%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN417+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hqJHDNONhA true
% Computer : n023.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 05:04:46 PM UTC 2025
% Result : Theorem 0.49s 0.75s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SYN417+1 : TPTP v9.2.0. Released v2.0.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hqJHDNONhA true
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 13:34:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.45/0.56 % Total configuration time : 435
% 0.45/0.57 % Estimated wc time : 1092
% 0.45/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.75 % Solved by fo/fo3_bce.sh.
% 0.49/0.75 % BCE start: 10
% 0.49/0.75 % BCE eliminated: 0
% 0.49/0.75 % PE start: 10
% 0.49/0.75 logic: eq
% 0.49/0.75 % PE eliminated: -1
% 0.49/0.75 % done 75 iterations in 0.042s
% 0.49/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.75 % SZS output start Refutation
% 0.49/0.75 thf(f_type, type, f: $i > $i).
% 0.49/0.75 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $o).
% 0.49/0.75 thf(sk__1_type, type, sk__1: $i > $i).
% 0.49/0.75 thf(g_type, type, g: $i > $i).
% 0.49/0.75 thf(sk__2_type, type, sk__2: $i).
% 0.49/0.75 thf(sk__3_type, type, sk__3: $i).
% 0.49/0.75 thf(sk__type, type, sk_: $i > $i).
% 0.49/0.75 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $o).
% 0.49/0.75 thf(cute, conjecture,
% 0.49/0.75 (( ?[X:$i]:
% 0.49/0.75 ( ( ( X ) = ( f @ ( g @ X ) ) ) &
% 0.49/0.75 ( ![Y:$i]: ( ( ( Y ) = ( f @ ( g @ Y ) ) ) => ( ( X ) = ( Y ) ) ) ) ) ) <=>
% 0.49/0.75 ( ?[X:$i]:
% 0.49/0.75 ( ( ( X ) = ( g @ ( f @ X ) ) ) &
% 0.49/0.75 ( ![Y:$i]: ( ( ( Y ) = ( g @ ( f @ Y ) ) ) => ( ( X ) = ( Y ) ) ) ) ) ))).
% 0.49/0.75 thf(zf_stmt_0, type, zip_tseitin_1 : $i > $o).
% 0.49/0.75 thf(zf_stmt_1, axiom,
% 0.49/0.75 (![X:$i]:
% 0.49/0.75 ( ( zip_tseitin_1 @ X ) <=>
% 0.49/0.75 ( ( ![Y:$i]: ( ( ( Y ) = ( g @ ( f @ Y ) ) ) => ( ( X ) = ( Y ) ) ) ) &
% 0.49/0.75 ( ( X ) = ( g @ ( f @ X ) ) ) ) ))).
% 0.49/0.75 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $o).
% 0.49/0.75 thf(zf_stmt_3, axiom,
% 0.49/0.75 (![X:$i]:
% 0.49/0.75 ( ( zip_tseitin_0 @ X ) <=>
% 0.49/0.75 ( ( ![Y:$i]: ( ( ( Y ) = ( f @ ( g @ Y ) ) ) => ( ( X ) = ( Y ) ) ) ) &
% 0.49/0.75 ( ( X ) = ( f @ ( g @ X ) ) ) ) ))).
% 0.49/0.75 thf(zf_stmt_4, conjecture,
% 0.49/0.75 (( ?[X:$i]: ( zip_tseitin_0 @ X ) ) <=> ( ?[X:$i]: ( zip_tseitin_1 @ X ) ))).
% 0.49/0.75 thf(zf_stmt_5, negated_conjecture,
% 0.49/0.75 (~( ( ?[X:$i]: ( zip_tseitin_0 @ X ) ) <=>
% 0.49/0.75 ( ?[X:$i]: ( zip_tseitin_1 @ X ) ) )),
% 0.49/0.75 inference('cnf.neg', [status(esa)], [zf_stmt_4])).
% 0.49/0.75 thf(zip_derived_cl8, plain,
% 0.49/0.75 (( (zip_tseitin_1 @ sk__2) | (zip_tseitin_0 @ sk__3))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.75 thf(zip_derived_cl1, plain,
% 0.49/0.75 (![X0 : $i]: (((X0) = (f @ (g @ X0))) | ~ (zip_tseitin_0 @ X0))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.75 thf(zip_derived_cl49, plain,
% 0.49/0.75 (( (zip_tseitin_1 @ sk__2) | ((sk__3) = (f @ (g @ sk__3))))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl8, zip_derived_cl1])).
% 0.49/0.75 thf(zip_derived_cl5, plain,
% 0.49/0.75 (![X0 : $i]: (((X0) = (g @ (f @ X0))) | ~ (zip_tseitin_1 @ X0))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.75 thf(zip_derived_cl57, plain,
% 0.49/0.75 ((((sk__3) = (f @ (g @ sk__3))) | ((sk__2) = (g @ (f @ sk__2))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl5])).
% 0.49/0.75 thf(zip_derived_cl49, plain,
% 0.49/0.75 (( (zip_tseitin_1 @ sk__2) | ((sk__3) = (f @ (g @ sk__3))))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl8, zip_derived_cl1])).
% 0.49/0.75 thf(zip_derived_cl49, plain,
% 0.49/0.75 (( (zip_tseitin_1 @ sk__2) | ((sk__3) = (f @ (g @ sk__3))))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl8, zip_derived_cl1])).
% 0.49/0.75 thf(zip_derived_cl2, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 ( (zip_tseitin_0 @ X0)
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((sk_ @ X0) = (f @ (g @ (sk_ @ X0)))))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.75 thf(zip_derived_cl9, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]: (~ (zip_tseitin_1 @ X0) | ~ (zip_tseitin_0 @ X1))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.75 thf(zip_derived_cl44, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((sk_ @ X0) = (f @ (g @ (sk_ @ X0))))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ~ (zip_tseitin_1 @ X1))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl2, zip_derived_cl9])).
% 0.49/0.75 thf(zip_derived_cl72, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((sk_ @ X0) = (f @ (g @ (sk_ @ X0)))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl44])).
% 0.49/0.75 thf(zip_derived_cl4, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((X0) != (g @ (f @ X0))) | ((X1) = (X0)) | ~ (zip_tseitin_1 @ X1))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.75 thf(zip_derived_cl141, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((g @ (sk_ @ X0)) != (g @ (sk_ @ X0)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ~ (zip_tseitin_1 @ X1)
% 0.49/0.75 | ((X1) = (g @ (sk_ @ X0))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl4])).
% 0.49/0.75 thf(zip_derived_cl146, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((X1) = (g @ (sk_ @ X0)))
% 0.49/0.75 | ~ (zip_tseitin_1 @ X1)
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0))))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 0.49/0.75 thf(zip_derived_cl153, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((sk__2) = (g @ (sk_ @ X0))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl146])).
% 0.49/0.75 thf(zip_derived_cl155, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk__2) = (g @ (sk_ @ X0)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3))))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl153])).
% 0.49/0.75 thf(zip_derived_cl72, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((sk_ @ X0) = (f @ (g @ (sk_ @ X0)))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl44])).
% 0.49/0.75 thf(zip_derived_cl161, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk_ @ X0) = (f @ sk__2))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3))))),
% 0.49/0.75 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl72])).
% 0.49/0.75 thf(zip_derived_cl165, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((sk_ @ X0) = (f @ sk__2)))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl161])).
% 0.49/0.75 thf(zip_derived_cl49, plain,
% 0.49/0.75 (( (zip_tseitin_1 @ sk__2) | ((sk__3) = (f @ (g @ sk__3))))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl8, zip_derived_cl1])).
% 0.49/0.75 thf(zip_derived_cl3, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 ( (zip_tseitin_0 @ X0)
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((X0) != (sk_ @ X0)))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.75 thf(zip_derived_cl9, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]: (~ (zip_tseitin_1 @ X0) | ~ (zip_tseitin_0 @ X1))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.75 thf(zip_derived_cl47, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((X0) != (sk_ @ X0))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ~ (zip_tseitin_1 @ X1))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl3, zip_derived_cl9])).
% 0.49/0.75 thf(zip_derived_cl56, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((X0) != (sk_ @ X0)))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl47])).
% 0.49/0.75 thf(zip_derived_cl166, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (f @ sk__2))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl56])).
% 0.49/0.75 thf(zip_derived_cl171, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((X0) != (f @ sk__2)))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl166])).
% 0.49/0.75 thf(zip_derived_cl180, plain,
% 0.49/0.75 ((((f @ sk__2) != (f @ sk__2))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3)))
% 0.49/0.75 | ((f @ sk__2) != (f @ sk__2))
% 0.49/0.75 | ((sk__3) = (f @ (g @ sk__3))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl171])).
% 0.49/0.75 thf(zip_derived_cl185, plain, (((sk__3) = (f @ (g @ sk__3)))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl180])).
% 0.49/0.75 thf(zip_derived_cl4, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((X0) != (g @ (f @ X0))) | ((X1) = (X0)) | ~ (zip_tseitin_1 @ X1))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.75 thf(zip_derived_cl190, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((g @ sk__3) != (g @ sk__3))
% 0.49/0.75 | ~ (zip_tseitin_1 @ X0)
% 0.49/0.75 | ((X0) = (g @ sk__3)))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl4])).
% 0.49/0.75 thf(zip_derived_cl195, plain,
% 0.49/0.75 (![X0 : $i]: (((X0) = (g @ sk__3)) | ~ (zip_tseitin_1 @ X0))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.49/0.75 thf(zip_derived_cl185, plain, (((sk__3) = (f @ (g @ sk__3)))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl180])).
% 0.49/0.75 thf(zip_derived_cl6, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 ( (zip_tseitin_1 @ X0)
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | ((sk__1 @ X0) = (g @ (f @ (sk__1 @ X0)))))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.75 thf(zip_derived_cl8, plain,
% 0.49/0.75 (( (zip_tseitin_1 @ sk__2) | (zip_tseitin_0 @ sk__3))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.75 thf(zip_derived_cl0, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((X0) != (f @ (g @ X0))) | ((X1) = (X0)) | ~ (zip_tseitin_0 @ X1))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.75 thf(zip_derived_cl48, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 ( (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((sk__3) = (X0))
% 0.49/0.75 | ((X0) != (f @ (g @ X0))))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl8, zip_derived_cl0])).
% 0.49/0.75 thf(zip_derived_cl52, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((f @ (sk__1 @ X0)) != (f @ (sk__1 @ X0)))
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ X0)
% 0.49/0.75 | ((sk__3) = (f @ (sk__1 @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl48])).
% 0.49/0.75 thf(zip_derived_cl54, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 ( (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((sk__3) = (f @ (sk__1 @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ X0)
% 0.49/0.75 | ((X0) != (g @ (f @ X0))))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl52])).
% 0.49/0.75 thf(zip_derived_cl8, plain,
% 0.49/0.75 (( (zip_tseitin_1 @ sk__2) | (zip_tseitin_0 @ sk__3))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.75 thf(zip_derived_cl9, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]: (~ (zip_tseitin_1 @ X0) | ~ (zip_tseitin_0 @ X1))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.75 thf(zip_derived_cl50, plain,
% 0.49/0.75 (![X0 : $i]: ( (zip_tseitin_1 @ sk__2) | ~ (zip_tseitin_1 @ X0))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl8, zip_derived_cl9])).
% 0.49/0.75 thf(zip_derived_cl78, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (g @ (f @ X0)))
% 0.49/0.75 | ((sk__3) = (f @ (sk__1 @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2))),
% 0.49/0.75 inference('clc', [status(thm)], [zip_derived_cl54, zip_derived_cl50])).
% 0.49/0.75 thf(zip_derived_cl78, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (g @ (f @ X0)))
% 0.49/0.75 | ((sk__3) = (f @ (sk__1 @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2))),
% 0.49/0.75 inference('clc', [status(thm)], [zip_derived_cl54, zip_derived_cl50])).
% 0.49/0.75 thf(zip_derived_cl6, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 ( (zip_tseitin_1 @ X0)
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | ((sk__1 @ X0) = (g @ (f @ (sk__1 @ X0)))))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.75 thf(zip_derived_cl80, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk__1 @ X0) = (g @ sk__3))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ X0))),
% 0.49/0.75 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl6])).
% 0.49/0.75 thf(zip_derived_cl82, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 ( (zip_tseitin_1 @ X0)
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((sk__1 @ X0) = (g @ sk__3)))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl80])).
% 0.49/0.75 thf(zip_derived_cl50, plain,
% 0.49/0.75 (![X0 : $i]: ( (zip_tseitin_1 @ sk__2) | ~ (zip_tseitin_1 @ X0))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl8, zip_derived_cl9])).
% 0.49/0.75 thf(zip_derived_cl85, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk__1 @ X0) = (g @ sk__3))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((X0) != (g @ (f @ X0))))),
% 0.49/0.75 inference('clc', [status(thm)], [zip_derived_cl82, zip_derived_cl50])).
% 0.49/0.75 thf(zip_derived_cl7, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 ( (zip_tseitin_1 @ X0)
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | ((X0) != (sk__1 @ X0)))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.75 thf(zip_derived_cl87, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (g @ sk__3))
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ X0))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl7])).
% 0.49/0.75 thf(zip_derived_cl90, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 ( (zip_tseitin_1 @ X0)
% 0.49/0.75 | (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | ((X0) != (g @ sk__3)))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl87])).
% 0.49/0.75 thf(zip_derived_cl50, plain,
% 0.49/0.75 (![X0 : $i]: ( (zip_tseitin_1 @ sk__2) | ~ (zip_tseitin_1 @ X0))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl8, zip_derived_cl9])).
% 0.49/0.75 thf(zip_derived_cl92, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (g @ sk__3))
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2))),
% 0.49/0.75 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl50])).
% 0.49/0.75 thf(zip_derived_cl95, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk__1 @ X0) != (g @ sk__3))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((X0) != (g @ (f @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((sk__1 @ X0) != (g @ sk__3)))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl92])).
% 0.49/0.75 thf(zip_derived_cl99, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (g @ (f @ X0)))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((sk__1 @ X0) != (g @ sk__3)))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl95])).
% 0.49/0.75 thf(zip_derived_cl85, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk__1 @ X0) = (g @ sk__3))
% 0.49/0.75 | (zip_tseitin_1 @ sk__2)
% 0.49/0.75 | ((X0) != (g @ (f @ X0))))),
% 0.49/0.75 inference('clc', [status(thm)], [zip_derived_cl82, zip_derived_cl50])).
% 0.49/0.75 thf(zip_derived_cl121, plain,
% 0.49/0.75 (![X0 : $i]: ( (zip_tseitin_1 @ sk__2) | ((X0) != (g @ (f @ X0))))),
% 0.49/0.75 inference('clc', [status(thm)], [zip_derived_cl99, zip_derived_cl85])).
% 0.49/0.75 thf(zip_derived_cl191, plain,
% 0.49/0.75 ((((g @ sk__3) != (g @ sk__3)) | (zip_tseitin_1 @ sk__2))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl121])).
% 0.49/0.75 thf(zip_derived_cl196, plain, ( (zip_tseitin_1 @ sk__2)),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl191])).
% 0.49/0.75 thf(zip_derived_cl219, plain, (((sk__2) = (g @ sk__3))),
% 0.49/0.75 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl196])).
% 0.49/0.75 thf(zip_derived_cl196, plain, ( (zip_tseitin_1 @ sk__2)),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl191])).
% 0.49/0.75 thf(zip_derived_cl196, plain, ( (zip_tseitin_1 @ sk__2)),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl191])).
% 0.49/0.75 thf(zip_derived_cl44, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((sk_ @ X0) = (f @ (g @ (sk_ @ X0))))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ~ (zip_tseitin_1 @ X1))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl2, zip_derived_cl9])).
% 0.49/0.75 thf(zip_derived_cl200, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (f @ (g @ X0))) | ((sk_ @ X0) = (f @ (g @ (sk_ @ X0)))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl44])).
% 0.49/0.75 thf(zip_derived_cl4, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((X0) != (g @ (f @ X0))) | ((X1) = (X0)) | ~ (zip_tseitin_1 @ X1))),
% 0.49/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.75 thf(zip_derived_cl248, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((g @ (sk_ @ X0)) != (g @ (sk_ @ X0)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ~ (zip_tseitin_1 @ X1)
% 0.49/0.75 | ((X1) = (g @ (sk_ @ X0))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl200, zip_derived_cl4])).
% 0.49/0.75 thf(zip_derived_cl249, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((X1) = (g @ (sk_ @ X0)))
% 0.49/0.75 | ~ (zip_tseitin_1 @ X1)
% 0.49/0.75 | ((X0) != (f @ (g @ X0))))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 0.49/0.75 thf(zip_derived_cl259, plain,
% 0.49/0.75 (![X0 : $i]: (((X0) != (f @ (g @ X0))) | ((sk__2) = (g @ (sk_ @ X0))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl249])).
% 0.49/0.75 thf(zip_derived_cl200, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (f @ (g @ X0))) | ((sk_ @ X0) = (f @ (g @ (sk_ @ X0)))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl44])).
% 0.49/0.75 thf(zip_derived_cl260, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk_ @ X0) = (f @ sk__2))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0))))),
% 0.49/0.75 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl200])).
% 0.49/0.75 thf(zip_derived_cl185, plain, (((sk__3) = (f @ (g @ sk__3)))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl180])).
% 0.49/0.75 thf(zip_derived_cl219, plain, (((sk__2) = (g @ sk__3))),
% 0.49/0.75 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl196])).
% 0.49/0.75 thf(zip_derived_cl221, plain, (((sk__3) = (f @ sk__2))),
% 0.49/0.75 inference('demod', [status(thm)], [zip_derived_cl185, zip_derived_cl219])).
% 0.49/0.75 thf(zip_derived_cl261, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((sk_ @ X0) = (sk__3))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0))))),
% 0.49/0.75 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl221])).
% 0.49/0.75 thf(zip_derived_cl262, plain,
% 0.49/0.75 (![X0 : $i]: (((X0) != (f @ (g @ X0))) | ((sk_ @ X0) = (sk__3)))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl261])).
% 0.49/0.75 thf(zip_derived_cl196, plain, ( (zip_tseitin_1 @ sk__2)),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl191])).
% 0.49/0.75 thf(zip_derived_cl47, plain,
% 0.49/0.75 (![X0 : $i, X1 : $i]:
% 0.49/0.75 (((X0) != (sk_ @ X0))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ~ (zip_tseitin_1 @ X1))),
% 0.49/0.75 inference('dp-resolution', [status(thm)],
% 0.49/0.75 [zip_derived_cl3, zip_derived_cl9])).
% 0.49/0.75 thf(zip_derived_cl201, plain,
% 0.49/0.75 (![X0 : $i]: (((X0) != (f @ (g @ X0))) | ((X0) != (sk_ @ X0)))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl47])).
% 0.49/0.75 thf(zip_derived_cl264, plain,
% 0.49/0.75 (![X0 : $i]:
% 0.49/0.75 (((X0) != (sk__3))
% 0.49/0.75 | ((X0) != (f @ (g @ X0)))
% 0.49/0.75 | ((X0) != (f @ (g @ X0))))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl201])).
% 0.49/0.75 thf(zip_derived_cl268, plain,
% 0.49/0.75 (![X0 : $i]: (((X0) != (f @ (g @ X0))) | ((X0) != (sk__3)))),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl264])).
% 0.49/0.75 thf(zip_derived_cl273, plain,
% 0.49/0.75 ((((sk__3) != (f @ sk__2)) | ((sk__3) != (sk__3)))),
% 0.49/0.75 inference('sup-', [status(thm)], [zip_derived_cl219, zip_derived_cl268])).
% 0.49/0.75 thf(zip_derived_cl221, plain, (((sk__3) = (f @ sk__2))),
% 0.49/0.75 inference('demod', [status(thm)], [zip_derived_cl185, zip_derived_cl219])).
% 0.49/0.75 thf(zip_derived_cl278, plain,
% 0.49/0.75 ((((sk__3) != (sk__3)) | ((sk__3) != (sk__3)))),
% 0.49/0.75 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl221])).
% 0.49/0.75 thf(zip_derived_cl279, plain, ($false),
% 0.49/0.75 inference('simplify', [status(thm)], [zip_derived_cl278])).
% 0.49/0.75
% 0.49/0.75 % SZS output end Refutation
% 0.49/0.75
% 0.49/0.75
% 0.49/0.75 % Terminating...
% 0.50/0.80 % Runner terminated.
% 0.50/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------