TSTP Solution File: SYO617-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO617-1 : 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.3nVkg3Knns true
% Computer : n015.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 1.61s 1.08s
% Output : Refutation 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3nVkg3Knns true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 08:28:08 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
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.61/1.08 % Solved by fo/fo1_av.sh.
% 1.61/1.08 % done 346 iterations in 0.316s
% 1.61/1.08 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.61/1.08 % SZS output start Refutation
% 1.61/1.08 thf(a0_type, type, a0: $i).
% 1.61/1.08 thf(max_type, type, max: $i > $i > $i).
% 1.61/1.08 thf(a2_type, type, a2: $i).
% 1.61/1.08 thf(f_type, type, f: $i > $i).
% 1.61/1.08 thf(le_type, type, le: $i > $i > $o).
% 1.61/1.08 thf(s_type, type, s: $i > $i).
% 1.61/1.08 thf(a1_type, type, a1: $i).
% 1.61/1.08 thf(eq_type, type, eq: $i > $i > $o).
% 1.61/1.08 thf(sos_02, axiom, (( ~( le @ ( max @ A @ B ) @ C ) ) | ( le @ A @ C ))).
% 1.61/1.08 thf(zip_derived_cl1, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (~ (le @ (max @ X0 @ X1) @ X2) | (le @ X0 @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_02])).
% 1.61/1.08 thf(sos_01, axiom, (le @ A @ A)).
% 1.61/1.08 thf(zip_derived_cl0, plain, (![X0 : $i]: (le @ X0 @ X0)),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_01])).
% 1.61/1.08 thf(zip_derived_cl7, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]: (le @ X1 @ (max @ X1 @ X0))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.61/1.08 thf(sos_07, axiom,
% 1.61/1.08 (( ~( eq @ ( f @ A0 ) @ a2 ) ) | ( ~( eq @ ( f @ A1 ) @ a2 ) ) |
% 1.61/1.08 ( ~( le @ ( s @ A0 ) @ A1 ) ))).
% 1.61/1.08 thf(zip_derived_cl6, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a2)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a2)
% 1.61/1.08 | ~ (le @ (s @ X0) @ X1))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_07])).
% 1.61/1.08 thf(zip_derived_cl25, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X1) @ a2) | ~ (eq @ (f @ (max @ (s @ X1) @ X0)) @ a2))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 1.61/1.08 thf(sos_04, axiom,
% 1.61/1.08 (( eq @ ( f @ A ) @ a0 ) | ( eq @ ( f @ A ) @ a1 ) |
% 1.61/1.08 ( eq @ ( f @ A ) @ a2 ))).
% 1.61/1.08 thf(zip_derived_cl3, plain,
% 1.61/1.08 (![X0 : $i]:
% 1.61/1.08 ( (eq @ (f @ X0) @ a0) | (eq @ (f @ X0) @ a1) | (eq @ (f @ X0) @ a2))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_04])).
% 1.61/1.08 thf(zip_derived_cl29, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X1) @ a2)
% 1.61/1.08 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 1.61/1.08 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl3])).
% 1.61/1.08 thf(sos_03, axiom, (( ~( le @ ( max @ A @ B ) @ C ) ) | ( le @ B @ C ))).
% 1.61/1.08 thf(zip_derived_cl2, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (~ (le @ (max @ X0 @ X1) @ X2) | (le @ X1 @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_03])).
% 1.61/1.08 thf(zip_derived_cl0, plain, (![X0 : $i]: (le @ X0 @ X0)),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_01])).
% 1.61/1.08 thf(zip_derived_cl10, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]: (le @ X0 @ (max @ X1 @ X0))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.61/1.08 thf(sos_06, axiom,
% 1.61/1.08 (( ~( eq @ ( f @ A0 ) @ a1 ) ) | ( ~( eq @ ( f @ A1 ) @ a1 ) ) |
% 1.61/1.08 ( ~( le @ ( s @ A0 ) @ A1 ) ))).
% 1.61/1.08 thf(zip_derived_cl5, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a1)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a1)
% 1.61/1.08 | ~ (le @ (s @ X0) @ X1))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_06])).
% 1.61/1.08 thf(zip_derived_cl22, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a1) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a1))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 1.61/1.08 thf(zip_derived_cl93, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 ( (eq @ (f @ (max @ (s @ X1) @ (s @ X0))) @ a0)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a2)
% 1.61/1.08 | ~ (eq @ (f @ X0) @ a1))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl22])).
% 1.61/1.08 thf(zip_derived_cl29, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X1) @ a2)
% 1.61/1.08 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 1.61/1.08 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl3])).
% 1.61/1.08 thf(zip_derived_cl7, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]: (le @ X1 @ (max @ X1 @ X0))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.61/1.08 thf(zip_derived_cl5, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a1)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a1)
% 1.61/1.08 | ~ (le @ (s @ X0) @ X1))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_06])).
% 1.61/1.08 thf(zip_derived_cl21, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X1) @ a1) | ~ (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 1.61/1.08 thf(zip_derived_cl92, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 ( (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a2)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a1))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl21])).
% 1.61/1.08 thf(zip_derived_cl10, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]: (le @ X0 @ (max @ X1 @ X0))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.61/1.08 thf(sos_05, axiom,
% 1.61/1.08 (( ~( eq @ ( f @ A0 ) @ a0 ) ) | ( ~( eq @ ( f @ A1 ) @ a0 ) ) |
% 1.61/1.08 ( ~( le @ ( s @ A0 ) @ A1 ) ))).
% 1.61/1.08 thf(zip_derived_cl4, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a0)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a0)
% 1.61/1.08 | ~ (le @ (s @ X0) @ X1))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_05])).
% 1.61/1.08 thf(zip_derived_cl18, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a0) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a0))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl4])).
% 1.61/1.08 thf(zip_derived_cl167, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X1) @ a1)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a2)
% 1.61/1.08 | ~ (eq @ (f @ X0) @ a0))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl18])).
% 1.61/1.08 thf(zip_derived_cl177, plain,
% 1.61/1.08 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 1.61/1.08 inference('split', [status(esa)], [zip_derived_cl167])).
% 1.61/1.08 thf(zip_derived_cl510, plain,
% 1.61/1.08 ((![X0 : $i, X1 : $i]: (~ (eq @ (f @ X0) @ a1) | ~ (eq @ (f @ X1) @ a2)))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl177])).
% 1.61/1.08 thf('0', plain,
% 1.61/1.08 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 1.61/1.08 (![X1 : $i]: ~ (eq @ (f @ X1) @ a2)) |
% 1.61/1.08 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1))),
% 1.61/1.08 inference('split', [status(esa)], [zip_derived_cl510])).
% 1.61/1.08 thf(zip_derived_cl514, plain,
% 1.61/1.08 ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)))),
% 1.61/1.08 inference('split', [status(esa)], [zip_derived_cl510])).
% 1.61/1.08 thf(zip_derived_cl3, plain,
% 1.61/1.08 (![X0 : $i]:
% 1.61/1.08 ( (eq @ (f @ X0) @ a0) | (eq @ (f @ X0) @ a1) | (eq @ (f @ X0) @ a2))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_04])).
% 1.61/1.08 thf(zip_derived_cl516, plain,
% 1.61/1.08 ((![X0 : $i]: ( (eq @ (f @ X0) @ a0) | (eq @ (f @ X0) @ a1)))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl514, zip_derived_cl3])).
% 1.61/1.08 thf(zip_derived_cl21, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X1) @ a1) | ~ (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 1.61/1.08 thf(zip_derived_cl609, plain,
% 1.61/1.08 ((![X0 : $i, X1 : $i]:
% 1.61/1.08 ( (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0) | ~ (eq @ (f @ X1) @ a1)))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl21])).
% 1.61/1.08 thf(zip_derived_cl18, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a0) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a0))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl4])).
% 1.61/1.08 thf(zip_derived_cl886, plain,
% 1.61/1.08 ((![X0 : $i, X1 : $i]: (~ (eq @ (f @ X1) @ a1) | ~ (eq @ (f @ X0) @ a0)))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl609, zip_derived_cl18])).
% 1.61/1.08 thf('1', plain,
% 1.61/1.08 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 1.61/1.08 (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 1.61/1.08 ~ (![X1 : $i]: ~ (eq @ (f @ X1) @ a2))),
% 1.61/1.08 inference('split', [status(esa)], [zip_derived_cl886])).
% 1.61/1.08 thf(zip_derived_cl516, plain,
% 1.61/1.08 ((![X0 : $i]: ( (eq @ (f @ X0) @ a0) | (eq @ (f @ X0) @ a1)))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl514, zip_derived_cl3])).
% 1.61/1.08 thf(zip_derived_cl5, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a1)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a1)
% 1.61/1.08 | ~ (le @ (s @ X0) @ X1))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_06])).
% 1.61/1.08 thf(zip_derived_cl0, plain, (![X0 : $i]: (le @ X0 @ X0)),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_01])).
% 1.61/1.08 thf(zip_derived_cl19, plain,
% 1.61/1.08 (![X0 : $i]: (~ (eq @ (f @ (s @ X0)) @ a1) | ~ (eq @ (f @ X0) @ a1))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 1.61/1.08 thf(zip_derived_cl634, plain,
% 1.61/1.08 ((![X0 : $i]: ( (eq @ (f @ (s @ X0)) @ a0) | ~ (eq @ (f @ X0) @ a1)))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl19])).
% 1.61/1.08 thf(zip_derived_cl177, plain,
% 1.61/1.08 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 1.61/1.08 inference('split', [status(esa)], [zip_derived_cl167])).
% 1.61/1.08 thf(zip_derived_cl654, plain,
% 1.61/1.08 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 1.61/1.08 (![X1 : $i]: ~ (eq @ (f @ X1) @ a2)))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl177])).
% 1.61/1.08 thf(zip_derived_cl516, plain,
% 1.61/1.08 ((![X0 : $i]: ( (eq @ (f @ X0) @ a0) | (eq @ (f @ X0) @ a1)))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl514, zip_derived_cl3])).
% 1.61/1.08 thf(zip_derived_cl747, plain,
% 1.61/1.08 ((![X0 : $i]: (eq @ (f @ X0) @ a0))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 1.61/1.08 (![X1 : $i]: ~ (eq @ (f @ X1) @ a2)))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl654, zip_derived_cl516])).
% 1.61/1.08 thf(zip_derived_cl177, plain,
% 1.61/1.08 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 1.61/1.08 inference('split', [status(esa)], [zip_derived_cl167])).
% 1.61/1.08 thf('2', plain,
% 1.61/1.08 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 1.61/1.08 ~ (![X1 : $i]: ~ (eq @ (f @ X1) @ a2))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl747, zip_derived_cl177])).
% 1.61/1.08 thf(zip_derived_cl516, plain,
% 1.61/1.08 ((![X0 : $i]: ( (eq @ (f @ X0) @ a0) | (eq @ (f @ X0) @ a1)))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl514, zip_derived_cl3])).
% 1.61/1.08 thf(zip_derived_cl515, plain,
% 1.61/1.08 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.08 inference('split', [status(esa)], [zip_derived_cl510])).
% 1.61/1.08 thf(zip_derived_cl608, plain,
% 1.61/1.08 ((![X0 : $i]: (eq @ (f @ X0) @ a0))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)) &
% 1.61/1.08 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl515])).
% 1.61/1.08 thf(zip_derived_cl7, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]: (le @ X1 @ (max @ X1 @ X0))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.61/1.08 thf(zip_derived_cl4, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a0)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a0)
% 1.61/1.08 | ~ (le @ (s @ X0) @ X1))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_05])).
% 1.61/1.08 thf(zip_derived_cl15, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X1) @ a0) | ~ (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 1.61/1.08 thf(zip_derived_cl790, plain,
% 1.61/1.08 ((![X1 : $i]: ~ (eq @ (f @ X1) @ a0))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)) &
% 1.61/1.08 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl608, zip_derived_cl15])).
% 1.61/1.08 thf(zip_derived_cl608, plain,
% 1.61/1.08 ((![X0 : $i]: (eq @ (f @ X0) @ a0))
% 1.61/1.08 <= ((![X1 : $i]: ~ (eq @ (f @ X1) @ a2)) &
% 1.61/1.08 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl515])).
% 1.61/1.08 thf('3', plain,
% 1.61/1.08 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 1.61/1.08 ~ (![X1 : $i]: ~ (eq @ (f @ X1) @ a2))),
% 1.61/1.08 inference('demod', [status(thm)], [zip_derived_cl790, zip_derived_cl608])).
% 1.61/1.08 thf(zip_derived_cl3, plain,
% 1.61/1.08 (![X0 : $i]:
% 1.61/1.08 ( (eq @ (f @ X0) @ a0) | (eq @ (f @ X0) @ a1) | (eq @ (f @ X0) @ a2))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_04])).
% 1.61/1.08 thf(zip_derived_cl515, plain,
% 1.61/1.08 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.08 inference('split', [status(esa)], [zip_derived_cl510])).
% 1.61/1.08 thf(zip_derived_cl6, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a2)
% 1.61/1.08 | ~ (eq @ (f @ X1) @ a2)
% 1.61/1.08 | ~ (le @ (s @ X0) @ X1))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_07])).
% 1.61/1.08 thf(zip_derived_cl0, plain, (![X0 : $i]: (le @ X0 @ X0)),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_01])).
% 1.61/1.08 thf(zip_derived_cl23, plain,
% 1.61/1.08 (![X0 : $i]: (~ (eq @ (f @ (s @ X0)) @ a2) | ~ (eq @ (f @ X0) @ a2))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 1.61/1.08 thf(zip_derived_cl3, plain,
% 1.61/1.08 (![X0 : $i]:
% 1.61/1.08 ( (eq @ (f @ X0) @ a0) | (eq @ (f @ X0) @ a1) | (eq @ (f @ X0) @ a2))),
% 1.61/1.08 inference('cnf', [status(esa)], [sos_04])).
% 1.61/1.08 thf(zip_derived_cl27, plain,
% 1.61/1.08 (![X0 : $i]:
% 1.61/1.08 (~ (eq @ (f @ X0) @ a2)
% 1.61/1.08 | (eq @ (f @ (s @ X0)) @ a0)
% 1.61/1.08 | (eq @ (f @ (s @ X0)) @ a1))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl3])).
% 1.61/1.08 thf(zip_derived_cl524, plain,
% 1.61/1.08 ((![X0 : $i]: (~ (eq @ (f @ X0) @ a2) | (eq @ (f @ (s @ X0)) @ a0)))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl515, zip_derived_cl27])).
% 1.61/1.08 thf(zip_derived_cl177, plain,
% 1.61/1.08 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 1.61/1.08 inference('split', [status(esa)], [zip_derived_cl167])).
% 1.61/1.08 thf(zip_derived_cl534, plain,
% 1.61/1.08 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a2))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 1.61/1.08 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl177])).
% 1.61/1.08 thf(zip_derived_cl539, plain,
% 1.61/1.08 ((![X0 : $i]: ( (eq @ (f @ X0) @ a1) | (eq @ (f @ X0) @ a0)))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 1.61/1.08 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl534])).
% 1.61/1.08 thf(zip_derived_cl177, plain,
% 1.61/1.08 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0))
% 1.61/1.08 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)))),
% 1.61/1.08 inference('split', [status(esa)], [zip_derived_cl167])).
% 1.61/1.08 thf(zip_derived_cl540, plain,
% 1.61/1.09 ((![X0 : $i]: (eq @ (f @ X0) @ a1))
% 1.61/1.09 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) &
% 1.61/1.09 (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.09 inference('demod', [status(thm)], [zip_derived_cl539, zip_derived_cl177])).
% 1.61/1.09 thf(zip_derived_cl515, plain,
% 1.61/1.09 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 1.61/1.09 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.09 inference('split', [status(esa)], [zip_derived_cl510])).
% 1.61/1.09 thf('4', plain,
% 1.61/1.09 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 1.61/1.09 ~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a0))),
% 1.61/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl540, zip_derived_cl515])).
% 1.61/1.09 thf(zip_derived_cl515, plain,
% 1.61/1.09 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1))
% 1.61/1.09 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.09 inference('split', [status(esa)], [zip_derived_cl510])).
% 1.61/1.09 thf(zip_derived_cl29, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i]:
% 1.61/1.09 (~ (eq @ (f @ X1) @ a2)
% 1.61/1.09 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 1.61/1.09 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1))),
% 1.61/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl3])).
% 1.61/1.09 thf(zip_derived_cl518, plain,
% 1.61/1.09 ((![X0 : $i, X1 : $i]:
% 1.61/1.09 (~ (eq @ (f @ X1) @ a2) | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)))
% 1.61/1.09 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl515, zip_derived_cl29])).
% 1.61/1.09 thf(zip_derived_cl18, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i]:
% 1.61/1.09 (~ (eq @ (f @ X0) @ a0) | ~ (eq @ (f @ (max @ X1 @ (s @ X0))) @ a0))),
% 1.61/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl4])).
% 1.61/1.09 thf(zip_derived_cl688, plain,
% 1.61/1.09 ((![X0 : $i, X1 : $i]: (~ (eq @ (f @ X1) @ a2) | ~ (eq @ (f @ X0) @ a0)))
% 1.61/1.09 <= ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)))),
% 1.61/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl518, zip_derived_cl18])).
% 1.61/1.09 thf('5', plain,
% 1.61/1.09 (~ (![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 1.61/1.09 (![X0 : $i]: ~ (eq @ (f @ X0) @ a0)) |
% 1.61/1.09 (![X1 : $i]: ~ (eq @ (f @ X1) @ a2))),
% 1.61/1.09 inference('split', [status(esa)], [zip_derived_cl688])).
% 1.61/1.09 thf(zip_derived_cl29, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i]:
% 1.61/1.09 (~ (eq @ (f @ X1) @ a2)
% 1.61/1.09 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a0)
% 1.61/1.09 | (eq @ (f @ (max @ (s @ X1) @ X0)) @ a1))),
% 1.61/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl3])).
% 1.61/1.09 thf(zip_derived_cl10, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i]: (le @ X0 @ (max @ X1 @ X0))),
% 1.61/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.61/1.09 thf(zip_derived_cl1, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.09 (~ (le @ (max @ X0 @ X1) @ X2) | (le @ X0 @ X2))),
% 1.61/1.09 inference('cnf', [status(esa)], [sos_02])).
% 1.61/1.09 thf(zip_derived_cl16, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i, X2 : $i]: (le @ X1 @ (max @ X2 @ (max @ X1 @ X0)))),
% 1.61/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.61/1.09 thf(zip_derived_cl5, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i]:
% 1.61/1.09 (~ (eq @ (f @ X0) @ a1)
% 1.61/1.09 | ~ (eq @ (f @ X1) @ a1)
% 1.61/1.09 | ~ (le @ (s @ X0) @ X1))),
% 1.61/1.09 inference('cnf', [status(esa)], [sos_06])).
% 1.61/1.09 thf(zip_derived_cl46, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.09 (~ (eq @ (f @ X1) @ a1)
% 1.61/1.09 | ~ (eq @ (f @ (max @ X2 @ (max @ (s @ X1) @ X0))) @ a1))),
% 1.61/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 1.61/1.09 thf(zip_derived_cl94, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.09 ( (eq @ (f @ (max @ (s @ X2) @ (max @ (s @ X1) @ X0))) @ a0)
% 1.61/1.09 | ~ (eq @ (f @ X2) @ a2)
% 1.61/1.09 | ~ (eq @ (f @ X1) @ a1))),
% 1.61/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl46])).
% 1.61/1.09 thf(zip_derived_cl10, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i]: (le @ X0 @ (max @ X1 @ X0))),
% 1.61/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.61/1.09 thf(zip_derived_cl2, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.09 (~ (le @ (max @ X0 @ X1) @ X2) | (le @ X1 @ X2))),
% 1.61/1.09 inference('cnf', [status(esa)], [sos_03])).
% 1.61/1.09 thf(zip_derived_cl17, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i, X2 : $i]: (le @ X0 @ (max @ X2 @ (max @ X1 @ X0)))),
% 1.61/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 1.61/1.09 thf(zip_derived_cl4, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i]:
% 1.61/1.09 (~ (eq @ (f @ X0) @ a0)
% 1.61/1.09 | ~ (eq @ (f @ X1) @ a0)
% 1.61/1.09 | ~ (le @ (s @ X0) @ X1))),
% 1.61/1.09 inference('cnf', [status(esa)], [sos_05])).
% 1.61/1.09 thf(zip_derived_cl50, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.09 (~ (eq @ (f @ X0) @ a0)
% 1.61/1.09 | ~ (eq @ (f @ (max @ X2 @ (max @ X1 @ (s @ X0)))) @ a0))),
% 1.61/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl4])).
% 1.61/1.09 thf(zip_derived_cl598, plain,
% 1.61/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.09 (~ (eq @ (f @ X1) @ a1)
% 1.61/1.09 | ~ (eq @ (f @ X2) @ a2)
% 1.61/1.09 | ~ (eq @ (f @ X0) @ a0))),
% 1.61/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl50])).
% 1.61/1.09 thf('6', plain,
% 1.61/1.09 ((![X0 : $i]: ~ (eq @ (f @ X0) @ a1)) |
% 1.61/1.09 (![X1 : $i]: ~ (eq @ (f @ X1) @ a2)) |
% 1.61/1.09 (![X0 : $i]: ~ (eq @ (f @ X0) @ a0))),
% 1.61/1.09 inference('split', [status(esa)], [zip_derived_cl598])).
% 1.61/1.09 thf(zip_derived_cl1168, plain, ($false),
% 1.61/1.09 inference('sat_resolution*', [status(thm)],
% 1.61/1.09 ['0', '1', '2', '3', '4', '5', '6'])).
% 1.61/1.09
% 1.61/1.09 % SZS output end Refutation
% 1.61/1.09
% 1.61/1.09
% 1.61/1.09 % Terminating...
% 1.99/1.17 % Runner terminated.
% 1.99/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------