TSTP Solution File: SYO330^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO330^5 : 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.2VCLkSDM2J true
% Computer : n026.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 05:50:43 EDT 2023
% Result : Theorem 65.63s 9.20s
% Output : Refutation 65.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 6 unt; 9 typ; 0 def)
% Number of atoms : 77 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 329 ( 41 ~; 44 |; 30 &; 195 @)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 10 ^; 57 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(sk__1_type,type,
sk__1: ( $i > $o ) > ( $i > $o ) > $i ).
thf(c0_type,type,
c0: $i ).
thf(cNUMBER_type,type,
cNUMBER: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(cEVEN_type,type,
cEVEN: $i > $o ).
thf(cS_type,type,
cS: $i > $i ).
thf(cODD_type,type,
cODD: $i > $o ).
thf(cEVEN_ODD_4,conjecture,
( ( ! [Xn: $i] :
( ( cNUMBER @ Xn )
<=> ( ( cODD @ Xn )
| ( cEVEN @ Xn ) ) )
& ! [P: $i > $o,Q: $i > $o] :
( ( ! [Xx: $i] :
( ( ( Q @ Xx )
& ( P @ Xx ) )
=> ( ( Q @ ( cS @ Xx ) )
& ( P @ ( cS @ Xx ) ) ) )
& ( Q @ c0 )
& ( P @ c0 ) )
=> ! [Xx: $i] :
( ( P @ Xx )
& ( Q @ 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 ) ) ) )
& ! [P: $i > $o,Q: $i > $o] :
( ( ( P @ c0 )
& ( Q @ c0 )
& ! [Xx: $i] :
( ( ( P @ Xx )
& ( Q @ Xx ) )
=> ( ( P @ ( cS @ Xx ) )
& ( Q @ ( cS @ Xx ) ) ) ) )
=> ! [Xx: $i] :
( ( Q @ Xx )
& ( P @ 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 ) ) ) )
& ! [P: $i > $o,Q: $i > $o] :
( ( ( P @ c0 )
& ( Q @ c0 )
& ! [Xx: $i] :
( ( ( P @ Xx )
& ( Q @ Xx ) )
=> ( ( P @ ( cS @ Xx ) )
& ( Q @ ( cS @ Xx ) ) ) ) )
=> ! [Xx: $i] :
( ( Q @ Xx )
& ( P @ 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_cl0,plain,
! [X0: $i] :
( ( cODD @ X0 )
| ( cEVEN @ X0 )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( cEVEN @ ( cS @ ( cS @ X0 ) ) )
| ~ ( cEVEN @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl6,plain,
! [X1: $i] :
( ( cODD @ ( cS @ ( cS @ X1 ) ) )
| ~ ( cODD @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl12,plain,
! [X2: $i > $o,X3: $i > $o,X5: $i] :
( ~ ( X2 @ c0 )
| ~ ( X3 @ c0 )
| ( X2 @ ( sk__1 @ X3 @ X2 ) )
| ( X2 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl988,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ c0 )
| ~ ( X1 @ c0 )
| ( X0 @ ( sk__1 @ X1 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X7: $i] :
( ( zip_tseitin_0 @ X7 )
| ~ ( cNUMBER @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1010,plain,
! [X0: $i > $o] :
( ~ ( X0 @ c0 )
| ~ ( cNUMBER @ c0 )
| ( zip_tseitin_0 @ ( sk__1 @ X0 @ cNUMBER ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl988,zip_derived_cl14]) ).
thf(zip_derived_cl5,plain,
cODD @ ( cS @ c0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl3,plain,
cEVEN @ c0,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl13,plain,
! [X6: $i] :
( ( cNUMBER @ X6 )
| ~ ( zip_tseitin_0 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl8,plain,
! [X2: $i > $o,X3: $i > $o,X5: $i] :
( ~ ( X2 @ c0 )
| ~ ( X3 @ c0 )
| ~ ( X3 @ ( cS @ ( sk__1 @ X3 @ X2 ) ) )
| ~ ( X2 @ ( cS @ ( sk__1 @ X3 @ X2 ) ) )
| ( X2 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl490,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( zip_tseitin_0 @ c0 )
| ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X0 )
| ~ ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( cS
@ ( sk__1 @ X1
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ~ ( X1
@ ( cS
@ ( sk__1 @ X1
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ~ ( X1 @ c0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl8]) ).
thf(zip_derived_cl586,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( zip_tseitin_0 @ c0 )
| ( cNUMBER @ X0 )
| ~ ( cNUMBER @ ( cS @ ( sk__1 @ X1 @ cNUMBER ) ) )
| ~ ( X1 @ ( cS @ ( sk__1 @ X1 @ cNUMBER ) ) )
| ~ ( X1 @ c0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl490]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( cODD @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13_001,plain,
! [X6: $i] :
( ( cNUMBER @ X6 )
| ~ ( zip_tseitin_0 @ X6 ) ),
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_cl13_002,plain,
! [X6: $i] :
( ( cNUMBER @ X6 )
| ~ ( zip_tseitin_0 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $o,X3: $i > $o,X4: $i] :
( ~ ( X2 @ c0 )
| ~ ( X3 @ c0 )
| ( X3 @ ( sk__1 @ X3 @ X2 ) )
| ( X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl30,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ c0 )
| ~ ( X1 @ c0 )
| ( X1 @ ( sk__1 @ X1 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl62,plain,
! [X0: $i > $o] :
( ~ ( zip_tseitin_0 @ c0 )
| ( X0
@ ( sk__1 @ X0
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) )
| ~ ( X0 @ c0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl30]) ).
thf(zip_derived_cl151,plain,
! [X0: $i > $o] :
( ~ ( zip_tseitin_0 @ c0 )
| ( X0 @ ( sk__1 @ X0 @ cNUMBER ) )
| ~ ( X0 @ c0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl3052,plain,
! [X0: $i > $o] :
( ~ ( cEVEN @ c0 )
| ~ ( X0 @ c0 )
| ( X0 @ ( sk__1 @ X0 @ cNUMBER ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl151]) ).
thf(zip_derived_cl3_003,plain,
cEVEN @ c0,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl3124,plain,
! [X0: $i > $o] :
( ~ ( X0 @ c0 )
| ( X0 @ ( sk__1 @ X0 @ cNUMBER ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3052,zip_derived_cl3]) ).
thf(zip_derived_cl1_004,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( cEVEN @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13996,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl15,zip_derived_cl0,zip_derived_cl4,zip_derived_cl6,zip_derived_cl1010,zip_derived_cl5,zip_derived_cl3,zip_derived_cl586,zip_derived_cl2,zip_derived_cl13,zip_derived_cl3124,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO330^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2VCLkSDM2J true
% 0.17/0.35 % Computer : n026.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 03:04:03 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 65.63/9.20 % Solved by lams/40_c_ic.sh.
% 65.63/9.20 % done 1026 iterations in 8.387s
% 65.63/9.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 65.63/9.20 % SZS output start Refutation
% See solution above
% 65.63/9.20
% 65.63/9.20
% 65.63/9.20 % Terminating...
% 66.85/9.31 % Runner terminated.
% 66.90/9.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------