TSTP Solution File: SYO620-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO620-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GIe5ysXb2N true
% Computer : n020.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 : Fri Sep 1 05:52:19 EDT 2023
% Result : Unsatisfiable 64.61s 9.93s
% Output : Refutation 64.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO620-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GIe5ysXb2N true
% 0.13/0.34 % Computer : n020.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
% 0.13/0.35 % DateTime : Sat Aug 26 05:41:15 EDT 2023
% 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
% 0.13/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 64.61/9.93 % Solved by fo/fo1_av.sh.
% 64.61/9.93 % done 5197 iterations in 9.151s
% 64.61/9.93 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 64.61/9.93 % SZS output start Refutation
% 64.61/9.93 thf(a0_type, type, a0: $i).
% 64.61/9.93 thf(max_type, type, max: $i > $i > $i).
% 64.61/9.93 thf(a2_type, type, a2: $i).
% 64.61/9.93 thf(f_type, type, f: $i > $i).
% 64.61/9.93 thf(s_type, type, s: $i > $i).
% 64.61/9.93 thf(le_type, type, le: $i > $i > $o).
% 64.61/9.93 thf(a3_type, type, a3: $i).
% 64.61/9.93 thf(a1_type, type, a1: $i).
% 64.61/9.93 thf(eq_type, type, eq: $i > $i > $o).
% 64.61/9.93 thf(sos_02, axiom, (( ~( le @ ( max @ A @ B ) @ C ) ) | ( le @ A @ C ))).
% 64.61/9.93 thf(zip_derived_cl1, plain,
% 64.61/9.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.93 (~ (le @ (max @ X0 @ X1) @ X2) | (le @ X0 @ X2))),
% 64.61/9.93 inference('cnf', [status(esa)], [sos_02])).
% 64.61/9.93 thf(sos_01, axiom, (le @ A @ A)).
% 64.61/9.93 thf(zip_derived_cl0, plain, (![X0 : $i]: (le @ X0 @ X0)),
% 64.61/9.93 inference('cnf', [status(esa)], [sos_01])).
% 64.61/9.93 thf(zip_derived_cl8, plain,
% 64.61/9.93 (![X0 : $i, X1 : $i]: (le @ X1 @ (max @ X1 @ X0))),
% 64.61/9.93 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 64.61/9.93 thf(sos_08, axiom,
% 64.61/9.93 (( ~( eq @ ( f @ A0 ) @ a3 ) ) | ( ~( eq @ ( f @ A1 ) @ a3 ) ) |
% 64.61/9.93 ( ~( le @ ( s @ A0 ) @ A1 ) ))).
% 64.61/9.93 thf(zip_derived_cl7, plain,
% 64.61/9.93 (![X0 : $i, X1 : $i]:
% 64.61/9.93 (~ (eq @ (f @ X0) @ a3)
% 64.61/9.93 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.93 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.93 inference('cnf', [status(esa)], [sos_08])).
% 64.61/9.93 thf(zip_derived_cl30, plain,
% 64.61/9.93 (![X0 : $i, X1 : $i]:
% 64.61/9.93 (~ (eq @ (f @ X1) @ a3) | ~ (eq @ (f @ (max @ (s @ X1) @ X0)) @ a3))),
% 64.61/9.93 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 64.61/9.93 thf(sos_04, axiom,
% 64.61/9.93 (( eq @ ( f @ A ) @ a0 ) | ( eq @ ( f @ A ) @ a1 ) |
% 64.61/9.93 ( eq @ ( f @ A ) @ a2 ) | ( eq @ ( f @ A ) @ a3 ))).
% 64.61/9.93 thf(zip_derived_cl3, plain,
% 64.61/9.93 (![X0 : $i]:
% 64.61/9.93 ( (eq @ (f @ X0) @ a0)
% 64.61/9.93 | (eq @ (f @ X0) @ a1)
% 64.61/9.93 | (eq @ (f @ X0) @ a2)
% 64.61/9.93 | (eq @ (f @ X0) @ a3))),
% 64.61/9.93 inference('cnf', [status(esa)], [sos_04])).
% 64.61/9.93 thf(zip_derived_cl46, plain,
% 64.61/9.93 (![X0 : $i, X1 : $i]:
% 64.61/9.93 (~ (eq @ (f @ X1) @ a3)
% 64.61/9.93 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.93 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a2))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl3])).
% 64.61/9.94 thf(zip_derived_cl8, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]: (le @ X1 @ (max @ X1 @ X0))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 64.61/9.94 thf(sos_07, axiom,
% 64.61/9.94 (( ~( eq @ ( f @ A0 ) @ a2 ) ) | ( ~( eq @ ( f @ A1 ) @ a2 ) ) |
% 64.61/9.94 ( ~( le @ ( s @ A0 ) @ A1 ) ))).
% 64.61/9.94 thf(zip_derived_cl6, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_07])).
% 64.61/9.94 thf(zip_derived_cl26, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a2) | ~ (eq @ (f @ (max @ (s @ X1) @ X0)) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 64.61/9.94 thf(zip_derived_cl109, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl26])).
% 64.61/9.94 thf(sos_03, axiom, (( ~( le @ ( max @ A @ B ) @ C ) ) | ( le @ B @ C ))).
% 64.61/9.94 thf(zip_derived_cl2, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (le @ (max @ X0 @ X1) @ X2) | (le @ X1 @ X2))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_03])).
% 64.61/9.94 thf(zip_derived_cl0, plain, (![X0 : $i]: (le @ X0 @ X0)),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_01])).
% 64.61/9.94 thf(zip_derived_cl11, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]: (le @ X0 @ (max @ X1 @ X0))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 64.61/9.94 thf(sos_06, axiom,
% 64.61/9.94 (( ~( eq @ ( f @ A0 ) @ a1 ) ) | ( ~( eq @ ( f @ A1 ) @ a1 ) ) |
% 64.61/9.94 ( ~( le @ ( s @ A0 ) @ A1 ) ))).
% 64.61/9.94 thf(zip_derived_cl5, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_06])).
% 64.61/9.94 thf(zip_derived_cl23, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl5])).
% 64.61/9.94 thf(zip_derived_cl659, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ (s @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl23])).
% 64.61/9.94 thf(zip_derived_cl109, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl26])).
% 64.61/9.94 thf(zip_derived_cl8, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]: (le @ X1 @ (max @ X1 @ X0))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 64.61/9.94 thf(zip_derived_cl5, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_06])).
% 64.61/9.94 thf(zip_derived_cl22, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a1) | ~ (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 64.61/9.94 thf(zip_derived_cl658, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl22])).
% 64.61/9.94 thf(zip_derived_cl11, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]: (le @ X0 @ (max @ X1 @ X0))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 64.61/9.94 thf(sos_05, axiom,
% 64.61/9.94 (( ~( eq @ ( f @ A0 ) @ a0 ) ) | ( ~( eq @ ( f @ A1 ) @ a0 ) ) |
% 64.61/9.94 ( ~( le @ ( s @ A0 ) @ A1 ) ))).
% 64.61/9.94 thf(zip_derived_cl4, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a0)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_05])).
% 64.61/9.94 thf(zip_derived_cl19, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 64.61/9.94 thf(zip_derived_cl697, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl658, zip_derived_cl19])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf(zip_derived_cl2129, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl659, zip_derived_cl713])).
% 64.61/9.94 thf(zip_derived_cl2134, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2129])).
% 64.61/9.94 thf(zip_derived_cl46, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a2))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl3])).
% 64.61/9.94 thf(zip_derived_cl11, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]: (le @ X0 @ (max @ X1 @ X0))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 64.61/9.94 thf(zip_derived_cl1, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (le @ (max @ X0 @ X1) @ X2) | (le @ X0 @ X2))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_02])).
% 64.61/9.94 thf(zip_derived_cl17, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]: (le @ X1 @ (max @ X2 @ (max @ X1 @ X0)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 64.61/9.94 thf(zip_derived_cl6, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_07])).
% 64.61/9.94 thf(zip_derived_cl54, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ (max @ X2 @ (max @ (s @ X1) @ X0))) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl6])).
% 64.61/9.94 thf(zip_derived_cl111, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0))) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl54])).
% 64.61/9.94 thf(zip_derived_cl2141, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('s_sup+', [status(thm)],
% 64.61/9.94 [zip_derived_cl2134, zip_derived_cl111])).
% 64.61/9.94 thf(zip_derived_cl11, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]: (le @ X0 @ (max @ X1 @ X0))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 64.61/9.94 thf(zip_derived_cl2, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (le @ (max @ X0 @ X1) @ X2) | (le @ X1 @ X2))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_03])).
% 64.61/9.94 thf(zip_derived_cl18, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]: (le @ X0 @ (max @ X2 @ (max @ X1 @ X0)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 64.61/9.94 thf(zip_derived_cl4, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a0)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_05])).
% 64.61/9.94 thf(zip_derived_cl58, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ (max @ X2 @ (max @ X1 @ (s @ X0)))) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 64.61/9.94 thf(zip_derived_cl3041, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2141, zip_derived_cl58])).
% 64.61/9.94 thf('0', plain,
% 64.61/9.94 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a0))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl3041])).
% 64.61/9.94 thf(zip_derived_cl2134, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2129])).
% 64.61/9.94 thf(zip_derived_cl46, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a2))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl3])).
% 64.61/9.94 thf(zip_derived_cl11, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]: (le @ X0 @ (max @ X1 @ X0))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 64.61/9.94 thf(zip_derived_cl6, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_07])).
% 64.61/9.94 thf(zip_derived_cl27, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a2) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl6])).
% 64.61/9.94 thf(zip_derived_cl110, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X1) @ (s @ X0))) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ (s @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl27])).
% 64.61/9.94 thf(zip_derived_cl2139, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X1) @ (s @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a2)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('s_sup+', [status(thm)],
% 64.61/9.94 [zip_derived_cl2134, zip_derived_cl110])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf(zip_derived_cl2500, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]: (~ (eq @ (f @ X0) @ a2) | ~ (eq @ (f @ X1) @ a3)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2139, zip_derived_cl713])).
% 64.61/9.94 thf(zip_derived_cl2503, plain,
% 64.61/9.94 ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2500])).
% 64.61/9.94 thf(zip_derived_cl3, plain,
% 64.61/9.94 (![X0 : $i]:
% 64.61/9.94 ( (eq @ (f @ X0) @ a0)
% 64.61/9.94 | (eq @ (f @ X0) @ a1)
% 64.61/9.94 | (eq @ (f @ X0) @ a2)
% 64.61/9.94 | (eq @ (f @ X0) @ a3))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_04])).
% 64.61/9.94 thf(zip_derived_cl2505, plain,
% 64.61/9.94 ((![X0 : $i]:
% 64.61/9.94 ( (eq @ (f @ X0) @ a0)
% 64.61/9.94 | (eq @ (f @ X0) @ a1)
% 64.61/9.94 | (eq @ (f @ X0) @ a2)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2503, zip_derived_cl3])).
% 64.61/9.94 thf(zip_derived_cl26, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a2) | ~ (eq @ (f @ (max @ (s @ X1) @ X0)) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 64.61/9.94 thf(zip_derived_cl2664, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2505, zip_derived_cl26])).
% 64.61/9.94 thf(zip_derived_cl2134, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2129])).
% 64.61/9.94 thf(zip_derived_cl11356, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a2) | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2664, zip_derived_cl2134])).
% 64.61/9.94 thf(zip_derived_cl19, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 64.61/9.94 thf(zip_derived_cl11749, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]: (~ (eq @ (f @ X1) @ a2) | ~ (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl11356, zip_derived_cl19])).
% 64.61/9.94 thf('1', plain,
% 64.61/9.94 (~ (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl11749])).
% 64.61/9.94 thf(zip_derived_cl2664, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2505, zip_derived_cl26])).
% 64.61/9.94 thf(zip_derived_cl17, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]: (le @ X1 @ (max @ X2 @ (max @ X1 @ X0)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 64.61/9.94 thf(zip_derived_cl5, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_06])).
% 64.61/9.94 thf(zip_derived_cl53, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ (max @ X2 @ (max @ (s @ X1) @ X0))) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl5])).
% 64.61/9.94 thf(zip_derived_cl11361, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X2) @ a2)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a1)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2664, zip_derived_cl53])).
% 64.61/9.94 thf(zip_derived_cl58, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ (max @ X2 @ (max @ X1 @ (s @ X0)))) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 64.61/9.94 thf(zip_derived_cl12010, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl11361, zip_derived_cl58])).
% 64.61/9.94 thf('2', plain,
% 64.61/9.94 (~ (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl12010])).
% 64.61/9.94 thf(zip_derived_cl2504, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2500])).
% 64.61/9.94 thf(zip_derived_cl46, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a2))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl3])).
% 64.61/9.94 thf(zip_derived_cl2507, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2504, zip_derived_cl46])).
% 64.61/9.94 thf(zip_derived_cl53, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ (max @ X2 @ (max @ (s @ X1) @ X0))) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl5])).
% 64.61/9.94 thf(zip_derived_cl6546, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a1)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2507, zip_derived_cl53])).
% 64.61/9.94 thf(zip_derived_cl58, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ (max @ X2 @ (max @ X1 @ (s @ X0)))) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 64.61/9.94 thf(zip_derived_cl7314, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl6546, zip_derived_cl58])).
% 64.61/9.94 thf('3', plain,
% 64.61/9.94 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)) |
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl7314])).
% 64.61/9.94 thf(zip_derived_cl2507, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2504, zip_derived_cl46])).
% 64.61/9.94 thf(zip_derived_cl23, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl5])).
% 64.61/9.94 thf(zip_derived_cl6545, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X1) @ (s @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a1)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2507, zip_derived_cl23])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf(zip_derived_cl7208, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]: (~ (eq @ (f @ X0) @ a1) | ~ (eq @ (f @ X1) @ a3)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl6545, zip_derived_cl713])).
% 64.61/9.94 thf('4', plain,
% 64.61/9.94 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)) |
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl7208])).
% 64.61/9.94 thf(zip_derived_cl2505, plain,
% 64.61/9.94 ((![X0 : $i]:
% 64.61/9.94 ( (eq @ (f @ X0) @ a0)
% 64.61/9.94 | (eq @ (f @ X0) @ a1)
% 64.61/9.94 | (eq @ (f @ X0) @ a2)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2503, zip_derived_cl3])).
% 64.61/9.94 thf(zip_derived_cl2504, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2500])).
% 64.61/9.94 thf(zip_derived_cl2662, plain,
% 64.61/9.94 ((![X0 : $i]: ( (eq @ (f @ X0) @ a1) | (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2505, zip_derived_cl2504])).
% 64.61/9.94 thf(zip_derived_cl5, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_06])).
% 64.61/9.94 thf(zip_derived_cl0, plain, (![X0 : $i]: (le @ X0 @ X0)),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_01])).
% 64.61/9.94 thf(zip_derived_cl20, plain,
% 64.61/9.94 (![X0 : $i]: (~ (eq @ (f @ (s @ X0)) @ a1) | ~ (eq @ (f @ X0) @ a1))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 64.61/9.94 thf(zip_derived_cl2797, plain,
% 64.61/9.94 ((![X0 : $i]: ( (eq @ (f @ (s @ X0)) @ a0) | ~ (eq @ (f @ X0) @ a1)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2662, zip_derived_cl20])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf(zip_derived_cl4606, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2797, zip_derived_cl713])).
% 64.61/9.94 thf(zip_derived_cl2662, plain,
% 64.61/9.94 ((![X0 : $i]: ( (eq @ (f @ X0) @ a1) | (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2505, zip_derived_cl2504])).
% 64.61/9.94 thf(zip_derived_cl4608, plain,
% 64.61/9.94 ((![X0 : $i]: (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup+', [status(thm)],
% 64.61/9.94 [zip_derived_cl4606, zip_derived_cl2662])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf('5', plain,
% 64.61/9.94 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 ~ (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl4608, zip_derived_cl713])).
% 64.61/9.94 thf(zip_derived_cl2664, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2505, zip_derived_cl26])).
% 64.61/9.94 thf(zip_derived_cl23, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl5])).
% 64.61/9.94 thf(zip_derived_cl11360, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ (s @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a1)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2664, zip_derived_cl23])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf(zip_derived_cl11988, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]: (~ (eq @ (f @ X0) @ a1) | ~ (eq @ (f @ X1) @ a2)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl11360, zip_derived_cl713])).
% 64.61/9.94 thf('6', plain,
% 64.61/9.94 (~ (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl11988])).
% 64.61/9.94 thf(zip_derived_cl2505, plain,
% 64.61/9.94 ((![X0 : $i]:
% 64.61/9.94 ( (eq @ (f @ X0) @ a0)
% 64.61/9.94 | (eq @ (f @ X0) @ a1)
% 64.61/9.94 | (eq @ (f @ X0) @ a2)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2503, zip_derived_cl3])).
% 64.61/9.94 thf(zip_derived_cl2505, plain,
% 64.61/9.94 ((![X0 : $i]:
% 64.61/9.94 ( (eq @ (f @ X0) @ a0)
% 64.61/9.94 | (eq @ (f @ X0) @ a1)
% 64.61/9.94 | (eq @ (f @ X0) @ a2)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2503, zip_derived_cl3])).
% 64.61/9.94 thf(zip_derived_cl6, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_07])).
% 64.61/9.94 thf(zip_derived_cl0, plain, (![X0 : $i]: (le @ X0 @ X0)),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_01])).
% 64.61/9.94 thf(zip_derived_cl24, plain,
% 64.61/9.94 (![X0 : $i]: (~ (eq @ (f @ (s @ X0)) @ a2) | ~ (eq @ (f @ X0) @ a2))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 64.61/9.94 thf(zip_derived_cl2727, plain,
% 64.61/9.94 ((![X0 : $i]:
% 64.61/9.94 ( (eq @ (f @ (s @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (s @ X0)) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a2)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2505, zip_derived_cl24])).
% 64.61/9.94 thf(zip_derived_cl2134, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2129])).
% 64.61/9.94 thf(zip_derived_cl2929, plain,
% 64.61/9.94 ((![X0 : $i]: (~ (eq @ (f @ X0) @ a2) | (eq @ (f @ (s @ X0)) @ a0)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2727, zip_derived_cl2134])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf(zip_derived_cl5561, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2929, zip_derived_cl713])).
% 64.61/9.94 thf(zip_derived_cl5581, plain,
% 64.61/9.94 ((![X0 : $i]: ( (eq @ (f @ X0) @ a1) | (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2505, zip_derived_cl5561])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf(zip_derived_cl5599, plain,
% 64.61/9.94 ((![X0 : $i]: (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)))),
% 64.61/9.94 inference('demod', [status(thm)], [zip_derived_cl5581, zip_derived_cl713])).
% 64.61/9.94 thf(zip_derived_cl2134, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2129])).
% 64.61/9.94 thf('7', plain,
% 64.61/9.94 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 64.61/9.94 ~ (![X1 : $i]: ~ (eq @ (f @ X1) @ a3))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl5599, zip_derived_cl2134])).
% 64.61/9.94 thf(zip_derived_cl3, plain,
% 64.61/9.94 (![X0 : $i]:
% 64.61/9.94 ( (eq @ (f @ X0) @ a0)
% 64.61/9.94 | (eq @ (f @ X0) @ a1)
% 64.61/9.94 | (eq @ (f @ X0) @ a2)
% 64.61/9.94 | (eq @ (f @ X0) @ a3))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_04])).
% 64.61/9.94 thf(zip_derived_cl2504, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2500])).
% 64.61/9.94 thf(zip_derived_cl7, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_08])).
% 64.61/9.94 thf(zip_derived_cl0, plain, (![X0 : $i]: (le @ X0 @ X0)),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_01])).
% 64.61/9.94 thf(zip_derived_cl28, plain,
% 64.61/9.94 (![X0 : $i]: (~ (eq @ (f @ (s @ X0)) @ a3) | ~ (eq @ (f @ X0) @ a3))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 64.61/9.94 thf(zip_derived_cl3, plain,
% 64.61/9.94 (![X0 : $i]:
% 64.61/9.94 ( (eq @ (f @ X0) @ a0)
% 64.61/9.94 | (eq @ (f @ X0) @ a1)
% 64.61/9.94 | (eq @ (f @ X0) @ a2)
% 64.61/9.94 | (eq @ (f @ X0) @ a3))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_04])).
% 64.61/9.94 thf(zip_derived_cl32, plain,
% 64.61/9.94 (![X0 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a3)
% 64.61/9.94 | (eq @ (f @ (s @ X0)) @ a0)
% 64.61/9.94 | (eq @ (f @ (s @ X0)) @ a1)
% 64.61/9.94 | (eq @ (f @ (s @ X0)) @ a2))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl3])).
% 64.61/9.94 thf(zip_derived_cl2518, plain,
% 64.61/9.94 ((![X0 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a3)
% 64.61/9.94 | (eq @ (f @ (s @ X0)) @ a0)
% 64.61/9.94 | (eq @ (f @ (s @ X0)) @ a1)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2504, zip_derived_cl32])).
% 64.61/9.94 thf(zip_derived_cl2134, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2129])).
% 64.61/9.94 thf(zip_derived_cl2729, plain,
% 64.61/9.94 ((![X0 : $i]: ( (eq @ (f @ (s @ X0)) @ a0) | ~ (eq @ (f @ X0) @ a3)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2518, zip_derived_cl2134])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf(zip_derived_cl3681, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a3))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2729, zip_derived_cl713])).
% 64.61/9.94 thf(zip_derived_cl3684, plain,
% 64.61/9.94 ((![X0 : $i]:
% 64.61/9.94 ( (eq @ (f @ X0) @ a2)
% 64.61/9.94 | (eq @ (f @ X0) @ a1)
% 64.61/9.94 | (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl3681])).
% 64.61/9.94 thf(zip_derived_cl2134, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2129])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf(zip_derived_cl3685, plain,
% 64.61/9.94 ((![X0 : $i]: (eq @ (f @ X0) @ a2))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('demod', [status(thm)],
% 64.61/9.94 [zip_derived_cl3684, zip_derived_cl2134, zip_derived_cl713])).
% 64.61/9.94 thf(zip_derived_cl2504, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2500])).
% 64.61/9.94 thf('8', plain,
% 64.61/9.94 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl3685, zip_derived_cl2504])).
% 64.61/9.94 thf('9', plain,
% 64.61/9.94 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)) |
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2500])).
% 64.61/9.94 thf(zip_derived_cl111, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0))) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl54])).
% 64.61/9.94 thf(zip_derived_cl18, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]: (le @ X0 @ (max @ X2 @ (max @ X1 @ X0)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 64.61/9.94 thf(zip_derived_cl5, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_06])).
% 64.61/9.94 thf(zip_derived_cl59, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ (max @ X2 @ (max @ X1 @ (s @ X0)))) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl5])).
% 64.61/9.94 thf(zip_derived_cl752, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a3)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ (s @ X0)))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl59])).
% 64.61/9.94 thf(zip_derived_cl713, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl697])).
% 64.61/9.94 thf(zip_derived_cl32276, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl752, zip_derived_cl713])).
% 64.61/9.94 thf('10', plain,
% 64.61/9.94 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl32276])).
% 64.61/9.94 thf(zip_derived_cl2662, plain,
% 64.61/9.94 ((![X0 : $i]: ( (eq @ (f @ X0) @ a1) | (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2505, zip_derived_cl2504])).
% 64.61/9.94 thf(zip_derived_cl2134, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2129])).
% 64.61/9.94 thf(zip_derived_cl2733, plain,
% 64.61/9.94 ((![X0 : $i]: (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2662, zip_derived_cl2134])).
% 64.61/9.94 thf(zip_derived_cl8, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]: (le @ X1 @ (max @ X1 @ X0))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 64.61/9.94 thf(zip_derived_cl4, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a0)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_05])).
% 64.61/9.94 thf(zip_derived_cl16, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a0) | ~ (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 64.61/9.94 thf(zip_derived_cl2799, plain,
% 64.61/9.94 ((![X1 : $i]: ~ (eq @ (f @ X1) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2733, zip_derived_cl16])).
% 64.61/9.94 thf(zip_derived_cl2733, plain,
% 64.61/9.94 ((![X0 : $i]: (eq @ (f @ X0) @ a0))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2662, zip_derived_cl2134])).
% 64.61/9.94 thf('11', plain,
% 64.61/9.94 (~ (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a1))),
% 64.61/9.94 inference('demod', [status(thm)],
% 64.61/9.94 [zip_derived_cl2799, zip_derived_cl2733])).
% 64.61/9.94 thf(zip_derived_cl2662, plain,
% 64.61/9.94 ((![X0 : $i]: ( (eq @ (f @ X0) @ a1) | (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2505, zip_derived_cl2504])).
% 64.61/9.94 thf(zip_derived_cl22, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a1) | ~ (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 64.61/9.94 thf(zip_derived_cl2734, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0) | ~ (eq @ (f @ X1) @ a1)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2662, zip_derived_cl22])).
% 64.61/9.94 thf(zip_derived_cl19, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 64.61/9.94 thf(zip_derived_cl6614, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]: (~ (eq @ (f @ X1) @ a1) | ~ (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl2734, zip_derived_cl19])).
% 64.61/9.94 thf('12', plain,
% 64.61/9.94 (~ (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl6614])).
% 64.61/9.94 thf(zip_derived_cl2507, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a3)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup+', [status(thm)], [zip_derived_cl2504, zip_derived_cl46])).
% 64.61/9.94 thf(zip_derived_cl2134, plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl2129])).
% 64.61/9.94 thf(zip_derived_cl6542, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0) | ~ (eq @ (f @ X1) @ a3)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)],
% 64.61/9.94 [zip_derived_cl2507, zip_derived_cl2134])).
% 64.61/9.94 thf(zip_derived_cl19, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 64.61/9.94 thf(zip_derived_cl7520, plain,
% 64.61/9.94 ((![X0 : $i, X1 : $i]: (~ (eq @ (f @ X1) @ a3) | ~ (eq @ (f @ X0) @ a0)))
% 64.61/9.94 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) &
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a2)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl6542, zip_derived_cl19])).
% 64.61/9.94 thf('13', plain,
% 64.61/9.94 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 64.61/9.94 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a2))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl7520])).
% 64.61/9.94 thf(zip_derived_cl111, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 ( (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0))) @ a1)
% 64.61/9.94 | (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0))) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a2))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl54])).
% 64.61/9.94 thf(zip_derived_cl18, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]: (le @ X0 @ (max @ X2 @ (max @ X1 @ X0)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 64.61/9.94 thf(zip_derived_cl1, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (le @ (max @ X0 @ X1) @ X2) | (le @ X0 @ X2))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_02])).
% 64.61/9.94 thf(zip_derived_cl56, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.61/9.94 (le @ X1 @ (max @ X3 @ (max @ X2 @ (max @ X1 @ X0))))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 64.61/9.94 thf(zip_derived_cl5, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_06])).
% 64.61/9.94 thf(zip_derived_cl120, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ (max @ X3 @ (max @ X2 @ (max @ (s @ X1) @ X0)))) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl5])).
% 64.61/9.94 thf(zip_derived_cl753, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X2) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X3) @ a3)
% 64.61/9.94 | (eq @
% 64.61/9.94 (f @ (max @ (s @ X3) @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0)))) @
% 64.61/9.94 a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a1))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl120])).
% 64.61/9.94 thf(zip_derived_cl18, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]: (le @ X0 @ (max @ X2 @ (max @ X1 @ X0)))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 64.61/9.94 thf(zip_derived_cl2, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.61/9.94 (~ (le @ (max @ X0 @ X1) @ X2) | (le @ X1 @ X2))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_03])).
% 64.61/9.94 thf(zip_derived_cl57, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.61/9.94 (le @ X0 @ (max @ X3 @ (max @ X2 @ (max @ X1 @ X0))))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 64.61/9.94 thf(zip_derived_cl4, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ X1) @ a0)
% 64.61/9.94 | ~ (le @ (s @ X0) @ X1))),
% 64.61/9.94 inference('cnf', [status(esa)], [sos_05])).
% 64.61/9.94 thf(zip_derived_cl125, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X0) @ a0)
% 64.61/9.94 | ~ (eq @ (f @ (max @ X3 @ (max @ X2 @ (max @ X1 @ (s @ X0))))) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl4])).
% 64.61/9.94 thf(zip_derived_cl32306, plain,
% 64.61/9.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.61/9.94 (~ (eq @ (f @ X1) @ a1)
% 64.61/9.94 | ~ (eq @ (f @ X3) @ a3)
% 64.61/9.94 | ~ (eq @ (f @ X2) @ a2)
% 64.61/9.94 | ~ (eq @ (f @ X0) @ a0))),
% 64.61/9.94 inference('s_sup-', [status(thm)], [zip_derived_cl753, zip_derived_cl125])).
% 64.61/9.94 thf('14', plain,
% 64.61/9.94 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2)) |
% 64.61/9.94 (![X1 : $i]: ~ (eq @ (f @ X1) @ a3)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 64.61/9.94 (![X0 : $i]: ~ (eq @ (f @ X0) @ a0))),
% 64.61/9.94 inference('split', [status(esa)], [zip_derived_cl32306])).
% 64.61/9.94 thf(zip_derived_cl32879, plain, ($false),
% 64.61/9.94 inference('sat_resolution*', [status(thm)],
% 64.61/9.94 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 64.61/9.94 '12', '13', '14'])).
% 64.61/9.94
% 64.61/9.94 % SZS output end Refutation
% 64.61/9.94
% 64.61/9.94
% 64.61/9.94 % Terminating...
% 65.66/10.03 % Runner terminated.
% 65.66/10.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------