TSTP Solution File: LCL619^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL619^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XIsgN1B48d 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 : Thu Aug 31 09:00:25 EDT 2023
% Result : Theorem 1.63s 1.00s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of formulae : 56 ( 24 unt; 12 typ; 0 def)
% Number of atoms : 97 ( 31 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 337 ( 51 ~; 42 |; 0 &; 230 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 93 ( 93 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 137 ( 66 ^; 71 !; 0 ?; 137 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__10_type,type,
sk__10: $i > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__8_type,type,
sk__8: $i > ( $i > $o ) > ( $i > $i > $o ) > $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_1 @ V_3 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimpl,axiom,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('4',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
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
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
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,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'5','7']) ).
thf('9',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [R: $i > $i > $o,X: $i > $o,Y: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ R @ ( mimpl @ X @ Y ) ) @ ( mimpl @ ( mbox @ R @ X ) @ ( mbox @ R @ ( mbox @ R @ Y ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i > $o,X8: $i > $o,X10: $i] :
( ~ ! [X12: $i] :
( ( X4 @ X10 @ X12 )
=> ( ~ ( X6 @ X12 )
| ( X8 @ X12 ) ) )
| ~ ! [X14: $i] :
( ( X4 @ X10 @ X14 )
=> ( X6 @ X14 ) )
| ! [X16: $i] :
( ( X4 @ X10 @ X16 )
=> ! [X18: $i] :
( ( X4 @ X16 @ X18 )
=> ( X8 @ X18 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i > $o,X8: $i > $o,X10: $i] :
( ~ ! [X12: $i] :
( ( X4 @ X10 @ X12 )
=> ( ~ ( X6 @ X12 )
| ( X8 @ X12 ) ) )
| ~ ! [X14: $i] :
( ( X4 @ X10 @ X14 )
=> ( X6 @ X14 ) )
| ! [X16: $i] :
( ( X4 @ X10 @ X16 )
=> ! [X18: $i] :
( ( X4 @ X16 @ X18 )
=> ( X8 @ X18 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
sk__9 @ sk__12 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(k4,axiom,
! [R: $i > $i > $o,X: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ R @ X ) @ ( mbox @ R @ ( mbox @ R @ X ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i > $i > $o,X6: $i > $o,X8: $i] :
( ~ ! [X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X10 ) )
| ! [X12: $i] :
( ( X4 @ X8 @ X12 )
=> ! [X14: $i] :
( ( X4 @ X12 @ X14 )
=> ( X6 @ X14 ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i > $i > $o,X3: $i,X4: $i] :
( ~ ( X0 @ ( sk__8 @ X1 @ X0 @ X2 ) )
| ~ ( X2 @ X1 @ X3 )
| ( X0 @ X4 )
| ~ ( X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i] :
( ~ ( ^ [Y0: $i] : ( X0 != Y0 )
@ ( sk__8 @ X2
@ ^ [Y0: $i] : ( X0 != Y0 )
@ X1 ) )
| ~ ( X1 @ X2 @ X3 )
| ( ^ [Y0: $i] : ( X0 != Y0 )
@ X0 )
| ~ ( X1 @ X3 @ X0 ) ),
inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i] :
( ( X0
!= ( sk__8 @ X2 @ ( $i != X0 ) @ X1 ) )
| ~ ( X1 @ X2 @ X3 )
| ( X0 != X0 )
| ~ ( X1 @ X3 @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i] :
( ( X0
!= ( sk__8 @ X2 @ ( $i != X0 ) @ X1 ) )
| ~ ( X1 @ X2 @ X3 )
| ~ ( X1 @ X3 @ X0 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i] :
( ( X0
= ( sk__8 @ X2 @ ( $i != X0 ) @ X1 ) )
| ~ ( X1 @ X2 @ X3 )
| ~ ( X1 @ X3 @ X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl721,plain,
! [X0: $i] :
( ~ ( ^ [Y0: $i,Y1: $i] :
( sk__9
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ sk__13
@ X0 )
| ( X0
= ( sk__8 @ sk__12 @ ( $i != X0 )
@ ^ [Y0: $i,Y1: $i] :
( sk__9
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl58]) ).
thf(zip_derived_cl762,plain,
! [X0: $i] :
( ~ ( sk__9 @ sk__13 @ X0 )
| ( X0
= ( sk__8 @ sk__12 @ ( $i != X0 ) @ sk__9 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl721]) ).
thf(zip_derived_cl2,plain,
sk__9 @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_001,plain,
sk__9 @ sk__12 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i > $o,X3: $i,X4: $i] :
( ( X0 @ X1 @ ( sk__8 @ X1 @ X2 @ X0 ) )
| ~ ( X0 @ X1 @ X3 )
| ( X2 @ X4 )
| ~ ( X0 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl239,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( ^ [Y0: $i,Y1: $i] :
( sk__9
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ sk__13
@ X0 )
| ( X1 @ X0 )
| ( ^ [Y0: $i,Y1: $i] :
( sk__9
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ sk__12
@ ( sk__8 @ sk__12 @ X1
@ ^ [Y0: $i,Y1: $i] :
( sk__9
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl275,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( sk__9 @ sk__13 @ X0 )
| ( X1 @ X0 )
| ( sk__9 @ sk__12 @ ( sk__8 @ sk__12 @ X1 @ sk__9 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl239]) ).
thf(zip_derived_cl377,plain,
! [X0: $i > $o] :
( ( sk__9 @ sk__12 @ ( sk__8 @ sk__12 @ X0 @ sk__9 ) )
| ( X0 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl275]) ).
thf(zip_derived_cl773,plain,
! [X0: $i] :
( ( sk__9 @ sk__12 @ X0 )
| ~ ( sk__9 @ sk__13 @ X0 )
| ( X0 != sk__14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl762,zip_derived_cl377]) ).
thf(zip_derived_cl775,plain,
! [X0: $i] :
( ( sk__9 @ sk__12 @ X0 )
| ~ ( sk__9 @ sk__13 @ X0 )
| ( X0 != sk__14 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl773]) ).
thf(zip_derived_cl776,plain,
( ~ ( sk__9 @ sk__13 @ sk__14 )
| ( sk__9 @ sk__12 @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl775]) ).
thf(zip_derived_cl2_002,plain,
sk__9 @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X1: $i] :
( ( sk__11 @ X1 )
| ~ ( sk__10 @ X1 )
| ~ ( sk__9 @ sk__12 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( sk__10 @ X0 )
| ~ ( sk__9 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X1: $i] :
( ~ ( sk__9 @ sk__12 @ X1 )
| ( sk__11 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl5]) ).
thf(zip_derived_cl3,plain,
~ ( sk__11 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
~ ( sk__9 @ sk__12 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).
thf(zip_derived_cl779,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl2,zip_derived_cl8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL619^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XIsgN1B48d true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 05:08:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.32/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.32/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.32/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.63/1.00 % Solved by lams/40_c_ic.sh.
% 1.63/1.00 % done 76 iterations in 0.228s
% 1.63/1.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.63/1.00 % SZS output start Refutation
% See solution above
% 1.63/1.00
% 1.63/1.00
% 1.63/1.00 % Terminating...
% 1.74/1.07 % Runner terminated.
% 1.74/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------