TSTP Solution File: GEG015^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEG015^1 : 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.bAZyVGSlS3 true
% Computer : n001.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 22:42:16 EDT 2023
% Result : Theorem 25.60s 3.95s
% Output : Refutation 25.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 34
% Syntax : Number of formulae : 47 ( 25 unt; 13 typ; 0 def)
% Number of atoms : 187 ( 24 equ; 7 cnn)
% Maximal formula atoms : 31 ( 5 avg)
% Number of connectives : 386 ( 31 ~; 8 |; 43 &; 254 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 12 usr; 6 con; 0-3 aty)
% ( 16 !!; 5 ??; 0 @@+; 0 @@-)
% Number of variables : 117 ( 71 ^; 31 !; 15 ?; 117 :)
% 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(eq_type,type,
eq: reg > reg > $o ).
thf(france_type,type,
france: reg ).
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(p_type,type,
p: reg > reg > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
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(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] :
( ( p @ Y @ france )
& ( p @ Z @ france )
& ~ ( eq @ Z @ Y ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ~ ( a @ X4 @ X6 )
| ? [X8: reg,X10: reg] :
( ~ ( ! [X18: reg] :
( ( c @ X18 @ X10 )
=> ( c @ X18 @ X8 ) )
& ! [X16: reg] :
( ( c @ X16 @ X8 )
=> ( c @ X16 @ X10 ) ) )
& ! [X14: reg] :
( ( c @ X14 @ X8 )
=> ( c @ X14 @ france ) )
& ! [X12: reg] :
( ( c @ X12 @ X10 )
=> ( c @ X12 @ france ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ~ ( a @ X4 @ X6 )
| ? [X8: reg,X10: reg] :
( ~ ( ! [X18: reg] :
( ( c @ X18 @ X10 )
=> ( c @ X18 @ X8 ) )
& ! [X16: reg] :
( ( c @ X16 @ X8 )
=> ( c @ X16 @ X10 ) ) )
& ! [X14: reg] :
( ( c @ X14 @ X8 )
=> ( c @ X14 @ france ) )
& ! [X12: reg] :
( ( c @ X12 @ X10 )
=> ( c @ X12 @ france ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a @ Y0 @ Y1 ) )
| ( ??
@ ^ [Y2: reg] :
( ??
@ ^ [Y3: reg] :
( ( (~)
@ ( ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) )
& ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y2 )
=> ( c @ Y4 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y2 )
=> ( c @ Y4 @ france ) ) )
& ( !!
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ france ) ) ) ) ) ) ) ) ),
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(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,
( 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','1']) ).
thf('13',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(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(ax3,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X: $i] : ( ntpp @ paris @ france ) ) ) ).
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 @ 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_cl7,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_2]) ).
thf(zip_derived_cl2659,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl1,zip_derived_cl8,zip_derived_cl7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEG015^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bAZyVGSlS3 true
% 0.09/0.30 % Computer : n001.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 28 01:36:49 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.14/0.30 % Running in HO mode
% 0.14/0.56 % Total configuration time : 828
% 0.14/0.56 % Estimated wc time : 1656
% 0.14/0.56 % Estimated cpu time (8 cpus) : 207.0
% 0.14/0.62 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.14/0.62 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.14/0.63 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.14/0.64 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.14/0.65 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.14/0.65 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.14/0.65 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.14/0.66 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.14/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.64/0.85 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 25.60/3.95 % Solved by lams/15_e_short1.sh.
% 25.60/3.95 % done 134 iterations in 3.253s
% 25.60/3.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 25.60/3.95 % SZS output start Refutation
% See solution above
% 25.60/3.95
% 25.60/3.95
% 25.60/3.95 % Terminating...
% 26.50/4.07 % Runner terminated.
% 26.50/4.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------