TSTP Solution File: ALG440-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG440-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MdCsLtLf9Q true
% Computer : n014.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 : Wed Aug 30 17:13:11 EDT 2023
% Result : Unsatisfiable 202.82s 29.58s
% Output : Refutation 202.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG440-1 : TPTP v8.1.2. Released v5.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MdCsLtLf9Q true
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 04:07:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 202.82/29.58 % Solved by fo/fo13.sh.
% 202.82/29.58 % done 10067 iterations in 28.787s
% 202.82/29.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 202.82/29.58 % SZS output start Refutation
% 202.82/29.58 thf(v_type, type, v: $i > $i > $i).
% 202.82/29.58 thf(m_type, type, m: $i > $i > $i > $i).
% 202.82/29.58 thf(r_type, type, r: $i > $i > $i > $o).
% 202.82/29.58 thf(b_type, type, b: $i).
% 202.82/29.58 thf(a_type, type, a: $i).
% 202.82/29.58 thf(u_type, type, u: $i > $i > $i > $i).
% 202.82/29.58 thf(sos_012, axiom, (r @ a @ b @ a)).
% 202.82/29.58 thf(zip_derived_cl12, plain, ( (r @ a @ b @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_012])).
% 202.82/29.58 thf(sos_013, axiom, (r @ b @ a @ a)).
% 202.82/29.58 thf(zip_derived_cl13, plain, ( (r @ b @ a @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_013])).
% 202.82/29.58 thf(zip_derived_cl12, plain, ( (r @ a @ b @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_012])).
% 202.82/29.58 thf(sos_010, axiom,
% 202.82/29.58 (( ~( r @ X0 @ X1 @ X2 ) ) | ( ~( r @ X3 @ X4 @ X5 ) ) |
% 202.82/29.58 ( r @ ( v @ X0 @ X3 ) @ ( v @ X1 @ X4 ) @ ( v @ X2 @ X5 ) ))).
% 202.82/29.58 thf(zip_derived_cl10, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X0 @ X1 @ X2)
% 202.82/29.58 | ~ (r @ X3 @ X4 @ X5)
% 202.82/29.58 | (r @ (v @ X0 @ X3) @ (v @ X1 @ X4) @ (v @ X2 @ X5)))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_010])).
% 202.82/29.58 thf(zip_derived_cl33, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | (r @ (v @ a @ X2) @ (v @ b @ X1) @ (v @ a @ X0)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 202.82/29.58 thf(sos_007, axiom, (( u @ A @ A @ B ) = ( v @ A @ B ))).
% 202.82/29.58 thf(zip_derived_cl7, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (v @ X0 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_007])).
% 202.82/29.58 thf(zip_derived_cl7, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (v @ X0 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_007])).
% 202.82/29.58 thf(zip_derived_cl7, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (v @ X0 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_007])).
% 202.82/29.58 thf(zip_derived_cl48, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | (r @ (u @ a @ a @ X2) @ (u @ b @ b @ X1) @ (u @ a @ a @ X0)))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl33, zip_derived_cl7, zip_derived_cl7,
% 202.82/29.58 zip_derived_cl7])).
% 202.82/29.58 thf(zip_derived_cl1154, plain,
% 202.82/29.58 ( (r @ (u @ a @ a @ b) @ (u @ b @ b @ a) @ (u @ a @ a @ a))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl48])).
% 202.82/29.58 thf(zip_derived_cl7, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (v @ X0 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_007])).
% 202.82/29.58 thf(sos_006, axiom, (( v @ A @ B ) = ( v @ B @ A ))).
% 202.82/29.58 thf(zip_derived_cl6, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((v @ X1 @ X0) = (v @ X0 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_006])).
% 202.82/29.58 thf(zip_derived_cl18, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((v @ X0 @ X1) = (u @ X1 @ X1 @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 202.82/29.58 thf(zip_derived_cl7, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (v @ X0 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_007])).
% 202.82/29.58 thf(zip_derived_cl91, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (u @ X1 @ X1 @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 202.82/29.58 thf(sos_002, axiom, (( u @ A @ A @ A ) = ( A ))).
% 202.82/29.58 thf(zip_derived_cl2, plain, (![X0 : $i]: ((u @ X0 @ X0 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_002])).
% 202.82/29.58 thf(zip_derived_cl1216, plain,
% 202.82/29.58 ( (r @ (u @ a @ a @ b) @ (u @ a @ a @ b) @ a)),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl1154, zip_derived_cl91, zip_derived_cl2])).
% 202.82/29.58 thf(zip_derived_cl12, plain, ( (r @ a @ b @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_012])).
% 202.82/29.58 thf(zip_derived_cl12, plain, ( (r @ a @ b @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_012])).
% 202.82/29.58 thf(sos_011, axiom, (r @ a @ a @ b)).
% 202.82/29.58 thf(zip_derived_cl11, plain, ( (r @ a @ a @ b)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_011])).
% 202.82/29.58 thf(zip_derived_cl10, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X0 @ X1 @ X2)
% 202.82/29.58 | ~ (r @ X3 @ X4 @ X5)
% 202.82/29.58 | (r @ (v @ X0 @ X3) @ (v @ X1 @ X4) @ (v @ X2 @ X5)))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_010])).
% 202.82/29.58 thf(zip_derived_cl32, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | (r @ (v @ a @ X2) @ (v @ a @ X1) @ (v @ b @ X0)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl10])).
% 202.82/29.58 thf(zip_derived_cl7, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (v @ X0 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_007])).
% 202.82/29.58 thf(zip_derived_cl7, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (v @ X0 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_007])).
% 202.82/29.58 thf(zip_derived_cl7, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (v @ X0 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_007])).
% 202.82/29.58 thf(zip_derived_cl47, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | (r @ (u @ a @ a @ X2) @ (u @ a @ a @ X1) @ (u @ b @ b @ X0)))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl32, zip_derived_cl7, zip_derived_cl7,
% 202.82/29.58 zip_derived_cl7])).
% 202.82/29.58 thf(zip_derived_cl1000, plain,
% 202.82/29.58 ( (r @ (u @ a @ a @ a) @ (u @ a @ a @ b) @ (u @ b @ b @ a))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl47])).
% 202.82/29.58 thf(zip_derived_cl2, plain, (![X0 : $i]: ((u @ X0 @ X0 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_002])).
% 202.82/29.58 thf(zip_derived_cl91, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (u @ X1 @ X1 @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 202.82/29.58 thf(zip_derived_cl1060, plain,
% 202.82/29.58 ( (r @ a @ (u @ a @ a @ b) @ (u @ a @ a @ b))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl1000, zip_derived_cl2, zip_derived_cl91])).
% 202.82/29.58 thf(zip_derived_cl1216, plain,
% 202.82/29.58 ( (r @ (u @ a @ a @ b) @ (u @ a @ a @ b) @ a)),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl1154, zip_derived_cl91, zip_derived_cl2])).
% 202.82/29.58 thf(zip_derived_cl11, plain, ( (r @ a @ a @ b)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_011])).
% 202.82/29.58 thf(sos_008, axiom,
% 202.82/29.58 (( ~( r @ X0 @ X1 @ X2 ) ) | ( ~( r @ X3 @ X4 @ X5 ) ) |
% 202.82/29.58 ( ~( r @ X6 @ X7 @ X8 ) ) |
% 202.82/29.58 ( r @ ( m @ X0 @ X3 @ X6 ) @ ( m @ X1 @ X4 @ X7 ) @ ( m @ X2 @ X5 @ X8 ) ))).
% 202.82/29.58 thf(zip_derived_cl8, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 202.82/29.58 X7 : $i, X8 : $i]:
% 202.82/29.58 (~ (r @ X0 @ X1 @ X2)
% 202.82/29.58 | ~ (r @ X3 @ X4 @ X5)
% 202.82/29.58 | ~ (r @ X6 @ X7 @ X8)
% 202.82/29.58 | (r @ (m @ X0 @ X3 @ X6) @ (m @ X1 @ X4 @ X7) @ (m @ X2 @ X5 @ X8)))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_008])).
% 202.82/29.58 thf(zip_derived_cl50, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (m @ a @ X2 @ X5) @ (m @ a @ X1 @ X4) @ (m @ b @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl1554, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ (u @ a @ a @ b) @ X2) @
% 202.82/29.58 (m @ a @ (u @ a @ a @ b) @ X1) @ (m @ b @ a @ X0)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl1216, zip_derived_cl50])).
% 202.82/29.58 thf(zip_derived_cl33381, plain,
% 202.82/29.58 ( (r @ (m @ a @ (u @ a @ a @ b) @ a) @
% 202.82/29.58 (m @ a @ (u @ a @ a @ b) @ (u @ a @ a @ b)) @
% 202.82/29.58 (m @ b @ a @ (u @ a @ a @ b)))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl1060, zip_derived_cl1554])).
% 202.82/29.58 thf(sos_001, axiom, (( m @ A @ B @ B ) = ( A ))).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl33396, plain,
% 202.82/29.58 ( (r @ (m @ a @ (u @ a @ a @ b) @ a) @ a @ (m @ b @ a @ (u @ a @ a @ b)))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl33381, zip_derived_cl1])).
% 202.82/29.58 thf(zip_derived_cl12, plain, ( (r @ a @ b @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_012])).
% 202.82/29.58 thf(zip_derived_cl13, plain, ( (r @ b @ a @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_013])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl50, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (m @ a @ X2 @ X5) @ (m @ a @ X1 @ X4) @ (m @ b @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl1561, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ X0)
% 202.82/29.58 | ~ (r @ X3 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X4 @ X3) @ (m @ a @ X2 @ X1) @ b))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl50])).
% 202.82/29.58 thf(zip_derived_cl34425, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ a) | (r @ (m @ a @ b @ X1) @ (m @ a @ a @ X0) @ b))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl1561])).
% 202.82/29.58 thf(sos, axiom, (( m @ A @ A @ B ) = ( B ))).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl34440, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ a) | (r @ (m @ a @ b @ X1) @ X0 @ b))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl34425, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl34956, plain, ( (r @ (m @ a @ b @ a) @ b @ b)),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl12, zip_derived_cl34440])).
% 202.82/29.58 thf(zip_derived_cl11, plain, ( (r @ a @ a @ b)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_011])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl13, plain, ( (r @ b @ a @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_013])).
% 202.82/29.58 thf(zip_derived_cl8, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 202.82/29.58 X7 : $i, X8 : $i]:
% 202.82/29.58 (~ (r @ X0 @ X1 @ X2)
% 202.82/29.58 | ~ (r @ X3 @ X4 @ X5)
% 202.82/29.58 | ~ (r @ X6 @ X7 @ X8)
% 202.82/29.58 | (r @ (m @ X0 @ X3 @ X6) @ (m @ X1 @ X4 @ X7) @ (m @ X2 @ X5 @ X8)))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_008])).
% 202.82/29.58 thf(zip_derived_cl52, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (m @ b @ X2 @ X5) @ (m @ a @ X1 @ X4) @ (m @ a @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl1837, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ X0)
% 202.82/29.58 | ~ (r @ X3 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ b @ X4 @ X3) @ (m @ a @ X2 @ X1) @ a))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl52])).
% 202.82/29.58 thf(zip_derived_cl42961, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ b) | (r @ (m @ b @ a @ X1) @ (m @ a @ a @ X0) @ a))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1837])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl42980, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ b) | (r @ (m @ b @ a @ X1) @ X0 @ a))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl42961, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl43222, plain,
% 202.82/29.58 ( (r @ (m @ b @ a @ (m @ a @ b @ a)) @ b @ a)),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl34956, zip_derived_cl42980])).
% 202.82/29.58 thf(zip_derived_cl11, plain, ( (r @ a @ a @ b)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_011])).
% 202.82/29.58 thf(zip_derived_cl13, plain, ( (r @ b @ a @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_013])).
% 202.82/29.58 thf(zip_derived_cl11, plain, ( (r @ a @ a @ b)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_011])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl12, plain, ( (r @ a @ b @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_012])).
% 202.82/29.58 thf(zip_derived_cl8, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 202.82/29.58 X7 : $i, X8 : $i]:
% 202.82/29.58 (~ (r @ X0 @ X1 @ X2)
% 202.82/29.58 | ~ (r @ X3 @ X4 @ X5)
% 202.82/29.58 | ~ (r @ X6 @ X7 @ X8)
% 202.82/29.58 | (r @ (m @ X0 @ X3 @ X6) @ (m @ X1 @ X4 @ X7) @ (m @ X2 @ X5 @ X8)))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_008])).
% 202.82/29.58 thf(zip_derived_cl51, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (m @ a @ X2 @ X5) @ (m @ b @ X1 @ X4) @ (m @ a @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl1784, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ X1)
% 202.82/29.58 | ~ (r @ X3 @ X2 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X4 @ X3) @ b @ (m @ a @ X1 @ X0)))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl51])).
% 202.82/29.58 thf(zip_derived_cl40357, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ a @ X0) | (r @ (m @ a @ a @ X1) @ b @ (m @ a @ b @ X0)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1784])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl40378, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ a @ X0) | (r @ X1 @ b @ (m @ a @ b @ X0)))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl40357, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl40389, plain, ( (r @ b @ b @ (m @ a @ b @ a))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl13, zip_derived_cl40378])).
% 202.82/29.58 thf(zip_derived_cl13, plain, ( (r @ b @ a @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_013])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl50, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (m @ a @ X2 @ X5) @ (m @ a @ X1 @ X4) @ (m @ b @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl1565, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X3 @ X1)
% 202.82/29.58 | ~ (r @ X4 @ X2 @ X0)
% 202.82/29.58 | (r @ a @ (m @ a @ X3 @ X2) @ (m @ b @ X1 @ X0)))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl50])).
% 202.82/29.58 thf(zip_derived_cl36931, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ b @ X1 @ X0) | (r @ a @ (m @ a @ a @ X1) @ (m @ b @ a @ X0)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl1565])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl36945, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ b @ X1 @ X0) | (r @ a @ X1 @ (m @ b @ a @ X0)))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl36931, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl40687, plain,
% 202.82/29.58 ( (r @ a @ b @ (m @ b @ a @ (m @ a @ b @ a)))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl40389, zip_derived_cl36945])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl51, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (m @ a @ X2 @ X5) @ (m @ b @ X1 @ X4) @ (m @ a @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl1782, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ X0)
% 202.82/29.58 | ~ (r @ X3 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X4 @ X3) @ (m @ b @ X2 @ X1) @ a))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl51])).
% 202.82/29.58 thf(zip_derived_cl41467, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ (m @ b @ a @ (m @ a @ b @ a)))
% 202.82/29.58 | (r @ (m @ a @ a @ X1) @ (m @ b @ b @ X0) @ a))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl40687, zip_derived_cl1782])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl41766, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ (m @ b @ a @ (m @ a @ b @ a))) | (r @ X1 @ X0 @ a))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl41467, zip_derived_cl0, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl50, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (m @ a @ X2 @ X5) @ (m @ a @ X1 @ X4) @ (m @ b @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl1560, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ b)
% 202.82/29.58 | ~ (r @ X3 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X4 @ X3) @ (m @ a @ X2 @ X1) @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl50])).
% 202.82/29.58 thf(zip_derived_cl34405, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 202.82/29.58 (~ (r @ X3 @ X1 @ b)
% 202.82/29.58 | ~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X3 @ X2) @ a @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1560])).
% 202.82/29.58 thf(zip_derived_cl37463, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X2 @ b) | ~ (r @ X1 @ X2 @ X0) | (r @ a @ a @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl34405])).
% 202.82/29.58 thf(zip_derived_cl42009, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 ( (r @ a @ a @ a)
% 202.82/29.58 | ~ (r @ X1 @ X0 @ b)
% 202.82/29.58 | ~ (r @ X1 @ X0 @ (m @ b @ a @ (m @ a @ b @ a))))),
% 202.82/29.58 inference('s_sup+', [status(thm)],
% 202.82/29.58 [zip_derived_cl41766, zip_derived_cl37463])).
% 202.82/29.58 thf(goals, conjecture, (r @ a @ a @ a)).
% 202.82/29.58 thf(zf_stmt_0, negated_conjecture, (~( r @ a @ a @ a )),
% 202.82/29.58 inference('cnf.neg', [status(esa)], [goals])).
% 202.82/29.58 thf(zip_derived_cl14, plain, (~ (r @ a @ a @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 202.82/29.58 thf(zip_derived_cl42017, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ b) | ~ (r @ X1 @ X0 @ (m @ b @ a @ (m @ a @ b @ a))))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl42009, zip_derived_cl14])).
% 202.82/29.58 thf(zip_derived_cl42023, plain,
% 202.82/29.58 (~ (r @ a @ a @ (m @ b @ a @ (m @ a @ b @ a)))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl11, zip_derived_cl42017])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl51, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (m @ a @ X2 @ X5) @ (m @ b @ X1 @ X4) @ (m @ a @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl1781, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ a)
% 202.82/29.58 | ~ (r @ X3 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X4 @ X3) @ (m @ b @ X2 @ X1) @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl51])).
% 202.82/29.58 thf(zip_derived_cl38651, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 202.82/29.58 (~ (r @ X3 @ b @ a)
% 202.82/29.58 | ~ (r @ X2 @ X0 @ X1)
% 202.82/29.58 | (r @ (m @ a @ X3 @ X2) @ X0 @ X1))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1781])).
% 202.82/29.58 thf(zip_derived_cl38658, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X2 @ b @ a) | ~ (r @ X2 @ X1 @ X0) | (r @ a @ X1 @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl38651])).
% 202.82/29.58 thf(zip_derived_cl42029, plain,
% 202.82/29.58 (![X0 : $i]:
% 202.82/29.58 (~ (r @ X0 @ b @ a) | ~ (r @ X0 @ a @ (m @ b @ a @ (m @ a @ b @ a))))),
% 202.82/29.58 inference('s_sup+', [status(thm)],
% 202.82/29.58 [zip_derived_cl42023, zip_derived_cl38658])).
% 202.82/29.58 thf(zip_derived_cl43563, plain,
% 202.82/29.58 (~ (r @ (m @ b @ a @ (m @ a @ b @ a)) @ a @ (m @ b @ a @ (m @ a @ b @ a)))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl43222, zip_derived_cl42029])).
% 202.82/29.58 thf(zip_derived_cl12, plain, ( (r @ a @ b @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_012])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl50, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (m @ a @ X2 @ X5) @ (m @ a @ X1 @ X4) @ (m @ b @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl1563, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ X1)
% 202.82/29.58 | ~ (r @ X3 @ X2 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X4 @ X3) @ a @ (m @ b @ X1 @ X0)))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl50])).
% 202.82/29.58 thf(zip_derived_cl35470, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ b @ X0) | (r @ (m @ a @ a @ X1) @ a @ (m @ b @ a @ X0)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl1563])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl35483, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ b @ X0) | (r @ X1 @ a @ (m @ b @ a @ X0)))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl35470, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl44897, plain,
% 202.82/29.58 (~ (r @ (m @ b @ a @ (m @ a @ b @ a)) @ b @ (m @ a @ b @ a))),
% 202.82/29.58 inference('s_sup+', [status(thm)],
% 202.82/29.58 [zip_derived_cl43563, zip_derived_cl35483])).
% 202.82/29.58 thf(zip_derived_cl40378, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ a @ X0) | (r @ X1 @ b @ (m @ a @ b @ X0)))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl40357, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl44903, plain,
% 202.82/29.58 (~ (r @ (m @ b @ a @ (m @ a @ b @ a)) @ a @ a)),
% 202.82/29.58 inference('s_sup+', [status(thm)],
% 202.82/29.58 [zip_derived_cl44897, zip_derived_cl40378])).
% 202.82/29.58 thf(zip_derived_cl13, plain, ( (r @ b @ a @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_013])).
% 202.82/29.58 thf(zip_derived_cl12, plain, ( (r @ a @ b @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_012])).
% 202.82/29.58 thf(zip_derived_cl1561, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ X0)
% 202.82/29.58 | ~ (r @ X3 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X4 @ X3) @ (m @ a @ X2 @ X1) @ b))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl50])).
% 202.82/29.58 thf(zip_derived_cl34424, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ a) | (r @ (m @ a @ a @ X1) @ (m @ a @ b @ X0) @ b))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl1561])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl34439, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ a) | (r @ X1 @ (m @ a @ b @ X0) @ b))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl34424, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl34445, plain, ( (r @ b @ (m @ a @ b @ a) @ b)),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl13, zip_derived_cl34439])).
% 202.82/29.58 thf(zip_derived_cl11, plain, ( (r @ a @ a @ b)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_011])).
% 202.82/29.58 thf(zip_derived_cl1782, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ X0)
% 202.82/29.58 | ~ (r @ X3 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X4 @ X3) @ (m @ b @ X2 @ X1) @ a))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl51])).
% 202.82/29.58 thf(zip_derived_cl38687, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ b) | (r @ (m @ a @ a @ X1) @ (m @ b @ a @ X0) @ a))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1782])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl38703, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ b) | (r @ X1 @ (m @ b @ a @ X0) @ a))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl38687, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl38708, plain,
% 202.82/29.58 ( (r @ b @ (m @ b @ a @ (m @ a @ b @ a)) @ a)),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl34445, zip_derived_cl38703])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl34440, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ a) | (r @ (m @ a @ b @ X1) @ X0 @ b))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl34425, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl34958, plain,
% 202.82/29.58 (![X0 : $i]: (~ (r @ b @ X0 @ a) | (r @ a @ X0 @ b))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl34440])).
% 202.82/29.58 thf(zip_derived_cl39511, plain,
% 202.82/29.58 ( (r @ a @ (m @ b @ a @ (m @ a @ b @ a)) @ b)),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl38708, zip_derived_cl34958])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl1560, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ b)
% 202.82/29.58 | ~ (r @ X3 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X4 @ X3) @ (m @ a @ X2 @ X1) @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl50])).
% 202.82/29.58 thf(zip_derived_cl34406, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 202.82/29.58 (~ (r @ a @ X3 @ b)
% 202.82/29.58 | ~ (r @ X0 @ X2 @ X1)
% 202.82/29.58 | (r @ X0 @ (m @ a @ X3 @ X2) @ X1))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1560])).
% 202.82/29.58 thf(zip_derived_cl36906, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ a @ X1 @ b) | ~ (r @ X2 @ X1 @ X0) | (r @ X2 @ a @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl34406])).
% 202.82/29.58 thf(zip_derived_cl40053, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ (m @ b @ a @ (m @ a @ b @ a)) @ X0) | (r @ X1 @ a @ X0))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl39511, zip_derived_cl36906])).
% 202.82/29.58 thf(zip_derived_cl38703, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ b) | (r @ X1 @ (m @ b @ a @ X0) @ a))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl38687, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl40282, plain,
% 202.82/29.58 (![X0 : $i]: ( (r @ X0 @ a @ a) | ~ (r @ X0 @ (m @ a @ b @ a) @ b))),
% 202.82/29.58 inference('s_sup+', [status(thm)],
% 202.82/29.58 [zip_derived_cl40053, zip_derived_cl38703])).
% 202.82/29.58 thf(zip_derived_cl44910, plain,
% 202.82/29.58 (~ (r @ (m @ b @ a @ (m @ a @ b @ a)) @ (m @ a @ b @ a) @ b)),
% 202.82/29.58 inference('s_sup+', [status(thm)],
% 202.82/29.58 [zip_derived_cl44903, zip_derived_cl40282])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl8, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 202.82/29.58 X7 : $i, X8 : $i]:
% 202.82/29.58 (~ (r @ X0 @ X1 @ X2)
% 202.82/29.58 | ~ (r @ X3 @ X4 @ X5)
% 202.82/29.58 | ~ (r @ X6 @ X7 @ X8)
% 202.82/29.58 | (r @ (m @ X0 @ X3 @ X6) @ (m @ X1 @ X4 @ X7) @ (m @ X2 @ X5 @ X8)))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_008])).
% 202.82/29.58 thf(zip_derived_cl53, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 202.82/29.58 (~ (r @ X7 @ X4 @ X1)
% 202.82/29.58 | ~ (r @ X6 @ X3 @ X1)
% 202.82/29.58 | ~ (r @ X5 @ X2 @ X0)
% 202.82/29.58 | (r @ (m @ X7 @ X6 @ X5) @ (m @ X4 @ X3 @ X2) @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl2027, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 202.82/29.58 (~ (r @ X5 @ X4 @ X6)
% 202.82/29.58 | ~ (r @ X5 @ X3 @ X6)
% 202.82/29.58 | ~ (r @ X0 @ X2 @ X1)
% 202.82/29.58 | (r @ X0 @ (m @ X4 @ X3 @ X2) @ X1))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl53])).
% 202.82/29.58 thf(zip_derived_cl45997, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ a @ X0)
% 202.82/29.58 | ~ (r @ X1 @ b @ X0)
% 202.82/29.58 | ~ (r @ (m @ b @ a @ (m @ a @ b @ a)) @ a @ b))),
% 202.82/29.58 inference('s_sup+', [status(thm)],
% 202.82/29.58 [zip_derived_cl44910, zip_derived_cl2027])).
% 202.82/29.58 thf(zip_derived_cl43222, plain,
% 202.82/29.58 ( (r @ (m @ b @ a @ (m @ a @ b @ a)) @ b @ a)),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl34956, zip_derived_cl42980])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl34439, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X1 @ X0 @ a) | (r @ X1 @ (m @ a @ b @ X0) @ b))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl34424, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl34446, plain,
% 202.82/29.58 (![X0 : $i]: (~ (r @ X0 @ b @ a) | (r @ X0 @ a @ b))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl34439])).
% 202.82/29.58 thf(zip_derived_cl43562, plain,
% 202.82/29.58 ( (r @ (m @ b @ a @ (m @ a @ b @ a)) @ a @ b)),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl43222, zip_derived_cl34446])).
% 202.82/29.58 thf(zip_derived_cl46008, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: (~ (r @ X1 @ a @ X0) | ~ (r @ X1 @ b @ X0))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl45997, zip_derived_cl43562])).
% 202.82/29.58 thf(zip_derived_cl46014, plain,
% 202.82/29.58 (~ (r @ (m @ a @ (u @ a @ a @ b) @ a) @ b @ (m @ b @ a @ (u @ a @ a @ b)))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl33396, zip_derived_cl46008])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl53, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 202.82/29.58 (~ (r @ X7 @ X4 @ X1)
% 202.82/29.58 | ~ (r @ X6 @ X3 @ X1)
% 202.82/29.58 | ~ (r @ X5 @ X2 @ X0)
% 202.82/29.58 | (r @ (m @ X7 @ X6 @ X5) @ (m @ X4 @ X3 @ X2) @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl2026, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 202.82/29.58 (~ (r @ X5 @ X0 @ X6)
% 202.82/29.58 | ~ (r @ X4 @ X2 @ X6)
% 202.82/29.58 | ~ (r @ X3 @ X2 @ X1)
% 202.82/29.58 | (r @ (m @ X5 @ X4 @ X3) @ X0 @ X1))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl53])).
% 202.82/29.58 thf(zip_derived_cl49404, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ a @ b @ X0)
% 202.82/29.58 | ~ (r @ (u @ a @ a @ b) @ X1 @ X0)
% 202.82/29.58 | ~ (r @ a @ X1 @ (m @ b @ a @ (u @ a @ a @ b))))),
% 202.82/29.58 inference('s_sup+', [status(thm)],
% 202.82/29.58 [zip_derived_cl46014, zip_derived_cl2026])).
% 202.82/29.58 thf(zip_derived_cl55507, plain,
% 202.82/29.58 (![X0 : $i]:
% 202.82/29.58 (~ (r @ (u @ a @ a @ b) @ X0 @ a)
% 202.82/29.58 | ~ (r @ a @ X0 @ (m @ b @ a @ (u @ a @ a @ b))))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl12, zip_derived_cl49404])).
% 202.82/29.58 thf(zip_derived_cl55508, plain,
% 202.82/29.58 (~ (r @ a @ (u @ a @ a @ b) @ (m @ b @ a @ (u @ a @ a @ b)))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl1216, zip_derived_cl55507])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl8, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 202.82/29.58 X7 : $i, X8 : $i]:
% 202.82/29.58 (~ (r @ X0 @ X1 @ X2)
% 202.82/29.58 | ~ (r @ X3 @ X4 @ X5)
% 202.82/29.58 | ~ (r @ X6 @ X7 @ X8)
% 202.82/29.58 | (r @ (m @ X0 @ X3 @ X6) @ (m @ X1 @ X4 @ X7) @ (m @ X2 @ X5 @ X8)))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_008])).
% 202.82/29.58 thf(zip_derived_cl56, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 202.82/29.58 (~ (r @ X7 @ X0 @ X3)
% 202.82/29.58 | ~ (r @ X6 @ X4 @ X2)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X1)
% 202.82/29.58 | (r @ (m @ X7 @ X6 @ X5) @ X0 @ (m @ X3 @ X2 @ X1)))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl2709, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 202.82/29.58 (~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | ~ (r @ X5 @ X6 @ X2)
% 202.82/29.58 | ~ (r @ X0 @ X6 @ X1)
% 202.82/29.58 | (r @ X0 @ X4 @ (m @ X3 @ X2 @ X1)))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl56])).
% 202.82/29.58 thf(zip_derived_cl55511, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]:
% 202.82/29.58 (~ (r @ X0 @ (u @ a @ a @ b) @ b)
% 202.82/29.58 | ~ (r @ X0 @ X1 @ a)
% 202.82/29.58 | ~ (r @ a @ X1 @ (u @ a @ a @ b)))),
% 202.82/29.58 inference('s_sup+', [status(thm)],
% 202.82/29.58 [zip_derived_cl55508, zip_derived_cl2709])).
% 202.82/29.58 thf(zip_derived_cl55588, plain,
% 202.82/29.58 ((~ (r @ a @ (u @ a @ a @ b) @ b) | ~ (r @ a @ b @ (u @ a @ a @ b)))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl12, zip_derived_cl55511])).
% 202.82/29.58 thf(zip_derived_cl13, plain, ( (r @ b @ a @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_013])).
% 202.82/29.58 thf(zip_derived_cl12, plain, ( (r @ a @ b @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_012])).
% 202.82/29.58 thf(zip_derived_cl11, plain, ( (r @ a @ a @ b)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_011])).
% 202.82/29.58 thf(sos_009, axiom,
% 202.82/29.58 (( ~( r @ X0 @ X1 @ X2 ) ) | ( ~( r @ X3 @ X4 @ X5 ) ) |
% 202.82/29.58 ( ~( r @ X6 @ X7 @ X8 ) ) |
% 202.82/29.58 ( r @ ( u @ X0 @ X3 @ X6 ) @ ( u @ X1 @ X4 @ X7 ) @ ( u @ X2 @ X5 @ X8 ) ))).
% 202.82/29.58 thf(zip_derived_cl9, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 202.82/29.58 X7 : $i, X8 : $i]:
% 202.82/29.58 (~ (r @ X0 @ X1 @ X2)
% 202.82/29.58 | ~ (r @ X3 @ X4 @ X5)
% 202.82/29.58 | ~ (r @ X6 @ X7 @ X8)
% 202.82/29.58 | (r @ (u @ X0 @ X3 @ X6) @ (u @ X1 @ X4 @ X7) @ (u @ X2 @ X5 @ X8)))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_009])).
% 202.82/29.58 thf(zip_derived_cl59, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (u @ a @ X2 @ X5) @ (u @ a @ X1 @ X4) @ (u @ b @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl9])).
% 202.82/29.58 thf(zip_derived_cl3117, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | (r @ (u @ a @ a @ X2) @ (u @ a @ b @ X1) @ (u @ b @ a @ X0)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl59])).
% 202.82/29.58 thf(zip_derived_cl50319, plain,
% 202.82/29.58 ( (r @ (u @ a @ a @ b) @ (u @ a @ b @ a) @ (u @ b @ a @ a))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl3117])).
% 202.82/29.58 thf(sos_004, axiom, (( u @ A @ A @ B ) = ( u @ A @ B @ A ))).
% 202.82/29.58 thf(zip_derived_cl4, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (u @ X0 @ X1 @ X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_004])).
% 202.82/29.58 thf(zip_derived_cl18, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((v @ X0 @ X1) = (u @ X1 @ X1 @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 202.82/29.58 thf(sos_005, axiom, (( u @ A @ A @ B ) = ( u @ B @ A @ A ))).
% 202.82/29.58 thf(zip_derived_cl5, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X1 @ X1 @ X0) = (u @ X0 @ X1 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_005])).
% 202.82/29.58 thf(zip_derived_cl85, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((v @ X1 @ X0) = (u @ X1 @ X0 @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl5])).
% 202.82/29.58 thf(zip_derived_cl7, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (v @ X0 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_007])).
% 202.82/29.58 thf(zip_derived_cl5, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X1 @ X1 @ X0) = (u @ X0 @ X1 @ X1))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_005])).
% 202.82/29.58 thf(zip_derived_cl29, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((v @ X1 @ X0) = (u @ X0 @ X1 @ X1))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 202.82/29.58 thf(zip_derived_cl203, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X1 @ X0 @ X0) = (u @ X0 @ X1 @ X1))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl29])).
% 202.82/29.58 thf(zip_derived_cl18, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((v @ X0 @ X1) = (u @ X1 @ X1 @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 202.82/29.58 thf(zip_derived_cl4, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (u @ X0 @ X1 @ X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_004])).
% 202.82/29.58 thf(zip_derived_cl82, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((v @ X1 @ X0) = (u @ X0 @ X1 @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 202.82/29.58 thf(zip_derived_cl29, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((v @ X1 @ X0) = (u @ X0 @ X1 @ X1))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 202.82/29.58 thf(zip_derived_cl152, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X1 @ X0) = (u @ X0 @ X1 @ X1))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl29])).
% 202.82/29.58 thf(zip_derived_cl4, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (u @ X0 @ X1 @ X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_004])).
% 202.82/29.58 thf(zip_derived_cl50383, plain,
% 202.82/29.58 ( (r @ (u @ a @ a @ b) @ (u @ a @ a @ b) @ (u @ a @ a @ b))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl50319, zip_derived_cl4, zip_derived_cl203,
% 202.82/29.58 zip_derived_cl152, zip_derived_cl4])).
% 202.82/29.58 thf(zip_derived_cl13, plain, ( (r @ b @ a @ a)),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_013])).
% 202.82/29.58 thf(zip_derived_cl47, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | (r @ (u @ a @ a @ X2) @ (u @ a @ a @ X1) @ (u @ b @ b @ X0)))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl32, zip_derived_cl7, zip_derived_cl7,
% 202.82/29.58 zip_derived_cl7])).
% 202.82/29.58 thf(zip_derived_cl1001, plain,
% 202.82/29.58 ( (r @ (u @ a @ a @ b) @ (u @ a @ a @ a) @ (u @ b @ b @ a))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl47])).
% 202.82/29.58 thf(zip_derived_cl2, plain, (![X0 : $i]: ((u @ X0 @ X0 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_002])).
% 202.82/29.58 thf(zip_derived_cl91, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((u @ X0 @ X0 @ X1) = (u @ X1 @ X1 @ X0))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 202.82/29.58 thf(zip_derived_cl1061, plain,
% 202.82/29.58 ( (r @ (u @ a @ a @ b) @ a @ (u @ a @ a @ b))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl1001, zip_derived_cl2, zip_derived_cl91])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl1561, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 202.82/29.58 (~ (r @ X4 @ X2 @ X0)
% 202.82/29.58 | ~ (r @ X3 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ X4 @ X3) @ (m @ a @ X2 @ X1) @ b))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl50])).
% 202.82/29.58 thf(zip_derived_cl34426, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 202.82/29.58 (~ (r @ X2 @ a @ X3)
% 202.82/29.58 | ~ (r @ X1 @ X0 @ X3)
% 202.82/29.58 | (r @ (m @ a @ X2 @ X1) @ X0 @ b))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1561])).
% 202.82/29.58 thf(zip_derived_cl37517, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X1 @ a @ X2) | ~ (r @ X1 @ X0 @ X2) | (r @ a @ X0 @ b))),
% 202.82/29.58 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl34426])).
% 202.82/29.58 thf(zip_derived_cl37627, plain,
% 202.82/29.58 (![X0 : $i]:
% 202.82/29.58 (~ (r @ (u @ a @ a @ b) @ X0 @ (u @ a @ a @ b)) | (r @ a @ X0 @ b))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl1061, zip_derived_cl37517])).
% 202.82/29.58 thf(zip_derived_cl110096, plain, ( (r @ a @ (u @ a @ a @ b) @ b)),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl50383, zip_derived_cl37627])).
% 202.82/29.58 thf(zip_derived_cl110438, plain, (~ (r @ a @ b @ (u @ a @ a @ b))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl55588, zip_derived_cl110096])).
% 202.82/29.58 thf(zip_derived_cl50383, plain,
% 202.82/29.58 ( (r @ (u @ a @ a @ b) @ (u @ a @ a @ b) @ (u @ a @ a @ b))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl50319, zip_derived_cl4, zip_derived_cl203,
% 202.82/29.58 zip_derived_cl152, zip_derived_cl4])).
% 202.82/29.58 thf(zip_derived_cl1216, plain,
% 202.82/29.58 ( (r @ (u @ a @ a @ b) @ (u @ a @ a @ b) @ a)),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl1154, zip_derived_cl91, zip_derived_cl2])).
% 202.82/29.58 thf(zip_derived_cl51, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | ~ (r @ X5 @ X4 @ X3)
% 202.82/29.58 | (r @ (m @ a @ X2 @ X5) @ (m @ b @ X1 @ X4) @ (m @ a @ X0 @ X3)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl8])).
% 202.82/29.58 thf(zip_derived_cl1775, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ (u @ a @ a @ b) @ X2) @
% 202.82/29.58 (m @ b @ (u @ a @ a @ b) @ X1) @ (m @ a @ a @ X0)))),
% 202.82/29.58 inference('s_sup-', [status(thm)], [zip_derived_cl1216, zip_derived_cl51])).
% 202.82/29.58 thf(zip_derived_cl0, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X1 @ X1 @ X0) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos])).
% 202.82/29.58 thf(zip_derived_cl1787, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 202.82/29.58 (~ (r @ X2 @ X1 @ X0)
% 202.82/29.58 | (r @ (m @ a @ (u @ a @ a @ b) @ X2) @
% 202.82/29.58 (m @ b @ (u @ a @ a @ b) @ X1) @ X0))),
% 202.82/29.58 inference('demod', [status(thm)], [zip_derived_cl1775, zip_derived_cl0])).
% 202.82/29.58 thf(zip_derived_cl109659, plain,
% 202.82/29.58 ( (r @ (m @ a @ (u @ a @ a @ b) @ (u @ a @ a @ b)) @
% 202.82/29.58 (m @ b @ (u @ a @ a @ b) @ (u @ a @ a @ b)) @ (u @ a @ a @ b))),
% 202.82/29.58 inference('s_sup-', [status(thm)],
% 202.82/29.58 [zip_derived_cl50383, zip_derived_cl1787])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl1, plain,
% 202.82/29.58 (![X0 : $i, X1 : $i]: ((m @ X0 @ X1 @ X1) = (X0))),
% 202.82/29.58 inference('cnf', [status(esa)], [sos_001])).
% 202.82/29.58 thf(zip_derived_cl110134, plain, ( (r @ a @ b @ (u @ a @ a @ b))),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl109659, zip_derived_cl1, zip_derived_cl1])).
% 202.82/29.58 thf(zip_derived_cl112709, plain, ($false),
% 202.82/29.58 inference('demod', [status(thm)],
% 202.82/29.58 [zip_derived_cl110438, zip_derived_cl110134])).
% 202.82/29.58
% 202.82/29.58 % SZS output end Refutation
% 202.82/29.58
% 202.82/29.58
% 202.82/29.58 % Terminating...
% 203.09/29.63 % Runner terminated.
% 203.09/29.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------