TSTP Solution File: LCL958^18 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL958^18 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.51Xh5gzBPT true
% Computer : n029.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 09:02:50 EDT 2023
% Result : Theorem 0.21s 0.77s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 34
% Syntax : Number of formulae : 56 ( 26 unt; 17 typ; 0 def)
% Number of atoms : 109 ( 18 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 233 ( 15 ~; 16 |; 6 &; 172 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 66 ( 66 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 97 ( 41 ^; 50 !; 6 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(sk__5_type,type,
sk__5: $i > mworld ).
thf(big_q_type,type,
big_q: $i > mworld > $o ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(sk__2_type,type,
sk__2: mworld > $i ).
thf(mactual_type,type,
mactual: mworld ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(mor_type,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(big_p_type,type,
big_p: $i > mworld > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(sk__9_type,type,
sk__9: $i > mworld ).
thf(sk__7_type,type,
sk__7: $i > mworld ).
thf(eiw_di_nonempty,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ) ).
thf(zip_derived_cl1,plain,
! [X0: mworld] : ( eiw_di @ ( sk__2 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[eiw_di_nonempty]) ).
thf(eiw_di_cumul,axiom,
! [W: mworld,V: mworld,X: $i] :
( ( ( eiw_di @ X @ W )
& ( mrel @ W @ V ) )
=> ( eiw_di @ X @ V ) ) ).
thf(zip_derived_cl2,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( mrel @ X0 @ X1 )
| ~ ( eiw_di @ X2 @ X0 )
| ( eiw_di @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[eiw_di_cumul]) ).
thf(mrel_universal,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ) ).
thf(zip_derived_cl0,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl14,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( eiw_di @ X2 @ X0 )
| ( eiw_di @ X2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl16,plain,
! [X0: mworld,X1: mworld] : ( eiw_di @ ( sk__2 @ X0 ) @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl14]) ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( A @ X @ W )
& ( eiw_di @ X @ W ) ) ) ) ).
thf('0',plain,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( A @ X @ W )
& ( eiw_di @ X @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_di_def]) ).
thf('1',plain,
( mexists_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
? [X4: $i] :
( ( V_1 @ X4 @ V_2 )
& ( eiw_di @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ) ).
thf('2',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_di_def]) ).
thf('3',plain,
( mforall_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
! [X4: $i] :
( ( eiw_di @ X4 @ V_2 )
=> ( V_1 @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('5',plain,
( mbox
= ( ^ [V_1: mworld > $o,V_2: mworld] :
! [X4: mworld] :
( ( mrel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('6',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('7',plain,
( mimplies
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mor_def,axiom,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ) ).
thf('8',plain,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor_def]) ).
thf('9',plain,
( mor
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('10',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('11',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(x2137,conjecture,
( mlocal
@ ( mexists_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( big_p @ X ) ) @ ( mor @ ( mbox @ ( big_q @ X ) ) @ ( mbox @ ( big_p @ Y ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
? [X4: $i] :
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: $i] :
( ( eiw_di @ X8 @ X6 )
=> ! [X10: mworld] :
( ( mrel @ X6 @ X10 )
=> ( ! [X12: mworld] :
( ( mrel @ X10 @ X12 )
=> ( big_p @ X4 @ X12 ) )
=> ( ! [X14: mworld] :
( ( mrel @ X10 @ X14 )
=> ( big_q @ X4 @ X14 ) )
| ! [X16: mworld] :
( ( mrel @ X10 @ X16 )
=> ( big_p @ X8 @ X16 ) ) ) ) ) ) )
& ( eiw_di @ X4 @ mactual ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ? [X4: $i] :
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: $i] :
( ( eiw_di @ X8 @ X6 )
=> ! [X10: mworld] :
( ( mrel @ X6 @ X10 )
=> ( ! [X12: mworld] :
( ( mrel @ X10 @ X12 )
=> ( big_p @ X4 @ X12 ) )
=> ( ! [X14: mworld] :
( ( mrel @ X10 @ X14 )
=> ( big_q @ X4 @ X14 ) )
| ! [X16: mworld] :
( ( mrel @ X10 @ X16 )
=> ( big_p @ X8 @ X16 ) ) ) ) ) ) )
& ( eiw_di @ X4 @ mactual ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: mworld] :
( ~ ( mrel @ ( sk__7 @ X0 ) @ X1 )
| ( big_p @ X0 @ X1 )
| ~ ( eiw_di @ X0 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_001,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: mworld] :
( ( big_p @ X0 @ X1 )
| ~ ( eiw_di @ X0 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ~ ( big_p @ ( sk__6 @ X0 ) @ ( sk__9 @ X0 ) )
| ~ ( eiw_di @ X0 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ~ ( eiw_di @ ( sk__6 @ X0 ) @ mactual )
| ~ ( eiw_di @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl8]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( eiw_di @ ( sk__6 @ X0 ) @ ( sk__5 @ X0 ) )
| ~ ( eiw_di @ X0 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14_002,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( eiw_di @ X2 @ X0 )
| ( eiw_di @ X2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: mworld] :
( ~ ( eiw_di @ X0 @ mactual )
| ( eiw_di @ ( sk__6 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl14]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
~ ( eiw_di @ X0 @ mactual ),
inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl15]) ).
thf(zip_derived_cl29,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL958^18 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.51Xh5gzBPT true
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 07:37:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /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
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % Solved by lams/40_c.s.sh.
% 0.21/0.77 % done 14 iterations in 0.014s
% 0.21/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77 % SZS output start Refutation
% See solution above
% 0.21/0.77
% 0.21/0.77
% 0.21/0.77 % Terminating...
% 1.50/0.88 % Runner terminated.
% 1.67/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------