%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN551+2 : TPTP v9.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sivrp1F0eg true
% Computer : n010.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 05:05:18 PM UTC 2025
% Result : Theorem 0.59s 0.81s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN551+2 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sivrp1F0eg true
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:32:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.81 % Solved by fo/fo1_av.sh.
% 0.59/0.81 % done 96 iterations in 0.037s
% 0.59/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.81 % SZS output start Refutation
% 0.59/0.81 thf(sk__type, type, sk_: $i > $i).
% 0.59/0.81 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.59/0.81 thf(f_type, type, f: $i > $i).
% 0.59/0.81 thf(g_type, type, g: $i > $i).
% 0.59/0.81 thf(sk__3_type, type, sk__3: $i).
% 0.59/0.81 thf(sk__2_type, type, sk__2: $i).
% 0.59/0.81 thf(sk__1_type, type, sk__1: $i > $i).
% 0.59/0.81 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.59/0.81 thf(prove_this_cute_thing, conjecture,
% 0.59/0.81 (( ?[X:$i]:
% 0.59/0.81 ( ![Y:$i]: ( ( ( Y ) = ( f @ ( g @ Y ) ) ) <=> ( ( X ) = ( Y ) ) ) ) ) <=>
% 0.59/0.81 ( ?[X:$i]:
% 0.59/0.81 ( ![Y:$i]: ( ( ( Y ) = ( g @ ( f @ Y ) ) ) <=> ( ( X ) = ( Y ) ) ) ) ))).
% 0.59/0.81 thf(zf_stmt_0, type, zip_tseitin_1 : $i > $i > $o).
% 0.59/0.81 thf(zf_stmt_1, axiom,
% 0.59/0.81 (![Y:$i,X:$i]:
% 0.59/0.81 ( ( zip_tseitin_1 @ Y @ X ) <=>
% 0.59/0.81 ( ( ( Y ) = ( g @ ( f @ Y ) ) ) <=> ( ( X ) = ( Y ) ) ) ))).
% 0.59/0.81 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $i > $o).
% 0.59/0.81 thf(zf_stmt_3, axiom,
% 0.59/0.81 (![Y:$i,X:$i]:
% 0.59/0.81 ( ( zip_tseitin_0 @ Y @ X ) <=>
% 0.59/0.81 ( ( ( Y ) = ( f @ ( g @ Y ) ) ) <=> ( ( X ) = ( Y ) ) ) ))).
% 0.59/0.81 thf(zf_stmt_4, conjecture,
% 0.59/0.81 (( ?[X:$i]: ( ![Y:$i]: ( zip_tseitin_0 @ Y @ X ) ) ) <=>
% 0.59/0.81 ( ?[X:$i]: ( ![Y:$i]: ( zip_tseitin_1 @ Y @ X ) ) ))).
% 0.59/0.81 thf(zf_stmt_5, negated_conjecture,
% 0.59/0.81 (~( ( ?[X:$i]: ( ![Y:$i]: ( zip_tseitin_0 @ Y @ X ) ) ) <=>
% 0.59/0.81 ( ?[X:$i]: ( ![Y:$i]: ( zip_tseitin_1 @ Y @ X ) ) ) )),
% 0.59/0.81 inference('cnf.neg', [status(esa)], [zf_stmt_4])).
% 0.59/0.81 thf(zip_derived_cl8, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ( (zip_tseitin_1 @ X0 @ sk__2) | (zip_tseitin_0 @ X1 @ sk__3))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.81 thf(zip_derived_cl10, plain,
% 0.59/0.81 ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3))
% 0.59/0.81 <= ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.59/0.81 thf(zip_derived_cl0, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 (((X1) != (X0))
% 0.59/0.81 | ((X0) = (f @ (g @ X0)))
% 0.59/0.81 | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.81 thf(zip_derived_cl16, plain,
% 0.59/0.81 ((![X0 : $i]: (((sk__3) != (X0)) | ((X0) = (f @ (g @ X0)))))
% 0.59/0.81 <= ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.59/0.81 thf(zip_derived_cl11, plain,
% 0.59/0.81 ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.59/0.81 thf(zip_derived_cl4, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 (((X1) != (X0))
% 0.59/0.81 | ((X0) = (g @ (f @ X0)))
% 0.59/0.81 | ~ (zip_tseitin_1 @ X0 @ X1))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.81 thf(zip_derived_cl81, plain,
% 0.59/0.81 ((![X0 : $i]: (((sk__2) != (X0)) | ((X0) = (g @ (f @ X0)))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 0.59/0.81 thf(zip_derived_cl3, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ( (zip_tseitin_0 @ X0 @ X1) | ((X1) = (X0)) | ((X0) = (f @ (g @ X0))))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.81 thf(zip_derived_cl9, plain,
% 0.59/0.81 (![X2 : $i, X3 : $i]:
% 0.59/0.81 (~ (zip_tseitin_1 @ (sk_ @ X2) @ X2)
% 0.59/0.81 | ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.81 thf(zip_derived_cl12, plain,
% 0.59/0.81 ((![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3))
% 0.59/0.81 <= ((![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.59/0.81 thf(zip_derived_cl46, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((sk__1 @ X0) = (f @ (g @ (sk__1 @ X0)))) | ((X0) = (sk__1 @ X0))))
% 0.59/0.81 <= ((![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 0.59/0.81 thf(zip_derived_cl11, plain,
% 0.59/0.81 ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.59/0.81 thf(zip_derived_cl5, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 (((X0) != (g @ (f @ X0)))
% 0.59/0.81 | ((X1) = (X0))
% 0.59/0.81 | ~ (zip_tseitin_1 @ X0 @ X1))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.81 thf(zip_derived_cl22, plain,
% 0.59/0.81 ((![X0 : $i]: (((X0) != (g @ (f @ X0))) | ((sk__2) = (X0))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl5])).
% 0.59/0.81 thf(zip_derived_cl50, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((X0) = (sk__1 @ X0))
% 0.59/0.81 | ((g @ (sk__1 @ X0)) != (g @ (sk__1 @ X0)))
% 0.59/0.81 | ((sk__2) = (g @ (sk__1 @ X0)))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) &
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl22])).
% 0.59/0.81 thf(zip_derived_cl55, plain,
% 0.59/0.81 ((![X0 : $i]: (((sk__2) = (g @ (sk__1 @ X0))) | ((X0) = (sk__1 @ X0))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) &
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl50])).
% 0.59/0.81 thf(zip_derived_cl46, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((sk__1 @ X0) = (f @ (g @ (sk__1 @ X0)))) | ((X0) = (sk__1 @ X0))))
% 0.59/0.81 <= ((![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 0.59/0.81 thf(zip_derived_cl61, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((X0) = (sk__1 @ X0))
% 0.59/0.81 | ((sk__1 @ X0) = (f @ sk__2))
% 0.59/0.81 | ((X0) = (sk__1 @ X0))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) &
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl46])).
% 0.59/0.81 thf(zip_derived_cl64, plain,
% 0.59/0.81 ((![X0 : $i]: (((sk__1 @ X0) = (f @ sk__2)) | ((X0) = (sk__1 @ X0))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) &
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl61])).
% 0.59/0.81 thf(zip_derived_cl78, plain,
% 0.59/0.81 ((![X0 : $i]: (((f @ sk__2) != (X0)) | ((X0) = (sk__1 @ X0))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) &
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl64])).
% 0.59/0.81 thf(zip_derived_cl2, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ( (zip_tseitin_0 @ X0 @ X1)
% 0.59/0.81 | ((X1) != (X0))
% 0.59/0.81 | ((X0) != (f @ (g @ X0))))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.81 thf(zip_derived_cl12, plain,
% 0.59/0.81 ((![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3))
% 0.59/0.81 <= ((![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.59/0.81 thf(zip_derived_cl32, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((sk__1 @ X0) != (f @ (g @ (sk__1 @ X0)))) | ((X0) != (sk__1 @ X0))))
% 0.59/0.81 <= ((![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 0.59/0.81 thf(zip_derived_cl149, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((f @ sk__2) != (X0)) | ((X0) != (f @ (g @ X0))) | ((X0) != (X0))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) &
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl32])).
% 0.59/0.81 thf(zip_derived_cl153, plain,
% 0.59/0.81 ((![X0 : $i]: (((X0) != (f @ (g @ X0))) | ((f @ sk__2) != (X0))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) &
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl149])).
% 0.59/0.81 thf(zip_derived_cl180, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((sk__2) != (X0))
% 0.59/0.81 | ((f @ X0) != (f @ X0))
% 0.59/0.81 | ((f @ sk__2) != (f @ X0))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) &
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl153])).
% 0.59/0.81 thf(zip_derived_cl191, plain,
% 0.59/0.81 ((![X0 : $i]: (((f @ sk__2) != (f @ X0)) | ((sk__2) != (X0))))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) &
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl180])).
% 0.59/0.81 thf(zip_derived_cl203, plain,
% 0.59/0.81 ((((sk__2) != (sk__2)))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) &
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('eq_res', [status(thm)], [zip_derived_cl191])).
% 0.59/0.81 thf('0', plain,
% 0.59/0.81 (~ (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)) |
% 0.59/0.81 ~ (![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2))),
% 0.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl203])).
% 0.59/0.81 thf(zip_derived_cl11, plain,
% 0.59/0.81 ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2))
% 0.59/0.81 <= ((![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.59/0.81 thf(zip_derived_cl13, plain,
% 0.59/0.81 ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2))
% 0.59/0.81 <= ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.59/0.81 thf('1', plain,
% 0.59/0.81 (~ (![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2)) |
% 0.59/0.81 ~ (![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl13])).
% 0.59/0.81 thf('2', plain,
% 0.59/0.81 ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2)) |
% 0.59/0.81 (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.59/0.81 thf('3', plain,
% 0.59/0.81 ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3)) |
% 0.59/0.81 (![X0 : $i]: (zip_tseitin_1 @ X0 @ sk__2))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.59/0.81 thf('4', plain, ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3))),
% 0.59/0.81 inference('sat_resolution*', [status(thm)], ['0', '1', '2', '3'])).
% 0.59/0.81 thf(zip_derived_cl222, plain,
% 0.59/0.81 (![X0 : $i]: (((sk__3) != (X0)) | ((X0) = (f @ (g @ X0))))),
% 0.59/0.81 inference('simpl_trail', [status(thm)], [zip_derived_cl16, '4'])).
% 0.59/0.81 thf(zip_derived_cl7, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ( (zip_tseitin_1 @ X0 @ X1) | ((X1) = (X0)) | ((X0) = (g @ (f @ X0))))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.81 thf(zip_derived_cl13, plain,
% 0.59/0.81 ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2))
% 0.59/0.81 <= ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.59/0.81 thf(zip_derived_cl144, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((sk_ @ X0) = (g @ (f @ (sk_ @ X0)))) | ((X0) = (sk_ @ X0))))
% 0.59/0.81 <= ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl13])).
% 0.59/0.81 thf(zip_derived_cl10, plain,
% 0.59/0.81 ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3))
% 0.59/0.81 <= ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.59/0.81 thf(zip_derived_cl1, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 (((X0) != (f @ (g @ X0)))
% 0.59/0.81 | ((X1) = (X0))
% 0.59/0.81 | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.81 thf(zip_derived_cl19, plain,
% 0.59/0.81 ((![X0 : $i]: (((X0) != (f @ (g @ X0))) | ((sk__3) = (X0))))
% 0.59/0.81 <= ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 0.59/0.81 thf(zip_derived_cl155, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((X0) = (sk_ @ X0))
% 0.59/0.81 | ((f @ (sk_ @ X0)) != (f @ (sk_ @ X0)))
% 0.59/0.81 | ((sk__3) = (f @ (sk_ @ X0)))))
% 0.59/0.81 <= ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3)) &
% 0.59/0.81 (![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl19])).
% 0.59/0.81 thf(zip_derived_cl161, plain,
% 0.59/0.81 ((![X0 : $i]: (((sk__3) = (f @ (sk_ @ X0))) | ((X0) = (sk_ @ X0))))
% 0.59/0.81 <= ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3)) &
% 0.59/0.81 (![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2)))),
% 0.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl155])).
% 0.59/0.81 thf('5', plain, ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3))),
% 0.59/0.81 inference('sat_resolution*', [status(thm)], ['0', '1', '2', '3'])).
% 0.59/0.81 thf(zip_derived_cl12, plain,
% 0.59/0.81 ((![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3))
% 0.59/0.81 <= ((![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.59/0.81 thf(zip_derived_cl10, plain,
% 0.59/0.81 ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3))
% 0.59/0.81 <= ((![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.59/0.81 thf('6', plain,
% 0.59/0.81 (~ (![X3 : $i]: ~ (zip_tseitin_0 @ (sk__1 @ X3) @ X3)) |
% 0.59/0.81 ~ (![X1 : $i]: (zip_tseitin_0 @ X1 @ sk__3))),
% 0.59/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.59/0.81 thf('7', plain, ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2))),
% 0.59/0.81 inference('sat_resolution*', [status(thm)], ['0', '1', '3', '6', '2'])).
% 0.59/0.81 thf(zip_derived_cl219, plain,
% 0.59/0.81 (![X0 : $i]: (((sk__3) = (f @ (sk_ @ X0))) | ((X0) = (sk_ @ X0)))),
% 0.59/0.81 inference('simpl_trail', [status(thm)], [zip_derived_cl161, '5', '7'])).
% 0.59/0.81 thf(zip_derived_cl144, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((sk_ @ X0) = (g @ (f @ (sk_ @ X0)))) | ((X0) = (sk_ @ X0))))
% 0.59/0.81 <= ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl13])).
% 0.59/0.81 thf('8', plain, ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2))),
% 0.59/0.81 inference('sat_resolution*', [status(thm)], ['0', '1', '3', '6', '2'])).
% 0.59/0.81 thf(zip_derived_cl225, plain,
% 0.59/0.81 (![X0 : $i]:
% 0.59/0.81 (((sk_ @ X0) = (g @ (f @ (sk_ @ X0)))) | ((X0) = (sk_ @ X0)))),
% 0.59/0.81 inference('simpl_trail', [status(thm)], [zip_derived_cl144, '8'])).
% 0.59/0.81 thf(zip_derived_cl238, plain,
% 0.59/0.81 (![X0 : $i]:
% 0.59/0.81 (((X0) = (sk_ @ X0))
% 0.59/0.81 | ((sk_ @ X0) = (g @ sk__3))
% 0.59/0.81 | ((X0) = (sk_ @ X0)))),
% 0.59/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl219, zip_derived_cl225])).
% 0.59/0.81 thf(zip_derived_cl239, plain,
% 0.59/0.81 (![X0 : $i]: (((sk_ @ X0) = (g @ sk__3)) | ((X0) = (sk_ @ X0)))),
% 0.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl238])).
% 0.59/0.81 thf(zip_derived_cl254, plain,
% 0.59/0.81 (![X0 : $i]: (((g @ sk__3) != (X0)) | ((X0) = (sk_ @ X0)))),
% 0.59/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl239])).
% 0.59/0.81 thf(zip_derived_cl6, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ( (zip_tseitin_1 @ X0 @ X1)
% 0.59/0.81 | ((X1) != (X0))
% 0.59/0.81 | ((X0) != (g @ (f @ X0))))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.81 thf(zip_derived_cl13, plain,
% 0.59/0.81 ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2))
% 0.59/0.81 <= ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2)))),
% 0.59/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.59/0.81 thf(zip_derived_cl118, plain,
% 0.59/0.81 ((![X0 : $i]:
% 0.59/0.81 (((sk_ @ X0) != (g @ (f @ (sk_ @ X0)))) | ((X0) != (sk_ @ X0))))
% 0.59/0.81 <= ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl13])).
% 0.59/0.81 thf('9', plain, ((![X2 : $i]: ~ (zip_tseitin_1 @ (sk_ @ X2) @ X2))),
% 0.59/0.81 inference('sat_resolution*', [status(thm)], ['0', '1', '3', '6', '2'])).
% 0.59/0.81 thf(zip_derived_cl224, plain,
% 0.59/0.81 (![X0 : $i]:
% 0.59/0.81 (((sk_ @ X0) != (g @ (f @ (sk_ @ X0)))) | ((X0) != (sk_ @ X0)))),
% 0.59/0.81 inference('simpl_trail', [status(thm)], [zip_derived_cl118, '9'])).
% 0.59/0.81 thf(zip_derived_cl259, plain,
% 0.59/0.81 (![X0 : $i]:
% 0.59/0.81 (((g @ sk__3) != (X0)) | ((X0) != (g @ (f @ X0))) | ((X0) != (X0)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl224])).
% 0.59/0.81 thf(zip_derived_cl262, plain,
% 0.59/0.81 (![X0 : $i]: (((X0) != (g @ (f @ X0))) | ((g @ sk__3) != (X0)))),
% 0.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl259])).
% 0.59/0.81 thf(zip_derived_cl268, plain,
% 0.59/0.81 (![X0 : $i]:
% 0.59/0.81 (((sk__3) != (X0))
% 0.59/0.81 | ((g @ X0) != (g @ X0))
% 0.59/0.81 | ((g @ sk__3) != (g @ X0)))),
% 0.59/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl262])).
% 0.59/0.81 thf(zip_derived_cl271, plain,
% 0.59/0.81 (![X0 : $i]: (((g @ sk__3) != (g @ X0)) | ((sk__3) != (X0)))),
% 0.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl268])).
% 0.59/0.81 thf(zip_derived_cl280, plain, (((sk__3) != (sk__3))),
% 0.59/0.81 inference('eq_res', [status(thm)], [zip_derived_cl271])).
% 0.59/0.81 thf(zip_derived_cl281, plain, ($false),
% 0.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl280])).
% 0.59/0.81
% 0.59/0.81 % SZS output end Refutation
% 0.59/0.81
% 0.59/0.81
% 0.59/0.81 % Terminating...
% 1.21/0.86 % Runner terminated.
% 1.21/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------