TSTP Solution File: PUZ113^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ113^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YxBS5uR2tz true
% Computer : n008.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 13:31:11 EDT 2023
% Result : Theorem 0.81s 0.86s
% Output : Refutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 51 ( 3 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 311 ( 18 ~; 14 |; 14 &; 248 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 30 ^; 37 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(c1_type,type,
c1: $i ).
thf(cCKB6_BLACK_type,type,
cCKB6_BLACK: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: ( $i > $i > $o ) > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(s_type,type,
s: $i > $i ).
thf(sk__6_type,type,
sk__6: ( $i > $i > $o ) > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $o ).
thf(cCKB6_BLACK_def,axiom,
( cCKB6_BLACK
= ( ^ [Xu: $i,Xv: $i] :
! [Xw: $i > $i > $o] :
( ( ( Xw @ c1 @ c1 )
& ! [Xj: $i,Xk: $i] :
( ( Xw @ Xj @ Xk )
=> ( ( Xw @ ( s @ ( s @ Xj ) ) @ Xk )
& ( Xw @ ( s @ Xj ) @ ( s @ Xk ) ) ) ) )
=> ( Xw @ Xu @ Xv ) ) ) ) ).
thf('0',plain,
( cCKB6_BLACK
= ( ^ [Xu: $i,Xv: $i] :
! [Xw: $i > $i > $o] :
( ( ( Xw @ c1 @ c1 )
& ! [Xj: $i,Xk: $i] :
( ( Xw @ Xj @ Xk )
=> ( ( Xw @ ( s @ ( s @ Xj ) ) @ Xk )
& ( Xw @ ( s @ Xj ) @ ( s @ Xk ) ) ) ) )
=> ( Xw @ Xu @ Xv ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cCKB6_BLACK_def]) ).
thf('1',plain,
( cCKB6_BLACK
= ( ^ [V_1: $i,V_2: $i] :
! [X4: $i > $i > $o] :
( ( ( X4 @ c1 @ c1 )
& ! [X6: $i,X8: $i] :
( ( X4 @ X6 @ X8 )
=> ( ( X4 @ ( s @ ( s @ X6 ) ) @ X8 )
& ( X4 @ ( s @ X6 ) @ ( s @ X8 ) ) ) ) )
=> ( X4 @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(cCKB6_L11000,conjecture,
! [Xj: $i,Xk: $i] :
( ( cCKB6_BLACK @ Xj @ Xk )
=> ( cCKB6_BLACK @ ( s @ ( s @ Xj ) ) @ ( s @ ( s @ Xk ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ! [X8: $i > $i > $o] :
( ( ( X8 @ c1 @ c1 )
& ! [X10: $i,X12: $i] :
( ( X8 @ X10 @ X12 )
=> ( ( X8 @ ( s @ ( s @ X10 ) ) @ X12 )
& ( X8 @ ( s @ X10 ) @ ( s @ X12 ) ) ) ) )
=> ( X8 @ X4 @ X6 ) )
=> ! [X14: $i > $i > $o] :
( ( ( X14 @ c1 @ c1 )
& ! [X16: $i,X18: $i] :
( ( X14 @ X16 @ X18 )
=> ( ( X14 @ ( s @ ( s @ X16 ) ) @ X18 )
& ( X14 @ ( s @ X16 ) @ ( s @ X18 ) ) ) ) )
=> ( X14 @ ( s @ ( s @ X4 ) ) @ ( s @ ( s @ X6 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ! [X8: $i > $i > $o] :
( ( ( X8 @ c1 @ c1 )
& ! [X10: $i,X12: $i] :
( ( X8 @ X10 @ X12 )
=> ( ( X8 @ ( s @ ( s @ X10 ) ) @ X12 )
& ( X8 @ ( s @ X10 ) @ ( s @ X12 ) ) ) ) )
=> ( X8 @ X4 @ X6 ) )
=> ! [X14: $i > $i > $o] :
( ( ( X14 @ c1 @ c1 )
& ! [X16: $i,X18: $i] :
( ( X14 @ X16 @ X18 )
=> ( ( X14 @ ( s @ ( s @ X16 ) ) @ X18 )
& ( X14 @ ( s @ X16 ) @ ( s @ X18 ) ) ) ) )
=> ( X14 @ ( s @ ( s @ X4 ) ) @ ( s @ ( s @ X6 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X1: $i,X2: $i] :
( ( sk__5 @ ( s @ X1 ) @ ( s @ X2 ) )
| ~ ( sk__5 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X1: $i,X2: $i] :
( ( sk__5 @ ( s @ ( s @ X1 ) ) @ X2 )
| ~ ( sk__5 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i > $i > $o] :
( ( X0 @ sk__3 @ sk__4 )
| ~ ( X0 @ ( s @ ( sk__6 @ X0 ) ) @ ( s @ ( sk__7 @ X0 ) ) )
| ~ ( X0 @ ( s @ ( s @ ( sk__6 @ X0 ) ) ) @ ( sk__7 @ X0 ) )
| ~ ( X0 @ c1 @ c1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl82,plain,
( ~ ( sk__5 @ ( sk__6 @ sk__5 ) @ ( sk__7 @ sk__5 ) )
| ~ ( sk__5 @ c1 @ c1 )
| ~ ( sk__5 @ ( s @ ( sk__6 @ sk__5 ) ) @ ( s @ ( sk__7 @ sk__5 ) ) )
| ( sk__5 @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
sk__5 @ c1 @ c1,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $i > $o] :
( ( X0 @ sk__3 @ sk__4 )
| ( X0 @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
| ~ ( X0 @ c1 @ c1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl44,plain,
( ( ^ [Y0: $i,Y1: $i] :
( sk__5
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ ( sk__6
@ ^ [Y0: $i,Y1: $i] :
( sk__5
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) )
@ ( sk__7
@ ^ [Y0: $i,Y1: $i] :
( sk__5
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) ) ) )
| ( ^ [Y0: $i,Y1: $i] :
( sk__5
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ sk__3
@ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl52,plain,
( ( sk__5 @ ( sk__6 @ sk__5 ) @ ( sk__7 @ sk__5 ) )
| ( sk__5 @ sk__3 @ sk__4 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl4_001,plain,
! [X1: $i,X2: $i] :
( ( sk__5 @ ( s @ X1 ) @ ( s @ X2 ) )
| ~ ( sk__5 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_002,plain,
! [X1: $i,X2: $i] :
( ( sk__5 @ ( s @ X1 ) @ ( s @ X2 ) )
| ~ ( sk__5 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( sk__5 @ ( s @ ( s @ sk__3 ) ) @ ( s @ ( s @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl57,plain,
~ ( sk__5 @ ( s @ sk__3 ) @ ( s @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl59,plain,
~ ( sk__5 @ sk__3 @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl57]) ).
thf(zip_derived_cl61,plain,
sk__5 @ ( sk__6 @ sk__5 ) @ ( sk__7 @ sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl59]) ).
thf(zip_derived_cl5_003,plain,
sk__5 @ c1 @ c1,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl59_004,plain,
~ ( sk__5 @ sk__3 @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl57]) ).
thf(zip_derived_cl229,plain,
~ ( sk__5 @ ( s @ ( sk__6 @ sk__5 ) ) @ ( s @ ( sk__7 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl61,zip_derived_cl5,zip_derived_cl59]) ).
thf(zip_derived_cl322,plain,
~ ( sk__5 @ ( sk__6 @ sk__5 ) @ ( sk__7 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl229]) ).
thf(zip_derived_cl61_005,plain,
sk__5 @ ( sk__6 @ sk__5 ) @ ( sk__7 @ sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl59]) ).
thf(zip_derived_cl324,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ113^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YxBS5uR2tz true
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 22:57:32 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /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
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.81/0.86 % Solved by lams/40_noforms.sh.
% 0.81/0.86 % done 23 iterations in 0.085s
% 0.81/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.81/0.86 % SZS output start Refutation
% See solution above
% 0.81/0.86
% 0.81/0.86
% 0.81/0.86 % Terminating...
% 1.89/0.96 % Runner terminated.
% 1.89/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------