TSTP Solution File: GEG013^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEG013^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.The4p7szrS true
% Computer : n028.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 22:42:15 EDT 2023
% Result : Theorem 1.36s 0.96s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 50
% Syntax : Number of formulae : 66 ( 30 unt; 24 typ; 0 def)
% Number of atoms : 153 ( 24 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 311 ( 27 ~; 9 |; 34 &; 218 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 6 con; 0-3 aty)
% Number of variables : 122 ( 50 ^; 54 !; 18 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
thf(reg_type,type,
reg: $tType ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(a_type,type,
a: $i > $i > $o ).
thf(pp_type,type,
pp: reg > reg > $o ).
thf(eq_type,type,
eq: reg > reg > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(ec_type,type,
ec: reg > reg > $o ).
thf(o_type,type,
o: reg > reg > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: reg > reg > reg > $o ).
thf(c_type,type,
c: reg > reg > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: reg > reg > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: reg > reg > reg > $o ).
thf(p_type,type,
p: reg > reg > $o ).
thf(catalunya_type,type,
catalunya: reg ).
thf(sk__11_type,type,
sk__11: reg ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: reg > reg > $o ).
thf(spain_type,type,
spain: reg ).
thf(tpp_type,type,
tpp: reg > reg > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(eq,axiom,
( eq
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ( p @ Y @ X ) ) ) ) ).
thf(p,axiom,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ) ).
thf('0',plain,
( p
= ( ^ [X: reg,Y: reg] :
! [Z: reg] :
( ( c @ Z @ X )
=> ( c @ Z @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[p]) ).
thf('1',plain,
( p
= ( ^ [V_1: reg,V_2: reg] :
! [X4: reg] :
( ( c @ X4 @ V_1 )
=> ( c @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( eq
= ( ^ [X: reg,Y: reg] :
( ( p @ X @ Y )
& ( p @ Y @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[eq,'1']) ).
thf('3',plain,
( eq
= ( ^ [V_1: reg,V_2: reg] :
( ( p @ V_1 @ V_2 )
& ( p @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('4',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('5',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('6',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('7',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] :
? [Z: reg,Y: reg] :
~ ( eq @ Z @ Y ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ? [X8: reg,X10: reg] :
~ ( ! [X12: reg] :
( ( c @ X12 @ X8 )
=> ( c @ X12 @ X10 ) )
& ! [X14: reg] :
( ( c @ X14 @ X10 )
=> ( c @ X14 @ X8 ) ) )
| ~ ( a @ X4 @ X6 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ? [X8: reg,X10: reg] :
~ ( ! [X12: reg] :
( ( c @ X12 @ X8 )
=> ( c @ X12 @ X10 ) )
& ! [X14: reg] :
( ( c @ X14 @ X10 )
=> ( c @ X14 @ X8 ) ) )
| ~ ( a @ X4 @ X6 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
a @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
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('8',plain,
( o
= ( ^ [X: reg,Y: reg] :
? [Z: reg] :
( ( p @ Z @ Y )
& ( p @ Z @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[o,'1']) ).
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','1']) ).
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','1']) ).
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,'1']) ).
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(zf_stmt_3,type,
zip_tseitin_3: reg > reg > $o ).
thf(zf_stmt_4,axiom,
! [X16: reg,X14: reg] :
( ( ( c @ X16 @ X14 )
=> ( c @ X16 @ spain ) )
=> ( zip_tseitin_3 @ X16 @ X14 ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_2: reg > reg > reg > $o ).
thf(zf_stmt_6,axiom,
! [X18: reg,X14: reg,X12: reg] :
( ( ( c @ X18 @ X14 )
=> ( c @ X18 @ X12 ) )
=> ( zip_tseitin_2 @ X18 @ X14 @ X12 ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_1: reg > reg > $o ).
thf(zf_stmt_8,axiom,
! [X22: reg,X20: reg] :
( ( ( c @ X22 @ X20 )
=> ( c @ X22 @ catalunya ) )
=> ( zip_tseitin_1 @ X22 @ X20 ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_0: reg > reg > reg > $o ).
thf(zf_stmt_10,axiom,
! [X24: reg,X20: reg,X12: reg] :
( ( ( c @ X24 @ X20 )
=> ( c @ X24 @ X12 ) )
=> ( zip_tseitin_0 @ X24 @ X20 @ X12 ) ) ).
thf(zf_stmt_11,axiom,
! [X4: $i,X6: $i] :
( ( ! [X8: reg] :
( ( c @ X8 @ catalunya )
=> ( c @ X8 @ spain ) )
& ~ ! [X10: reg] :
( ( c @ X10 @ spain )
=> ( c @ X10 @ catalunya ) )
& ? [X12: reg] :
( ( c @ X12 @ spain )
& ~ ? [X14: reg] :
( ! [X16: reg] : ( zip_tseitin_3 @ X16 @ X14 )
& ! [X18: reg] : ( zip_tseitin_2 @ X18 @ X14 @ X12 ) )
& ( c @ X12 @ catalunya )
& ~ ? [X20: reg] :
( ! [X22: reg] : ( zip_tseitin_1 @ X22 @ X20 )
& ! [X24: reg] : ( zip_tseitin_0 @ X24 @ X20 @ X12 ) ) ) )
| ~ ( a @ X4 @ X6 ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( c @ sk__11 @ catalunya )
| ~ ( a @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(c_reflexive,axiom,
! [X: reg] : ( c @ X @ X ) ).
thf(zip_derived_cl0,plain,
! [X0: reg] : ( c @ X0 @ X0 ),
inference(cnf,[status(esa)],[c_reflexive]) ).
thf(zip_derived_cl38,plain,
! [X0: reg,X1: reg,X2: reg] :
( ( c @ X0 @ X1 )
| ~ ( c @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl73,plain,
! [X0: reg,X1: reg] : ( c @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl38]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
~ ( a @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl73]) ).
thf(zip_derived_cl84,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEG013^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.The4p7szrS true
% 0.14/0.35 % Computer : n028.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 01:15:39 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75 % /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
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.24/0.84 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.24/0.85 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.24/0.85 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.24/0.86 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.24/0.88 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.36/0.96 % Solved by lams/40_noforms.sh.
% 1.36/0.96 % done 12 iterations in 0.036s
% 1.36/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.96 % SZS output start Refutation
% See solution above
% 1.36/0.96
% 1.36/0.96
% 1.36/0.96 % Terminating...
% 1.62/1.07 % Runner terminated.
% 1.62/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------