%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL901+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AsiFxdk51f true
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:37:33 PM UTC 2026
% Result : Theorem 11.79s 2.36s
% Output : Refutation 11.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL901+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AsiFxdk51f true
% 0.09/0.36 % Computer : n031.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 10:26:39 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.12.3
% 0.14/0.37 % Running in FO mode
% 0.44/0.65 % Total configuration time : 435
% 0.44/0.65 % Estimated wc time : 1092
% 0.44/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.79/2.36 % Solved by fo/fo13.sh.
% 11.79/2.36 % done 802 iterations in 1.550s
% 11.79/2.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.79/2.36 % SZS output start Refutation
% 11.79/2.36 thf(>=_type, type, >=: $i > $i > $o).
% 11.79/2.36 thf(sk__type, type, sk_: $i).
% 11.79/2.36 thf('+_type', type, '+': $i > $i > $i).
% 11.79/2.36 thf(1_type, type, 1: $i).
% 11.79/2.36 thf(==>_type, type, ==>: $i > $i > $i).
% 11.79/2.36 thf(0_type, type, 0: $i).
% 11.79/2.36 thf(goals_15, conjecture,
% 11.79/2.36 (![X17:$i]: ( ( ==> @ ( ==> @ ( ==> @ X17 @ 1 ) @ X17 ) @ X17 ) = ( 0 ) ))).
% 11.79/2.36 thf(zf_stmt_0, negated_conjecture,
% 11.79/2.36 (~( ![X17:$i]:
% 11.79/2.36 ( ( ==> @ ( ==> @ ( ==> @ X17 @ 1 ) @ X17 ) @ X17 ) = ( 0 ) ) )),
% 11.79/2.36 inference('cnf.neg', [status(esa)], [goals_15])).
% 11.79/2.36 thf(zip_derived_cl15, plain,
% 11.79/2.36 (((==> @ (==> @ (==> @ sk_ @ 1) @ sk_) @ sk_) != (0))),
% 11.79/2.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.79/2.36 thf(sos_08, axiom, (![A:$i]: ( >= @ A @ 0 ))).
% 11.79/2.36 thf(zip_derived_cl8, plain, (![X0 : $i]: (>= @ X0 @ 0)),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_08])).
% 11.79/2.36 thf(sos_07, axiom,
% 11.79/2.36 (![X5:$i,X6:$i,X7:$i]:
% 11.79/2.36 ( ( >= @ ( '+' @ X5 @ X6 ) @ X7 ) <=> ( >= @ X6 @ ( ==> @ X5 @ X7 ) ) ))).
% 11.79/2.36 thf(zip_derived_cl6, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 ( (>= @ X0 @ (==> @ X1 @ X2)) | ~ (>= @ ('+' @ X1 @ X0) @ X2))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_07])).
% 11.79/2.36 thf(zip_derived_cl50, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ X0 @ (==> @ X1 @ 0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 11.79/2.36 thf(zip_derived_cl8, plain, (![X0 : $i]: (>= @ X0 @ 0)),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_08])).
% 11.79/2.36 thf(sos_06, axiom,
% 11.79/2.36 (![X3:$i,X4:$i]:
% 11.79/2.36 ( ( ( >= @ X3 @ X4 ) & ( >= @ X4 @ X3 ) ) => ( ( X3 ) = ( X4 ) ) ))).
% 11.79/2.36 thf(zip_derived_cl5, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]:
% 11.79/2.36 (((X1) = (X0)) | ~ (>= @ X0 @ X1) | ~ (>= @ X1 @ X0))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_06])).
% 11.79/2.36 thf(zip_derived_cl48, plain, (![X0 : $i]: (((0) = (X0)) | ~ (>= @ 0 @ X0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 11.79/2.36 thf(zip_derived_cl103, plain, (![X0 : $i]: ((0) = (==> @ X0 @ 0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl48])).
% 11.79/2.36 thf(sos_13, axiom,
% 11.79/2.36 (![A:$i,B:$i]:
% 11.79/2.36 ( ( ==> @ ( ==> @ A @ B ) @ B ) = ( ==> @ ( ==> @ B @ A ) @ A ) ))).
% 11.79/2.36 thf(zip_derived_cl13, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]:
% 11.79/2.36 ((==> @ (==> @ X1 @ X0) @ X0) = (==> @ (==> @ X0 @ X1) @ X1))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_13])).
% 11.79/2.36 thf(zip_derived_cl129, plain,
% 11.79/2.36 (![X0 : $i]: ((==> @ (==> @ 0 @ X0) @ X0) = (0))),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl13])).
% 11.79/2.36 thf(sos_12, axiom, (![A:$i]: ( ( '+' @ A @ 1 ) = ( 1 ) ))).
% 11.79/2.36 thf(zip_derived_cl12, plain, (![X0 : $i]: (('+' @ X0 @ 1) = (1))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_12])).
% 11.79/2.36 thf(sos_02, axiom, (![A:$i,B:$i]: ( ( '+' @ A @ B ) = ( '+' @ B @ A ) ))).
% 11.79/2.36 thf(zip_derived_cl1, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_02])).
% 11.79/2.36 thf(zip_derived_cl34, plain, (![X0 : $i]: ((1) = ('+' @ 1 @ X0))),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 11.79/2.36 thf(zip_derived_cl8, plain, (![X0 : $i]: (>= @ X0 @ 0)),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_08])).
% 11.79/2.36 thf(sos_09, axiom,
% 11.79/2.36 (![X8:$i,X9:$i,X10:$i]:
% 11.79/2.36 ( ( >= @ X8 @ X9 ) => ( >= @ ( '+' @ X8 @ X10 ) @ ( '+' @ X9 @ X10 ) ) ))).
% 11.79/2.36 thf(zip_derived_cl9, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 (~ (>= @ X0 @ X1) | (>= @ ('+' @ X0 @ X2) @ ('+' @ X1 @ X2)))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_09])).
% 11.79/2.36 thf(zip_derived_cl75, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X0 @ X1) @ ('+' @ 0 @ X1))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl9])).
% 11.79/2.36 thf(sos_03, axiom, (![A:$i]: ( ( '+' @ A @ 0 ) = ( A ) ))).
% 11.79/2.36 thf(zip_derived_cl2, plain, (![X0 : $i]: (('+' @ X0 @ 0) = (X0))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_03])).
% 11.79/2.36 thf(zip_derived_cl1, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_02])).
% 11.79/2.36 thf(zip_derived_cl33, plain, (![X0 : $i]: ((X0) = ('+' @ 0 @ X0))),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 11.79/2.36 thf(zip_derived_cl92, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X0 @ X1) @ X1)),
% 11.79/2.36 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl33])).
% 11.79/2.36 thf(zip_derived_cl168, plain, (![X0 : $i]: (>= @ 1 @ X0)),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl92])).
% 11.79/2.36 thf(sos_10, axiom,
% 11.79/2.36 (![X11:$i,X12:$i,X13:$i]:
% 11.79/2.36 ( ( >= @ X11 @ X12 ) => ( >= @ ( ==> @ X12 @ X13 ) @ ( ==> @ X11 @ X13 ) ) ))).
% 11.79/2.36 thf(zip_derived_cl10, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 (~ (>= @ X0 @ X1) | (>= @ (==> @ X1 @ X2) @ (==> @ X0 @ X2)))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_10])).
% 11.79/2.36 thf(zip_derived_cl173, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ (==> @ X0 @ X1) @ (==> @ 1 @ X1))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl10])).
% 11.79/2.36 thf(zip_derived_cl283, plain, (![X0 : $i]: (>= @ 0 @ (==> @ 1 @ X0))),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl173])).
% 11.79/2.36 thf(zip_derived_cl48, plain, (![X0 : $i]: (((0) = (X0)) | ~ (>= @ 0 @ X0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 11.79/2.36 thf(zip_derived_cl295, plain, (![X0 : $i]: ((0) = (==> @ 1 @ X0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl283, zip_derived_cl48])).
% 11.79/2.36 thf(zip_derived_cl13, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]:
% 11.79/2.36 ((==> @ (==> @ X1 @ X0) @ X0) = (==> @ (==> @ X0 @ X1) @ X1))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_13])).
% 11.79/2.36 thf(zip_derived_cl309, plain,
% 11.79/2.36 (![X0 : $i]: ((==> @ (==> @ X0 @ 1) @ 1) = (==> @ 0 @ X0))),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl295, zip_derived_cl13])).
% 11.79/2.36 thf(zip_derived_cl8, plain, (![X0 : $i]: (>= @ X0 @ 0)),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_08])).
% 11.79/2.36 thf(zip_derived_cl10, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 (~ (>= @ X0 @ X1) | (>= @ (==> @ X1 @ X2) @ (==> @ X0 @ X2)))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_10])).
% 11.79/2.36 thf(zip_derived_cl107, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ (==> @ 0 @ X1) @ (==> @ X0 @ X1))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl10])).
% 11.79/2.36 thf(sos_14, axiom, (![A:$i]: ( ( '+' @ A @ A ) = ( A ) ))).
% 11.79/2.36 thf(zip_derived_cl14, plain, (![X0 : $i]: (('+' @ X0 @ X0) = (X0))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_14])).
% 11.79/2.36 thf(zip_derived_cl7, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 ( (>= @ ('+' @ X0 @ X1) @ X2) | ~ (>= @ X1 @ (==> @ X0 @ X2)))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_07])).
% 11.79/2.36 thf(zip_derived_cl61, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: ( (>= @ X0 @ X1) | ~ (>= @ X0 @ (==> @ X0 @ X1)))),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl7])).
% 11.79/2.36 thf(zip_derived_cl585, plain, (![X0 : $i]: (>= @ (==> @ 0 @ X0) @ X0)),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl61])).
% 11.79/2.36 thf(zip_derived_cl5, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]:
% 11.79/2.36 (((X1) = (X0)) | ~ (>= @ X0 @ X1) | ~ (>= @ X1 @ X0))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_06])).
% 11.79/2.36 thf(zip_derived_cl630, plain,
% 11.79/2.36 (![X0 : $i]: (((X0) = (==> @ 0 @ X0)) | ~ (>= @ X0 @ (==> @ 0 @ X0)))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl585, zip_derived_cl5])).
% 11.79/2.36 thf(zip_derived_cl92, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X0 @ X1) @ X1)),
% 11.79/2.36 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl33])).
% 11.79/2.36 thf(zip_derived_cl6, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 ( (>= @ X0 @ (==> @ X1 @ X2)) | ~ (>= @ ('+' @ X1 @ X0) @ X2))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_07])).
% 11.79/2.36 thf(zip_derived_cl160, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ X0 @ (==> @ X1 @ X0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl6])).
% 11.79/2.36 thf(zip_derived_cl639, plain, (![X0 : $i]: ((X0) = (==> @ 0 @ X0))),
% 11.79/2.36 inference('demod', [status(thm)], [zip_derived_cl630, zip_derived_cl160])).
% 11.79/2.36 thf(zip_derived_cl664, plain,
% 11.79/2.36 (![X0 : $i]: ((==> @ (==> @ X0 @ 1) @ 1) = (X0))),
% 11.79/2.36 inference('demod', [status(thm)], [zip_derived_cl309, zip_derived_cl639])).
% 11.79/2.36 thf(zip_derived_cl6, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 ( (>= @ X0 @ (==> @ X1 @ X2)) | ~ (>= @ ('+' @ X1 @ X0) @ X2))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_07])).
% 11.79/2.36 thf(zip_derived_cl718, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]:
% 11.79/2.36 ( (>= @ X1 @ X0) | ~ (>= @ ('+' @ (==> @ X0 @ 1) @ X1) @ 1))),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl6])).
% 11.79/2.36 thf(zip_derived_cl14, plain, (![X0 : $i]: (('+' @ X0 @ X0) = (X0))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_14])).
% 11.79/2.36 thf(sos_01, axiom,
% 11.79/2.36 (![A:$i,B:$i,C:$i]:
% 11.79/2.36 ( ( '+' @ ( '+' @ A @ B ) @ C ) = ( '+' @ A @ ( '+' @ B @ C ) ) ))).
% 11.79/2.36 thf(zip_derived_cl0, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 (('+' @ ('+' @ X0 @ X1) @ X2) = ('+' @ X0 @ ('+' @ X1 @ X2)))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_01])).
% 11.79/2.36 thf(zip_derived_cl23, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (('+' @ X0 @ X1) = ('+' @ X0 @ ('+' @ X0 @ X1)))),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 11.79/2.36 thf(zip_derived_cl7, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 ( (>= @ ('+' @ X0 @ X1) @ X2) | ~ (>= @ X1 @ (==> @ X0 @ X2)))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_07])).
% 11.79/2.36 thf(zip_derived_cl183, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 ( (>= @ ('+' @ X1 @ X0) @ X2)
% 11.79/2.36 | ~ (>= @ ('+' @ X1 @ X0) @ (==> @ X1 @ X2)))),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl7])).
% 11.79/2.36 thf(zip_derived_cl4203, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]:
% 11.79/2.36 ( (>= @ X0 @ X1)
% 11.79/2.36 | ~ (>= @ ('+' @ (==> @ X1 @ 1) @ X0) @ (==> @ (==> @ X1 @ 1) @ 1)))),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl718, zip_derived_cl183])).
% 11.79/2.36 thf(zip_derived_cl664, plain,
% 11.79/2.36 (![X0 : $i]: ((==> @ (==> @ X0 @ 1) @ 1) = (X0))),
% 11.79/2.36 inference('demod', [status(thm)], [zip_derived_cl309, zip_derived_cl639])).
% 11.79/2.36 thf(zip_derived_cl4264, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]:
% 11.79/2.36 ( (>= @ X0 @ X1) | ~ (>= @ ('+' @ (==> @ X1 @ 1) @ X0) @ X1))),
% 11.79/2.36 inference('demod', [status(thm)], [zip_derived_cl4203, zip_derived_cl664])).
% 11.79/2.36 thf(sos_04, axiom, (![A:$i]: ( >= @ A @ A ))).
% 11.79/2.36 thf(zip_derived_cl3, plain, (![X0 : $i]: (>= @ X0 @ X0)),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_04])).
% 11.79/2.36 thf(zip_derived_cl7, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 ( (>= @ ('+' @ X0 @ X1) @ X2) | ~ (>= @ X1 @ (==> @ X0 @ X2)))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_07])).
% 11.79/2.36 thf(zip_derived_cl67, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X1 @ (==> @ X1 @ X0)) @ X0)),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 11.79/2.36 thf(zip_derived_cl5173, plain,
% 11.79/2.36 (![X0 : $i]: (>= @ (==> @ (==> @ X0 @ 1) @ X0) @ X0)),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl4264, zip_derived_cl67])).
% 11.79/2.36 thf(zip_derived_cl160, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ X0 @ (==> @ X1 @ X0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl6])).
% 11.79/2.36 thf(zip_derived_cl5, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]:
% 11.79/2.36 (((X1) = (X0)) | ~ (>= @ X0 @ X1) | ~ (>= @ X1 @ X0))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_06])).
% 11.79/2.36 thf(zip_derived_cl202, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]:
% 11.79/2.36 (((==> @ X1 @ X0) = (X0)) | ~ (>= @ (==> @ X1 @ X0) @ X0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl5])).
% 11.79/2.36 thf(zip_derived_cl5356, plain,
% 11.79/2.36 (![X0 : $i]: ((==> @ (==> @ X0 @ 1) @ X0) = (X0))),
% 11.79/2.36 inference('s_sup-', [status(thm)],
% 11.79/2.36 [zip_derived_cl5173, zip_derived_cl202])).
% 11.79/2.36 thf(zip_derived_cl1, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_02])).
% 11.79/2.36 thf(zip_derived_cl92, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X0 @ X1) @ X1)),
% 11.79/2.36 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl33])).
% 11.79/2.36 thf(zip_derived_cl161, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X1 @ X0) @ X1)),
% 11.79/2.36 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl92])).
% 11.79/2.36 thf(zip_derived_cl6, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.79/2.36 ( (>= @ X0 @ (==> @ X1 @ X2)) | ~ (>= @ ('+' @ X1 @ X0) @ X2))),
% 11.79/2.36 inference('cnf', [status(esa)], [sos_07])).
% 11.79/2.36 thf(zip_derived_cl422, plain,
% 11.79/2.36 (![X0 : $i, X1 : $i]: (>= @ X1 @ (==> @ X0 @ X0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl6])).
% 11.79/2.36 thf(zip_derived_cl48, plain, (![X0 : $i]: (((0) = (X0)) | ~ (>= @ 0 @ X0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 11.79/2.36 thf(zip_derived_cl545, plain, (![X0 : $i]: ((0) = (==> @ X0 @ X0))),
% 11.79/2.36 inference('s_sup-', [status(thm)], [zip_derived_cl422, zip_derived_cl48])).
% 11.79/2.36 thf(zip_derived_cl5390, plain, (((0) != (0))),
% 11.79/2.36 inference('demod', [status(thm)],
% 11.79/2.36 [zip_derived_cl15, zip_derived_cl5356, zip_derived_cl545])).
% 11.79/2.36 thf(zip_derived_cl5391, plain, ($false),
% 11.79/2.36 inference('simplify', [status(thm)], [zip_derived_cl5390])).
% 11.79/2.36
% 11.79/2.36 % SZS output end Refutation
% 11.79/2.36
% 11.79/2.36
% 11.79/2.37 % Terminating...
% 2.92/2.42 % Runner terminated.
% 2.92/2.44 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------