TSTP Solution File: SYO113^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO113^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HRZvDqBXZv true
% Computer : n006.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 : Fri Sep 1 05:49:46 EDT 2023
% Result : Theorem 0.19s 0.77s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 18 unt; 9 typ; 0 def)
% Number of atoms : 131 ( 0 equ; 0 cnn)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 313 ( 29 ~; 37 |; 30 &; 198 @)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(c0_type,type,
c0: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(cNUMBER_type,type,
cNUMBER: $i > $o ).
thf(cEVEN_type,type,
cEVEN: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(cS_type,type,
cS: $i > $i ).
thf(cODD_type,type,
cODD: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(cTHM350,conjecture,
( ( ! [Xn: $i] :
( ( cNUMBER @ Xn )
<=> ( ( cODD @ Xn )
| ( cEVEN @ Xn ) ) )
& ( ( ! [Xx: $i] :
( ( ( cNUMBER @ ( cS @ Xx ) )
& ( cNUMBER @ Xx ) )
=> ( ( cNUMBER @ ( cS @ ( cS @ Xx ) ) )
& ( cNUMBER @ ( cS @ Xx ) ) ) )
& ( cNUMBER @ ( cS @ c0 ) )
& ( cNUMBER @ c0 ) )
=> ! [Xx: $i] :
( ( cNUMBER @ Xx )
& ( cNUMBER @ ( cS @ Xx ) ) ) )
& ! [Xn: $i] :
( ( cODD @ Xn )
=> ( cODD @ ( cS @ ( cS @ Xn ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ! [Xn: $i] :
( ( cEVEN @ Xn )
=> ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) )
& ( cEVEN @ c0 ) )
=> ! [Xn: $i] : ( cNUMBER @ Xn ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_0: $i > $o ).
thf(zf_stmt_1,axiom,
! [Xn: $i] :
( ( zip_tseitin_0 @ Xn )
<=> ( ( cEVEN @ Xn )
| ( cODD @ Xn ) ) ) ).
thf(zf_stmt_2,conjecture,
( ( ( cEVEN @ c0 )
& ! [Xn: $i] :
( ( cEVEN @ Xn )
=> ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ! [Xn: $i] :
( ( cODD @ Xn )
=> ( cODD @ ( cS @ ( cS @ Xn ) ) ) )
& ( ( ( cNUMBER @ c0 )
& ( cNUMBER @ ( cS @ c0 ) )
& ! [Xx: $i] :
( ( ( cNUMBER @ Xx )
& ( cNUMBER @ ( cS @ Xx ) ) )
=> ( ( cNUMBER @ ( cS @ Xx ) )
& ( cNUMBER @ ( cS @ ( cS @ Xx ) ) ) ) ) )
=> ! [Xx: $i] :
( ( cNUMBER @ ( cS @ Xx ) )
& ( cNUMBER @ Xx ) ) )
& ! [Xn: $i] :
( ( cNUMBER @ Xn )
<=> ( zip_tseitin_0 @ Xn ) ) )
=> ! [Xn: $i] : ( cNUMBER @ Xn ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ( ( ( cEVEN @ c0 )
& ! [Xn: $i] :
( ( cEVEN @ Xn )
=> ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ! [Xn: $i] :
( ( cODD @ Xn )
=> ( cODD @ ( cS @ ( cS @ Xn ) ) ) )
& ( ( ( cNUMBER @ c0 )
& ( cNUMBER @ ( cS @ c0 ) )
& ! [Xx: $i] :
( ( ( cNUMBER @ Xx )
& ( cNUMBER @ ( cS @ Xx ) ) )
=> ( ( cNUMBER @ ( cS @ Xx ) )
& ( cNUMBER @ ( cS @ ( cS @ Xx ) ) ) ) ) )
=> ! [Xx: $i] :
( ( cNUMBER @ ( cS @ Xx ) )
& ( cNUMBER @ Xx ) ) )
& ! [Xn: $i] :
( ( cNUMBER @ Xn )
<=> ( zip_tseitin_0 @ Xn ) ) )
=> ! [Xn: $i] : ( cNUMBER @ Xn ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl15,plain,
~ ( cNUMBER @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl12,plain,
! [X3: $i] :
( ( cNUMBER @ X3 )
| ~ ( cNUMBER @ ( cS @ ( cS @ sk__1 ) ) )
| ~ ( cNUMBER @ ( cS @ sk__1 ) )
| ~ ( cNUMBER @ ( cS @ c0 ) )
| ~ ( cNUMBER @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( ( cNUMBER @ ( cS @ X2 ) )
| ~ ( cNUMBER @ ( cS @ ( cS @ sk__1 ) ) )
| ~ ( cNUMBER @ ( cS @ sk__1 ) )
| ~ ( cNUMBER @ ( cS @ c0 ) )
| ~ ( cNUMBER @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl10,plain,
! [X3: $i] :
( ( cNUMBER @ X3 )
| ( cNUMBER @ sk__1 )
| ~ ( cNUMBER @ ( cS @ c0 ) )
| ~ ( cNUMBER @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl13,plain,
! [X4: $i] :
( ( cNUMBER @ X4 )
| ~ ( zip_tseitin_0 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( cODD @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( cNUMBER @ X0 )
| ~ ( cODD @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
cODD @ ( cS @ c0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl28,plain,
cNUMBER @ ( cS @ c0 ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl5]) ).
thf(zip_derived_cl13_001,plain,
! [X4: $i] :
( ( cNUMBER @ X4 )
| ~ ( zip_tseitin_0 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( cEVEN @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( cNUMBER @ X0 )
| ~ ( cEVEN @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
cEVEN @ c0,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl38,plain,
cNUMBER @ c0,
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl3]) ).
thf(zip_derived_cl99,plain,
! [X3: $i] :
( ( cNUMBER @ X3 )
| ( cNUMBER @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl28,zip_derived_cl38]) ).
thf(zip_derived_cl100,plain,
cNUMBER @ sk__1,
inference(condensation,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl14,plain,
! [X5: $i] :
( ( zip_tseitin_0 @ X5 )
| ~ ( cNUMBER @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( cODD @ X0 )
| ( cEVEN @ X0 )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ~ ( cNUMBER @ X0 )
| ( cEVEN @ X0 )
| ( cODD @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl0]) ).
thf(zip_derived_cl101,plain,
( ( cODD @ sk__1 )
| ( cEVEN @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl32]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( cEVEN @ ( cS @ ( cS @ X0 ) ) )
| ~ ( cEVEN @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl18_002,plain,
! [X0: $i] :
( ( cNUMBER @ X0 )
| ~ ( cEVEN @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ~ ( cEVEN @ X0 )
| ( cNUMBER @ ( cS @ ( cS @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl18]) ).
thf(zip_derived_cl103,plain,
( ( cODD @ sk__1 )
| ( cNUMBER @ ( cS @ ( cS @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl42]) ).
thf(zip_derived_cl6,plain,
! [X1: $i] :
( ( cODD @ ( cS @ ( cS @ X1 ) ) )
| ~ ( cODD @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl17_003,plain,
! [X0: $i] :
( ( cNUMBER @ X0 )
| ~ ( cODD @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl2]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( cODD @ X0 )
| ( cNUMBER @ ( cS @ ( cS @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl17]) ).
thf(zip_derived_cl117,plain,
cNUMBER @ ( cS @ ( cS @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl103,zip_derived_cl46]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ( cNUMBER @ ( cS @ X2 ) )
| ( cNUMBER @ ( cS @ sk__1 ) )
| ~ ( cNUMBER @ ( cS @ c0 ) )
| ~ ( cNUMBER @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl28_004,plain,
cNUMBER @ ( cS @ c0 ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl5]) ).
thf(zip_derived_cl38_005,plain,
cNUMBER @ c0,
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl3]) ).
thf(zip_derived_cl95,plain,
! [X2: $i] :
( ( cNUMBER @ ( cS @ X2 ) )
| ( cNUMBER @ ( cS @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl28,zip_derived_cl38]) ).
thf(zip_derived_cl96,plain,
cNUMBER @ ( cS @ sk__1 ),
inference(condensation,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl28_006,plain,
cNUMBER @ ( cS @ c0 ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl5]) ).
thf(zip_derived_cl38_007,plain,
cNUMBER @ c0,
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl3]) ).
thf(zip_derived_cl145,plain,
! [X2: $i] : ( cNUMBER @ ( cS @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl117,zip_derived_cl96,zip_derived_cl28,zip_derived_cl38]) ).
thf(zip_derived_cl145_008,plain,
! [X2: $i] : ( cNUMBER @ ( cS @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl117,zip_derived_cl96,zip_derived_cl28,zip_derived_cl38]) ).
thf(zip_derived_cl145_009,plain,
! [X2: $i] : ( cNUMBER @ ( cS @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl117,zip_derived_cl96,zip_derived_cl28,zip_derived_cl38]) ).
thf(zip_derived_cl38_010,plain,
cNUMBER @ c0,
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl3]) ).
thf(zip_derived_cl156,plain,
! [X3: $i] : ( cNUMBER @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl145,zip_derived_cl145,zip_derived_cl145,zip_derived_cl38]) ).
thf(zip_derived_cl158,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO113^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HRZvDqBXZv true
% 0.16/0.33 % Computer : n006.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Sat Aug 26 06:33:22 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34 % Number of cores: 8
% 0.16/0.34 % Python version: Python 3.6.8
% 0.16/0.34 % Running in HO mode
% 0.19/0.66 % Total configuration time : 828
% 0.19/0.66 % Estimated wc time : 1656
% 0.19/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.19/0.77 % Solved by lams/40_c_ic.sh.
% 0.19/0.77 % done 69 iterations in 0.026s
% 0.19/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.77 % SZS output start Refutation
% See solution above
% 0.19/0.77
% 0.19/0.77
% 0.19/0.77 % Terminating...
% 1.66/0.86 % Runner terminated.
% 1.79/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------