%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO539^1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gDdMb5PHjg true
% Computer : n004.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 05:07:53 PM UTC 2025
% Result : Theorem 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO539^1 : TPTP v9.2.0. Released v5.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gDdMb5PHjg true
% 0.12/0.33 % Computer : n004.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 18:05:53 EDT 2025
% 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
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.53/0.64 % Total configuration time : 828
% 0.53/0.64 % Estimated wc time : 1656
% 0.53/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.76 % Solved by lams/40_c_ic.sh.
% 0.55/0.76 % done 21 iterations in 0.034s
% 0.55/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.76 % SZS output start Refutation
% 0.55/0.76 thf(sk__1_type, type, sk__1: $i).
% 0.55/0.76 thf(zip_tseitin_0_type, type, zip_tseitin_0: $o).
% 0.55/0.76 thf(eps_type, type, eps: ($i > $o) > $i).
% 0.55/0.76 thf(sk__2_type, type, sk__2: $i).
% 0.55/0.76 thf(zip_tseitin_1_type, type, zip_tseitin_1: $o).
% 0.55/0.76 thf(if_type, type, if: $o > $i > $i > $i).
% 0.55/0.76 thf(sk__type, type, sk_: $o).
% 0.55/0.76 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
% 0.55/0.76 thf(choiceax, axiom,
% 0.55/0.76 (![P:( $i > $o )]: ( ( ?[X:$i]: ( P @ X ) ) => ( P @ ( eps @ P ) ) ))).
% 0.55/0.76 thf(zip_derived_cl0, plain,
% 0.55/0.76 (![X0 : $i > $o, X1 : $i]: ( (X0 @ (eps @ X0)) | ~ (X0 @ X1))),
% 0.55/0.76 inference('cnf', [status(esa)], [choiceax])).
% 0.55/0.76 thf(ifd, axiom,(( if ) =
% 0.55/0.76 (^[B:$o,X:$i,Y:$i]:
% 0.55/0.76 ( eps @
% 0.55/0.76 ( ^[Z:$i]:
% 0.55/0.76 ( ( ( B ) & ( ( Z ) = ( X ) ) ) | ( ( ~( B ) ) & ( ( Z ) = ( Y ) ) ) ) ) )))).
% 0.55/0.76 thf('0', plain,
% 0.55/0.76 (( if ) =
% 0.55/0.76 ( ^[B:$o,X:$i,Y:$i]:
% 0.55/0.76 ( eps @
% 0.55/0.76 ( ^[Z:$i]:
% 0.55/0.76 ( ( ( B ) & ( ( Z ) = ( X ) ) ) |
% 0.55/0.76 ( ( ~( B ) ) & ( ( Z ) = ( Y ) ) ) ) ) ) )),
% 0.55/0.76 inference('simplify_rw_rule', [status(thm)], [ifd])).
% 0.55/0.76 thf('1', plain,
% 0.55/0.76 (( if ) =
% 0.55/0.76 ( ^[V_1:$o,V_2:$i,V_3:$i]:
% 0.55/0.76 ( eps @
% 0.55/0.76 ( ^[V_4:$i]:
% 0.55/0.76 ( ( ( V_1 ) & ( ( V_4 ) = ( V_2 ) ) ) |
% 0.55/0.76 ( ( ~( V_1 ) ) & ( ( V_4 ) = ( V_3 ) ) ) ) ) ) )),
% 0.55/0.76 define([status(thm)])).
% 0.55/0.76 thf(conj, conjecture,
% 0.55/0.76 (![B:$o,X:$i,Y:$i]:
% 0.55/0.76 ( ( ( if @ B @ X @ Y ) = ( Y ) ) | ( ( if @ B @ X @ Y ) = ( X ) ) ))).
% 0.55/0.76 thf(zf_stmt_0, conjecture,
% 0.55/0.76 (![X4:$o,X6:$i,X8:$i]:
% 0.55/0.76 ( ( ( eps @
% 0.55/0.76 ( ^[V_1:$i]:
% 0.55/0.76 ( ( ( ( V_1 ) = ( X8 ) ) & ( ~( X4 ) ) ) |
% 0.55/0.76 ( ( ( V_1 ) = ( X6 ) ) & ( X4 ) ) ) ) ) =
% 0.55/0.76 ( X8 ) ) |
% 0.55/0.76 ( ( eps @
% 0.55/0.76 ( ^[V_2:$i]:
% 0.55/0.76 ( ( ( ( V_2 ) = ( X8 ) ) & ( ~( X4 ) ) ) |
% 0.55/0.76 ( ( ( V_2 ) = ( X6 ) ) & ( X4 ) ) ) ) ) =
% 0.55/0.76 ( X6 ) ) ))).
% 0.55/0.76 thf(zf_stmt_1, negated_conjecture,
% 0.55/0.76 (~( ![X4:$o,X6:$i,X8:$i]:
% 0.55/0.76 ( ( ( eps @
% 0.55/0.76 ( ^[V_1:$i]:
% 0.55/0.76 ( ( ( ( V_1 ) = ( X8 ) ) & ( ~( X4 ) ) ) |
% 0.55/0.76 ( ( ( V_1 ) = ( X6 ) ) & ( X4 ) ) ) ) ) =
% 0.55/0.76 ( X8 ) ) |
% 0.55/0.76 ( ( eps @
% 0.55/0.76 ( ^[V_2:$i]:
% 0.55/0.76 ( ( ( ( V_2 ) = ( X8 ) ) & ( ~( X4 ) ) ) |
% 0.55/0.76 ( ( ( V_2 ) = ( X6 ) ) & ( X4 ) ) ) ) ) =
% 0.55/0.76 ( X6 ) ) ) )),
% 0.55/0.76 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 0.55/0.76 thf(zip_derived_cl1, plain,
% 0.55/0.76 (((eps @
% 0.55/0.76 (^[Y0 : $i]:
% 0.55/0.76 (((((((Y0) = (sk__2))) & (((~) @ sk_)))) |
% 0.55/0.76 (((((Y0) = (sk__1))) & (sk_)))))))
% 0.55/0.76 != (sk__1))),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.76 thf(zip_derived_cl4, plain,
% 0.55/0.76 (![X2 : $i]:
% 0.55/0.76 (~ (((((((X2) = (sk__2))) & (((~) @ sk_)))) |
% 0.55/0.76 (((((X2) = (sk__1))) & (sk_)))))
% 0.55/0.76 | (((((((eps @
% 0.55/0.76 (^[Y0 : $i]:
% 0.55/0.76 (((((((Y0) = (sk__2))) & (((~) @ sk_)))) |
% 0.55/0.76 (((((Y0) = (sk__1))) & (sk_))))))) =
% 0.55/0.76 (sk__2))) &
% 0.55/0.76 (((~) @ sk_)))) |
% 0.55/0.76 (((((eps @
% 0.55/0.76 (^[Y0 : $i]:
% 0.55/0.76 (((((((Y0) = (sk__2))) & (((~) @ sk_)))) |
% 0.55/0.76 (((((Y0) = (sk__1))) & (sk_))))))) =
% 0.55/0.76 (sk__1))) &
% 0.55/0.76 (sk_))))))),
% 0.55/0.76 inference('inst_choice(((^[Y0 : $i]:
% 0.55/0.76 (((((((Y0) = (sk__2))) & (((~) @ sk_)))) |
% 0.55/0.76 (((((Y0) = (sk__1))) & (sk_))))))))',
% 0.55/0.76 [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.55/0.76 thf(zip_derived_cl16, plain,
% 0.55/0.76 ((((eps @
% 0.55/0.76 (^[Y0 : $i]:
% 0.55/0.76 (((((sk_) & (((Y0) = (sk__1))))) |
% 0.55/0.76 (((((~) @ sk_)) & (((Y0) = (sk__2)))))))))
% 0.55/0.76 = (sk__1))
% 0.55/0.76 | ~ (zip_tseitin_1))),
% 0.55/0.76 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 0.55/0.76 thf(zip_derived_cl1, plain,
% 0.55/0.76 (((eps @
% 0.55/0.76 (^[Y0 : $i]:
% 0.55/0.76 (((((((Y0) = (sk__2))) & (((~) @ sk_)))) |
% 0.55/0.76 (((((Y0) = (sk__1))) & (sk_)))))))
% 0.55/0.76 != (sk__1))),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.76 thf(zip_derived_cl59, plain, ((((sk__1) != (sk__1)) | ~ (zip_tseitin_1))),
% 0.55/0.76 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.55/0.76 thf(zip_derived_cl62, plain, (~ (zip_tseitin_1)),
% 0.55/0.76 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 0.55/0.76 thf(zip_derived_cl20, plain,
% 0.55/0.76 (![X0 : $i]:
% 0.55/0.76 ( (zip_tseitin_1) | (zip_tseitin_0) | ~ (zip_tseitin_2 @ X0))),
% 0.55/0.76 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 0.55/0.76 thf(zip_derived_cl14, plain,
% 0.55/0.76 ((((eps @
% 0.55/0.76 (^[Y0 : $i]:
% 0.55/0.76 (((((sk_) & (((Y0) = (sk__1))))) |
% 0.55/0.76 (((((~) @ sk_)) & (((Y0) = (sk__2)))))))))
% 0.55/0.76 = (sk__2))
% 0.55/0.76 | ~ (zip_tseitin_0))),
% 0.55/0.76 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 0.55/0.76 thf(zip_derived_cl2, plain,
% 0.55/0.76 (((eps @
% 0.55/0.76 (^[Y0 : $i]:
% 0.55/0.76 (((((((Y0) = (sk__2))) & (((~) @ sk_)))) |
% 0.55/0.76 (((((Y0) = (sk__1))) & (sk_)))))))
% 0.55/0.76 != (sk__2))),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.76 thf(zip_derived_cl23, plain, ((((sk__2) != (sk__2)) | ~ (zip_tseitin_0))),
% 0.55/0.76 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl2])).
% 0.55/0.76 thf(zip_derived_cl27, plain, (~ (zip_tseitin_0)),
% 0.55/0.76 inference('simplify', [status(thm)], [zip_derived_cl23])).
% 0.55/0.76 thf(zip_derived_cl29, plain,
% 0.55/0.76 (![X0 : $i]: ( (zip_tseitin_1) | ~ (zip_tseitin_2 @ X0))),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl27])).
% 0.55/0.76 thf(zip_derived_cl19, plain,
% 0.55/0.76 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ((X0) != (sk__1)) | ~ (sk_))),
% 0.55/0.76 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 0.55/0.76 thf(zip_derived_cl22, plain, ((~ (sk_) | (zip_tseitin_2 @ sk__1))),
% 0.55/0.76 inference('simplify', [status(thm)], [zip_derived_cl19])).
% 0.55/0.76 thf(zip_derived_cl31, plain, (( (zip_tseitin_1) | ~ (sk_))),
% 0.55/0.76 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl22])).
% 0.55/0.76 thf(zip_derived_cl29, plain,
% 0.55/0.76 (![X0 : $i]: ( (zip_tseitin_1) | ~ (zip_tseitin_2 @ X0))),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl27])).
% 0.55/0.76 thf(zip_derived_cl18, plain,
% 0.55/0.76 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ((X0) != (sk__2)) | (sk_))),
% 0.55/0.76 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 0.55/0.76 thf(zip_derived_cl21, plain, (( (sk_) | (zip_tseitin_2 @ sk__2))),
% 0.55/0.76 inference('simplify', [status(thm)], [zip_derived_cl18])).
% 0.55/0.76 thf(zip_derived_cl30, plain, (( (zip_tseitin_1) | (sk_))),
% 0.55/0.76 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl21])).
% 0.55/0.76 thf(zip_derived_cl17, plain, (( (sk_) | ~ (zip_tseitin_1))),
% 0.55/0.76 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 0.55/0.76 thf(zip_derived_cl91, plain, ( (sk_)),
% 0.55/0.76 inference('clc', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 0.55/0.76 thf(zip_derived_cl99, plain, ( (zip_tseitin_1)),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl91])).
% 0.55/0.76 thf(zip_derived_cl106, plain, ($false),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl99])).
% 0.55/0.76
% 0.55/0.76 % SZS output end Refutation
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 % Terminating...
% 1.73/0.84 % Runner terminated.
% 1.73/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------