TSTP Solution File: NLP264^7 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NLP264^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vfEdLnEHmL true
% Computer : n032.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 10:20:03 EDT 2023
% Result : Theorem 0.14s 0.65s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 41
% Syntax : Number of formulae : 61 ( 30 unt; 17 typ; 0 def)
% Number of atoms : 112 ( 21 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 170 ( 21 ~; 19 |; 0 &; 130 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 67 ( 67 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 71 ( 39 ^; 32 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(seventy_type,type,
seventy: mu ).
thf(dest_type,type,
dest: mu > $i > $o ).
thf(rel_s4_type,type,
rel_s4: $i > $i > $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(paris_type,type,
paris: mu ).
thf(sk__8_type,type,
sk__8: $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(second_type,type,
second: mu ).
thf(sk__7_type,type,
sk__7: $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(price_type,type,
price: mu > $i > $o ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(class_type,type,
class: mu > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('1',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_s4 @ 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(con,conjecture,
mvalid @ ( mbox_s4 @ ( price @ seventy ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ( price @ seventy @ X6 )
| ~ ( rel_s4 @ X4 @ X6 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ( price @ seventy @ X6 )
| ~ ( rel_s4 @ X4 @ X6 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
~ ( price @ seventy @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
rel_s4 @ sk__7 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
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(law2,axiom,
mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i] :
( ~ ( class @ second @ X6 )
| ~ ( dest @ paris @ X6 )
| ( price @ seventy @ X6 )
| ~ ( rel_s4 @ X4 @ X6 ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( class @ second @ X0 )
| ~ ( dest @ paris @ X0 )
| ( price @ seventy @ X0 )
| ~ ( rel_s4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('12',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('13',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mreflexive @ rel_s4 ).
thf(zf_stmt_3,axiom,
! [X4: $i] : ( rel_s4 @ X4 @ X4 ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] : ( rel_s4 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(belief2,axiom,
mvalid @ ( mbox_s4 @ ( class @ second ) ) ).
thf(zf_stmt_4,axiom,
! [X4: $i,X6: $i] :
( ( class @ second @ X6 )
| ~ ( rel_s4 @ X4 @ X6 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( class @ second @ X0 )
| ~ ( rel_s4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] : ( class @ second @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl14]) ).
thf(zip_derived_cl1_001,plain,
! [X0: $i] : ( rel_s4 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(belief1,axiom,
mvalid @ ( mbox_s4 @ ( dest @ paris ) ) ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: $i] :
( ( dest @ paris @ X6 )
| ~ ( rel_s4 @ X4 @ X6 ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( dest @ paris @ X0 )
| ~ ( rel_s4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] : ( dest @ paris @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl13]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( price @ seventy @ X0 )
| ~ ( rel_s4 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl32,zip_derived_cl18]) ).
thf(zip_derived_cl68,plain,
price @ seventy @ sk__8,
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl67]) ).
thf(zip_derived_cl74,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NLP264^7 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vfEdLnEHmL true
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu Aug 24 10:45:12 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % Running portfolio for 300 s
% 0.10/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.29 % Number of cores: 8
% 0.10/0.29 % Python version: Python 3.6.8
% 0.10/0.29 % Running in HO mode
% 0.14/0.52 % Total configuration time : 828
% 0.14/0.52 % Estimated wc time : 1656
% 0.14/0.52 % Estimated cpu time (8 cpus) : 207.0
% 0.14/0.59 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.14/0.60 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.14/0.60 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.14/0.60 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.14/0.60 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.14/0.60 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.14/0.60 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.14/0.60 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.14/0.64 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.14/0.65 % Solved by lams/40_c.s.sh.
% 0.14/0.65 % done 37 iterations in 0.028s
% 0.14/0.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.14/0.65 % SZS output start Refutation
% See solution above
% 0.14/0.66
% 0.14/0.66
% 0.14/0.66 % Terminating...
% 0.14/0.73 % Runner terminated.
% 0.14/0.74 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------