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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV214^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.p2JxTNEJZM true

% Computer : n005.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 04:57:23 PM UTC 2025

% Result   : Theorem 0.59s 0.86s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEV214^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.p2JxTNEJZM true
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 15:38:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % 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
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.81  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.82  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.83  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.86  % Solved by lams/40_c_ic.sh.
% 0.59/0.86  % done 29 iterations in 0.045s
% 0.59/0.86  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.86  % SZS output start Refutation
% 0.59/0.86  thf(iS_type, type, iS: $tType).
% 0.59/0.86  thf(zip_tseitin_0_type, type, zip_tseitin_0: iS > $o).
% 0.59/0.86  thf(sk__type, type, sk_: iS > iS).
% 0.59/0.86  thf(cP_type, type, cP: iS > iS > iS).
% 0.59/0.86  thf(sk__2_type, type, sk__2: iS).
% 0.59/0.86  thf(sk__1_type, type, sk__1: iS > iS).
% 0.59/0.86  thf(c0_type, type, c0: iS).
% 0.59/0.86  thf(sk__3_type, type, sk__3: iS).
% 0.59/0.86  thf(zip_tseitin_1_type, type, zip_tseitin_1: iS > $o).
% 0.59/0.86  thf(cS_T_LR_LEM2_pme, conjecture,
% 0.59/0.86    (( ( ![Xx:iS,Xy:iS]: ( ( cP @ Xx @ Xy ) != ( c0 ) ) ) & 
% 0.59/0.86       ( ![Xx:iS,Xy:iS,Xu:iS,Xv:iS]:
% 0.59/0.86         ( ( ( cP @ Xx @ Xu ) = ( cP @ Xy @ Xv ) ) =>
% 0.59/0.86           ( ( ( Xx ) = ( Xy ) ) & ( ( Xu ) = ( Xv ) ) ) ) ) & 
% 0.59/0.86       ( ![X:( iS > $o )]:
% 0.59/0.86         ( ( ( X @ c0 ) & 
% 0.59/0.86             ( ![Xx:iS,Xy:iS]:
% 0.59/0.86               ( ( ( X @ Xx ) & ( X @ Xy ) ) => ( X @ ( cP @ Xx @ Xy ) ) ) ) ) =>
% 0.59/0.86           ( ![Xx:iS]: ( X @ Xx ) ) ) ) ) =>
% 0.59/0.86     ( ( ( ^[Xx:iS]:
% 0.59/0.86           ( ( ( Xx ) = ( c0 ) ) | ( ?[Xy:iS]: ( ( c0 ) = ( cP @ Xx @ Xy ) ) ) ) ) =
% 0.59/0.86         ( ^[Xx:iS,Xy:iS]: ( ( Xx ) = ( Xy ) ) @ c0 ) ) & 
% 0.59/0.86       ( ( ^[Xy:iS]:
% 0.59/0.86           ( ( ( Xy ) = ( c0 ) ) | ( ?[Xx:iS]: ( ( c0 ) = ( cP @ Xx @ Xy ) ) ) ) ) =
% 0.59/0.86         ( ^[Xx:iS,Xy:iS]: ( ( Xx ) = ( Xy ) ) @ c0 ) ) ))).
% 0.59/0.86  thf(zf_stmt_0, conjecture,
% 0.59/0.86    (( ( ![X16:( iS > $o )]:
% 0.59/0.86         ( ( ( ![X18:iS,X20:iS]:
% 0.59/0.86               ( ( ( X16 @ X20 ) & ( X16 @ X18 ) ) =>
% 0.59/0.86                 ( X16 @ ( cP @ X18 @ X20 ) ) ) ) & 
% 0.59/0.86             ( X16 @ c0 ) ) =>
% 0.59/0.86           ( ![X22:iS]: ( X16 @ X22 ) ) ) ) & 
% 0.59/0.86       ( ![X8:iS,X10:iS,X12:iS,X14:iS]:
% 0.59/0.86         ( ( ( cP @ X8 @ X12 ) = ( cP @ X10 @ X14 ) ) =>
% 0.59/0.86           ( ( ( X12 ) = ( X14 ) ) & ( ( X8 ) = ( X10 ) ) ) ) ) & 
% 0.59/0.86       ( ![X4:iS,X6:iS]: ( ( cP @ X4 @ X6 ) != ( c0 ) ) ) ) =>
% 0.59/0.86     ( ( ![V_4:iS]:
% 0.59/0.86         ( ( ( ?[X26:iS]: ( ( c0 ) = ( cP @ X26 @ V_4 ) ) ) | 
% 0.59/0.86             ( ( V_4 ) = ( c0 ) ) ) <=>
% 0.59/0.86           ( ( c0 ) = ( V_4 ) ) ) ) & 
% 0.59/0.86       ( ![V_2:iS]:
% 0.59/0.86         ( ( ( ?[X24:iS]: ( ( c0 ) = ( cP @ V_2 @ X24 ) ) ) | 
% 0.59/0.86             ( ( V_2 ) = ( c0 ) ) ) <=>
% 0.59/0.86           ( ( c0 ) = ( V_2 ) ) ) ) ))).
% 0.59/0.86  thf(zf_stmt_1, axiom,
% 0.59/0.86    (![V_2:iS]:
% 0.59/0.86     ( ( zip_tseitin_1 @ V_2 ) <=>
% 0.59/0.86       ( ( ( V_2 ) = ( c0 ) ) | ( ?[X24:iS]: ( ( c0 ) = ( cP @ V_2 @ X24 ) ) ) ) ))).
% 0.59/0.86  thf(zip_derived_cl3, plain,
% 0.59/0.86      (![X0 : iS]:
% 0.59/0.86         (((c0) = (cP @ X0 @ (sk__1 @ X0)))
% 0.59/0.86          | ((X0) = (c0))
% 0.59/0.86          | ~ (zip_tseitin_1 @ X0))),
% 0.59/0.86      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.86  thf(zf_stmt_2, type, zip_tseitin_1 : iS > $o).
% 0.59/0.86  thf(zf_stmt_3, type, zip_tseitin_0 : iS > $o).
% 0.59/0.86  thf(zf_stmt_4, axiom,
% 0.59/0.86    (![V_4:iS]:
% 0.59/0.86     ( ( zip_tseitin_0 @ V_4 ) <=>
% 0.59/0.86       ( ( ( V_4 ) = ( c0 ) ) | ( ?[X26:iS]: ( ( c0 ) = ( cP @ X26 @ V_4 ) ) ) ) ))).
% 0.59/0.86  thf(zf_stmt_5, conjecture,
% 0.59/0.86    (( ( ![X4:iS,X6:iS]: ( ( cP @ X4 @ X6 ) != ( c0 ) ) ) & 
% 0.59/0.86       ( ![X8:iS,X10:iS,X12:iS,X14:iS]:
% 0.59/0.86         ( ( ( cP @ X8 @ X12 ) = ( cP @ X10 @ X14 ) ) =>
% 0.59/0.86           ( ( ( X8 ) = ( X10 ) ) & ( ( X12 ) = ( X14 ) ) ) ) ) & 
% 0.59/0.86       ( ![X16:( iS > $o )]:
% 0.59/0.86         ( ( ( X16 @ c0 ) & 
% 0.59/0.86             ( ![X18:iS,X20:iS]:
% 0.59/0.86               ( ( ( X16 @ X18 ) & ( X16 @ X20 ) ) =>
% 0.59/0.86                 ( X16 @ ( cP @ X18 @ X20 ) ) ) ) ) =>
% 0.59/0.86           ( ![X22:iS]: ( X16 @ X22 ) ) ) ) ) =>
% 0.59/0.86     ( ( ![V_2:iS]: ( ( zip_tseitin_1 @ V_2 ) <=> ( ( c0 ) = ( V_2 ) ) ) ) & 
% 0.59/0.86       ( ![V_4:iS]: ( ( zip_tseitin_0 @ V_4 ) <=> ( ( c0 ) = ( V_4 ) ) ) ) ))).
% 0.59/0.86  thf(zf_stmt_6, negated_conjecture,
% 0.59/0.86    (~( ( ( ![X4:iS,X6:iS]: ( ( cP @ X4 @ X6 ) != ( c0 ) ) ) & 
% 0.59/0.86          ( ![X8:iS,X10:iS,X12:iS,X14:iS]:
% 0.59/0.86            ( ( ( cP @ X8 @ X12 ) = ( cP @ X10 @ X14 ) ) =>
% 0.59/0.86              ( ( ( X8 ) = ( X10 ) ) & ( ( X12 ) = ( X14 ) ) ) ) ) & 
% 0.59/0.86          ( ![X16:( iS > $o )]:
% 0.59/0.86            ( ( ( X16 @ c0 ) & 
% 0.59/0.86                ( ![X18:iS,X20:iS]:
% 0.59/0.86                  ( ( ( X16 @ X18 ) & ( X16 @ X20 ) ) =>
% 0.59/0.86                    ( X16 @ ( cP @ X18 @ X20 ) ) ) ) ) =>
% 0.59/0.86              ( ![X22:iS]: ( X16 @ X22 ) ) ) ) ) =>
% 0.59/0.86        ( ( ![V_2:iS]: ( ( zip_tseitin_1 @ V_2 ) <=> ( ( c0 ) = ( V_2 ) ) ) ) & 
% 0.59/0.86          ( ![V_4:iS]: ( ( zip_tseitin_0 @ V_4 ) <=> ( ( c0 ) = ( V_4 ) ) ) ) ) )),
% 0.59/0.86    inference('cnf.neg', [status(esa)], [zf_stmt_5])).
% 0.59/0.86  thf(zip_derived_cl6, plain, (![X0 : iS, X1 : iS]: ((cP @ X0 @ X1) != (c0))),
% 0.59/0.86      inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.86  thf(zip_derived_cl81, plain,
% 0.59/0.86      (![X0 : iS]: (((X0) = (c0)) | ~ (zip_tseitin_1 @ X0))),
% 0.59/0.86      inference('simplify_reflect-', [status(thm)],
% 0.59/0.86                [zip_derived_cl3, zip_derived_cl6])).
% 0.59/0.86  thf(zip_derived_cl14, plain,
% 0.59/0.86      (( (zip_tseitin_1 @ sk__2)
% 0.59/0.86        | ((c0) = (sk__2))
% 0.59/0.86        | ((c0) != (sk__3))
% 0.59/0.86        | ~ (zip_tseitin_0 @ sk__3))),
% 0.59/0.86      inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.86  thf(zip_derived_cl20, plain,
% 0.59/0.86      (( (zip_tseitin_1 @ sk__2)
% 0.59/0.86        | ((c0) = (sk__2))
% 0.59/0.86        | ((c0) != (sk__3))
% 0.59/0.86        | ~ (zip_tseitin_0 @ c0))),
% 0.59/0.86      inference('local_rewriting', [status(thm)], [zip_derived_cl14])).
% 0.59/0.86  thf(zip_derived_cl1, plain,
% 0.59/0.86      (![X0 : iS]: ( (zip_tseitin_0 @ X0) | ((X0) != (c0)))),
% 0.59/0.86      inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/0.86  thf(zip_derived_cl16, plain, ( (zip_tseitin_0 @ c0)),
% 0.59/0.86      inference('simplify', [status(thm)], [zip_derived_cl1])).
% 0.59/0.86  thf(zip_derived_cl21, plain,
% 0.59/0.86      (( (zip_tseitin_1 @ sk__2) | ((c0) = (sk__2)) | ((c0) != (sk__3)))),
% 0.59/0.86      inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl16])).
% 0.59/0.86  thf(zip_derived_cl15, plain,
% 0.59/0.86      (( (zip_tseitin_1 @ sk__2)
% 0.59/0.86        | ((c0) = (sk__2))
% 0.59/0.86        | ((c0) = (sk__3))
% 0.59/0.86        |  (zip_tseitin_0 @ sk__3))),
% 0.59/0.86      inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.86  thf(zip_derived_cl81, plain,
% 0.59/0.86      (![X0 : iS]: (((X0) = (c0)) | ~ (zip_tseitin_1 @ X0))),
% 0.59/0.86      inference('simplify_reflect-', [status(thm)],
% 0.59/0.86                [zip_derived_cl3, zip_derived_cl6])).
% 0.59/0.86  thf(zip_derived_cl85, plain,
% 0.59/0.86      (( (zip_tseitin_0 @ sk__3)
% 0.59/0.86        | ((c0) = (sk__3))
% 0.59/0.86        | ((c0) = (sk__2))
% 0.59/0.86        | ((sk__2) = (c0)))),
% 0.59/0.86      inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl81])).
% 0.59/0.86  thf(zip_derived_cl94, plain,
% 0.59/0.86      ((((c0) = (sk__2)) | ((c0) = (sk__3)) |  (zip_tseitin_0 @ sk__3))),
% 0.59/0.86      inference('simplify', [status(thm)], [zip_derived_cl85])).
% 0.59/0.86  thf(zip_derived_cl13, plain,
% 0.59/0.86      ((~ (zip_tseitin_1 @ sk__2)
% 0.59/0.86        | ((c0) != (sk__2))
% 0.59/0.86        | ((c0) = (sk__3))
% 0.59/0.86        |  (zip_tseitin_0 @ sk__3))),
% 0.59/0.86      inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.86  thf(zip_derived_cl18, plain,
% 0.59/0.86      ((~ (zip_tseitin_1 @ c0)
% 0.59/0.86        | ((c0) != (sk__2))
% 0.59/0.86        | ((c0) = (sk__3))
% 0.59/0.86        |  (zip_tseitin_0 @ sk__3))),
% 0.59/0.86      inference('local_rewriting', [status(thm)], [zip_derived_cl13])).
% 0.59/0.86  thf(zip_derived_cl4, plain,
% 0.59/0.86      (![X0 : iS]: ( (zip_tseitin_1 @ X0) | ((X0) != (c0)))),
% 0.59/0.86      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.86  thf(zip_derived_cl17, plain, ( (zip_tseitin_1 @ c0)),
% 0.59/0.86      inference('simplify', [status(thm)], [zip_derived_cl4])).
% 0.59/0.86  thf(zip_derived_cl19, plain,
% 0.59/0.86      ((((c0) != (sk__2)) | ((c0) = (sk__3)) |  (zip_tseitin_0 @ sk__3))),
% 0.59/0.86      inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl17])).
% 0.59/0.86  thf(zip_derived_cl104, plain,
% 0.59/0.86      (( (zip_tseitin_0 @ sk__3) | ((c0) = (sk__3)))),
% 0.59/0.86      inference('clc', [status(thm)], [zip_derived_cl94, zip_derived_cl19])).
% 0.59/0.86  thf(zip_derived_cl0, plain,
% 0.59/0.86      (![X0 : iS]:
% 0.59/0.86         (((c0) = (cP @ (sk_ @ X0) @ X0))
% 0.59/0.86          | ((X0) = (c0))
% 0.59/0.86          | ~ (zip_tseitin_0 @ X0))),
% 0.59/0.86      inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/0.86  thf(zip_derived_cl105, plain,
% 0.59/0.86      ((((c0) = (sk__3))
% 0.59/0.86        | ((sk__3) = (c0))
% 0.59/0.86        | ((c0) = (cP @ (sk_ @ sk__3) @ sk__3)))),
% 0.59/0.86      inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 0.59/0.86  thf(zip_derived_cl110, plain,
% 0.59/0.86      ((((c0) = (cP @ (sk_ @ sk__3) @ sk__3)) | ((c0) = (sk__3)))),
% 0.59/0.86      inference('simplify', [status(thm)], [zip_derived_cl105])).
% 0.59/0.86  thf(zip_derived_cl6, plain, (![X0 : iS, X1 : iS]: ((cP @ X0 @ X1) != (c0))),
% 0.59/0.86      inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.86  thf(zip_derived_cl111, plain, (((c0) = (sk__3))),
% 0.59/0.86      inference('simplify_reflect-', [status(thm)],
% 0.59/0.86                [zip_derived_cl110, zip_derived_cl6])).
% 0.59/0.86  thf(zip_derived_cl115, plain,
% 0.59/0.86      (( (zip_tseitin_1 @ sk__2) | ((c0) = (sk__2)) | ((c0) != (c0)))),
% 0.59/0.86      inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl111])).
% 0.59/0.86  thf(zip_derived_cl116, plain,
% 0.59/0.86      ((((c0) = (sk__2)) |  (zip_tseitin_1 @ sk__2))),
% 0.59/0.86      inference('simplify', [status(thm)], [zip_derived_cl115])).
% 0.59/0.86  thf(zip_derived_cl12, plain,
% 0.59/0.86      ((~ (zip_tseitin_1 @ sk__2)
% 0.59/0.86        | ((c0) != (sk__2))
% 0.59/0.86        | ((c0) != (sk__3))
% 0.59/0.86        | ~ (zip_tseitin_0 @ sk__3))),
% 0.59/0.86      inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.86  thf(zip_derived_cl24, plain,
% 0.59/0.86      ((~ (zip_tseitin_1 @ c0)
% 0.59/0.86        | ((c0) != (sk__2))
% 0.59/0.86        | ((c0) != (sk__3))
% 0.59/0.86        | ~ (zip_tseitin_0 @ c0))),
% 0.59/0.86      inference('local_rewriting', [status(thm)], [zip_derived_cl12])).
% 0.59/0.86  thf(zip_derived_cl17, plain, ( (zip_tseitin_1 @ c0)),
% 0.59/0.86      inference('simplify', [status(thm)], [zip_derived_cl4])).
% 0.59/0.86  thf(zip_derived_cl16, plain, ( (zip_tseitin_0 @ c0)),
% 0.59/0.86      inference('simplify', [status(thm)], [zip_derived_cl1])).
% 0.59/0.86  thf(zip_derived_cl25, plain, ((((c0) != (sk__2)) | ((c0) != (sk__3)))),
% 0.59/0.86      inference('demod', [status(thm)],
% 0.59/0.86                [zip_derived_cl24, zip_derived_cl17, zip_derived_cl16])).
% 0.59/0.86  thf(zip_derived_cl111, plain, (((c0) = (sk__3))),
% 0.59/0.86      inference('simplify_reflect-', [status(thm)],
% 0.59/0.86                [zip_derived_cl110, zip_derived_cl6])).
% 0.59/0.86  thf(zip_derived_cl117, plain, ((((c0) != (sk__2)) | ((c0) != (c0)))),
% 0.59/0.86      inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl111])).
% 0.59/0.86  thf(zip_derived_cl118, plain, (((c0) != (sk__2))),
% 0.59/0.86      inference('simplify', [status(thm)], [zip_derived_cl117])).
% 0.59/0.86  thf(zip_derived_cl121, plain, ( (zip_tseitin_1 @ sk__2)),
% 0.59/0.86      inference('simplify_reflect-', [status(thm)],
% 0.59/0.86                [zip_derived_cl116, zip_derived_cl118])).
% 0.59/0.86  thf(zip_derived_cl124, plain, (((sk__2) = (c0))),
% 0.59/0.86      inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl121])).
% 0.59/0.86  thf(zip_derived_cl118, plain, (((c0) != (sk__2))),
% 0.59/0.86      inference('simplify', [status(thm)], [zip_derived_cl117])).
% 0.59/0.86  thf(zip_derived_cl128, plain, ($false),
% 0.59/0.86      inference('simplify_reflect-', [status(thm)],
% 0.59/0.86                [zip_derived_cl124, zip_derived_cl118])).
% 0.59/0.86  
% 0.59/0.86  % SZS output end Refutation
% 0.59/0.86  
% 0.59/0.86  
% 0.59/0.86  % Terminating...
% 0.63/0.99  % Runner terminated.
% 0.63/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------