↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV300^5 : TPTP v9.2.0. Bugfixed v6.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nOZRHWIGcE 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 Oct  2 04:57:32 PM UTC 2025

% Result   : Theorem 66.72s 9.16s
% Output   : Refutation 66.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEV300^5 : TPTP v9.2.0. Bugfixed v6.2.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nOZRHWIGcE true
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 15:40:08 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.57/0.67  % Total configuration time : 828
% 0.57/0.67  % Estimated wc time : 1656
% 0.57/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 66.72/9.16  % Solved by lams/40_c_ic.sh.
% 66.72/9.16  % done 464 iterations in 8.342s
% 66.72/9.16  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 66.72/9.16  % SZS output start Refutation
% 66.72/9.16  thf(sk__4_type, type, sk__4: $i > $i).
% 66.72/9.16  thf(cONE_type, type, cONE: ($i > $o) > $o).
% 66.72/9.16  thf(cZERO_type, type, cZERO: ($i > $o) > $o).
% 66.72/9.16  thf(sk__5_type, type, sk__5: $i).
% 66.72/9.16  thf(sk__3_type, type, sk__3: $i > $o).
% 66.72/9.16  thf(sk__6_type, type, sk__6: $i).
% 66.72/9.16  thf(sk__2_type, type, sk__2: ($i > $o) > $i > $i).
% 66.72/9.16  thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > ($i > $o) > $o).
% 66.72/9.16  thf(cSUCC_type, type, cSUCC: (($i > $o) > $o) > ($i > $o) > $o).
% 66.72/9.16  thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > ($i > $o) > $o).
% 66.72/9.16  thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > ($i > $o) > $o).
% 66.72/9.16  thf(cONE_def, axiom,(( cONE  ) = (cSUCC @ cZERO))).
% 66.72/9.16  thf(cSUCC_def, axiom,(( cSUCC  ) =
% 66.72/9.16    (^[Xn:( ( $i > $o ) > $o ),Xp:( $i > $o )]:
% 66.72/9.16     ( ?[Xx:$i]:
% 66.72/9.16       ( ( Xn @ ( ^[Xt:$i]: ( ( ( Xt ) != ( Xx ) ) & ( Xp @ Xt ) ) ) ) & 
% 66.72/9.16         ( Xp @ Xx ) ) )))).
% 66.72/9.16  thf('0', plain,
% 66.72/9.16      (( cSUCC ) =
% 66.72/9.16       ( ^[Xn:( ( $i > $o ) > $o ),Xp:( $i > $o )]:
% 66.72/9.16         ( ?[Xx:$i]:
% 66.72/9.16           ( ( Xn @ ( ^[Xt:$i]: ( ( ( Xt ) != ( Xx ) ) & ( Xp @ Xt ) ) ) ) & 
% 66.72/9.16             ( Xp @ Xx ) ) ) )),
% 66.72/9.16      inference('simplify_rw_rule', [status(thm)], [cSUCC_def])).
% 66.72/9.16  thf('1', plain,
% 66.72/9.16      (( cSUCC ) =
% 66.72/9.16       ( ^[V_1:( ( $i > $o ) > $o ),V_2:( $i > $o )]:
% 66.72/9.16         ( ?[X4:$i]:
% 66.72/9.16           ( ( V_1 @ ( ^[V_3:$i]: ( ( ( V_3 ) != ( X4 ) ) & ( V_2 @ V_3 ) ) ) ) & 
% 66.72/9.16             ( V_2 @ X4 ) ) ) )),
% 66.72/9.16      define([status(thm)])).
% 66.72/9.16  thf(cZERO_def, axiom,(( cZERO  ) =
% 66.72/9.16    (^[Xp:( $i > $o )]: ( ~( ?[Xx:$i]: ( Xp @ Xx ) ) )))).
% 66.72/9.16  thf('2', plain,
% 66.72/9.16      (( cZERO ) = ( ^[Xp:( $i > $o )]: ( ~( ?[Xx:$i]: ( Xp @ Xx ) ) ) )),
% 66.72/9.16      inference('simplify_rw_rule', [status(thm)], [cZERO_def])).
% 66.72/9.16  thf('3', plain,
% 66.72/9.16      (( cZERO ) = ( ^[V_1:( $i > $o )]: ( ~( ?[X4:$i]: ( V_1 @ X4 ) ) ) )),
% 66.72/9.16      define([status(thm)])).
% 66.72/9.16  thf('4', plain, (( cONE ) = ( cSUCC @ cZERO )),
% 66.72/9.16      inference('simplify_rw_rule', [status(thm)], [cONE_def, '1', '3'])).
% 66.72/9.16  thf('5', plain, (( cONE ) = ( cSUCC @ cZERO )), define([status(thm)])).
% 66.72/9.16  thf(cX6101_EXT_pme, conjecture,
% 66.72/9.16    (( ![Xf:( $i > $i ),Xg:( $i > $i )]:
% 66.72/9.16       ( ( ![Xx:$i]: ( ( Xf @ Xx ) = ( Xg @ Xx ) ) ) => ( ( Xf ) = ( Xg ) ) ) ) =>
% 66.72/9.16     ( ( cONE ) =
% 66.72/9.16       ( ^[P:( $i > $o )]:
% 66.72/9.16         ( ?[Xy:$i]: ( ( P ) = ( ^[Xx:$i,Xy:$i]: ( ( Xx ) = ( Xy ) ) @ Xy ) ) ) ) ))).
% 66.72/9.16  thf(zf_stmt_0, conjecture,
% 66.72/9.16    (( ![X4:( $i > $i ),X6:( $i > $i )]:
% 66.72/9.16       ( ( ![X8:$i]: ( ( X4 @ X8 ) = ( X6 @ X8 ) ) ) => ( ( X4 ) = ( X6 ) ) ) ) =>
% 66.72/9.16     ( ![V_2:( $i > $o )]:
% 66.72/9.16       ( ( ?[X10:$i]:
% 66.72/9.16           ( ( V_2 @ X10 ) & 
% 66.72/9.16             ( ~( ?[X12:$i]: ( ( V_2 @ X12 ) & ( ( X12 ) != ( X10 ) ) ) ) ) ) ) <=>
% 66.72/9.16         ( ?[X14:$i]:
% 66.72/9.16           ( ![V_3:$i]: ( ( V_2 @ V_3 ) <=> ( ( X14 ) = ( V_3 ) ) ) ) ) ) ))).
% 66.72/9.16  thf(zf_stmt_1, axiom,
% 66.72/9.16    (![V_3:$i,X14:$i,V_2:( $i > $o )]:
% 66.72/9.16     ( ( zip_tseitin_2 @ V_3 @ X14 @ V_2 ) <=>
% 66.72/9.16       ( ( V_2 @ V_3 ) <=> ( ( X14 ) = ( V_3 ) ) ) ))).
% 66.72/9.16  thf(zip_derived_cl8, plain,
% 66.72/9.16      (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 66.72/9.16         ( (zip_tseitin_2 @ X0 @ X1 @ X2) | ((X1) != (X0)) | ~ (X2 @ X0))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_1])).
% 66.72/9.16  thf(zip_derived_cl9, plain,
% 66.72/9.16      (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 66.72/9.16         ( (zip_tseitin_2 @ X0 @ X1 @ X2) | ((X1) = (X0)) |  (X2 @ X0))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_1])).
% 66.72/9.16  thf(zf_stmt_2, axiom,
% 66.72/9.16    (![X12:$i,X10:$i,V_2:( $i > $o )]:
% 66.72/9.16     ( ( zip_tseitin_0 @ X12 @ X10 @ V_2 ) <=>
% 66.72/9.16       ( ( ( X12 ) != ( X10 ) ) & ( V_2 @ X12 ) ) ))).
% 66.72/9.16  thf(zip_derived_cl2, plain,
% 66.72/9.16      (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 66.72/9.16         ( (zip_tseitin_0 @ X0 @ X1 @ X2) | ~ (X2 @ X0) | ((X0) = (X1)))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_2])).
% 66.72/9.16  thf(zf_stmt_3, axiom,
% 66.72/9.16    (![X10:$i,V_2:( $i > $o )]:
% 66.72/9.16     ( ( zip_tseitin_1 @ X10 @ V_2 ) <=>
% 66.72/9.16       ( ( ~( ?[X12:$i]: ( zip_tseitin_0 @ X12 @ X10 @ V_2 ) ) ) & 
% 66.72/9.16         ( V_2 @ X10 ) ) ))).
% 66.72/9.16  thf(zip_derived_cl3, plain,
% 66.72/9.16      (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 66.72/9.16         (~ (zip_tseitin_0 @ X0 @ X1 @ X2) | ~ (zip_tseitin_1 @ X1 @ X2))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_3])).
% 66.72/9.16  thf(zip_derived_cl0, plain,
% 66.72/9.16      (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 66.72/9.16         (((X1) != (X0)) | ~ (zip_tseitin_0 @ X1 @ X0 @ X2))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_2])).
% 66.72/9.16  thf(zf_stmt_4, type, zip_tseitin_2 : $i > $i > ( $i > $o ) > $o).
% 66.72/9.16  thf(zf_stmt_5, type, zip_tseitin_1 : $i > ( $i > $o ) > $o).
% 66.72/9.16  thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > ( $i > $o ) > $o).
% 66.72/9.16  thf(zf_stmt_7, conjecture,
% 66.72/9.16    (( ![X4:( $i > $i ),X6:( $i > $i )]:
% 66.72/9.16       ( ( ![X8:$i]: ( ( X4 @ X8 ) = ( X6 @ X8 ) ) ) => ( ( X4 ) = ( X6 ) ) ) ) =>
% 66.72/9.16     ( ![V_2:( $i > $o )]:
% 66.72/9.16       ( ( ?[X10:$i]: ( zip_tseitin_1 @ X10 @ V_2 ) ) <=>
% 66.72/9.16         ( ?[X14:$i]: ( ![V_3:$i]: ( zip_tseitin_2 @ V_3 @ X14 @ V_2 ) ) ) ) ))).
% 66.72/9.16  thf(zf_stmt_8, negated_conjecture,
% 66.72/9.16    (~( ( ![X4:( $i > $i ),X6:( $i > $i )]:
% 66.72/9.16          ( ( ![X8:$i]: ( ( X4 @ X8 ) = ( X6 @ X8 ) ) ) => ( ( X4 ) = ( X6 ) ) ) ) =>
% 66.72/9.16        ( ![V_2:( $i > $o )]:
% 66.72/9.16          ( ( ?[X10:$i]: ( zip_tseitin_1 @ X10 @ V_2 ) ) <=>
% 66.72/9.16            ( ?[X14:$i]: ( ![V_3:$i]: ( zip_tseitin_2 @ V_3 @ X14 @ V_2 ) ) ) ) ) )),
% 66.72/9.16    inference('cnf.neg', [status(esa)], [zf_stmt_7])).
% 66.72/9.16  thf(zip_derived_cl12, plain,
% 66.72/9.16      (![X4 : $i]:
% 66.72/9.16         ( (zip_tseitin_2 @ X4 @ sk__5 @ sk__3)
% 66.72/9.16          |  (zip_tseitin_1 @ sk__6 @ sk__3))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_8])).
% 66.72/9.16  thf(zip_derived_cl11, plain,
% 66.72/9.16      (![X2 : $i, X3 : $i]:
% 66.72/9.16         (~ (zip_tseitin_2 @ (sk__4 @ X2) @ X2 @ sk__3)
% 66.72/9.16          | ~ (zip_tseitin_1 @ X3 @ sk__3))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_8])).
% 66.72/9.16  thf(zip_derived_cl424, plain,
% 66.72/9.16      (![X0 : $i]:
% 66.72/9.16         ( (zip_tseitin_1 @ sk__6 @ sk__3) | ~ (zip_tseitin_1 @ X0 @ sk__3))),
% 66.72/9.16      inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl11])).
% 66.72/9.16  thf(zip_derived_cl6, plain,
% 66.72/9.16      (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 66.72/9.16         (((X1) != (X0)) |  (X2 @ X0) | ~ (zip_tseitin_2 @ X0 @ X1 @ X2))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_1])).
% 66.72/9.16  thf(zip_derived_cl11, plain,
% 66.72/9.16      (![X2 : $i, X3 : $i]:
% 66.72/9.16         (~ (zip_tseitin_2 @ (sk__4 @ X2) @ X2 @ sk__3)
% 66.72/9.16          | ~ (zip_tseitin_1 @ X3 @ sk__3))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_8])).
% 66.72/9.16  thf(zip_derived_cl5, plain,
% 66.72/9.16      (![X0 : $i, X1 : $i > $o]:
% 66.72/9.16         ( (zip_tseitin_1 @ X0 @ X1)
% 66.72/9.16          | ~ (X1 @ X0)
% 66.72/9.16          |  (zip_tseitin_0 @ (sk__2 @ X1 @ X0) @ X0 @ X1))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_3])).
% 66.72/9.16  thf(zip_derived_cl1, plain,
% 66.72/9.16      (![X0 : $i > $o, X1 : $i, X2 : $i]:
% 66.72/9.16         ( (X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X2 @ X0))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_2])).
% 66.72/9.16  thf(zip_derived_cl12, plain,
% 66.72/9.16      (![X4 : $i]:
% 66.72/9.16         ( (zip_tseitin_2 @ X4 @ sk__5 @ sk__3)
% 66.72/9.16          |  (zip_tseitin_1 @ sk__6 @ sk__3))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_8])).
% 66.72/9.16  thf(zip_derived_cl7, plain,
% 66.72/9.16      (![X0 : $i > $o, X1 : $i, X2 : $i]:
% 66.72/9.16         (~ (X0 @ X1) | ((X2) = (X1)) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_1])).
% 66.72/9.16  thf(zip_derived_cl4, plain,
% 66.72/9.16      (![X0 : $i > $o, X1 : $i]: ( (X0 @ X1) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 66.72/9.16      inference('cnf', [status(esa)], [zf_stmt_3])).
% 66.72/9.16  thf(zip_derived_cl7237, plain, ($false),
% 66.72/9.16      inference('eprover', [status(thm)],
% 66.72/9.16                [zip_derived_cl8, zip_derived_cl9, zip_derived_cl2, 
% 66.72/9.16                 zip_derived_cl3, zip_derived_cl0, zip_derived_cl424, 
% 66.72/9.16                 zip_derived_cl6, zip_derived_cl11, zip_derived_cl5, 
% 66.72/9.16                 zip_derived_cl1, zip_derived_cl12, zip_derived_cl7, 
% 66.72/9.16                 zip_derived_cl4])).
% 66.72/9.16  
% 66.72/9.16  % SZS output end Refutation
% 66.72/9.16  
% 66.72/9.16  
% 66.72/9.16  % Terminating...
% 67.48/9.27  % Runner terminated.
% 67.48/9.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------