%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP125-3.005 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MEBuu8XFA2 true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:35:43 PM UTC 2025
% Result : Unsatisfiable 9.62s 2.00s
% Output : Refutation 9.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP125-3.005 : TPTP v9.2.0. Released v1.2.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MEBuu8XFA2 true
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:17:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.13/0.36 % Running in FO mode
% 0.58/0.65 % Total configuration time : 435
% 0.58/0.65 % Estimated wc time : 1092
% 0.58/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.62/2.00 % Solved by fo/fo1_av.sh.
% 9.62/2.00 % done 2977 iterations in 1.149s
% 9.62/2.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.62/2.00 % SZS output start Refutation
% 9.62/2.00 thf(e_4_type, type, e_4: $i).
% 9.62/2.00 thf(cycle_type, type, cycle: $i > $i > $o).
% 9.62/2.00 thf(e_3_type, type, e_3: $i).
% 9.62/2.00 thf(e_5_type, type, e_5: $i).
% 9.62/2.00 thf(equalish_type, type, equalish: $i > $i > $o).
% 9.62/2.00 thf(e_2_type, type, e_2: $i).
% 9.62/2.00 thf(greater_type, type, greater: $i > $i > $o).
% 9.62/2.00 thf(e_1_type, type, e_1: $i).
% 9.62/2.00 thf(group_element_type, type, group_element: $i > $o).
% 9.62/2.00 thf(product_type, type, product: $i > $i > $i > $o).
% 9.62/2.00 thf(e_0_type, type, e_0: $i).
% 9.62/2.00 thf(next_type, type, next: $i > $i > $o).
% 9.62/2.00 thf(e_2_is_not_e_1, axiom, (~( equalish @ e_2 @ e_1 ))).
% 9.62/2.00 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 9.62/2.00 thf(element_4, axiom, (group_element @ e_4)).
% 9.62/2.00 thf(zip_derived_cl30, plain, ( (group_element @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_4])).
% 9.62/2.00 thf(product_total_function1, axiom,
% 9.62/2.00 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 9.62/2.00 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ) |
% 9.62/2.00 ( product @ X @ Y @ e_3 ) | ( product @ X @ Y @ e_4 ) |
% 9.62/2.00 ( product @ X @ Y @ e_5 ))).
% 9.62/2.00 thf(zip_derived_cl52, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | ~ (group_element @ X1)
% 9.62/2.00 | (product @ X0 @ X1 @ e_1)
% 9.62/2.00 | (product @ X0 @ X1 @ e_2)
% 9.62/2.00 | (product @ X0 @ X1 @ e_3)
% 9.62/2.00 | (product @ X0 @ X1 @ e_4)
% 9.62/2.00 | (product @ X0 @ X1 @ e_5))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_total_function1])).
% 9.62/2.00 thf(zip_derived_cl116, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl52])).
% 9.62/2.00 thf(element_2, axiom, (group_element @ e_2)).
% 9.62/2.00 thf(zip_derived_cl28, plain, ( (group_element @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_2])).
% 9.62/2.00 thf(zip_derived_cl385, plain,
% 9.62/2.00 (( (product @ e_4 @ e_2 @ e_5)
% 9.62/2.00 | (product @ e_4 @ e_2 @ e_4)
% 9.62/2.00 | (product @ e_4 @ e_2 @ e_3)
% 9.62/2.00 | (product @ e_4 @ e_2 @ e_2)
% 9.62/2.00 | (product @ e_4 @ e_2 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl28])).
% 9.62/2.00 thf(zip_derived_cl2097, plain,
% 9.62/2.00 (( (product @ e_4 @ e_2 @ e_1)) <= (( (product @ e_4 @ e_2 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl385])).
% 9.62/2.00 thf(zip_derived_cl2093, plain,
% 9.62/2.00 (( (product @ e_4 @ e_2 @ e_5)) <= (( (product @ e_4 @ e_2 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl385])).
% 9.62/2.00 thf(element_3, axiom, (group_element @ e_3)).
% 9.62/2.00 thf(zip_derived_cl29, plain, ( (group_element @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_3])).
% 9.62/2.00 thf(zip_derived_cl52, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | ~ (group_element @ X1)
% 9.62/2.00 | (product @ X0 @ X1 @ e_1)
% 9.62/2.00 | (product @ X0 @ X1 @ e_2)
% 9.62/2.00 | (product @ X0 @ X1 @ e_3)
% 9.62/2.00 | (product @ X0 @ X1 @ e_4)
% 9.62/2.00 | (product @ X0 @ X1 @ e_5))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_total_function1])).
% 9.62/2.00 thf(zip_derived_cl115, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl28, plain, ( (group_element @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_2])).
% 9.62/2.00 thf(zip_derived_cl353, plain,
% 9.62/2.00 (( (product @ e_3 @ e_2 @ e_5)
% 9.62/2.00 | (product @ e_3 @ e_2 @ e_4)
% 9.62/2.00 | (product @ e_3 @ e_2 @ e_3)
% 9.62/2.00 | (product @ e_3 @ e_2 @ e_2)
% 9.62/2.00 | (product @ e_3 @ e_2 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl28])).
% 9.62/2.00 thf(zip_derived_cl1923, plain,
% 9.62/2.00 (( (product @ e_3 @ e_2 @ e_5)) <= (( (product @ e_3 @ e_2 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl353])).
% 9.62/2.00 thf(product_left_cancellation, axiom,
% 9.62/2.00 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 9.62/2.00 ( equalish @ W @ Z ))).
% 9.62/2.00 thf(zip_derived_cl55, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.00 | (equalish @ X0 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.00 thf(zip_derived_cl1930, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_5) | (equalish @ e_3 @ X0)))
% 9.62/2.00 <= (( (product @ e_3 @ e_2 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1923, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl2428, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_4))
% 9.62/2.00 <= (( (product @ e_3 @ e_2 @ e_5)) & ( (product @ e_4 @ e_2 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl2093, zip_derived_cl1930])).
% 9.62/2.00 thf(e_3_is_not_e_4, axiom, (~( equalish @ e_3 @ e_4 ))).
% 9.62/2.00 thf(zip_derived_cl42, plain, (~ (equalish @ e_3 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 9.62/2.00 thf('0', plain,
% 9.62/2.00 (~ ( (product @ e_4 @ e_2 @ e_5)) | ~ ( (product @ e_3 @ e_2 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2428, zip_derived_cl42])).
% 9.62/2.00 thf(zip_derived_cl2096, plain,
% 9.62/2.00 (( (product @ e_4 @ e_2 @ e_2)) <= (( (product @ e_4 @ e_2 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl385])).
% 9.62/2.00 thf(product_idempotence, axiom, (product @ X @ X @ X)).
% 9.62/2.00 thf(zip_derived_cl56, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 9.62/2.00 inference('cnf', [status(esa)], [product_idempotence])).
% 9.62/2.00 thf(zip_derived_cl55, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.00 | (equalish @ X0 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl4140, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_4)) <= (( (product @ e_4 @ e_2 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2096, zip_derived_cl83])).
% 9.62/2.00 thf(e_2_is_not_e_4, axiom, (~( equalish @ e_2 @ e_4 ))).
% 9.62/2.00 thf(zip_derived_cl38, plain, (~ (equalish @ e_2 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 9.62/2.00 thf('1', plain, (~ ( (product @ e_4 @ e_2 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl4140, zip_derived_cl38])).
% 9.62/2.00 thf(zip_derived_cl28, plain, ( (group_element @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_2])).
% 9.62/2.00 thf(zip_derived_cl116, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl390, plain,
% 9.62/2.00 (( (product @ e_4 @ e_2 @ e_1)
% 9.62/2.00 | (product @ e_4 @ e_2 @ e_2)
% 9.62/2.00 | (product @ e_4 @ e_2 @ e_3)
% 9.62/2.00 | (product @ e_4 @ e_2 @ e_4)
% 9.62/2.00 | (product @ e_4 @ e_2 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl116])).
% 9.62/2.00 thf(zip_derived_cl2188, plain,
% 9.62/2.00 (( (product @ e_4 @ e_2 @ e_4)) <= (( (product @ e_4 @ e_2 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl390])).
% 9.62/2.00 thf(zip_derived_cl56, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 9.62/2.00 inference('cnf', [status(esa)], [product_idempotence])).
% 9.62/2.00 thf(product_right_cancellation, axiom,
% 9.62/2.00 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 9.62/2.00 ( equalish @ W @ Z ))).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl2196, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_2)) <= (( (product @ e_4 @ e_2 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2188, zip_derived_cl79])).
% 9.62/2.00 thf(e_4_is_not_e_2, axiom, (~( equalish @ e_4 @ e_2 ))).
% 9.62/2.00 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 9.62/2.00 thf('2', plain, (~ ( (product @ e_4 @ e_2 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2196, zip_derived_cl45])).
% 9.62/2.00 thf(zip_derived_cl28, plain, ( (group_element @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_2])).
% 9.62/2.00 thf(zip_derived_cl52, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | ~ (group_element @ X1)
% 9.62/2.00 | (product @ X0 @ X1 @ e_1)
% 9.62/2.00 | (product @ X0 @ X1 @ e_2)
% 9.62/2.00 | (product @ X0 @ X1 @ e_3)
% 9.62/2.00 | (product @ X0 @ X1 @ e_4)
% 9.62/2.00 | (product @ X0 @ X1 @ e_5))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_total_function1])).
% 9.62/2.00 thf(zip_derived_cl114, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl52])).
% 9.62/2.00 thf(element_1, axiom, (group_element @ e_1)).
% 9.62/2.00 thf(zip_derived_cl27, plain, ( (group_element @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_1])).
% 9.62/2.00 thf(zip_derived_cl329, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_5)
% 9.62/2.00 | (product @ e_2 @ e_1 @ e_4)
% 9.62/2.00 | (product @ e_2 @ e_1 @ e_3)
% 9.62/2.00 | (product @ e_2 @ e_1 @ e_2)
% 9.62/2.00 | (product @ e_2 @ e_1 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl27])).
% 9.62/2.00 thf(zip_derived_cl1720, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.00 thf(zip_derived_cl27, plain, ( (group_element @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_1])).
% 9.62/2.00 thf(zip_derived_cl52, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | ~ (group_element @ X1)
% 9.62/2.00 | (product @ X0 @ X1 @ e_1)
% 9.62/2.00 | (product @ X0 @ X1 @ e_2)
% 9.62/2.00 | (product @ X0 @ X1 @ e_3)
% 9.62/2.00 | (product @ X0 @ X1 @ e_4)
% 9.62/2.00 | (product @ X0 @ X1 @ e_5))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_total_function1])).
% 9.62/2.00 thf(zip_derived_cl113, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl28, plain, ( (group_element @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_2])).
% 9.62/2.00 thf(zip_derived_cl308, plain,
% 9.62/2.00 (( (product @ e_1 @ e_2 @ e_5)
% 9.62/2.00 | (product @ e_1 @ e_2 @ e_4)
% 9.62/2.00 | (product @ e_1 @ e_2 @ e_3)
% 9.62/2.00 | (product @ e_1 @ e_2 @ e_2)
% 9.62/2.00 | (product @ e_1 @ e_2 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl28])).
% 9.62/2.00 thf(zip_derived_cl1576, plain,
% 9.62/2.00 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl308])).
% 9.62/2.00 thf(qg3, conjecture,
% 9.62/2.00 (~( ( product @ Z1 @ Z2 @ X ) | ( ~( product @ Y @ X @ Z2 ) ) |
% 9.62/2.00 ( ~( product @ X @ Y @ Z1 ) ) ))).
% 9.62/2.00 thf(zf_stmt_0, negated_conjecture,
% 9.62/2.00 (( product @ Z1 @ Z2 @ X ) | ( ~( product @ Y @ X @ Z2 ) ) |
% 9.62/2.00 ( ~( product @ X @ Y @ Z1 ) )),
% 9.62/2.00 inference('cnf.neg', [status(esa)], [qg3])).
% 9.62/2.00 thf(zip_derived_cl57, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 ( (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X2 @ X1)
% 9.62/2.00 | ~ (product @ X2 @ X3 @ X0))),
% 9.62/2.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.62/2.00 thf(zip_derived_cl1642, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 ( (product @ X0 @ e_4 @ e_2) | ~ (product @ e_2 @ e_1 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1576, zip_derived_cl57])).
% 9.62/2.00 thf(zip_derived_cl3013, plain,
% 9.62/2.00 (( (product @ e_3 @ e_4 @ e_2))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1720, zip_derived_cl1642])).
% 9.62/2.00 thf(zip_derived_cl113, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl30, plain, ( (group_element @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_4])).
% 9.62/2.00 thf(zip_derived_cl310, plain,
% 9.62/2.00 (( (product @ e_1 @ e_4 @ e_5)
% 9.62/2.00 | (product @ e_1 @ e_4 @ e_4)
% 9.62/2.00 | (product @ e_1 @ e_4 @ e_3)
% 9.62/2.00 | (product @ e_1 @ e_4 @ e_2)
% 9.62/2.00 | (product @ e_1 @ e_4 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl30])).
% 9.62/2.00 thf(zip_derived_cl1611, plain,
% 9.62/2.00 (( (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_1 @ e_4 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl310])).
% 9.62/2.00 thf(zip_derived_cl55, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.00 | (equalish @ X0 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.00 thf(zip_derived_cl2852, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_2) | (equalish @ e_1 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_4 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1611, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl3106, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_3))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_4)) &
% 9.62/2.00 ( (product @ e_1 @ e_4 @ e_2)) &
% 9.62/2.00 ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl3013, zip_derived_cl2852])).
% 9.62/2.00 thf(e_1_is_not_e_3, axiom, (~( equalish @ e_1 @ e_3 ))).
% 9.62/2.00 thf(zip_derived_cl33, plain, (~ (equalish @ e_1 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 9.62/2.00 thf('3', plain,
% 9.62/2.00 (~ ( (product @ e_1 @ e_4 @ e_2)) | ~ ( (product @ e_1 @ e_2 @ e_4)) |
% 9.62/2.00 ~ ( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3106, zip_derived_cl33])).
% 9.62/2.00 thf(zip_derived_cl114, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl30, plain, ( (group_element @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_4])).
% 9.62/2.00 thf(zip_derived_cl332, plain,
% 9.62/2.00 (( (product @ e_2 @ e_4 @ e_5)
% 9.62/2.00 | (product @ e_2 @ e_4 @ e_4)
% 9.62/2.00 | (product @ e_2 @ e_4 @ e_3)
% 9.62/2.00 | (product @ e_2 @ e_4 @ e_2)
% 9.62/2.00 | (product @ e_2 @ e_4 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl30])).
% 9.62/2.00 thf(zip_derived_cl1766, plain,
% 9.62/2.00 (( (product @ e_2 @ e_4 @ e_5)) <= (( (product @ e_2 @ e_4 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl332])).
% 9.62/2.00 thf(zip_derived_cl1608, plain,
% 9.62/2.00 (( (product @ e_1 @ e_4 @ e_5)) <= (( (product @ e_1 @ e_4 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl310])).
% 9.62/2.00 thf(zip_derived_cl55, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.00 | (equalish @ X0 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.00 thf(zip_derived_cl1615, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_5) | (equalish @ e_1 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_4 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1608, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl1775, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_2))
% 9.62/2.00 <= (( (product @ e_1 @ e_4 @ e_5)) & ( (product @ e_2 @ e_4 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1766, zip_derived_cl1615])).
% 9.62/2.00 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 9.62/2.00 thf(zip_derived_cl32, plain, (~ (equalish @ e_1 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 9.62/2.00 thf('4', plain,
% 9.62/2.00 (~ ( (product @ e_1 @ e_4 @ e_5)) | ~ ( (product @ e_2 @ e_4 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1775, zip_derived_cl32])).
% 9.62/2.00 thf(zip_derived_cl1770, plain,
% 9.62/2.00 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl332])).
% 9.62/2.00 thf(zip_derived_cl114, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl29, plain, ( (group_element @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_3])).
% 9.62/2.00 thf(zip_derived_cl331, plain,
% 9.62/2.00 (( (product @ e_2 @ e_3 @ e_5)
% 9.62/2.00 | (product @ e_2 @ e_3 @ e_4)
% 9.62/2.00 | (product @ e_2 @ e_3 @ e_3)
% 9.62/2.00 | (product @ e_2 @ e_3 @ e_2)
% 9.62/2.00 | (product @ e_2 @ e_3 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl29])).
% 9.62/2.00 thf(zip_derived_cl1752, plain,
% 9.62/2.00 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl331])).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl3224, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_1) | (equalish @ e_3 @ X0)))
% 9.62/2.00 <= (( (product @ e_2 @ e_3 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1752, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3308, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_4))
% 9.62/2.00 <= (( (product @ e_2 @ e_3 @ e_1)) & ( (product @ e_2 @ e_4 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1770, zip_derived_cl3224])).
% 9.62/2.00 thf(zip_derived_cl42, plain, (~ (equalish @ e_3 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 9.62/2.00 thf('5', plain,
% 9.62/2.00 (~ ( (product @ e_2 @ e_4 @ e_1)) | ~ ( (product @ e_2 @ e_3 @ e_1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3308, zip_derived_cl42])).
% 9.62/2.00 thf(zip_derived_cl113, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl52])).
% 9.62/2.00 thf(element_5, axiom, (group_element @ e_5)).
% 9.62/2.00 thf(zip_derived_cl31, plain, ( (group_element @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_5])).
% 9.62/2.00 thf(zip_derived_cl311, plain,
% 9.62/2.00 (( (product @ e_1 @ e_5 @ e_5)
% 9.62/2.00 | (product @ e_1 @ e_5 @ e_4)
% 9.62/2.00 | (product @ e_1 @ e_5 @ e_3)
% 9.62/2.00 | (product @ e_1 @ e_5 @ e_2)
% 9.62/2.00 | (product @ e_1 @ e_5 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl31])).
% 9.62/2.00 thf(zip_derived_cl1628, plain,
% 9.62/2.00 (( (product @ e_1 @ e_5 @ e_2)) <= (( (product @ e_1 @ e_5 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl311])).
% 9.62/2.00 thf(zip_derived_cl113, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl29, plain, ( (group_element @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_3])).
% 9.62/2.00 thf(zip_derived_cl309, plain,
% 9.62/2.00 (( (product @ e_1 @ e_3 @ e_5)
% 9.62/2.00 | (product @ e_1 @ e_3 @ e_4)
% 9.62/2.00 | (product @ e_1 @ e_3 @ e_3)
% 9.62/2.00 | (product @ e_1 @ e_3 @ e_2)
% 9.62/2.00 | (product @ e_1 @ e_3 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl29])).
% 9.62/2.00 thf(zip_derived_cl1595, plain,
% 9.62/2.00 (( (product @ e_1 @ e_3 @ e_2)) <= (( (product @ e_1 @ e_3 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl309])).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl2759, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_2) | (equalish @ e_3 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_3 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1595, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl2934, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_5))
% 9.62/2.00 <= (( (product @ e_1 @ e_3 @ e_2)) & ( (product @ e_1 @ e_5 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1628, zip_derived_cl2759])).
% 9.62/2.00 thf(e_3_is_not_e_5, axiom, (~( equalish @ e_3 @ e_5 ))).
% 9.62/2.00 thf(zip_derived_cl43, plain, (~ (equalish @ e_3 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 9.62/2.00 thf('6', plain,
% 9.62/2.00 (~ ( (product @ e_1 @ e_3 @ e_2)) | ~ ( (product @ e_1 @ e_5 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2934, zip_derived_cl43])).
% 9.62/2.00 thf(zip_derived_cl116, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl29, plain, ( (group_element @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_3])).
% 9.62/2.00 thf(zip_derived_cl386, plain,
% 9.62/2.00 (( (product @ e_4 @ e_3 @ e_5)
% 9.62/2.00 | (product @ e_4 @ e_3 @ e_4)
% 9.62/2.00 | (product @ e_4 @ e_3 @ e_3)
% 9.62/2.00 | (product @ e_4 @ e_3 @ e_2)
% 9.62/2.00 | (product @ e_4 @ e_3 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl29])).
% 9.62/2.00 thf(zip_derived_cl2127, plain,
% 9.62/2.00 (( (product @ e_4 @ e_3 @ e_5)) <= (( (product @ e_4 @ e_3 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl386])).
% 9.62/2.00 thf(zip_derived_cl1748, plain,
% 9.62/2.00 (( (product @ e_2 @ e_3 @ e_5)) <= (( (product @ e_2 @ e_3 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl331])).
% 9.62/2.00 thf(zip_derived_cl55, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.00 | (equalish @ X0 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.00 thf(zip_derived_cl1755, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_5) | (equalish @ e_2 @ X0)))
% 9.62/2.00 <= (( (product @ e_2 @ e_3 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1748, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl2137, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_4))
% 9.62/2.00 <= (( (product @ e_2 @ e_3 @ e_5)) & ( (product @ e_4 @ e_3 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl2127, zip_derived_cl1755])).
% 9.62/2.00 thf(zip_derived_cl38, plain, (~ (equalish @ e_2 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 9.62/2.00 thf('7', plain,
% 9.62/2.00 (~ ( (product @ e_2 @ e_3 @ e_5)) | ~ ( (product @ e_4 @ e_3 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2137, zip_derived_cl38])).
% 9.62/2.00 thf(zip_derived_cl2127, plain,
% 9.62/2.00 (( (product @ e_4 @ e_3 @ e_5)) <= (( (product @ e_4 @ e_3 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl386])).
% 9.62/2.00 thf(zip_derived_cl1592, plain,
% 9.62/2.00 (( (product @ e_1 @ e_3 @ e_5)) <= (( (product @ e_1 @ e_3 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl309])).
% 9.62/2.00 thf(zip_derived_cl55, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.00 | (equalish @ X0 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.00 thf(zip_derived_cl1599, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_5) | (equalish @ e_1 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_3 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1592, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl2136, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_4))
% 9.62/2.00 <= (( (product @ e_1 @ e_3 @ e_5)) & ( (product @ e_4 @ e_3 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl2127, zip_derived_cl1599])).
% 9.62/2.00 thf(e_1_is_not_e_4, axiom, (~( equalish @ e_1 @ e_4 ))).
% 9.62/2.00 thf(zip_derived_cl34, plain, (~ (equalish @ e_1 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 9.62/2.00 thf('8', plain,
% 9.62/2.00 (~ ( (product @ e_4 @ e_3 @ e_5)) | ~ ( (product @ e_1 @ e_3 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2136, zip_derived_cl34])).
% 9.62/2.00 thf(zip_derived_cl2129, plain,
% 9.62/2.00 (( (product @ e_4 @ e_3 @ e_3)) <= (( (product @ e_4 @ e_3 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl386])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl4186, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_4)) <= (( (product @ e_4 @ e_3 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2129, zip_derived_cl83])).
% 9.62/2.00 thf(zip_derived_cl42, plain, (~ (equalish @ e_3 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 9.62/2.00 thf('9', plain, (~ ( (product @ e_4 @ e_3 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl4186, zip_derived_cl42])).
% 9.62/2.00 thf(zip_derived_cl29, plain, ( (group_element @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_3])).
% 9.62/2.00 thf(zip_derived_cl116, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_4 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl391, plain,
% 9.62/2.00 (( (product @ e_4 @ e_3 @ e_1)
% 9.62/2.00 | (product @ e_4 @ e_3 @ e_2)
% 9.62/2.00 | (product @ e_4 @ e_3 @ e_3)
% 9.62/2.00 | (product @ e_4 @ e_3 @ e_4)
% 9.62/2.00 | (product @ e_4 @ e_3 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl116])).
% 9.62/2.00 thf(zip_derived_cl2204, plain,
% 9.62/2.00 (( (product @ e_4 @ e_3 @ e_4)) <= (( (product @ e_4 @ e_3 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl391])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl2212, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_3)) <= (( (product @ e_4 @ e_3 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2204, zip_derived_cl79])).
% 9.62/2.00 thf(e_4_is_not_e_3, axiom, (~( equalish @ e_4 @ e_3 ))).
% 9.62/2.00 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 9.62/2.00 thf('10', plain, (~ ( (product @ e_4 @ e_3 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2212, zip_derived_cl46])).
% 9.62/2.00 thf(zip_derived_cl115, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl31, plain, ( (group_element @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_5])).
% 9.62/2.00 thf(zip_derived_cl356, plain,
% 9.62/2.00 (( (product @ e_3 @ e_5 @ e_5)
% 9.62/2.00 | (product @ e_3 @ e_5 @ e_4)
% 9.62/2.00 | (product @ e_3 @ e_5 @ e_3)
% 9.62/2.00 | (product @ e_3 @ e_5 @ e_2)
% 9.62/2.00 | (product @ e_3 @ e_5 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl31])).
% 9.62/2.00 thf(zip_derived_cl1970, plain,
% 9.62/2.00 (( (product @ e_3 @ e_5 @ e_1)) <= (( (product @ e_3 @ e_5 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl356])).
% 9.62/2.00 thf(zip_derived_cl114, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl31, plain, ( (group_element @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_5])).
% 9.62/2.00 thf(zip_derived_cl333, plain,
% 9.62/2.00 (( (product @ e_2 @ e_5 @ e_5)
% 9.62/2.00 | (product @ e_2 @ e_5 @ e_4)
% 9.62/2.00 | (product @ e_2 @ e_5 @ e_3)
% 9.62/2.00 | (product @ e_2 @ e_5 @ e_2)
% 9.62/2.00 | (product @ e_2 @ e_5 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl31])).
% 9.62/2.00 thf(zip_derived_cl1796, plain,
% 9.62/2.00 (( (product @ e_2 @ e_5 @ e_1)) <= (( (product @ e_2 @ e_5 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl333])).
% 9.62/2.00 thf(zip_derived_cl55, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.00 | (equalish @ X0 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.00 thf(zip_derived_cl3400, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ X0 @ e_5 @ e_1) | (equalish @ e_2 @ X0)))
% 9.62/2.00 <= (( (product @ e_2 @ e_5 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1796, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl3928, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_3))
% 9.62/2.00 <= (( (product @ e_2 @ e_5 @ e_1)) & ( (product @ e_3 @ e_5 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1970, zip_derived_cl3400])).
% 9.62/2.00 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 9.62/2.00 thf(zip_derived_cl37, plain, (~ (equalish @ e_2 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 9.62/2.00 thf('11', plain,
% 9.62/2.00 (~ ( (product @ e_2 @ e_5 @ e_1)) | ~ ( (product @ e_3 @ e_5 @ e_1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3928, zip_derived_cl37])).
% 9.62/2.00 thf(zip_derived_cl31, plain, ( (group_element @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_5])).
% 9.62/2.00 thf(zip_derived_cl114, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl338, plain,
% 9.62/2.00 (( (product @ e_2 @ e_5 @ e_1)
% 9.62/2.00 | (product @ e_2 @ e_5 @ e_2)
% 9.62/2.00 | (product @ e_2 @ e_5 @ e_3)
% 9.62/2.00 | (product @ e_2 @ e_5 @ e_4)
% 9.62/2.00 | (product @ e_2 @ e_5 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl114])).
% 9.62/2.00 thf(zip_derived_cl1879, plain,
% 9.62/2.00 (( (product @ e_2 @ e_5 @ e_4)) <= (( (product @ e_2 @ e_5 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl338])).
% 9.62/2.00 thf(zip_derived_cl29, plain, ( (group_element @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_3])).
% 9.62/2.00 thf(zip_derived_cl114, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl336, plain,
% 9.62/2.00 (( (product @ e_2 @ e_3 @ e_1)
% 9.62/2.00 | (product @ e_2 @ e_3 @ e_2)
% 9.62/2.00 | (product @ e_2 @ e_3 @ e_3)
% 9.62/2.00 | (product @ e_2 @ e_3 @ e_4)
% 9.62/2.00 | (product @ e_2 @ e_3 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl114])).
% 9.62/2.00 thf(zip_derived_cl1836, plain,
% 9.62/2.00 (( (product @ e_2 @ e_3 @ e_4)) <= (( (product @ e_2 @ e_3 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl336])).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl1841, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_4) | (equalish @ e_3 @ X0)))
% 9.62/2.00 <= (( (product @ e_2 @ e_3 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1836, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl2257, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_5))
% 9.62/2.00 <= (( (product @ e_2 @ e_3 @ e_4)) & ( (product @ e_2 @ e_5 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1879, zip_derived_cl1841])).
% 9.62/2.00 thf(zip_derived_cl43, plain, (~ (equalish @ e_3 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 9.62/2.00 thf('12', plain,
% 9.62/2.00 (~ ( (product @ e_2 @ e_3 @ e_4)) | ~ ( (product @ e_2 @ e_5 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2257, zip_derived_cl43])).
% 9.62/2.00 thf(zip_derived_cl1751, plain,
% 9.62/2.00 (( (product @ e_2 @ e_3 @ e_2)) <= (( (product @ e_2 @ e_3 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl331])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3211, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_3)) <= (( (product @ e_2 @ e_3 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1751, zip_derived_cl79])).
% 9.62/2.00 thf(zip_derived_cl37, plain, (~ (equalish @ e_2 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 9.62/2.00 thf('13', plain, (~ ( (product @ e_2 @ e_3 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3211, zip_derived_cl37])).
% 9.62/2.00 thf(zip_derived_cl1750, plain,
% 9.62/2.00 (( (product @ e_2 @ e_3 @ e_3)) <= (( (product @ e_2 @ e_3 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl331])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl3136, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_2)) <= (( (product @ e_2 @ e_3 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1750, zip_derived_cl83])).
% 9.62/2.00 thf(e_3_is_not_e_2, axiom, (~( equalish @ e_3 @ e_2 ))).
% 9.62/2.00 thf(zip_derived_cl41, plain, (~ (equalish @ e_3 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 9.62/2.00 thf('14', plain, (~ ( (product @ e_2 @ e_3 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3136, zip_derived_cl41])).
% 9.62/2.00 thf(zip_derived_cl31, plain, ( (group_element @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_5])).
% 9.62/2.00 thf(zip_derived_cl115, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl361, plain,
% 9.62/2.00 (( (product @ e_3 @ e_5 @ e_1)
% 9.62/2.00 | (product @ e_3 @ e_5 @ e_2)
% 9.62/2.00 | (product @ e_3 @ e_5 @ e_3)
% 9.62/2.00 | (product @ e_3 @ e_5 @ e_4)
% 9.62/2.00 | (product @ e_3 @ e_5 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl115])).
% 9.62/2.00 thf(zip_derived_cl2048, plain,
% 9.62/2.00 (( (product @ e_3 @ e_5 @ e_4)) <= (( (product @ e_3 @ e_5 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl361])).
% 9.62/2.00 thf(zip_derived_cl27, plain, ( (group_element @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_1])).
% 9.62/2.00 thf(zip_derived_cl115, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl357, plain,
% 9.62/2.00 (( (product @ e_3 @ e_1 @ e_1)
% 9.62/2.00 | (product @ e_3 @ e_1 @ e_2)
% 9.62/2.00 | (product @ e_3 @ e_1 @ e_3)
% 9.62/2.00 | (product @ e_3 @ e_1 @ e_4)
% 9.62/2.00 | (product @ e_3 @ e_1 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl115])).
% 9.62/2.00 thf(zip_derived_cl1987, plain,
% 9.62/2.00 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl357])).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl1992, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_4) | (equalish @ e_1 @ X0)))
% 9.62/2.00 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1987, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl2464, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_5))
% 9.62/2.00 <= (( (product @ e_3 @ e_1 @ e_4)) & ( (product @ e_3 @ e_5 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl2048, zip_derived_cl1992])).
% 9.62/2.00 thf(e_1_is_not_e_5, axiom, (~( equalish @ e_1 @ e_5 ))).
% 9.62/2.00 thf(zip_derived_cl35, plain, (~ (equalish @ e_1 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_5])).
% 9.62/2.00 thf('15', plain,
% 9.62/2.00 (~ ( (product @ e_3 @ e_5 @ e_4)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2464, zip_derived_cl35])).
% 9.62/2.00 thf(zip_derived_cl1968, plain,
% 9.62/2.00 (( (product @ e_3 @ e_5 @ e_3)) <= (( (product @ e_3 @ e_5 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl356])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3779, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_5)) <= (( (product @ e_3 @ e_5 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1968, zip_derived_cl79])).
% 9.62/2.00 thf(zip_derived_cl43, plain, (~ (equalish @ e_3 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 9.62/2.00 thf('16', plain, (~ ( (product @ e_3 @ e_5 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3779, zip_derived_cl43])).
% 9.62/2.00 thf(zip_derived_cl1966, plain,
% 9.62/2.00 (( (product @ e_3 @ e_5 @ e_5)) <= (( (product @ e_3 @ e_5 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl356])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl1975, plain,
% 9.62/2.00 (( (equalish @ e_5 @ e_3)) <= (( (product @ e_3 @ e_5 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1966, zip_derived_cl83])).
% 9.62/2.00 thf(e_5_is_not_e_3, axiom, (~( equalish @ e_5 @ e_3 ))).
% 9.62/2.00 thf(zip_derived_cl50, plain, (~ (equalish @ e_5 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_5_is_not_e_3])).
% 9.62/2.00 thf('17', plain, (~ ( (product @ e_3 @ e_5 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1975, zip_derived_cl50])).
% 9.62/2.00 thf(zip_derived_cl30, plain, ( (group_element @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_4])).
% 9.62/2.00 thf(zip_derived_cl113, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl315, plain,
% 9.62/2.00 (( (product @ e_1 @ e_4 @ e_1)
% 9.62/2.00 | (product @ e_1 @ e_4 @ e_2)
% 9.62/2.00 | (product @ e_1 @ e_4 @ e_3)
% 9.62/2.00 | (product @ e_1 @ e_4 @ e_4)
% 9.62/2.00 | (product @ e_1 @ e_4 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl113])).
% 9.62/2.00 thf(zip_derived_cl1683, plain,
% 9.62/2.00 (( (product @ e_1 @ e_4 @ e_4)) <= (( (product @ e_1 @ e_4 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl315])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl1691, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_1)) <= (( (product @ e_1 @ e_4 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1683, zip_derived_cl83])).
% 9.62/2.00 thf(e_4_is_not_e_1, axiom, (~( equalish @ e_4 @ e_1 ))).
% 9.62/2.00 thf(zip_derived_cl44, plain, (~ (equalish @ e_4 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 9.62/2.00 thf('18', plain, (~ ( (product @ e_1 @ e_4 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1691, zip_derived_cl44])).
% 9.62/2.00 thf(zip_derived_cl1612, plain,
% 9.62/2.00 (( (product @ e_1 @ e_4 @ e_1)) <= (( (product @ e_1 @ e_4 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl310])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl2885, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_4)) <= (( (product @ e_1 @ e_4 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1612, zip_derived_cl79])).
% 9.62/2.00 thf(zip_derived_cl34, plain, (~ (equalish @ e_1 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 9.62/2.00 thf('19', plain, (~ ( (product @ e_1 @ e_4 @ e_1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2885, zip_derived_cl34])).
% 9.62/2.00 thf(zip_derived_cl1627, plain,
% 9.62/2.00 (( (product @ e_1 @ e_5 @ e_3)) <= (( (product @ e_1 @ e_5 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl311])).
% 9.62/2.00 thf(zip_derived_cl1610, plain,
% 9.62/2.00 (( (product @ e_1 @ e_4 @ e_3)) <= (( (product @ e_1 @ e_4 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl310])).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl2820, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_3) | (equalish @ e_4 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_4 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1610, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl2905, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_5))
% 9.62/2.00 <= (( (product @ e_1 @ e_4 @ e_3)) & ( (product @ e_1 @ e_5 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1627, zip_derived_cl2820])).
% 9.62/2.00 thf(e_4_is_not_e_5, axiom, (~( equalish @ e_4 @ e_5 ))).
% 9.62/2.00 thf(zip_derived_cl47, plain, (~ (equalish @ e_4 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 9.62/2.00 thf('20', plain,
% 9.62/2.00 (~ ( (product @ e_1 @ e_5 @ e_3)) | ~ ( (product @ e_1 @ e_4 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2905, zip_derived_cl47])).
% 9.62/2.00 thf(zip_derived_cl1611, plain,
% 9.62/2.00 (( (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_1 @ e_4 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl310])).
% 9.62/2.00 thf(zip_derived_cl2759, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_2) | (equalish @ e_3 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_3 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1595, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl2855, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_4))
% 9.62/2.00 <= (( (product @ e_1 @ e_3 @ e_2)) & ( (product @ e_1 @ e_4 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1611, zip_derived_cl2759])).
% 9.62/2.00 thf(zip_derived_cl42, plain, (~ (equalish @ e_3 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 9.62/2.00 thf('21', plain,
% 9.62/2.00 (~ ( (product @ e_1 @ e_4 @ e_2)) | ~ ( (product @ e_1 @ e_3 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2855, zip_derived_cl42])).
% 9.62/2.00 thf('22', plain,
% 9.62/2.00 (( (product @ e_1 @ e_5 @ e_2)) | ( (product @ e_1 @ e_5 @ e_3)) |
% 9.62/2.00 ( (product @ e_1 @ e_5 @ e_5)) | ( (product @ e_1 @ e_5 @ e_4)) |
% 9.62/2.00 ( (product @ e_1 @ e_5 @ e_1))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl311])).
% 9.62/2.00 thf(zip_derived_cl1625, plain,
% 9.62/2.00 (( (product @ e_1 @ e_5 @ e_5)) <= (( (product @ e_1 @ e_5 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl311])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl1634, plain,
% 9.62/2.00 (( (equalish @ e_5 @ e_1)) <= (( (product @ e_1 @ e_5 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1625, zip_derived_cl83])).
% 9.62/2.00 thf(e_5_is_not_e_1, axiom, (~( equalish @ e_5 @ e_1 ))).
% 9.62/2.00 thf(zip_derived_cl48, plain, (~ (equalish @ e_5 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_5_is_not_e_1])).
% 9.62/2.00 thf('23', plain, (~ ( (product @ e_1 @ e_5 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1634, zip_derived_cl48])).
% 9.62/2.00 thf(zip_derived_cl30, plain, ( (group_element @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_4])).
% 9.62/2.00 thf(zip_derived_cl115, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl360, plain,
% 9.62/2.00 (( (product @ e_3 @ e_4 @ e_1)
% 9.62/2.00 | (product @ e_3 @ e_4 @ e_2)
% 9.62/2.00 | (product @ e_3 @ e_4 @ e_3)
% 9.62/2.00 | (product @ e_3 @ e_4 @ e_4)
% 9.62/2.00 | (product @ e_3 @ e_4 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl115])).
% 9.62/2.00 thf(zip_derived_cl2024, plain,
% 9.62/2.00 (( (product @ e_3 @ e_4 @ e_4)) <= (( (product @ e_3 @ e_4 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl360])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl2032, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_3)) <= (( (product @ e_3 @ e_4 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2024, zip_derived_cl83])).
% 9.62/2.00 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 9.62/2.00 thf('24', plain, (~ ( (product @ e_3 @ e_4 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2032, zip_derived_cl46])).
% 9.62/2.00 thf(zip_derived_cl115, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl30, plain, ( (group_element @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_4])).
% 9.62/2.00 thf(zip_derived_cl355, plain,
% 9.62/2.00 (( (product @ e_3 @ e_4 @ e_5)
% 9.62/2.00 | (product @ e_3 @ e_4 @ e_4)
% 9.62/2.00 | (product @ e_3 @ e_4 @ e_3)
% 9.62/2.00 | (product @ e_3 @ e_4 @ e_2)
% 9.62/2.00 | (product @ e_3 @ e_4 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl30])).
% 9.62/2.00 thf(zip_derived_cl1948, plain,
% 9.62/2.00 (( (product @ e_3 @ e_4 @ e_3)) <= (( (product @ e_3 @ e_4 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl355])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3644, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_4)) <= (( (product @ e_3 @ e_4 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1948, zip_derived_cl79])).
% 9.62/2.00 thf(zip_derived_cl42, plain, (~ (equalish @ e_3 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 9.62/2.00 thf('25', plain, (~ ( (product @ e_3 @ e_4 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3644, zip_derived_cl42])).
% 9.62/2.00 thf(zip_derived_cl1946, plain,
% 9.62/2.00 (( (product @ e_3 @ e_4 @ e_5)) <= (( (product @ e_3 @ e_4 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl355])).
% 9.62/2.00 thf(zip_derived_cl1766, plain,
% 9.62/2.00 (( (product @ e_2 @ e_4 @ e_5)) <= (( (product @ e_2 @ e_4 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl332])).
% 9.62/2.00 thf(zip_derived_cl55, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.00 | (equalish @ X0 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.00 thf(zip_derived_cl1773, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_5) | (equalish @ e_2 @ X0)))
% 9.62/2.00 <= (( (product @ e_2 @ e_4 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1766, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl2117, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_3))
% 9.62/2.00 <= (( (product @ e_2 @ e_4 @ e_5)) & ( (product @ e_3 @ e_4 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1946, zip_derived_cl1773])).
% 9.62/2.00 thf(zip_derived_cl37, plain, (~ (equalish @ e_2 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 9.62/2.00 thf('26', plain,
% 9.62/2.00 (~ ( (product @ e_3 @ e_4 @ e_5)) | ~ ( (product @ e_2 @ e_4 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2117, zip_derived_cl37])).
% 9.62/2.00 thf(zip_derived_cl1950, plain,
% 9.62/2.00 (( (product @ e_3 @ e_4 @ e_1)) <= (( (product @ e_3 @ e_4 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl355])).
% 9.62/2.00 thf(zip_derived_cl1927, plain,
% 9.62/2.00 (( (product @ e_3 @ e_2 @ e_1)) <= (( (product @ e_3 @ e_2 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl353])).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl3599, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_1) | (equalish @ e_2 @ X0)))
% 9.62/2.00 <= (( (product @ e_3 @ e_2 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1927, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3723, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_4))
% 9.62/2.00 <= (( (product @ e_3 @ e_2 @ e_1)) & ( (product @ e_3 @ e_4 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1950, zip_derived_cl3599])).
% 9.62/2.00 thf(zip_derived_cl38, plain, (~ (equalish @ e_2 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 9.62/2.00 thf('27', plain,
% 9.62/2.00 (~ ( (product @ e_3 @ e_4 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3723, zip_derived_cl38])).
% 9.62/2.00 thf('28', plain,
% 9.62/2.00 (( (product @ e_2 @ e_4 @ e_5)) | ( (product @ e_2 @ e_4 @ e_1)) |
% 9.62/2.00 ( (product @ e_2 @ e_4 @ e_4)) | ( (product @ e_2 @ e_4 @ e_2)) |
% 9.62/2.00 ( (product @ e_2 @ e_4 @ e_3))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl332])).
% 9.62/2.00 thf(zip_derived_cl30, plain, ( (group_element @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_4])).
% 9.62/2.00 thf(zip_derived_cl114, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl337, plain,
% 9.62/2.00 (( (product @ e_2 @ e_4 @ e_1)
% 9.62/2.00 | (product @ e_2 @ e_4 @ e_2)
% 9.62/2.00 | (product @ e_2 @ e_4 @ e_3)
% 9.62/2.00 | (product @ e_2 @ e_4 @ e_4)
% 9.62/2.00 | (product @ e_2 @ e_4 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl114])).
% 9.62/2.00 thf(zip_derived_cl1860, plain,
% 9.62/2.00 (( (product @ e_2 @ e_4 @ e_4)) <= (( (product @ e_2 @ e_4 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl337])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl1868, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_2)) <= (( (product @ e_2 @ e_4 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1860, zip_derived_cl83])).
% 9.62/2.00 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 9.62/2.00 thf('29', plain, (~ ( (product @ e_2 @ e_4 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1868, zip_derived_cl45])).
% 9.62/2.00 thf(zip_derived_cl1769, plain,
% 9.62/2.00 (( (product @ e_2 @ e_4 @ e_2)) <= (( (product @ e_2 @ e_4 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl332])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3293, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_4)) <= (( (product @ e_2 @ e_4 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1769, zip_derived_cl79])).
% 9.62/2.00 thf(zip_derived_cl38, plain, (~ (equalish @ e_2 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 9.62/2.00 thf('30', plain, (~ ( (product @ e_2 @ e_4 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3293, zip_derived_cl38])).
% 9.62/2.00 thf(zip_derived_cl1768, plain,
% 9.62/2.00 (( (product @ e_2 @ e_4 @ e_3)) <= (( (product @ e_2 @ e_4 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl332])).
% 9.62/2.00 thf(zip_derived_cl1720, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl3007, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_3) | (equalish @ e_1 @ X0)))
% 9.62/2.00 <= (( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1720, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3263, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_4))
% 9.62/2.00 <= (( (product @ e_2 @ e_1 @ e_3)) & ( (product @ e_2 @ e_4 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1768, zip_derived_cl3007])).
% 9.62/2.00 thf(zip_derived_cl34, plain, (~ (equalish @ e_1 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 9.62/2.00 thf('31', plain,
% 9.62/2.00 (~ ( (product @ e_2 @ e_4 @ e_3)) | ~ ( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3263, zip_derived_cl34])).
% 9.62/2.00 thf(zip_derived_cl1925, plain,
% 9.62/2.00 (( (product @ e_3 @ e_2 @ e_3)) <= (( (product @ e_3 @ e_2 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl353])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3571, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_2)) <= (( (product @ e_3 @ e_2 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1925, zip_derived_cl79])).
% 9.62/2.00 thf(zip_derived_cl41, plain, (~ (equalish @ e_3 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 9.62/2.00 thf('32', plain, (~ ( (product @ e_3 @ e_2 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3571, zip_derived_cl41])).
% 9.62/2.00 thf(zip_derived_cl1926, plain,
% 9.62/2.00 (( (product @ e_3 @ e_2 @ e_2)) <= (( (product @ e_3 @ e_2 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl353])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl3584, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_3)) <= (( (product @ e_3 @ e_2 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1926, zip_derived_cl83])).
% 9.62/2.00 thf(zip_derived_cl37, plain, (~ (equalish @ e_2 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 9.62/2.00 thf('33', plain, (~ ( (product @ e_3 @ e_2 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3584, zip_derived_cl37])).
% 9.62/2.00 thf(zip_derived_cl28, plain, ( (group_element @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_2])).
% 9.62/2.00 thf(zip_derived_cl115, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl358, plain,
% 9.62/2.00 (( (product @ e_3 @ e_2 @ e_1)
% 9.62/2.00 | (product @ e_3 @ e_2 @ e_2)
% 9.62/2.00 | (product @ e_3 @ e_2 @ e_3)
% 9.62/2.00 | (product @ e_3 @ e_2 @ e_4)
% 9.62/2.00 | (product @ e_3 @ e_2 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl115])).
% 9.62/2.00 thf(zip_derived_cl2007, plain,
% 9.62/2.00 (( (product @ e_3 @ e_2 @ e_4)) <= (( (product @ e_3 @ e_2 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl358])).
% 9.62/2.00 thf(zip_derived_cl1992, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_4) | (equalish @ e_1 @ X0)))
% 9.62/2.00 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1987, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl2463, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_2))
% 9.62/2.00 <= (( (product @ e_3 @ e_1 @ e_4)) & ( (product @ e_3 @ e_2 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl2007, zip_derived_cl1992])).
% 9.62/2.00 thf(zip_derived_cl32, plain, (~ (equalish @ e_1 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 9.62/2.00 thf('34', plain,
% 9.62/2.00 (~ ( (product @ e_3 @ e_2 @ e_4)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2463, zip_derived_cl32])).
% 9.62/2.00 thf(zip_derived_cl1796, plain,
% 9.62/2.00 (( (product @ e_2 @ e_5 @ e_1)) <= (( (product @ e_2 @ e_5 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl333])).
% 9.62/2.00 thf(zip_derived_cl1770, plain,
% 9.62/2.00 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl332])).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl3305, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_1) | (equalish @ e_4 @ X0)))
% 9.62/2.00 <= (( (product @ e_2 @ e_4 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1770, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3403, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_5))
% 9.62/2.00 <= (( (product @ e_2 @ e_4 @ e_1)) & ( (product @ e_2 @ e_5 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1796, zip_derived_cl3305])).
% 9.62/2.00 thf(zip_derived_cl47, plain, (~ (equalish @ e_4 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 9.62/2.00 thf('35', plain,
% 9.62/2.00 (~ ( (product @ e_2 @ e_4 @ e_1)) | ~ ( (product @ e_2 @ e_5 @ e_1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3403, zip_derived_cl47])).
% 9.62/2.00 thf(zip_derived_cl1949, plain,
% 9.62/2.00 (( (product @ e_3 @ e_4 @ e_2)) <= (( (product @ e_3 @ e_4 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl355])).
% 9.62/2.00 thf(zip_derived_cl1720, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.00 thf(zip_derived_cl1575, plain,
% 9.62/2.00 (( (product @ e_1 @ e_2 @ e_5)) <= (( (product @ e_1 @ e_2 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl308])).
% 9.62/2.00 thf(zip_derived_cl57, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 ( (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X2 @ X1)
% 9.62/2.00 | ~ (product @ X2 @ X3 @ X0))),
% 9.62/2.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.62/2.00 thf(zip_derived_cl1583, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 ( (product @ X0 @ e_5 @ e_2) | ~ (product @ e_2 @ e_1 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1575, zip_derived_cl57])).
% 9.62/2.00 thf(zip_derived_cl3012, plain,
% 9.62/2.00 (( (product @ e_3 @ e_5 @ e_2))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1720, zip_derived_cl1583])).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl3047, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_2) | (equalish @ e_5 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3012, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3670, plain,
% 9.62/2.00 (( (equalish @ e_5 @ e_4))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 9.62/2.00 ( (product @ e_2 @ e_1 @ e_3)) &
% 9.62/2.00 ( (product @ e_3 @ e_4 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1949, zip_derived_cl3047])).
% 9.62/2.00 thf(e_5_is_not_e_4, axiom, (~( equalish @ e_5 @ e_4 ))).
% 9.62/2.00 thf(zip_derived_cl51, plain, (~ (equalish @ e_5 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_5_is_not_e_4])).
% 9.62/2.00 thf('36', plain,
% 9.62/2.00 (~ ( (product @ e_1 @ e_2 @ e_5)) | ~ ( (product @ e_3 @ e_4 @ e_2)) |
% 9.62/2.00 ~ ( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3670, zip_derived_cl51])).
% 9.62/2.00 thf(zip_derived_cl1923, plain,
% 9.62/2.00 (( (product @ e_3 @ e_2 @ e_5)) <= (( (product @ e_3 @ e_2 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl353])).
% 9.62/2.00 thf(zip_derived_cl1575, plain,
% 9.62/2.00 (( (product @ e_1 @ e_2 @ e_5)) <= (( (product @ e_1 @ e_2 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl308])).
% 9.62/2.00 thf(zip_derived_cl55, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.00 | (equalish @ X0 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.00 thf(zip_derived_cl1582, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_5) | (equalish @ e_1 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1575, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl1932, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_3))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_3 @ e_2 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1923, zip_derived_cl1582])).
% 9.62/2.00 thf(zip_derived_cl33, plain, (~ (equalish @ e_1 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 9.62/2.00 thf('37', plain,
% 9.62/2.00 (~ ( (product @ e_1 @ e_2 @ e_5)) | ~ ( (product @ e_3 @ e_2 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1932, zip_derived_cl33])).
% 9.62/2.00 thf('38', plain,
% 9.62/2.00 (( (product @ e_2 @ e_5 @ e_4)) | ( (product @ e_2 @ e_5 @ e_1)) |
% 9.62/2.00 ( (product @ e_2 @ e_5 @ e_5)) | ( (product @ e_2 @ e_5 @ e_2)) |
% 9.62/2.00 ( (product @ e_2 @ e_5 @ e_3))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl333])).
% 9.62/2.00 thf(zip_derived_cl1792, plain,
% 9.62/2.00 (( (product @ e_2 @ e_5 @ e_5)) <= (( (product @ e_2 @ e_5 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl333])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl1801, plain,
% 9.62/2.00 (( (equalish @ e_5 @ e_2)) <= (( (product @ e_2 @ e_5 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1792, zip_derived_cl83])).
% 9.62/2.00 thf(e_5_is_not_e_2, axiom, (~( equalish @ e_5 @ e_2 ))).
% 9.62/2.00 thf(zip_derived_cl49, plain, (~ (equalish @ e_5 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_5_is_not_e_2])).
% 9.62/2.00 thf('39', plain, (~ ( (product @ e_2 @ e_5 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1801, zip_derived_cl49])).
% 9.62/2.00 thf(zip_derived_cl1795, plain,
% 9.62/2.00 (( (product @ e_2 @ e_5 @ e_2)) <= (( (product @ e_2 @ e_5 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl333])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3381, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_5)) <= (( (product @ e_2 @ e_5 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1795, zip_derived_cl79])).
% 9.62/2.00 thf(e_2_is_not_e_5, axiom, (~( equalish @ e_2 @ e_5 ))).
% 9.62/2.00 thf(zip_derived_cl39, plain, (~ (equalish @ e_2 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_5])).
% 9.62/2.00 thf('40', plain, (~ ( (product @ e_2 @ e_5 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3381, zip_derived_cl39])).
% 9.62/2.00 thf(zip_derived_cl1720, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.00 thf(zip_derived_cl29, plain, ( (group_element @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_3])).
% 9.62/2.00 thf(cycle2, axiom,
% 9.62/2.00 (( ~( group_element @ X ) ) | ( cycle @ X @ e_0 ) | ( cycle @ X @ e_1 ) |
% 9.62/2.00 ( cycle @ X @ e_2 ) | ( cycle @ X @ e_3 ) | ( cycle @ X @ e_4 ))).
% 9.62/2.00 thf(zip_derived_cl21, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (cycle @ X0 @ e_0)
% 9.62/2.00 | (cycle @ X0 @ e_1)
% 9.62/2.00 | (cycle @ X0 @ e_2)
% 9.62/2.00 | (cycle @ X0 @ e_3)
% 9.62/2.00 | (cycle @ X0 @ e_4))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle2])).
% 9.62/2.00 thf(zip_derived_cl74, plain,
% 9.62/2.00 (( (cycle @ e_3 @ e_0)
% 9.62/2.00 | (cycle @ e_3 @ e_1)
% 9.62/2.00 | (cycle @ e_3 @ e_2)
% 9.62/2.00 | (cycle @ e_3 @ e_3)
% 9.62/2.00 | (cycle @ e_3 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl21])).
% 9.62/2.00 thf(zip_derived_cl213, plain,
% 9.62/2.00 (( (cycle @ e_3 @ e_2)) <= (( (cycle @ e_3 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.00 thf(zip_derived_cl28, plain, ( (group_element @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_2])).
% 9.62/2.00 thf(zip_derived_cl21, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (cycle @ X0 @ e_0)
% 9.62/2.00 | (cycle @ X0 @ e_1)
% 9.62/2.00 | (cycle @ X0 @ e_2)
% 9.62/2.00 | (cycle @ X0 @ e_3)
% 9.62/2.00 | (cycle @ X0 @ e_4))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle2])).
% 9.62/2.00 thf(zip_derived_cl73, plain,
% 9.62/2.00 (( (cycle @ e_2 @ e_0)
% 9.62/2.00 | (cycle @ e_2 @ e_1)
% 9.62/2.00 | (cycle @ e_2 @ e_2)
% 9.62/2.00 | (cycle @ e_2 @ e_3)
% 9.62/2.00 | (cycle @ e_2 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl21])).
% 9.62/2.00 thf(zip_derived_cl173, plain,
% 9.62/2.00 (( (cycle @ e_2 @ e_2)) <= (( (cycle @ e_2 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.00 thf(cycle4, axiom,
% 9.62/2.00 (( ~( cycle @ X @ Y ) ) | ( ~( cycle @ W @ Z ) ) | ( ~( next @ X @ W ) ) |
% 9.62/2.00 ( ~( greater @ Y @ e_0 ) ) | ( ~( next @ Z @ Z1 ) ) |
% 9.62/2.00 ( equalish @ Y @ Z1 ))).
% 9.62/2.00 thf(zip_derived_cl23, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ X1)
% 9.62/2.00 | ~ (cycle @ X2 @ X3)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | ~ (greater @ X1 @ e_0)
% 9.62/2.00 | ~ (next @ X3 @ X4)
% 9.62/2.00 | (equalish @ X1 @ X4))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle4])).
% 9.62/2.00 thf(zip_derived_cl187, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_2 @ X1)
% 9.62/2.00 | ~ (greater @ e_2 @ e_0)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_2 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_2 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl23])).
% 9.62/2.00 thf(e_2_greater_e_0, axiom, (greater @ e_2 @ e_0)).
% 9.62/2.00 thf(zip_derived_cl6, plain, ( (greater @ e_2 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_greater_e_0])).
% 9.62/2.00 thf(zip_derived_cl190, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_2 @ X1)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_2 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_2 @ e_2)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl6])).
% 9.62/2.00 thf(zip_derived_cl801, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 (~ (next @ e_2 @ e_3) | ~ (next @ e_2 @ X0) | (equalish @ e_2 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_2 @ e_2)) & ( (cycle @ e_3 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl190])).
% 9.62/2.00 thf(e_2_then_e_3, axiom, (next @ e_2 @ e_3)).
% 9.62/2.00 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.00 thf(zip_derived_cl812, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (next @ e_2 @ X0) | (equalish @ e_2 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_2 @ e_2)) & ( (cycle @ e_3 @ e_2)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl801, zip_derived_cl2])).
% 9.62/2.00 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.00 thf(zip_derived_cl1342, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_3))
% 9.62/2.00 <= (( (cycle @ e_2 @ e_2)) & ( (cycle @ e_3 @ e_2)))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl812, zip_derived_cl2])).
% 9.62/2.00 thf(zip_derived_cl37, plain, (~ (equalish @ e_2 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 9.62/2.00 thf('41', plain, (~ ( (cycle @ e_2 @ e_2)) | ~ ( (cycle @ e_3 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1342, zip_derived_cl37])).
% 9.62/2.00 thf(zip_derived_cl27, plain, ( (group_element @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_1])).
% 9.62/2.00 thf(zip_derived_cl114, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_2 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl334, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_1)
% 9.62/2.00 | (product @ e_2 @ e_1 @ e_2)
% 9.62/2.00 | (product @ e_2 @ e_1 @ e_3)
% 9.62/2.00 | (product @ e_2 @ e_1 @ e_4)
% 9.62/2.00 | (product @ e_2 @ e_1 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl114])).
% 9.62/2.00 thf(zip_derived_cl1812, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_4)) <= (( (product @ e_2 @ e_1 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl334])).
% 9.62/2.00 thf(cycle7, axiom,
% 9.62/2.00 (( ~( cycle @ X @ Y ) ) | ( ~( product @ X @ e_1 @ Z ) ) |
% 9.62/2.00 ( ~( greater @ Y @ e_0 ) ) | ( ~( next @ X @ X1 ) ) |
% 9.62/2.00 ( equalish @ Z @ X1 ))).
% 9.62/2.00 thf(zip_derived_cl26, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ X1)
% 9.62/2.00 | ~ (product @ X0 @ e_1 @ X2)
% 9.62/2.00 | ~ (greater @ X1 @ e_0)
% 9.62/2.00 | ~ (next @ X0 @ X3)
% 9.62/2.00 | (equalish @ X2 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle7])).
% 9.62/2.00 thf(zip_derived_cl1821, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (cycle @ e_2 @ X0)
% 9.62/2.00 | ~ (greater @ X0 @ e_0)
% 9.62/2.00 | ~ (next @ e_2 @ X1)
% 9.62/2.00 | (equalish @ e_4 @ X1)))
% 9.62/2.00 <= (( (product @ e_2 @ e_1 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1812, zip_derived_cl26])).
% 9.62/2.00 thf(zip_derived_cl3874, plain,
% 9.62/2.00 ((![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1)))
% 9.62/2.00 <= ((![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1))))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl1821])).
% 9.62/2.00 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.00 thf(zip_derived_cl3876, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_3))
% 9.62/2.00 <= ((![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1))))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl3874, zip_derived_cl2])).
% 9.62/2.00 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 9.62/2.00 thf('42', plain,
% 9.62/2.00 (~ (![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3876, zip_derived_cl46])).
% 9.62/2.00 thf(zip_derived_cl1718, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_5)) <= (( (product @ e_2 @ e_1 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.00 thf(zip_derived_cl26, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ X1)
% 9.62/2.00 | ~ (product @ X0 @ e_1 @ X2)
% 9.62/2.00 | ~ (greater @ X1 @ e_0)
% 9.62/2.00 | ~ (next @ X0 @ X3)
% 9.62/2.00 | (equalish @ X2 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle7])).
% 9.62/2.00 thf(zip_derived_cl1728, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (cycle @ e_2 @ X0)
% 9.62/2.00 | ~ (greater @ X0 @ e_0)
% 9.62/2.00 | ~ (next @ e_2 @ X1)
% 9.62/2.00 | (equalish @ e_5 @ X1)))
% 9.62/2.00 <= (( (product @ e_2 @ e_1 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1718, zip_derived_cl26])).
% 9.62/2.00 thf('43', plain,
% 9.62/2.00 (~ ( (product @ e_2 @ e_1 @ e_5)) |
% 9.62/2.00 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))) |
% 9.62/2.00 (![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_5 @ X1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl1728])).
% 9.62/2.00 thf(zip_derived_cl3740, plain,
% 9.62/2.00 ((![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_5 @ X1)))
% 9.62/2.00 <= ((![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_5 @ X1))))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl1728])).
% 9.62/2.00 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.00 thf(zip_derived_cl3742, plain,
% 9.62/2.00 (( (equalish @ e_5 @ e_3))
% 9.62/2.00 <= ((![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_5 @ X1))))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl3740, zip_derived_cl2])).
% 9.62/2.00 thf(zip_derived_cl50, plain, (~ (equalish @ e_5 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_5_is_not_e_3])).
% 9.62/2.00 thf('44', plain,
% 9.62/2.00 (~ (![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_5 @ X1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3742, zip_derived_cl50])).
% 9.62/2.00 thf(zip_derived_cl1578, plain,
% 9.62/2.00 (( (product @ e_1 @ e_2 @ e_2)) <= (( (product @ e_1 @ e_2 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl308])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl2713, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1578, zip_derived_cl83])).
% 9.62/2.00 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 9.62/2.00 thf('45', plain, (~ ( (product @ e_1 @ e_2 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2713, zip_derived_cl36])).
% 9.62/2.00 thf(zip_derived_cl1579, plain,
% 9.62/2.00 (( (product @ e_1 @ e_2 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl308])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl2725, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_2)) <= (( (product @ e_1 @ e_2 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1579, zip_derived_cl79])).
% 9.62/2.00 thf(zip_derived_cl32, plain, (~ (equalish @ e_1 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 9.62/2.00 thf('46', plain, (~ ( (product @ e_1 @ e_2 @ e_1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl2725, zip_derived_cl32])).
% 9.62/2.00 thf(zip_derived_cl1720, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.00 thf(zip_derived_cl28, plain, ( (group_element @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_2])).
% 9.62/2.00 thf(zip_derived_cl113, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_1 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl313, plain,
% 9.62/2.00 (( (product @ e_1 @ e_2 @ e_1)
% 9.62/2.00 | (product @ e_1 @ e_2 @ e_2)
% 9.62/2.00 | (product @ e_1 @ e_2 @ e_3)
% 9.62/2.00 | (product @ e_1 @ e_2 @ e_4)
% 9.62/2.00 | (product @ e_1 @ e_2 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl113])).
% 9.62/2.00 thf(zip_derived_cl1648, plain,
% 9.62/2.00 (( (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl313])).
% 9.62/2.00 thf(zip_derived_cl57, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 ( (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X3 @ X2 @ X1)
% 9.62/2.00 | ~ (product @ X2 @ X3 @ X0))),
% 9.62/2.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.62/2.00 thf(zip_derived_cl1654, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 ( (product @ X0 @ e_3 @ e_2) | ~ (product @ e_2 @ e_1 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1648, zip_derived_cl57])).
% 9.62/2.00 thf(zip_derived_cl3014, plain,
% 9.62/2.00 (( (product @ e_3 @ e_3 @ e_2))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1720, zip_derived_cl1654])).
% 9.62/2.00 thf(zip_derived_cl56, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 9.62/2.00 inference('cnf', [status(esa)], [product_idempotence])).
% 9.62/2.00 thf(product_total_function2, axiom,
% 9.62/2.00 (( ~( product @ X @ Y @ W ) ) | ( ~( product @ X @ Y @ Z ) ) |
% 9.62/2.00 ( equalish @ W @ Z ))).
% 9.62/2.00 thf(zip_derived_cl53, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X1 @ X3)
% 9.62/2.00 | (equalish @ X2 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_total_function2])).
% 9.62/2.00 thf(zip_derived_cl68, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X0 @ X1) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl53])).
% 9.62/2.00 thf(zip_derived_cl3158, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_2))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3014, zip_derived_cl68])).
% 9.62/2.00 thf(zip_derived_cl41, plain, (~ (equalish @ e_3 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 9.62/2.00 thf('47', plain,
% 9.62/2.00 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3158, zip_derived_cl41])).
% 9.62/2.00 thf(zip_derived_cl115, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_1)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_2)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_3)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_4)
% 9.62/2.00 | (product @ e_3 @ X0 @ e_5))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl52])).
% 9.62/2.00 thf(zip_derived_cl27, plain, ( (group_element @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_1])).
% 9.62/2.00 thf(zip_derived_cl352, plain,
% 9.62/2.00 (( (product @ e_3 @ e_1 @ e_5)
% 9.62/2.00 | (product @ e_3 @ e_1 @ e_4)
% 9.62/2.00 | (product @ e_3 @ e_1 @ e_3)
% 9.62/2.00 | (product @ e_3 @ e_1 @ e_2)
% 9.62/2.00 | (product @ e_3 @ e_1 @ e_1))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl27])).
% 9.62/2.00 thf(zip_derived_cl1900, plain,
% 9.62/2.00 (( (product @ e_3 @ e_1 @ e_2)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl352])).
% 9.62/2.00 thf(zip_derived_cl3047, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_2) | (equalish @ e_5 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3012, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3491, plain,
% 9.62/2.00 (( (equalish @ e_5 @ e_1))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 9.62/2.00 ( (product @ e_2 @ e_1 @ e_3)) &
% 9.62/2.00 ( (product @ e_3 @ e_1 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1900, zip_derived_cl3047])).
% 9.62/2.00 thf(zip_derived_cl48, plain, (~ (equalish @ e_5 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_5_is_not_e_1])).
% 9.62/2.00 thf('48', plain,
% 9.62/2.00 (~ ( (product @ e_1 @ e_2 @ e_5)) | ~ ( (product @ e_3 @ e_1 @ e_2)) |
% 9.62/2.00 ~ ( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3491, zip_derived_cl48])).
% 9.62/2.00 thf(zip_derived_cl1900, plain,
% 9.62/2.00 (( (product @ e_3 @ e_1 @ e_2)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl352])).
% 9.62/2.00 thf(zip_derived_cl3013, plain,
% 9.62/2.00 (( (product @ e_3 @ e_4 @ e_2))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1720, zip_derived_cl1642])).
% 9.62/2.00 thf(zip_derived_cl54, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.00 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.00 | (equalish @ X1 @ X3))),
% 9.62/2.00 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.00 thf(zip_derived_cl3102, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_2) | (equalish @ e_4 @ X0)))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3013, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3492, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_1))
% 9.62/2.00 <= (( (product @ e_1 @ e_2 @ e_4)) &
% 9.62/2.00 ( (product @ e_2 @ e_1 @ e_3)) &
% 9.62/2.00 ( (product @ e_3 @ e_1 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl1900, zip_derived_cl3102])).
% 9.62/2.00 thf(zip_derived_cl44, plain, (~ (equalish @ e_4 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 9.62/2.00 thf('49', plain,
% 9.62/2.00 (~ ( (product @ e_3 @ e_1 @ e_2)) | ~ ( (product @ e_1 @ e_2 @ e_4)) |
% 9.62/2.00 ~ ( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3492, zip_derived_cl44])).
% 9.62/2.00 thf('50', plain,
% 9.62/2.00 (( (product @ e_1 @ e_2 @ e_4)) | ( (product @ e_1 @ e_2 @ e_5)) |
% 9.62/2.00 ( (product @ e_1 @ e_2 @ e_2)) | ( (product @ e_1 @ e_2 @ e_3)) |
% 9.62/2.00 ( (product @ e_1 @ e_2 @ e_1))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl308])).
% 9.62/2.00 thf(zip_derived_cl174, plain,
% 9.62/2.00 (( (cycle @ e_2 @ e_1)) <= (( (cycle @ e_2 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.00 thf(zip_derived_cl3741, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0)))
% 9.62/2.00 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl1728])).
% 9.62/2.00 thf(zip_derived_cl3749, plain,
% 9.62/2.00 ((~ (greater @ e_1 @ e_0))
% 9.62/2.00 <= (( (cycle @ e_2 @ e_1)) &
% 9.62/2.00 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))))),
% 9.62/2.00 inference('s_sup-', [status(thm)],
% 9.62/2.00 [zip_derived_cl174, zip_derived_cl3741])).
% 9.62/2.00 thf(e_1_greater_e_0, axiom, (greater @ e_1 @ e_0)).
% 9.62/2.00 thf(zip_derived_cl5, plain, ( (greater @ e_1 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_greater_e_0])).
% 9.62/2.00 thf('51', plain,
% 9.62/2.00 (~ (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))) |
% 9.62/2.00 ~ ( (cycle @ e_2 @ e_1))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl3749, zip_derived_cl5])).
% 9.62/2.00 thf(zip_derived_cl1899, plain,
% 9.62/2.00 (( (product @ e_3 @ e_1 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl352])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3457, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_1)) <= (( (product @ e_3 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1899, zip_derived_cl79])).
% 9.62/2.00 thf(e_3_is_not_e_1, axiom, (~( equalish @ e_3 @ e_1 ))).
% 9.62/2.00 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 9.62/2.00 thf('52', plain, (~ ( (product @ e_3 @ e_1 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3457, zip_derived_cl40])).
% 9.62/2.00 thf(zip_derived_cl1901, plain,
% 9.62/2.00 (( (product @ e_3 @ e_1 @ e_1)) <= (( (product @ e_3 @ e_1 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl352])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl3547, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1901, zip_derived_cl83])).
% 9.62/2.00 thf(zip_derived_cl33, plain, (~ (equalish @ e_1 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 9.62/2.00 thf('53', plain, (~ ( (product @ e_3 @ e_1 @ e_1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3547, zip_derived_cl33])).
% 9.62/2.00 thf(zip_derived_cl1987, plain,
% 9.62/2.00 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl357])).
% 9.62/2.00 thf(cycle6, axiom,
% 9.62/2.00 (( ~( cycle @ X @ e_0 ) ) | ( ~( product @ X @ e_1 @ Y ) ) |
% 9.62/2.00 ( ~( greater @ Y @ X ) ))).
% 9.62/2.00 thf(zip_derived_cl25, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ e_0)
% 9.62/2.00 | ~ (product @ X0 @ e_1 @ X1)
% 9.62/2.00 | ~ (greater @ X1 @ X0))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle6])).
% 9.62/2.00 thf(zip_derived_cl1995, plain,
% 9.62/2.00 (((~ (cycle @ e_3 @ e_0) | ~ (greater @ e_4 @ e_3)))
% 9.62/2.00 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1987, zip_derived_cl25])).
% 9.62/2.00 thf(e_4_greater_e_3, axiom, (greater @ e_4 @ e_3)).
% 9.62/2.00 thf(zip_derived_cl17, plain, ( (greater @ e_4 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_greater_e_3])).
% 9.62/2.00 thf(zip_derived_cl1999, plain,
% 9.62/2.00 ((~ (cycle @ e_3 @ e_0)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl1995, zip_derived_cl17])).
% 9.62/2.00 thf(zip_derived_cl215, plain,
% 9.62/2.00 (( (cycle @ e_3 @ e_0)) <= (( (cycle @ e_3 @ e_0)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.00 thf('54', plain,
% 9.62/2.00 (~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (cycle @ e_3 @ e_0))),
% 9.62/2.00 inference('s_sup+', [status(thm)],
% 9.62/2.00 [zip_derived_cl1999, zip_derived_cl215])).
% 9.62/2.00 thf(zip_derived_cl1897, plain,
% 9.62/2.00 (( (product @ e_3 @ e_1 @ e_5)) <= (( (product @ e_3 @ e_1 @ e_5)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl352])).
% 9.62/2.00 thf(zip_derived_cl25, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ e_0)
% 9.62/2.00 | ~ (product @ X0 @ e_1 @ X1)
% 9.62/2.00 | ~ (greater @ X1 @ X0))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle6])).
% 9.62/2.00 thf(zip_derived_cl1906, plain,
% 9.62/2.00 (((~ (cycle @ e_3 @ e_0) | ~ (greater @ e_5 @ e_3)))
% 9.62/2.00 <= (( (product @ e_3 @ e_1 @ e_5)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1897, zip_derived_cl25])).
% 9.62/2.00 thf(e_5_greater_e_3, axiom, (greater @ e_5 @ e_3)).
% 9.62/2.00 thf(zip_derived_cl18, plain, ( (greater @ e_5 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_5_greater_e_3])).
% 9.62/2.00 thf(zip_derived_cl1910, plain,
% 9.62/2.00 ((~ (cycle @ e_3 @ e_0)) <= (( (product @ e_3 @ e_1 @ e_5)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl1906, zip_derived_cl18])).
% 9.62/2.00 thf(zip_derived_cl215, plain,
% 9.62/2.00 (( (cycle @ e_3 @ e_0)) <= (( (cycle @ e_3 @ e_0)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.00 thf('55', plain,
% 9.62/2.00 (~ ( (cycle @ e_3 @ e_0)) | ~ ( (product @ e_3 @ e_1 @ e_5))),
% 9.62/2.00 inference('s_sup+', [status(thm)],
% 9.62/2.00 [zip_derived_cl1910, zip_derived_cl215])).
% 9.62/2.00 thf('56', plain,
% 9.62/2.00 (( (product @ e_3 @ e_1 @ e_5)) | ( (product @ e_3 @ e_1 @ e_4)) |
% 9.62/2.00 ( (product @ e_3 @ e_1 @ e_3)) | ( (product @ e_3 @ e_1 @ e_1)) |
% 9.62/2.00 ( (product @ e_3 @ e_1 @ e_2))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl352])).
% 9.62/2.00 thf(zip_derived_cl30, plain, ( (group_element @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [element_4])).
% 9.62/2.00 thf(zip_derived_cl21, plain,
% 9.62/2.00 (![X0 : $i]:
% 9.62/2.00 (~ (group_element @ X0)
% 9.62/2.00 | (cycle @ X0 @ e_0)
% 9.62/2.00 | (cycle @ X0 @ e_1)
% 9.62/2.00 | (cycle @ X0 @ e_2)
% 9.62/2.00 | (cycle @ X0 @ e_3)
% 9.62/2.00 | (cycle @ X0 @ e_4))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle2])).
% 9.62/2.00 thf(zip_derived_cl75, plain,
% 9.62/2.00 (( (cycle @ e_4 @ e_0)
% 9.62/2.00 | (cycle @ e_4 @ e_1)
% 9.62/2.00 | (cycle @ e_4 @ e_2)
% 9.62/2.00 | (cycle @ e_4 @ e_3)
% 9.62/2.00 | (cycle @ e_4 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl21])).
% 9.62/2.00 thf(zip_derived_cl237, plain,
% 9.62/2.00 (( (cycle @ e_4 @ e_1)) <= (( (cycle @ e_4 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.00 thf(zip_derived_cl211, plain,
% 9.62/2.00 (( (cycle @ e_3 @ e_4)) <= (( (cycle @ e_3 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.00 thf(zip_derived_cl23, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ X1)
% 9.62/2.00 | ~ (cycle @ X2 @ X3)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | ~ (greater @ X1 @ e_0)
% 9.62/2.00 | ~ (next @ X3 @ X4)
% 9.62/2.00 | (equalish @ X1 @ X4))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle4])).
% 9.62/2.00 thf(zip_derived_cl217, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_3 @ X1)
% 9.62/2.00 | ~ (greater @ e_4 @ e_0)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_4 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl211, zip_derived_cl23])).
% 9.62/2.00 thf(e_4_greater_e_0, axiom, (greater @ e_4 @ e_0)).
% 9.62/2.00 thf(zip_derived_cl8, plain, ( (greater @ e_4 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_greater_e_0])).
% 9.62/2.00 thf(zip_derived_cl220, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_3 @ X1)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_4 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_4)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl8])).
% 9.62/2.00 thf(zip_derived_cl990, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 (~ (next @ e_3 @ e_4) | ~ (next @ e_1 @ X0) | (equalish @ e_4 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_4)) & ( (cycle @ e_4 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl220])).
% 9.62/2.00 thf(e_3_then_e_4, axiom, (next @ e_3 @ e_4)).
% 9.62/2.00 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 9.62/2.00 thf(zip_derived_cl996, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (next @ e_1 @ X0) | (equalish @ e_4 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_4)) & ( (cycle @ e_4 @ e_1)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl990, zip_derived_cl3])).
% 9.62/2.00 thf(e_1_then_e_2, axiom, (next @ e_1 @ e_2)).
% 9.62/2.00 thf(zip_derived_cl1, plain, ( (next @ e_1 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_then_e_2])).
% 9.62/2.00 thf(zip_derived_cl1543, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_2))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_4)) & ( (cycle @ e_4 @ e_1)))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl996, zip_derived_cl1])).
% 9.62/2.00 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 9.62/2.00 thf('57', plain, (~ ( (cycle @ e_3 @ e_4)) | ~ ( (cycle @ e_4 @ e_1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1543, zip_derived_cl45])).
% 9.62/2.00 thf(e_4_then_e_5, axiom, (next @ e_4 @ e_5)).
% 9.62/2.00 thf(zip_derived_cl4, plain, ( (next @ e_4 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_then_e_5])).
% 9.62/2.00 thf(cycle3, axiom, (cycle @ e_5 @ e_0)).
% 9.62/2.00 thf(zip_derived_cl22, plain, ( (cycle @ e_5 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle3])).
% 9.62/2.00 thf(zip_derived_cl211, plain,
% 9.62/2.00 (( (cycle @ e_3 @ e_4)) <= (( (cycle @ e_3 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.00 thf(cycle5, axiom,
% 9.62/2.00 (( ~( cycle @ X @ Z1 ) ) | ( ~( cycle @ Y @ e_0 ) ) |
% 9.62/2.00 ( ~( cycle @ W @ Z2 ) ) | ( ~( next @ Y @ W ) ) |
% 9.62/2.00 ( ~( greater @ Y @ X ) ) | ( ~( greater @ Z1 @ Z2 ) ))).
% 9.62/2.00 thf(zip_derived_cl24, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ X1)
% 9.62/2.00 | ~ (cycle @ X2 @ e_0)
% 9.62/2.00 | ~ (cycle @ X3 @ X4)
% 9.62/2.00 | ~ (next @ X2 @ X3)
% 9.62/2.00 | ~ (greater @ X2 @ X0)
% 9.62/2.00 | ~ (greater @ X1 @ X4))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle5])).
% 9.62/2.00 thf(zip_derived_cl218, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ e_0)
% 9.62/2.00 | ~ (cycle @ X2 @ X1)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | ~ (greater @ X0 @ e_3)
% 9.62/2.00 | ~ (greater @ e_4 @ X1)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl211, zip_derived_cl24])).
% 9.62/2.00 thf(zip_derived_cl947, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ e_0)
% 9.62/2.00 | ~ (next @ X0 @ e_5)
% 9.62/2.00 | ~ (greater @ X0 @ e_3)
% 9.62/2.00 | ~ (greater @ e_4 @ e_0)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl218])).
% 9.62/2.00 thf(zip_derived_cl8, plain, ( (greater @ e_4 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_greater_e_0])).
% 9.62/2.00 thf(zip_derived_cl961, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ e_0) | ~ (next @ X0 @ e_5) | ~ (greater @ X0 @ e_3)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_4)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl947, zip_derived_cl8])).
% 9.62/2.00 thf(zip_derived_cl971, plain,
% 9.62/2.00 (((~ (cycle @ e_4 @ e_0) | ~ (greater @ e_4 @ e_3)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl961])).
% 9.62/2.00 thf(zip_derived_cl17, plain, ( (greater @ e_4 @ e_3)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_greater_e_3])).
% 9.62/2.00 thf(zip_derived_cl972, plain,
% 9.62/2.00 ((~ (cycle @ e_4 @ e_0)) <= (( (cycle @ e_3 @ e_4)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl971, zip_derived_cl17])).
% 9.62/2.00 thf(zip_derived_cl238, plain,
% 9.62/2.00 (( (cycle @ e_4 @ e_0)) <= (( (cycle @ e_4 @ e_0)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.00 thf('58', plain, (~ ( (cycle @ e_3 @ e_4)) | ~ ( (cycle @ e_4 @ e_0))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl972, zip_derived_cl238])).
% 9.62/2.00 thf(zip_derived_cl237, plain,
% 9.62/2.00 (( (cycle @ e_4 @ e_1)) <= (( (cycle @ e_4 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.00 thf(zip_derived_cl214, plain,
% 9.62/2.00 (( (cycle @ e_3 @ e_1)) <= (( (cycle @ e_3 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.00 thf(zip_derived_cl23, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ X1)
% 9.62/2.00 | ~ (cycle @ X2 @ X3)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | ~ (greater @ X1 @ e_0)
% 9.62/2.00 | ~ (next @ X3 @ X4)
% 9.62/2.00 | (equalish @ X1 @ X4))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle4])).
% 9.62/2.00 thf(zip_derived_cl251, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_3 @ X1)
% 9.62/2.00 | ~ (greater @ e_1 @ e_0)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_1 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl23])).
% 9.62/2.00 thf(zip_derived_cl5, plain, ( (greater @ e_1 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_greater_e_0])).
% 9.62/2.00 thf(zip_derived_cl254, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_3 @ X1)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_1 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_1)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl251, zip_derived_cl5])).
% 9.62/2.00 thf(zip_derived_cl1290, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 (~ (next @ e_3 @ e_4) | ~ (next @ e_1 @ X0) | (equalish @ e_1 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_1)) & ( (cycle @ e_4 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl254])).
% 9.62/2.00 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 9.62/2.00 thf(zip_derived_cl1295, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (next @ e_1 @ X0) | (equalish @ e_1 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_3 @ e_1)) & ( (cycle @ e_4 @ e_1)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl1290, zip_derived_cl3])).
% 9.62/2.00 thf(zip_derived_cl22, plain, ( (cycle @ e_5 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle3])).
% 9.62/2.00 thf(zip_derived_cl234, plain,
% 9.62/2.00 (( (cycle @ e_4 @ e_4)) <= (( (cycle @ e_4 @ e_4)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.00 thf(zip_derived_cl23, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ X1)
% 9.62/2.00 | ~ (cycle @ X2 @ X3)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | ~ (greater @ X1 @ e_0)
% 9.62/2.00 | ~ (next @ X3 @ X4)
% 9.62/2.00 | (equalish @ X1 @ X4))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle4])).
% 9.62/2.00 thf(zip_derived_cl240, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_4 @ X1)
% 9.62/2.00 | ~ (greater @ e_4 @ e_0)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_4 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl23])).
% 9.62/2.00 thf(zip_derived_cl8, plain, ( (greater @ e_4 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_greater_e_0])).
% 9.62/2.00 thf(zip_derived_cl243, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_4 @ X1)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_4 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_4)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl240, zip_derived_cl8])).
% 9.62/2.00 thf(zip_derived_cl1221, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 (~ (next @ e_4 @ e_5) | ~ (next @ e_0 @ X0) | (equalish @ e_4 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_4)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl243])).
% 9.62/2.00 thf(zip_derived_cl4, plain, ( (next @ e_4 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_then_e_5])).
% 9.62/2.00 thf(zip_derived_cl1222, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (next @ e_0 @ X0) | (equalish @ e_4 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_4)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl1221, zip_derived_cl4])).
% 9.62/2.00 thf(e_0_then_e_1, axiom, (next @ e_0 @ e_1)).
% 9.62/2.00 thf(zip_derived_cl0, plain, ( (next @ e_0 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_0_then_e_1])).
% 9.62/2.00 thf(zip_derived_cl1227, plain,
% 9.62/2.00 (( (equalish @ e_4 @ e_1)) <= (( (cycle @ e_4 @ e_4)))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl1222, zip_derived_cl0])).
% 9.62/2.00 thf(zip_derived_cl44, plain, (~ (equalish @ e_4 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 9.62/2.00 thf('59', plain, (~ ( (cycle @ e_4 @ e_4))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1227, zip_derived_cl44])).
% 9.62/2.00 thf(zip_derived_cl22, plain, ( (cycle @ e_5 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle3])).
% 9.62/2.00 thf(zip_derived_cl236, plain,
% 9.62/2.00 (( (cycle @ e_4 @ e_2)) <= (( (cycle @ e_4 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.00 thf(zip_derived_cl23, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ X1)
% 9.62/2.00 | ~ (cycle @ X2 @ X3)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | ~ (greater @ X1 @ e_0)
% 9.62/2.00 | ~ (next @ X3 @ X4)
% 9.62/2.00 | (equalish @ X1 @ X4))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle4])).
% 9.62/2.00 thf(zip_derived_cl279, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_4 @ X1)
% 9.62/2.00 | ~ (greater @ e_2 @ e_0)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_2 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl236, zip_derived_cl23])).
% 9.62/2.00 thf(zip_derived_cl6, plain, ( (greater @ e_2 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_greater_e_0])).
% 9.62/2.00 thf(zip_derived_cl282, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_4 @ X1)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_2 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_2)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl279, zip_derived_cl6])).
% 9.62/2.00 thf(zip_derived_cl1467, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 (~ (next @ e_4 @ e_5) | ~ (next @ e_0 @ X0) | (equalish @ e_2 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl282])).
% 9.62/2.00 thf(zip_derived_cl4, plain, ( (next @ e_4 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_then_e_5])).
% 9.62/2.00 thf(zip_derived_cl1468, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (next @ e_0 @ X0) | (equalish @ e_2 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_2)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl1467, zip_derived_cl4])).
% 9.62/2.00 thf(zip_derived_cl0, plain, ( (next @ e_0 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_0_then_e_1])).
% 9.62/2.00 thf(zip_derived_cl1477, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_1)) <= (( (cycle @ e_4 @ e_2)))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl1468, zip_derived_cl0])).
% 9.62/2.00 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 9.62/2.00 thf('60', plain, (~ ( (cycle @ e_4 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1477, zip_derived_cl36])).
% 9.62/2.00 thf(zip_derived_cl22, plain, ( (cycle @ e_5 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle3])).
% 9.62/2.00 thf(zip_derived_cl235, plain,
% 9.62/2.00 (( (cycle @ e_4 @ e_3)) <= (( (cycle @ e_4 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.00 thf(zip_derived_cl23, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ X1)
% 9.62/2.00 | ~ (cycle @ X2 @ X3)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | ~ (greater @ X1 @ e_0)
% 9.62/2.00 | ~ (next @ X3 @ X4)
% 9.62/2.00 | (equalish @ X1 @ X4))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle4])).
% 9.62/2.00 thf(zip_derived_cl262, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_4 @ X1)
% 9.62/2.00 | ~ (greater @ e_3 @ e_0)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_3 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl23])).
% 9.62/2.00 thf(e_3_greater_e_0, axiom, (greater @ e_3 @ e_0)).
% 9.62/2.00 thf(zip_derived_cl7, plain, ( (greater @ e_3 @ e_0)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 9.62/2.00 thf(zip_derived_cl265, plain,
% 9.62/2.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.00 (~ (cycle @ X1 @ X0)
% 9.62/2.00 | ~ (next @ e_4 @ X1)
% 9.62/2.00 | ~ (next @ X0 @ X2)
% 9.62/2.00 | (equalish @ e_3 @ X2)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_3)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl7])).
% 9.62/2.00 thf(zip_derived_cl1400, plain,
% 9.62/2.00 ((![X0 : $i]:
% 9.62/2.00 (~ (next @ e_4 @ e_5) | ~ (next @ e_0 @ X0) | (equalish @ e_3 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl265])).
% 9.62/2.00 thf(zip_derived_cl4, plain, ( (next @ e_4 @ e_5)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_4_then_e_5])).
% 9.62/2.00 thf(zip_derived_cl1401, plain,
% 9.62/2.00 ((![X0 : $i]: (~ (next @ e_0 @ X0) | (equalish @ e_3 @ X0)))
% 9.62/2.00 <= (( (cycle @ e_4 @ e_3)))),
% 9.62/2.00 inference('demod', [status(thm)], [zip_derived_cl1400, zip_derived_cl4])).
% 9.62/2.00 thf(zip_derived_cl0, plain, ( (next @ e_0 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_0_then_e_1])).
% 9.62/2.00 thf(zip_derived_cl1410, plain,
% 9.62/2.00 (( (equalish @ e_3 @ e_1)) <= (( (cycle @ e_4 @ e_3)))),
% 9.62/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl1401, zip_derived_cl0])).
% 9.62/2.00 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 9.62/2.00 thf('61', plain, (~ ( (cycle @ e_4 @ e_3))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1410, zip_derived_cl40])).
% 9.62/2.00 thf(zip_derived_cl1721, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.00 thf(zip_derived_cl79, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.00 thf(zip_derived_cl3065, plain,
% 9.62/2.00 (( (equalish @ e_2 @ e_1)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1721, zip_derived_cl79])).
% 9.62/2.00 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_1)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 9.62/2.00 thf('62', plain, (~ ( (product @ e_2 @ e_1 @ e_2))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3065, zip_derived_cl36])).
% 9.62/2.00 thf(zip_derived_cl1722, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_1)) <= (( (product @ e_2 @ e_1 @ e_1)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.00 thf(zip_derived_cl83, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.00 thf(zip_derived_cl3089, plain,
% 9.62/2.00 (( (equalish @ e_1 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_1)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1722, zip_derived_cl83])).
% 9.62/2.00 thf(zip_derived_cl32, plain, (~ (equalish @ e_1 @ e_2)),
% 9.62/2.00 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 9.62/2.00 thf('63', plain, (~ ( (product @ e_2 @ e_1 @ e_1))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl3089, zip_derived_cl32])).
% 9.62/2.00 thf(zip_derived_cl1720, plain,
% 9.62/2.00 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.00 thf(zip_derived_cl25, plain,
% 9.62/2.00 (![X0 : $i, X1 : $i]:
% 9.62/2.00 (~ (cycle @ X0 @ e_0)
% 9.62/2.00 | ~ (product @ X0 @ e_1 @ X1)
% 9.62/2.00 | ~ (greater @ X1 @ X0))),
% 9.62/2.00 inference('cnf', [status(esa)], [cycle6])).
% 9.62/2.00 thf(zip_derived_cl3010, plain,
% 9.62/2.00 (((~ (cycle @ e_2 @ e_0) | ~ (greater @ e_3 @ e_2)))
% 9.62/2.00 <= (( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.00 inference('s_sup-', [status(thm)], [zip_derived_cl1720, zip_derived_cl25])).
% 9.62/2.01 thf(e_3_greater_e_2, axiom, (greater @ e_3 @ e_2)).
% 9.62/2.01 thf(zip_derived_cl14, plain, ( (greater @ e_3 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_3_greater_e_2])).
% 9.62/2.01 thf(zip_derived_cl3019, plain,
% 9.62/2.01 ((~ (cycle @ e_2 @ e_0)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl3010, zip_derived_cl14])).
% 9.62/2.01 thf(zip_derived_cl175, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_0)) <= (( (cycle @ e_2 @ e_0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf('64', plain,
% 9.62/2.01 (~ ( (cycle @ e_2 @ e_0)) | ~ ( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.01 inference('s_sup+', [status(thm)],
% 9.62/2.01 [zip_derived_cl3019, zip_derived_cl175])).
% 9.62/2.01 thf(zip_derived_cl1812, plain,
% 9.62/2.01 (( (product @ e_2 @ e_1 @ e_4)) <= (( (product @ e_2 @ e_1 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl334])).
% 9.62/2.01 thf(zip_derived_cl25, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0)
% 9.62/2.01 | ~ (product @ X0 @ e_1 @ X1)
% 9.62/2.01 | ~ (greater @ X1 @ X0))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle6])).
% 9.62/2.01 thf(zip_derived_cl1820, plain,
% 9.62/2.01 (((~ (cycle @ e_2 @ e_0) | ~ (greater @ e_4 @ e_2)))
% 9.62/2.01 <= (( (product @ e_2 @ e_1 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1812, zip_derived_cl25])).
% 9.62/2.01 thf(e_4_greater_e_2, axiom, (greater @ e_4 @ e_2)).
% 9.62/2.01 thf(zip_derived_cl15, plain, ( (greater @ e_4 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_greater_e_2])).
% 9.62/2.01 thf(zip_derived_cl1825, plain,
% 9.62/2.01 ((~ (cycle @ e_2 @ e_0)) <= (( (product @ e_2 @ e_1 @ e_4)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl1820, zip_derived_cl15])).
% 9.62/2.01 thf(zip_derived_cl175, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_0)) <= (( (cycle @ e_2 @ e_0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf('65', plain,
% 9.62/2.01 (~ ( (product @ e_2 @ e_1 @ e_4)) | ~ ( (cycle @ e_2 @ e_0))),
% 9.62/2.01 inference('s_sup+', [status(thm)],
% 9.62/2.01 [zip_derived_cl1825, zip_derived_cl175])).
% 9.62/2.01 thf(zip_derived_cl1718, plain,
% 9.62/2.01 (( (product @ e_2 @ e_1 @ e_5)) <= (( (product @ e_2 @ e_1 @ e_5)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.01 thf(zip_derived_cl25, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0)
% 9.62/2.01 | ~ (product @ X0 @ e_1 @ X1)
% 9.62/2.01 | ~ (greater @ X1 @ X0))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle6])).
% 9.62/2.01 thf(zip_derived_cl1727, plain,
% 9.62/2.01 (((~ (cycle @ e_2 @ e_0) | ~ (greater @ e_5 @ e_2)))
% 9.62/2.01 <= (( (product @ e_2 @ e_1 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1718, zip_derived_cl25])).
% 9.62/2.01 thf(e_5_greater_e_2, axiom, (greater @ e_5 @ e_2)).
% 9.62/2.01 thf(zip_derived_cl16, plain, ( (greater @ e_5 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_5_greater_e_2])).
% 9.62/2.01 thf(zip_derived_cl1732, plain,
% 9.62/2.01 ((~ (cycle @ e_2 @ e_0)) <= (( (product @ e_2 @ e_1 @ e_5)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl1727, zip_derived_cl16])).
% 9.62/2.01 thf(zip_derived_cl175, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_0)) <= (( (cycle @ e_2 @ e_0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf('66', plain,
% 9.62/2.01 (~ ( (cycle @ e_2 @ e_0)) | ~ ( (product @ e_2 @ e_1 @ e_5))),
% 9.62/2.01 inference('s_sup+', [status(thm)],
% 9.62/2.01 [zip_derived_cl1732, zip_derived_cl175])).
% 9.62/2.01 thf('67', plain,
% 9.62/2.01 (( (product @ e_2 @ e_1 @ e_5)) | ( (product @ e_2 @ e_1 @ e_4)) |
% 9.62/2.01 ( (product @ e_2 @ e_1 @ e_2)) | ( (product @ e_2 @ e_1 @ e_1)) |
% 9.62/2.01 ( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.01 thf(zip_derived_cl4, plain, ( (next @ e_4 @ e_5)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_then_e_5])).
% 9.62/2.01 thf(zip_derived_cl22, plain, ( (cycle @ e_5 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle3])).
% 9.62/2.01 thf(zip_derived_cl174, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_1)) <= (( (cycle @ e_2 @ e_1)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf(zip_derived_cl24, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ X1)
% 9.62/2.01 | ~ (cycle @ X2 @ e_0)
% 9.62/2.01 | ~ (cycle @ X3 @ X4)
% 9.62/2.01 | ~ (next @ X2 @ X3)
% 9.62/2.01 | ~ (greater @ X2 @ X0)
% 9.62/2.01 | ~ (greater @ X1 @ X4))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle5])).
% 9.62/2.01 thf(zip_derived_cl193, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0)
% 9.62/2.01 | ~ (cycle @ X2 @ X1)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | ~ (greater @ X0 @ e_2)
% 9.62/2.01 | ~ (greater @ e_1 @ X1)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl24])).
% 9.62/2.01 thf(zip_derived_cl841, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0)
% 9.62/2.01 | ~ (next @ X0 @ e_5)
% 9.62/2.01 | ~ (greater @ X0 @ e_2)
% 9.62/2.01 | ~ (greater @ e_1 @ e_0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl193])).
% 9.62/2.01 thf(zip_derived_cl5, plain, ( (greater @ e_1 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_greater_e_0])).
% 9.62/2.01 thf(zip_derived_cl849, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0) | ~ (next @ X0 @ e_5) | ~ (greater @ X0 @ e_2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_1)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl841, zip_derived_cl5])).
% 9.62/2.01 thf(zip_derived_cl859, plain,
% 9.62/2.01 (((~ (cycle @ e_4 @ e_0) | ~ (greater @ e_4 @ e_2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl849])).
% 9.62/2.01 thf(zip_derived_cl15, plain, ( (greater @ e_4 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_greater_e_2])).
% 9.62/2.01 thf(zip_derived_cl860, plain,
% 9.62/2.01 ((~ (cycle @ e_4 @ e_0)) <= (( (cycle @ e_2 @ e_1)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl859, zip_derived_cl15])).
% 9.62/2.01 thf(zip_derived_cl238, plain,
% 9.62/2.01 (( (cycle @ e_4 @ e_0)) <= (( (cycle @ e_4 @ e_0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.01 thf('68', plain, (~ ( (cycle @ e_4 @ e_0)) | ~ ( (cycle @ e_2 @ e_1))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl860, zip_derived_cl238])).
% 9.62/2.01 thf(zip_derived_cl4, plain, ( (next @ e_4 @ e_5)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_then_e_5])).
% 9.62/2.01 thf(zip_derived_cl22, plain, ( (cycle @ e_5 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle3])).
% 9.62/2.01 thf(zip_derived_cl173, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_2)) <= (( (cycle @ e_2 @ e_2)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf(zip_derived_cl24, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ X1)
% 9.62/2.01 | ~ (cycle @ X2 @ e_0)
% 9.62/2.01 | ~ (cycle @ X3 @ X4)
% 9.62/2.01 | ~ (next @ X2 @ X3)
% 9.62/2.01 | ~ (greater @ X2 @ X0)
% 9.62/2.01 | ~ (greater @ X1 @ X4))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle5])).
% 9.62/2.01 thf(zip_derived_cl188, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0)
% 9.62/2.01 | ~ (cycle @ X2 @ X1)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | ~ (greater @ X0 @ e_2)
% 9.62/2.01 | ~ (greater @ e_2 @ X1)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_2)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl24])).
% 9.62/2.01 thf(zip_derived_cl771, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0)
% 9.62/2.01 | ~ (next @ X0 @ e_5)
% 9.62/2.01 | ~ (greater @ X0 @ e_2)
% 9.62/2.01 | ~ (greater @ e_2 @ e_0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_2)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl188])).
% 9.62/2.01 thf(zip_derived_cl6, plain, ( (greater @ e_2 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_greater_e_0])).
% 9.62/2.01 thf(zip_derived_cl779, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0) | ~ (next @ X0 @ e_5) | ~ (greater @ X0 @ e_2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_2)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl771, zip_derived_cl6])).
% 9.62/2.01 thf(zip_derived_cl789, plain,
% 9.62/2.01 (((~ (cycle @ e_4 @ e_0) | ~ (greater @ e_4 @ e_2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_2)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl779])).
% 9.62/2.01 thf(zip_derived_cl15, plain, ( (greater @ e_4 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_greater_e_2])).
% 9.62/2.01 thf(zip_derived_cl790, plain,
% 9.62/2.01 ((~ (cycle @ e_4 @ e_0)) <= (( (cycle @ e_2 @ e_2)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl789, zip_derived_cl15])).
% 9.62/2.01 thf(zip_derived_cl238, plain,
% 9.62/2.01 (( (cycle @ e_4 @ e_0)) <= (( (cycle @ e_4 @ e_0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.01 thf('69', plain, (~ ( (cycle @ e_2 @ e_2)) | ~ ( (cycle @ e_4 @ e_0))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl790, zip_derived_cl238])).
% 9.62/2.01 thf(zip_derived_cl4, plain, ( (next @ e_4 @ e_5)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_then_e_5])).
% 9.62/2.01 thf(zip_derived_cl22, plain, ( (cycle @ e_5 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle3])).
% 9.62/2.01 thf(zip_derived_cl172, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_3)) <= (( (cycle @ e_2 @ e_3)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf(zip_derived_cl24, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ X1)
% 9.62/2.01 | ~ (cycle @ X2 @ e_0)
% 9.62/2.01 | ~ (cycle @ X3 @ X4)
% 9.62/2.01 | ~ (next @ X2 @ X3)
% 9.62/2.01 | ~ (greater @ X2 @ X0)
% 9.62/2.01 | ~ (greater @ X1 @ X4))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle5])).
% 9.62/2.01 thf(zip_derived_cl183, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0)
% 9.62/2.01 | ~ (cycle @ X2 @ X1)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | ~ (greater @ X0 @ e_2)
% 9.62/2.01 | ~ (greater @ e_3 @ X1)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl24])).
% 9.62/2.01 thf(zip_derived_cl701, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0)
% 9.62/2.01 | ~ (next @ X0 @ e_5)
% 9.62/2.01 | ~ (greater @ X0 @ e_2)
% 9.62/2.01 | ~ (greater @ e_3 @ e_0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl183])).
% 9.62/2.01 thf(zip_derived_cl7, plain, ( (greater @ e_3 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 9.62/2.01 thf(zip_derived_cl712, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0) | ~ (next @ X0 @ e_5) | ~ (greater @ X0 @ e_2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_3)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl701, zip_derived_cl7])).
% 9.62/2.01 thf(zip_derived_cl722, plain,
% 9.62/2.01 (((~ (cycle @ e_4 @ e_0) | ~ (greater @ e_4 @ e_2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl712])).
% 9.62/2.01 thf(zip_derived_cl15, plain, ( (greater @ e_4 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_greater_e_2])).
% 9.62/2.01 thf(zip_derived_cl723, plain,
% 9.62/2.01 ((~ (cycle @ e_4 @ e_0)) <= (( (cycle @ e_2 @ e_3)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl722, zip_derived_cl15])).
% 9.62/2.01 thf(zip_derived_cl238, plain,
% 9.62/2.01 (( (cycle @ e_4 @ e_0)) <= (( (cycle @ e_4 @ e_0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.01 thf('70', plain, (~ ( (cycle @ e_2 @ e_3)) | ~ ( (cycle @ e_4 @ e_0))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl238])).
% 9.62/2.01 thf(zip_derived_cl4, plain, ( (next @ e_4 @ e_5)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_then_e_5])).
% 9.62/2.01 thf(zip_derived_cl22, plain, ( (cycle @ e_5 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle3])).
% 9.62/2.01 thf(zip_derived_cl171, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_4)) <= (( (cycle @ e_2 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf(zip_derived_cl24, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ X1)
% 9.62/2.01 | ~ (cycle @ X2 @ e_0)
% 9.62/2.01 | ~ (cycle @ X3 @ X4)
% 9.62/2.01 | ~ (next @ X2 @ X3)
% 9.62/2.01 | ~ (greater @ X2 @ X0)
% 9.62/2.01 | ~ (greater @ X1 @ X4))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle5])).
% 9.62/2.01 thf(zip_derived_cl178, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0)
% 9.62/2.01 | ~ (cycle @ X2 @ X1)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | ~ (greater @ X0 @ e_2)
% 9.62/2.01 | ~ (greater @ e_4 @ X1)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl24])).
% 9.62/2.01 thf(zip_derived_cl577, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0)
% 9.62/2.01 | ~ (next @ X0 @ e_5)
% 9.62/2.01 | ~ (greater @ X0 @ e_2)
% 9.62/2.01 | ~ (greater @ e_4 @ e_0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl178])).
% 9.62/2.01 thf(zip_derived_cl8, plain, ( (greater @ e_4 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_greater_e_0])).
% 9.62/2.01 thf(zip_derived_cl591, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ e_0) | ~ (next @ X0 @ e_5) | ~ (greater @ X0 @ e_2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl577, zip_derived_cl8])).
% 9.62/2.01 thf(zip_derived_cl601, plain,
% 9.62/2.01 (((~ (cycle @ e_4 @ e_0) | ~ (greater @ e_4 @ e_2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl591])).
% 9.62/2.01 thf(zip_derived_cl15, plain, ( (greater @ e_4 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_greater_e_2])).
% 9.62/2.01 thf(zip_derived_cl602, plain,
% 9.62/2.01 ((~ (cycle @ e_4 @ e_0)) <= (( (cycle @ e_2 @ e_4)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl601, zip_derived_cl15])).
% 9.62/2.01 thf(zip_derived_cl238, plain,
% 9.62/2.01 (( (cycle @ e_4 @ e_0)) <= (( (cycle @ e_4 @ e_0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.01 thf('71', plain, (~ ( (cycle @ e_2 @ e_4)) | ~ ( (cycle @ e_4 @ e_0))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl602, zip_derived_cl238])).
% 9.62/2.01 thf('72', plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_1)) | ( (cycle @ e_2 @ e_2)) |
% 9.62/2.01 ( (cycle @ e_2 @ e_0)) | ( (cycle @ e_2 @ e_4)) | ( (cycle @ e_2 @ e_3))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf('73', plain,
% 9.62/2.01 (( (cycle @ e_4 @ e_1)) | ( (cycle @ e_4 @ e_0)) |
% 9.62/2.01 ( (cycle @ e_4 @ e_3)) | ( (cycle @ e_4 @ e_2)) | ( (cycle @ e_4 @ e_4))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.01 thf('74', plain, (( (cycle @ e_4 @ e_1))),
% 9.62/2.01 inference('sat_resolution*', [status(thm)],
% 9.62/2.01 ['59', '60', '61', '62', '63', '64', '65', '66', '67', '68',
% 9.62/2.01 '69', '70', '71', '72', '73'])).
% 9.62/2.01 thf(zip_derived_cl3563, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (next @ e_1 @ X0) | (equalish @ e_1 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_3 @ e_1)))),
% 9.62/2.01 inference('simpl_trail', [status(thm)], [zip_derived_cl1295, '74'])).
% 9.62/2.01 thf(zip_derived_cl1, plain, ( (next @ e_1 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_then_e_2])).
% 9.62/2.01 thf(zip_derived_cl3564, plain,
% 9.62/2.01 (( (equalish @ e_1 @ e_2)) <= (( (cycle @ e_3 @ e_1)))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl3563, zip_derived_cl1])).
% 9.62/2.01 thf(zip_derived_cl32, plain, (~ (equalish @ e_1 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 9.62/2.01 thf('75', plain, (~ ( (cycle @ e_3 @ e_1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl3564, zip_derived_cl32])).
% 9.62/2.01 thf('76', plain,
% 9.62/2.01 (~ ( (cycle @ e_2 @ e_0)) | ~ ( (product @ e_2 @ e_1 @ e_4))),
% 9.62/2.01 inference('s_sup+', [status(thm)],
% 9.62/2.01 [zip_derived_cl1825, zip_derived_cl175])).
% 9.62/2.01 thf('77', plain, (~ ( (cycle @ e_4 @ e_0)) | ~ ( (cycle @ e_2 @ e_3))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl238])).
% 9.62/2.01 thf('78', plain, (~ ( (cycle @ e_4 @ e_0)) | ~ ( (cycle @ e_2 @ e_4))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl602, zip_derived_cl238])).
% 9.62/2.01 thf(zip_derived_cl237, plain,
% 9.62/2.01 (( (cycle @ e_4 @ e_1)) <= (( (cycle @ e_4 @ e_1)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl75])).
% 9.62/2.01 thf(zip_derived_cl212, plain,
% 9.62/2.01 (( (cycle @ e_3 @ e_3)) <= (( (cycle @ e_3 @ e_3)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.01 thf(zip_derived_cl23, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ X1)
% 9.62/2.01 | ~ (cycle @ X2 @ X3)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | ~ (greater @ X1 @ e_0)
% 9.62/2.01 | ~ (next @ X3 @ X4)
% 9.62/2.01 | (equalish @ X1 @ X4))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle4])).
% 9.62/2.01 thf(zip_derived_cl223, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X1 @ X0)
% 9.62/2.01 | ~ (next @ e_3 @ X1)
% 9.62/2.01 | ~ (greater @ e_3 @ e_0)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | (equalish @ e_3 @ X2)))
% 9.62/2.01 <= (( (cycle @ e_3 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl212, zip_derived_cl23])).
% 9.62/2.01 thf(zip_derived_cl7, plain, ( (greater @ e_3 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 9.62/2.01 thf(zip_derived_cl226, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X1 @ X0)
% 9.62/2.01 | ~ (next @ e_3 @ X1)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | (equalish @ e_3 @ X2)))
% 9.62/2.01 <= (( (cycle @ e_3 @ e_3)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl223, zip_derived_cl7])).
% 9.62/2.01 thf(zip_derived_cl1070, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (next @ e_3 @ e_4) | ~ (next @ e_1 @ X0) | (equalish @ e_3 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_3 @ e_3)) & ( (cycle @ e_4 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl226])).
% 9.62/2.01 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 9.62/2.01 thf(zip_derived_cl1076, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (next @ e_1 @ X0) | (equalish @ e_3 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_3 @ e_3)) & ( (cycle @ e_4 @ e_1)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl1070, zip_derived_cl3])).
% 9.62/2.01 thf(zip_derived_cl1, plain, ( (next @ e_1 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_then_e_2])).
% 9.62/2.01 thf(zip_derived_cl1590, plain,
% 9.62/2.01 (( (equalish @ e_3 @ e_2))
% 9.62/2.01 <= (( (cycle @ e_3 @ e_3)) & ( (cycle @ e_4 @ e_1)))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl1076, zip_derived_cl1])).
% 9.62/2.01 thf(zip_derived_cl41, plain, (~ (equalish @ e_3 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 9.62/2.01 thf('79', plain, (~ ( (cycle @ e_3 @ e_3)) | ~ ( (cycle @ e_4 @ e_1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1590, zip_derived_cl41])).
% 9.62/2.01 thf(zip_derived_cl215, plain,
% 9.62/2.01 (( (cycle @ e_3 @ e_0)) <= (( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.01 thf(zip_derived_cl171, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_4)) <= (( (cycle @ e_2 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf(zip_derived_cl23, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ X1)
% 9.62/2.01 | ~ (cycle @ X2 @ X3)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | ~ (greater @ X1 @ e_0)
% 9.62/2.01 | ~ (next @ X3 @ X4)
% 9.62/2.01 | (equalish @ X1 @ X4))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle4])).
% 9.62/2.01 thf(zip_derived_cl177, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X1 @ X0)
% 9.62/2.01 | ~ (next @ e_2 @ X1)
% 9.62/2.01 | ~ (greater @ e_4 @ e_0)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | (equalish @ e_4 @ X2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl23])).
% 9.62/2.01 thf(zip_derived_cl8, plain, ( (greater @ e_4 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_greater_e_0])).
% 9.62/2.01 thf(zip_derived_cl180, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X1 @ X0)
% 9.62/2.01 | ~ (next @ e_2 @ X1)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | (equalish @ e_4 @ X2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl177, zip_derived_cl8])).
% 9.62/2.01 thf(zip_derived_cl657, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (next @ e_2 @ e_3) | ~ (next @ e_0 @ X0) | (equalish @ e_4 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)) & ( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl215, zip_derived_cl180])).
% 9.62/2.01 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.01 thf(zip_derived_cl668, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (next @ e_0 @ X0) | (equalish @ e_4 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)) & ( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl657, zip_derived_cl2])).
% 9.62/2.01 thf(zip_derived_cl0, plain, ( (next @ e_0 @ e_1)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_0_then_e_1])).
% 9.62/2.01 thf(zip_derived_cl1010, plain,
% 9.62/2.01 (( (equalish @ e_4 @ e_1))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)) & ( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl668, zip_derived_cl0])).
% 9.62/2.01 thf(zip_derived_cl44, plain, (~ (equalish @ e_4 @ e_1)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 9.62/2.01 thf('80', plain, (~ ( (cycle @ e_2 @ e_4)) | ~ ( (cycle @ e_3 @ e_0))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1010, zip_derived_cl44])).
% 9.62/2.01 thf(zip_derived_cl213, plain,
% 9.62/2.01 (( (cycle @ e_3 @ e_2)) <= (( (cycle @ e_3 @ e_2)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.01 thf(zip_derived_cl180, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X1 @ X0)
% 9.62/2.01 | ~ (next @ e_2 @ X1)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | (equalish @ e_4 @ X2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl177, zip_derived_cl8])).
% 9.62/2.01 thf(zip_derived_cl659, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (next @ e_2 @ e_3) | ~ (next @ e_2 @ X0) | (equalish @ e_4 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)) & ( (cycle @ e_3 @ e_2)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl180])).
% 9.62/2.01 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.01 thf(zip_derived_cl670, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (next @ e_2 @ X0) | (equalish @ e_4 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)) & ( (cycle @ e_3 @ e_2)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl659, zip_derived_cl2])).
% 9.62/2.01 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.01 thf(zip_derived_cl1056, plain,
% 9.62/2.01 (( (equalish @ e_4 @ e_3))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_4)) & ( (cycle @ e_3 @ e_2)))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl670, zip_derived_cl2])).
% 9.62/2.01 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 9.62/2.01 thf('81', plain, (~ ( (cycle @ e_2 @ e_4)) | ~ ( (cycle @ e_3 @ e_2))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1056, zip_derived_cl46])).
% 9.62/2.01 thf(zip_derived_cl215, plain,
% 9.62/2.01 (( (cycle @ e_3 @ e_0)) <= (( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.01 thf(zip_derived_cl172, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_3)) <= (( (cycle @ e_2 @ e_3)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf(zip_derived_cl23, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ X1)
% 9.62/2.01 | ~ (cycle @ X2 @ X3)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | ~ (greater @ X1 @ e_0)
% 9.62/2.01 | ~ (next @ X3 @ X4)
% 9.62/2.01 | (equalish @ X1 @ X4))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle4])).
% 9.62/2.01 thf(zip_derived_cl182, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X1 @ X0)
% 9.62/2.01 | ~ (next @ e_2 @ X1)
% 9.62/2.01 | ~ (greater @ e_3 @ e_0)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | (equalish @ e_3 @ X2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl23])).
% 9.62/2.01 thf(zip_derived_cl7, plain, ( (greater @ e_3 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 9.62/2.01 thf(zip_derived_cl185, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X1 @ X0)
% 9.62/2.01 | ~ (next @ e_2 @ X1)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | (equalish @ e_3 @ X2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_3)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl7])).
% 9.62/2.01 thf(zip_derived_cl733, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (next @ e_2 @ e_3) | ~ (next @ e_0 @ X0) | (equalish @ e_3 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_3)) & ( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl215, zip_derived_cl185])).
% 9.62/2.01 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.01 thf(zip_derived_cl744, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (next @ e_0 @ X0) | (equalish @ e_3 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_3)) & ( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl733, zip_derived_cl2])).
% 9.62/2.01 thf(zip_derived_cl0, plain, ( (next @ e_0 @ e_1)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_0_then_e_1])).
% 9.62/2.01 thf(zip_derived_cl1156, plain,
% 9.62/2.01 (( (equalish @ e_3 @ e_1))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_3)) & ( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl744, zip_derived_cl0])).
% 9.62/2.01 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_1)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 9.62/2.01 thf('82', plain, (~ ( (cycle @ e_3 @ e_0)) | ~ ( (cycle @ e_2 @ e_3))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1156, zip_derived_cl40])).
% 9.62/2.01 thf(zip_derived_cl215, plain,
% 9.62/2.01 (( (cycle @ e_3 @ e_0)) <= (( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.01 thf(zip_derived_cl190, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X1 @ X0)
% 9.62/2.01 | ~ (next @ e_2 @ X1)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | (equalish @ e_2 @ X2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_2)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl6])).
% 9.62/2.01 thf(zip_derived_cl799, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (next @ e_2 @ e_3) | ~ (next @ e_0 @ X0) | (equalish @ e_2 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_2)) & ( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl215, zip_derived_cl190])).
% 9.62/2.01 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.01 thf(zip_derived_cl810, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (next @ e_0 @ X0) | (equalish @ e_2 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_2)) & ( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl799, zip_derived_cl2])).
% 9.62/2.01 thf(zip_derived_cl0, plain, ( (next @ e_0 @ e_1)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_0_then_e_1])).
% 9.62/2.01 thf(zip_derived_cl1276, plain,
% 9.62/2.01 (( (equalish @ e_2 @ e_1))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_2)) & ( (cycle @ e_3 @ e_0)))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl810, zip_derived_cl0])).
% 9.62/2.01 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_1)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 9.62/2.01 thf('83', plain, (~ ( (cycle @ e_2 @ e_2)) | ~ ( (cycle @ e_3 @ e_0))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1276, zip_derived_cl36])).
% 9.62/2.01 thf('84', plain,
% 9.62/2.01 (( (cycle @ e_3 @ e_2)) | ( (cycle @ e_3 @ e_0)) |
% 9.62/2.01 ( (cycle @ e_3 @ e_4)) | ( (cycle @ e_3 @ e_1)) | ( (cycle @ e_3 @ e_3))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.01 thf(zip_derived_cl213, plain,
% 9.62/2.01 (( (cycle @ e_3 @ e_2)) <= (( (cycle @ e_3 @ e_2)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.01 thf(zip_derived_cl174, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_1)) <= (( (cycle @ e_2 @ e_1)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf(zip_derived_cl23, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ X1)
% 9.62/2.01 | ~ (cycle @ X2 @ X3)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | ~ (greater @ X1 @ e_0)
% 9.62/2.01 | ~ (next @ X3 @ X4)
% 9.62/2.01 | (equalish @ X1 @ X4))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle4])).
% 9.62/2.01 thf(zip_derived_cl192, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X1 @ X0)
% 9.62/2.01 | ~ (next @ e_2 @ X1)
% 9.62/2.01 | ~ (greater @ e_1 @ e_0)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | (equalish @ e_1 @ X2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl23])).
% 9.62/2.01 thf(zip_derived_cl5, plain, ( (greater @ e_1 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_greater_e_0])).
% 9.62/2.01 thf(zip_derived_cl195, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i, X2 : $i]:
% 9.62/2.01 (~ (cycle @ X1 @ X0)
% 9.62/2.01 | ~ (next @ e_2 @ X1)
% 9.62/2.01 | ~ (next @ X0 @ X2)
% 9.62/2.01 | (equalish @ e_1 @ X2)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_1)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl5])).
% 9.62/2.01 thf(zip_derived_cl870, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 (~ (next @ e_2 @ e_3) | ~ (next @ e_2 @ X0) | (equalish @ e_1 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_1)) & ( (cycle @ e_3 @ e_2)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl195])).
% 9.62/2.01 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.01 thf(zip_derived_cl881, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (next @ e_2 @ X0) | (equalish @ e_1 @ X0)))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_1)) & ( (cycle @ e_3 @ e_2)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl870, zip_derived_cl2])).
% 9.62/2.01 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 9.62/2.01 thf(zip_derived_cl1510, plain,
% 9.62/2.01 (( (equalish @ e_1 @ e_3))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_1)) & ( (cycle @ e_3 @ e_2)))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl881, zip_derived_cl2])).
% 9.62/2.01 thf(zip_derived_cl33, plain, (~ (equalish @ e_1 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 9.62/2.01 thf('85', plain, (~ ( (cycle @ e_2 @ e_1)) | ~ ( (cycle @ e_3 @ e_2))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1510, zip_derived_cl33])).
% 9.62/2.01 thf('86', plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_3)) | ( (cycle @ e_2 @ e_1)) |
% 9.62/2.01 ( (cycle @ e_2 @ e_0)) | ( (cycle @ e_2 @ e_4)) | ( (cycle @ e_2 @ e_2))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf(zip_derived_cl172, plain,
% 9.62/2.01 (( (cycle @ e_2 @ e_3)) <= (( (cycle @ e_2 @ e_3)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl73])).
% 9.62/2.01 thf(zip_derived_cl3741, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0)))
% 9.62/2.01 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl1728])).
% 9.62/2.01 thf(zip_derived_cl3751, plain,
% 9.62/2.01 ((~ (greater @ e_3 @ e_0))
% 9.62/2.01 <= (( (cycle @ e_2 @ e_3)) &
% 9.62/2.01 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl172, zip_derived_cl3741])).
% 9.62/2.01 thf(zip_derived_cl7, plain, ( (greater @ e_3 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 9.62/2.01 thf('87', plain,
% 9.62/2.01 (~ (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))) |
% 9.62/2.01 ~ ( (cycle @ e_2 @ e_3))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl3751, zip_derived_cl7])).
% 9.62/2.01 thf('88', plain,
% 9.62/2.01 (~ ( (product @ e_2 @ e_1 @ e_4)) |
% 9.62/2.01 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))) |
% 9.62/2.01 (![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl1821])).
% 9.62/2.01 thf('89', plain,
% 9.62/2.01 (( (product @ e_2 @ e_1 @ e_3)) | ( (product @ e_2 @ e_1 @ e_4)) |
% 9.62/2.01 ( (product @ e_2 @ e_1 @ e_2)) | ( (product @ e_2 @ e_1 @ e_1)) |
% 9.62/2.01 ( (product @ e_2 @ e_1 @ e_5))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl329])).
% 9.62/2.01 thf('90', plain, (( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.01 inference('sat_resolution*', [status(thm)],
% 9.62/2.01 ['41', '42', '43', '44', '45', '46', '47', '48', '49', '50',
% 9.62/2.01 '51', '52', '53', '54', '55', '56', '57', '58', '75', '59',
% 9.62/2.01 '60', '61', '62', '63', '64', '76', '66', '68', '69', '77',
% 9.62/2.01 '78', '73', '79', '80', '81', '82', '83', '84', '85', '86',
% 9.62/2.01 '87', '88', '89'])).
% 9.62/2.01 thf(zip_derived_cl3898, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 9.62/2.01 inference('simpl_trail', [status(thm)], [zip_derived_cl1720, '90'])).
% 9.62/2.01 thf(zip_derived_cl1794, plain,
% 9.62/2.01 (( (product @ e_2 @ e_5 @ e_3)) <= (( (product @ e_2 @ e_5 @ e_3)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl333])).
% 9.62/2.01 thf(zip_derived_cl54, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.01 | (equalish @ X1 @ X3))),
% 9.62/2.01 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.01 thf(zip_derived_cl3335, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_3) | (equalish @ e_5 @ X0)))
% 9.62/2.01 <= (( (product @ e_2 @ e_5 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1794, zip_derived_cl54])).
% 9.62/2.01 thf(zip_derived_cl4768, plain,
% 9.62/2.01 (( (equalish @ e_5 @ e_1)) <= (( (product @ e_2 @ e_5 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl3898, zip_derived_cl3335])).
% 9.62/2.01 thf(zip_derived_cl48, plain, (~ (equalish @ e_5 @ e_1)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_5_is_not_e_1])).
% 9.62/2.01 thf('91', plain, (~ ( (product @ e_2 @ e_5 @ e_3))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl4768, zip_derived_cl48])).
% 9.62/2.01 thf(zip_derived_cl1879, plain,
% 9.62/2.01 (( (product @ e_2 @ e_5 @ e_4)) <= (( (product @ e_2 @ e_5 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl338])).
% 9.62/2.01 thf(zip_derived_cl31, plain, ( (group_element @ e_5)),
% 9.62/2.01 inference('cnf', [status(esa)], [element_5])).
% 9.62/2.01 thf(zip_derived_cl113, plain,
% 9.62/2.01 (![X0 : $i]:
% 9.62/2.01 (~ (group_element @ X0)
% 9.62/2.01 | (product @ e_1 @ X0 @ e_1)
% 9.62/2.01 | (product @ e_1 @ X0 @ e_2)
% 9.62/2.01 | (product @ e_1 @ X0 @ e_3)
% 9.62/2.01 | (product @ e_1 @ X0 @ e_4)
% 9.62/2.01 | (product @ e_1 @ X0 @ e_5))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl52])).
% 9.62/2.01 thf(zip_derived_cl316, plain,
% 9.62/2.01 (( (product @ e_1 @ e_5 @ e_1)
% 9.62/2.01 | (product @ e_1 @ e_5 @ e_2)
% 9.62/2.01 | (product @ e_1 @ e_5 @ e_3)
% 9.62/2.01 | (product @ e_1 @ e_5 @ e_4)
% 9.62/2.01 | (product @ e_1 @ e_5 @ e_5))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl113])).
% 9.62/2.01 thf(zip_derived_cl1703, plain,
% 9.62/2.01 (( (product @ e_1 @ e_5 @ e_4)) <= (( (product @ e_1 @ e_5 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl316])).
% 9.62/2.01 thf(zip_derived_cl55, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.01 | (equalish @ X0 @ X3))),
% 9.62/2.01 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.01 thf(zip_derived_cl1709, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ X0 @ e_5 @ e_4) | (equalish @ e_1 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_5 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1703, zip_derived_cl55])).
% 9.62/2.01 thf(zip_derived_cl1943, plain,
% 9.62/2.01 (( (equalish @ e_1 @ e_2))
% 9.62/2.01 <= (( (product @ e_1 @ e_5 @ e_4)) & ( (product @ e_2 @ e_5 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl1879, zip_derived_cl1709])).
% 9.62/2.01 thf(zip_derived_cl32, plain, (~ (equalish @ e_1 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 9.62/2.01 thf('92', plain,
% 9.62/2.01 (~ ( (product @ e_1 @ e_5 @ e_4)) | ~ ( (product @ e_2 @ e_5 @ e_4))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1943, zip_derived_cl32])).
% 9.62/2.01 thf(zip_derived_cl1703, plain,
% 9.62/2.01 (( (product @ e_1 @ e_5 @ e_4)) <= (( (product @ e_1 @ e_5 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl316])).
% 9.62/2.01 thf(zip_derived_cl1576, plain,
% 9.62/2.01 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl308])).
% 9.62/2.01 thf(zip_derived_cl54, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.01 | (equalish @ X1 @ X3))),
% 9.62/2.01 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.01 thf(zip_derived_cl1640, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_4) | (equalish @ e_2 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1576, zip_derived_cl54])).
% 9.62/2.01 thf(zip_derived_cl1761, plain,
% 9.62/2.01 (( (equalish @ e_2 @ e_5))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_1 @ e_5 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl1703, zip_derived_cl1640])).
% 9.62/2.01 thf(zip_derived_cl39, plain, (~ (equalish @ e_2 @ e_5)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_is_not_e_5])).
% 9.62/2.01 thf('93', plain,
% 9.62/2.01 (~ ( (product @ e_1 @ e_5 @ e_4)) | ~ ( (product @ e_1 @ e_2 @ e_4))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1761, zip_derived_cl39])).
% 9.62/2.01 thf('94', plain,
% 9.62/2.01 (( (product @ e_3 @ e_4 @ e_2)) | ( (product @ e_3 @ e_4 @ e_5)) |
% 9.62/2.01 ( (product @ e_3 @ e_4 @ e_4)) | ( (product @ e_3 @ e_4 @ e_3)) |
% 9.62/2.01 ( (product @ e_3 @ e_4 @ e_1))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl355])).
% 9.62/2.01 thf(zip_derived_cl1629, plain,
% 9.62/2.01 (( (product @ e_1 @ e_5 @ e_1)) <= (( (product @ e_1 @ e_5 @ e_1)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl311])).
% 9.62/2.01 thf(zip_derived_cl79, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.01 thf(zip_derived_cl2971, plain,
% 9.62/2.01 (( (equalish @ e_1 @ e_5)) <= (( (product @ e_1 @ e_5 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1629, zip_derived_cl79])).
% 9.62/2.01 thf(zip_derived_cl35, plain, (~ (equalish @ e_1 @ e_5)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_is_not_e_5])).
% 9.62/2.01 thf('95', plain, (~ ( (product @ e_1 @ e_5 @ e_1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl2971, zip_derived_cl35])).
% 9.62/2.01 thf(zip_derived_cl1594, plain,
% 9.62/2.01 (( (product @ e_1 @ e_3 @ e_3)) <= (( (product @ e_1 @ e_3 @ e_3)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl309])).
% 9.62/2.01 thf(zip_derived_cl83, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i]:
% 9.62/2.01 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 9.62/2.01 thf(zip_derived_cl2742, plain,
% 9.62/2.01 (( (equalish @ e_3 @ e_1)) <= (( (product @ e_1 @ e_3 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1594, zip_derived_cl83])).
% 9.62/2.01 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_1)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 9.62/2.01 thf('96', plain, (~ ( (product @ e_1 @ e_3 @ e_3))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl2742, zip_derived_cl40])).
% 9.62/2.01 thf(zip_derived_cl213, plain,
% 9.62/2.01 (( (cycle @ e_3 @ e_2)) <= (( (cycle @ e_3 @ e_2)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl74])).
% 9.62/2.01 thf('97', plain, (( (cycle @ e_3 @ e_2))),
% 9.62/2.01 inference('sat_resolution*', [status(thm)],
% 9.62/2.01 ['88', '42', '43', '44', '45', '46', '47', '48', '49', '50',
% 9.62/2.01 '51', '52', '53', '54', '55', '56', '57', '58', '75', '59',
% 9.62/2.01 '60', '61', '62', '63', '64', '76', '66', '68', '69', '77',
% 9.62/2.01 '78', '73', '79', '80', '81', '82', '83', '86', '89', '84'])).
% 9.62/2.01 thf(zip_derived_cl3883, plain, ( (cycle @ e_3 @ e_2)),
% 9.62/2.01 inference('simpl_trail', [status(thm)], [zip_derived_cl213, '97'])).
% 9.62/2.01 thf(zip_derived_cl1897, plain,
% 9.62/2.01 (( (product @ e_3 @ e_1 @ e_5)) <= (( (product @ e_3 @ e_1 @ e_5)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl352])).
% 9.62/2.01 thf(zip_derived_cl26, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 (~ (cycle @ X0 @ X1)
% 9.62/2.01 | ~ (product @ X0 @ e_1 @ X2)
% 9.62/2.01 | ~ (greater @ X1 @ e_0)
% 9.62/2.01 | ~ (next @ X0 @ X3)
% 9.62/2.01 | (equalish @ X2 @ X3))),
% 9.62/2.01 inference('cnf', [status(esa)], [cycle7])).
% 9.62/2.01 thf(zip_derived_cl1907, plain,
% 9.62/2.01 ((![X0 : $i, X1 : $i]:
% 9.62/2.01 (~ (cycle @ e_3 @ X0)
% 9.62/2.01 | ~ (greater @ X0 @ e_0)
% 9.62/2.01 | ~ (next @ e_3 @ X1)
% 9.62/2.01 | (equalish @ e_5 @ X1)))
% 9.62/2.01 <= (( (product @ e_3 @ e_1 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1897, zip_derived_cl26])).
% 9.62/2.01 thf(zip_derived_cl4006, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0)))
% 9.62/2.01 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0))))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl1907])).
% 9.62/2.01 thf(zip_derived_cl4010, plain,
% 9.62/2.01 ((~ (greater @ e_2 @ e_0))
% 9.62/2.01 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0))))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl3883, zip_derived_cl4006])).
% 9.62/2.01 thf(zip_derived_cl6, plain, ( (greater @ e_2 @ e_0)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_greater_e_0])).
% 9.62/2.01 thf('98', plain,
% 9.62/2.01 (~ (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0)))),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl4010, zip_derived_cl6])).
% 9.62/2.01 thf(zip_derived_cl4005, plain,
% 9.62/2.01 ((![X1 : $i]: (~ (next @ e_3 @ X1) | (equalish @ e_5 @ X1)))
% 9.62/2.01 <= ((![X1 : $i]: (~ (next @ e_3 @ X1) | (equalish @ e_5 @ X1))))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl1907])).
% 9.62/2.01 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 9.62/2.01 thf(zip_derived_cl4007, plain,
% 9.62/2.01 (( (equalish @ e_5 @ e_4))
% 9.62/2.01 <= ((![X1 : $i]: (~ (next @ e_3 @ X1) | (equalish @ e_5 @ X1))))),
% 9.62/2.01 inference('s_sup+', [status(thm)], [zip_derived_cl4005, zip_derived_cl3])).
% 9.62/2.01 thf(zip_derived_cl51, plain, (~ (equalish @ e_5 @ e_4)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_5_is_not_e_4])).
% 9.62/2.01 thf('99', plain,
% 9.62/2.01 (~ (![X1 : $i]: (~ (next @ e_3 @ X1) | (equalish @ e_5 @ X1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl4007, zip_derived_cl51])).
% 9.62/2.01 thf('100', plain,
% 9.62/2.01 (~ ( (product @ e_3 @ e_1 @ e_5)) |
% 9.62/2.01 (![X1 : $i]: (~ (next @ e_3 @ X1) | (equalish @ e_5 @ X1))) |
% 9.62/2.01 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl1907])).
% 9.62/2.01 thf(zip_derived_cl1987, plain,
% 9.62/2.01 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl357])).
% 9.62/2.01 thf(zip_derived_cl29, plain, ( (group_element @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [element_3])).
% 9.62/2.01 thf(zip_derived_cl113, plain,
% 9.62/2.01 (![X0 : $i]:
% 9.62/2.01 (~ (group_element @ X0)
% 9.62/2.01 | (product @ e_1 @ X0 @ e_1)
% 9.62/2.01 | (product @ e_1 @ X0 @ e_2)
% 9.62/2.01 | (product @ e_1 @ X0 @ e_3)
% 9.62/2.01 | (product @ e_1 @ X0 @ e_4)
% 9.62/2.01 | (product @ e_1 @ X0 @ e_5))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl52])).
% 9.62/2.01 thf(zip_derived_cl314, plain,
% 9.62/2.01 (( (product @ e_1 @ e_3 @ e_1)
% 9.62/2.01 | (product @ e_1 @ e_3 @ e_2)
% 9.62/2.01 | (product @ e_1 @ e_3 @ e_3)
% 9.62/2.01 | (product @ e_1 @ e_3 @ e_4)
% 9.62/2.01 | (product @ e_1 @ e_3 @ e_5))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl113])).
% 9.62/2.01 thf(zip_derived_cl1667, plain,
% 9.62/2.01 (( (product @ e_1 @ e_3 @ e_4)) <= (( (product @ e_1 @ e_3 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl314])).
% 9.62/2.01 thf(zip_derived_cl57, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 ( (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X3 @ X2 @ X1)
% 9.62/2.01 | ~ (product @ X2 @ X3 @ X0))),
% 9.62/2.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.62/2.01 thf(zip_derived_cl1674, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 ( (product @ X0 @ e_4 @ e_3) | ~ (product @ e_3 @ e_1 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_3 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1667, zip_derived_cl57])).
% 9.62/2.01 thf(zip_derived_cl1998, plain,
% 9.62/2.01 (( (product @ e_4 @ e_4 @ e_3))
% 9.62/2.01 <= (( (product @ e_1 @ e_3 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl1987, zip_derived_cl1674])).
% 9.62/2.01 thf(zip_derived_cl68, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X0 @ X1) | (equalish @ X0 @ X1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl53])).
% 9.62/2.01 thf(zip_derived_cl2069, plain,
% 9.62/2.01 (( (equalish @ e_4 @ e_3))
% 9.62/2.01 <= (( (product @ e_1 @ e_3 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1998, zip_derived_cl68])).
% 9.62/2.01 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 9.62/2.01 thf('101', plain,
% 9.62/2.01 (~ ( (product @ e_1 @ e_3 @ e_4)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl2069, zip_derived_cl46])).
% 9.62/2.01 thf(zip_derived_cl1596, plain,
% 9.62/2.01 (( (product @ e_1 @ e_3 @ e_1)) <= (( (product @ e_1 @ e_3 @ e_1)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl309])).
% 9.62/2.01 thf(zip_derived_cl79, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl54])).
% 9.62/2.01 thf(zip_derived_cl2805, plain,
% 9.62/2.01 (( (equalish @ e_1 @ e_3)) <= (( (product @ e_1 @ e_3 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1596, zip_derived_cl79])).
% 9.62/2.01 thf(zip_derived_cl33, plain, (~ (equalish @ e_1 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 9.62/2.01 thf('102', plain, (~ ( (product @ e_1 @ e_3 @ e_1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl2805, zip_derived_cl33])).
% 9.62/2.01 thf(zip_derived_cl3012, plain,
% 9.62/2.01 (( (product @ e_3 @ e_5 @ e_2))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl1720, zip_derived_cl1583])).
% 9.62/2.01 thf(zip_derived_cl1628, plain,
% 9.62/2.01 (( (product @ e_1 @ e_5 @ e_2)) <= (( (product @ e_1 @ e_5 @ e_2)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl311])).
% 9.62/2.01 thf(zip_derived_cl55, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.01 | (equalish @ X0 @ X3))),
% 9.62/2.01 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.01 thf(zip_derived_cl2931, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ X0 @ e_5 @ e_2) | (equalish @ e_1 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_5 @ e_2)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1628, zip_derived_cl55])).
% 9.62/2.01 thf(zip_derived_cl3051, plain,
% 9.62/2.01 (( (equalish @ e_1 @ e_3))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 9.62/2.01 ( (product @ e_1 @ e_5 @ e_2)) &
% 9.62/2.01 ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl3012, zip_derived_cl2931])).
% 9.62/2.01 thf(zip_derived_cl33, plain, (~ (equalish @ e_1 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 9.62/2.01 thf('103', plain,
% 9.62/2.01 (~ ( (product @ e_1 @ e_2 @ e_5)) | ~ ( (product @ e_1 @ e_5 @ e_2)) |
% 9.62/2.01 ~ ( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl3051, zip_derived_cl33])).
% 9.62/2.01 thf('104', plain,
% 9.62/2.01 (~ ( (product @ e_3 @ e_1 @ e_2)) | ~ ( (product @ e_1 @ e_2 @ e_5)) |
% 9.62/2.01 ~ ( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl3491, zip_derived_cl48])).
% 9.62/2.01 thf('105', plain,
% 9.62/2.01 (~ ( (cycle @ e_3 @ e_0)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 9.62/2.01 inference('s_sup+', [status(thm)],
% 9.62/2.01 [zip_derived_cl1999, zip_derived_cl215])).
% 9.62/2.01 thf('106', plain,
% 9.62/2.01 (( (product @ e_3 @ e_1 @ e_4)) | ( (product @ e_3 @ e_1 @ e_5)) |
% 9.62/2.01 ( (product @ e_3 @ e_1 @ e_3)) | ( (product @ e_3 @ e_1 @ e_1)) |
% 9.62/2.01 ( (product @ e_3 @ e_1 @ e_2))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl352])).
% 9.62/2.01 thf(zip_derived_cl1608, plain,
% 9.62/2.01 (( (product @ e_1 @ e_4 @ e_5)) <= (( (product @ e_1 @ e_4 @ e_5)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl310])).
% 9.62/2.01 thf(zip_derived_cl1575, plain,
% 9.62/2.01 (( (product @ e_1 @ e_2 @ e_5)) <= (( (product @ e_1 @ e_2 @ e_5)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl308])).
% 9.62/2.01 thf(zip_derived_cl54, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.01 | (equalish @ X1 @ X3))),
% 9.62/2.01 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.01 thf(zip_derived_cl1581, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_5) | (equalish @ e_2 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1575, zip_derived_cl54])).
% 9.62/2.01 thf(zip_derived_cl1617, plain,
% 9.62/2.01 (( (equalish @ e_2 @ e_4))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_1 @ e_4 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl1608, zip_derived_cl1581])).
% 9.62/2.01 thf(zip_derived_cl38, plain, (~ (equalish @ e_2 @ e_4)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 9.62/2.01 thf('107', plain,
% 9.62/2.01 (~ ( (product @ e_1 @ e_4 @ e_5)) | ~ ( (product @ e_1 @ e_2 @ e_5))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1617, zip_derived_cl38])).
% 9.62/2.01 thf(zip_derived_cl1592, plain,
% 9.62/2.01 (( (product @ e_1 @ e_3 @ e_5)) <= (( (product @ e_1 @ e_3 @ e_5)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl309])).
% 9.62/2.01 thf(zip_derived_cl1581, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_5) | (equalish @ e_2 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1575, zip_derived_cl54])).
% 9.62/2.01 thf(zip_derived_cl1605, plain,
% 9.62/2.01 (( (equalish @ e_2 @ e_3))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_1 @ e_3 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl1592, zip_derived_cl1581])).
% 9.62/2.01 thf(zip_derived_cl37, plain, (~ (equalish @ e_2 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 9.62/2.01 thf('108', plain,
% 9.62/2.01 (~ ( (product @ e_1 @ e_2 @ e_5)) | ~ ( (product @ e_1 @ e_3 @ e_5))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1605, zip_derived_cl37])).
% 9.62/2.01 thf('109', plain,
% 9.62/2.01 (( (product @ e_1 @ e_4 @ e_3)) | ( (product @ e_1 @ e_4 @ e_5)) |
% 9.62/2.01 ( (product @ e_1 @ e_4 @ e_4)) | ( (product @ e_1 @ e_4 @ e_1)) |
% 9.62/2.01 ( (product @ e_1 @ e_4 @ e_2))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl310])).
% 9.62/2.01 thf(zip_derived_cl3102, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_2) | (equalish @ e_4 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl3013, zip_derived_cl54])).
% 9.62/2.01 thf('110', plain, (( (product @ e_2 @ e_1 @ e_3))),
% 9.62/2.01 inference('sat_resolution*', [status(thm)],
% 9.62/2.01 ['41', '42', '43', '44', '45', '46', '47', '48', '49', '50',
% 9.62/2.01 '51', '52', '53', '54', '55', '56', '57', '58', '75', '59',
% 9.62/2.01 '60', '61', '62', '63', '64', '76', '66', '68', '69', '77',
% 9.62/2.01 '78', '73', '79', '80', '81', '82', '83', '84', '85', '86',
% 9.62/2.01 '87', '88', '89'])).
% 9.62/2.01 thf(zip_derived_cl3912, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_2) | (equalish @ e_4 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 9.62/2.01 inference('simpl_trail', [status(thm)], [zip_derived_cl3102, '110'])).
% 9.62/2.01 thf(zip_derived_cl1969, plain,
% 9.62/2.01 (( (product @ e_3 @ e_5 @ e_2)) <= (( (product @ e_3 @ e_5 @ e_2)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl356])).
% 9.62/2.01 thf(zip_derived_cl3962, plain,
% 9.62/2.01 (( (equalish @ e_4 @ e_5))
% 9.62/2.01 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_3 @ e_5 @ e_2)))),
% 9.62/2.01 inference('s_sup+', [status(thm)],
% 9.62/2.01 [zip_derived_cl3912, zip_derived_cl1969])).
% 9.62/2.01 thf(zip_derived_cl47, plain, (~ (equalish @ e_4 @ e_5)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 9.62/2.01 thf('111', plain,
% 9.62/2.01 (~ ( (product @ e_3 @ e_5 @ e_2)) | ~ ( (product @ e_1 @ e_2 @ e_4))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl3962, zip_derived_cl47])).
% 9.62/2.01 thf('112', plain,
% 9.62/2.01 (( (product @ e_3 @ e_5 @ e_1)) | ( (product @ e_3 @ e_5 @ e_2)) |
% 9.62/2.01 ( (product @ e_3 @ e_5 @ e_5)) | ( (product @ e_3 @ e_5 @ e_3)) |
% 9.62/2.01 ( (product @ e_3 @ e_5 @ e_4))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl356])).
% 9.62/2.01 thf(zip_derived_cl1970, plain,
% 9.62/2.01 (( (product @ e_3 @ e_5 @ e_1)) <= (( (product @ e_3 @ e_5 @ e_1)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl356])).
% 9.62/2.01 thf(zip_derived_cl3599, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_1) | (equalish @ e_2 @ X0)))
% 9.62/2.01 <= (( (product @ e_3 @ e_2 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1927, zip_derived_cl54])).
% 9.62/2.01 thf(zip_derived_cl3929, plain,
% 9.62/2.01 (( (equalish @ e_2 @ e_5))
% 9.62/2.01 <= (( (product @ e_3 @ e_2 @ e_1)) & ( (product @ e_3 @ e_5 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl1970, zip_derived_cl3599])).
% 9.62/2.01 thf(zip_derived_cl39, plain, (~ (equalish @ e_2 @ e_5)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_is_not_e_5])).
% 9.62/2.01 thf('113', plain,
% 9.62/2.01 (~ ( (product @ e_3 @ e_2 @ e_1)) | ~ ( (product @ e_3 @ e_5 @ e_1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl3929, zip_derived_cl39])).
% 9.62/2.01 thf('114', plain,
% 9.62/2.01 (( (product @ e_3 @ e_2 @ e_5)) | ( (product @ e_3 @ e_2 @ e_1)) |
% 9.62/2.01 ( (product @ e_3 @ e_2 @ e_3)) | ( (product @ e_3 @ e_2 @ e_2)) |
% 9.62/2.01 ( (product @ e_3 @ e_2 @ e_4))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl353])).
% 9.62/2.01 thf(zip_derived_cl1923, plain,
% 9.62/2.01 (( (product @ e_3 @ e_2 @ e_5)) <= (( (product @ e_3 @ e_2 @ e_5)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl353])).
% 9.62/2.01 thf(zip_derived_cl1748, plain,
% 9.62/2.01 (( (product @ e_2 @ e_3 @ e_5)) <= (( (product @ e_2 @ e_3 @ e_5)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl331])).
% 9.62/2.01 thf(zip_derived_cl57, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 ( (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X3 @ X2 @ X1)
% 9.62/2.01 | ~ (product @ X2 @ X3 @ X0))),
% 9.62/2.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.62/2.01 thf(zip_derived_cl1756, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 ( (product @ X0 @ e_5 @ e_3) | ~ (product @ e_3 @ e_2 @ X0)))
% 9.62/2.01 <= (( (product @ e_2 @ e_3 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1748, zip_derived_cl57])).
% 9.62/2.01 thf(zip_derived_cl3769, plain,
% 9.62/2.01 (( (product @ e_5 @ e_5 @ e_3))
% 9.62/2.01 <= (( (product @ e_2 @ e_3 @ e_5)) & ( (product @ e_3 @ e_2 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl1923, zip_derived_cl1756])).
% 9.62/2.01 thf(zip_derived_cl68, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X0 @ X1) | (equalish @ X0 @ X1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl53])).
% 9.62/2.01 thf(zip_derived_cl4680, plain,
% 9.62/2.01 (( (equalish @ e_5 @ e_3))
% 9.62/2.01 <= (( (product @ e_2 @ e_3 @ e_5)) & ( (product @ e_3 @ e_2 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl3769, zip_derived_cl68])).
% 9.62/2.01 thf(zip_derived_cl50, plain, (~ (equalish @ e_5 @ e_3)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_5_is_not_e_3])).
% 9.62/2.01 thf('115', plain,
% 9.62/2.01 (~ ( (product @ e_2 @ e_3 @ e_5)) | ~ ( (product @ e_3 @ e_2 @ e_5))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl4680, zip_derived_cl50])).
% 9.62/2.01 thf('116', plain,
% 9.62/2.01 (( (product @ e_2 @ e_3 @ e_1)) | ( (product @ e_2 @ e_3 @ e_5)) |
% 9.62/2.01 ( (product @ e_2 @ e_3 @ e_3)) | ( (product @ e_2 @ e_3 @ e_2)) |
% 9.62/2.01 ( (product @ e_2 @ e_3 @ e_4))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl331])).
% 9.62/2.01 thf(zip_derived_cl2131, plain,
% 9.62/2.01 (( (product @ e_4 @ e_3 @ e_1)) <= (( (product @ e_4 @ e_3 @ e_1)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl386])).
% 9.62/2.01 thf(zip_derived_cl1752, plain,
% 9.62/2.01 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl331])).
% 9.62/2.01 thf(zip_derived_cl55, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.01 | (equalish @ X0 @ X3))),
% 9.62/2.01 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.01 thf(zip_derived_cl3225, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_1) | (equalish @ e_2 @ X0)))
% 9.62/2.01 <= (( (product @ e_2 @ e_3 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1752, zip_derived_cl55])).
% 9.62/2.01 thf(zip_derived_cl4227, plain,
% 9.62/2.01 (( (equalish @ e_2 @ e_4))
% 9.62/2.01 <= (( (product @ e_2 @ e_3 @ e_1)) & ( (product @ e_4 @ e_3 @ e_1)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl2131, zip_derived_cl3225])).
% 9.62/2.01 thf(zip_derived_cl38, plain, (~ (equalish @ e_2 @ e_4)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 9.62/2.01 thf('117', plain,
% 9.62/2.01 (~ ( (product @ e_4 @ e_3 @ e_1)) | ~ ( (product @ e_2 @ e_3 @ e_1))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl4227, zip_derived_cl38])).
% 9.62/2.01 thf('118', plain,
% 9.62/2.01 (( (product @ e_4 @ e_3 @ e_2)) | ( (product @ e_4 @ e_3 @ e_1)) |
% 9.62/2.01 ( (product @ e_4 @ e_3 @ e_4)) | ( (product @ e_4 @ e_3 @ e_3)) |
% 9.62/2.01 ( (product @ e_4 @ e_3 @ e_5))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl386])).
% 9.62/2.01 thf(zip_derived_cl2130, plain,
% 9.62/2.01 (( (product @ e_4 @ e_3 @ e_2)) <= (( (product @ e_4 @ e_3 @ e_2)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl386])).
% 9.62/2.01 thf(zip_derived_cl1595, plain,
% 9.62/2.01 (( (product @ e_1 @ e_3 @ e_2)) <= (( (product @ e_1 @ e_3 @ e_2)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl309])).
% 9.62/2.01 thf(zip_derived_cl55, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.01 | (equalish @ X0 @ X3))),
% 9.62/2.01 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.01 thf(zip_derived_cl2760, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_2) | (equalish @ e_1 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_3 @ e_2)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1595, zip_derived_cl55])).
% 9.62/2.01 thf(zip_derived_cl4207, plain,
% 9.62/2.01 (( (equalish @ e_1 @ e_4))
% 9.62/2.01 <= (( (product @ e_1 @ e_3 @ e_2)) & ( (product @ e_4 @ e_3 @ e_2)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl2130, zip_derived_cl2760])).
% 9.62/2.01 thf(zip_derived_cl34, plain, (~ (equalish @ e_1 @ e_4)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 9.62/2.01 thf('119', plain,
% 9.62/2.01 (~ ( (product @ e_1 @ e_3 @ e_2)) | ~ ( (product @ e_4 @ e_3 @ e_2))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl4207, zip_derived_cl34])).
% 9.62/2.01 thf('120', plain,
% 9.62/2.01 (( (product @ e_1 @ e_3 @ e_5)) | ( (product @ e_1 @ e_3 @ e_2)) |
% 9.62/2.01 ( (product @ e_1 @ e_3 @ e_3)) | ( (product @ e_1 @ e_3 @ e_4)) |
% 9.62/2.01 ( (product @ e_1 @ e_3 @ e_1))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl309])).
% 9.62/2.01 thf(zip_derived_cl2095, plain,
% 9.62/2.01 (( (product @ e_4 @ e_2 @ e_3)) <= (( (product @ e_4 @ e_2 @ e_3)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl385])).
% 9.62/2.01 thf(zip_derived_cl1987, plain,
% 9.62/2.01 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl357])).
% 9.62/2.01 thf(zip_derived_cl1592, plain,
% 9.62/2.01 (( (product @ e_1 @ e_3 @ e_5)) <= (( (product @ e_1 @ e_3 @ e_5)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl309])).
% 9.62/2.01 thf(zip_derived_cl57, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 ( (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X3 @ X2 @ X1)
% 9.62/2.01 | ~ (product @ X2 @ X3 @ X0))),
% 9.62/2.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.62/2.01 thf(zip_derived_cl1600, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 ( (product @ X0 @ e_5 @ e_3) | ~ (product @ e_3 @ e_1 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_3 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1592, zip_derived_cl57])).
% 9.62/2.01 thf(zip_derived_cl1997, plain,
% 9.62/2.01 (( (product @ e_4 @ e_5 @ e_3))
% 9.62/2.01 <= (( (product @ e_1 @ e_3 @ e_5)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl1987, zip_derived_cl1600])).
% 9.62/2.01 thf(zip_derived_cl54, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X0 @ X3 @ X2)
% 9.62/2.01 | (equalish @ X1 @ X3))),
% 9.62/2.01 inference('cnf', [status(esa)], [product_right_cancellation])).
% 9.62/2.01 thf(zip_derived_cl2042, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ e_4 @ X0 @ e_3) | (equalish @ e_5 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_3 @ e_5)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1997, zip_derived_cl54])).
% 9.62/2.01 thf('121', plain, (( (product @ e_3 @ e_1 @ e_4))),
% 9.62/2.01 inference('sat_resolution*', [status(thm)],
% 9.62/2.01 ['41', '42', '43', '44', '51', '105', '55', '57', '58', '75',
% 9.62/2.01 '59', '60', '61', '62', '63', '64', '76', '66', '68', '69',
% 9.62/2.01 '77', '78', '73', '79', '80', '81', '82', '83', '84', '85',
% 9.62/2.01 '86', '87', '88', '89', '45', '46', '47', '48', '49', '50',
% 9.62/2.01 '53', '52', '98', '99', '100', '106'])).
% 9.62/2.01 thf(zip_derived_cl4024, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ e_4 @ X0 @ e_3) | (equalish @ e_5 @ X0)))
% 9.62/2.01 <= (( (product @ e_1 @ e_3 @ e_5)))),
% 9.62/2.01 inference('simpl_trail', [status(thm)], [zip_derived_cl2042, '121'])).
% 9.62/2.01 thf(zip_derived_cl4117, plain,
% 9.62/2.01 (( (equalish @ e_5 @ e_2))
% 9.62/2.01 <= (( (product @ e_1 @ e_3 @ e_5)) & ( (product @ e_4 @ e_2 @ e_3)))),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl2095, zip_derived_cl4024])).
% 9.62/2.01 thf(zip_derived_cl49, plain, (~ (equalish @ e_5 @ e_2)),
% 9.62/2.01 inference('cnf', [status(esa)], [e_5_is_not_e_2])).
% 9.62/2.01 thf('122', plain,
% 9.62/2.01 (~ ( (product @ e_4 @ e_2 @ e_3)) | ~ ( (product @ e_1 @ e_3 @ e_5))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl4117, zip_derived_cl49])).
% 9.62/2.01 thf('123', plain,
% 9.62/2.01 (( (product @ e_4 @ e_2 @ e_1)) | ( (product @ e_4 @ e_2 @ e_3)) |
% 9.62/2.01 ( (product @ e_4 @ e_2 @ e_4)) | ( (product @ e_4 @ e_2 @ e_2)) |
% 9.62/2.01 ( (product @ e_4 @ e_2 @ e_5))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl385])).
% 9.62/2.01 thf('124', plain, (( (product @ e_4 @ e_2 @ e_1))),
% 9.62/2.01 inference('sat_resolution*', [status(thm)],
% 9.62/2.01 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 9.62/2.01 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 9.62/2.01 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 9.62/2.01 '32', '33', '34', '35', '36', '37', '38', '39', '40', '91',
% 9.62/2.01 '92', '93', '94', '95', '96', '98', '99', '100', '101',
% 9.62/2.01 '102', '103', '41', '42', '43', '44', '45', '46', '47',
% 9.62/2.01 '104', '49', '51', '52', '53', '105', '55', '106', '57',
% 9.62/2.01 '58', '75', '59', '60', '61', '62', '63', '64', '76', '66',
% 9.62/2.01 '68', '69', '77', '78', '73', '79', '80', '81', '82', '83',
% 9.62/2.01 '84', '85', '86', '87', '88', '89', '107', '108', '109',
% 9.62/2.01 '50', '111', '112', '113', '114', '115', '116', '117', '118',
% 9.62/2.01 '119', '120', '122', '123'])).
% 9.62/2.01 thf(zip_derived_cl4821, plain, ( (product @ e_4 @ e_2 @ e_1)),
% 9.62/2.01 inference('simpl_trail', [status(thm)], [zip_derived_cl2097, '124'])).
% 9.62/2.01 thf(zip_derived_cl1766, plain,
% 9.62/2.01 (( (product @ e_2 @ e_4 @ e_5)) <= (( (product @ e_2 @ e_4 @ e_5)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl332])).
% 9.62/2.01 thf(zip_derived_cl57, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 ( (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X3 @ X2 @ X1)
% 9.62/2.01 | ~ (product @ X2 @ X3 @ X0))),
% 9.62/2.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.62/2.01 thf(zip_derived_cl1774, plain,
% 9.62/2.01 ((![X0 : $i]:
% 9.62/2.01 ( (product @ X0 @ e_5 @ e_4) | ~ (product @ e_4 @ e_2 @ X0)))
% 9.62/2.01 <= (( (product @ e_2 @ e_4 @ e_5)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1766, zip_derived_cl57])).
% 9.62/2.01 thf('125', plain, (( (product @ e_2 @ e_4 @ e_5))),
% 9.62/2.01 inference('sat_resolution*', [status(thm)],
% 9.62/2.01 ['11', '12', '13', '14', '15', '16', '17', '18', '19', '20',
% 9.62/2.01 '21', '22', '23', '24', '25', '26', '27', '29', '30', '31',
% 9.62/2.01 '32', '33', '34', '35', '36', '37', '38', '39', '40', '91',
% 9.62/2.01 '92', '93', '94', '95', '120', '96', '98', '99', '100',
% 9.62/2.01 '101', '102', '103', '41', '42', '43', '44', '45', '46',
% 9.62/2.01 '47', '104', '49', '51', '52', '53', '105', '55', '106',
% 9.62/2.01 '57', '58', '75', '59', '60', '61', '62', '63', '64', '76',
% 9.62/2.01 '66', '68', '69', '77', '78', '73', '79', '80', '81', '82',
% 9.62/2.01 '83', '84', '85', '86', '87', '88', '89', '107', '108',
% 9.62/2.01 '109', '50', '111', '112', '113', '114', '115', '116', '5',
% 9.62/2.01 '28'])).
% 9.62/2.01 thf(zip_derived_cl4803, plain,
% 9.62/2.01 (![X0 : $i]: ( (product @ X0 @ e_5 @ e_4) | ~ (product @ e_4 @ e_2 @ X0))),
% 9.62/2.01 inference('simpl_trail', [status(thm)], [zip_derived_cl1774, '125'])).
% 9.62/2.01 thf(zip_derived_cl5087, plain, ( (product @ e_1 @ e_5 @ e_4)),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl4821, zip_derived_cl4803])).
% 9.62/2.01 thf(zip_derived_cl1879, plain,
% 9.62/2.01 (( (product @ e_2 @ e_5 @ e_4)) <= (( (product @ e_2 @ e_5 @ e_4)))),
% 9.62/2.01 inference('split', [status(esa)], [zip_derived_cl338])).
% 9.62/2.01 thf(zip_derived_cl55, plain,
% 9.62/2.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.62/2.01 (~ (product @ X0 @ X1 @ X2)
% 9.62/2.01 | ~ (product @ X3 @ X1 @ X2)
% 9.62/2.01 | (equalish @ X0 @ X3))),
% 9.62/2.01 inference('cnf', [status(esa)], [product_left_cancellation])).
% 9.62/2.01 thf(zip_derived_cl1885, plain,
% 9.62/2.01 ((![X0 : $i]: (~ (product @ X0 @ e_5 @ e_4) | (equalish @ e_2 @ X0)))
% 9.62/2.01 <= (( (product @ e_2 @ e_5 @ e_4)))),
% 9.62/2.01 inference('s_sup-', [status(thm)], [zip_derived_cl1879, zip_derived_cl55])).
% 9.62/2.01 thf('126', plain, (( (product @ e_2 @ e_5 @ e_4))),
% 9.62/2.01 inference('sat_resolution*', [status(thm)],
% 9.62/2.01 ['15', '16', '17', '18', '19', '20', '21', '22', '23', '24',
% 9.62/2.01 '25', '26', '27', '28', '29', '30', '31', '114', '32', '33',
% 9.62/2.01 '34', '35', '36', '37', '39', '40', '91', '92', '93', '94',
% 9.62/2.01 '95', '120', '96', '98', '99', '100', '101', '102', '103',
% 9.62/2.01 '41', '42', '43', '44', '45', '46', '47', '104', '49', '51',
% 9.62/2.01 '52', '53', '105', '55', '106', '57', '58', '75', '59', '60',
% 9.62/2.01 '61', '62', '63', '64', '76', '66', '68', '69', '77', '78',
% 9.62/2.01 '73', '79', '80', '81', '82', '83', '84', '85', '86', '87',
% 9.62/2.01 '88', '89', '107', '108', '109', '50', '111', '112', '11',
% 9.62/2.01 '38'])).
% 9.62/2.01 thf(zip_derived_cl4807, plain,
% 9.62/2.01 (![X0 : $i]: (~ (product @ X0 @ e_5 @ e_4) | (equalish @ e_2 @ X0))),
% 9.62/2.01 inference('simpl_trail', [status(thm)], [zip_derived_cl1885, '126'])).
% 9.62/2.01 thf(zip_derived_cl5092, plain, ( (equalish @ e_2 @ e_1)),
% 9.62/2.01 inference('s_sup-', [status(thm)],
% 9.62/2.01 [zip_derived_cl5087, zip_derived_cl4807])).
% 9.62/2.01 thf(zip_derived_cl5094, plain, ($false),
% 9.62/2.01 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl5092])).
% 9.62/2.01
% 9.62/2.01 % SZS output end Refutation
% 9.62/2.01
% 9.62/2.01
% 9.62/2.01 % Terminating...
% 9.62/2.01 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 9.62/2.09 % Runner terminated.
% 9.62/2.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------