TSTP Solution File: GRP127-2.006 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP127-2.006 : TPTP v8.1.2. Released v1.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YgScbUXzJj true
% Computer : n017.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 Aug 31 01:50:10 EDT 2023
% Result : Unsatisfiable 30.88s 6.85s
% Output : Refutation 30.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP127-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YgScbUXzJj true
% 0.15/0.37 % Computer : n017.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 22:54:28 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % Running portfolio for 300 s
% 0.15/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.38 % Running in FO mode
% 0.23/0.71 % Total configuration time : 435
% 0.23/0.71 % Estimated wc time : 1092
% 0.23/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.90 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.19/1.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 30.88/6.85 % Solved by fo/fo1_av.sh.
% 30.88/6.85 % done 9369 iterations in 5.921s
% 30.88/6.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 30.88/6.85 % SZS output start Refutation
% 30.88/6.85 thf(e_5_type, type, e_5: $i).
% 30.88/6.85 thf(e_4_type, type, e_4: $i).
% 30.88/6.85 thf(product_type, type, product: $i > $i > $i > $o).
% 30.88/6.85 thf(e_6_type, type, e_6: $i).
% 30.88/6.85 thf(group_element_type, type, group_element: $i > $o).
% 30.88/6.85 thf(e_3_type, type, e_3: $i).
% 30.88/6.85 thf(greater_type, type, greater: $i > $i > $o).
% 30.88/6.85 thf(e_2_type, type, e_2: $i).
% 30.88/6.85 thf(e_1_type, type, e_1: $i).
% 30.88/6.85 thf(next_type, type, next: $i > $i > $o).
% 30.88/6.85 thf(equalish_type, type, equalish: $i > $i > $o).
% 30.88/6.85 thf(element_4, axiom, (group_element @ e_4)).
% 30.88/6.85 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_4])).
% 30.88/6.85 thf(product_total_function1, axiom,
% 30.88/6.85 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 30.88/6.85 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ) |
% 30.88/6.85 ( product @ X @ Y @ e_3 ) | ( product @ X @ Y @ e_4 ) |
% 30.88/6.85 ( product @ X @ Y @ e_5 ) | ( product @ X @ Y @ e_6 ))).
% 30.88/6.85 thf(zip_derived_cl57, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | ~ (group_element @ X1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_2)
% 30.88/6.85 | (product @ X0 @ X1 @ e_3)
% 30.88/6.85 | (product @ X0 @ X1 @ e_4)
% 30.88/6.85 | (product @ X0 @ X1 @ e_5)
% 30.88/6.85 | (product @ X0 @ X1 @ e_6))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_total_function1])).
% 30.88/6.85 thf(zip_derived_cl69, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl57])).
% 30.88/6.85 thf(element_1, axiom, (group_element @ e_1)).
% 30.88/6.85 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.85 thf(zip_derived_cl176, plain,
% 30.88/6.85 (( (product @ e_4 @ e_1 @ e_6)
% 30.88/6.85 | (product @ e_4 @ e_1 @ e_5)
% 30.88/6.85 | (product @ e_4 @ e_1 @ e_4)
% 30.88/6.85 | (product @ e_4 @ e_1 @ e_3)
% 30.88/6.85 | (product @ e_4 @ e_1 @ e_2)
% 30.88/6.85 | (product @ e_4 @ e_1 @ e_1))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl21])).
% 30.88/6.85 thf(zip_derived_cl1078, plain,
% 30.88/6.85 (( (product @ e_4 @ e_1 @ e_2)) <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl176])).
% 30.88/6.85 thf(product_left_cancellation, axiom,
% 30.88/6.85 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 30.88/6.85 ( equalish @ W @ Z ))).
% 30.88/6.85 thf(zip_derived_cl60, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.85 | (equalish @ X0 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.85 thf(zip_derived_cl5985, plain,
% 30.88/6.85 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_2) | (equalish @ e_4 @ X0)))
% 30.88/6.85 <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1078, zip_derived_cl60])).
% 30.88/6.85 thf(element_5, axiom, (group_element @ e_5)).
% 30.88/6.85 thf(zip_derived_cl25, plain, ( (group_element @ e_5)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_5])).
% 30.88/6.85 thf(zip_derived_cl57, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | ~ (group_element @ X1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_2)
% 30.88/6.85 | (product @ X0 @ X1 @ e_3)
% 30.88/6.85 | (product @ X0 @ X1 @ e_4)
% 30.88/6.85 | (product @ X0 @ X1 @ e_5)
% 30.88/6.85 | (product @ X0 @ X1 @ e_6))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_total_function1])).
% 30.88/6.85 thf(zip_derived_cl70, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.85 thf(zip_derived_cl218, plain,
% 30.88/6.85 (( (product @ e_5 @ e_1 @ e_6)
% 30.88/6.85 | (product @ e_5 @ e_1 @ e_5)
% 30.88/6.85 | (product @ e_5 @ e_1 @ e_4)
% 30.88/6.85 | (product @ e_5 @ e_1 @ e_3)
% 30.88/6.85 | (product @ e_5 @ e_1 @ e_2)
% 30.88/6.85 | (product @ e_5 @ e_1 @ e_1))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl21])).
% 30.88/6.85 thf(zip_derived_cl1376, plain,
% 30.88/6.85 (( (product @ e_5 @ e_1 @ e_6)) <= (( (product @ e_5 @ e_1 @ e_6)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl218])).
% 30.88/6.85 thf(qg3, conjecture,
% 30.88/6.85 (~( ( product @ Z2 @ Y @ X ) | ( ~( product @ Z1 @ Y @ Z2 ) ) |
% 30.88/6.85 ( ~( product @ Y @ X @ Z1 ) ) ))).
% 30.88/6.85 thf(zf_stmt_0, negated_conjecture,
% 30.88/6.85 (( product @ Z2 @ Y @ X ) | ( ~( product @ Z1 @ Y @ Z2 ) ) |
% 30.88/6.85 ( ~( product @ Y @ X @ Z1 ) )),
% 30.88/6.85 inference('cnf.neg', [status(esa)], [qg3])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl1385, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_6 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_5)))
% 30.88/6.85 <= (( (product @ e_5 @ e_1 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1376, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl7841, plain,
% 30.88/6.85 ((( (equalish @ e_4 @ e_6) | ~ (product @ e_1 @ e_2 @ e_5)))
% 30.88/6.85 <= (( (product @ e_4 @ e_1 @ e_2)) & ( (product @ e_5 @ e_1 @ e_6)))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl5985, zip_derived_cl1385])).
% 30.88/6.85 thf(e_4_is_not_e_6, axiom, (~( equalish @ e_4 @ e_6 ))).
% 30.88/6.85 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_6)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_4_is_not_e_6])).
% 30.88/6.85 thf(zip_derived_cl7851, plain,
% 30.88/6.85 ((~ (product @ e_1 @ e_2 @ e_5))
% 30.88/6.85 <= (( (product @ e_4 @ e_1 @ e_2)) & ( (product @ e_5 @ e_1 @ e_6)))),
% 30.88/6.85 inference('demod', [status(thm)], [zip_derived_cl7841, zip_derived_cl46])).
% 30.88/6.85 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.85 thf(zip_derived_cl57, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | ~ (group_element @ X1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_2)
% 30.88/6.85 | (product @ X0 @ X1 @ e_3)
% 30.88/6.85 | (product @ X0 @ X1 @ e_4)
% 30.88/6.85 | (product @ X0 @ X1 @ e_5)
% 30.88/6.85 | (product @ X0 @ X1 @ e_6))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_total_function1])).
% 30.88/6.85 thf(zip_derived_cl66, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl57])).
% 30.88/6.85 thf(element_2, axiom, (group_element @ e_2)).
% 30.88/6.85 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.85 thf(zip_derived_cl94, plain,
% 30.88/6.85 (( (product @ e_1 @ e_2 @ e_6)
% 30.88/6.85 | (product @ e_1 @ e_2 @ e_5)
% 30.88/6.85 | (product @ e_1 @ e_2 @ e_4)
% 30.88/6.85 | (product @ e_1 @ e_2 @ e_3)
% 30.88/6.85 | (product @ e_1 @ e_2 @ e_2)
% 30.88/6.85 | (product @ e_1 @ e_2 @ e_1))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl22])).
% 30.88/6.85 thf(zip_derived_cl108, plain,
% 30.88/6.85 (( (product @ e_1 @ e_2 @ e_5)) <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.85 thf('0', plain,
% 30.88/6.85 (~ ( (product @ e_4 @ e_1 @ e_2)) | ~ ( (product @ e_5 @ e_1 @ e_6)) |
% 30.88/6.85 ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl7851, zip_derived_cl108])).
% 30.88/6.85 thf('1', plain,
% 30.88/6.85 (( (product @ e_5 @ e_1 @ e_6)) | ( (product @ e_5 @ e_1 @ e_2)) |
% 30.88/6.85 ( (product @ e_5 @ e_1 @ e_5)) | ( (product @ e_5 @ e_1 @ e_3)) |
% 30.88/6.85 ( (product @ e_5 @ e_1 @ e_4)) | ( (product @ e_5 @ e_1 @ e_1))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl218])).
% 30.88/6.85 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.85 thf(zip_derived_cl70, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_5 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl224, plain,
% 30.88/6.85 (( (product @ e_5 @ e_1 @ e_1)
% 30.88/6.85 | (product @ e_5 @ e_1 @ e_2)
% 30.88/6.85 | (product @ e_5 @ e_1 @ e_3)
% 30.88/6.85 | (product @ e_5 @ e_1 @ e_4)
% 30.88/6.85 | (product @ e_5 @ e_1 @ e_5)
% 30.88/6.85 | (product @ e_5 @ e_1 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl70])).
% 30.88/6.85 thf(zip_derived_cl1505, plain,
% 30.88/6.85 (( (product @ e_5 @ e_1 @ e_5)) <= (( (product @ e_5 @ e_1 @ e_5)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl224])).
% 30.88/6.85 thf(product_idempotence, axiom, (product @ X @ X @ X)).
% 30.88/6.85 thf(zip_derived_cl61, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 30.88/6.85 inference('cnf', [status(esa)], [product_idempotence])).
% 30.88/6.85 thf(product_right_cancellation, axiom,
% 30.88/6.85 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 30.88/6.85 ( equalish @ W @ Z ))).
% 30.88/6.85 thf(zip_derived_cl59, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.85 | (equalish @ X1 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.85 thf(zip_derived_cl77, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.85 thf(zip_derived_cl1514, plain,
% 30.88/6.85 (( (equalish @ e_5 @ e_1)) <= (( (product @ e_5 @ e_1 @ e_5)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1505, zip_derived_cl77])).
% 30.88/6.85 thf(e_5_is_not_e_1, axiom, (~( equalish @ e_5 @ e_1 ))).
% 30.88/6.85 thf(zip_derived_cl47, plain, (~ (equalish @ e_5 @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_5_is_not_e_1])).
% 30.88/6.85 thf('2', plain, (~ ( (product @ e_5 @ e_1 @ e_5))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1514, zip_derived_cl47])).
% 30.88/6.85 thf(zip_derived_cl1379, plain,
% 30.88/6.85 (( (product @ e_5 @ e_1 @ e_3)) <= (( (product @ e_5 @ e_1 @ e_3)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl218])).
% 30.88/6.85 thf(zip_derived_cl60, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.85 | (equalish @ X0 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.85 thf(zip_derived_cl7670, plain,
% 30.88/6.85 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_3) | (equalish @ e_5 @ X0)))
% 30.88/6.85 <= (( (product @ e_5 @ e_1 @ e_3)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1379, zip_derived_cl60])).
% 30.88/6.85 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.85 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.85 thf(zip_derived_cl57, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | ~ (group_element @ X1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_2)
% 30.88/6.85 | (product @ X0 @ X1 @ e_3)
% 30.88/6.85 | (product @ X0 @ X1 @ e_4)
% 30.88/6.85 | (product @ X0 @ X1 @ e_5)
% 30.88/6.85 | (product @ X0 @ X1 @ e_6))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_total_function1])).
% 30.88/6.85 thf(zip_derived_cl67, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl127, plain,
% 30.88/6.85 (( (product @ e_2 @ e_1 @ e_1)
% 30.88/6.85 | (product @ e_2 @ e_1 @ e_2)
% 30.88/6.85 | (product @ e_2 @ e_1 @ e_3)
% 30.88/6.85 | (product @ e_2 @ e_1 @ e_4)
% 30.88/6.85 | (product @ e_2 @ e_1 @ e_5)
% 30.88/6.85 | (product @ e_2 @ e_1 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl67])).
% 30.88/6.85 thf(zip_derived_cl655, plain,
% 30.88/6.85 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl127])).
% 30.88/6.85 thf(zip_derived_cl67, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_2 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.85 thf(zip_derived_cl121, plain,
% 30.88/6.85 (( (product @ e_2 @ e_1 @ e_6)
% 30.88/6.85 | (product @ e_2 @ e_1 @ e_5)
% 30.88/6.85 | (product @ e_2 @ e_1 @ e_4)
% 30.88/6.85 | (product @ e_2 @ e_1 @ e_3)
% 30.88/6.85 | (product @ e_2 @ e_1 @ e_2)
% 30.88/6.85 | (product @ e_2 @ e_1 @ e_1))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl21])).
% 30.88/6.85 thf(zip_derived_cl538, plain,
% 30.88/6.85 (( (product @ e_2 @ e_1 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl121])).
% 30.88/6.85 thf(zip_derived_cl77, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.85 thf(zip_derived_cl3279, plain,
% 30.88/6.85 (( (equalish @ e_2 @ e_1)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl538, zip_derived_cl77])).
% 30.88/6.85 thf(e_2_is_not_e_1, axiom, (~( equalish @ e_2 @ e_1 ))).
% 30.88/6.85 thf(zip_derived_cl32, plain, (~ (equalish @ e_2 @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 30.88/6.85 thf('3', plain, (~ ( (product @ e_2 @ e_1 @ e_2))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl3279, zip_derived_cl32])).
% 30.88/6.85 thf(e_2_then_e_3, axiom, (next @ e_2 @ e_3)).
% 30.88/6.85 thf(zip_derived_cl1, plain, ( (next @ e_2 @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 30.88/6.85 thf(zip_derived_cl536, plain,
% 30.88/6.85 (( (product @ e_2 @ e_1 @ e_4)) <= (( (product @ e_2 @ e_1 @ e_4)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl121])).
% 30.88/6.85 thf(no_redundancy, axiom,
% 30.88/6.85 (( ~( product @ X @ e_1 @ Y ) ) | ( ~( next @ X @ X1 ) ) |
% 30.88/6.85 ( ~( greater @ Y @ X1 ) ))).
% 30.88/6.85 thf(zip_derived_cl20, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.88/6.85 (~ (product @ X0 @ e_1 @ X1)
% 30.88/6.85 | ~ (next @ X0 @ X2)
% 30.88/6.85 | ~ (greater @ X1 @ X2))),
% 30.88/6.85 inference('cnf', [status(esa)], [no_redundancy])).
% 30.88/6.85 thf(zip_derived_cl3249, plain,
% 30.88/6.85 ((![X0 : $i]: (~ (next @ e_2 @ X0) | ~ (greater @ e_4 @ X0)))
% 30.88/6.85 <= (( (product @ e_2 @ e_1 @ e_4)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl536, zip_derived_cl20])).
% 30.88/6.85 thf(zip_derived_cl3251, plain,
% 30.88/6.85 ((~ (greater @ e_4 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_4)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3249])).
% 30.88/6.85 thf(e_4_greater_e_3, axiom, (greater @ e_4 @ e_3)).
% 30.88/6.85 thf(zip_derived_cl14, plain, ( (greater @ e_4 @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_4_greater_e_3])).
% 30.88/6.85 thf('4', plain, (~ ( (product @ e_2 @ e_1 @ e_4))),
% 30.88/6.85 inference('demod', [status(thm)], [zip_derived_cl3251, zip_derived_cl14])).
% 30.88/6.85 thf(zip_derived_cl1, plain, ( (next @ e_2 @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 30.88/6.85 thf(zip_derived_cl653, plain,
% 30.88/6.85 (( (product @ e_2 @ e_1 @ e_5)) <= (( (product @ e_2 @ e_1 @ e_5)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl127])).
% 30.88/6.85 thf(zip_derived_cl20, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.88/6.85 (~ (product @ X0 @ e_1 @ X1)
% 30.88/6.85 | ~ (next @ X0 @ X2)
% 30.88/6.85 | ~ (greater @ X1 @ X2))),
% 30.88/6.85 inference('cnf', [status(esa)], [no_redundancy])).
% 30.88/6.85 thf(zip_derived_cl662, plain,
% 30.88/6.85 ((![X0 : $i]: (~ (next @ e_2 @ X0) | ~ (greater @ e_5 @ X0)))
% 30.88/6.85 <= (( (product @ e_2 @ e_1 @ e_5)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl653, zip_derived_cl20])).
% 30.88/6.85 thf(zip_derived_cl664, plain,
% 30.88/6.85 ((~ (greater @ e_5 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_5)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl662])).
% 30.88/6.85 thf(e_5_greater_e_3, axiom, (greater @ e_5 @ e_3)).
% 30.88/6.85 thf(zip_derived_cl15, plain, ( (greater @ e_5 @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_5_greater_e_3])).
% 30.88/6.85 thf('5', plain, (~ ( (product @ e_2 @ e_1 @ e_5))),
% 30.88/6.85 inference('demod', [status(thm)], [zip_derived_cl664, zip_derived_cl15])).
% 30.88/6.85 thf(zip_derived_cl1, plain, ( (next @ e_2 @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 30.88/6.85 thf(zip_derived_cl534, plain,
% 30.88/6.85 (( (product @ e_2 @ e_1 @ e_6)) <= (( (product @ e_2 @ e_1 @ e_6)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl121])).
% 30.88/6.85 thf(zip_derived_cl20, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.88/6.85 (~ (product @ X0 @ e_1 @ X1)
% 30.88/6.85 | ~ (next @ X0 @ X2)
% 30.88/6.85 | ~ (greater @ X1 @ X2))),
% 30.88/6.85 inference('cnf', [status(esa)], [no_redundancy])).
% 30.88/6.85 thf(zip_derived_cl544, plain,
% 30.88/6.85 ((![X0 : $i]: (~ (next @ e_2 @ X0) | ~ (greater @ e_6 @ X0)))
% 30.88/6.85 <= (( (product @ e_2 @ e_1 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl534, zip_derived_cl20])).
% 30.88/6.85 thf(zip_derived_cl546, plain,
% 30.88/6.85 ((~ (greater @ e_6 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl544])).
% 30.88/6.85 thf(e_6_greater_e_3, axiom, (greater @ e_6 @ e_3)).
% 30.88/6.85 thf(zip_derived_cl16, plain, ( (greater @ e_6 @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_6_greater_e_3])).
% 30.88/6.85 thf('6', plain, (~ ( (product @ e_2 @ e_1 @ e_6))),
% 30.88/6.85 inference('demod', [status(thm)], [zip_derived_cl546, zip_derived_cl16])).
% 30.88/6.85 thf(zip_derived_cl539, plain,
% 30.88/6.85 (( (product @ e_2 @ e_1 @ e_1)) <= (( (product @ e_2 @ e_1 @ e_1)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl121])).
% 30.88/6.85 thf(zip_derived_cl61, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 30.88/6.85 inference('cnf', [status(esa)], [product_idempotence])).
% 30.88/6.85 thf(zip_derived_cl60, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.85 | (equalish @ X0 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.85 thf(zip_derived_cl82, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.85 thf(zip_derived_cl3290, plain,
% 30.88/6.85 (( (equalish @ e_1 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_1)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl539, zip_derived_cl82])).
% 30.88/6.85 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 30.88/6.85 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_2)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 30.88/6.85 thf('7', plain, (~ ( (product @ e_2 @ e_1 @ e_1))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl3290, zip_derived_cl27])).
% 30.88/6.85 thf('8', plain,
% 30.88/6.85 (( (product @ e_2 @ e_1 @ e_3)) | ( (product @ e_2 @ e_1 @ e_1)) |
% 30.88/6.85 ( (product @ e_2 @ e_1 @ e_6)) | ( (product @ e_2 @ e_1 @ e_5)) |
% 30.88/6.85 ( (product @ e_2 @ e_1 @ e_4)) | ( (product @ e_2 @ e_1 @ e_2))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl121])).
% 30.88/6.85 thf('9', plain, (( (product @ e_2 @ e_1 @ e_3))),
% 30.88/6.85 inference('sat_resolution*', [status(thm)],
% 30.88/6.85 ['3', '4', '5', '6', '7', '8'])).
% 30.88/6.85 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.85 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.85 thf(zip_derived_cl8016, plain,
% 30.88/6.85 (( (equalish @ e_5 @ e_2)) <= (( (product @ e_5 @ e_1 @ e_3)))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl7670, zip_derived_cl3988])).
% 30.88/6.85 thf(e_5_is_not_e_2, axiom, (~( equalish @ e_5 @ e_2 ))).
% 30.88/6.85 thf(zip_derived_cl48, plain, (~ (equalish @ e_5 @ e_2)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_5_is_not_e_2])).
% 30.88/6.85 thf('10', plain, (~ ( (product @ e_5 @ e_1 @ e_3))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl8016, zip_derived_cl48])).
% 30.88/6.85 thf(zip_derived_cl1381, plain,
% 30.88/6.85 (( (product @ e_5 @ e_1 @ e_1)) <= (( (product @ e_5 @ e_1 @ e_1)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl218])).
% 30.88/6.85 thf(zip_derived_cl82, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.85 thf(zip_derived_cl7778, plain,
% 30.88/6.85 (( (equalish @ e_1 @ e_5)) <= (( (product @ e_5 @ e_1 @ e_1)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1381, zip_derived_cl82])).
% 30.88/6.85 thf(e_1_is_not_e_5, axiom, (~( equalish @ e_1 @ e_5 ))).
% 30.88/6.85 thf(zip_derived_cl30, plain, (~ (equalish @ e_1 @ e_5)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_1_is_not_e_5])).
% 30.88/6.85 thf('11', plain, (~ ( (product @ e_5 @ e_1 @ e_1))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl7778, zip_derived_cl30])).
% 30.88/6.85 thf(zip_derived_cl69, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl57])).
% 30.88/6.85 thf(element_3, axiom, (group_element @ e_3)).
% 30.88/6.85 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_3])).
% 30.88/6.85 thf(zip_derived_cl178, plain,
% 30.88/6.85 (( (product @ e_4 @ e_3 @ e_6)
% 30.88/6.85 | (product @ e_4 @ e_3 @ e_5)
% 30.88/6.85 | (product @ e_4 @ e_3 @ e_4)
% 30.88/6.85 | (product @ e_4 @ e_3 @ e_3)
% 30.88/6.85 | (product @ e_4 @ e_3 @ e_2)
% 30.88/6.85 | (product @ e_4 @ e_3 @ e_1))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl23])).
% 30.88/6.85 thf(zip_derived_cl1130, plain,
% 30.88/6.85 (( (product @ e_4 @ e_3 @ e_6)) <= (( (product @ e_4 @ e_3 @ e_6)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl178])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl1139, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_6 @ e_3 @ X0) | ~ (product @ e_3 @ X0 @ e_4)))
% 30.88/6.85 <= (( (product @ e_4 @ e_3 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1130, zip_derived_cl62])).
% 30.88/6.85 thf(element_6, axiom, (group_element @ e_6)).
% 30.88/6.85 thf(zip_derived_cl26, plain, ( (group_element @ e_6)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_6])).
% 30.88/6.85 thf(zip_derived_cl57, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | ~ (group_element @ X1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_2)
% 30.88/6.85 | (product @ X0 @ X1 @ e_3)
% 30.88/6.85 | (product @ X0 @ X1 @ e_4)
% 30.88/6.85 | (product @ X0 @ X1 @ e_5)
% 30.88/6.85 | (product @ X0 @ X1 @ e_6))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_total_function1])).
% 30.88/6.85 thf(zip_derived_cl71, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.85 thf(zip_derived_cl242, plain,
% 30.88/6.85 (( (product @ e_6 @ e_2 @ e_6)
% 30.88/6.85 | (product @ e_6 @ e_2 @ e_5)
% 30.88/6.85 | (product @ e_6 @ e_2 @ e_4)
% 30.88/6.85 | (product @ e_6 @ e_2 @ e_3)
% 30.88/6.85 | (product @ e_6 @ e_2 @ e_2)
% 30.88/6.85 | (product @ e_6 @ e_2 @ e_1))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl22])).
% 30.88/6.85 thf(zip_derived_cl1672, plain,
% 30.88/6.85 (( (product @ e_6 @ e_2 @ e_1)) <= (( (product @ e_6 @ e_2 @ e_1)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl242])).
% 30.88/6.85 thf(zip_derived_cl59, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.85 | (equalish @ X1 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.85 thf(zip_derived_cl10217, plain,
% 30.88/6.85 ((![X0 : $i]: (~ (product @ e_6 @ X0 @ e_1) | (equalish @ e_2 @ X0)))
% 30.88/6.85 <= (( (product @ e_6 @ e_2 @ e_1)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1672, zip_derived_cl59])).
% 30.88/6.85 thf(zip_derived_cl10695, plain,
% 30.88/6.85 (((~ (product @ e_3 @ e_1 @ e_4) | (equalish @ e_2 @ e_3)))
% 30.88/6.85 <= (( (product @ e_4 @ e_3 @ e_6)) & ( (product @ e_6 @ e_2 @ e_1)))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl1139, zip_derived_cl10217])).
% 30.88/6.85 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 30.88/6.85 thf(zip_derived_cl33, plain, (~ (equalish @ e_2 @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 30.88/6.85 thf(zip_derived_cl10712, plain,
% 30.88/6.85 ((~ (product @ e_3 @ e_1 @ e_4))
% 30.88/6.85 <= (( (product @ e_4 @ e_3 @ e_6)) & ( (product @ e_6 @ e_2 @ e_1)))),
% 30.88/6.85 inference('demod', [status(thm)], [zip_derived_cl10695, zip_derived_cl33])).
% 30.88/6.85 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_3])).
% 30.88/6.85 thf(zip_derived_cl57, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | ~ (group_element @ X1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_1)
% 30.88/6.85 | (product @ X0 @ X1 @ e_2)
% 30.88/6.85 | (product @ X0 @ X1 @ e_3)
% 30.88/6.85 | (product @ X0 @ X1 @ e_4)
% 30.88/6.85 | (product @ X0 @ X1 @ e_5)
% 30.88/6.85 | (product @ X0 @ X1 @ e_6))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_total_function1])).
% 30.88/6.85 thf(zip_derived_cl68, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.85 thf(zip_derived_cl158, plain,
% 30.88/6.85 (( (product @ e_3 @ e_1 @ e_6)
% 30.88/6.85 | (product @ e_3 @ e_1 @ e_5)
% 30.88/6.85 | (product @ e_3 @ e_1 @ e_4)
% 30.88/6.85 | (product @ e_3 @ e_1 @ e_3)
% 30.88/6.85 | (product @ e_3 @ e_1 @ e_2)
% 30.88/6.85 | (product @ e_3 @ e_1 @ e_1))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl21])).
% 30.88/6.85 thf(zip_derived_cl817, plain,
% 30.88/6.85 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.85 thf('12', plain,
% 30.88/6.85 (~ ( (product @ e_4 @ e_3 @ e_6)) | ~ ( (product @ e_6 @ e_2 @ e_1)) |
% 30.88/6.85 ~ ( (product @ e_3 @ e_1 @ e_4))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl10712, zip_derived_cl817])).
% 30.88/6.85 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.85 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl3992, plain,
% 30.88/6.85 (![X0 : $i]: ( (product @ e_3 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_2))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl3988, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl1134, plain,
% 30.88/6.85 (( (product @ e_4 @ e_3 @ e_2)) <= (( (product @ e_4 @ e_3 @ e_2)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl178])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl6448, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_2 @ e_3 @ X0) | ~ (product @ e_3 @ X0 @ e_4)))
% 30.88/6.85 <= (( (product @ e_4 @ e_3 @ e_2)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1134, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl32157, plain,
% 30.88/6.85 (((~ (product @ e_1 @ e_4 @ e_2) | (product @ e_2 @ e_3 @ e_1)))
% 30.88/6.85 <= (( (product @ e_4 @ e_3 @ e_2)))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl3992, zip_derived_cl6448])).
% 30.88/6.85 thf('13', plain,
% 30.88/6.85 (~ ( (product @ e_4 @ e_3 @ e_2)) | ~ ( (product @ e_1 @ e_4 @ e_2)) |
% 30.88/6.85 ( (product @ e_2 @ e_3 @ e_1))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl32157])).
% 30.88/6.85 thf(zip_derived_cl1378, plain,
% 30.88/6.85 (( (product @ e_5 @ e_1 @ e_4)) <= (( (product @ e_5 @ e_1 @ e_4)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl218])).
% 30.88/6.85 thf(zip_derived_cl60, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.85 | (equalish @ X0 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.85 thf(zip_derived_cl7604, plain,
% 30.88/6.85 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_4) | (equalish @ e_5 @ X0)))
% 30.88/6.85 <= (( (product @ e_5 @ e_1 @ e_4)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1378, zip_derived_cl60])).
% 30.88/6.85 thf(zip_derived_cl3992, plain,
% 30.88/6.85 (![X0 : $i]: ( (product @ e_3 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_2))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl3988, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl32229, plain,
% 30.88/6.85 ((( (equalish @ e_5 @ e_3) | ~ (product @ e_1 @ e_4 @ e_2)))
% 30.88/6.85 <= (( (product @ e_5 @ e_1 @ e_4)))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl7604, zip_derived_cl3992])).
% 30.88/6.85 thf(e_5_is_not_e_3, axiom, (~( equalish @ e_5 @ e_3 ))).
% 30.88/6.85 thf(zip_derived_cl49, plain, (~ (equalish @ e_5 @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_5_is_not_e_3])).
% 30.88/6.85 thf(zip_derived_cl32294, plain,
% 30.88/6.85 ((~ (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_5 @ e_1 @ e_4)))),
% 30.88/6.85 inference('demod', [status(thm)], [zip_derived_cl32229, zip_derived_cl49])).
% 30.88/6.85 thf(zip_derived_cl66, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_4])).
% 30.88/6.85 thf(zip_derived_cl96, plain,
% 30.88/6.85 (( (product @ e_1 @ e_4 @ e_6)
% 30.88/6.85 | (product @ e_1 @ e_4 @ e_5)
% 30.88/6.85 | (product @ e_1 @ e_4 @ e_4)
% 30.88/6.85 | (product @ e_1 @ e_4 @ e_3)
% 30.88/6.85 | (product @ e_1 @ e_4 @ e_2)
% 30.88/6.85 | (product @ e_1 @ e_4 @ e_1))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl24])).
% 30.88/6.85 thf(zip_derived_cl317, plain,
% 30.88/6.85 (( (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_1 @ e_4 @ e_2)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.85 thf('14', plain,
% 30.88/6.85 (~ ( (product @ e_5 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_2))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl32294, zip_derived_cl317])).
% 30.88/6.85 thf(zip_derived_cl3992, plain,
% 30.88/6.85 (![X0 : $i]: ( (product @ e_3 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_2))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl3988, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.85 thf(zip_derived_cl71, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl247, plain,
% 30.88/6.85 (( (product @ e_6 @ e_1 @ e_1)
% 30.88/6.85 | (product @ e_6 @ e_1 @ e_2)
% 30.88/6.85 | (product @ e_6 @ e_1 @ e_3)
% 30.88/6.85 | (product @ e_6 @ e_1 @ e_4)
% 30.88/6.85 | (product @ e_6 @ e_1 @ e_5)
% 30.88/6.85 | (product @ e_6 @ e_1 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl71])).
% 30.88/6.85 thf(zip_derived_cl1803, plain,
% 30.88/6.85 (( (product @ e_6 @ e_1 @ e_5)) <= (( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl247])).
% 30.88/6.85 thf(zip_derived_cl26, plain, ( (group_element @ e_6)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_6])).
% 30.88/6.85 thf(zip_derived_cl66, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl104, plain,
% 30.88/6.85 (( (product @ e_1 @ e_6 @ e_1)
% 30.88/6.85 | (product @ e_1 @ e_6 @ e_2)
% 30.88/6.85 | (product @ e_1 @ e_6 @ e_3)
% 30.88/6.85 | (product @ e_1 @ e_6 @ e_4)
% 30.88/6.85 | (product @ e_1 @ e_6 @ e_5)
% 30.88/6.85 | (product @ e_1 @ e_6 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl66])).
% 30.88/6.85 thf(zip_derived_cl481, plain,
% 30.88/6.85 (( (product @ e_1 @ e_6 @ e_5)) <= (( (product @ e_1 @ e_6 @ e_5)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl104])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl489, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_5 @ e_6 @ X0) | ~ (product @ e_6 @ X0 @ e_1)))
% 30.88/6.85 <= (( (product @ e_1 @ e_6 @ e_5)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl481, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl107, plain,
% 30.88/6.85 (( (product @ e_1 @ e_2 @ e_6)) <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl116, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.85 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl692, plain,
% 30.88/6.85 ((( (product @ e_5 @ e_6 @ e_2) | ~ (product @ e_2 @ e_1 @ e_1)))
% 30.88/6.85 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_1 @ e_6 @ e_5)))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl489, zip_derived_cl116])).
% 30.88/6.85 thf(zip_derived_cl735, plain,
% 30.88/6.85 (( (product @ e_5 @ e_6 @ e_2)) <= (( (product @ e_5 @ e_6 @ e_2)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl692])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl740, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_2 @ e_6 @ X0) | ~ (product @ e_6 @ X0 @ e_5)))
% 30.88/6.85 <= (( (product @ e_5 @ e_6 @ e_2)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl735, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl4223, plain,
% 30.88/6.85 (( (product @ e_2 @ e_6 @ e_1))
% 30.88/6.85 <= (( (product @ e_5 @ e_6 @ e_2)) & ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl1803, zip_derived_cl740])).
% 30.88/6.85 thf(zip_derived_cl108, plain,
% 30.88/6.85 (( (product @ e_1 @ e_2 @ e_5)) <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl120, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.85 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl209, plain,
% 30.88/6.85 ((![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (product @ e_2 @ X0 @ e_1)
% 30.88/6.85 | (product @ X0 @ e_2 @ X1)
% 30.88/6.85 | ~ (product @ e_2 @ X1 @ e_5)))
% 30.88/6.85 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl5042, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_5)))
% 30.88/6.85 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 30.88/6.85 ( (product @ e_5 @ e_6 @ e_2)) &
% 30.88/6.85 ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl4223, zip_derived_cl209])).
% 30.88/6.85 thf(zip_derived_cl66, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl25, plain, ( (group_element @ e_5)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_5])).
% 30.88/6.85 thf(zip_derived_cl97, plain,
% 30.88/6.85 (( (product @ e_1 @ e_5 @ e_6)
% 30.88/6.85 | (product @ e_1 @ e_5 @ e_5)
% 30.88/6.85 | (product @ e_1 @ e_5 @ e_4)
% 30.88/6.85 | (product @ e_1 @ e_5 @ e_3)
% 30.88/6.85 | (product @ e_1 @ e_5 @ e_2)
% 30.88/6.85 | (product @ e_1 @ e_5 @ e_1))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl25])).
% 30.88/6.85 thf(zip_derived_cl347, plain,
% 30.88/6.85 (( (product @ e_1 @ e_5 @ e_6)) <= (( (product @ e_1 @ e_5 @ e_6)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl97])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl356, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_6 @ e_5 @ X0) | ~ (product @ e_5 @ X0 @ e_1)))
% 30.88/6.85 <= (( (product @ e_1 @ e_5 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl347, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl59, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.85 | (equalish @ X1 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.85 thf(zip_derived_cl506, plain,
% 30.88/6.85 ((![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (product @ e_5 @ X0 @ e_1)
% 30.88/6.85 | ~ (product @ e_6 @ X1 @ X0)
% 30.88/6.85 | (equalish @ e_5 @ X1)))
% 30.88/6.85 <= (( (product @ e_1 @ e_5 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl356, zip_derived_cl59])).
% 30.88/6.85 thf(zip_derived_cl9604, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 (~ (product @ e_2 @ X0 @ e_5)
% 30.88/6.85 | ~ (product @ e_5 @ X0 @ e_1)
% 30.88/6.85 | (equalish @ e_5 @ e_2)))
% 30.88/6.85 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 30.88/6.85 ( (product @ e_1 @ e_5 @ e_6)) &
% 30.88/6.85 ( (product @ e_5 @ e_6 @ e_2)) &
% 30.88/6.85 ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl5042, zip_derived_cl506])).
% 30.88/6.85 thf(zip_derived_cl48, plain, (~ (equalish @ e_5 @ e_2)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_5_is_not_e_2])).
% 30.88/6.85 thf(zip_derived_cl9659, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 (~ (product @ e_2 @ X0 @ e_5) | ~ (product @ e_5 @ X0 @ e_1)))
% 30.88/6.85 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 30.88/6.85 ( (product @ e_1 @ e_5 @ e_6)) &
% 30.88/6.85 ( (product @ e_5 @ e_6 @ e_2)) &
% 30.88/6.85 ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.85 inference('demod', [status(thm)], [zip_derived_cl9604, zip_derived_cl48])).
% 30.88/6.85 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_3])).
% 30.88/6.85 thf(zip_derived_cl69, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_4 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl184, plain,
% 30.88/6.85 (( (product @ e_4 @ e_3 @ e_1)
% 30.88/6.85 | (product @ e_4 @ e_3 @ e_2)
% 30.88/6.85 | (product @ e_4 @ e_3 @ e_3)
% 30.88/6.85 | (product @ e_4 @ e_3 @ e_4)
% 30.88/6.85 | (product @ e_4 @ e_3 @ e_5)
% 30.88/6.85 | (product @ e_4 @ e_3 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl69])).
% 30.88/6.85 thf(zip_derived_cl1230, plain,
% 30.88/6.85 (( (product @ e_4 @ e_3 @ e_5)) <= (( (product @ e_4 @ e_3 @ e_5)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl184])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl1238, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_5 @ e_3 @ X0) | ~ (product @ e_3 @ X0 @ e_4)))
% 30.88/6.85 <= (( (product @ e_4 @ e_3 @ e_5)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1230, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl11556, plain,
% 30.88/6.85 (((~ (product @ e_2 @ e_3 @ e_5) | ~ (product @ e_3 @ e_1 @ e_4)))
% 30.88/6.85 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 30.88/6.85 ( (product @ e_1 @ e_5 @ e_6)) &
% 30.88/6.85 ( (product @ e_5 @ e_6 @ e_2)) &
% 30.88/6.85 ( (product @ e_4 @ e_3 @ e_5)) &
% 30.88/6.85 ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl9659, zip_derived_cl1238])).
% 30.88/6.85 thf(zip_derived_cl12014, plain,
% 30.88/6.85 ((~ (product @ e_3 @ e_1 @ e_4)) <= (~ ( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl11556])).
% 30.88/6.85 thf(zip_derived_cl32220, plain,
% 30.88/6.85 ((~ (product @ e_1 @ e_4 @ e_2)) <= (~ ( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl3992, zip_derived_cl12014])).
% 30.88/6.85 thf(zip_derived_cl317, plain,
% 30.88/6.85 (( (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_1 @ e_4 @ e_2)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.85 thf('15', plain,
% 30.88/6.85 (( (product @ e_3 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_2))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl32220, zip_derived_cl317])).
% 30.88/6.85 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.85 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.85 thf(zip_derived_cl68, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_3 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.85 thf(zip_derived_cl159, plain,
% 30.88/6.85 (( (product @ e_3 @ e_2 @ e_6)
% 30.88/6.85 | (product @ e_3 @ e_2 @ e_5)
% 30.88/6.85 | (product @ e_3 @ e_2 @ e_4)
% 30.88/6.85 | (product @ e_3 @ e_2 @ e_3)
% 30.88/6.85 | (product @ e_3 @ e_2 @ e_2)
% 30.88/6.85 | (product @ e_3 @ e_2 @ e_1))),
% 30.88/6.85 inference('s_sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl22])).
% 30.88/6.85 thf(zip_derived_cl843, plain,
% 30.88/6.85 (( (product @ e_3 @ e_2 @ e_6)) <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl852, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.85 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl62])).
% 30.88/6.85 thf(product_total_function2, axiom,
% 30.88/6.85 (( ~( product @ X @ Y @ W ) ) | ( ~( product @ X @ Y @ Z ) ) |
% 30.88/6.85 ( equalish @ W @ Z ))).
% 30.88/6.85 thf(zip_derived_cl58, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X0 @ X1 @ X3)
% 30.88/6.85 | (equalish @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [product_total_function2])).
% 30.88/6.85 thf(zip_derived_cl4467, plain,
% 30.88/6.85 ((![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (product @ e_2 @ X0 @ e_3)
% 30.88/6.85 | ~ (product @ e_6 @ e_2 @ X1)
% 30.88/6.85 | (equalish @ X0 @ X1)))
% 30.88/6.85 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl852, zip_derived_cl58])).
% 30.88/6.85 thf(zip_derived_cl14884, plain,
% 30.88/6.85 ((![X0 : $i]: (~ (product @ e_6 @ e_2 @ X0) | (equalish @ e_1 @ X0)))
% 30.88/6.85 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl3988, zip_derived_cl4467])).
% 30.88/6.85 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.85 thf(zip_derived_cl71, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_6 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl248, plain,
% 30.88/6.85 (( (product @ e_6 @ e_2 @ e_1)
% 30.88/6.85 | (product @ e_6 @ e_2 @ e_2)
% 30.88/6.85 | (product @ e_6 @ e_2 @ e_3)
% 30.88/6.85 | (product @ e_6 @ e_2 @ e_4)
% 30.88/6.85 | (product @ e_6 @ e_2 @ e_5)
% 30.88/6.85 | (product @ e_6 @ e_2 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl71])).
% 30.88/6.85 thf(zip_derived_cl1836, plain,
% 30.88/6.85 (( (product @ e_6 @ e_2 @ e_3)) <= (( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl248])).
% 30.88/6.85 thf(zip_derived_cl14891, plain,
% 30.88/6.85 (( (equalish @ e_1 @ e_3))
% 30.88/6.85 <= (( (product @ e_3 @ e_2 @ e_6)) & ( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl14884, zip_derived_cl1836])).
% 30.88/6.85 thf(e_1_is_not_e_3, axiom, (~( equalish @ e_1 @ e_3 ))).
% 30.88/6.85 thf(zip_derived_cl28, plain, (~ (equalish @ e_1 @ e_3)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 30.88/6.85 thf('16', plain,
% 30.88/6.85 (~ ( (product @ e_6 @ e_2 @ e_3)) | ~ ( (product @ e_3 @ e_2 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl14891, zip_derived_cl28])).
% 30.88/6.85 thf(zip_derived_cl14884, plain,
% 30.88/6.85 ((![X0 : $i]: (~ (product @ e_6 @ e_2 @ X0) | (equalish @ e_1 @ X0)))
% 30.88/6.85 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl3988, zip_derived_cl4467])).
% 30.88/6.85 thf(zip_derived_cl1670, plain,
% 30.88/6.85 (( (product @ e_6 @ e_2 @ e_4)) <= (( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl242])).
% 30.88/6.85 thf(zip_derived_cl14892, plain,
% 30.88/6.85 (( (equalish @ e_1 @ e_4))
% 30.88/6.85 <= (( (product @ e_3 @ e_2 @ e_6)) & ( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl14884, zip_derived_cl1670])).
% 30.88/6.85 thf(e_1_is_not_e_4, axiom, (~( equalish @ e_1 @ e_4 ))).
% 30.88/6.85 thf(zip_derived_cl29, plain, (~ (equalish @ e_1 @ e_4)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 30.88/6.85 thf('17', plain,
% 30.88/6.85 (~ ( (product @ e_6 @ e_2 @ e_4)) | ~ ( (product @ e_3 @ e_2 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl14892, zip_derived_cl29])).
% 30.88/6.85 thf(zip_derived_cl14884, plain,
% 30.88/6.85 ((![X0 : $i]: (~ (product @ e_6 @ e_2 @ X0) | (equalish @ e_1 @ X0)))
% 30.88/6.85 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl3988, zip_derived_cl4467])).
% 30.88/6.85 thf(zip_derived_cl1673, plain,
% 30.88/6.85 (( (product @ e_6 @ e_2 @ e_5)) <= (( (product @ e_6 @ e_2 @ e_5)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl242])).
% 30.88/6.85 thf(zip_derived_cl14893, plain,
% 30.88/6.85 (( (equalish @ e_1 @ e_5))
% 30.88/6.85 <= (( (product @ e_3 @ e_2 @ e_6)) & ( (product @ e_6 @ e_2 @ e_5)))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl14884, zip_derived_cl1673])).
% 30.88/6.85 thf(zip_derived_cl30, plain, (~ (equalish @ e_1 @ e_5)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_1_is_not_e_5])).
% 30.88/6.85 thf('18', plain,
% 30.88/6.85 (~ ( (product @ e_6 @ e_2 @ e_5)) | ~ ( (product @ e_3 @ e_2 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)],
% 30.88/6.85 [zip_derived_cl14893, zip_derived_cl30])).
% 30.88/6.85 thf(zip_derived_cl1380, plain,
% 30.88/6.85 (( (product @ e_5 @ e_1 @ e_2)) <= (( (product @ e_5 @ e_1 @ e_2)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl218])).
% 30.88/6.85 thf(zip_derived_cl62, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.85 ( (product @ X0 @ X1 @ X2)
% 30.88/6.85 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.85 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.85 thf(zip_derived_cl7745, plain,
% 30.88/6.85 ((![X0 : $i]:
% 30.88/6.85 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_5)))
% 30.88/6.85 <= (( (product @ e_5 @ e_1 @ e_2)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl1380, zip_derived_cl62])).
% 30.88/6.85 thf(zip_derived_cl77, plain,
% 30.88/6.85 (![X0 : $i, X1 : $i]:
% 30.88/6.85 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.85 thf(zip_derived_cl21087, plain,
% 30.88/6.85 (((~ (product @ e_1 @ e_2 @ e_5) | (equalish @ e_2 @ e_1)))
% 30.88/6.85 <= (( (product @ e_5 @ e_1 @ e_2)))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl7745, zip_derived_cl77])).
% 30.88/6.85 thf(zip_derived_cl32, plain, (~ (equalish @ e_2 @ e_1)),
% 30.88/6.85 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 30.88/6.85 thf(zip_derived_cl21199, plain,
% 30.88/6.85 ((~ (product @ e_1 @ e_2 @ e_5)) <= (( (product @ e_5 @ e_1 @ e_2)))),
% 30.88/6.85 inference('demod', [status(thm)], [zip_derived_cl21087, zip_derived_cl32])).
% 30.88/6.85 thf(zip_derived_cl108, plain,
% 30.88/6.85 (( (product @ e_1 @ e_2 @ e_5)) <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.85 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.85 thf('19', plain,
% 30.88/6.85 (~ ( (product @ e_5 @ e_1 @ e_2)) | ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.85 inference('s_sup+', [status(thm)],
% 30.88/6.85 [zip_derived_cl21199, zip_derived_cl108])).
% 30.88/6.85 thf(zip_derived_cl66, plain,
% 30.88/6.85 (![X0 : $i]:
% 30.88/6.85 (~ (group_element @ X0)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_1)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_2)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_3)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_4)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_5)
% 30.88/6.85 | (product @ e_1 @ X0 @ e_6))),
% 30.88/6.85 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl57])).
% 30.88/6.85 thf(zip_derived_cl26, plain, ( (group_element @ e_6)),
% 30.88/6.85 inference('cnf', [status(esa)], [element_6])).
% 30.88/6.85 thf(zip_derived_cl98, plain,
% 30.88/6.85 (( (product @ e_1 @ e_6 @ e_6)
% 30.88/6.85 | (product @ e_1 @ e_6 @ e_5)
% 30.88/6.86 | (product @ e_1 @ e_6 @ e_4)
% 30.88/6.86 | (product @ e_1 @ e_6 @ e_3)
% 30.88/6.86 | (product @ e_1 @ e_6 @ e_2)
% 30.88/6.86 | (product @ e_1 @ e_6 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl26])).
% 30.88/6.86 thf('20', plain,
% 30.88/6.86 (( (product @ e_1 @ e_6 @ e_3)) | ( (product @ e_1 @ e_6 @ e_5)) |
% 30.88/6.86 ( (product @ e_1 @ e_6 @ e_6)) | ( (product @ e_1 @ e_6 @ e_4)) |
% 30.88/6.86 ( (product @ e_1 @ e_6 @ e_2)) | ( (product @ e_1 @ e_6 @ e_1))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl98])).
% 30.88/6.86 thf(zip_derived_cl362, plain,
% 30.88/6.86 (( (product @ e_1 @ e_6 @ e_6)) <= (( (product @ e_1 @ e_6 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl98])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl372, plain,
% 30.88/6.86 (( (equalish @ e_6 @ e_1)) <= (( (product @ e_1 @ e_6 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl362, zip_derived_cl82])).
% 30.88/6.86 thf(e_6_is_not_e_1, axiom, (~( equalish @ e_6 @ e_1 ))).
% 30.88/6.86 thf(zip_derived_cl52, plain, (~ (equalish @ e_6 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_1])).
% 30.88/6.86 thf('21', plain, (~ ( (product @ e_1 @ e_6 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl372, zip_derived_cl52])).
% 30.88/6.86 thf(zip_derived_cl367, plain,
% 30.88/6.86 (( (product @ e_1 @ e_6 @ e_1)) <= (( (product @ e_1 @ e_6 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl98])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl2612, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_6)) <= (( (product @ e_1 @ e_6 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl77])).
% 30.88/6.86 thf(e_1_is_not_e_6, axiom, (~( equalish @ e_1 @ e_6 ))).
% 30.88/6.86 thf(zip_derived_cl31, plain, (~ (equalish @ e_1 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_6])).
% 30.88/6.86 thf('22', plain, (~ ( (product @ e_1 @ e_6 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl2612, zip_derived_cl31])).
% 30.88/6.86 thf('23', plain,
% 30.88/6.86 (( (product @ e_1 @ e_5 @ e_3)) | ( (product @ e_1 @ e_5 @ e_4)) |
% 30.88/6.86 ( (product @ e_1 @ e_5 @ e_5)) | ( (product @ e_1 @ e_5 @ e_2)) |
% 30.88/6.86 ( (product @ e_1 @ e_5 @ e_6)) | ( (product @ e_1 @ e_5 @ e_1))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl97])).
% 30.88/6.86 thf(zip_derived_cl25, plain, ( (group_element @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_5])).
% 30.88/6.86 thf(zip_derived_cl66, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl103, plain,
% 30.88/6.86 (( (product @ e_1 @ e_5 @ e_1)
% 30.88/6.86 | (product @ e_1 @ e_5 @ e_2)
% 30.88/6.86 | (product @ e_1 @ e_5 @ e_3)
% 30.88/6.86 | (product @ e_1 @ e_5 @ e_4)
% 30.88/6.86 | (product @ e_1 @ e_5 @ e_5)
% 30.88/6.86 | (product @ e_1 @ e_5 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl66])).
% 30.88/6.86 thf(zip_derived_cl457, plain,
% 30.88/6.86 (( (product @ e_1 @ e_5 @ e_5)) <= (( (product @ e_1 @ e_5 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl103])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl466, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_1)) <= (( (product @ e_1 @ e_5 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl47, plain, (~ (equalish @ e_5 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_1])).
% 30.88/6.86 thf('24', plain, (~ ( (product @ e_1 @ e_5 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl466, zip_derived_cl47])).
% 30.88/6.86 thf(zip_derived_cl352, plain,
% 30.88/6.86 (( (product @ e_1 @ e_5 @ e_1)) <= (( (product @ e_1 @ e_5 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl97])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl2460, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_5)) <= (( (product @ e_1 @ e_5 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl352, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl30, plain, (~ (equalish @ e_1 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_5])).
% 30.88/6.86 thf('25', plain, (~ ( (product @ e_1 @ e_5 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl2460, zip_derived_cl30])).
% 30.88/6.86 thf(zip_derived_cl819, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_2)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl4279, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl819, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1670, plain,
% 30.88/6.86 (( (product @ e_6 @ e_2 @ e_4)) <= (( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl242])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl1679, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1670, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl5042, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 30.88/6.86 ( (product @ e_5 @ e_6 @ e_2)) &
% 30.88/6.86 ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl4223, zip_derived_cl209])).
% 30.88/6.86 thf(zip_derived_cl313, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_6)) <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl322, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl470, plain,
% 30.88/6.86 ((![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ e_4 @ X0 @ e_1)
% 30.88/6.86 | ~ (product @ e_6 @ X1 @ X0)
% 30.88/6.86 | (equalish @ e_4 @ X1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl322, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl9603, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_5)
% 30.88/6.86 | ~ (product @ e_4 @ X0 @ e_1)
% 30.88/6.86 | (equalish @ e_4 @ e_2)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 30.88/6.86 ( (product @ e_1 @ e_4 @ e_6)) &
% 30.88/6.86 ( (product @ e_5 @ e_6 @ e_2)) &
% 30.88/6.86 ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl5042, zip_derived_cl470])).
% 30.88/6.86 thf(e_4_is_not_e_2, axiom, (~( equalish @ e_4 @ e_2 ))).
% 30.88/6.86 thf(zip_derived_cl43, plain, (~ (equalish @ e_4 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl9658, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_5) | ~ (product @ e_4 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 30.88/6.86 ( (product @ e_1 @ e_4 @ e_6)) &
% 30.88/6.86 ( (product @ e_5 @ e_6 @ e_2)) &
% 30.88/6.86 ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl9603, zip_derived_cl43])).
% 30.88/6.86 thf(zip_derived_cl11193, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_1 @ e_6) | ~ (product @ e_2 @ e_2 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 30.88/6.86 ( (product @ e_1 @ e_4 @ e_6)) &
% 30.88/6.86 ( (product @ e_5 @ e_6 @ e_2)) &
% 30.88/6.86 ( (product @ e_6 @ e_1 @ e_5)) &
% 30.88/6.86 ( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1679, zip_derived_cl9658])).
% 30.88/6.86 thf(zip_derived_cl11457, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_1 @ e_6)) <= (~ ( (product @ e_2 @ e_1 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl11193])).
% 30.88/6.86 thf('26', plain, (~ ( (product @ e_2 @ e_1 @ e_6))),
% 30.88/6.86 inference('sat_resolution*', [status(thm)], ['6'])).
% 30.88/6.86 thf(zip_derived_cl11458, plain, (~ (product @ e_2 @ e_1 @ e_6)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl11457, '26'])).
% 30.88/6.86 thf(zip_derived_cl19564, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_6 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl4279, zip_derived_cl11458])).
% 30.88/6.86 thf(zip_derived_cl365, plain,
% 30.88/6.86 (( (product @ e_1 @ e_6 @ e_3)) <= (( (product @ e_1 @ e_6 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl98])).
% 30.88/6.86 thf('27', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_6 @ e_3)) | ~ ( (product @ e_3 @ e_1 @ e_2))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl19564, zip_derived_cl365])).
% 30.88/6.86 thf(zip_derived_cl4279, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl819, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl5042, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 30.88/6.86 ( (product @ e_5 @ e_6 @ e_2)) &
% 30.88/6.86 ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl4223, zip_derived_cl209])).
% 30.88/6.86 thf(zip_derived_cl364, plain,
% 30.88/6.86 (( (product @ e_1 @ e_6 @ e_4)) <= (( (product @ e_1 @ e_6 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl98])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl2494, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_6 @ X0) | ~ (product @ e_6 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_6 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl364, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl13569, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_1 @ e_5) | (product @ e_4 @ e_6 @ e_2)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) &
% 30.88/6.86 ( (product @ e_1 @ e_6 @ e_4)) &
% 30.88/6.86 ( (product @ e_5 @ e_6 @ e_2)) &
% 30.88/6.86 ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl5042, zip_derived_cl2494])).
% 30.88/6.86 thf(zip_derived_cl14868, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_1 @ e_5)) <= (~ ( (product @ e_2 @ e_1 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl13569])).
% 30.88/6.86 thf('28', plain, (~ ( (product @ e_2 @ e_1 @ e_5))),
% 30.88/6.86 inference('sat_resolution*', [status(thm)], ['5'])).
% 30.88/6.86 thf(zip_derived_cl14869, plain, (~ (product @ e_2 @ e_1 @ e_5)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl14868, '28'])).
% 30.88/6.86 thf(zip_derived_cl19563, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_5 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl4279, zip_derived_cl14869])).
% 30.88/6.86 thf(zip_derived_cl350, plain,
% 30.88/6.86 (( (product @ e_1 @ e_5 @ e_3)) <= (( (product @ e_1 @ e_5 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl97])).
% 30.88/6.86 thf('29', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_5 @ e_3)) | ~ ( (product @ e_3 @ e_1 @ e_2))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl19563, zip_derived_cl350])).
% 30.88/6.86 thf(zip_derived_cl1078, plain,
% 30.88/6.86 (( (product @ e_4 @ e_1 @ e_2)) <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl176])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl5986, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1078, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl14869, plain, (~ (product @ e_2 @ e_1 @ e_5)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl14868, '28'])).
% 30.88/6.86 thf(zip_derived_cl20298, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_5 @ e_4)) <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl5986, zip_derived_cl14869])).
% 30.88/6.86 thf(zip_derived_cl349, plain,
% 30.88/6.86 (( (product @ e_1 @ e_5 @ e_4)) <= (( (product @ e_1 @ e_5 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl97])).
% 30.88/6.86 thf('30', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_5 @ e_4)) | ~ ( (product @ e_4 @ e_1 @ e_2))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl20298, zip_derived_cl349])).
% 30.88/6.86 thf(zip_derived_cl5986, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1078, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl11458, plain, (~ (product @ e_2 @ e_1 @ e_6)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl11457, '26'])).
% 30.88/6.86 thf(zip_derived_cl20299, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_6 @ e_4)) <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl5986, zip_derived_cl11458])).
% 30.88/6.86 thf(zip_derived_cl364, plain,
% 30.88/6.86 (( (product @ e_1 @ e_6 @ e_4)) <= (( (product @ e_1 @ e_6 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl98])).
% 30.88/6.86 thf('31', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_6 @ e_4)) | ~ ( (product @ e_4 @ e_1 @ e_2))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl20299, zip_derived_cl364])).
% 30.88/6.86 thf(zip_derived_cl481, plain,
% 30.88/6.86 (( (product @ e_1 @ e_6 @ e_5)) <= (( (product @ e_1 @ e_6 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl104])).
% 30.88/6.86 thf(zip_derived_cl108, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_5)) <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl118, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_5) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl490, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_6))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_1 @ e_6 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl481, zip_derived_cl118])).
% 30.88/6.86 thf(e_2_is_not_e_6, axiom, (~( equalish @ e_2 @ e_6 ))).
% 30.88/6.86 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_6])).
% 30.88/6.86 thf('32', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_6 @ e_5)) | ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl490, zip_derived_cl36])).
% 30.88/6.86 thf(zip_derived_cl817, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl4101, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_4) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl817, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1803, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_5)) <= (( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl247])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl1811, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1803, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl12207, plain,
% 30.88/6.86 ((( (equalish @ e_3 @ e_5) | ~ (product @ e_1 @ e_4 @ e_6)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_4)) & ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl4101, zip_derived_cl1811])).
% 30.88/6.86 thf(e_3_is_not_e_5, axiom, (~( equalish @ e_3 @ e_5 ))).
% 30.88/6.86 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl12232, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_4 @ e_6))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_4)) & ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl12207, zip_derived_cl40])).
% 30.88/6.86 thf(zip_derived_cl313, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_6)) <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf('33', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_4 @ e_6)) | ~ ( (product @ e_6 @ e_1 @ e_5)) |
% 30.88/6.86 ~ ( (product @ e_3 @ e_1 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl12232, zip_derived_cl313])).
% 30.88/6.86 thf(zip_derived_cl71, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_6 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_6 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_6 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_6 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_6 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_6 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.86 thf(zip_derived_cl241, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_6)
% 30.88/6.86 | (product @ e_6 @ e_1 @ e_5)
% 30.88/6.86 | (product @ e_6 @ e_1 @ e_4)
% 30.88/6.86 | (product @ e_6 @ e_1 @ e_3)
% 30.88/6.86 | (product @ e_6 @ e_1 @ e_2)
% 30.88/6.86 | (product @ e_6 @ e_1 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl21])).
% 30.88/6.86 thf(zip_derived_cl1647, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_4)) <= (( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl241])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl9927, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1647, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl22094, plain,
% 30.88/6.86 (((~ (product @ e_1 @ e_4 @ e_6) | (equalish @ e_4 @ e_1)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl9927, zip_derived_cl77])).
% 30.88/6.86 thf(e_4_is_not_e_1, axiom, (~( equalish @ e_4 @ e_1 ))).
% 30.88/6.86 thf(zip_derived_cl42, plain, (~ (equalish @ e_4 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 30.88/6.86 thf(zip_derived_cl22204, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_4 @ e_6)) <= (( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl22094, zip_derived_cl42])).
% 30.88/6.86 thf(zip_derived_cl313, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_6)) <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf('34', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl22204, zip_derived_cl313])).
% 30.88/6.86 thf(zip_derived_cl1649, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_2)) <= (( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl241])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl10060, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1649, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl537, plain,
% 30.88/6.86 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl121])).
% 30.88/6.86 thf(zip_derived_cl58, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X1 @ X3)
% 30.88/6.86 | (equalish @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_total_function2])).
% 30.88/6.86 thf(zip_derived_cl3262, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ e_1 @ X0) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_1 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl537, zip_derived_cl58])).
% 30.88/6.86 thf('35', plain, (( (product @ e_2 @ e_1 @ e_3))),
% 30.88/6.86 inference('sat_resolution*', [status(thm)],
% 30.88/6.86 ['3', '4', '5', '6', '7', '8'])).
% 30.88/6.86 thf(zip_derived_cl3343, plain,
% 30.88/6.86 (![X0 : $i]: (~ (product @ e_2 @ e_1 @ X0) | (equalish @ e_3 @ X0))),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl3262, '35'])).
% 30.88/6.86 thf(zip_derived_cl22489, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_6) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl10060, zip_derived_cl3343])).
% 30.88/6.86 thf(zip_derived_cl313, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_6)) <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf(zip_derived_cl22572, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_4))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_6)) & ( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl22489, zip_derived_cl313])).
% 30.88/6.86 thf(e_3_is_not_e_4, axiom, (~( equalish @ e_3 @ e_4 ))).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf('36', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_1 @ e_2)) | ~ ( (product @ e_1 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl22572, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl347, plain,
% 30.88/6.86 (( (product @ e_1 @ e_5 @ e_6)) <= (( (product @ e_1 @ e_5 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl97])).
% 30.88/6.86 thf(zip_derived_cl313, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_6)) <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl320, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_6) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl504, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_5))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_6)) & ( (product @ e_1 @ e_5 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl347, zip_derived_cl320])).
% 30.88/6.86 thf(e_4_is_not_e_5, axiom, (~( equalish @ e_4 @ e_5 ))).
% 30.88/6.86 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 30.88/6.86 thf('37', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_5 @ e_6)) | ~ ( (product @ e_1 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl504, zip_derived_cl45])).
% 30.88/6.86 thf(zip_derived_cl351, plain,
% 30.88/6.86 (( (product @ e_1 @ e_5 @ e_2)) <= (( (product @ e_1 @ e_5 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl97])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl2425, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_2) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_5 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl351, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl366, plain,
% 30.88/6.86 (( (product @ e_1 @ e_6 @ e_2)) <= (( (product @ e_1 @ e_6 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl98])).
% 30.88/6.86 thf(zip_derived_cl3110, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_6))
% 30.88/6.86 <= (( (product @ e_1 @ e_5 @ e_2)) & ( (product @ e_1 @ e_6 @ e_2)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl2425, zip_derived_cl366])).
% 30.88/6.86 thf(e_5_is_not_e_6, axiom, (~( equalish @ e_5 @ e_6 ))).
% 30.88/6.86 thf(zip_derived_cl51, plain, (~ (equalish @ e_5 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_6])).
% 30.88/6.86 thf('38', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_6 @ e_2)) | ~ ( (product @ e_1 @ e_5 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3110, zip_derived_cl51])).
% 30.88/6.86 thf(zip_derived_cl5985, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_2) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1078, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1811, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1803, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl12204, plain,
% 30.88/6.86 ((( (equalish @ e_4 @ e_5) | ~ (product @ e_1 @ e_2 @ e_6)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_2)) & ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl5985, zip_derived_cl1811])).
% 30.88/6.86 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl12229, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_6))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_2)) & ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl12204, zip_derived_cl45])).
% 30.88/6.86 thf(zip_derived_cl107, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_6)) <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('39', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_1 @ e_2)) | ~ ( (product @ e_6 @ e_1 @ e_5)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl12229, zip_derived_cl107])).
% 30.88/6.86 thf(zip_derived_cl1647, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_4)) <= (( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl241])).
% 30.88/6.86 thf(zip_derived_cl116, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl148, plain,
% 30.88/6.86 ((![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | ~ (product @ e_6 @ X1 @ X0)
% 30.88/6.86 | (equalish @ e_2 @ X1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl9931, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_4 @ e_1) | (equalish @ e_2 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1647, zip_derived_cl148])).
% 30.88/6.86 thf(zip_derived_cl32, plain, (~ (equalish @ e_2 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 30.88/6.86 thf(zip_derived_cl9945, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_4 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl9931, zip_derived_cl32])).
% 30.88/6.86 thf(zip_derived_cl67, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_4])).
% 30.88/6.86 thf(zip_derived_cl124, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_6)
% 30.88/6.86 | (product @ e_2 @ e_4 @ e_5)
% 30.88/6.86 | (product @ e_2 @ e_4 @ e_4)
% 30.88/6.86 | (product @ e_2 @ e_4 @ e_3)
% 30.88/6.86 | (product @ e_2 @ e_4 @ e_2)
% 30.88/6.86 | (product @ e_2 @ e_4 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl24])).
% 30.88/6.86 thf(zip_derived_cl591, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf('40', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_1 @ e_4)) | ~ ( (product @ e_2 @ e_4 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl9945, zip_derived_cl591])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl845, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_4)) <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl4339, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl845, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl19750, plain,
% 30.88/6.86 ((![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_3)
% 30.88/6.86 | ~ (product @ X1 @ e_2 @ X0)
% 30.88/6.86 | (equalish @ e_4 @ X1)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4339, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl20151, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_1) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl3988, zip_derived_cl19750])).
% 30.88/6.86 thf(zip_derived_cl67, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl25, plain, ( (group_element @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_5])).
% 30.88/6.86 thf(zip_derived_cl125, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_6)
% 30.88/6.86 | (product @ e_2 @ e_5 @ e_5)
% 30.88/6.86 | (product @ e_2 @ e_5 @ e_4)
% 30.88/6.86 | (product @ e_2 @ e_5 @ e_3)
% 30.88/6.86 | (product @ e_2 @ e_5 @ e_2)
% 30.88/6.86 | (product @ e_2 @ e_5 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl25])).
% 30.88/6.86 thf(zip_derived_cl617, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_1)) <= (( (product @ e_2 @ e_5 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl110, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl193, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_3 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl335, plain,
% 30.88/6.86 ((![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (product @ X0 @ e_2 @ X1)
% 30.88/6.86 | ~ (product @ e_2 @ X1 @ e_3)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl3780, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_2 @ e_5 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl617, zip_derived_cl335])).
% 30.88/6.86 thf(zip_derived_cl30246, plain,
% 30.88/6.86 ((( (equalish @ e_4 @ e_5) | ~ (product @ e_2 @ e_1 @ e_3)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) &
% 30.88/6.86 ( (product @ e_2 @ e_5 @ e_1)) &
% 30.88/6.86 ( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl20151, zip_derived_cl3780])).
% 30.88/6.86 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf('41', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_5 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_4)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_3))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl30246, zip_derived_cl45, zip_derived_cl3988])).
% 30.88/6.86 thf(zip_derived_cl20151, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_1) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl3988, zip_derived_cl19750])).
% 30.88/6.86 thf(zip_derived_cl67, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl26, plain, ( (group_element @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_6])).
% 30.88/6.86 thf(zip_derived_cl126, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_6)
% 30.88/6.86 | (product @ e_2 @ e_6 @ e_5)
% 30.88/6.86 | (product @ e_2 @ e_6 @ e_4)
% 30.88/6.86 | (product @ e_2 @ e_6 @ e_3)
% 30.88/6.86 | (product @ e_2 @ e_6 @ e_2)
% 30.88/6.86 | (product @ e_2 @ e_6 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl26])).
% 30.88/6.86 thf(zip_derived_cl636, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_1)) <= (( (product @ e_2 @ e_6 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl335, plain,
% 30.88/6.86 ((![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (product @ X0 @ e_2 @ X1)
% 30.88/6.86 | ~ (product @ e_2 @ X1 @ e_3)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl3928, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_2 @ e_6 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl636, zip_derived_cl335])).
% 30.88/6.86 thf(zip_derived_cl31798, plain,
% 30.88/6.86 ((( (equalish @ e_4 @ e_6) | ~ (product @ e_2 @ e_1 @ e_3)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) &
% 30.88/6.86 ( (product @ e_2 @ e_6 @ e_1)) &
% 30.88/6.86 ( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl20151, zip_derived_cl3928])).
% 30.88/6.86 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_6])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf('42', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_2 @ e_6 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_3 @ e_2 @ e_4))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl31798, zip_derived_cl46, zip_derived_cl3988])).
% 30.88/6.86 thf(zip_derived_cl636, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_1)) <= (( (product @ e_2 @ e_6 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl193, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_3 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl68, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_4])).
% 30.88/6.86 thf(zip_derived_cl161, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_6)
% 30.88/6.86 | (product @ e_3 @ e_4 @ e_5)
% 30.88/6.86 | (product @ e_3 @ e_4 @ e_4)
% 30.88/6.86 | (product @ e_3 @ e_4 @ e_3)
% 30.88/6.86 | (product @ e_3 @ e_4 @ e_2)
% 30.88/6.86 | (product @ e_3 @ e_4 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl24])).
% 30.88/6.86 thf(zip_derived_cl875, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_6)) <= (( (product @ e_3 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl161])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl882, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_6) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl875, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl1370, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_6 @ e_1) | (equalish @ e_4 @ e_2)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_3 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl882])).
% 30.88/6.86 thf(zip_derived_cl43, plain, (~ (equalish @ e_4 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl1374, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_6 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_3 @ e_4 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl1370, zip_derived_cl43])).
% 30.88/6.86 thf('43', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_4 @ e_6)) | ~ ( (product @ e_1 @ e_2 @ e_3)) |
% 30.88/6.86 ~ ( (product @ e_2 @ e_6 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl636, zip_derived_cl1374])).
% 30.88/6.86 thf(zip_derived_cl1679, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1670, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl110, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl192, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl10478, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_6) | (equalish @ e_1 @ e_4)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1679, zip_derived_cl192])).
% 30.88/6.86 thf(zip_derived_cl29, plain, (~ (equalish @ e_1 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl10613, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_6))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl10478, zip_derived_cl29])).
% 30.88/6.86 thf(zip_derived_cl67, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_3])).
% 30.88/6.86 thf(zip_derived_cl123, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_6)
% 30.88/6.86 | (product @ e_2 @ e_3 @ e_5)
% 30.88/6.86 | (product @ e_2 @ e_3 @ e_4)
% 30.88/6.86 | (product @ e_2 @ e_3 @ e_3)
% 30.88/6.86 | (product @ e_2 @ e_3 @ e_2)
% 30.88/6.86 | (product @ e_2 @ e_3 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl23])).
% 30.88/6.86 thf(zip_derived_cl562, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_6)) <= (( (product @ e_2 @ e_3 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf('44', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_2 @ e_4)) | ~ ( (product @ e_1 @ e_2 @ e_3)) |
% 30.88/6.86 ~ ( (product @ e_2 @ e_3 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl10613, zip_derived_cl562])).
% 30.88/6.86 thf(zip_derived_cl313, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_6)) <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf(zip_derived_cl107, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_6)) <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl114, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_6) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl323, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_4))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl114])).
% 30.88/6.86 thf(e_2_is_not_e_4, axiom, (~( equalish @ e_2 @ e_4 ))).
% 30.88/6.86 thf(zip_derived_cl34, plain, (~ (equalish @ e_2 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 30.88/6.86 thf('45', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_4 @ e_6)) | ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl323, zip_derived_cl34])).
% 30.88/6.86 thf(zip_derived_cl25, plain, ( (group_element @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_5])).
% 30.88/6.86 thf(zip_derived_cl69, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl186, plain,
% 30.88/6.86 (( (product @ e_4 @ e_5 @ e_1)
% 30.88/6.86 | (product @ e_4 @ e_5 @ e_2)
% 30.88/6.86 | (product @ e_4 @ e_5 @ e_3)
% 30.88/6.86 | (product @ e_4 @ e_5 @ e_4)
% 30.88/6.86 | (product @ e_4 @ e_5 @ e_5)
% 30.88/6.86 | (product @ e_4 @ e_5 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl69])).
% 30.88/6.86 thf(zip_derived_cl1272, plain,
% 30.88/6.86 (( (product @ e_4 @ e_5 @ e_5)) <= (( (product @ e_4 @ e_5 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl186])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1281, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_4)) <= (( (product @ e_4 @ e_5 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1272, zip_derived_cl82])).
% 30.88/6.86 thf(e_5_is_not_e_4, axiom, (~( equalish @ e_5 @ e_4 ))).
% 30.88/6.86 thf(zip_derived_cl50, plain, (~ (equalish @ e_5 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_4])).
% 30.88/6.86 thf('46', plain, (~ ( (product @ e_4 @ e_5 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1281, zip_derived_cl50])).
% 30.88/6.86 thf(zip_derived_cl69, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl25, plain, ( (group_element @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_5])).
% 30.88/6.86 thf(zip_derived_cl180, plain,
% 30.88/6.86 (( (product @ e_4 @ e_5 @ e_6)
% 30.88/6.86 | (product @ e_4 @ e_5 @ e_5)
% 30.88/6.86 | (product @ e_4 @ e_5 @ e_4)
% 30.88/6.86 | (product @ e_4 @ e_5 @ e_3)
% 30.88/6.86 | (product @ e_4 @ e_5 @ e_2)
% 30.88/6.86 | (product @ e_4 @ e_5 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl25])).
% 30.88/6.86 thf(zip_derived_cl1150, plain,
% 30.88/6.86 (( (product @ e_4 @ e_5 @ e_4)) <= (( (product @ e_4 @ e_5 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl180])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl6677, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_5)) <= (( (product @ e_4 @ e_5 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1150, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 30.88/6.86 thf('47', plain, (~ ( (product @ e_4 @ e_5 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl6677, zip_derived_cl45])).
% 30.88/6.86 thf(zip_derived_cl1153, plain,
% 30.88/6.86 (( (product @ e_4 @ e_5 @ e_1)) <= (( (product @ e_4 @ e_5 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl180])).
% 30.88/6.86 thf(zip_derived_cl322, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_4])).
% 30.88/6.86 thf(zip_derived_cl67, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl130, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_1)
% 30.88/6.86 | (product @ e_2 @ e_4 @ e_2)
% 30.88/6.86 | (product @ e_2 @ e_4 @ e_3)
% 30.88/6.86 | (product @ e_2 @ e_4 @ e_4)
% 30.88/6.86 | (product @ e_2 @ e_4 @ e_5)
% 30.88/6.86 | (product @ e_2 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl67])).
% 30.88/6.86 thf(zip_derived_cl702, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_5)) <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl709, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_5) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl702, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1207, plain,
% 30.88/6.86 (((~ (product @ e_4 @ e_5 @ e_1) | (equalish @ e_2 @ e_6)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_6)) & ( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl322, zip_derived_cl709])).
% 30.88/6.86 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_6])).
% 30.88/6.86 thf(zip_derived_cl1210, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_5 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_6)) & ( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl1207, zip_derived_cl36])).
% 30.88/6.86 thf('48', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_5 @ e_1)) | ~ ( (product @ e_1 @ e_4 @ e_6)) |
% 30.88/6.86 ~ ( (product @ e_2 @ e_4 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1153, zip_derived_cl1210])).
% 30.88/6.86 thf(zip_derived_cl1151, plain,
% 30.88/6.86 (( (product @ e_4 @ e_5 @ e_3)) <= (( (product @ e_4 @ e_5 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl180])).
% 30.88/6.86 thf(zip_derived_cl109, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl138, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl263, plain,
% 30.88/6.86 ((![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | ~ (product @ e_4 @ X1 @ X0)
% 30.88/6.86 | (equalish @ e_2 @ X1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl6697, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_1) | (equalish @ e_2 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_4 @ e_5 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1151, zip_derived_cl263])).
% 30.88/6.86 thf(e_2_is_not_e_5, axiom, (~( equalish @ e_2 @ e_5 ))).
% 30.88/6.86 thf(zip_derived_cl35, plain, (~ (equalish @ e_2 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl6705, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_4 @ e_5 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl6697, zip_derived_cl35])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf('49', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_5 @ e_3)) | ~ ( (product @ e_2 @ e_3 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl6705, zip_derived_cl567])).
% 30.88/6.86 thf('50', plain,
% 30.88/6.86 (( (product @ e_4 @ e_5 @ e_3)) | ( (product @ e_4 @ e_5 @ e_6)) |
% 30.88/6.86 ( (product @ e_4 @ e_5 @ e_5)) | ( (product @ e_4 @ e_5 @ e_4)) |
% 30.88/6.86 ( (product @ e_4 @ e_5 @ e_1)) | ( (product @ e_4 @ e_5 @ e_2))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl180])).
% 30.88/6.86 thf(zip_derived_cl1672, plain,
% 30.88/6.86 (( (product @ e_6 @ e_2 @ e_1)) <= (( (product @ e_6 @ e_2 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl242])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl10218, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_1) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1672, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl4339, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl845, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl19865, plain,
% 30.88/6.86 ((( (equalish @ e_6 @ e_4) | ~ (product @ e_2 @ e_1 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)) & ( (product @ e_6 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl10218, zip_derived_cl4339])).
% 30.88/6.86 thf(e_6_is_not_e_4, axiom, (~( equalish @ e_6 @ e_4 ))).
% 30.88/6.86 thf(zip_derived_cl55, plain, (~ (equalish @ e_6 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf('51', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_2 @ e_4)) | ~ ( (product @ e_6 @ e_2 @ e_1))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl19865, zip_derived_cl55, zip_derived_cl3988])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl120, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1836, plain,
% 30.88/6.86 (( (product @ e_6 @ e_2 @ e_3)) <= (( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl248])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl1843, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1836, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl2668, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_1) | (equalish @ e_6 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl120, zip_derived_cl1843])).
% 30.88/6.86 thf(e_6_is_not_e_5, axiom, (~( equalish @ e_6 @ e_5 ))).
% 30.88/6.86 thf(zip_derived_cl56, plain, (~ (equalish @ e_6 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl2674, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl2668, zip_derived_cl56])).
% 30.88/6.86 thf('52', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_1)) | ~ ( (product @ e_6 @ e_2 @ e_3)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl567, zip_derived_cl2674])).
% 30.88/6.86 thf(zip_derived_cl1679, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1670, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl108, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_5)) <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl119, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_5) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl10486, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_5 @ e_6) | (equalish @ e_1 @ e_4)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1679, zip_derived_cl119])).
% 30.88/6.86 thf(zip_derived_cl29, plain, (~ (equalish @ e_1 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl10621, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_5 @ e_6))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl10486, zip_derived_cl29])).
% 30.88/6.86 thf(zip_derived_cl612, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_6)) <= (( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf('53', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_2 @ e_4)) | ~ ( (product @ e_2 @ e_5 @ e_6)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl10621, zip_derived_cl612])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl138, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1843, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1836, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl2667, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_1) | (equalish @ e_6 @ e_4)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl138, zip_derived_cl1843])).
% 30.88/6.86 thf(zip_derived_cl55, plain, (~ (equalish @ e_6 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl2673, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl2667, zip_derived_cl55])).
% 30.88/6.86 thf('54', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_1)) | ~ ( (product @ e_1 @ e_2 @ e_4)) |
% 30.88/6.86 ~ ( (product @ e_6 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl567, zip_derived_cl2673])).
% 30.88/6.86 thf(zip_derived_cl1679, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1670, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.86 thf(zip_derived_cl68, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl165, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_1)
% 30.88/6.86 | (product @ e_3 @ e_2 @ e_2)
% 30.88/6.86 | (product @ e_3 @ e_2 @ e_3)
% 30.88/6.86 | (product @ e_3 @ e_2 @ e_4)
% 30.88/6.86 | (product @ e_3 @ e_2 @ e_5)
% 30.88/6.86 | (product @ e_3 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl68])).
% 30.88/6.86 thf(zip_derived_cl983, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_5)) <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl165])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl990, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_5) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl983, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl10487, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_5 @ e_6) | (equalish @ e_3 @ e_4)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)) & ( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1679, zip_derived_cl990])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl10622, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_5 @ e_6))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)) & ( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl10487, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl612, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_6)) <= (( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf('55', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_2 @ e_4)) | ~ ( (product @ e_2 @ e_5 @ e_6)) |
% 30.88/6.86 ~ ( (product @ e_3 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl10622, zip_derived_cl612])).
% 30.88/6.86 thf(zip_derived_cl1673, plain,
% 30.88/6.86 (( (product @ e_6 @ e_2 @ e_5)) <= (( (product @ e_6 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl242])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl10264, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1673, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl22680, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_5 @ e_6) | (equalish @ e_5 @ e_2)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl10264, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl48, plain, (~ (equalish @ e_5 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl22797, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_5 @ e_6)) <= (( (product @ e_6 @ e_2 @ e_5)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl22680, zip_derived_cl48])).
% 30.88/6.86 thf(zip_derived_cl612, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_6)) <= (( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf('56', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_2 @ e_5)) | ~ ( (product @ e_2 @ e_5 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl22797, zip_derived_cl612])).
% 30.88/6.86 thf(zip_derived_cl1148, plain,
% 30.88/6.86 (( (product @ e_4 @ e_5 @ e_6)) <= (( (product @ e_4 @ e_5 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl180])).
% 30.88/6.86 thf(zip_derived_cl612, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_6)) <= (( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl620, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_5 @ e_6) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl612, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1159, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_4))
% 30.88/6.86 <= (( (product @ e_2 @ e_5 @ e_6)) & ( (product @ e_4 @ e_5 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1148, zip_derived_cl620])).
% 30.88/6.86 thf(zip_derived_cl34, plain, (~ (equalish @ e_2 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 30.88/6.86 thf('57', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_5 @ e_6)) | ~ ( (product @ e_2 @ e_5 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1159, zip_derived_cl34])).
% 30.88/6.86 thf(zip_derived_cl1152, plain,
% 30.88/6.86 (( (product @ e_4 @ e_5 @ e_2)) <= (( (product @ e_4 @ e_5 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl180])).
% 30.88/6.86 thf(zip_derived_cl702, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_5)) <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl710, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_2)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl702, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl4115, plain,
% 30.88/6.86 (((~ (product @ e_4 @ e_5 @ e_2) | (equalish @ e_5 @ e_4)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl710, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl50, plain, (~ (equalish @ e_5 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl4189, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_5 @ e_2)) <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl4115, zip_derived_cl50])).
% 30.88/6.86 thf('58', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_5 @ e_2)) | ~ ( (product @ e_2 @ e_4 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1152, zip_derived_cl4189])).
% 30.88/6.86 thf(zip_derived_cl702, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_5)) <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 30.88/6.86 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_4])).
% 30.88/6.86 thf(zip_derived_cl66, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl102, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_1)
% 30.88/6.86 | (product @ e_1 @ e_4 @ e_2)
% 30.88/6.86 | (product @ e_1 @ e_4 @ e_3)
% 30.88/6.86 | (product @ e_1 @ e_4 @ e_4)
% 30.88/6.86 | (product @ e_1 @ e_4 @ e_5)
% 30.88/6.86 | (product @ e_1 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl66])).
% 30.88/6.86 thf(zip_derived_cl432, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_5)) <= (( (product @ e_1 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl102])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl439, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_5) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl432, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl714, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_2))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)) & ( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl702, zip_derived_cl439])).
% 30.88/6.86 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 30.88/6.86 thf('59', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_4 @ e_5)) | ~ ( (product @ e_2 @ e_4 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl714, zip_derived_cl27])).
% 30.88/6.86 thf(zip_derived_cl591, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl3460, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_1) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3602, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_4))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_1)) & ( (product @ e_2 @ e_4 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl591, zip_derived_cl3460])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf('60', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_1)) | ~ ( (product @ e_2 @ e_4 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3602, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl710, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_2)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl702, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl880, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_1)) <= (( (product @ e_3 @ e_4 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl161])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl4752, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_1) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_4 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl880, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl4981, plain,
% 30.88/6.86 (((~ (product @ e_4 @ e_1 @ e_2) | (equalish @ e_3 @ e_5)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)) & ( (product @ e_3 @ e_4 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl710, zip_derived_cl4752])).
% 30.88/6.86 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl4986, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_1 @ e_2))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)) & ( (product @ e_3 @ e_4 @ e_1)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl4981, zip_derived_cl40])).
% 30.88/6.86 thf(zip_derived_cl817, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl4102, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl817, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl24027, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_3))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)) &
% 30.88/6.86 ( (product @ e_3 @ e_1 @ e_4)) &
% 30.88/6.86 ( (product @ e_3 @ e_4 @ e_1)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl4986, zip_derived_cl4102])).
% 30.88/6.86 thf(zip_derived_cl110, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('61', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_4 @ e_1)) | ~ ( (product @ e_1 @ e_2 @ e_3)) |
% 30.88/6.86 ~ ( (product @ e_2 @ e_4 @ e_5)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl24027, zip_derived_cl110])).
% 30.88/6.86 thf(zip_derived_cl70, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.86 thf(zip_derived_cl219, plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_6)
% 30.88/6.86 | (product @ e_5 @ e_2 @ e_5)
% 30.88/6.86 | (product @ e_5 @ e_2 @ e_4)
% 30.88/6.86 | (product @ e_5 @ e_2 @ e_3)
% 30.88/6.86 | (product @ e_5 @ e_2 @ e_2)
% 30.88/6.86 | (product @ e_5 @ e_2 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl22])).
% 30.88/6.86 thf(zip_derived_cl1409, plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_4)) <= (( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl219])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl1418, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_5)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1409, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl8111, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_4 @ e_5) | (equalish @ e_4 @ e_2)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1418, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl43, plain, (~ (equalish @ e_4 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl8245, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_4 @ e_5)) <= (( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl8111, zip_derived_cl43])).
% 30.88/6.86 thf(zip_derived_cl702, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_5)) <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 30.88/6.86 thf('62', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_2 @ e_4)) | ~ ( (product @ e_2 @ e_4 @ e_5))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl8245, zip_derived_cl702])).
% 30.88/6.86 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_4])).
% 30.88/6.86 thf(zip_derived_cl68, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl167, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_1)
% 30.88/6.86 | (product @ e_3 @ e_4 @ e_2)
% 30.88/6.86 | (product @ e_3 @ e_4 @ e_3)
% 30.88/6.86 | (product @ e_3 @ e_4 @ e_4)
% 30.88/6.86 | (product @ e_3 @ e_4 @ e_5)
% 30.88/6.86 | (product @ e_3 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl68])).
% 30.88/6.86 thf(zip_derived_cl997, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_5)) <= (( (product @ e_3 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl167])).
% 30.88/6.86 thf(zip_derived_cl709, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_5) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl702, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1205, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_3))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)) & ( (product @ e_3 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl997, zip_derived_cl709])).
% 30.88/6.86 thf(zip_derived_cl33, plain, (~ (equalish @ e_2 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 30.88/6.86 thf('63', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_4 @ e_5)) | ~ ( (product @ e_2 @ e_4 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1205, zip_derived_cl33])).
% 30.88/6.86 thf(zip_derived_cl702, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_5)) <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 30.88/6.86 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_3])).
% 30.88/6.86 thf(zip_derived_cl67, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl129, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)
% 30.88/6.86 | (product @ e_2 @ e_3 @ e_2)
% 30.88/6.86 | (product @ e_2 @ e_3 @ e_3)
% 30.88/6.86 | (product @ e_2 @ e_3 @ e_4)
% 30.88/6.86 | (product @ e_2 @ e_3 @ e_5)
% 30.88/6.86 | (product @ e_2 @ e_3 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl67])).
% 30.88/6.86 thf(zip_derived_cl671, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_5)) <= (( (product @ e_2 @ e_3 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl129])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl677, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_5) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl671, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl1091, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_4))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_5)) & ( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl702, zip_derived_cl677])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf('64', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_5)) | ~ ( (product @ e_2 @ e_4 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1091, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl9927, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1647, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl586, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_6)) <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl595, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_2)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl4752, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_1) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_4 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl880, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl4983, plain,
% 30.88/6.86 (((~ (product @ e_4 @ e_1 @ e_2) | (equalish @ e_3 @ e_6)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)) & ( (product @ e_3 @ e_4 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl595, zip_derived_cl4752])).
% 30.88/6.86 thf(e_3_is_not_e_6, axiom, (~( equalish @ e_3 @ e_6 ))).
% 30.88/6.86 thf(zip_derived_cl41, plain, (~ (equalish @ e_3 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_6])).
% 30.88/6.86 thf(zip_derived_cl4988, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_1 @ e_2))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)) & ( (product @ e_3 @ e_4 @ e_1)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl4983, zip_derived_cl41])).
% 30.88/6.86 thf(zip_derived_cl24041, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_6))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)) &
% 30.88/6.86 ( (product @ e_3 @ e_4 @ e_1)) &
% 30.88/6.86 ( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl9927, zip_derived_cl4988])).
% 30.88/6.86 thf(zip_derived_cl107, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_6)) <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('65', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_1 @ e_4)) | ~ ( (product @ e_3 @ e_4 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_2 @ e_4 @ e_6)) | ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl24041, zip_derived_cl107])).
% 30.88/6.86 thf(zip_derived_cl1811, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1803, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl612, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_6)) <= (( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl621, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_5 @ X0) | ~ (product @ e_5 @ X0 @ e_2)))
% 30.88/6.86 <= (( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl612, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl489, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_6 @ X0) | ~ (product @ e_6 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_6 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl481, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl975, plain,
% 30.88/6.86 (((~ (product @ e_5 @ e_1 @ e_2) | (product @ e_5 @ e_6 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_6 @ e_5)) & ( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl621, zip_derived_cl489])).
% 30.88/6.86 thf(zip_derived_cl5629, plain,
% 30.88/6.86 ((~ (product @ e_5 @ e_1 @ e_2)) <= (~ ( (product @ e_5 @ e_1 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl975])).
% 30.88/6.86 thf(zip_derived_cl12202, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_6))
% 30.88/6.86 <= (~ ( (product @ e_5 @ e_1 @ e_2)) & ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1811, zip_derived_cl5629])).
% 30.88/6.86 thf(zip_derived_cl107, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_6)) <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('66', plain,
% 30.88/6.86 (( (product @ e_5 @ e_1 @ e_2)) | ~ ( (product @ e_6 @ e_1 @ e_5)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl12202, zip_derived_cl107])).
% 30.88/6.86 thf(zip_derived_cl432, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_5)) <= (( (product @ e_1 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl102])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl440, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl432, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl879, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_2)) <= (( (product @ e_3 @ e_4 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl161])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl4712, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_2) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_4 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl879, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl4804, plain,
% 30.88/6.86 (((~ (product @ e_4 @ e_2 @ e_1) | (equalish @ e_3 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)) & ( (product @ e_3 @ e_4 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl440, zip_derived_cl4712])).
% 30.88/6.86 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl4808, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_2 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)) & ( (product @ e_3 @ e_4 @ e_2)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl4804, zip_derived_cl40])).
% 30.88/6.86 thf(zip_derived_cl69, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.86 thf(zip_derived_cl177, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_6)
% 30.88/6.86 | (product @ e_4 @ e_2 @ e_5)
% 30.88/6.86 | (product @ e_4 @ e_2 @ e_4)
% 30.88/6.86 | (product @ e_4 @ e_2 @ e_3)
% 30.88/6.86 | (product @ e_4 @ e_2 @ e_2)
% 30.88/6.86 | (product @ e_4 @ e_2 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl22])).
% 30.88/6.86 thf(zip_derived_cl1105, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_1)) <= (( (product @ e_4 @ e_2 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf('67', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_4 @ e_5)) | ~ ( (product @ e_3 @ e_4 @ e_2)) |
% 30.88/6.86 ~ ( (product @ e_4 @ e_2 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl4808, zip_derived_cl1105])).
% 30.88/6.86 thf(zip_derived_cl4339, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl845, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl621, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_5 @ X0) | ~ (product @ e_5 @ X0 @ e_2)))
% 30.88/6.86 <= (( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl612, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl148, plain,
% 30.88/6.86 ((![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | ~ (product @ e_6 @ X1 @ X0)
% 30.88/6.86 | (equalish @ e_2 @ X1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl974, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 (~ (product @ e_5 @ X0 @ e_2)
% 30.88/6.86 | ~ (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (equalish @ e_2 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl621, zip_derived_cl148])).
% 30.88/6.86 thf(zip_derived_cl35, plain, (~ (equalish @ e_2 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl979, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 (~ (product @ e_5 @ X0 @ e_2) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl974, zip_derived_cl35])).
% 30.88/6.86 thf(zip_derived_cl440, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl432, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1784, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_4 @ e_1) | ~ (product @ e_4 @ e_2 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) &
% 30.88/6.86 ( (product @ e_1 @ e_4 @ e_5)) &
% 30.88/6.86 ( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl979, zip_derived_cl440])).
% 30.88/6.86 thf(zip_derived_cl1827, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_2 @ e_1)) <= (~ ( (product @ e_4 @ e_2 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl1784])).
% 30.88/6.86 thf(zip_derived_cl19843, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_1 @ e_3))
% 30.88/6.86 <= (~ ( (product @ e_4 @ e_2 @ e_1)) & ( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl4339, zip_derived_cl1827])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf('68', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_2 @ e_4)) | ( (product @ e_4 @ e_2 @ e_1))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl19843, zip_derived_cl3988])).
% 30.88/6.86 thf(zip_derived_cl10060, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1649, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl22407, plain,
% 30.88/6.86 (((~ (product @ e_1 @ e_2 @ e_6) | (equalish @ e_2 @ e_1)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl10060, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl32, plain, (~ (equalish @ e_2 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 30.88/6.86 thf(zip_derived_cl22515, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_6)) <= (( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl22407, zip_derived_cl32])).
% 30.88/6.86 thf(zip_derived_cl107, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_6)) <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('69', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_1 @ e_2)) | ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl22515, zip_derived_cl107])).
% 30.88/6.86 thf(zip_derived_cl1103, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_3)) <= (( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl6142, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_3 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1103, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl20492, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_4) | (equalish @ e_3 @ e_2)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl6142, zip_derived_cl77])).
% 30.88/6.86 thf(e_3_is_not_e_2, axiom, (~( equalish @ e_3 @ e_2 ))).
% 30.88/6.86 thf(zip_derived_cl38, plain, (~ (equalish @ e_3 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl20621, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_4)) <= (( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl20492, zip_derived_cl38])).
% 30.88/6.86 thf(zip_derived_cl564, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_4)) <= (( (product @ e_2 @ e_3 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf('70', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_4)) | ~ ( (product @ e_4 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl20621, zip_derived_cl564])).
% 30.88/6.86 thf(zip_derived_cl617, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_1)) <= (( (product @ e_2 @ e_5 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl116, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl990, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_5) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl983, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1564, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_5 @ e_1) | (equalish @ e_3 @ e_6)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl990])).
% 30.88/6.86 thf(zip_derived_cl41, plain, (~ (equalish @ e_3 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_6])).
% 30.88/6.86 thf(zip_derived_cl1568, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_5 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl1564, zip_derived_cl41])).
% 30.88/6.86 thf('71', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_5 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_5)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl617, zip_derived_cl1568])).
% 30.88/6.86 thf(zip_derived_cl636, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_1)) <= (( (product @ e_2 @ e_6 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl116, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl151, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_6 @ e_1) | (equalish @ e_6 @ e_2)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl77])).
% 30.88/6.86 thf(e_6_is_not_e_2, axiom, (~( equalish @ e_6 @ e_2 ))).
% 30.88/6.86 thf(zip_derived_cl53, plain, (~ (equalish @ e_6 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl154, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_6 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl53])).
% 30.88/6.86 thf('72', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_6 @ e_1)) | ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl636, zip_derived_cl154])).
% 30.88/6.86 thf(zip_derived_cl1645, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_6)) <= (( (product @ e_6 @ e_1 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl241])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl1655, plain,
% 30.88/6.86 (( (equalish @ e_6 @ e_1)) <= (( (product @ e_6 @ e_1 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1645, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl52, plain, (~ (equalish @ e_6 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_1])).
% 30.88/6.86 thf('73', plain, (~ ( (product @ e_6 @ e_1 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1655, zip_derived_cl52])).
% 30.88/6.86 thf(zip_derived_cl1648, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_3)) <= (( (product @ e_6 @ e_1 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl241])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl9961, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_3) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1648, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl10245, plain,
% 30.88/6.86 (( (equalish @ e_6 @ e_2)) <= (( (product @ e_6 @ e_1 @ e_3)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl9961, zip_derived_cl3988])).
% 30.88/6.86 thf(zip_derived_cl53, plain, (~ (equalish @ e_6 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_2])).
% 30.88/6.86 thf('74', plain, (~ ( (product @ e_6 @ e_1 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl10245, zip_derived_cl53])).
% 30.88/6.86 thf(zip_derived_cl1650, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_1)) <= (( (product @ e_6 @ e_1 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl241])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl10109, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_6)) <= (( (product @ e_6 @ e_1 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1650, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl31, plain, (~ (equalish @ e_1 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_6])).
% 30.88/6.86 thf('75', plain, (~ ( (product @ e_6 @ e_1 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl10109, zip_derived_cl31])).
% 30.88/6.86 thf(zip_derived_cl7745, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_5)))
% 30.88/6.86 <= (( (product @ e_5 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1380, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl3343, plain,
% 30.88/6.86 (![X0 : $i]: (~ (product @ e_2 @ e_1 @ X0) | (equalish @ e_3 @ X0))),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl3262, '35'])).
% 30.88/6.86 thf(zip_derived_cl21166, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_5) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_5 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl7745, zip_derived_cl3343])).
% 30.88/6.86 thf(zip_derived_cl432, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_5)) <= (( (product @ e_1 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl102])).
% 30.88/6.86 thf(zip_derived_cl21252, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_4))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)) & ( (product @ e_5 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl21166, zip_derived_cl432])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf('76', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_4 @ e_5)) | ~ ( (product @ e_5 @ e_1 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl21252, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.86 thf(zip_derived_cl69, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl182, plain,
% 30.88/6.86 (( (product @ e_4 @ e_1 @ e_1)
% 30.88/6.86 | (product @ e_4 @ e_1 @ e_2)
% 30.88/6.86 | (product @ e_4 @ e_1 @ e_3)
% 30.88/6.86 | (product @ e_4 @ e_1 @ e_4)
% 30.88/6.86 | (product @ e_4 @ e_1 @ e_5)
% 30.88/6.86 | (product @ e_4 @ e_1 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl69])).
% 30.88/6.86 thf(zip_derived_cl1186, plain,
% 30.88/6.86 (( (product @ e_4 @ e_1 @ e_5)) <= (( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl182])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl1194, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1186, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1649, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_2)) <= (( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl241])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl10059, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_2) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1649, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl10458, plain,
% 30.88/6.86 (((~ (product @ e_1 @ e_2 @ e_4) | (equalish @ e_6 @ e_5)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)) & ( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1194, zip_derived_cl10059])).
% 30.88/6.86 thf(zip_derived_cl56, plain, (~ (equalish @ e_6 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl10462, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_4))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)) & ( (product @ e_6 @ e_1 @ e_2)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl10458, zip_derived_cl56])).
% 30.88/6.86 thf(zip_derived_cl109, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('77', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_1 @ e_2)) | ~ ( (product @ e_4 @ e_1 @ e_5)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl10462, zip_derived_cl109])).
% 30.88/6.86 thf(zip_derived_cl1803, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_5)) <= (( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl247])).
% 30.88/6.86 thf(zip_derived_cl1186, plain,
% 30.88/6.86 (( (product @ e_4 @ e_1 @ e_5)) <= (( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl182])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl1193, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_5) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1186, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl2027, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_6))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)) & ( (product @ e_6 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1803, zip_derived_cl1193])).
% 30.88/6.86 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_6])).
% 30.88/6.86 thf('78', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_1 @ e_5)) | ~ ( (product @ e_6 @ e_1 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl2027, zip_derived_cl46])).
% 30.88/6.86 thf(zip_derived_cl1194, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1186, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl5629, plain,
% 30.88/6.86 ((~ (product @ e_5 @ e_1 @ e_2)) <= (~ ( (product @ e_5 @ e_1 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl975])).
% 30.88/6.86 thf(zip_derived_cl7240, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_4))
% 30.88/6.86 <= (~ ( (product @ e_5 @ e_1 @ e_2)) & ( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1194, zip_derived_cl5629])).
% 30.88/6.86 thf(zip_derived_cl109, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('79', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_1 @ e_5)) | ~ ( (product @ e_1 @ e_2 @ e_4)) |
% 30.88/6.86 ( (product @ e_5 @ e_1 @ e_2))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl7240, zip_derived_cl109])).
% 30.88/6.86 thf(zip_derived_cl1647, plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_4)) <= (( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl241])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl9926, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_4) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1647, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl3992, plain,
% 30.88/6.86 (![X0 : $i]: ( (product @ e_3 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3988, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl32230, plain,
% 30.88/6.86 ((( (equalish @ e_6 @ e_3) | ~ (product @ e_1 @ e_4 @ e_2)))
% 30.88/6.86 <= (( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl9926, zip_derived_cl3992])).
% 30.88/6.86 thf(e_6_is_not_e_3, axiom, (~( equalish @ e_6 @ e_3 ))).
% 30.88/6.86 thf(zip_derived_cl54, plain, (~ (equalish @ e_6 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_3])).
% 30.88/6.86 thf(zip_derived_cl32295, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_6 @ e_1 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl32230, zip_derived_cl54])).
% 30.88/6.86 thf(zip_derived_cl317, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_1 @ e_4 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf('80', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_2))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl32295, zip_derived_cl317])).
% 30.88/6.86 thf(zip_derived_cl4808, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_2 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)) & ( (product @ e_3 @ e_4 @ e_2)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl4804, zip_derived_cl40])).
% 30.88/6.86 thf(zip_derived_cl4339, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl845, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl19904, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_1 @ e_3))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)) &
% 30.88/6.86 ( (product @ e_3 @ e_2 @ e_4)) &
% 30.88/6.86 ( (product @ e_3 @ e_4 @ e_2)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl4808, zip_derived_cl4339])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf('81', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_4 @ e_5)) | ~ ( (product @ e_3 @ e_4 @ e_2)) |
% 30.88/6.86 ~ ( (product @ e_3 @ e_2 @ e_4))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl19904, zip_derived_cl3988])).
% 30.88/6.86 thf(zip_derived_cl997, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_5)) <= (( (product @ e_3 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl167])).
% 30.88/6.86 thf(zip_derived_cl439, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_5) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl432, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1006, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_3))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)) & ( (product @ e_3 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl997, zip_derived_cl439])).
% 30.88/6.86 thf(zip_derived_cl28, plain, (~ (equalish @ e_1 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 30.88/6.86 thf('82', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_4 @ e_5)) | ~ ( (product @ e_1 @ e_4 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1006, zip_derived_cl28])).
% 30.88/6.86 thf(zip_derived_cl1418, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_5)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1409, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl192, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl8116, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_5) | (equalish @ e_1 @ e_4)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1418, zip_derived_cl192])).
% 30.88/6.86 thf(zip_derived_cl29, plain, (~ (equalish @ e_1 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl8249, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_5))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl8116, zip_derived_cl29])).
% 30.88/6.86 thf(zip_derived_cl671, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_5)) <= (( (product @ e_2 @ e_3 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl129])).
% 30.88/6.86 thf('83', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_2 @ e_4)) | ~ ( (product @ e_1 @ e_2 @ e_3)) |
% 30.88/6.86 ~ ( (product @ e_2 @ e_3 @ e_5))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl8249, zip_derived_cl671])).
% 30.88/6.86 thf(zip_derived_cl617, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_1)) <= (( (product @ e_2 @ e_5 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl843, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_6)) <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.86 thf(zip_derived_cl58, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X1 @ X3)
% 30.88/6.86 | (equalish @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_total_function2])).
% 30.88/6.86 thf(zip_derived_cl849, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_3 @ e_2 @ X0) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl58])).
% 30.88/6.86 thf(zip_derived_cl193, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_3 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1300, plain,
% 30.88/6.86 ((![X0 : $i]: ( (equalish @ e_6 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl193])).
% 30.88/6.86 thf(zip_derived_cl3781, plain,
% 30.88/6.86 (( (equalish @ e_6 @ e_5))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) &
% 30.88/6.86 ( (product @ e_2 @ e_5 @ e_1)) &
% 30.88/6.86 ( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl617, zip_derived_cl1300])).
% 30.88/6.86 thf(zip_derived_cl56, plain, (~ (equalish @ e_6 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_5])).
% 30.88/6.86 thf('84', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_5 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_6)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3781, zip_derived_cl56])).
% 30.88/6.86 thf(zip_derived_cl193, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_3 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1412, plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_6)) <= (( (product @ e_5 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl219])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl7940, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_6) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1412, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl8721, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_6 @ e_1) | (equalish @ e_5 @ e_3)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_5 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl193, zip_derived_cl7940])).
% 30.88/6.86 thf(zip_derived_cl49, plain, (~ (equalish @ e_5 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_3])).
% 30.88/6.86 thf(zip_derived_cl8733, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_6 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_5 @ e_2 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl8721, zip_derived_cl49])).
% 30.88/6.86 thf(zip_derived_cl636, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_1)) <= (( (product @ e_2 @ e_6 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf('85', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_2 @ e_6)) | ~ ( (product @ e_1 @ e_2 @ e_3)) |
% 30.88/6.86 ~ ( (product @ e_2 @ e_6 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl8733, zip_derived_cl636])).
% 30.88/6.86 thf(zip_derived_cl591, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl983, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_5)) <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl165])).
% 30.88/6.86 thf(zip_derived_cl58, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X1 @ X3)
% 30.88/6.86 | (equalish @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_total_function2])).
% 30.88/6.86 thf(zip_derived_cl988, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_3 @ e_2 @ X0) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl983, zip_derived_cl58])).
% 30.88/6.86 thf(zip_derived_cl193, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_3 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1482, plain,
% 30.88/6.86 ((![X0 : $i]: ( (equalish @ e_5 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl988, zip_derived_cl193])).
% 30.88/6.86 thf(zip_derived_cl3598, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_4))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) &
% 30.88/6.86 ( (product @ e_2 @ e_4 @ e_1)) &
% 30.88/6.86 ( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl591, zip_derived_cl1482])).
% 30.88/6.86 thf(zip_derived_cl50, plain, (~ (equalish @ e_5 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_4])).
% 30.88/6.86 thf('86', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_2 @ e_4 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_3 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3598, zip_derived_cl50])).
% 30.88/6.86 thf(zip_derived_cl636, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_1)) <= (( (product @ e_2 @ e_6 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl1482, plain,
% 30.88/6.86 ((![X0 : $i]: ( (equalish @ e_5 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl988, zip_derived_cl193])).
% 30.88/6.86 thf(zip_derived_cl3930, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_6))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) &
% 30.88/6.86 ( (product @ e_2 @ e_6 @ e_1)) &
% 30.88/6.86 ( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl636, zip_derived_cl1482])).
% 30.88/6.86 thf(zip_derived_cl51, plain, (~ (equalish @ e_5 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_6])).
% 30.88/6.86 thf('87', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_2 @ e_6 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_3 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3930, zip_derived_cl51])).
% 30.88/6.86 thf(zip_derived_cl193, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_3 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1673, plain,
% 30.88/6.86 (( (product @ e_6 @ e_2 @ e_5)) <= (( (product @ e_6 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl242])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl10263, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_5) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1673, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl11025, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_5 @ e_1) | (equalish @ e_6 @ e_3)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_6 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl193, zip_derived_cl10263])).
% 30.88/6.86 thf(zip_derived_cl54, plain, (~ (equalish @ e_6 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_3])).
% 30.88/6.86 thf(zip_derived_cl11040, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_5 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_6 @ e_2 @ e_5)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl11025, zip_derived_cl54])).
% 30.88/6.86 thf(zip_derived_cl617, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_1)) <= (( (product @ e_2 @ e_5 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf('88', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_5 @ e_1)) | ~ ( (product @ e_6 @ e_2 @ e_5)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl11040, zip_derived_cl617])).
% 30.88/6.86 thf(zip_derived_cl564, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_4)) <= (( (product @ e_2 @ e_3 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl3387, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_3 @ X0) | ~ (product @ e_3 @ X0 @ e_2)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl18829, plain,
% 30.88/6.86 (((~ (product @ e_3 @ e_4 @ e_2) | (equalish @ e_4 @ e_3)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3387, zip_derived_cl77])).
% 30.88/6.86 thf(e_4_is_not_e_3, axiom, (~( equalish @ e_4 @ e_3 ))).
% 30.88/6.86 thf(zip_derived_cl44, plain, (~ (equalish @ e_4 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 30.88/6.86 thf(zip_derived_cl18991, plain,
% 30.88/6.86 ((~ (product @ e_3 @ e_4 @ e_2)) <= (( (product @ e_2 @ e_3 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl18829, zip_derived_cl44])).
% 30.88/6.86 thf(zip_derived_cl879, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_2)) <= (( (product @ e_3 @ e_4 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl161])).
% 30.88/6.86 thf('89', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_4 @ e_2)) | ~ ( (product @ e_2 @ e_3 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl18991, zip_derived_cl879])).
% 30.88/6.86 thf('90', plain,
% 30.88/6.86 (( (product @ e_6 @ e_2 @ e_3)) | ( (product @ e_6 @ e_2 @ e_5)) |
% 30.88/6.86 ( (product @ e_6 @ e_2 @ e_1)) | ( (product @ e_6 @ e_2 @ e_4)) |
% 30.88/6.86 ( (product @ e_6 @ e_2 @ e_2)) | ( (product @ e_6 @ e_2 @ e_6))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl242])).
% 30.88/6.86 thf(zip_derived_cl1674, plain,
% 30.88/6.86 (( (product @ e_6 @ e_2 @ e_2)) <= (( (product @ e_6 @ e_2 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl242])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl10376, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_6)) <= (( (product @ e_6 @ e_2 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1674, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_6])).
% 30.88/6.86 thf('91', plain, (~ ( (product @ e_6 @ e_2 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl10376, zip_derived_cl36])).
% 30.88/6.86 thf(zip_derived_cl1675, plain,
% 30.88/6.86 (( (product @ e_6 @ e_2 @ e_6)) <= (( (product @ e_6 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl242])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl10418, plain,
% 30.88/6.86 (( (equalish @ e_6 @ e_2)) <= (( (product @ e_6 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1675, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl53, plain, (~ (equalish @ e_6 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_2])).
% 30.88/6.86 thf('92', plain, (~ ( (product @ e_6 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl10418, zip_derived_cl53])).
% 30.88/6.86 thf(zip_derived_cl877, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_4)) <= (( (product @ e_3 @ e_4 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl161])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl4678, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_3)) <= (( (product @ e_3 @ e_4 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl877, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl44, plain, (~ (equalish @ e_4 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 30.88/6.86 thf('93', plain, (~ ( (product @ e_3 @ e_4 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4678, zip_derived_cl44])).
% 30.88/6.86 thf(zip_derived_cl878, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_3)) <= (( (product @ e_3 @ e_4 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl161])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl4695, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_4)) <= (( (product @ e_3 @ e_4 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl878, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf('94', plain, (~ ( (product @ e_3 @ e_4 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4695, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl983, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_5)) <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl165])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl991, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl983, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl10218, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_1) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1672, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl10795, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_1 @ e_3) | (equalish @ e_6 @ e_5)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)) & ( (product @ e_6 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl991, zip_derived_cl10218])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl56, plain, (~ (equalish @ e_6 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_5])).
% 30.88/6.86 thf('95', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_2 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_5))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl10795, zip_derived_cl3988, zip_derived_cl56])).
% 30.88/6.86 thf(zip_derived_cl997, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_5)) <= (( (product @ e_3 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl167])).
% 30.88/6.86 thf(zip_derived_cl983, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_5)) <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl165])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl989, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_5) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl983, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl1548, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_4))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)) & ( (product @ e_3 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl997, zip_derived_cl989])).
% 30.88/6.86 thf(zip_derived_cl34, plain, (~ (equalish @ e_2 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 30.88/6.86 thf('96', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_4 @ e_5)) | ~ ( (product @ e_3 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1548, zip_derived_cl34])).
% 30.88/6.86 thf(zip_derived_cl4988, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_1 @ e_2))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)) & ( (product @ e_3 @ e_4 @ e_1)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl4983, zip_derived_cl41])).
% 30.88/6.86 thf(zip_derived_cl4102, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl817, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl24037, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_3))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)) &
% 30.88/6.86 ( (product @ e_3 @ e_1 @ e_4)) &
% 30.88/6.86 ( (product @ e_3 @ e_4 @ e_1)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl4988, zip_derived_cl4102])).
% 30.88/6.86 thf(zip_derived_cl110, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('97', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_4 @ e_6)) | ~ ( (product @ e_3 @ e_1 @ e_4)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_3 @ e_4 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl24037, zip_derived_cl110])).
% 30.88/6.86 thf('98', plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_1)) | ( (product @ e_3 @ e_4 @ e_2)) |
% 30.88/6.86 ( (product @ e_3 @ e_4 @ e_4)) | ( (product @ e_3 @ e_4 @ e_3)) |
% 30.88/6.86 ( (product @ e_3 @ e_4 @ e_6)) | ( (product @ e_3 @ e_4 @ e_5))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl161])).
% 30.88/6.86 thf(zip_derived_cl565, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_3)) <= (( (product @ e_2 @ e_3 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl3436, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_2)) <= (( (product @ e_2 @ e_3 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl565, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl38, plain, (~ (equalish @ e_3 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 30.88/6.86 thf('99', plain, (~ ( (product @ e_2 @ e_3 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3436, zip_derived_cl38])).
% 30.88/6.86 thf(zip_derived_cl566, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_2)) <= (( (product @ e_2 @ e_3 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3448, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_3)) <= (( (product @ e_2 @ e_3 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl566, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl33, plain, (~ (equalish @ e_2 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 30.88/6.86 thf('100', plain, (~ ( (product @ e_2 @ e_3 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3448, zip_derived_cl33])).
% 30.88/6.86 thf(zip_derived_cl614, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_4)) <= (( (product @ e_2 @ e_5 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl564, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_4)) <= (( (product @ e_2 @ e_3 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl3385, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_4) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3715, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_5))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_4)) & ( (product @ e_2 @ e_5 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl614, zip_derived_cl3385])).
% 30.88/6.86 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 30.88/6.86 thf('101', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_5 @ e_4)) | ~ ( (product @ e_2 @ e_3 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3715, zip_derived_cl40])).
% 30.88/6.86 thf(zip_derived_cl636, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_1)) <= (( (product @ e_2 @ e_6 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl120, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl843, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_6)) <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl851, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_6) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1348, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_6 @ e_1) | (equalish @ e_3 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl851])).
% 30.88/6.86 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl1352, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_6 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl1348, zip_derived_cl40])).
% 30.88/6.86 thf('102', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_6 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_6)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl636, zip_derived_cl1352])).
% 30.88/6.86 thf(zip_derived_cl26, plain, ( (group_element @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_6])).
% 30.88/6.86 thf(zip_derived_cl67, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl132, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_1)
% 30.88/6.86 | (product @ e_2 @ e_6 @ e_2)
% 30.88/6.86 | (product @ e_2 @ e_6 @ e_3)
% 30.88/6.86 | (product @ e_2 @ e_6 @ e_4)
% 30.88/6.86 | (product @ e_2 @ e_6 @ e_5)
% 30.88/6.86 | (product @ e_2 @ e_6 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl67])).
% 30.88/6.86 thf(zip_derived_cl742, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_5)) <= (( (product @ e_2 @ e_6 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 30.88/6.86 thf(zip_derived_cl677, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_5) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl671, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl1092, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_6))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_5)) & ( (product @ e_2 @ e_6 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl742, zip_derived_cl677])).
% 30.88/6.86 thf(zip_derived_cl41, plain, (~ (equalish @ e_3 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_6])).
% 30.88/6.86 thf('103', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_6 @ e_5)) | ~ ( (product @ e_2 @ e_3 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1092, zip_derived_cl41])).
% 30.88/6.86 thf(zip_derived_cl1418, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_5)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1409, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl107, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_6)) <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl115, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_6) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl8127, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_6 @ e_5) | (equalish @ e_1 @ e_4)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1418, zip_derived_cl115])).
% 30.88/6.86 thf(zip_derived_cl29, plain, (~ (equalish @ e_1 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl8260, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_6 @ e_5))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl8127, zip_derived_cl29])).
% 30.88/6.86 thf(zip_derived_cl742, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_5)) <= (( (product @ e_2 @ e_6 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 30.88/6.86 thf('104', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_2 @ e_4)) | ~ ( (product @ e_2 @ e_6 @ e_5)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl8260, zip_derived_cl742])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl116, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.86 thf(zip_derived_cl70, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl225, plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_1)
% 30.88/6.86 | (product @ e_5 @ e_2 @ e_2)
% 30.88/6.86 | (product @ e_5 @ e_2 @ e_3)
% 30.88/6.86 | (product @ e_5 @ e_2 @ e_4)
% 30.88/6.86 | (product @ e_5 @ e_2 @ e_5)
% 30.88/6.86 | (product @ e_5 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl70])).
% 30.88/6.86 thf(zip_derived_cl1531, plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_3)) <= (( (product @ e_5 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl225])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl1538, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1531, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl2476, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_1) | (equalish @ e_5 @ e_6)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_5 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl116, zip_derived_cl1538])).
% 30.88/6.86 thf(zip_derived_cl51, plain, (~ (equalish @ e_5 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_6])).
% 30.88/6.86 thf(zip_derived_cl2481, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_5 @ e_2 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl2476, zip_derived_cl51])).
% 30.88/6.86 thf('105', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_2 @ e_3)) | ~ ( (product @ e_2 @ e_3 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl567, zip_derived_cl2481])).
% 30.88/6.86 thf(zip_derived_cl997, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_5)) <= (( (product @ e_3 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl167])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl1005, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl997, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl979, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 (~ (product @ e_5 @ X0 @ e_2) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl974, zip_derived_cl35])).
% 30.88/6.86 thf(zip_derived_cl5776, plain,
% 30.88/6.86 (((~ (product @ e_4 @ e_2 @ e_3) | ~ (product @ e_2 @ e_4 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) &
% 30.88/6.86 ( (product @ e_2 @ e_5 @ e_6)) &
% 30.88/6.86 ( (product @ e_3 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1005, zip_derived_cl979])).
% 30.88/6.86 thf(zip_derived_cl6413, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_2 @ e_3)) <= (~ ( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl5776])).
% 30.88/6.86 thf(zip_derived_cl138, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl6415, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_1))
% 30.88/6.86 <= (~ ( (product @ e_4 @ e_2 @ e_3)) & ( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl6413, zip_derived_cl138])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf('106', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_1)) | ~ ( (product @ e_1 @ e_2 @ e_4)) |
% 30.88/6.86 ( (product @ e_4 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl6415, zip_derived_cl567])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl4339, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl845, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl58, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X1 @ X3)
% 30.88/6.86 | (equalish @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_total_function2])).
% 30.88/6.86 thf(zip_derived_cl19748, plain,
% 30.88/6.86 ((![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_3)
% 30.88/6.86 | ~ (product @ e_4 @ e_2 @ X1)
% 30.88/6.86 | (equalish @ X0 @ X1)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4339, zip_derived_cl58])).
% 30.88/6.86 thf(zip_derived_cl20018, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_4 @ e_2 @ X0) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl3988, zip_derived_cl19748])).
% 30.88/6.86 thf(zip_derived_cl1103, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_3)) <= (( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl20025, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_3))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)) & ( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl20018, zip_derived_cl1103])).
% 30.88/6.86 thf(zip_derived_cl28, plain, (~ (equalish @ e_1 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 30.88/6.86 thf('107', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_2 @ e_4)) | ~ ( (product @ e_4 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl20025, zip_derived_cl28])).
% 30.88/6.86 thf(zip_derived_cl1411, plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_1)) <= (( (product @ e_5 @ e_2 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl219])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl7902, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_1) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1411, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl4339, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl845, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl19864, plain,
% 30.88/6.86 ((( (equalish @ e_5 @ e_4) | ~ (product @ e_2 @ e_1 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)) & ( (product @ e_5 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl7902, zip_derived_cl4339])).
% 30.88/6.86 thf(zip_derived_cl50, plain, (~ (equalish @ e_5 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf('108', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_2 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_4))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl19864, zip_derived_cl50, zip_derived_cl3988])).
% 30.88/6.86 thf(zip_derived_cl69, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl26, plain, ( (group_element @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_6])).
% 30.88/6.86 thf(zip_derived_cl181, plain,
% 30.88/6.86 (( (product @ e_4 @ e_6 @ e_6)
% 30.88/6.86 | (product @ e_4 @ e_6 @ e_5)
% 30.88/6.86 | (product @ e_4 @ e_6 @ e_4)
% 30.88/6.86 | (product @ e_4 @ e_6 @ e_3)
% 30.88/6.86 | (product @ e_4 @ e_6 @ e_2)
% 30.88/6.86 | (product @ e_4 @ e_6 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl26])).
% 30.88/6.86 thf(zip_derived_cl1170, plain,
% 30.88/6.86 (( (product @ e_4 @ e_6 @ e_6)) <= (( (product @ e_4 @ e_6 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl181])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1180, plain,
% 30.88/6.86 (( (equalish @ e_6 @ e_4)) <= (( (product @ e_4 @ e_6 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1170, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl55, plain, (~ (equalish @ e_6 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_4])).
% 30.88/6.86 thf('109', plain, (~ ( (product @ e_4 @ e_6 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1180, zip_derived_cl55])).
% 30.88/6.86 thf(zip_derived_cl1172, plain,
% 30.88/6.86 (( (product @ e_4 @ e_6 @ e_4)) <= (( (product @ e_4 @ e_6 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl181])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl6972, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_6)) <= (( (product @ e_4 @ e_6 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1172, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_6])).
% 30.88/6.86 thf('110', plain, (~ ( (product @ e_4 @ e_6 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl6972, zip_derived_cl46])).
% 30.88/6.86 thf(zip_derived_cl1175, plain,
% 30.88/6.86 (( (product @ e_4 @ e_6 @ e_1)) <= (( (product @ e_4 @ e_6 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl181])).
% 30.88/6.86 thf(zip_derived_cl440, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl432, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl586, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_6)) <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl594, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_6) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl926, plain,
% 30.88/6.86 (((~ (product @ e_4 @ e_6 @ e_1) | (equalish @ e_2 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)) & ( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl440, zip_derived_cl594])).
% 30.88/6.86 thf(zip_derived_cl35, plain, (~ (equalish @ e_2 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl929, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_6 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_5)) & ( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl926, zip_derived_cl35])).
% 30.88/6.86 thf('111', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_6 @ e_1)) | ~ ( (product @ e_1 @ e_4 @ e_5)) |
% 30.88/6.86 ~ ( (product @ e_2 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1175, zip_derived_cl929])).
% 30.88/6.86 thf(zip_derived_cl1173, plain,
% 30.88/6.86 (( (product @ e_4 @ e_6 @ e_3)) <= (( (product @ e_4 @ e_6 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl181])).
% 30.88/6.86 thf(zip_derived_cl263, plain,
% 30.88/6.86 ((![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | ~ (product @ e_4 @ X1 @ X0)
% 30.88/6.86 | (equalish @ e_2 @ X1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl7003, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_1) | (equalish @ e_2 @ e_6)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_4 @ e_6 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1173, zip_derived_cl263])).
% 30.88/6.86 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_6])).
% 30.88/6.86 thf(zip_derived_cl7013, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_4 @ e_6 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl7003, zip_derived_cl36])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf('112', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_6 @ e_3)) | ~ ( (product @ e_2 @ e_3 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl7013, zip_derived_cl567])).
% 30.88/6.86 thf(zip_derived_cl66, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_3])).
% 30.88/6.86 thf(zip_derived_cl95, plain,
% 30.88/6.86 (( (product @ e_1 @ e_3 @ e_6)
% 30.88/6.86 | (product @ e_1 @ e_3 @ e_5)
% 30.88/6.86 | (product @ e_1 @ e_3 @ e_4)
% 30.88/6.86 | (product @ e_1 @ e_3 @ e_3)
% 30.88/6.86 | (product @ e_1 @ e_3 @ e_2)
% 30.88/6.86 | (product @ e_1 @ e_3 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl23])).
% 30.88/6.86 thf(zip_derived_cl295, plain,
% 30.88/6.86 (( (product @ e_1 @ e_3 @ e_1)) <= (( (product @ e_1 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl95])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl2149, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_3)) <= (( (product @ e_1 @ e_3 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl28, plain, (~ (equalish @ e_1 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 30.88/6.86 thf('113', plain, (~ ( (product @ e_1 @ e_3 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl2149, zip_derived_cl28])).
% 30.88/6.86 thf(zip_derived_cl3992, plain,
% 30.88/6.86 (![X0 : $i]: ( (product @ e_3 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3988, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1135, plain,
% 30.88/6.86 (( (product @ e_4 @ e_3 @ e_1)) <= (( (product @ e_4 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl178])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl6514, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_1 @ e_3 @ X0) | ~ (product @ e_3 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_3 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1135, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl32158, plain,
% 30.88/6.86 (((~ (product @ e_1 @ e_4 @ e_2) | (product @ e_1 @ e_3 @ e_1)))
% 30.88/6.86 <= (( (product @ e_4 @ e_3 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl3992, zip_derived_cl6514])).
% 30.88/6.86 thf('114', plain,
% 30.88/6.86 (( (product @ e_1 @ e_3 @ e_1)) | ~ ( (product @ e_1 @ e_4 @ e_2)) |
% 30.88/6.86 ~ ( (product @ e_4 @ e_3 @ e_1))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl32158])).
% 30.88/6.86 thf(zip_derived_cl1132, plain,
% 30.88/6.86 (( (product @ e_4 @ e_3 @ e_4)) <= (( (product @ e_4 @ e_3 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl178])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl6394, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_3)) <= (( (product @ e_4 @ e_3 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1132, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl44, plain, (~ (equalish @ e_4 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 30.88/6.86 thf('115', plain, (~ ( (product @ e_4 @ e_3 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl6394, zip_derived_cl44])).
% 30.88/6.86 thf(zip_derived_cl1133, plain,
% 30.88/6.86 (( (product @ e_4 @ e_3 @ e_3)) <= (( (product @ e_4 @ e_3 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl178])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl6434, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_4)) <= (( (product @ e_4 @ e_3 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1133, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf('116', plain, (~ ( (product @ e_4 @ e_3 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl6434, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl595, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_2)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl70, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_4])).
% 30.88/6.86 thf(zip_derived_cl221, plain,
% 30.88/6.86 (( (product @ e_5 @ e_4 @ e_6)
% 30.88/6.86 | (product @ e_5 @ e_4 @ e_5)
% 30.88/6.86 | (product @ e_5 @ e_4 @ e_4)
% 30.88/6.86 | (product @ e_5 @ e_4 @ e_3)
% 30.88/6.86 | (product @ e_5 @ e_4 @ e_2)
% 30.88/6.86 | (product @ e_5 @ e_4 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl24])).
% 30.88/6.86 thf(zip_derived_cl1455, plain,
% 30.88/6.86 (( (product @ e_5 @ e_4 @ e_3)) <= (( (product @ e_5 @ e_4 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl221])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl8790, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_3) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_5 @ e_4 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1455, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl9350, plain,
% 30.88/6.86 (((~ (product @ e_4 @ e_3 @ e_2) | (equalish @ e_5 @ e_6)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)) & ( (product @ e_5 @ e_4 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl595, zip_derived_cl8790])).
% 30.88/6.86 thf(zip_derived_cl51, plain, (~ (equalish @ e_5 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_6])).
% 30.88/6.86 thf(zip_derived_cl9357, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_3 @ e_2))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)) & ( (product @ e_5 @ e_4 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl9350, zip_derived_cl51])).
% 30.88/6.86 thf(zip_derived_cl1134, plain,
% 30.88/6.86 (( (product @ e_4 @ e_3 @ e_2)) <= (( (product @ e_4 @ e_3 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl178])).
% 30.88/6.86 thf('117', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_4 @ e_3)) | ~ ( (product @ e_4 @ e_3 @ e_2)) |
% 30.88/6.86 ~ ( (product @ e_2 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl9357, zip_derived_cl1134])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl3461, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_1) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1139, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_3 @ X0) | ~ (product @ e_3 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_3 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1130, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl6588, plain,
% 30.88/6.86 ((( (equalish @ e_2 @ e_6) | ~ (product @ e_3 @ e_1 @ e_4)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_1)) & ( (product @ e_4 @ e_3 @ e_6)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl3461, zip_derived_cl1139])).
% 30.88/6.86 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_6])).
% 30.88/6.86 thf(zip_derived_cl6601, plain,
% 30.88/6.86 ((~ (product @ e_3 @ e_1 @ e_4))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_1)) & ( (product @ e_4 @ e_3 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl6588, zip_derived_cl36])).
% 30.88/6.86 thf(zip_derived_cl817, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.86 thf('118', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_3 @ e_6)) | ~ ( (product @ e_2 @ e_3 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_3 @ e_1 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl6601, zip_derived_cl817])).
% 30.88/6.86 thf('119', plain,
% 30.88/6.86 (( (product @ e_5 @ e_4 @ e_3)) | ( (product @ e_5 @ e_4 @ e_6)) |
% 30.88/6.86 ( (product @ e_5 @ e_4 @ e_5)) | ( (product @ e_5 @ e_4 @ e_4)) |
% 30.88/6.86 ( (product @ e_5 @ e_4 @ e_1)) | ( (product @ e_5 @ e_4 @ e_2))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl221])).
% 30.88/6.86 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_4])).
% 30.88/6.86 thf(zip_derived_cl70, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_5 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl227, plain,
% 30.88/6.86 (( (product @ e_5 @ e_4 @ e_1)
% 30.88/6.86 | (product @ e_5 @ e_4 @ e_2)
% 30.88/6.86 | (product @ e_5 @ e_4 @ e_3)
% 30.88/6.86 | (product @ e_5 @ e_4 @ e_4)
% 30.88/6.86 | (product @ e_5 @ e_4 @ e_5)
% 30.88/6.86 | (product @ e_5 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl70])).
% 30.88/6.86 thf(zip_derived_cl1593, plain,
% 30.88/6.86 (( (product @ e_5 @ e_4 @ e_5)) <= (( (product @ e_5 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl227])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl1602, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_4)) <= (( (product @ e_5 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1593, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl50, plain, (~ (equalish @ e_5 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_4])).
% 30.88/6.86 thf('120', plain, (~ ( (product @ e_5 @ e_4 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1602, zip_derived_cl50])).
% 30.88/6.86 thf(zip_derived_cl1454, plain,
% 30.88/6.86 (( (product @ e_5 @ e_4 @ e_4)) <= (( (product @ e_5 @ e_4 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl221])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl8755, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_5)) <= (( (product @ e_5 @ e_4 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1454, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 30.88/6.86 thf('121', plain, (~ ( (product @ e_5 @ e_4 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl8755, zip_derived_cl45])).
% 30.88/6.86 thf(zip_derived_cl1194, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1186, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1456, plain,
% 30.88/6.86 (( (product @ e_5 @ e_4 @ e_2)) <= (( (product @ e_5 @ e_4 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl221])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl8856, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_5 @ X0 @ e_2) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_5 @ e_4 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1456, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl9406, plain,
% 30.88/6.86 (((~ (product @ e_1 @ e_2 @ e_4) | (equalish @ e_4 @ e_1)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)) & ( (product @ e_5 @ e_4 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1194, zip_derived_cl8856])).
% 30.88/6.86 thf(zip_derived_cl42, plain, (~ (equalish @ e_4 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 30.88/6.86 thf(zip_derived_cl9420, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_4))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)) & ( (product @ e_5 @ e_4 @ e_2)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl9406, zip_derived_cl42])).
% 30.88/6.86 thf(zip_derived_cl109, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('122', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_4 @ e_2)) | ~ ( (product @ e_4 @ e_1 @ e_5)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl9420, zip_derived_cl109])).
% 30.88/6.86 thf(zip_derived_cl819, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_2)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl4278, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_2) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl819, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1194, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1186, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl7241, plain,
% 30.88/6.86 ((( (equalish @ e_3 @ e_5) | ~ (product @ e_1 @ e_2 @ e_4)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_2)) & ( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl4278, zip_derived_cl1194])).
% 30.88/6.86 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl7257, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_4))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_2)) & ( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl7241, zip_derived_cl40])).
% 30.88/6.86 thf(zip_derived_cl109, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('123', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_1 @ e_5)) | ~ ( (product @ e_3 @ e_1 @ e_2)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl7257, zip_derived_cl109])).
% 30.88/6.86 thf(zip_derived_cl1230, plain,
% 30.88/6.86 (( (product @ e_4 @ e_3 @ e_5)) <= (( (product @ e_4 @ e_3 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl184])).
% 30.88/6.86 thf(zip_derived_cl1186, plain,
% 30.88/6.86 (( (product @ e_4 @ e_1 @ e_5)) <= (( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl182])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl1192, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_4 @ X0 @ e_5) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1186, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl2019, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_3))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_5)) & ( (product @ e_4 @ e_3 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1230, zip_derived_cl1192])).
% 30.88/6.86 thf(zip_derived_cl28, plain, (~ (equalish @ e_1 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 30.88/6.86 thf('124', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_1 @ e_5)) | ~ ( (product @ e_4 @ e_3 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl2019, zip_derived_cl28])).
% 30.88/6.86 thf(e_4_then_e_5, axiom, (next @ e_4 @ e_5)).
% 30.88/6.86 thf(zip_derived_cl3, plain, ( (next @ e_4 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_then_e_5])).
% 30.88/6.86 thf(zip_derived_cl1074, plain,
% 30.88/6.86 (( (product @ e_4 @ e_1 @ e_6)) <= (( (product @ e_4 @ e_1 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl176])).
% 30.88/6.86 thf(zip_derived_cl20, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.88/6.86 (~ (product @ X0 @ e_1 @ X1)
% 30.88/6.86 | ~ (next @ X0 @ X2)
% 30.88/6.86 | ~ (greater @ X1 @ X2))),
% 30.88/6.86 inference('cnf', [status(esa)], [no_redundancy])).
% 30.88/6.86 thf(zip_derived_cl1084, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (next @ e_4 @ X0) | ~ (greater @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1074, zip_derived_cl20])).
% 30.88/6.86 thf(zip_derived_cl1086, plain,
% 30.88/6.86 ((~ (greater @ e_6 @ e_5)) <= (( (product @ e_4 @ e_1 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1084])).
% 30.88/6.86 thf(e_6_greater_e_5, axiom, (greater @ e_6 @ e_5)).
% 30.88/6.86 thf(zip_derived_cl19, plain, ( (greater @ e_6 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_greater_e_5])).
% 30.88/6.86 thf('125', plain, (~ ( (product @ e_4 @ e_1 @ e_6))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl1086, zip_derived_cl19])).
% 30.88/6.86 thf(zip_derived_cl1076, plain,
% 30.88/6.86 (( (product @ e_4 @ e_1 @ e_4)) <= (( (product @ e_4 @ e_1 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl176])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl5856, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_1)) <= (( (product @ e_4 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1076, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl42, plain, (~ (equalish @ e_4 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 30.88/6.86 thf('126', plain, (~ ( (product @ e_4 @ e_1 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl5856, zip_derived_cl42])).
% 30.88/6.86 thf(zip_derived_cl1077, plain,
% 30.88/6.86 (( (product @ e_4 @ e_1 @ e_3)) <= (( (product @ e_4 @ e_1 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl176])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl5932, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_3) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1077, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl5978, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_2)) <= (( (product @ e_4 @ e_1 @ e_3)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl5932, zip_derived_cl3988])).
% 30.88/6.86 thf(zip_derived_cl43, plain, (~ (equalish @ e_4 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 30.88/6.86 thf('127', plain, (~ ( (product @ e_4 @ e_1 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl5978, zip_derived_cl43])).
% 30.88/6.86 thf(zip_derived_cl1079, plain,
% 30.88/6.86 (( (product @ e_4 @ e_1 @ e_1)) <= (( (product @ e_4 @ e_1 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl176])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl6045, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_4)) <= (( (product @ e_4 @ e_1 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1079, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl29, plain, (~ (equalish @ e_1 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 30.88/6.86 thf('128', plain, (~ ( (product @ e_4 @ e_1 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl6045, zip_derived_cl29])).
% 30.88/6.86 thf(zip_derived_cl5986, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1078, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl20219, plain,
% 30.88/6.86 (((~ (product @ e_1 @ e_2 @ e_4) | (equalish @ e_2 @ e_1)))
% 30.88/6.86 <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl5986, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl32, plain, (~ (equalish @ e_2 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 30.88/6.86 thf(zip_derived_cl20334, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_4 @ e_1 @ e_2)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl20219, zip_derived_cl32])).
% 30.88/6.86 thf(zip_derived_cl109, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('129', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_2 @ e_4)) | ~ ( (product @ e_4 @ e_1 @ e_2))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl20334, zip_derived_cl109])).
% 30.88/6.86 thf(zip_derived_cl116, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1103, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_3)) <= (( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl6141, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1103, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl6360, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_1) | (equalish @ e_4 @ e_6)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl116, zip_derived_cl6141])).
% 30.88/6.86 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_6])).
% 30.88/6.86 thf(zip_derived_cl6368, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl6360, zip_derived_cl46])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf('130', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_1)) | ~ ( (product @ e_1 @ e_2 @ e_6)) |
% 30.88/6.86 ~ ( (product @ e_4 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl6368, zip_derived_cl567])).
% 30.88/6.86 thf(zip_derived_cl991, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl983, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1457, plain,
% 30.88/6.86 (( (product @ e_5 @ e_4 @ e_1)) <= (( (product @ e_5 @ e_4 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl221])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl8921, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_5 @ X0 @ e_1) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_5 @ e_4 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1457, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl9505, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_1 @ e_3) | (equalish @ e_4 @ e_2)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)) & ( (product @ e_5 @ e_4 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl991, zip_derived_cl8921])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl43, plain, (~ (equalish @ e_4 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 30.88/6.86 thf('131', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_4 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_5))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl9505, zip_derived_cl3988, zip_derived_cl43])).
% 30.88/6.86 thf('132', plain,
% 30.88/6.86 (( (product @ e_4 @ e_3 @ e_5)) | ( (product @ e_4 @ e_3 @ e_6)) |
% 30.88/6.86 ( (product @ e_4 @ e_3 @ e_4)) | ( (product @ e_4 @ e_3 @ e_3)) |
% 30.88/6.86 ( (product @ e_4 @ e_3 @ e_1)) | ( (product @ e_4 @ e_3 @ e_2))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl178])).
% 30.88/6.86 thf(zip_derived_cl991, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl983, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1105, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_1)) <= (( (product @ e_4 @ e_2 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl6205, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_1) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1105, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl6487, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_1 @ e_3) | (equalish @ e_4 @ e_5)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)) & ( (product @ e_4 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl991, zip_derived_cl6205])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 30.88/6.86 thf('133', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_2 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_5))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl6487, zip_derived_cl3988, zip_derived_cl45])).
% 30.88/6.86 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.86 thf(zip_derived_cl69, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl183, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_1)
% 30.88/6.86 | (product @ e_4 @ e_2 @ e_2)
% 30.88/6.86 | (product @ e_4 @ e_2 @ e_3)
% 30.88/6.86 | (product @ e_4 @ e_2 @ e_4)
% 30.88/6.86 | (product @ e_4 @ e_2 @ e_5)
% 30.88/6.86 | (product @ e_4 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl69])).
% 30.88/6.86 thf(zip_derived_cl1216, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_5)) <= (( (product @ e_4 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl183])).
% 30.88/6.86 thf(zip_derived_cl990, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_5) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl983, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1562, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_4))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_5)) & ( (product @ e_4 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1216, zip_derived_cl990])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf('134', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_2 @ e_5)) | ~ ( (product @ e_3 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1562, zip_derived_cl39])).
% 30.88/6.86 thf('135', plain,
% 30.88/6.86 (( (product @ e_4 @ e_6 @ e_2)) | ( (product @ e_4 @ e_6 @ e_3)) |
% 30.88/6.86 ( (product @ e_4 @ e_6 @ e_6)) | ( (product @ e_4 @ e_6 @ e_4)) |
% 30.88/6.86 ( (product @ e_4 @ e_6 @ e_5)) | ( (product @ e_4 @ e_6 @ e_1))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl181])).
% 30.88/6.86 thf('136', plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_2)) | ( (product @ e_1 @ e_4 @ e_5)) |
% 30.88/6.86 ( (product @ e_1 @ e_4 @ e_4)) | ( (product @ e_1 @ e_4 @ e_3)) |
% 30.88/6.86 ( (product @ e_1 @ e_4 @ e_6)) | ( (product @ e_1 @ e_4 @ e_1))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf(zip_derived_cl315, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_4)) <= (( (product @ e_1 @ e_4 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl2183, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_1)) <= (( (product @ e_1 @ e_4 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl315, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl42, plain, (~ (equalish @ e_4 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 30.88/6.86 thf('137', plain, (~ ( (product @ e_1 @ e_4 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl2183, zip_derived_cl42])).
% 30.88/6.86 thf(zip_derived_cl4279, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl819, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl3343, plain,
% 30.88/6.86 (![X0 : $i]: (~ (product @ e_2 @ e_1 @ X0) | (equalish @ e_3 @ X0))),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl3262, '35'])).
% 30.88/6.86 thf(zip_derived_cl19560, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_3) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl4279, zip_derived_cl3343])).
% 30.88/6.86 thf(zip_derived_cl316, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_3)) <= (( (product @ e_1 @ e_4 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf(zip_derived_cl19651, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_4))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_3)) & ( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl19560, zip_derived_cl316])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf('138', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_4 @ e_3)) | ~ ( (product @ e_3 @ e_1 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl19651, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl4102, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl817, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl19178, plain,
% 30.88/6.86 (((~ (product @ e_1 @ e_4 @ e_3) | (equalish @ e_4 @ e_1)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4102, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl42, plain, (~ (equalish @ e_4 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 30.88/6.86 thf(zip_derived_cl19323, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_4 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl19178, zip_derived_cl42])).
% 30.88/6.86 thf(zip_derived_cl316, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_3)) <= (( (product @ e_1 @ e_4 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf('139', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_4 @ e_3)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl19323, zip_derived_cl316])).
% 30.88/6.86 thf(zip_derived_cl318, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_1)) <= (( (product @ e_1 @ e_4 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl2237, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_4)) <= (( (product @ e_1 @ e_4 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl318, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl29, plain, (~ (equalish @ e_1 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 30.88/6.86 thf('140', plain, (~ ( (product @ e_1 @ e_4 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl2237, zip_derived_cl29])).
% 30.88/6.86 thf(zip_derived_cl432, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_5)) <= (( (product @ e_1 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl102])).
% 30.88/6.86 thf(zip_derived_cl118, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_5) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl441, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_4))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_1 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl432, zip_derived_cl118])).
% 30.88/6.86 thf(zip_derived_cl34, plain, (~ (equalish @ e_2 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 30.88/6.86 thf('141', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_4 @ e_5)) | ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl441, zip_derived_cl34])).
% 30.88/6.86 thf(zip_derived_cl845, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_4)) <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl4337, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_4) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl845, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3992, plain,
% 30.88/6.86 (![X0 : $i]: ( (product @ e_3 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3988, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl32244, plain,
% 30.88/6.86 ((( (equalish @ e_2 @ e_1) | ~ (product @ e_1 @ e_4 @ e_2)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl4337, zip_derived_cl3992])).
% 30.88/6.86 thf(zip_derived_cl32, plain, (~ (equalish @ e_2 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 30.88/6.86 thf(zip_derived_cl32307, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl32244, zip_derived_cl32])).
% 30.88/6.86 thf(zip_derived_cl317, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_1 @ e_4 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf('142', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_2 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_2))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl32307, zip_derived_cl317])).
% 30.88/6.86 thf(zip_derived_cl1413, plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_2)) <= (( (product @ e_5 @ e_2 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl219])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl8034, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_5)) <= (( (product @ e_5 @ e_2 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1413, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl35, plain, (~ (equalish @ e_2 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_5])).
% 30.88/6.86 thf('143', plain, (~ ( (product @ e_5 @ e_2 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl8034, zip_derived_cl35])).
% 30.88/6.86 thf(zip_derived_cl1414, plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_5)) <= (( (product @ e_5 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl219])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl8063, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_2)) <= (( (product @ e_5 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1414, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl48, plain, (~ (equalish @ e_5 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_2])).
% 30.88/6.86 thf('144', plain, (~ ( (product @ e_5 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl8063, zip_derived_cl48])).
% 30.88/6.86 thf(zip_derived_cl120, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl6141, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1103, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl6357, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_1) | (equalish @ e_4 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl120, zip_derived_cl6141])).
% 30.88/6.86 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl6366, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_4 @ e_2 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl6357, zip_derived_cl45])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf('145', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_1)) | ~ ( (product @ e_4 @ e_2 @ e_3)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl6366, zip_derived_cl567])).
% 30.88/6.86 thf(zip_derived_cl1418, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_5)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1409, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl851, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_6) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl8128, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_6 @ e_5) | (equalish @ e_3 @ e_4)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)) & ( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1418, zip_derived_cl851])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl8261, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_6 @ e_5))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)) & ( (product @ e_5 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl8128, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl742, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_5)) <= (( (product @ e_2 @ e_6 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 30.88/6.86 thf('146', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_2 @ e_4)) | ~ ( (product @ e_2 @ e_6 @ e_5)) |
% 30.88/6.86 ~ ( (product @ e_3 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl8261, zip_derived_cl742])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl1216, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_5)) <= (( (product @ e_4 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl183])).
% 30.88/6.86 thf(zip_derived_cl58, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X1 @ X3)
% 30.88/6.86 | (equalish @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_total_function2])).
% 30.88/6.86 thf(zip_derived_cl1221, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_4 @ e_2 @ X0) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1216, zip_derived_cl58])).
% 30.88/6.86 thf(zip_derived_cl138, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl2028, plain,
% 30.88/6.86 ((![X0 : $i]: ( (equalish @ e_5 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_4 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl1221, zip_derived_cl138])).
% 30.88/6.86 thf(zip_derived_cl3478, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_3))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) &
% 30.88/6.86 ( (product @ e_2 @ e_3 @ e_1)) &
% 30.88/6.86 ( (product @ e_4 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl567, zip_derived_cl2028])).
% 30.88/6.86 thf(zip_derived_cl49, plain, (~ (equalish @ e_5 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_3])).
% 30.88/6.86 thf('147', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_2 @ e_5)) | ~ ( (product @ e_2 @ e_3 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3478, zip_derived_cl49])).
% 30.88/6.86 thf(zip_derived_cl1216, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_5)) <= (( (product @ e_4 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl183])).
% 30.88/6.86 thf(zip_derived_cl119, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_5) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1225, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_4))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_4 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1216, zip_derived_cl119])).
% 30.88/6.86 thf(zip_derived_cl29, plain, (~ (equalish @ e_1 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 30.88/6.86 thf('148', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_2 @ e_5)) | ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1225, zip_derived_cl29])).
% 30.88/6.86 thf('149', plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_3)) | ( (product @ e_4 @ e_2 @ e_1)) |
% 30.88/6.86 ( (product @ e_4 @ e_2 @ e_4)) | ( (product @ e_4 @ e_2 @ e_2)) |
% 30.88/6.86 ( (product @ e_4 @ e_2 @ e_6)) | ( (product @ e_4 @ e_2 @ e_5))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl1102, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_4)) <= (( (product @ e_4 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl6123, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_2)) <= (( (product @ e_4 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1102, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl43, plain, (~ (equalish @ e_4 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 30.88/6.86 thf('150', plain, (~ ( (product @ e_4 @ e_2 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl6123, zip_derived_cl43])).
% 30.88/6.86 thf(zip_derived_cl1104, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_2)) <= (( (product @ e_4 @ e_2 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl6164, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_4)) <= (( (product @ e_4 @ e_2 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1104, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl34, plain, (~ (equalish @ e_2 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 30.88/6.86 thf('151', plain, (~ ( (product @ e_4 @ e_2 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl6164, zip_derived_cl34])).
% 30.88/6.86 thf(zip_derived_cl852, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl6205, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_1) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1105, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl6489, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_1 @ e_3) | (equalish @ e_4 @ e_6)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)) & ( (product @ e_4 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl852, zip_derived_cl6205])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_6])).
% 30.88/6.86 thf('152', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_2 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_6))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl6489, zip_derived_cl3988, zip_derived_cl46])).
% 30.88/6.86 thf(zip_derived_cl852, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl7902, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_1) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1411, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl8501, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_1 @ e_3) | (equalish @ e_5 @ e_6)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)) & ( (product @ e_5 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl852, zip_derived_cl7902])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl51, plain, (~ (equalish @ e_5 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_6])).
% 30.88/6.86 thf('153', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_2 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_6))),
% 30.88/6.86 inference('demod', [status(thm)],
% 30.88/6.86 [zip_derived_cl8501, zip_derived_cl3988, zip_derived_cl51])).
% 30.88/6.86 thf(zip_derived_cl843, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_6)) <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.86 thf(zip_derived_cl115, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_6) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl853, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_3))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl115])).
% 30.88/6.86 thf(zip_derived_cl28, plain, (~ (equalish @ e_1 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 30.88/6.86 thf('154', plain,
% 30.88/6.86 (~ ( (product @ e_3 @ e_2 @ e_6)) | ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl853, zip_derived_cl28])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl138, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1538, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1531, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl2473, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_1) | (equalish @ e_5 @ e_4)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_5 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl138, zip_derived_cl1538])).
% 30.88/6.86 thf(zip_derived_cl50, plain, (~ (equalish @ e_5 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl2479, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_5 @ e_2 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl2473, zip_derived_cl50])).
% 30.88/6.86 thf('155', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_2 @ e_3)) | ~ ( (product @ e_2 @ e_3 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl567, zip_derived_cl2479])).
% 30.88/6.86 thf(zip_derived_cl1412, plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_6)) <= (( (product @ e_5 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl219])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl7941, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_5)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1412, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl21360, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_6 @ e_5) | (equalish @ e_6 @ e_2)))
% 30.88/6.86 <= (( (product @ e_5 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl7941, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl53, plain, (~ (equalish @ e_6 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl21493, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_6 @ e_5)) <= (( (product @ e_5 @ e_2 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl21360, zip_derived_cl53])).
% 30.88/6.86 thf(zip_derived_cl742, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_5)) <= (( (product @ e_2 @ e_6 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 30.88/6.86 thf('156', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_6 @ e_5)) | ~ ( (product @ e_5 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl21493, zip_derived_cl742])).
% 30.88/6.86 thf(zip_derived_cl26, plain, ( (group_element @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_6])).
% 30.88/6.86 thf(zip_derived_cl69, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_4 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl187, plain,
% 30.88/6.86 (( (product @ e_4 @ e_6 @ e_1)
% 30.88/6.86 | (product @ e_4 @ e_6 @ e_2)
% 30.88/6.86 | (product @ e_4 @ e_6 @ e_3)
% 30.88/6.86 | (product @ e_4 @ e_6 @ e_4)
% 30.88/6.86 | (product @ e_4 @ e_6 @ e_5)
% 30.88/6.86 | (product @ e_4 @ e_6 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl69])).
% 30.88/6.86 thf(zip_derived_cl1284, plain,
% 30.88/6.86 (( (product @ e_4 @ e_6 @ e_5)) <= (( (product @ e_4 @ e_6 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl187])).
% 30.88/6.86 thf(zip_derived_cl742, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_5)) <= (( (product @ e_2 @ e_6 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl749, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_6 @ e_5) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_6 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl742, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1294, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_4))
% 30.88/6.86 <= (( (product @ e_2 @ e_6 @ e_5)) & ( (product @ e_4 @ e_6 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1284, zip_derived_cl749])).
% 30.88/6.86 thf(zip_derived_cl34, plain, (~ (equalish @ e_2 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 30.88/6.86 thf('157', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_6 @ e_5)) | ~ ( (product @ e_2 @ e_6 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1294, zip_derived_cl34])).
% 30.88/6.86 thf(zip_derived_cl636, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_1)) <= (( (product @ e_2 @ e_6 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl3460, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_1) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3934, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_6))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_1)) & ( (product @ e_2 @ e_6 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl636, zip_derived_cl3460])).
% 30.88/6.86 thf(zip_derived_cl41, plain, (~ (equalish @ e_3 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_6])).
% 30.88/6.86 thf('158', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_1)) | ~ ( (product @ e_2 @ e_6 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3934, zip_derived_cl41])).
% 30.88/6.86 thf(zip_derived_cl617, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_1)) <= (( (product @ e_2 @ e_5 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl3460, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_1) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3786, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_5))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_1)) & ( (product @ e_2 @ e_5 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl617, zip_derived_cl3460])).
% 30.88/6.86 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 30.88/6.86 thf('159', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_5 @ e_1)) | ~ ( (product @ e_2 @ e_3 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3786, zip_derived_cl40])).
% 30.88/6.86 thf(zip_derived_cl588, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_4)) <= (( (product @ e_2 @ e_4 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl3519, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_2)) <= (( (product @ e_2 @ e_4 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl588, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl43, plain, (~ (equalish @ e_4 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 30.88/6.86 thf('160', plain, (~ ( (product @ e_2 @ e_4 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3519, zip_derived_cl43])).
% 30.88/6.86 thf(zip_derived_cl590, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_2)) <= (( (product @ e_2 @ e_4 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3568, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_4)) <= (( (product @ e_2 @ e_4 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl590, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl34, plain, (~ (equalish @ e_2 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 30.88/6.86 thf('161', plain, (~ ( (product @ e_2 @ e_4 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3568, zip_derived_cl34])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl589, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_3)) <= (( (product @ e_2 @ e_4 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl3548, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_3) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl589, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3994, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl3988, zip_derived_cl3548])).
% 30.88/6.86 thf(zip_derived_cl42, plain, (~ (equalish @ e_4 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 30.88/6.86 thf('162', plain, (~ ( (product @ e_2 @ e_4 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3994, zip_derived_cl42])).
% 30.88/6.86 thf(zip_derived_cl120, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl845, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_4)) <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl4338, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_4) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl845, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl4567, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_4 @ e_1) | (equalish @ e_3 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl120, zip_derived_cl4338])).
% 30.88/6.86 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl4574, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_4 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_3 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl4567, zip_derived_cl40])).
% 30.88/6.86 thf(zip_derived_cl591, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf('163', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_4 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_4)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl4574, zip_derived_cl591])).
% 30.88/6.86 thf('164', plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_5)) | ( (product @ e_3 @ e_2 @ e_4)) |
% 30.88/6.86 ( (product @ e_3 @ e_2 @ e_3)) | ( (product @ e_3 @ e_2 @ e_1)) |
% 30.88/6.86 ( (product @ e_3 @ e_2 @ e_2)) | ( (product @ e_3 @ e_2 @ e_6))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.86 thf(zip_derived_cl846, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_3)) <= (( (product @ e_3 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl4371, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_2)) <= (( (product @ e_3 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl846, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl38, plain, (~ (equalish @ e_3 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 30.88/6.86 thf('165', plain, (~ ( (product @ e_3 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4371, zip_derived_cl38])).
% 30.88/6.86 thf(zip_derived_cl848, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_1)) <= (( (product @ e_3 @ e_2 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl4431, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_1 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl848, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl13936, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_1)) <= (( (product @ e_3 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl4431, zip_derived_cl3988])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl13944, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_2)) <= (( (product @ e_3 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl13936, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 30.88/6.86 thf('166', plain, (~ ( (product @ e_3 @ e_2 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl13944, zip_derived_cl27])).
% 30.88/6.86 thf(zip_derived_cl847, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_2)) <= (( (product @ e_3 @ e_2 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl159])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl4391, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_3)) <= (( (product @ e_3 @ e_2 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl847, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl33, plain, (~ (equalish @ e_2 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 30.88/6.86 thf('167', plain, (~ ( (product @ e_3 @ e_2 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4391, zip_derived_cl33])).
% 30.88/6.86 thf(zip_derived_cl25, plain, ( (group_element @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_5])).
% 30.88/6.86 thf(zip_derived_cl67, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_2 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl131, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_1)
% 30.88/6.86 | (product @ e_2 @ e_5 @ e_2)
% 30.88/6.86 | (product @ e_2 @ e_5 @ e_3)
% 30.88/6.86 | (product @ e_2 @ e_5 @ e_4)
% 30.88/6.86 | (product @ e_2 @ e_5 @ e_5)
% 30.88/6.86 | (product @ e_2 @ e_5 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl67])).
% 30.88/6.86 thf(zip_derived_cl721, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_5)) <= (( (product @ e_2 @ e_5 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl131])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl730, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_2)) <= (( (product @ e_2 @ e_5 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl721, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl48, plain, (~ (equalish @ e_5 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_2])).
% 30.88/6.86 thf('168', plain, (~ ( (product @ e_2 @ e_5 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl730, zip_derived_cl48])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl615, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_3)) <= (( (product @ e_2 @ e_5 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl3725, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_3) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_5 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl615, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3995, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_1)) <= (( (product @ e_2 @ e_5 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl3988, zip_derived_cl3725])).
% 30.88/6.86 thf(zip_derived_cl47, plain, (~ (equalish @ e_5 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_1])).
% 30.88/6.86 thf('169', plain, (~ ( (product @ e_2 @ e_5 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3995, zip_derived_cl47])).
% 30.88/6.86 thf(zip_derived_cl616, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_2)) <= (( (product @ e_2 @ e_5 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3756, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_5)) <= (( (product @ e_2 @ e_5 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl616, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl35, plain, (~ (equalish @ e_2 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_5])).
% 30.88/6.86 thf('170', plain, (~ ( (product @ e_2 @ e_5 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3756, zip_derived_cl35])).
% 30.88/6.86 thf(zip_derived_cl631, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_6)) <= (( (product @ e_2 @ e_6 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl641, plain,
% 30.88/6.86 (( (equalish @ e_6 @ e_2)) <= (( (product @ e_2 @ e_6 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl631, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl53, plain, (~ (equalish @ e_6 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_2])).
% 30.88/6.86 thf('171', plain, (~ ( (product @ e_2 @ e_6 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl641, zip_derived_cl53])).
% 30.88/6.86 thf(zip_derived_cl3988, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 30.88/6.86 inference('simpl_trail', [status(thm)], [zip_derived_cl655, '9'])).
% 30.88/6.86 thf(zip_derived_cl634, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_3)) <= (( (product @ e_2 @ e_6 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl3869, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_3) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_6 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl4010, plain,
% 30.88/6.86 (( (equalish @ e_6 @ e_1)) <= (( (product @ e_2 @ e_6 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl3988, zip_derived_cl3869])).
% 30.88/6.86 thf(zip_derived_cl52, plain, (~ (equalish @ e_6 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_1])).
% 30.88/6.86 thf('172', plain, (~ ( (product @ e_2 @ e_6 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4010, zip_derived_cl52])).
% 30.88/6.86 thf(zip_derived_cl635, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_2)) <= (( (product @ e_2 @ e_6 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3902, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_6)) <= (( (product @ e_2 @ e_6 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl635, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl36, plain, (~ (equalish @ e_2 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_6])).
% 30.88/6.86 thf('173', plain, (~ ( (product @ e_2 @ e_6 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3902, zip_derived_cl36])).
% 30.88/6.86 thf(zip_derived_cl617, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_1)) <= (( (product @ e_2 @ e_5 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl120, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl210, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_5 @ e_1) | (equalish @ e_5 @ e_2)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl48, plain, (~ (equalish @ e_5 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl214, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_5 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl210, zip_derived_cl48])).
% 30.88/6.86 thf('174', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_5 @ e_1)) | ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl617, zip_derived_cl214])).
% 30.88/6.86 thf(zip_derived_cl983, plain,
% 30.88/6.86 (( (product @ e_3 @ e_2 @ e_5)) <= (( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl165])).
% 30.88/6.86 thf(zip_derived_cl119, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_5) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl992, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_3))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_3 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl983, zip_derived_cl119])).
% 30.88/6.86 thf(zip_derived_cl28, plain, (~ (equalish @ e_1 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 30.88/6.86 thf('175', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_2 @ e_5)) | ~ ( (product @ e_3 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl992, zip_derived_cl28])).
% 30.88/6.86 thf(zip_derived_cl1100, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_6)) <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl62, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 ( (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X0)
% 30.88/6.86 | ~ (product @ X1 @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.88/6.86 thf(zip_derived_cl1109, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1100, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl119, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_5) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl6257, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_5 @ e_4) | (equalish @ e_1 @ e_6)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1109, zip_derived_cl119])).
% 30.88/6.86 thf(zip_derived_cl31, plain, (~ (equalish @ e_1 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_6])).
% 30.88/6.86 thf(zip_derived_cl6321, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_5 @ e_4))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl6257, zip_derived_cl31])).
% 30.88/6.86 thf(zip_derived_cl614, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_4)) <= (( (product @ e_2 @ e_5 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf('176', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_2 @ e_6)) | ~ ( (product @ e_2 @ e_5 @ e_4)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl6321, zip_derived_cl614])).
% 30.88/6.86 thf(zip_derived_cl636, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_1)) <= (( (product @ e_2 @ e_6 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl120, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_5 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1100, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_6)) <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl1108, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_6) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1100, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1860, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_6 @ e_1) | (equalish @ e_4 @ e_5)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl120, zip_derived_cl1108])).
% 30.88/6.86 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 30.88/6.86 thf(zip_derived_cl1864, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_6 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_5)) & ( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl1860, zip_derived_cl45])).
% 30.88/6.86 thf('177', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_2 @ e_6)) | ~ ( (product @ e_2 @ e_6 @ e_1)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl636, zip_derived_cl1864])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl1100, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_6)) <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl58, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X1 @ X3)
% 30.88/6.86 | (equalish @ X2 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_total_function2])).
% 30.88/6.86 thf(zip_derived_cl1106, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_4 @ e_2 @ X0) | (equalish @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1100, zip_derived_cl58])).
% 30.88/6.86 thf(zip_derived_cl138, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl1793, plain,
% 30.88/6.86 ((![X0 : $i]: ( (equalish @ e_6 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl1106, zip_derived_cl138])).
% 30.88/6.86 thf(zip_derived_cl3477, plain,
% 30.88/6.86 (( (equalish @ e_6 @ e_3))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)) &
% 30.88/6.86 ( (product @ e_2 @ e_3 @ e_1)) &
% 30.88/6.86 ( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl567, zip_derived_cl1793])).
% 30.88/6.86 thf(zip_derived_cl54, plain, (~ (equalish @ e_6 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_3])).
% 30.88/6.86 thf('178', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_1)) | ~ ( (product @ e_4 @ e_2 @ e_6)) |
% 30.88/6.86 ~ ( (product @ e_1 @ e_2 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3477, zip_derived_cl54])).
% 30.88/6.86 thf('179', plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_6)) | ( (product @ e_1 @ e_2 @ e_5)) |
% 30.88/6.86 ( (product @ e_1 @ e_2 @ e_3)) | ( (product @ e_1 @ e_2 @ e_4)) |
% 30.88/6.86 ( (product @ e_1 @ e_2 @ e_2)) | ( (product @ e_1 @ e_2 @ e_1))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf(zip_derived_cl1109, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_4)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1100, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl6246, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_6 @ e_4) | (equalish @ e_6 @ e_2)))
% 30.88/6.86 <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1109, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl53, plain, (~ (equalish @ e_6 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl6311, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_6 @ e_4)) <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl6246, zip_derived_cl53])).
% 30.88/6.86 thf(zip_derived_cl633, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_4)) <= (( (product @ e_2 @ e_6 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf('180', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_2 @ e_6)) | ~ ( (product @ e_2 @ e_6 @ e_4))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl6311, zip_derived_cl633])).
% 30.88/6.86 thf(zip_derived_cl1100, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_6)) <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl851, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_6) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1347, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_4))
% 30.88/6.86 <= (( (product @ e_3 @ e_2 @ e_6)) & ( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1100, zip_derived_cl851])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf('181', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_2 @ e_6)) | ~ ( (product @ e_3 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1347, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl1100, plain,
% 30.88/6.86 (( (product @ e_4 @ e_2 @ e_6)) <= (( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl177])).
% 30.88/6.86 thf(zip_derived_cl115, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_6) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1110, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_4))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_6)) & ( (product @ e_4 @ e_2 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1100, zip_derived_cl115])).
% 30.88/6.86 thf(zip_derived_cl29, plain, (~ (equalish @ e_1 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 30.88/6.86 thf('182', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_2 @ e_6)) | ~ ( (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1110, zip_derived_cl29])).
% 30.88/6.86 thf(zip_derived_cl567, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl193, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_3 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl336, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_3 @ e_1) | (equalish @ e_3 @ e_2)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl38, plain, (~ (equalish @ e_3 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl342, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl336, zip_derived_cl38])).
% 30.88/6.86 thf('183', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_1)) | ~ ( (product @ e_1 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl342])).
% 30.88/6.86 thf('184', plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_6)) | ( (product @ e_5 @ e_2 @ e_1)) |
% 30.88/6.86 ( (product @ e_5 @ e_2 @ e_3)) | ( (product @ e_5 @ e_2 @ e_4)) |
% 30.88/6.86 ( (product @ e_5 @ e_2 @ e_2)) | ( (product @ e_5 @ e_2 @ e_5))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl219])).
% 30.88/6.86 thf(zip_derived_cl1679, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_6)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1670, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl10472, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_4 @ e_6) | (equalish @ e_4 @ e_2)))
% 30.88/6.86 <= (( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1679, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl43, plain, (~ (equalish @ e_4 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl10608, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_4 @ e_6)) <= (( (product @ e_6 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl10472, zip_derived_cl43])).
% 30.88/6.86 thf(zip_derived_cl586, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_6)) <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf('185', plain,
% 30.88/6.86 (~ ( (product @ e_6 @ e_2 @ e_4)) | ~ ( (product @ e_2 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl10608, zip_derived_cl586])).
% 30.88/6.86 thf(zip_derived_cl1174, plain,
% 30.88/6.86 (( (product @ e_4 @ e_6 @ e_2)) <= (( (product @ e_4 @ e_6 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl181])).
% 30.88/6.86 thf(zip_derived_cl595, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_6 @ e_4 @ X0) | ~ (product @ e_4 @ X0 @ e_2)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl895, plain,
% 30.88/6.86 (((~ (product @ e_4 @ e_6 @ e_2) | (equalish @ e_6 @ e_4)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl595, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl55, plain, (~ (equalish @ e_6 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_is_not_e_4])).
% 30.88/6.86 thf(zip_derived_cl902, plain,
% 30.88/6.86 ((~ (product @ e_4 @ e_6 @ e_2)) <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl895, zip_derived_cl55])).
% 30.88/6.86 thf('186', plain,
% 30.88/6.86 (~ ( (product @ e_4 @ e_6 @ e_2)) | ~ ( (product @ e_2 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1174, zip_derived_cl902])).
% 30.88/6.86 thf(zip_derived_cl1452, plain,
% 30.88/6.86 (( (product @ e_5 @ e_4 @ e_6)) <= (( (product @ e_5 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl221])).
% 30.88/6.86 thf(zip_derived_cl594, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_6) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1463, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_5))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)) & ( (product @ e_5 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1452, zip_derived_cl594])).
% 30.88/6.86 thf(zip_derived_cl35, plain, (~ (equalish @ e_2 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_5])).
% 30.88/6.86 thf('187', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_4 @ e_6)) | ~ ( (product @ e_5 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1463, zip_derived_cl35])).
% 30.88/6.86 thf(zip_derived_cl875, plain,
% 30.88/6.86 (( (product @ e_3 @ e_4 @ e_6)) <= (( (product @ e_3 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl161])).
% 30.88/6.86 thf(zip_derived_cl594, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_6) | (equalish @ e_2 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl925, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_3))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)) & ( (product @ e_3 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl875, zip_derived_cl594])).
% 30.88/6.86 thf(zip_derived_cl33, plain, (~ (equalish @ e_2 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 30.88/6.86 thf('188', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_4 @ e_6)) | ~ ( (product @ e_3 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl925, zip_derived_cl33])).
% 30.88/6.86 thf(zip_derived_cl612, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_6)) <= (( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl586, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_6)) <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl593, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_6) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl890, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_5))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_6)) & ( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl612, zip_derived_cl593])).
% 30.88/6.86 thf(zip_derived_cl45, plain, (~ (equalish @ e_4 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_5])).
% 30.88/6.86 thf('189', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_4 @ e_6)) | ~ ( (product @ e_2 @ e_5 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl890, zip_derived_cl45])).
% 30.88/6.86 thf(zip_derived_cl586, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_6)) <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl562, plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_6)) <= (( (product @ e_2 @ e_3 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl569, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_6) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl562, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl810, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_4))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_6)) & ( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl569])).
% 30.88/6.86 thf(zip_derived_cl39, plain, (~ (equalish @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 30.88/6.86 thf('190', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_4 @ e_6)) | ~ ( (product @ e_2 @ e_3 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl810, zip_derived_cl39])).
% 30.88/6.86 thf(zip_derived_cl586, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_6)) <= (( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl313, plain,
% 30.88/6.86 (( (product @ e_1 @ e_4 @ e_6)) <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 30.88/6.86 thf(zip_derived_cl60, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X3 @ X1 @ X2)
% 30.88/6.86 | (equalish @ X0 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_left_cancellation])).
% 30.88/6.86 thf(zip_derived_cl321, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_6) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl596, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_2))
% 30.88/6.86 <= (( (product @ e_1 @ e_4 @ e_6)) & ( (product @ e_2 @ e_4 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl321])).
% 30.88/6.86 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 30.88/6.86 thf('191', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_4 @ e_6)) | ~ ( (product @ e_1 @ e_4 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl596, zip_derived_cl27])).
% 30.88/6.86 thf('192', plain,
% 30.88/6.86 (( (product @ e_6 @ e_1 @ e_5)) | ( (product @ e_6 @ e_1 @ e_4)) |
% 30.88/6.86 ( (product @ e_6 @ e_1 @ e_6)) | ( (product @ e_6 @ e_1 @ e_3)) |
% 30.88/6.86 ( (product @ e_6 @ e_1 @ e_2)) | ( (product @ e_6 @ e_1 @ e_1))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl241])).
% 30.88/6.86 thf(zip_derived_cl817, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.86 thf(zip_derived_cl193, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_3 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl333, plain,
% 30.88/6.86 ((![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ e_2 @ X0 @ e_1)
% 30.88/6.86 | ~ (product @ e_3 @ X1 @ X0)
% 30.88/6.86 | (equalish @ e_2 @ X1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl4104, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_4 @ e_1) | (equalish @ e_2 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl817, zip_derived_cl333])).
% 30.88/6.86 thf(zip_derived_cl32, plain, (~ (equalish @ e_2 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 30.88/6.86 thf(zip_derived_cl4105, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_4 @ e_1))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl4104, zip_derived_cl32])).
% 30.88/6.86 thf(zip_derived_cl591, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf('193', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_3 @ e_1 @ e_4)) |
% 30.88/6.86 ~ ( (product @ e_2 @ e_4 @ e_1))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl4105, zip_derived_cl591])).
% 30.88/6.86 thf('194', plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_4)) | ( (product @ e_3 @ e_1 @ e_2)) |
% 30.88/6.86 ( (product @ e_3 @ e_1 @ e_6)) | ( (product @ e_3 @ e_1 @ e_5)) |
% 30.88/6.86 ( (product @ e_3 @ e_1 @ e_3)) | ( (product @ e_3 @ e_1 @ e_1))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.86 thf(e_3_then_e_4, axiom, (next @ e_3 @ e_4)).
% 30.88/6.86 thf(zip_derived_cl2, plain, ( (next @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 30.88/6.86 thf(zip_derived_cl815, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_6)) <= (( (product @ e_3 @ e_1 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.86 thf(zip_derived_cl20, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.88/6.86 (~ (product @ X0 @ e_1 @ X1)
% 30.88/6.86 | ~ (next @ X0 @ X2)
% 30.88/6.86 | ~ (greater @ X1 @ X2))),
% 30.88/6.86 inference('cnf', [status(esa)], [no_redundancy])).
% 30.88/6.86 thf(zip_derived_cl825, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (next @ e_3 @ X0) | ~ (greater @ e_6 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl815, zip_derived_cl20])).
% 30.88/6.86 thf(zip_derived_cl827, plain,
% 30.88/6.86 ((~ (greater @ e_6 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl825])).
% 30.88/6.86 thf(e_6_greater_e_4, axiom, (greater @ e_6 @ e_4)).
% 30.88/6.86 thf(zip_derived_cl18, plain, ( (greater @ e_6 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_6_greater_e_4])).
% 30.88/6.86 thf('195', plain, (~ ( (product @ e_3 @ e_1 @ e_6))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl827, zip_derived_cl18])).
% 30.88/6.86 thf(zip_derived_cl2, plain, ( (next @ e_3 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 30.88/6.86 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_1])).
% 30.88/6.86 thf(zip_derived_cl68, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_3 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl164, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_1)
% 30.88/6.86 | (product @ e_3 @ e_1 @ e_2)
% 30.88/6.86 | (product @ e_3 @ e_1 @ e_3)
% 30.88/6.86 | (product @ e_3 @ e_1 @ e_4)
% 30.88/6.86 | (product @ e_3 @ e_1 @ e_5)
% 30.88/6.86 | (product @ e_3 @ e_1 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl68])).
% 30.88/6.86 thf(zip_derived_cl950, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_5)) <= (( (product @ e_3 @ e_1 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl164])).
% 30.88/6.86 thf(zip_derived_cl20, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.88/6.86 (~ (product @ X0 @ e_1 @ X1)
% 30.88/6.86 | ~ (next @ X0 @ X2)
% 30.88/6.86 | ~ (greater @ X1 @ X2))),
% 30.88/6.86 inference('cnf', [status(esa)], [no_redundancy])).
% 30.88/6.86 thf(zip_derived_cl959, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (next @ e_3 @ X0) | ~ (greater @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl950, zip_derived_cl20])).
% 30.88/6.86 thf(zip_derived_cl961, plain,
% 30.88/6.86 ((~ (greater @ e_5 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl959])).
% 30.88/6.86 thf(e_5_greater_e_4, axiom, (greater @ e_5 @ e_4)).
% 30.88/6.86 thf(zip_derived_cl17, plain, ( (greater @ e_5 @ e_4)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_greater_e_4])).
% 30.88/6.86 thf('196', plain, (~ ( (product @ e_3 @ e_1 @ e_5))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl961, zip_derived_cl17])).
% 30.88/6.86 thf(zip_derived_cl818, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl4267, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_1)) <= (( (product @ e_3 @ e_1 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl818, zip_derived_cl77])).
% 30.88/6.86 thf(e_3_is_not_e_1, axiom, (~( equalish @ e_3 @ e_1 ))).
% 30.88/6.86 thf(zip_derived_cl37, plain, (~ (equalish @ e_3 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 30.88/6.86 thf('197', plain, (~ ( (product @ e_3 @ e_1 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4267, zip_derived_cl37])).
% 30.88/6.86 thf(zip_derived_cl820, plain,
% 30.88/6.86 (( (product @ e_3 @ e_1 @ e_1)) <= (( (product @ e_3 @ e_1 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl158])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl4304, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl820, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl28, plain, (~ (equalish @ e_1 @ e_3)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 30.88/6.86 thf('198', plain, (~ ( (product @ e_3 @ e_1 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4304, zip_derived_cl28])).
% 30.88/6.86 thf(zip_derived_cl4279, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_1 @ X0 @ e_3)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl819, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl19488, plain,
% 30.88/6.86 (((~ (product @ e_1 @ e_2 @ e_3) | (equalish @ e_2 @ e_1)))
% 30.88/6.86 <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl4279, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl32, plain, (~ (equalish @ e_2 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 30.88/6.86 thf(zip_derived_cl19599, plain,
% 30.88/6.86 ((~ (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl19488, zip_derived_cl32])).
% 30.88/6.86 thf(zip_derived_cl110, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf('199', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_3 @ e_1 @ e_2))),
% 30.88/6.86 inference('s_sup+', [status(thm)],
% 30.88/6.86 [zip_derived_cl19599, zip_derived_cl110])).
% 30.88/6.86 thf(zip_derived_cl1836, plain,
% 30.88/6.86 (( (product @ e_6 @ e_2 @ e_3)) <= (( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl248])).
% 30.88/6.86 thf(zip_derived_cl192, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1845, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_6))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_6 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1836, zip_derived_cl192])).
% 30.88/6.86 thf(zip_derived_cl31, plain, (~ (equalish @ e_1 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_6])).
% 30.88/6.86 thf('200', plain,
% 30.88/6.86 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_6 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1845, zip_derived_cl31])).
% 30.88/6.86 thf(zip_derived_cl1531, plain,
% 30.88/6.86 (( (product @ e_5 @ e_2 @ e_3)) <= (( (product @ e_5 @ e_2 @ e_3)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl225])).
% 30.88/6.86 thf(zip_derived_cl192, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_1 @ X0)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl1540, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_5))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_5 @ e_2 @ e_3)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl1531, zip_derived_cl192])).
% 30.88/6.86 thf(zip_derived_cl30, plain, (~ (equalish @ e_1 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_5])).
% 30.88/6.86 thf('201', plain,
% 30.88/6.86 (~ ( (product @ e_5 @ e_2 @ e_3)) | ~ ( (product @ e_1 @ e_2 @ e_3))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1540, zip_derived_cl30])).
% 30.88/6.86 thf(zip_derived_cl633, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_4)) <= (( (product @ e_2 @ e_6 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl614, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_4)) <= (( (product @ e_2 @ e_5 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl3711, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_4) | (equalish @ e_5 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_5 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl614, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3854, plain,
% 30.88/6.86 (( (equalish @ e_5 @ e_6))
% 30.88/6.86 <= (( (product @ e_2 @ e_5 @ e_4)) & ( (product @ e_2 @ e_6 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl633, zip_derived_cl3711])).
% 30.88/6.86 thf(zip_derived_cl51, plain, (~ (equalish @ e_5 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_5_is_not_e_6])).
% 30.88/6.86 thf('202', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_5 @ e_4)) | ~ ( (product @ e_2 @ e_6 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3854, zip_derived_cl51])).
% 30.88/6.86 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [element_2])).
% 30.88/6.86 thf(zip_derived_cl66, plain,
% 30.88/6.86 (![X0 : $i]:
% 30.88/6.86 (~ (group_element @ X0)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_1)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_2)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_3)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_4)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_5)
% 30.88/6.86 | (product @ e_1 @ X0 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl57])).
% 30.88/6.86 thf(zip_derived_cl100, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_1)
% 30.88/6.86 | (product @ e_1 @ e_2 @ e_2)
% 30.88/6.86 | (product @ e_1 @ e_2 @ e_3)
% 30.88/6.86 | (product @ e_1 @ e_2 @ e_4)
% 30.88/6.86 | (product @ e_1 @ e_2 @ e_5)
% 30.88/6.86 | (product @ e_1 @ e_2 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl66])).
% 30.88/6.86 thf(zip_derived_cl396, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_2)) <= (( (product @ e_1 @ e_2 @ e_2)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl100])).
% 30.88/6.86 thf(zip_derived_cl82, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl60])).
% 30.88/6.86 thf(zip_derived_cl402, plain,
% 30.88/6.86 (( (equalish @ e_2 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_2)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl396, zip_derived_cl82])).
% 30.88/6.86 thf(zip_derived_cl32, plain, (~ (equalish @ e_2 @ e_1)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 30.88/6.86 thf('203', plain, (~ ( (product @ e_1 @ e_2 @ e_2))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl402, zip_derived_cl32])).
% 30.88/6.86 thf(zip_derived_cl112, plain,
% 30.88/6.86 (( (product @ e_1 @ e_2 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl518, plain,
% 30.88/6.86 (( (equalish @ e_1 @ e_2)) <= (( (product @ e_1 @ e_2 @ e_1)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 30.88/6.86 thf('204', plain, (~ ( (product @ e_1 @ e_2 @ e_1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl518, zip_derived_cl27])).
% 30.88/6.86 thf(zip_derived_cl591, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl138, plain,
% 30.88/6.86 ((![X0 : $i]:
% 30.88/6.86 ( (product @ e_4 @ e_2 @ X0) | ~ (product @ e_2 @ X0 @ e_1)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl62])).
% 30.88/6.86 thf(zip_derived_cl77, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl266, plain,
% 30.88/6.86 (((~ (product @ e_2 @ e_4 @ e_1) | (equalish @ e_4 @ e_2)))
% 30.88/6.86 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl77])).
% 30.88/6.86 thf(zip_derived_cl43, plain, (~ (equalish @ e_4 @ e_2)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 30.88/6.86 thf(zip_derived_cl271, plain,
% 30.88/6.86 ((~ (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 30.88/6.86 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl43])).
% 30.88/6.86 thf('205', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_4 @ e_1)) | ~ ( (product @ e_1 @ e_2 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl591, zip_derived_cl271])).
% 30.88/6.86 thf('206', plain,
% 30.88/6.86 (( (product @ e_4 @ e_1 @ e_5)) | ( (product @ e_4 @ e_1 @ e_2)) |
% 30.88/6.86 ( (product @ e_4 @ e_1 @ e_6)) | ( (product @ e_4 @ e_1 @ e_4)) |
% 30.88/6.86 ( (product @ e_4 @ e_1 @ e_3)) | ( (product @ e_4 @ e_1 @ e_1))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl176])).
% 30.88/6.86 thf('207', plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_5)) | ( (product @ e_2 @ e_4 @ e_1)) |
% 30.88/6.86 ( (product @ e_2 @ e_4 @ e_4)) | ( (product @ e_2 @ e_4 @ e_2)) |
% 30.88/6.86 ( (product @ e_2 @ e_4 @ e_3)) | ( (product @ e_2 @ e_4 @ e_6))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl124])).
% 30.88/6.86 thf(zip_derived_cl742, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_5)) <= (( (product @ e_2 @ e_6 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 30.88/6.86 thf(zip_derived_cl702, plain,
% 30.88/6.86 (( (product @ e_2 @ e_4 @ e_5)) <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 30.88/6.86 thf(zip_derived_cl59, plain,
% 30.88/6.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.88/6.86 (~ (product @ X0 @ X1 @ X2)
% 30.88/6.86 | ~ (product @ X0 @ X3 @ X2)
% 30.88/6.86 | (equalish @ X1 @ X3))),
% 30.88/6.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 30.88/6.86 thf(zip_derived_cl708, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_5) | (equalish @ e_4 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl702, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl1164, plain,
% 30.88/6.86 (( (equalish @ e_4 @ e_6))
% 30.88/6.86 <= (( (product @ e_2 @ e_4 @ e_5)) & ( (product @ e_2 @ e_6 @ e_5)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl742, zip_derived_cl708])).
% 30.88/6.86 thf(zip_derived_cl46, plain, (~ (equalish @ e_4 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_4_is_not_e_6])).
% 30.88/6.86 thf('208', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_6 @ e_5)) | ~ ( (product @ e_2 @ e_4 @ e_5))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl1164, zip_derived_cl46])).
% 30.88/6.86 thf('209', plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_4)) | ( (product @ e_2 @ e_6 @ e_5)) |
% 30.88/6.86 ( (product @ e_2 @ e_6 @ e_6)) | ( (product @ e_2 @ e_6 @ e_3)) |
% 30.88/6.86 ( (product @ e_2 @ e_6 @ e_2)) | ( (product @ e_2 @ e_6 @ e_1))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl633, plain,
% 30.88/6.86 (( (product @ e_2 @ e_6 @ e_4)) <= (( (product @ e_2 @ e_6 @ e_4)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 30.88/6.86 thf(zip_derived_cl3385, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_4) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl3853, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_6))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_4)) & ( (product @ e_2 @ e_6 @ e_4)))),
% 30.88/6.86 inference('s_sup-', [status(thm)],
% 30.88/6.86 [zip_derived_cl633, zip_derived_cl3385])).
% 30.88/6.86 thf(zip_derived_cl41, plain, (~ (equalish @ e_3 @ e_6)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_6])).
% 30.88/6.86 thf('210', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_3 @ e_4)) | ~ ( (product @ e_2 @ e_6 @ e_4))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl3853, zip_derived_cl41])).
% 30.88/6.86 thf('211', plain,
% 30.88/6.86 (( (product @ e_2 @ e_3 @ e_6)) | ( (product @ e_2 @ e_3 @ e_4)) |
% 30.88/6.86 ( (product @ e_2 @ e_3 @ e_3)) | ( (product @ e_2 @ e_3 @ e_2)) |
% 30.88/6.86 ( (product @ e_2 @ e_3 @ e_1)) | ( (product @ e_2 @ e_3 @ e_5))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 30.88/6.86 thf(zip_derived_cl612, plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_6)) <= (( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl569, plain,
% 30.88/6.86 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_6) | (equalish @ e_3 @ X0)))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl562, zip_derived_cl59])).
% 30.88/6.86 thf(zip_derived_cl811, plain,
% 30.88/6.86 (( (equalish @ e_3 @ e_5))
% 30.88/6.86 <= (( (product @ e_2 @ e_3 @ e_6)) & ( (product @ e_2 @ e_5 @ e_6)))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl612, zip_derived_cl569])).
% 30.88/6.86 thf(zip_derived_cl40, plain, (~ (equalish @ e_3 @ e_5)),
% 30.88/6.86 inference('cnf', [status(esa)], [e_3_is_not_e_5])).
% 30.88/6.86 thf('212', plain,
% 30.88/6.86 (~ ( (product @ e_2 @ e_5 @ e_6)) | ~ ( (product @ e_2 @ e_3 @ e_6))),
% 30.88/6.86 inference('s_sup-', [status(thm)], [zip_derived_cl811, zip_derived_cl40])).
% 30.88/6.86 thf('213', plain,
% 30.88/6.86 (( (product @ e_2 @ e_5 @ e_6)) | ( (product @ e_2 @ e_5 @ e_1)) |
% 30.88/6.86 ( (product @ e_2 @ e_5 @ e_5)) | ( (product @ e_2 @ e_5 @ e_3)) |
% 30.88/6.86 ( (product @ e_2 @ e_5 @ e_2)) | ( (product @ e_2 @ e_5 @ e_4))),
% 30.88/6.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 30.88/6.86 thf(zip_derived_cl33148, plain, ($false),
% 30.88/6.86 inference('sat_resolution*', [status(thm)],
% 30.88/6.86 ['0', '1', '2', '10', '11', '12', '13', '14', '15', '16',
% 30.88/6.86 '17', '18', '19', '20', '21', '22', '23', '24', '25', '27',
% 30.88/6.86 '29', '30', '31', '32', '33', '34', '36', '37', '38', '39',
% 30.88/6.86 '40', '41', '42', '43', '44', '45', '46', '47', '48', '49',
% 30.88/6.86 '50', '51', '52', '53', '54', '55', '56', '57', '58', '59',
% 30.88/6.86 '60', '61', '62', '63', '64', '65', '66', '67', '68', '69',
% 30.88/6.86 '70', '71', '72', '73', '74', '75', '76', '77', '78', '79',
% 30.88/6.86 '80', '81', '82', '83', '84', '85', '86', '87', '88', '89',
% 30.88/6.86 '90', '91', '92', '93', '94', '95', '96', '97', '98', '99',
% 30.88/6.86 '100', '101', '102', '103', '104', '105', '106', '107',
% 30.88/6.86 '108', '109', '110', '111', '112', '113', '114', '115',
% 30.88/6.86 '116', '117', '118', '119', '120', '121', '122', '123',
% 30.88/6.86 '124', '125', '126', '127', '128', '129', '130', '131',
% 30.88/6.86 '132', '133', '134', '135', '136', '137', '138', '139',
% 30.88/6.86 '140', '141', '142', '143', '144', '145', '146', '147',
% 30.88/6.86 '148', '149', '150', '151', '152', '153', '154', '155',
% 30.88/6.86 '156', '157', '158', '159', '160', '161', '162', '163',
% 30.88/6.86 '164', '165', '166', '167', '168', '169', '170', '171',
% 30.88/6.86 '172', '173', '174', '175', '176', '177', '178', '179',
% 30.88/6.86 '180', '181', '182', '183', '184', '185', '186', '187',
% 30.88/6.86 '188', '189', '190', '191', '192', '193', '194', '195',
% 30.88/6.86 '196', '197', '198', '199', '200', '201', '202', '203',
% 30.88/6.86 '204', '205', '206', '207', '208', '209', '210', '211',
% 30.88/6.86 '212', '213'])).
% 30.88/6.86
% 30.88/6.86 % SZS output end Refutation
% 30.88/6.86
% 30.88/6.87
% 30.88/6.87 % Terminating...
% 32.18/7.20 % Runner terminated.
% 32.18/7.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------