']) ).
thf('9',plain,
( o
= ( ^ [V_1: reg,V_2: reg] :
? [X4: reg] :
( ( p @ X4 @ V_2 )
& ( p @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('10',plain,
( ec
= ( ^ [X: reg,Y: reg] :
( ( c @ X @ Y )
& ~ ( o @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ec,'9','7']) ).
thf('11',plain,
( ec
= ( ^ [V_1: reg,V_2: reg] :
( ( c @ V_1 @ V_2 )
& ~ ( o @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('12',plain,
( tpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ? [Z: reg] :
( ( ec @ Z @ Y )
& ( ec @ Z @ X ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[tpp,'11','9','7']) ).
thf('13',plain,
( tpp
= ( ^ [V_1: reg,V_2: reg] :
( ( pp @ V_1 @ V_2 )
& ? [X4: reg] :
( ( ec @ X4 @ V_2 )
& ( ec @ X4 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(pp,axiom,
( pp
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ) ).
thf('14',plain,
( pp
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ~ ( p @ Y @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[pp,'7']) ).
thf('15',plain,
( pp
= ( ^ [V_1: reg,V_2: reg] :
( ( p @ V_1 @ V_2 )
& ~ ( p @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(ax1,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( tpp @ catalunya @ spain ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i] :
( ~ ( a @ X4 @ X6 )
| ( ? [X12: reg] :
( ~ ? [X20: reg] :
( ! [X24: reg] :
( ( c @ X24 @ X20 )
=> ( c @ X24 @ X12 ) )
& ! [X22: reg] :
( ( c @ X22 @ X20 )
=> ( c @ X22 @ catalunya ) ) )
& ( c @ X12 @ catalunya )
& ~ ? [X14: reg] :
( ! [X18: reg] :
( ( c @ X18 @ X14 )
=> ( c @ X18 @ X12 ) )
& ! [X16: reg] :
( ( c @ X16 @ X14 )
=> ( c @ X16 @ spain ) ) )
& ( c @ X12 @ spain ) )
& ~ ! [X10: reg] :
( ( c @ X10 @ spain )
=> ( c @ X10 @ catalunya ) )
& ! [X8: reg] :
( ( c @ X8 @ catalunya )
=> ( c @ X8 @ spain ) ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a @ Y0 @ Y1 ) )
| ( ( ??
@ ^ [Y2: reg] :
( ( (~)
@ ( ??
@ ^ [Y3: reg] :
( ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) )
& ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ catalunya ) ) ) ) ) )
& ( c @ Y2 @ catalunya )
& ( (~)
@ ( ??
@ ^ [Y3: reg] :
( ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) )
& ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ spain ) ) ) ) ) )
& ( c @ Y2 @ spain ) ) )
& ( (~)
@ ( !!
@ ^ [Y2: reg] :
( ( c @ Y2 @ spain )
=> ( c @ Y2 @ catalunya ) ) ) )
& ( !!
@ ^ [Y2: reg] :
( ( c @ Y2 @ catalunya )
=> ( c @ Y2 @ spain ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl6_002,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a @ Y0 @ Y1 ) )
| ( ( (~) @ ( c @ spain @ paris ) )
& ( (~) @ ( c @ catalunya @ paris ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(ntpp,axiom,
( ntpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ~ ? [Z: reg] :
( ( ec @ Z @ Y )
& ( ec @ Z @ X ) ) ) ) ) ).
thf('16',plain,
( ntpp
= ( ^ [X: reg,Y: reg] :
( ( pp @ X @ Y )
& ~ ? [Z: reg] :
( ( ec @ Z @ Y )
& ( ec @ Z @ X ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ntpp,'11','9','7']) ).
thf('17',plain,
( ntpp
= ( ^ [V_1: reg,V_2: reg] :
( ( pp @ V_1 @ V_2 )
& ~ ? [X4: reg] :
( ( ec @ X4 @ V_2 )
& ( ec @ X4 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(ax3,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( ntpp @ paris @ france ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: $i] :
( ~ ( a @ X4 @ X6 )
| ( ~ ? [X12: reg] :
( ~ ? [X20: reg] :
( ! [X24: reg] :
( ( c @ X24 @ X20 )
=> ( c @ X24 @ X12 ) )
& ! [X22: reg] :
( ( c @ X22 @ X20 )
=> ( c @ X22 @ paris ) ) )
& ( c @ X12 @ paris )
& ~ ? [X14: reg] :
( ! [X18: reg] :
( ( c @ X18 @ X14 )
=> ( c @ X18 @ X12 ) )
& ! [X16: reg] :
( ( c @ X16 @ X14 )
=> ( c @ X16 @ france ) ) )
& ( c @ X12 @ france ) )
& ~ ! [X10: reg] :
( ( c @ X10 @ france )
=> ( c @ X10 @ paris ) )
& ! [X8: reg] :
( ( c @ X8 @ paris )
=> ( c @ X8 @ france ) ) ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a @ Y0 @ Y1 ) )
| ( ( (~)
@ ( ??
@ ^ [Y2: reg] :
( ( (~)
@ ( ??
@ ^ [Y3: reg] :
( ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) )
& ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ paris ) ) ) ) ) )
& ( c @ Y2 @ paris )
& ( (~)
@ ( ??
@ ^ [Y3: reg] :
( ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) )
& ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ france ) ) ) ) ) )
& ( c @ Y2 @ france ) ) ) )
& ( (~)
@ ( !!
@ ^ [Y2: reg] :
( ( c @ Y2 @ france )
=> ( c @ Y2 @ paris ) ) ) )
& ( !!
@ ^ [Y2: reg] :
( ( c @ Y2 @ paris )
=> ( c @ Y2 @ france ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl11,plain,
a @ '#sk1' @ '#sk2',
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
thf('18',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('19',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('20',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('21',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('22',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('23',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('24',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'21','23']) ).
thf('25',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(i_axiom_for_fool_a,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ a @ Phi ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [X4: $i,X6: $i > $o] :
( ! [X10: $i] :
( ~ ( a @ X4 @ X10 )
| ( X6 @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( fool @ X4 @ X8 )
| ( X6 @ X8 ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( a @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( fool @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl56,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a @ X2 @ Y1 ) )
| ( Y0 @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( fool @ X2 @ Y1 ) )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl57,plain,
! [X2: $i,X4: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( fool @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl58,plain,
! [X2: $i,X4: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( fool @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl59,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( (~) @ ( a @ X2 @ X6 ) )
| ( X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( fool @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl60,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( a @ X2 @ X6 )
| ( X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( fool @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl61,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( ( (~) @ ( fool @ X2 @ ( '#sk131' @ X2 @ X4 ) ) )
| ( X4 @ ( '#sk131' @ X2 @ X4 ) ) )
| ( X4 @ X6 )
| ~ ( a @ X2 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl62,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( fool @ X2 @ ( '#sk131' @ X2 @ X4 ) )
| ~ ( a @ X2 @ X6 )
| ( X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl64,plain,
! [X0: $i > $o] :
( ( X0 @ '#sk2' )
| ( fool @ '#sk1' @ ( '#sk131' @ '#sk1' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl62]) ).
thf(ax2,axiom,
( mvalid
@ ( mbox @ fool
@ ^ [X: $i] : ( ec @ spain @ france ) ) ) ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: $i] :
( ~ ( fool @ X4 @ X6 )
| ( ~ ? [X8: reg] :
( ! [X12: reg] :
( ( c @ X12 @ X8 )
=> ( c @ X12 @ spain ) )
& ! [X10: reg] :
( ( c @ X10 @ X8 )
=> ( c @ X10 @ france ) ) )
& ( c @ spain @ france ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( fool @ Y0 @ Y1 ) )
| ( ( (~)
@ ( ??
@ ^ [Y2: reg] :
( ( !!
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ spain ) ) )
& ( !!
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ france ) ) ) ) ) )
& ( c @ spain @ france ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl3800,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl40,zip_derived_cl1,zip_derived_cl3,zip_derived_cl6,zip_derived_cl5,zip_derived_cl64,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEG003^1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.goWkBoGUFq true
% 0.14/0.35 % Computer : n015.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 : Mon Aug 28 01:15:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.43/0.89 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 81.40/11.12 % Solved by lams/15_e_short1.sh.
% 81.40/11.12 % done 64 iterations in 10.329s
% 81.40/11.12 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 81.40/11.12 % SZS output start Refutation
% See solution above
% 81.40/11.13
% 81.40/11.13
% 81.40/11.13 % Terminating...
% 81.40/11.22 % Runner terminated.
% 81.40/11.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------