TSTP Solution File: GRP129-3.004 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP129-3.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.K5aazY2G5q true
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:14 EDT 2023
% Result : Unsatisfiable 10.46s 2.11s
% Output : Refutation 10.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP129-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.K5aazY2G5q true
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 01:19:00 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 10.46/2.11 % Solved by fo/fo1_av.sh.
% 10.46/2.11 % done 5550 iterations in 1.301s
% 10.46/2.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.46/2.11 % SZS output start Refutation
% 10.46/2.11 thf(e_4_type, type, e_4: $i).
% 10.46/2.11 thf(e_3_type, type, e_3: $i).
% 10.46/2.11 thf(e_2_type, type, e_2: $i).
% 10.46/2.11 thf(cycle_type, type, cycle: $i > $i > $o).
% 10.46/2.11 thf(e_1_type, type, e_1: $i).
% 10.46/2.11 thf(e_0_type, type, e_0: $i).
% 10.46/2.11 thf(next_type, type, next: $i > $i > $o).
% 10.46/2.11 thf(product_type, type, product: $i > $i > $i > $o).
% 10.46/2.11 thf(group_element_type, type, group_element: $i > $o).
% 10.46/2.11 thf(greater_type, type, greater: $i > $i > $o).
% 10.46/2.11 thf(equalish_type, type, equalish: $i > $i > $o).
% 10.46/2.11 thf(e_3_then_e_4, axiom, (next @ e_3 @ e_4)).
% 10.46/2.11 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 10.46/2.11 thf(cycle3, axiom, (cycle @ e_4 @ e_0)).
% 10.46/2.11 thf(zip_derived_cl16, plain, ( (cycle @ e_4 @ e_0)),
% 10.46/2.11 inference('cnf', [status(esa)], [cycle3])).
% 10.46/2.11 thf(element_2, axiom, (group_element @ e_2)).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(cycle2, axiom,
% 10.46/2.11 (( ~( group_element @ X ) ) | ( cycle @ X @ e_0 ) | ( cycle @ X @ e_1 ) |
% 10.46/2.11 ( cycle @ X @ e_2 ) | ( cycle @ X @ e_3 ))).
% 10.46/2.11 thf(zip_derived_cl15, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (cycle @ X0 @ e_0)
% 10.46/2.11 | (cycle @ X0 @ e_1)
% 10.46/2.11 | (cycle @ X0 @ e_2)
% 10.46/2.11 | (cycle @ X0 @ e_3))),
% 10.46/2.11 inference('cnf', [status(esa)], [cycle2])).
% 10.46/2.11 thf(zip_derived_cl50, plain,
% 10.46/2.11 (( (cycle @ e_2 @ e_0)
% 10.46/2.11 | (cycle @ e_2 @ e_1)
% 10.46/2.11 | (cycle @ e_2 @ e_2)
% 10.46/2.11 | (cycle @ e_2 @ e_3))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl15])).
% 10.46/2.11 thf(zip_derived_cl135, plain,
% 10.46/2.11 (( (cycle @ e_2 @ e_1)) <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.11 thf(cycle5, axiom,
% 10.46/2.11 (( ~( cycle @ X @ Z1 ) ) | ( ~( cycle @ Y @ e_0 ) ) |
% 10.46/2.11 ( ~( cycle @ W @ Z2 ) ) | ( ~( next @ Y @ W ) ) |
% 10.46/2.11 ( ~( greater @ Y @ X ) ) | ( ~( greater @ Z1 @ Z2 ) ))).
% 10.46/2.11 thf(zip_derived_cl18, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ X1)
% 10.46/2.11 | ~ (cycle @ X2 @ e_0)
% 10.46/2.11 | ~ (cycle @ X3 @ X4)
% 10.46/2.11 | ~ (next @ X2 @ X3)
% 10.46/2.11 | ~ (greater @ X2 @ X0)
% 10.46/2.11 | ~ (greater @ X1 @ X4))),
% 10.46/2.11 inference('cnf', [status(esa)], [cycle5])).
% 10.46/2.11 thf(zip_derived_cl153, plain,
% 10.46/2.11 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ e_0)
% 10.46/2.11 | ~ (cycle @ X2 @ X1)
% 10.46/2.11 | ~ (next @ X0 @ X2)
% 10.46/2.11 | ~ (greater @ X0 @ e_2)
% 10.46/2.11 | ~ (greater @ e_1 @ X1)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl18])).
% 10.46/2.11 thf(zip_derived_cl685, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ e_0)
% 10.46/2.11 | ~ (next @ X0 @ e_4)
% 10.46/2.11 | ~ (greater @ X0 @ e_2)
% 10.46/2.11 | ~ (greater @ e_1 @ e_0)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl153])).
% 10.46/2.11 thf(e_1_greater_e_0, axiom, (greater @ e_1 @ e_0)).
% 10.46/2.11 thf(zip_derived_cl4, plain, ( (greater @ e_1 @ e_0)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_greater_e_0])).
% 10.46/2.11 thf(zip_derived_cl689, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ e_0) | ~ (next @ X0 @ e_4) | ~ (greater @ X0 @ e_2)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.11 inference('demod', [status(thm)], [zip_derived_cl685, zip_derived_cl4])).
% 10.46/2.11 thf(zip_derived_cl693, plain,
% 10.46/2.11 (((~ (cycle @ e_3 @ e_0) | ~ (greater @ e_3 @ e_2)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl689])).
% 10.46/2.11 thf(e_3_greater_e_2, axiom, (greater @ e_3 @ e_2)).
% 10.46/2.11 thf(zip_derived_cl11, plain, ( (greater @ e_3 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_greater_e_2])).
% 10.46/2.11 thf(zip_derived_cl694, plain,
% 10.46/2.11 ((~ (cycle @ e_3 @ e_0)) <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.11 inference('demod', [status(thm)], [zip_derived_cl693, zip_derived_cl11])).
% 10.46/2.11 thf(element_3, axiom, (group_element @ e_3)).
% 10.46/2.11 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.11 thf(zip_derived_cl15, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (cycle @ X0 @ e_0)
% 10.46/2.11 | (cycle @ X0 @ e_1)
% 10.46/2.11 | (cycle @ X0 @ e_2)
% 10.46/2.11 | (cycle @ X0 @ e_3))),
% 10.46/2.11 inference('cnf', [status(esa)], [cycle2])).
% 10.46/2.11 thf(zip_derived_cl51, plain,
% 10.46/2.11 (( (cycle @ e_3 @ e_0)
% 10.46/2.11 | (cycle @ e_3 @ e_1)
% 10.46/2.11 | (cycle @ e_3 @ e_2)
% 10.46/2.11 | (cycle @ e_3 @ e_3))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl15])).
% 10.46/2.11 thf(zip_derived_cl165, plain,
% 10.46/2.11 (( (cycle @ e_3 @ e_0)) <= (( (cycle @ e_3 @ e_0)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.11 thf('0', plain, (~ ( (cycle @ e_2 @ e_1)) | ~ ( (cycle @ e_3 @ e_0))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl694, zip_derived_cl165])).
% 10.46/2.11 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 10.46/2.11 thf(zip_derived_cl16, plain, ( (cycle @ e_4 @ e_0)),
% 10.46/2.11 inference('cnf', [status(esa)], [cycle3])).
% 10.46/2.11 thf(zip_derived_cl133, plain,
% 10.46/2.11 (( (cycle @ e_2 @ e_3)) <= (( (cycle @ e_2 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.11 thf(zip_derived_cl18, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ X1)
% 10.46/2.11 | ~ (cycle @ X2 @ e_0)
% 10.46/2.11 | ~ (cycle @ X3 @ X4)
% 10.46/2.11 | ~ (next @ X2 @ X3)
% 10.46/2.11 | ~ (greater @ X2 @ X0)
% 10.46/2.11 | ~ (greater @ X1 @ X4))),
% 10.46/2.11 inference('cnf', [status(esa)], [cycle5])).
% 10.46/2.11 thf(zip_derived_cl139, plain,
% 10.46/2.11 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ e_0)
% 10.46/2.11 | ~ (cycle @ X2 @ X1)
% 10.46/2.11 | ~ (next @ X0 @ X2)
% 10.46/2.11 | ~ (greater @ X0 @ e_2)
% 10.46/2.11 | ~ (greater @ e_3 @ X1)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl18])).
% 10.46/2.11 thf(zip_derived_cl561, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ e_0)
% 10.46/2.11 | ~ (next @ X0 @ e_4)
% 10.46/2.11 | ~ (greater @ X0 @ e_2)
% 10.46/2.11 | ~ (greater @ e_3 @ e_0)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl139])).
% 10.46/2.11 thf(e_3_greater_e_0, axiom, (greater @ e_3 @ e_0)).
% 10.46/2.11 thf(zip_derived_cl6, plain, ( (greater @ e_3 @ e_0)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 10.46/2.11 thf(zip_derived_cl571, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ e_0) | ~ (next @ X0 @ e_4) | ~ (greater @ X0 @ e_2)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_3)))),
% 10.46/2.11 inference('demod', [status(thm)], [zip_derived_cl561, zip_derived_cl6])).
% 10.46/2.11 thf(zip_derived_cl576, plain,
% 10.46/2.11 (((~ (cycle @ e_3 @ e_0) | ~ (greater @ e_3 @ e_2)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl571])).
% 10.46/2.11 thf(zip_derived_cl11, plain, ( (greater @ e_3 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_greater_e_2])).
% 10.46/2.11 thf(zip_derived_cl577, plain,
% 10.46/2.11 ((~ (cycle @ e_3 @ e_0)) <= (( (cycle @ e_2 @ e_3)))),
% 10.46/2.11 inference('demod', [status(thm)], [zip_derived_cl576, zip_derived_cl11])).
% 10.46/2.11 thf(zip_derived_cl165, plain,
% 10.46/2.11 (( (cycle @ e_3 @ e_0)) <= (( (cycle @ e_3 @ e_0)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.11 thf('1', plain, (~ ( (cycle @ e_2 @ e_3)) | ~ ( (cycle @ e_3 @ e_0))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl577, zip_derived_cl165])).
% 10.46/2.11 thf(element_1, axiom, (group_element @ e_1)).
% 10.46/2.11 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.11 thf(product_total_function1, axiom,
% 10.46/2.11 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 10.46/2.11 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ) |
% 10.46/2.11 ( product @ X @ Y @ e_3 ) | ( product @ X @ Y @ e_4 ))).
% 10.46/2.11 thf(zip_derived_cl37, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | ~ (group_element @ X1)
% 10.46/2.11 | (product @ X0 @ X1 @ e_1)
% 10.46/2.11 | (product @ X0 @ X1 @ e_2)
% 10.46/2.11 | (product @ X0 @ X1 @ e_3)
% 10.46/2.11 | (product @ X0 @ X1 @ e_4))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_total_function1])).
% 10.46/2.11 thf(zip_derived_cl81, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(zip_derived_cl201, plain,
% 10.46/2.11 (( (product @ e_1 @ e_2 @ e_4)
% 10.46/2.11 | (product @ e_1 @ e_2 @ e_3)
% 10.46/2.11 | (product @ e_1 @ e_2 @ e_2)
% 10.46/2.11 | (product @ e_1 @ e_2 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl22])).
% 10.46/2.11 thf(zip_derived_cl1022, plain,
% 10.46/2.11 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl201])).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(zip_derived_cl37, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | ~ (group_element @ X1)
% 10.46/2.11 | (product @ X0 @ X1 @ e_1)
% 10.46/2.11 | (product @ X0 @ X1 @ e_2)
% 10.46/2.11 | (product @ X0 @ X1 @ e_3)
% 10.46/2.11 | (product @ X0 @ X1 @ e_4))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_total_function1])).
% 10.46/2.11 thf(zip_derived_cl82, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl37])).
% 10.46/2.11 thf(element_4, axiom, (group_element @ e_4)).
% 10.46/2.11 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_4])).
% 10.46/2.11 thf(zip_derived_cl223, plain,
% 10.46/2.11 (( (product @ e_2 @ e_4 @ e_4)
% 10.46/2.11 | (product @ e_2 @ e_4 @ e_3)
% 10.46/2.11 | (product @ e_2 @ e_4 @ e_2)
% 10.46/2.11 | (product @ e_2 @ e_4 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl24])).
% 10.46/2.11 thf(zip_derived_cl1230, plain,
% 10.46/2.11 (( (product @ e_2 @ e_4 @ e_4)) <= (( (product @ e_2 @ e_4 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl223])).
% 10.46/2.11 thf(qg3, conjecture,
% 10.46/2.11 (~( ( product @ Z1 @ Y @ Z2 ) | ( ~( product @ X @ Z1 @ Z2 ) ) |
% 10.46/2.11 ( ~( product @ Y @ X @ Z1 ) ) ))).
% 10.46/2.11 thf(zf_stmt_0, negated_conjecture,
% 10.46/2.11 (( product @ Z1 @ Y @ Z2 ) | ( ~( product @ X @ Z1 @ Z2 ) ) |
% 10.46/2.11 ( ~( product @ Y @ X @ Z1 ) )),
% 10.46/2.11 inference('cnf.neg', [status(esa)], [qg3])).
% 10.46/2.11 thf(zip_derived_cl41, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 ( (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.11 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.11 thf(zip_derived_cl1237, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 ( (product @ e_4 @ X0 @ e_4) | ~ (product @ X0 @ e_2 @ e_4)))
% 10.46/2.11 <= (( (product @ e_2 @ e_4 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1230, zip_derived_cl41])).
% 10.46/2.11 thf(zip_derived_cl3720, plain,
% 10.46/2.11 (( (product @ e_4 @ e_1 @ e_4))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_2 @ e_4 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1022, zip_derived_cl1237])).
% 10.46/2.11 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.11 thf(zip_derived_cl37, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | ~ (group_element @ X1)
% 10.46/2.11 | (product @ X0 @ X1 @ e_1)
% 10.46/2.11 | (product @ X0 @ X1 @ e_2)
% 10.46/2.11 | (product @ X0 @ X1 @ e_3)
% 10.46/2.11 | (product @ X0 @ X1 @ e_4))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_total_function1])).
% 10.46/2.11 thf(zip_derived_cl83, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.11 thf(zip_derived_cl239, plain,
% 10.46/2.11 (( (product @ e_3 @ e_1 @ e_4)
% 10.46/2.11 | (product @ e_3 @ e_1 @ e_3)
% 10.46/2.11 | (product @ e_3 @ e_1 @ e_2)
% 10.46/2.11 | (product @ e_3 @ e_1 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl21])).
% 10.46/2.11 thf(zip_derived_cl1334, plain,
% 10.46/2.11 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.11 thf(product_left_cancellation, axiom,
% 10.46/2.11 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 10.46/2.11 ( equalish @ W @ Z ))).
% 10.46/2.11 thf(zip_derived_cl40, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.11 | (equalish @ X0 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.11 thf(zip_derived_cl1340, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_4) | (equalish @ e_3 @ X0)))
% 10.46/2.11 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1334, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl6259, plain,
% 10.46/2.11 (( (equalish @ e_3 @ e_4))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_4)) &
% 10.46/2.11 ( (product @ e_2 @ e_4 @ e_4)) &
% 10.46/2.11 ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl3720, zip_derived_cl1340])).
% 10.46/2.11 thf(e_3_is_not_e_4, axiom, (~( equalish @ e_3 @ e_4 ))).
% 10.46/2.11 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.11 thf('2', plain,
% 10.46/2.11 (~ ( (product @ e_2 @ e_4 @ e_4)) | ~ ( (product @ e_1 @ e_2 @ e_4)) |
% 10.46/2.11 ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl6259, zip_derived_cl33])).
% 10.46/2.11 thf(zip_derived_cl83, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_4])).
% 10.46/2.11 thf(zip_derived_cl242, plain,
% 10.46/2.11 (( (product @ e_3 @ e_4 @ e_4)
% 10.46/2.11 | (product @ e_3 @ e_4 @ e_3)
% 10.46/2.11 | (product @ e_3 @ e_4 @ e_2)
% 10.46/2.11 | (product @ e_3 @ e_4 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl24])).
% 10.46/2.11 thf(zip_derived_cl1390, plain,
% 10.46/2.11 (( (product @ e_3 @ e_4 @ e_2)) <= (( (product @ e_3 @ e_4 @ e_2)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.11 thf(zip_derived_cl81, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_4])).
% 10.46/2.11 thf(zip_derived_cl203, plain,
% 10.46/2.11 (( (product @ e_1 @ e_4 @ e_4)
% 10.46/2.11 | (product @ e_1 @ e_4 @ e_3)
% 10.46/2.11 | (product @ e_1 @ e_4 @ e_2)
% 10.46/2.11 | (product @ e_1 @ e_4 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl24])).
% 10.46/2.11 thf(zip_derived_cl1068, plain,
% 10.46/2.11 (( (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_1 @ e_4 @ e_2)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.11 thf(zip_derived_cl40, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.11 | (equalish @ X0 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.11 thf(zip_derived_cl3255, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_2) | (equalish @ e_1 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1068, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl4177, plain,
% 10.46/2.11 (( (equalish @ e_1 @ e_3))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_2)) & ( (product @ e_3 @ e_4 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1390, zip_derived_cl3255])).
% 10.46/2.11 thf(e_1_is_not_e_3, axiom, (~( equalish @ e_1 @ e_3 ))).
% 10.46/2.11 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.11 thf('3', plain,
% 10.46/2.11 (~ ( (product @ e_3 @ e_4 @ e_2)) | ~ ( (product @ e_1 @ e_4 @ e_2))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl4177, zip_derived_cl26])).
% 10.46/2.11 thf(zip_derived_cl1232, plain,
% 10.46/2.11 (( (product @ e_2 @ e_4 @ e_2)) <= (( (product @ e_2 @ e_4 @ e_2)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl223])).
% 10.46/2.11 thf(zip_derived_cl3255, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_2) | (equalish @ e_1 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1068, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl3680, plain,
% 10.46/2.11 (( (equalish @ e_1 @ e_2))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_2)) & ( (product @ e_2 @ e_4 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1232, zip_derived_cl3255])).
% 10.46/2.11 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 10.46/2.11 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.11 thf('4', plain,
% 10.46/2.11 (~ ( (product @ e_2 @ e_4 @ e_2)) | ~ ( (product @ e_1 @ e_4 @ e_2))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl3680, zip_derived_cl25])).
% 10.46/2.11 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.11 thf(zip_derived_cl82, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl224, plain,
% 10.46/2.11 (( (product @ e_2 @ e_1 @ e_1)
% 10.46/2.11 | (product @ e_2 @ e_1 @ e_2)
% 10.46/2.11 | (product @ e_2 @ e_1 @ e_3)
% 10.46/2.11 | (product @ e_2 @ e_1 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl82])).
% 10.46/2.11 thf(zip_derived_cl1253, plain,
% 10.46/2.11 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl224])).
% 10.46/2.11 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.11 thf(zip_derived_cl81, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl206, plain,
% 10.46/2.11 (( (product @ e_1 @ e_3 @ e_1)
% 10.46/2.11 | (product @ e_1 @ e_3 @ e_2)
% 10.46/2.11 | (product @ e_1 @ e_3 @ e_3)
% 10.46/2.11 | (product @ e_1 @ e_3 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl81])).
% 10.46/2.11 thf(zip_derived_cl1128, plain,
% 10.46/2.11 (( (product @ e_1 @ e_3 @ e_3)) <= (( (product @ e_1 @ e_3 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl206])).
% 10.46/2.11 thf(zip_derived_cl41, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 ( (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.11 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.11 thf(zip_derived_cl1134, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 ( (product @ e_3 @ X0 @ e_3) | ~ (product @ X0 @ e_1 @ e_3)))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1128, zip_derived_cl41])).
% 10.46/2.11 thf(zip_derived_cl3320, plain,
% 10.46/2.11 (( (product @ e_3 @ e_2 @ e_3))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_3)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1253, zip_derived_cl1134])).
% 10.46/2.11 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_4])).
% 10.46/2.11 thf(zip_derived_cl83, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl246, plain,
% 10.46/2.11 (( (product @ e_3 @ e_4 @ e_1)
% 10.46/2.11 | (product @ e_3 @ e_4 @ e_2)
% 10.46/2.11 | (product @ e_3 @ e_4 @ e_3)
% 10.46/2.11 | (product @ e_3 @ e_4 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl83])).
% 10.46/2.11 thf(zip_derived_cl1475, plain,
% 10.46/2.11 (( (product @ e_3 @ e_4 @ e_3)) <= (( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl246])).
% 10.46/2.11 thf(product_right_cancellation, axiom,
% 10.46/2.11 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 10.46/2.11 ( equalish @ W @ Z ))).
% 10.46/2.11 thf(zip_derived_cl39, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.11 | (equalish @ X1 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.11 thf(zip_derived_cl1479, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_3) | (equalish @ e_4 @ X0)))
% 10.46/2.11 <= (( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1475, zip_derived_cl39])).
% 10.46/2.11 thf(zip_derived_cl3358, plain,
% 10.46/2.11 (( (equalish @ e_4 @ e_2))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_3)) &
% 10.46/2.11 ( (product @ e_2 @ e_1 @ e_3)) &
% 10.46/2.11 ( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl3320, zip_derived_cl1479])).
% 10.46/2.11 thf(e_4_is_not_e_2, axiom, (~( equalish @ e_4 @ e_2 ))).
% 10.46/2.11 thf(zip_derived_cl35, plain, (~ (equalish @ e_4 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 10.46/2.11 thf('5', plain,
% 10.46/2.11 (~ ( (product @ e_3 @ e_4 @ e_3)) | ~ ( (product @ e_1 @ e_3 @ e_3)) |
% 10.46/2.11 ~ ( (product @ e_2 @ e_1 @ e_3))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl3358, zip_derived_cl35])).
% 10.46/2.11 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_4])).
% 10.46/2.11 thf(zip_derived_cl37, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | ~ (group_element @ X1)
% 10.46/2.11 | (product @ X0 @ X1 @ e_1)
% 10.46/2.11 | (product @ X0 @ X1 @ e_2)
% 10.46/2.11 | (product @ X0 @ X1 @ e_3)
% 10.46/2.11 | (product @ X0 @ X1 @ e_4))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_total_function1])).
% 10.46/2.11 thf(zip_derived_cl84, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.11 thf(zip_derived_cl265, plain,
% 10.46/2.11 (( (product @ e_4 @ e_1 @ e_4)
% 10.46/2.11 | (product @ e_4 @ e_1 @ e_3)
% 10.46/2.11 | (product @ e_4 @ e_1 @ e_2)
% 10.46/2.11 | (product @ e_4 @ e_1 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl21])).
% 10.46/2.11 thf(zip_derived_cl1490, plain,
% 10.46/2.11 (( (product @ e_4 @ e_1 @ e_2)) <= (( (product @ e_4 @ e_1 @ e_2)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.11 thf(zip_derived_cl82, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.11 thf(zip_derived_cl220, plain,
% 10.46/2.11 (( (product @ e_2 @ e_1 @ e_4)
% 10.46/2.11 | (product @ e_2 @ e_1 @ e_3)
% 10.46/2.11 | (product @ e_2 @ e_1 @ e_2)
% 10.46/2.11 | (product @ e_2 @ e_1 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl21])).
% 10.46/2.11 thf(zip_derived_cl1178, plain,
% 10.46/2.11 (( (product @ e_2 @ e_1 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.11 thf(zip_derived_cl40, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.11 | (equalish @ X0 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.11 thf(zip_derived_cl3371, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_2) | (equalish @ e_2 @ X0)))
% 10.46/2.11 <= (( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1178, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl4350, plain,
% 10.46/2.11 (( (equalish @ e_2 @ e_4))
% 10.46/2.11 <= (( (product @ e_2 @ e_1 @ e_2)) & ( (product @ e_4 @ e_1 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1490, zip_derived_cl3371])).
% 10.46/2.11 thf(e_2_is_not_e_4, axiom, (~( equalish @ e_2 @ e_4 ))).
% 10.46/2.11 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.11 thf('6', plain,
% 10.46/2.11 (~ ( (product @ e_4 @ e_1 @ e_2)) | ~ ( (product @ e_2 @ e_1 @ e_2))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl4350, zip_derived_cl30])).
% 10.46/2.11 thf(zip_derived_cl81, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.11 thf(zip_derived_cl202, plain,
% 10.46/2.11 (( (product @ e_1 @ e_3 @ e_4)
% 10.46/2.11 | (product @ e_1 @ e_3 @ e_3)
% 10.46/2.11 | (product @ e_1 @ e_3 @ e_2)
% 10.46/2.11 | (product @ e_1 @ e_3 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl23])).
% 10.46/2.11 thf(zip_derived_cl1046, plain,
% 10.46/2.11 (( (product @ e_1 @ e_3 @ e_1)) <= (( (product @ e_1 @ e_3 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.11 thf(zip_derived_cl1334, plain,
% 10.46/2.11 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.11 thf(zip_derived_cl41, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 ( (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.11 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.11 thf(zip_derived_cl1341, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 ( (product @ e_1 @ X0 @ e_4) | ~ (product @ X0 @ e_3 @ e_1)))
% 10.46/2.11 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1334, zip_derived_cl41])).
% 10.46/2.11 thf(zip_derived_cl3953, plain,
% 10.46/2.11 (( (product @ e_1 @ e_1 @ e_4))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_1)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1046, zip_derived_cl1341])).
% 10.46/2.11 thf(zip_derived_cl1340, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_4) | (equalish @ e_3 @ X0)))
% 10.46/2.11 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1334, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl6874, plain,
% 10.46/2.11 (( (equalish @ e_3 @ e_1))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_1)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl3953, zip_derived_cl1340])).
% 10.46/2.11 thf(e_3_is_not_e_1, axiom, (~( equalish @ e_3 @ e_1 ))).
% 10.46/2.11 thf(zip_derived_cl31, plain, (~ (equalish @ e_3 @ e_1)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 10.46/2.11 thf('7', plain,
% 10.46/2.11 (~ ( (product @ e_1 @ e_3 @ e_1)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl6874, zip_derived_cl31])).
% 10.46/2.11 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_4])).
% 10.46/2.11 thf(zip_derived_cl81, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl207, plain,
% 10.46/2.11 (( (product @ e_1 @ e_4 @ e_1)
% 10.46/2.11 | (product @ e_1 @ e_4 @ e_2)
% 10.46/2.11 | (product @ e_1 @ e_4 @ e_3)
% 10.46/2.11 | (product @ e_1 @ e_4 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl81])).
% 10.46/2.11 thf(zip_derived_cl1162, plain,
% 10.46/2.11 (( (product @ e_1 @ e_4 @ e_3)) <= (( (product @ e_1 @ e_4 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl207])).
% 10.46/2.11 thf(zip_derived_cl1128, plain,
% 10.46/2.11 (( (product @ e_1 @ e_3 @ e_3)) <= (( (product @ e_1 @ e_3 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl206])).
% 10.46/2.11 thf(zip_derived_cl39, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.11 | (equalish @ X1 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.11 thf(zip_derived_cl1132, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_3) | (equalish @ e_3 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1128, zip_derived_cl39])).
% 10.46/2.11 thf(zip_derived_cl1821, plain,
% 10.46/2.11 (( (equalish @ e_3 @ e_4))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_3)) & ( (product @ e_1 @ e_4 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1162, zip_derived_cl1132])).
% 10.46/2.11 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.11 thf('8', plain,
% 10.46/2.11 (~ ( (product @ e_1 @ e_3 @ e_3)) | ~ ( (product @ e_1 @ e_4 @ e_3))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1821, zip_derived_cl33])).
% 10.46/2.11 thf(zip_derived_cl1046, plain,
% 10.46/2.11 (( (product @ e_1 @ e_3 @ e_1)) <= (( (product @ e_1 @ e_3 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.11 thf(zip_derived_cl1025, plain,
% 10.46/2.11 (( (product @ e_1 @ e_2 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl201])).
% 10.46/2.11 thf(zip_derived_cl39, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.11 | (equalish @ X1 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.11 thf(zip_derived_cl3049, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_1) | (equalish @ e_2 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1025, zip_derived_cl39])).
% 10.46/2.11 thf(zip_derived_cl3190, plain,
% 10.46/2.11 (( (equalish @ e_2 @ e_3))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_1)) & ( (product @ e_1 @ e_3 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1046, zip_derived_cl3049])).
% 10.46/2.11 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 10.46/2.11 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.11 thf('9', plain,
% 10.46/2.11 (~ ( (product @ e_1 @ e_2 @ e_1)) | ~ ( (product @ e_1 @ e_3 @ e_1))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl3190, zip_derived_cl29])).
% 10.46/2.11 thf(zip_derived_cl1334, plain,
% 10.46/2.11 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.11 thf(zip_derived_cl1253, plain,
% 10.46/2.11 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl224])).
% 10.46/2.11 thf(zip_derived_cl1043, plain,
% 10.46/2.11 (( (product @ e_1 @ e_3 @ e_4)) <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.11 thf(zip_derived_cl41, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 ( (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.11 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.11 thf(zip_derived_cl1050, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 ( (product @ e_3 @ X0 @ e_4) | ~ (product @ X0 @ e_1 @ e_3)))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1043, zip_derived_cl41])).
% 10.46/2.11 thf(zip_derived_cl1265, plain,
% 10.46/2.11 (( (product @ e_3 @ e_2 @ e_4))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_4)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1253, zip_derived_cl1050])).
% 10.46/2.11 thf(zip_derived_cl39, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.11 | (equalish @ X1 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.11 thf(zip_derived_cl1289, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_4) | (equalish @ e_2 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_4)) & ( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1265, zip_derived_cl39])).
% 10.46/2.11 thf(zip_derived_cl1903, plain,
% 10.46/2.11 (( (equalish @ e_2 @ e_1))
% 10.46/2.11 <= (( (product @ e_1 @ e_3 @ e_4)) &
% 10.46/2.11 ( (product @ e_2 @ e_1 @ e_3)) &
% 10.46/2.11 ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1334, zip_derived_cl1289])).
% 10.46/2.11 thf(e_2_is_not_e_1, axiom, (~( equalish @ e_2 @ e_1 ))).
% 10.46/2.11 thf(zip_derived_cl28, plain, (~ (equalish @ e_2 @ e_1)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 10.46/2.11 thf('10', plain,
% 10.46/2.11 (~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_3 @ e_4)) |
% 10.46/2.11 ~ ( (product @ e_2 @ e_1 @ e_3))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1903, zip_derived_cl28])).
% 10.46/2.11 thf(zip_derived_cl164, plain,
% 10.46/2.11 (( (cycle @ e_3 @ e_1)) <= (( (cycle @ e_3 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.11 thf(zip_derived_cl135, plain,
% 10.46/2.11 (( (cycle @ e_2 @ e_1)) <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.11 thf(cycle4, axiom,
% 10.46/2.11 (( ~( cycle @ X @ Y ) ) | ( ~( cycle @ W @ Z ) ) | ( ~( next @ X @ W ) ) |
% 10.46/2.11 ( ~( greater @ Y @ e_0 ) ) | ( ~( next @ Z @ Z1 ) ) |
% 10.46/2.11 ( equalish @ Y @ Z1 ))).
% 10.46/2.11 thf(zip_derived_cl17, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ X1)
% 10.46/2.11 | ~ (cycle @ X2 @ X3)
% 10.46/2.11 | ~ (next @ X0 @ X2)
% 10.46/2.11 | ~ (greater @ X1 @ e_0)
% 10.46/2.11 | ~ (next @ X3 @ X4)
% 10.46/2.11 | (equalish @ X1 @ X4))),
% 10.46/2.11 inference('cnf', [status(esa)], [cycle4])).
% 10.46/2.11 thf(zip_derived_cl152, plain,
% 10.46/2.11 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.11 (~ (cycle @ X1 @ X0)
% 10.46/2.11 | ~ (next @ e_2 @ X1)
% 10.46/2.11 | ~ (greater @ e_1 @ e_0)
% 10.46/2.11 | ~ (next @ X0 @ X2)
% 10.46/2.11 | (equalish @ e_1 @ X2)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl17])).
% 10.46/2.11 thf(zip_derived_cl4, plain, ( (greater @ e_1 @ e_0)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_greater_e_0])).
% 10.46/2.11 thf(zip_derived_cl156, plain,
% 10.46/2.11 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.11 (~ (cycle @ X1 @ X0)
% 10.46/2.11 | ~ (next @ e_2 @ X1)
% 10.46/2.11 | ~ (next @ X0 @ X2)
% 10.46/2.11 | (equalish @ e_1 @ X2)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.11 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl4])).
% 10.46/2.11 thf(zip_derived_cl714, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 (~ (next @ e_2 @ e_3) | ~ (next @ e_1 @ X0) | (equalish @ e_1 @ X0)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_1)) & ( (cycle @ e_3 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl156])).
% 10.46/2.11 thf(e_2_then_e_3, axiom, (next @ e_2 @ e_3)).
% 10.46/2.11 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 10.46/2.11 thf(zip_derived_cl719, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (next @ e_1 @ X0) | (equalish @ e_1 @ X0)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_1)) & ( (cycle @ e_3 @ e_1)))),
% 10.46/2.11 inference('demod', [status(thm)], [zip_derived_cl714, zip_derived_cl2])).
% 10.46/2.11 thf(e_1_then_e_2, axiom, (next @ e_1 @ e_2)).
% 10.46/2.11 thf(zip_derived_cl1, plain, ( (next @ e_1 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_then_e_2])).
% 10.46/2.11 thf(zip_derived_cl999, plain,
% 10.46/2.11 (( (equalish @ e_1 @ e_2))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_1)) & ( (cycle @ e_3 @ e_1)))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl719, zip_derived_cl1])).
% 10.46/2.11 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.11 thf('11', plain, (~ ( (cycle @ e_2 @ e_1)) | ~ ( (cycle @ e_3 @ e_1))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl999, zip_derived_cl25])).
% 10.46/2.11 thf(zip_derived_cl164, plain,
% 10.46/2.11 (( (cycle @ e_3 @ e_1)) <= (( (cycle @ e_3 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.11 thf(zip_derived_cl133, plain,
% 10.46/2.11 (( (cycle @ e_2 @ e_3)) <= (( (cycle @ e_2 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.11 thf(zip_derived_cl17, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ X1)
% 10.46/2.11 | ~ (cycle @ X2 @ X3)
% 10.46/2.11 | ~ (next @ X0 @ X2)
% 10.46/2.11 | ~ (greater @ X1 @ e_0)
% 10.46/2.11 | ~ (next @ X3 @ X4)
% 10.46/2.11 | (equalish @ X1 @ X4))),
% 10.46/2.11 inference('cnf', [status(esa)], [cycle4])).
% 10.46/2.11 thf(zip_derived_cl138, plain,
% 10.46/2.11 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.11 (~ (cycle @ X1 @ X0)
% 10.46/2.11 | ~ (next @ e_2 @ X1)
% 10.46/2.11 | ~ (greater @ e_3 @ e_0)
% 10.46/2.11 | ~ (next @ X0 @ X2)
% 10.46/2.11 | (equalish @ e_3 @ X2)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl17])).
% 10.46/2.11 thf(zip_derived_cl6, plain, ( (greater @ e_3 @ e_0)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 10.46/2.11 thf(zip_derived_cl142, plain,
% 10.46/2.11 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.11 (~ (cycle @ X1 @ X0)
% 10.46/2.11 | ~ (next @ e_2 @ X1)
% 10.46/2.11 | ~ (next @ X0 @ X2)
% 10.46/2.11 | (equalish @ e_3 @ X2)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_3)))),
% 10.46/2.11 inference('demod', [status(thm)], [zip_derived_cl138, zip_derived_cl6])).
% 10.46/2.11 thf(zip_derived_cl590, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 (~ (next @ e_2 @ e_3) | ~ (next @ e_1 @ X0) | (equalish @ e_3 @ X0)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_3)) & ( (cycle @ e_3 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl142])).
% 10.46/2.11 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 10.46/2.11 thf(zip_derived_cl595, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (next @ e_1 @ X0) | (equalish @ e_3 @ X0)))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_3)) & ( (cycle @ e_3 @ e_1)))),
% 10.46/2.11 inference('demod', [status(thm)], [zip_derived_cl590, zip_derived_cl2])).
% 10.46/2.11 thf(zip_derived_cl1, plain, ( (next @ e_1 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_then_e_2])).
% 10.46/2.11 thf(zip_derived_cl934, plain,
% 10.46/2.11 (( (equalish @ e_3 @ e_2))
% 10.46/2.11 <= (( (cycle @ e_2 @ e_3)) & ( (cycle @ e_3 @ e_1)))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl595, zip_derived_cl1])).
% 10.46/2.11 thf(e_3_is_not_e_2, axiom, (~( equalish @ e_3 @ e_2 ))).
% 10.46/2.11 thf(zip_derived_cl32, plain, (~ (equalish @ e_3 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 10.46/2.11 thf('12', plain, (~ ( (cycle @ e_2 @ e_3)) | ~ ( (cycle @ e_3 @ e_1))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl934, zip_derived_cl32])).
% 10.46/2.11 thf(zip_derived_cl1334, plain,
% 10.46/2.11 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.11 thf(cycle6, axiom,
% 10.46/2.11 (( ~( cycle @ X @ e_0 ) ) | ( ~( product @ X @ e_1 @ Y ) ) |
% 10.46/2.11 ( ~( greater @ Y @ X ) ))).
% 10.46/2.11 thf(zip_derived_cl19, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ e_0)
% 10.46/2.11 | ~ (product @ X0 @ e_1 @ X1)
% 10.46/2.11 | ~ (greater @ X1 @ X0))),
% 10.46/2.11 inference('cnf', [status(esa)], [cycle6])).
% 10.46/2.11 thf(zip_derived_cl1345, plain,
% 10.46/2.11 (((~ (cycle @ e_3 @ e_0) | ~ (greater @ e_4 @ e_3)))
% 10.46/2.11 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1334, zip_derived_cl19])).
% 10.46/2.11 thf(e_4_greater_e_3, axiom, (greater @ e_4 @ e_3)).
% 10.46/2.11 thf(zip_derived_cl13, plain, ( (greater @ e_4 @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_4_greater_e_3])).
% 10.46/2.11 thf(zip_derived_cl1351, plain,
% 10.46/2.11 ((~ (cycle @ e_3 @ e_0)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('demod', [status(thm)], [zip_derived_cl1345, zip_derived_cl13])).
% 10.46/2.11 thf(zip_derived_cl165, plain,
% 10.46/2.11 (( (cycle @ e_3 @ e_0)) <= (( (cycle @ e_3 @ e_0)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.11 thf('13', plain,
% 10.46/2.11 (~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (cycle @ e_3 @ e_0))),
% 10.46/2.11 inference('s_sup+', [status(thm)],
% 10.46/2.11 [zip_derived_cl1351, zip_derived_cl165])).
% 10.46/2.11 thf(zip_derived_cl1253, plain,
% 10.46/2.11 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl224])).
% 10.46/2.11 thf(zip_derived_cl19, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i]:
% 10.46/2.11 (~ (cycle @ X0 @ e_0)
% 10.46/2.11 | ~ (product @ X0 @ e_1 @ X1)
% 10.46/2.11 | ~ (greater @ X1 @ X0))),
% 10.46/2.11 inference('cnf', [status(esa)], [cycle6])).
% 10.46/2.11 thf(zip_derived_cl1263, plain,
% 10.46/2.11 (((~ (cycle @ e_2 @ e_0) | ~ (greater @ e_3 @ e_2)))
% 10.46/2.11 <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1253, zip_derived_cl19])).
% 10.46/2.11 thf(zip_derived_cl11, plain, ( (greater @ e_3 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_greater_e_2])).
% 10.46/2.11 thf(zip_derived_cl1266, plain,
% 10.46/2.11 ((~ (cycle @ e_2 @ e_0)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.11 inference('demod', [status(thm)], [zip_derived_cl1263, zip_derived_cl11])).
% 10.46/2.11 thf(zip_derived_cl136, plain,
% 10.46/2.11 (( (cycle @ e_2 @ e_0)) <= (( (cycle @ e_2 @ e_0)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.11 thf('14', plain,
% 10.46/2.11 (~ ( (cycle @ e_2 @ e_0)) | ~ ( (product @ e_2 @ e_1 @ e_3))),
% 10.46/2.11 inference('s_sup+', [status(thm)],
% 10.46/2.11 [zip_derived_cl1266, zip_derived_cl136])).
% 10.46/2.11 thf(zip_derived_cl83, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(zip_derived_cl240, plain,
% 10.46/2.11 (( (product @ e_3 @ e_2 @ e_4)
% 10.46/2.11 | (product @ e_3 @ e_2 @ e_3)
% 10.46/2.11 | (product @ e_3 @ e_2 @ e_2)
% 10.46/2.11 | (product @ e_3 @ e_2 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl22])).
% 10.46/2.11 thf(zip_derived_cl1357, plain,
% 10.46/2.11 (( (product @ e_3 @ e_2 @ e_2)) <= (( (product @ e_3 @ e_2 @ e_2)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl240])).
% 10.46/2.11 thf(zip_derived_cl82, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(zip_derived_cl221, plain,
% 10.46/2.11 (( (product @ e_2 @ e_2 @ e_4)
% 10.46/2.11 | (product @ e_2 @ e_2 @ e_3)
% 10.46/2.11 | (product @ e_2 @ e_2 @ e_2)
% 10.46/2.11 | (product @ e_2 @ e_2 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl22])).
% 10.46/2.11 thf(zip_derived_cl1196, plain,
% 10.46/2.11 (( (product @ e_2 @ e_2 @ e_4)) <= (( (product @ e_2 @ e_2 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl221])).
% 10.46/2.11 thf(zip_derived_cl41, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 ( (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.11 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.11 thf(zip_derived_cl1203, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 ( (product @ e_2 @ X0 @ e_4) | ~ (product @ X0 @ e_2 @ e_2)))
% 10.46/2.11 <= (( (product @ e_2 @ e_2 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1196, zip_derived_cl41])).
% 10.46/2.11 thf(zip_derived_cl4006, plain,
% 10.46/2.11 (( (product @ e_2 @ e_3 @ e_4))
% 10.46/2.11 <= (( (product @ e_2 @ e_2 @ e_4)) & ( (product @ e_3 @ e_2 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1357, zip_derived_cl1203])).
% 10.46/2.11 thf(zip_derived_cl1334, plain,
% 10.46/2.11 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.11 thf(zip_derived_cl1066, plain,
% 10.46/2.11 (( (product @ e_1 @ e_4 @ e_4)) <= (( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.11 thf(zip_derived_cl41, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 ( (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.11 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.11 thf(zip_derived_cl1073, plain,
% 10.46/2.11 ((![X0 : $i]:
% 10.46/2.11 ( (product @ e_4 @ X0 @ e_4) | ~ (product @ X0 @ e_1 @ e_4)))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1066, zip_derived_cl41])).
% 10.46/2.11 thf(zip_derived_cl1348, plain,
% 10.46/2.11 (( (product @ e_4 @ e_3 @ e_4))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1334, zip_derived_cl1073])).
% 10.46/2.11 thf(zip_derived_cl40, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.11 | (equalish @ X0 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.11 thf(zip_derived_cl1403, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_4) | (equalish @ e_4 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1348, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl6928, plain,
% 10.46/2.11 (( (equalish @ e_4 @ e_2))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.11 ( (product @ e_2 @ e_2 @ e_4)) &
% 10.46/2.11 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.11 ( (product @ e_3 @ e_2 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl4006, zip_derived_cl1403])).
% 10.46/2.11 thf(zip_derived_cl35, plain, (~ (equalish @ e_4 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 10.46/2.11 thf('15', plain,
% 10.46/2.11 (~ ( (product @ e_3 @ e_2 @ e_2)) | ~ ( (product @ e_2 @ e_2 @ e_4)) |
% 10.46/2.11 ~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl6928, zip_derived_cl35])).
% 10.46/2.11 thf(zip_derived_cl1232, plain,
% 10.46/2.11 (( (product @ e_2 @ e_4 @ e_2)) <= (( (product @ e_2 @ e_4 @ e_2)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl223])).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(zip_derived_cl37, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | ~ (group_element @ X1)
% 10.46/2.11 | (product @ X0 @ X1 @ e_1)
% 10.46/2.11 | (product @ X0 @ X1 @ e_2)
% 10.46/2.11 | (product @ X0 @ X1 @ e_3)
% 10.46/2.11 | (product @ X0 @ X1 @ e_4))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_total_function1])).
% 10.46/2.11 thf(zip_derived_cl85, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 ( (product @ X0 @ X0 @ e_4)
% 10.46/2.11 | (product @ X0 @ X0 @ e_3)
% 10.46/2.11 | (product @ X0 @ X0 @ e_2)
% 10.46/2.11 | (product @ X0 @ X0 @ e_1)
% 10.46/2.11 | ~ (group_element @ X0))),
% 10.46/2.11 inference('eq_fact', [status(thm)], [zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl284, plain,
% 10.46/2.11 (( (product @ e_2 @ e_2 @ e_4)
% 10.46/2.11 | (product @ e_2 @ e_2 @ e_3)
% 10.46/2.11 | (product @ e_2 @ e_2 @ e_2)
% 10.46/2.11 | (product @ e_2 @ e_2 @ e_1))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl85])).
% 10.46/2.11 thf(zip_derived_cl1680, plain,
% 10.46/2.11 (( (product @ e_2 @ e_2 @ e_2)) <= (( (product @ e_2 @ e_2 @ e_2)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl284])).
% 10.46/2.11 thf(zip_derived_cl39, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.11 | (equalish @ X1 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.11 thf(zip_derived_cl1683, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_2) | (equalish @ e_2 @ X0)))
% 10.46/2.11 <= (( (product @ e_2 @ e_2 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1680, zip_derived_cl39])).
% 10.46/2.11 thf(zip_derived_cl3681, plain,
% 10.46/2.11 (( (equalish @ e_2 @ e_4))
% 10.46/2.11 <= (( (product @ e_2 @ e_2 @ e_2)) & ( (product @ e_2 @ e_4 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1232, zip_derived_cl1683])).
% 10.46/2.11 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.11 thf('16', plain,
% 10.46/2.11 (~ ( (product @ e_2 @ e_4 @ e_2)) | ~ ( (product @ e_2 @ e_2 @ e_2))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl3681, zip_derived_cl30])).
% 10.46/2.11 thf(zip_derived_cl84, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(zip_derived_cl266, plain,
% 10.46/2.11 (( (product @ e_4 @ e_2 @ e_4)
% 10.46/2.11 | (product @ e_4 @ e_2 @ e_3)
% 10.46/2.11 | (product @ e_4 @ e_2 @ e_2)
% 10.46/2.11 | (product @ e_4 @ e_2 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl22])).
% 10.46/2.11 thf(zip_derived_cl1510, plain,
% 10.46/2.11 (( (product @ e_4 @ e_2 @ e_1)) <= (( (product @ e_4 @ e_2 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl266])).
% 10.46/2.11 thf(zip_derived_cl1358, plain,
% 10.46/2.11 (( (product @ e_3 @ e_2 @ e_1)) <= (( (product @ e_3 @ e_2 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl240])).
% 10.46/2.11 thf(zip_derived_cl40, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.11 | (equalish @ X0 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.11 thf(zip_derived_cl4025, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_1) | (equalish @ e_3 @ X0)))
% 10.46/2.11 <= (( (product @ e_3 @ e_2 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1358, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl4518, plain,
% 10.46/2.11 (( (equalish @ e_3 @ e_4))
% 10.46/2.11 <= (( (product @ e_3 @ e_2 @ e_1)) & ( (product @ e_4 @ e_2 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1510, zip_derived_cl4025])).
% 10.46/2.11 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.11 thf('17', plain,
% 10.46/2.11 (~ ( (product @ e_3 @ e_2 @ e_1)) | ~ ( (product @ e_4 @ e_2 @ e_1))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl4518, zip_derived_cl33])).
% 10.46/2.11 thf(zip_derived_cl82, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.11 thf(zip_derived_cl222, plain,
% 10.46/2.11 (( (product @ e_2 @ e_3 @ e_4)
% 10.46/2.11 | (product @ e_2 @ e_3 @ e_3)
% 10.46/2.11 | (product @ e_2 @ e_3 @ e_2)
% 10.46/2.11 | (product @ e_2 @ e_3 @ e_1))),
% 10.46/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl23])).
% 10.46/2.11 thf(zip_derived_cl1218, plain,
% 10.46/2.11 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl222])).
% 10.46/2.11 thf(zip_derived_cl39, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.11 | (equalish @ X1 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.11 thf(zip_derived_cl3603, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_1) | (equalish @ e_3 @ X0)))
% 10.46/2.11 <= (( (product @ e_2 @ e_3 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1218, zip_derived_cl39])).
% 10.46/2.11 thf(zip_derived_cl1233, plain,
% 10.46/2.11 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl223])).
% 10.46/2.11 thf(zip_derived_cl3732, plain,
% 10.46/2.11 (( (equalish @ e_3 @ e_4))
% 10.46/2.11 <= (( (product @ e_2 @ e_3 @ e_1)) & ( (product @ e_2 @ e_4 @ e_1)))),
% 10.46/2.11 inference('s_sup+', [status(thm)],
% 10.46/2.11 [zip_derived_cl3603, zip_derived_cl1233])).
% 10.46/2.11 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.11 thf('18', plain,
% 10.46/2.11 (~ ( (product @ e_2 @ e_4 @ e_1)) | ~ ( (product @ e_2 @ e_3 @ e_1))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl3732, zip_derived_cl33])).
% 10.46/2.11 thf(zip_derived_cl1218, plain,
% 10.46/2.11 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl222])).
% 10.46/2.11 thf(zip_derived_cl1199, plain,
% 10.46/2.11 (( (product @ e_2 @ e_2 @ e_1)) <= (( (product @ e_2 @ e_2 @ e_1)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl221])).
% 10.46/2.11 thf(zip_derived_cl39, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.11 | (equalish @ X1 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.11 thf(zip_derived_cl3526, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_1) | (equalish @ e_2 @ X0)))
% 10.46/2.11 <= (( (product @ e_2 @ e_2 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1199, zip_derived_cl39])).
% 10.46/2.11 thf(zip_derived_cl3612, plain,
% 10.46/2.11 (( (equalish @ e_2 @ e_3))
% 10.46/2.11 <= (( (product @ e_2 @ e_2 @ e_1)) & ( (product @ e_2 @ e_3 @ e_1)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1218, zip_derived_cl3526])).
% 10.46/2.11 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.11 thf('19', plain,
% 10.46/2.11 (~ ( (product @ e_2 @ e_2 @ e_1)) | ~ ( (product @ e_2 @ e_3 @ e_1))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl3612, zip_derived_cl29])).
% 10.46/2.11 thf('20', plain,
% 10.46/2.11 (( (product @ e_4 @ e_2 @ e_2)) | ( (product @ e_4 @ e_2 @ e_1)) |
% 10.46/2.11 ( (product @ e_4 @ e_2 @ e_4)) | ( (product @ e_4 @ e_2 @ e_3))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl266])).
% 10.46/2.11 thf(zip_derived_cl1509, plain,
% 10.46/2.11 (( (product @ e_4 @ e_2 @ e_2)) <= (( (product @ e_4 @ e_2 @ e_2)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl266])).
% 10.46/2.11 thf(zip_derived_cl1490, plain,
% 10.46/2.11 (( (product @ e_4 @ e_1 @ e_2)) <= (( (product @ e_4 @ e_1 @ e_2)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.11 thf(zip_derived_cl39, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.11 | (equalish @ X1 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.11 thf(zip_derived_cl4339, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ e_4 @ X0 @ e_2) | (equalish @ e_1 @ X0)))
% 10.46/2.11 <= (( (product @ e_4 @ e_1 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1490, zip_derived_cl39])).
% 10.46/2.11 thf(zip_derived_cl4472, plain,
% 10.46/2.11 (( (equalish @ e_1 @ e_2))
% 10.46/2.11 <= (( (product @ e_4 @ e_1 @ e_2)) & ( (product @ e_4 @ e_2 @ e_2)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1509, zip_derived_cl4339])).
% 10.46/2.11 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.11 thf('21', plain,
% 10.46/2.11 (~ ( (product @ e_4 @ e_2 @ e_2)) | ~ ( (product @ e_4 @ e_1 @ e_2))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl4472, zip_derived_cl25])).
% 10.46/2.11 thf(zip_derived_cl1507, plain,
% 10.46/2.11 (( (product @ e_4 @ e_2 @ e_4)) <= (( (product @ e_4 @ e_2 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl266])).
% 10.46/2.11 thf(zip_derived_cl1348, plain,
% 10.46/2.11 (( (product @ e_4 @ e_3 @ e_4))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1334, zip_derived_cl1073])).
% 10.46/2.11 thf(zip_derived_cl39, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.11 | (equalish @ X1 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.11 thf(zip_derived_cl1402, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ e_4 @ X0 @ e_4) | (equalish @ e_3 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1348, zip_derived_cl39])).
% 10.46/2.11 thf(zip_derived_cl2087, plain,
% 10.46/2.11 (( (equalish @ e_3 @ e_2))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.11 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.11 ( (product @ e_4 @ e_2 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1507, zip_derived_cl1402])).
% 10.46/2.11 thf(zip_derived_cl32, plain, (~ (equalish @ e_3 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 10.46/2.11 thf('22', plain,
% 10.46/2.11 (~ ( (product @ e_4 @ e_2 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_4)) |
% 10.46/2.11 ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl2087, zip_derived_cl32])).
% 10.46/2.11 thf(zip_derived_cl1348, plain,
% 10.46/2.11 (( (product @ e_4 @ e_3 @ e_4))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1334, zip_derived_cl1073])).
% 10.46/2.11 thf(zip_derived_cl1215, plain,
% 10.46/2.11 (( (product @ e_2 @ e_3 @ e_4)) <= (( (product @ e_2 @ e_3 @ e_4)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl222])).
% 10.46/2.11 thf(zip_derived_cl40, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.11 | (equalish @ X0 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.11 thf(zip_derived_cl1221, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_4) | (equalish @ e_2 @ X0)))
% 10.46/2.11 <= (( (product @ e_2 @ e_3 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1215, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl1967, plain,
% 10.46/2.11 (( (equalish @ e_2 @ e_4))
% 10.46/2.11 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.11 ( (product @ e_2 @ e_3 @ e_4)) &
% 10.46/2.11 ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1348, zip_derived_cl1221])).
% 10.46/2.11 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.11 thf('23', plain,
% 10.46/2.11 (~ ( (product @ e_2 @ e_3 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_4)) |
% 10.46/2.11 ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1967, zip_derived_cl30])).
% 10.46/2.11 thf('24', plain,
% 10.46/2.11 (( (product @ e_2 @ e_2 @ e_2)) | ( (product @ e_2 @ e_2 @ e_4)) |
% 10.46/2.11 ( (product @ e_2 @ e_2 @ e_3)) | ( (product @ e_2 @ e_2 @ e_1))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl221])).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(zip_derived_cl84, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_4 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl270, plain,
% 10.46/2.11 (( (product @ e_4 @ e_2 @ e_1)
% 10.46/2.11 | (product @ e_4 @ e_2 @ e_2)
% 10.46/2.11 | (product @ e_4 @ e_2 @ e_3)
% 10.46/2.11 | (product @ e_4 @ e_2 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl84])).
% 10.46/2.11 thf(zip_derived_cl1595, plain,
% 10.46/2.11 (( (product @ e_4 @ e_2 @ e_3)) <= (( (product @ e_4 @ e_2 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl270])).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(zip_derived_cl81, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_1 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl205, plain,
% 10.46/2.11 (( (product @ e_1 @ e_2 @ e_1)
% 10.46/2.11 | (product @ e_1 @ e_2 @ e_2)
% 10.46/2.11 | (product @ e_1 @ e_2 @ e_3)
% 10.46/2.11 | (product @ e_1 @ e_2 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl81])).
% 10.46/2.11 thf(zip_derived_cl1115, plain,
% 10.46/2.11 (( (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl205])).
% 10.46/2.11 thf(zip_derived_cl40, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.11 | (equalish @ X0 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.11 thf(zip_derived_cl1120, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_1 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1115, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl1788, plain,
% 10.46/2.11 (( (equalish @ e_1 @ e_4))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_4 @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1595, zip_derived_cl1120])).
% 10.46/2.11 thf(e_1_is_not_e_4, axiom, (~( equalish @ e_1 @ e_4 ))).
% 10.46/2.11 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.11 thf('25', plain,
% 10.46/2.11 (~ ( (product @ e_4 @ e_2 @ e_3)) | ~ ( (product @ e_1 @ e_2 @ e_3))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1788, zip_derived_cl27])).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(zip_derived_cl83, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_3 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl244, plain,
% 10.46/2.11 (( (product @ e_3 @ e_2 @ e_1)
% 10.46/2.11 | (product @ e_3 @ e_2 @ e_2)
% 10.46/2.11 | (product @ e_3 @ e_2 @ e_3)
% 10.46/2.11 | (product @ e_3 @ e_2 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl83])).
% 10.46/2.11 thf(zip_derived_cl1435, plain,
% 10.46/2.11 (( (product @ e_3 @ e_2 @ e_3)) <= (( (product @ e_3 @ e_2 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl244])).
% 10.46/2.11 thf(zip_derived_cl1120, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_1 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1115, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl1787, plain,
% 10.46/2.11 (( (equalish @ e_1 @ e_3))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_3 @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1435, zip_derived_cl1120])).
% 10.46/2.11 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.11 thf('26', plain,
% 10.46/2.11 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_3 @ e_2 @ e_3))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1787, zip_derived_cl26])).
% 10.46/2.11 thf(zip_derived_cl22, plain, ( (group_element @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [element_2])).
% 10.46/2.11 thf(zip_derived_cl82, plain,
% 10.46/2.11 (![X0 : $i]:
% 10.46/2.11 (~ (group_element @ X0)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_1)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_2)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_3)
% 10.46/2.11 | (product @ e_2 @ X0 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl37])).
% 10.46/2.11 thf(zip_derived_cl225, plain,
% 10.46/2.11 (( (product @ e_2 @ e_2 @ e_1)
% 10.46/2.11 | (product @ e_2 @ e_2 @ e_2)
% 10.46/2.11 | (product @ e_2 @ e_2 @ e_3)
% 10.46/2.11 | (product @ e_2 @ e_2 @ e_4))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl82])).
% 10.46/2.11 thf(zip_derived_cl1276, plain,
% 10.46/2.11 (( (product @ e_2 @ e_2 @ e_3)) <= (( (product @ e_2 @ e_2 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl225])).
% 10.46/2.11 thf(zip_derived_cl1120, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_1 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1115, zip_derived_cl40])).
% 10.46/2.11 thf(zip_derived_cl1786, plain,
% 10.46/2.11 (( (equalish @ e_1 @ e_2))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_2 @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)],
% 10.46/2.11 [zip_derived_cl1276, zip_derived_cl1120])).
% 10.46/2.11 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.11 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.11 thf('27', plain,
% 10.46/2.11 (~ ( (product @ e_2 @ e_2 @ e_3)) | ~ ( (product @ e_1 @ e_2 @ e_3))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1786, zip_derived_cl25])).
% 10.46/2.11 thf(zip_derived_cl1162, plain,
% 10.46/2.11 (( (product @ e_1 @ e_4 @ e_3)) <= (( (product @ e_1 @ e_4 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl207])).
% 10.46/2.11 thf(zip_derived_cl1115, plain,
% 10.46/2.11 (( (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.11 inference('split', [status(esa)], [zip_derived_cl205])).
% 10.46/2.11 thf(zip_derived_cl39, plain,
% 10.46/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.11 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.11 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.11 | (equalish @ X1 @ X3))),
% 10.46/2.11 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.11 thf(zip_derived_cl1119, plain,
% 10.46/2.11 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_3) | (equalish @ e_2 @ X0)))
% 10.46/2.11 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1115, zip_derived_cl39])).
% 10.46/2.11 thf(zip_derived_cl1777, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_1 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1162, zip_derived_cl1119])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('28', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_1 @ e_4 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1777, zip_derived_cl30])).
% 10.46/2.12 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.12 thf(zip_derived_cl85, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 ( (product @ X0 @ X0 @ e_4)
% 10.46/2.12 | (product @ X0 @ X0 @ e_3)
% 10.46/2.12 | (product @ X0 @ X0 @ e_2)
% 10.46/2.12 | (product @ X0 @ X0 @ e_1)
% 10.46/2.12 | ~ (group_element @ X0))),
% 10.46/2.12 inference('eq_fact', [status(thm)], [zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl283, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_4)
% 10.46/2.12 | (product @ e_1 @ e_1 @ e_3)
% 10.46/2.12 | (product @ e_1 @ e_1 @ e_2)
% 10.46/2.12 | (product @ e_1 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl85])).
% 10.46/2.12 thf(zip_derived_cl1660, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_2)) <= (( (product @ e_1 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl283])).
% 10.46/2.12 thf(zip_derived_cl1115, plain,
% 10.46/2.12 (( (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl205])).
% 10.46/2.12 thf(zip_derived_cl41, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 ( (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.12 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.12 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.12 thf(zip_derived_cl1121, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_2 @ X0 @ e_3) | ~ (product @ X0 @ e_1 @ e_2)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1115, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl2713, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1660, zip_derived_cl1121])).
% 10.46/2.12 thf(zip_derived_cl1050, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_3 @ X0 @ e_4) | ~ (product @ X0 @ e_1 @ e_3)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1043, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl2736, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) &
% 10.46/2.12 ( (product @ e_1 @ e_2 @ e_3)) &
% 10.46/2.12 ( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl2713, zip_derived_cl1050])).
% 10.46/2.12 thf(zip_derived_cl1237, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_4 @ X0 @ e_4) | ~ (product @ X0 @ e_2 @ e_4)))
% 10.46/2.12 <= (( (product @ e_2 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1230, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl3725, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) &
% 10.46/2.12 ( (product @ e_1 @ e_2 @ e_3)) &
% 10.46/2.12 ( (product @ e_1 @ e_3 @ e_4)) &
% 10.46/2.12 ( (product @ e_2 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl2736, zip_derived_cl1237])).
% 10.46/2.12 thf(zip_derived_cl1043, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_4)) <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1049, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1043, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3789, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) &
% 10.46/2.12 ( (product @ e_1 @ e_2 @ e_3)) &
% 10.46/2.12 ( (product @ e_1 @ e_3 @ e_4)) &
% 10.46/2.12 ( (product @ e_2 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl3725, zip_derived_cl1049])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('29', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_2 @ e_4 @ e_4)) |
% 10.46/2.12 ~ ( (product @ e_1 @ e_3 @ e_4)) | ~ ( (product @ e_1 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3789, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl2736, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) &
% 10.46/2.12 ( (product @ e_1 @ e_2 @ e_3)) &
% 10.46/2.12 ( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl2713, zip_derived_cl1050])).
% 10.46/2.12 thf(zip_derived_cl1388, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_4)) <= (( (product @ e_3 @ e_4 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1393, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_4) | (equalish @ e_4 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1388, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl2809, plain,
% 10.46/2.12 (( (equalish @ e_4 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) &
% 10.46/2.12 ( (product @ e_1 @ e_2 @ e_3)) &
% 10.46/2.12 ( (product @ e_1 @ e_3 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl2736, zip_derived_cl1393])).
% 10.46/2.12 thf(zip_derived_cl35, plain, (~ (equalish @ e_4 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 10.46/2.12 thf('30', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_4 @ e_4)) | ~ ( (product @ e_1 @ e_3 @ e_4)) |
% 10.46/2.12 ~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_1 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2809, zip_derived_cl35])).
% 10.46/2.12 thf(zip_derived_cl1043, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_4)) <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl1475, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_3)) <= (( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl246])).
% 10.46/2.12 thf(zip_derived_cl41, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 ( (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.12 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.12 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.12 thf(zip_derived_cl1481, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_4 @ X0 @ e_3) | ~ (product @ X0 @ e_3 @ e_4)))
% 10.46/2.12 <= (( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1475, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl4363, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_4)) & ( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1043, zip_derived_cl1481])).
% 10.46/2.12 thf(zip_derived_cl2713, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1660, zip_derived_cl1121])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl2729, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_3) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2713, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl7789, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) &
% 10.46/2.12 ( (product @ e_1 @ e_2 @ e_3)) &
% 10.46/2.12 ( (product @ e_1 @ e_3 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl4363, zip_derived_cl2729])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('31', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_4 @ e_3)) | ~ ( (product @ e_1 @ e_3 @ e_4)) |
% 10.46/2.12 ~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_1 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl7789, zip_derived_cl30])).
% 10.46/2.12 thf(zip_derived_cl2713, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1660, zip_derived_cl1121])).
% 10.46/2.12 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_4])).
% 10.46/2.12 thf(zip_derived_cl82, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_2 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_2 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_2 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_2 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl227, plain,
% 10.46/2.12 (( (product @ e_2 @ e_4 @ e_1)
% 10.46/2.12 | (product @ e_2 @ e_4 @ e_2)
% 10.46/2.12 | (product @ e_2 @ e_4 @ e_3)
% 10.46/2.12 | (product @ e_2 @ e_4 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl82])).
% 10.46/2.12 thf(zip_derived_cl1313, plain,
% 10.46/2.12 (( (product @ e_2 @ e_4 @ e_3)) <= (( (product @ e_2 @ e_4 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl227])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1317, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_3) | (equalish @ e_4 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1313, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl2744, plain,
% 10.46/2.12 (( (equalish @ e_4 @ e_1))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) &
% 10.46/2.12 ( (product @ e_1 @ e_2 @ e_3)) &
% 10.46/2.12 ( (product @ e_2 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl2713, zip_derived_cl1317])).
% 10.46/2.12 thf(e_4_is_not_e_1, axiom, (~( equalish @ e_4 @ e_1 ))).
% 10.46/2.12 thf(zip_derived_cl34, plain, (~ (equalish @ e_4 @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 10.46/2.12 thf('32', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_2 @ e_4 @ e_3)) |
% 10.46/2.12 ~ ( (product @ e_1 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2744, zip_derived_cl34])).
% 10.46/2.12 thf('33', plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_4)) | ( (product @ e_1 @ e_3 @ e_1)) |
% 10.46/2.12 ( (product @ e_1 @ e_3 @ e_2)) | ( (product @ e_1 @ e_3 @ e_3))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl1069, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_1)) <= (( (product @ e_1 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl1046, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_1)) <= (( (product @ e_1 @ e_3 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3183, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_1) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1046, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3291, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_1)) & ( (product @ e_1 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1069, zip_derived_cl3183])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('34', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_4 @ e_1)) | ~ ( (product @ e_1 @ e_3 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3291, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl1128, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_3)) <= (( (product @ e_1 @ e_3 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl206])).
% 10.46/2.12 thf(zip_derived_cl1119, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_3) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1115, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl1776, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_1 @ e_3 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1128, zip_derived_cl1119])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('35', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_1 @ e_3 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1776, zip_derived_cl29])).
% 10.46/2.12 thf(zip_derived_cl1024, plain,
% 10.46/2.12 (( (product @ e_1 @ e_2 @ e_2)) <= (( (product @ e_1 @ e_2 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl201])).
% 10.46/2.12 thf(zip_derived_cl1660, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_2)) <= (( (product @ e_1 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl283])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1663, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_2) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1660, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3008, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1024, zip_derived_cl1663])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('36', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_2 @ e_2)) | ~ ( (product @ e_1 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3008, zip_derived_cl25])).
% 10.46/2.12 thf(zip_derived_cl1660, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_2)) <= (( (product @ e_1 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl283])).
% 10.46/2.12 thf(zip_derived_cl1022, plain,
% 10.46/2.12 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl201])).
% 10.46/2.12 thf(zip_derived_cl41, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 ( (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.12 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.12 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.12 thf(zip_derived_cl1029, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_2 @ X0 @ e_4) | ~ (product @ X0 @ e_1 @ e_2)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1022, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl1671, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1660, zip_derived_cl1029])).
% 10.46/2.12 thf(zip_derived_cl19, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ e_0)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X1)
% 10.46/2.12 | ~ (greater @ X1 @ X0))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle6])).
% 10.46/2.12 thf(zip_derived_cl1749, plain,
% 10.46/2.12 (((~ (cycle @ e_2 @ e_0) | ~ (greater @ e_4 @ e_2)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1671, zip_derived_cl19])).
% 10.46/2.12 thf(e_4_greater_e_2, axiom, (greater @ e_4 @ e_2)).
% 10.46/2.12 thf(zip_derived_cl12, plain, ( (greater @ e_4 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_greater_e_2])).
% 10.46/2.12 thf(zip_derived_cl1754, plain,
% 10.46/2.12 ((~ (cycle @ e_2 @ e_0))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl1749, zip_derived_cl12])).
% 10.46/2.12 thf(zip_derived_cl136, plain,
% 10.46/2.12 (( (cycle @ e_2 @ e_0)) <= (( (cycle @ e_2 @ e_0)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.12 thf('37', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_1 @ e_2)) | ~ ( (product @ e_1 @ e_2 @ e_4)) |
% 10.46/2.12 ~ ( (cycle @ e_2 @ e_0))),
% 10.46/2.12 inference('s_sup+', [status(thm)],
% 10.46/2.12 [zip_derived_cl1754, zip_derived_cl136])).
% 10.46/2.12 thf(zip_derived_cl1671, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1660, zip_derived_cl1029])).
% 10.46/2.12 thf(cycle7, axiom,
% 10.46/2.12 (( ~( cycle @ X @ Y ) ) | ( ~( product @ X @ e_1 @ Z ) ) |
% 10.46/2.12 ( ~( greater @ Y @ e_0 ) ) | ( ~( next @ X @ X1 ) ) |
% 10.46/2.12 ( equalish @ Z @ X1 ))).
% 10.46/2.12 thf(zip_derived_cl20, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle7])).
% 10.46/2.12 thf(zip_derived_cl1750, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ e_2 @ X0)
% 10.46/2.12 | ~ (greater @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ e_2 @ X1)
% 10.46/2.12 | (equalish @ e_4 @ X1)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1671, zip_derived_cl20])).
% 10.46/2.12 thf('38', plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))) |
% 10.46/2.12 (![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1))) |
% 10.46/2.12 ~ ( (product @ e_1 @ e_1 @ e_2)) | ~ ( (product @ e_1 @ e_2 @ e_4))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1750])).
% 10.46/2.12 thf(zip_derived_cl1022, plain,
% 10.46/2.12 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl201])).
% 10.46/2.12 thf(zip_derived_cl81, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_1 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_1 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_1 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_1 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.12 thf(zip_derived_cl200, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_4)
% 10.46/2.12 | (product @ e_1 @ e_1 @ e_3)
% 10.46/2.12 | (product @ e_1 @ e_1 @ e_2)
% 10.46/2.12 | (product @ e_1 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl21])).
% 10.46/2.12 thf(zip_derived_cl1002, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_4)) <= (( (product @ e_1 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl200])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1007, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1002, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl1079, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_4)) & ( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1022, zip_derived_cl1007])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('39', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_2 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1079, zip_derived_cl25])).
% 10.46/2.12 thf(zip_derived_cl1233, plain,
% 10.46/2.12 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl223])).
% 10.46/2.12 thf(zip_derived_cl1069, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_1)) <= (( (product @ e_1 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3284, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_1) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1069, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3702, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_1)) & ( (product @ e_2 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1233, zip_derived_cl3284])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('40', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_4 @ e_1)) | ~ ( (product @ e_2 @ e_4 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3702, zip_derived_cl25])).
% 10.46/2.12 thf(zip_derived_cl1391, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_1)) <= (( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl3284, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_1) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1069, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4203, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_1)) & ( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1391, zip_derived_cl3284])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('41', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_4 @ e_1)) | ~ ( (product @ e_3 @ e_4 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4203, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1069, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_1)) <= (( (product @ e_1 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl3049, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_1) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1025, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3290, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_1)) & ( (product @ e_1 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1069, zip_derived_cl3049])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('42', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_4 @ e_1)) | ~ ( (product @ e_1 @ e_2 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3290, zip_derived_cl30])).
% 10.46/2.12 thf(zip_derived_cl1069, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_1)) <= (( (product @ e_1 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl1005, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_1)) <= (( (product @ e_1 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl200])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl2902, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_1) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1005, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3289, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)) & ( (product @ e_1 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1069, zip_derived_cl2902])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('43', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_4 @ e_1)) | ~ ( (product @ e_1 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3289, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl1355, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_4)) <= (( (product @ e_3 @ e_2 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl240])).
% 10.46/2.12 thf(zip_derived_cl1022, plain,
% 10.46/2.12 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl201])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1028, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1022, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl1366, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_3 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1355, zip_derived_cl1028])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('44', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_2 @ e_4)) | ~ ( (product @ e_1 @ e_2 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1366, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1066, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_4)) <= (( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl1022, plain,
% 10.46/2.12 (( (product @ e_1 @ e_2 @ e_4)) <= (( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl201])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1027, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_4) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1022, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl1274, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1066, zip_derived_cl1027])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('45', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_4 @ e_4)) | ~ ( (product @ e_1 @ e_2 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1274, zip_derived_cl30])).
% 10.46/2.12 thf(zip_derived_cl83, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.12 thf(zip_derived_cl241, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_4)
% 10.46/2.12 | (product @ e_3 @ e_3 @ e_3)
% 10.46/2.12 | (product @ e_3 @ e_3 @ e_2)
% 10.46/2.12 | (product @ e_3 @ e_3 @ e_1))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl23])).
% 10.46/2.12 thf(zip_derived_cl1370, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_4)) <= (( (product @ e_3 @ e_3 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl241])).
% 10.46/2.12 thf(zip_derived_cl1334, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1339, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1334, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl2192, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_4)) & ( (product @ e_3 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1370, zip_derived_cl1339])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('46', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_3 @ e_4)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2192, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.12 thf(zip_derived_cl82, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_2 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_2 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_2 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_2 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl226, plain,
% 10.46/2.12 (( (product @ e_2 @ e_3 @ e_1)
% 10.46/2.12 | (product @ e_2 @ e_3 @ e_2)
% 10.46/2.12 | (product @ e_2 @ e_3 @ e_3)
% 10.46/2.12 | (product @ e_2 @ e_3 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl82])).
% 10.46/2.12 thf(zip_derived_cl1298, plain,
% 10.46/2.12 (( (product @ e_2 @ e_3 @ e_3)) <= (( (product @ e_2 @ e_3 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl226])).
% 10.46/2.12 thf(zip_derived_cl1253, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl224])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1257, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_3) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1253, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl2038, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_3)) & ( (product @ e_2 @ e_3 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1298, zip_derived_cl1257])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('47', plain,
% 10.46/2.12 (~ ( (product @ e_2 @ e_3 @ e_3)) | ~ ( (product @ e_2 @ e_1 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2038, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1435, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_3)) <= (( (product @ e_3 @ e_2 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl244])).
% 10.46/2.12 thf(zip_derived_cl1215, plain,
% 10.46/2.12 (( (product @ e_2 @ e_3 @ e_4)) <= (( (product @ e_2 @ e_3 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl222])).
% 10.46/2.12 thf(zip_derived_cl41, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 ( (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.12 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.12 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.12 thf(zip_derived_cl1222, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_3 @ X0 @ e_4) | ~ (product @ X0 @ e_2 @ e_3)))
% 10.46/2.12 <= (( (product @ e_2 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1215, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl3624, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_2 @ e_3 @ e_4)) & ( (product @ e_3 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1435, zip_derived_cl1222])).
% 10.46/2.12 thf(zip_derived_cl1221, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_4) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1215, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl6182, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_2 @ e_3 @ e_4)) & ( (product @ e_3 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl3624, zip_derived_cl1221])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('48', plain,
% 10.46/2.12 (~ ( (product @ e_2 @ e_3 @ e_4)) | ~ ( (product @ e_3 @ e_2 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl6182, zip_derived_cl29])).
% 10.46/2.12 thf('49', plain,
% 10.46/2.12 (( (product @ e_2 @ e_3 @ e_2)) | ( (product @ e_2 @ e_3 @ e_4)) |
% 10.46/2.12 ( (product @ e_2 @ e_3 @ e_1)) | ( (product @ e_2 @ e_3 @ e_3))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl222])).
% 10.46/2.12 thf(zip_derived_cl1391, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_1)) <= (( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl1373, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_1)) <= (( (product @ e_3 @ e_3 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl241])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl4100, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_1) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_3 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1373, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl4207, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_3 @ e_3 @ e_1)) & ( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1391, zip_derived_cl4100])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('50', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_3 @ e_1)) | ~ ( (product @ e_3 @ e_4 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4207, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl1373, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_1)) <= (( (product @ e_3 @ e_3 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl241])).
% 10.46/2.12 thf(zip_derived_cl1358, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_1)) <= (( (product @ e_3 @ e_2 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl240])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl4024, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_1) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_2 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1358, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl4111, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_3 @ e_2 @ e_1)) & ( (product @ e_3 @ e_3 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1373, zip_derived_cl4024])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('51', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_3 @ e_1)) | ~ ( (product @ e_3 @ e_2 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4111, zip_derived_cl29])).
% 10.46/2.12 thf(zip_derived_cl1373, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_1)) <= (( (product @ e_3 @ e_3 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl241])).
% 10.46/2.12 thf(zip_derived_cl1218, plain,
% 10.46/2.12 (( (product @ e_2 @ e_3 @ e_1)) <= (( (product @ e_2 @ e_3 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl222])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3604, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_1) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_3 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1218, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4109, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_2 @ e_3 @ e_1)) & ( (product @ e_3 @ e_3 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1373, zip_derived_cl3604])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('52', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_3 @ e_1)) | ~ ( (product @ e_2 @ e_3 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4109, zip_derived_cl29])).
% 10.46/2.12 thf('53', plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_1)) | ( (product @ e_3 @ e_3 @ e_3)) |
% 10.46/2.12 ( (product @ e_3 @ e_3 @ e_2)) | ( (product @ e_3 @ e_3 @ e_4))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl241])).
% 10.46/2.12 thf(zip_derived_cl1334, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl1162, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_3)) <= (( (product @ e_1 @ e_4 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl207])).
% 10.46/2.12 thf(zip_derived_cl41, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 ( (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.12 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.12 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.12 thf(zip_derived_cl1168, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_4 @ X0 @ e_3) | ~ (product @ X0 @ e_1 @ e_4)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1162, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl3423, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1334, zip_derived_cl1168])).
% 10.46/2.12 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.12 thf(zip_derived_cl83, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl245, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_1)
% 10.46/2.12 | (product @ e_3 @ e_3 @ e_2)
% 10.46/2.12 | (product @ e_3 @ e_3 @ e_3)
% 10.46/2.12 | (product @ e_3 @ e_3 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl83])).
% 10.46/2.12 thf(zip_derived_cl1455, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_3)) <= (( (product @ e_3 @ e_3 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl245])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1460, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_3) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_3 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1455, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl5635, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_3 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl3423, zip_derived_cl1460])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('54', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_3 @ e_3)) | ~ ( (product @ e_3 @ e_1 @ e_4)) |
% 10.46/2.12 ~ ( (product @ e_1 @ e_4 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl5635, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl1475, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_3)) <= (( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl246])).
% 10.46/2.12 thf(zip_derived_cl1162, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_3)) <= (( (product @ e_1 @ e_4 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl207])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1167, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_3) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1162, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl1863, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)) & ( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1475, zip_derived_cl1167])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('55', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_4 @ e_3)) | ~ ( (product @ e_1 @ e_4 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1863, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1045, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_2)) <= (( (product @ e_1 @ e_3 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.12 thf(zip_derived_cl85, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 ( (product @ X0 @ X0 @ e_4)
% 10.46/2.12 | (product @ X0 @ X0 @ e_3)
% 10.46/2.12 | (product @ X0 @ X0 @ e_2)
% 10.46/2.12 | (product @ X0 @ X0 @ e_1)
% 10.46/2.12 | ~ (group_element @ X0))),
% 10.46/2.12 inference('eq_fact', [status(thm)], [zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl285, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_4)
% 10.46/2.12 | (product @ e_3 @ e_3 @ e_3)
% 10.46/2.12 | (product @ e_3 @ e_3 @ e_2)
% 10.46/2.12 | (product @ e_3 @ e_3 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl85])).
% 10.46/2.12 thf(zip_derived_cl1691, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_2)) <= (( (product @ e_3 @ e_3 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl285])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1695, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_2) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1691, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3112, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_1))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_2)) & ( (product @ e_3 @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1045, zip_derived_cl1695])).
% 10.46/2.12 thf(zip_derived_cl31, plain, (~ (equalish @ e_3 @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 10.46/2.12 thf('56', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_3 @ e_2)) | ~ ( (product @ e_3 @ e_3 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3112, zip_derived_cl31])).
% 10.46/2.12 thf(zip_derived_cl1217, plain,
% 10.46/2.12 (( (product @ e_2 @ e_3 @ e_2)) <= (( (product @ e_2 @ e_3 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl222])).
% 10.46/2.12 thf(zip_derived_cl1045, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_2)) <= (( (product @ e_1 @ e_3 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3107, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_2) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1045, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3590, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_2)) & ( (product @ e_2 @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1217, zip_derived_cl3107])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('57', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_3 @ e_2)) | ~ ( (product @ e_2 @ e_3 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3590, zip_derived_cl25])).
% 10.46/2.12 thf(zip_derived_cl1068, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_1 @ e_4 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl1045, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_2)) <= (( (product @ e_1 @ e_3 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3106, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_2) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1045, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3263, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_2)) & ( (product @ e_1 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1068, zip_derived_cl3106])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('58', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_3 @ e_2)) | ~ ( (product @ e_1 @ e_4 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3263, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl1045, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_2)) <= (( (product @ e_1 @ e_3 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl1024, plain,
% 10.46/2.12 (( (product @ e_1 @ e_2 @ e_2)) <= (( (product @ e_1 @ e_2 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl201])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3001, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_2) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1024, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3115, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_2)) & ( (product @ e_1 @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1045, zip_derived_cl3001])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('59', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_3 @ e_2)) | ~ ( (product @ e_1 @ e_2 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3115, zip_derived_cl29])).
% 10.46/2.12 thf(zip_derived_cl1045, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_2)) <= (( (product @ e_1 @ e_3 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl1663, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_2) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1660, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3114, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1045, zip_derived_cl1663])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('60', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_3 @ e_2)) | ~ ( (product @ e_1 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3114, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1046, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_1)) <= (( (product @ e_1 @ e_3 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl2902, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_1) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1005, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3189, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)) & ( (product @ e_1 @ e_3 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1046, zip_derived_cl2902])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('61', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_3 @ e_1)) | ~ ( (product @ e_1 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3189, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1336, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_2)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl3371, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_2) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1178, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3877, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_2)) & ( (product @ e_3 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1336, zip_derived_cl3371])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('62', plain,
% 10.46/2.12 (~ ( (product @ e_2 @ e_1 @ e_2)) | ~ ( (product @ e_3 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3877, zip_derived_cl29])).
% 10.46/2.12 thf(zip_derived_cl1490, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_2)) <= (( (product @ e_4 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.12 thf(zip_derived_cl1336, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_2)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3867, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_2) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1336, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4351, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_2)) & ( (product @ e_4 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1490, zip_derived_cl3867])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('63', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_1 @ e_2)) | ~ ( (product @ e_3 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4351, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.12 thf(zip_derived_cl83, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_3 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl243, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_1)
% 10.46/2.12 | (product @ e_3 @ e_1 @ e_2)
% 10.46/2.12 | (product @ e_3 @ e_1 @ e_3)
% 10.46/2.12 | (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl83])).
% 10.46/2.12 thf(zip_derived_cl1409, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl243])).
% 10.46/2.12 thf(zip_derived_cl1253, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl224])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1258, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_3) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1253, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl2053, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_3)) & ( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1409, zip_derived_cl1258])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('64', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_1 @ e_3)) | ~ ( (product @ e_2 @ e_1 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2053, zip_derived_cl29])).
% 10.46/2.12 thf(zip_derived_cl1491, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_1)) <= (( (product @ e_4 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.12 thf(zip_derived_cl1337, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_1)) <= (( (product @ e_3 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3930, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_1) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1337, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4414, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_1)) & ( (product @ e_4 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1491, zip_derived_cl3930])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('65', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_1 @ e_1)) | ~ ( (product @ e_4 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4414, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl1491, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_1)) <= (( (product @ e_4 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.12 thf(zip_derived_cl1005, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_1)) <= (( (product @ e_1 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl200])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl2903, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_1) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1005, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4412, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)) & ( (product @ e_4 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1491, zip_derived_cl2903])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('66', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_1 @ e_1)) | ~ ( (product @ e_1 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4412, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.12 thf(zip_derived_cl84, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl269, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_1)
% 10.46/2.12 | (product @ e_4 @ e_1 @ e_2)
% 10.46/2.12 | (product @ e_4 @ e_1 @ e_3)
% 10.46/2.12 | (product @ e_4 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl84])).
% 10.46/2.12 thf(zip_derived_cl1567, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_3)) <= (( (product @ e_4 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl269])).
% 10.46/2.12 thf(zip_derived_cl1409, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl243])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1414, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_3) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1409, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl2344, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_3)) & ( (product @ e_4 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1567, zip_derived_cl1414])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('67', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_1 @ e_3)) | ~ ( (product @ e_4 @ e_1 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2344, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl1337, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_1)) <= (( (product @ e_3 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl1179, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_1)) <= (( (product @ e_2 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3435, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_1) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1179, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3940, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_1)) & ( (product @ e_3 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1337, zip_derived_cl3435])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('68', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_1 @ e_1)) | ~ ( (product @ e_2 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3940, zip_derived_cl29])).
% 10.46/2.12 thf(zip_derived_cl1336, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_2)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl1660, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_2)) <= (( (product @ e_1 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl283])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1664, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_2) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1660, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3876, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_3 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1336, zip_derived_cl1664])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('69', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_1 @ e_2)) | ~ ( (product @ e_3 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3876, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1313, plain,
% 10.46/2.12 (( (product @ e_2 @ e_4 @ e_3)) <= (( (product @ e_2 @ e_4 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl227])).
% 10.46/2.12 thf(zip_derived_cl1348, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1334, zip_derived_cl1073])).
% 10.46/2.12 thf(zip_derived_cl41, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 ( (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X0 @ X2)
% 10.46/2.12 | ~ (product @ X1 @ X3 @ X0))),
% 10.46/2.12 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.46/2.12 thf(zip_derived_cl1404, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_3 @ X0 @ e_4) | ~ (product @ X0 @ e_4 @ e_3)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1348, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl4246, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_2 @ e_4 @ e_3)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1313, zip_derived_cl1404])).
% 10.46/2.12 thf(zip_derived_cl1357, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_2)) <= (( (product @ e_3 @ e_2 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl240])).
% 10.46/2.12 thf(product_total_function2, axiom,
% 10.46/2.12 (( ~( product @ X @ Y @ W ) ) | ( ~( product @ X @ Y @ Z ) ) |
% 10.46/2.12 ( equalish @ W @ Z ))).
% 10.46/2.12 thf(zip_derived_cl38, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X1 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_total_function2])).
% 10.46/2.12 thf(zip_derived_cl3999, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ e_2 @ X0) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1357, zip_derived_cl38])).
% 10.46/2.12 thf(zip_derived_cl7483, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_2 @ e_4 @ e_3)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl4246, zip_derived_cl3999])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('70', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_2 @ e_2)) | ~ ( (product @ e_2 @ e_4 @ e_3)) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl7483, zip_derived_cl30])).
% 10.46/2.12 thf(zip_derived_cl1391, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_1)) <= (( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl4024, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_1) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_2 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1358, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl4206, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_3 @ e_2 @ e_1)) & ( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1391, zip_derived_cl4024])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('71', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_2 @ e_1)) | ~ ( (product @ e_3 @ e_4 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4206, zip_derived_cl30])).
% 10.46/2.12 thf(zip_derived_cl4246, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_2 @ e_4 @ e_3)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1313, zip_derived_cl1404])).
% 10.46/2.12 thf(zip_derived_cl1435, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_3)) <= (( (product @ e_3 @ e_2 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl244])).
% 10.46/2.12 thf(zip_derived_cl38, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X1 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_total_function2])).
% 10.46/2.12 thf(zip_derived_cl1438, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ e_2 @ X0) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1435, zip_derived_cl38])).
% 10.46/2.12 thf(zip_derived_cl7480, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_2 @ e_4 @ e_3)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl4246, zip_derived_cl1438])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('72', plain,
% 10.46/2.12 (~ ( (product @ e_2 @ e_4 @ e_3)) | ~ ( (product @ e_3 @ e_2 @ e_3)) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl7480, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl4246, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_2 @ e_4 @ e_3)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1313, zip_derived_cl1404])).
% 10.46/2.12 thf(zip_derived_cl1358, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_1)) <= (( (product @ e_3 @ e_2 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl240])).
% 10.46/2.12 thf(zip_derived_cl38, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X1 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_total_function2])).
% 10.46/2.12 thf(zip_derived_cl4023, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ e_2 @ X0) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_2 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1358, zip_derived_cl38])).
% 10.46/2.12 thf(zip_derived_cl7484, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_2 @ e_4 @ e_3)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_2 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl4246, zip_derived_cl4023])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('73', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_2 @ e_1)) | ~ ( (product @ e_2 @ e_4 @ e_3)) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl7484, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl1390, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_2)) <= (( (product @ e_3 @ e_4 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl1357, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_2)) <= (( (product @ e_3 @ e_2 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl240])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl4000, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_2) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1357, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl4181, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_3 @ e_2 @ e_2)) & ( (product @ e_3 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1390, zip_derived_cl4000])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('74', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_2 @ e_2)) | ~ ( (product @ e_3 @ e_4 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4181, zip_derived_cl30])).
% 10.46/2.12 thf(zip_derived_cl1355, plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_4)) <= (( (product @ e_3 @ e_2 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl240])).
% 10.46/2.12 thf(zip_derived_cl1339, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1334, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl2191, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_4)) & ( (product @ e_3 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1355, zip_derived_cl1339])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('75', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_2 @ e_4)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2191, zip_derived_cl25])).
% 10.46/2.12 thf('76', plain,
% 10.46/2.12 (( (product @ e_3 @ e_2 @ e_3)) | ( (product @ e_3 @ e_2 @ e_4)) |
% 10.46/2.12 ( (product @ e_3 @ e_2 @ e_2)) | ( (product @ e_3 @ e_2 @ e_1))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl240])).
% 10.46/2.12 thf(zip_derived_cl84, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_4])).
% 10.46/2.12 thf(zip_derived_cl268, plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_4)
% 10.46/2.12 | (product @ e_4 @ e_4 @ e_3)
% 10.46/2.12 | (product @ e_4 @ e_4 @ e_2)
% 10.46/2.12 | (product @ e_4 @ e_4 @ e_1))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl24])).
% 10.46/2.12 thf(zip_derived_cl1555, plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_1)) <= (( (product @ e_4 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl268])).
% 10.46/2.12 thf(zip_derived_cl1391, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_1)) <= (( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl4198, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_1) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1391, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4698, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_3 @ e_4 @ e_1)) & ( (product @ e_4 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1555, zip_derived_cl4198])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('77', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_4 @ e_1)) | ~ ( (product @ e_3 @ e_4 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4698, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl1555, plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_1)) <= (( (product @ e_4 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl268])).
% 10.46/2.12 thf(zip_derived_cl1233, plain,
% 10.46/2.12 (( (product @ e_2 @ e_4 @ e_1)) <= (( (product @ e_2 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl223])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3697, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_1) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1233, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4697, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_2 @ e_4 @ e_1)) & ( (product @ e_4 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1555, zip_derived_cl3697])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('78', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_4 @ e_1)) | ~ ( (product @ e_2 @ e_4 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4697, zip_derived_cl30])).
% 10.46/2.12 thf('79', plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_1)) | ( (product @ e_4 @ e_4 @ e_4)) |
% 10.46/2.12 ( (product @ e_4 @ e_4 @ e_3)) | ( (product @ e_4 @ e_4 @ e_2))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl268])).
% 10.46/2.12 thf(zip_derived_cl1390, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_2)) <= (( (product @ e_3 @ e_4 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_4])).
% 10.46/2.12 thf(zip_derived_cl85, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 ( (product @ X0 @ X0 @ e_4)
% 10.46/2.12 | (product @ X0 @ X0 @ e_3)
% 10.46/2.12 | (product @ X0 @ X0 @ e_2)
% 10.46/2.12 | (product @ X0 @ X0 @ e_1)
% 10.46/2.12 | ~ (group_element @ X0))),
% 10.46/2.12 inference('eq_fact', [status(thm)], [zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl286, plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_4)
% 10.46/2.12 | (product @ e_4 @ e_4 @ e_3)
% 10.46/2.12 | (product @ e_4 @ e_4 @ e_2)
% 10.46/2.12 | (product @ e_4 @ e_4 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl85])).
% 10.46/2.12 thf(zip_derived_cl1705, plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_2)) <= (( (product @ e_4 @ e_4 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl286])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1709, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_2) | (equalish @ e_4 @ X0)))
% 10.46/2.12 <= (( (product @ e_4 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1705, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4176, plain,
% 10.46/2.12 (( (equalish @ e_4 @ e_3))
% 10.46/2.12 <= (( (product @ e_3 @ e_4 @ e_2)) & ( (product @ e_4 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1390, zip_derived_cl1709])).
% 10.46/2.12 thf(e_4_is_not_e_3, axiom, (~( equalish @ e_4 @ e_3 ))).
% 10.46/2.12 thf(zip_derived_cl36, plain, (~ (equalish @ e_4 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 10.46/2.12 thf('80', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_4 @ e_2)) | ~ ( (product @ e_3 @ e_4 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4176, zip_derived_cl36])).
% 10.46/2.12 thf(zip_derived_cl1232, plain,
% 10.46/2.12 (( (product @ e_2 @ e_4 @ e_2)) <= (( (product @ e_2 @ e_4 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl223])).
% 10.46/2.12 thf(zip_derived_cl1709, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_2) | (equalish @ e_4 @ X0)))
% 10.46/2.12 <= (( (product @ e_4 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1705, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3679, plain,
% 10.46/2.12 (( (equalish @ e_4 @ e_2))
% 10.46/2.12 <= (( (product @ e_2 @ e_4 @ e_2)) & ( (product @ e_4 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1232, zip_derived_cl1709])).
% 10.46/2.12 thf(zip_derived_cl35, plain, (~ (equalish @ e_4 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 10.46/2.12 thf('81', plain,
% 10.46/2.12 (~ ( (product @ e_2 @ e_4 @ e_2)) | ~ ( (product @ e_4 @ e_4 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3679, zip_derived_cl35])).
% 10.46/2.12 thf(zip_derived_cl1391, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_1)) <= (( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl3697, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_1) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1233, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4204, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_2 @ e_4 @ e_1)) & ( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1391, zip_derived_cl3697])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('82', plain,
% 10.46/2.12 (~ ( (product @ e_2 @ e_4 @ e_1)) | ~ ( (product @ e_3 @ e_4 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4204, zip_derived_cl29])).
% 10.46/2.12 thf(zip_derived_cl24, plain, ( (group_element @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_4])).
% 10.46/2.12 thf(zip_derived_cl84, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl272, plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_1)
% 10.46/2.12 | (product @ e_4 @ e_4 @ e_2)
% 10.46/2.12 | (product @ e_4 @ e_4 @ e_3)
% 10.46/2.12 | (product @ e_4 @ e_4 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl84])).
% 10.46/2.12 thf(zip_derived_cl1628, plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_3)) <= (( (product @ e_4 @ e_4 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl272])).
% 10.46/2.12 thf(zip_derived_cl1404, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_3 @ X0 @ e_4) | ~ (product @ X0 @ e_4 @ e_3)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1348, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl4249, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_4 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1628, zip_derived_cl1404])).
% 10.46/2.12 thf(zip_derived_cl1391, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_1)) <= (( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl38, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X1 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_total_function2])).
% 10.46/2.12 thf(zip_derived_cl4196, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ e_4 @ X0) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_4 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1391, zip_derived_cl38])).
% 10.46/2.12 thf(zip_derived_cl7543, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_4 @ e_1)) &
% 10.46/2.12 ( (product @ e_4 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl4249, zip_derived_cl4196])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('83', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_4 @ e_4)) | ~ ( (product @ e_4 @ e_4 @ e_3)) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_4 @ e_1)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl7543, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl4249, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_4 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1628, zip_derived_cl1404])).
% 10.46/2.12 thf(zip_derived_cl1390, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_2)) <= (( (product @ e_3 @ e_4 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl38, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X1 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_total_function2])).
% 10.46/2.12 thf(zip_derived_cl4168, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ e_4 @ X0) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1390, zip_derived_cl38])).
% 10.46/2.12 thf(zip_derived_cl7542, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_4 @ e_2)) &
% 10.46/2.12 ( (product @ e_4 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl4249, zip_derived_cl4168])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('84', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_4 @ e_2)) | ~ ( (product @ e_4 @ e_4 @ e_3)) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl7542, zip_derived_cl30])).
% 10.46/2.12 thf('85', plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_1)) | ( (product @ e_3 @ e_4 @ e_4)) |
% 10.46/2.12 ( (product @ e_3 @ e_4 @ e_2)) | ( (product @ e_3 @ e_4 @ e_3))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl1475, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_3)) <= (( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl246])).
% 10.46/2.12 thf(zip_derived_cl1404, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_3 @ X0 @ e_4) | ~ (product @ X0 @ e_4 @ e_3)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1348, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl4247, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1475, zip_derived_cl1404])).
% 10.46/2.12 thf(zip_derived_cl84, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.12 thf(zip_derived_cl267, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_4)
% 10.46/2.12 | (product @ e_4 @ e_3 @ e_3)
% 10.46/2.12 | (product @ e_4 @ e_3 @ e_2)
% 10.46/2.12 | (product @ e_4 @ e_3 @ e_1))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl23])).
% 10.46/2.12 thf(zip_derived_cl1529, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_4)) <= (( (product @ e_4 @ e_3 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl267])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1535, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_4) | (equalish @ e_4 @ X0)))
% 10.46/2.12 <= (( (product @ e_4 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1529, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl7498, plain,
% 10.46/2.12 (( (equalish @ e_4 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_4 @ e_3)) &
% 10.46/2.12 ( (product @ e_4 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl4247, zip_derived_cl1535])).
% 10.46/2.12 thf(zip_derived_cl36, plain, (~ (equalish @ e_4 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 10.46/2.12 thf('86', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_4 @ e_3)) | ~ ( (product @ e_4 @ e_3 @ e_4)) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl7498, zip_derived_cl36])).
% 10.46/2.12 thf('87', plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_3)) | ( (product @ e_4 @ e_3 @ e_1)) |
% 10.46/2.12 ( (product @ e_4 @ e_3 @ e_4)) | ( (product @ e_4 @ e_3 @ e_2))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl267])).
% 10.46/2.12 thf(zip_derived_cl1532, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_1)) <= (( (product @ e_4 @ e_3 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl267])).
% 10.46/2.12 thf(zip_derived_cl1348, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1334, zip_derived_cl1073])).
% 10.46/2.12 thf(zip_derived_cl38, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X1 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_total_function2])).
% 10.46/2.12 thf(zip_derived_cl1401, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_4 @ e_3 @ X0) | (equalish @ e_4 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1348, zip_derived_cl38])).
% 10.46/2.12 thf(zip_derived_cl4605, plain,
% 10.46/2.12 (( (equalish @ e_4 @ e_1))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_4 @ e_3 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1532, zip_derived_cl1401])).
% 10.46/2.12 thf(zip_derived_cl34, plain, (~ (equalish @ e_4 @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_is_not_e_1])).
% 10.46/2.12 thf('88', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_3 @ e_1)) | ~ ( (product @ e_1 @ e_4 @ e_4)) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4605, zip_derived_cl34])).
% 10.46/2.12 thf(zip_derived_cl23, plain, ( (group_element @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_3])).
% 10.46/2.12 thf(zip_derived_cl84, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_4 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl271, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_1)
% 10.46/2.12 | (product @ e_4 @ e_3 @ e_2)
% 10.46/2.12 | (product @ e_4 @ e_3 @ e_3)
% 10.46/2.12 | (product @ e_4 @ e_3 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl84])).
% 10.46/2.12 thf(zip_derived_cl1614, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_3)) <= (( (product @ e_4 @ e_3 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl271])).
% 10.46/2.12 thf(zip_derived_cl1401, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_4 @ e_3 @ X0) | (equalish @ e_4 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1348, zip_derived_cl38])).
% 10.46/2.12 thf(zip_derived_cl2041, plain,
% 10.46/2.12 (( (equalish @ e_4 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_4 @ e_3 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1614, zip_derived_cl1401])).
% 10.46/2.12 thf(zip_derived_cl36, plain, (~ (equalish @ e_4 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 10.46/2.12 thf('89', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_3 @ e_3)) | ~ ( (product @ e_1 @ e_4 @ e_4)) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2041, zip_derived_cl36])).
% 10.46/2.12 thf(zip_derived_cl1531, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_2)) <= (( (product @ e_4 @ e_3 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl267])).
% 10.46/2.12 thf(zip_derived_cl1401, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_4 @ e_3 @ X0) | (equalish @ e_4 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1348, zip_derived_cl38])).
% 10.46/2.12 thf(zip_derived_cl4578, plain,
% 10.46/2.12 (( (equalish @ e_4 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_4 @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1531, zip_derived_cl1401])).
% 10.46/2.12 thf(zip_derived_cl35, plain, (~ (equalish @ e_4 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 10.46/2.12 thf('90', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_3 @ e_2)) | ~ ( (product @ e_1 @ e_4 @ e_4)) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4578, zip_derived_cl35])).
% 10.46/2.12 thf(zip_derived_cl1313, plain,
% 10.46/2.12 (( (product @ e_2 @ e_4 @ e_3)) <= (( (product @ e_2 @ e_4 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl227])).
% 10.46/2.12 thf(zip_derived_cl1257, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_2 @ X0 @ e_3) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1253, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl2039, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_3)) & ( (product @ e_2 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1313, zip_derived_cl1257])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('91', plain,
% 10.46/2.12 (~ ( (product @ e_2 @ e_4 @ e_3)) | ~ ( (product @ e_2 @ e_1 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2039, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.12 thf(zip_derived_cl15, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (cycle @ X0 @ e_0)
% 10.46/2.12 | (cycle @ X0 @ e_1)
% 10.46/2.12 | (cycle @ X0 @ e_2)
% 10.46/2.12 | (cycle @ X0 @ e_3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle2])).
% 10.46/2.12 thf(zip_derived_cl49, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_0)
% 10.46/2.12 | (cycle @ e_1 @ e_1)
% 10.46/2.12 | (cycle @ e_1 @ e_2)
% 10.46/2.12 | (cycle @ e_1 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl15])).
% 10.46/2.12 thf(zip_derived_cl98, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_3)) <= (( (cycle @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl134, plain,
% 10.46/2.12 (( (cycle @ e_2 @ e_2)) <= (( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.12 thf(zip_derived_cl17, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (cycle @ X2 @ X3)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X3 @ X4)
% 10.46/2.12 | (equalish @ X1 @ X4))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle4])).
% 10.46/2.12 thf(zip_derived_cl146, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_2 @ X1)
% 10.46/2.12 | ~ (greater @ e_2 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_2 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl17])).
% 10.46/2.12 thf(e_2_greater_e_0, axiom, (greater @ e_2 @ e_0)).
% 10.46/2.12 thf(zip_derived_cl5, plain, ( (greater @ e_2 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_greater_e_0])).
% 10.46/2.12 thf(zip_derived_cl150, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_2 @ X1)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_2 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl5])).
% 10.46/2.12 thf(zip_derived_cl644, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 (~ (next @ e_2 @ e_1) | ~ (next @ e_3 @ X0) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_3)) & ( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl150])).
% 10.46/2.12 thf(zip_derived_cl2507, plain,
% 10.46/2.12 ((![X0 : $i]: ( (equalish @ e_2 @ X0) | ~ (next @ e_3 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_2 @ X0) | ~ (next @ e_3 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl644])).
% 10.46/2.12 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 10.46/2.12 thf(zip_derived_cl2509, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_2 @ X0) | ~ (next @ e_3 @ X0))))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl2507, zip_derived_cl3])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('92', plain,
% 10.46/2.12 (~ (![X0 : $i]: ( (equalish @ e_2 @ X0) | ~ (next @ e_3 @ X0)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2509, zip_derived_cl30])).
% 10.46/2.12 thf(zip_derived_cl1336, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_2)) <= (( (product @ e_3 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl20, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle7])).
% 10.46/2.12 thf(zip_derived_cl3873, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ e_3 @ X0)
% 10.46/2.12 | ~ (greater @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ e_3 @ X1)
% 10.46/2.12 | (equalish @ e_2 @ X1)))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1336, zip_derived_cl20])).
% 10.46/2.12 thf('93', plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0))) |
% 10.46/2.12 (![X0 : $i]: ( (equalish @ e_2 @ X0) | ~ (next @ e_3 @ X0))) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_2))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl3873])).
% 10.46/2.12 thf(zip_derived_cl98, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_3)) <= (( (cycle @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl164, plain,
% 10.46/2.12 (( (cycle @ e_3 @ e_1)) <= (( (cycle @ e_3 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.12 thf(zip_derived_cl17, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (cycle @ X2 @ X3)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X3 @ X4)
% 10.46/2.12 | (equalish @ X1 @ X4))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle4])).
% 10.46/2.12 thf(zip_derived_cl181, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_3 @ X1)
% 10.46/2.12 | ~ (greater @ e_1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_1 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl17])).
% 10.46/2.12 thf(zip_derived_cl4, plain, ( (greater @ e_1 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_greater_e_0])).
% 10.46/2.12 thf(zip_derived_cl185, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_3 @ X1)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_1 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_1)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl4])).
% 10.46/2.12 thf(zip_derived_cl939, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 (~ (next @ e_3 @ e_1) | ~ (next @ e_3 @ X0) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_3)) & ( (cycle @ e_3 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl185])).
% 10.46/2.12 thf(zip_derived_cl3041, plain,
% 10.46/2.12 ((![X0 : $i]: ( (equalish @ e_1 @ X0) | ~ (next @ e_3 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_1 @ X0) | ~ (next @ e_3 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl939])).
% 10.46/2.12 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 10.46/2.12 thf(zip_derived_cl3043, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_1 @ X0) | ~ (next @ e_3 @ X0))))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl3041, zip_derived_cl3])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('94', plain,
% 10.46/2.12 (~ (![X0 : $i]: ( (equalish @ e_1 @ X0) | ~ (next @ e_3 @ X0)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3043, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl1337, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_1)) <= (( (product @ e_3 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl20, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle7])).
% 10.46/2.12 thf(zip_derived_cl3936, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ e_3 @ X0)
% 10.46/2.12 | ~ (greater @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ e_3 @ X1)
% 10.46/2.12 | (equalish @ e_1 @ X1)))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1337, zip_derived_cl20])).
% 10.46/2.12 thf('95', plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0))) |
% 10.46/2.12 (![X0 : $i]: ( (equalish @ e_1 @ X0) | ~ (next @ e_3 @ X0))) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_1))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl3936])).
% 10.46/2.12 thf(zip_derived_cl98, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_3)) <= (( (cycle @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl98, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_3)) <= (( (cycle @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl17, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (cycle @ X2 @ X3)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X3 @ X4)
% 10.46/2.12 | (equalish @ X1 @ X4))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle4])).
% 10.46/2.12 thf(zip_derived_cl103, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_1 @ X1)
% 10.46/2.12 | ~ (greater @ e_3 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_3 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl17])).
% 10.46/2.12 thf(zip_derived_cl6, plain, ( (greater @ e_3 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 10.46/2.12 thf(zip_derived_cl107, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_1 @ X1)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_3 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_3)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl6])).
% 10.46/2.12 thf(zip_derived_cl365, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 (~ (next @ e_1 @ e_1) | ~ (next @ e_3 @ X0) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl107])).
% 10.46/2.12 thf(zip_derived_cl545, plain,
% 10.46/2.12 ((![X0 : $i]: ( (equalish @ e_3 @ X0) | ~ (next @ e_3 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_3 @ X0) | ~ (next @ e_3 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl365])).
% 10.46/2.12 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 10.46/2.12 thf(zip_derived_cl547, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_3 @ X0) | ~ (next @ e_3 @ X0))))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl545, zip_derived_cl3])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('96', plain,
% 10.46/2.12 (~ (![X0 : $i]: ( (equalish @ e_3 @ X0) | ~ (next @ e_3 @ X0)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl547, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl1409, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl243])).
% 10.46/2.12 thf(zip_derived_cl20, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle7])).
% 10.46/2.12 thf(zip_derived_cl1420, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ e_3 @ X0)
% 10.46/2.12 | ~ (greater @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ e_3 @ X1)
% 10.46/2.12 | (equalish @ e_3 @ X1)))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1409, zip_derived_cl20])).
% 10.46/2.12 thf('97', plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0))) |
% 10.46/2.12 (![X0 : $i]: ( (equalish @ e_3 @ X0) | ~ (next @ e_3 @ X0))) |
% 10.46/2.12 ~ ( (product @ e_3 @ e_1 @ e_3))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1420])).
% 10.46/2.12 thf(zip_derived_cl164, plain,
% 10.46/2.12 (( (cycle @ e_3 @ e_1)) <= (( (cycle @ e_3 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.12 thf(zip_derived_cl21, plain, ( (group_element @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [element_1])).
% 10.46/2.12 thf(zip_derived_cl81, plain,
% 10.46/2.12 (![X0 : $i]:
% 10.46/2.12 (~ (group_element @ X0)
% 10.46/2.12 | (product @ e_1 @ X0 @ e_1)
% 10.46/2.12 | (product @ e_1 @ X0 @ e_2)
% 10.46/2.12 | (product @ e_1 @ X0 @ e_3)
% 10.46/2.12 | (product @ e_1 @ X0 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl37])).
% 10.46/2.12 thf(zip_derived_cl204, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_1)
% 10.46/2.12 | (product @ e_1 @ e_1 @ e_2)
% 10.46/2.12 | (product @ e_1 @ e_1 @ e_3)
% 10.46/2.12 | (product @ e_1 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl81])).
% 10.46/2.12 thf(zip_derived_cl1085, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_3)) <= (( (product @ e_1 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl204])).
% 10.46/2.12 thf(zip_derived_cl1050, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_3 @ X0 @ e_4) | ~ (product @ X0 @ e_1 @ e_3)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1043, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl1097, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_3)) & ( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1085, zip_derived_cl1050])).
% 10.46/2.12 thf(zip_derived_cl20, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle7])).
% 10.46/2.12 thf(zip_derived_cl1150, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ e_3 @ X0)
% 10.46/2.12 | ~ (greater @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ e_3 @ X1)
% 10.46/2.12 | (equalish @ e_4 @ X1)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_3)) & ( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1097, zip_derived_cl20])).
% 10.46/2.12 thf(zip_derived_cl3408, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1150])).
% 10.46/2.12 thf(zip_derived_cl3414, plain,
% 10.46/2.12 ((~ (greater @ e_1 @ e_0))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_1)) &
% 10.46/2.12 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0))))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl164, zip_derived_cl3408])).
% 10.46/2.12 thf(zip_derived_cl4, plain, ( (greater @ e_1 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_greater_e_0])).
% 10.46/2.12 thf('98', plain,
% 10.46/2.12 (~ ( (cycle @ e_3 @ e_1)) |
% 10.46/2.12 ~ (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_3 @ X0)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl3414, zip_derived_cl4])).
% 10.46/2.12 thf(zip_derived_cl99, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_2)) <= (( (cycle @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl99, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_2)) <= (( (cycle @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl17, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (cycle @ X2 @ X3)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X3 @ X4)
% 10.46/2.12 | (equalish @ X1 @ X4))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle4])).
% 10.46/2.12 thf(zip_derived_cl117, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_1 @ X1)
% 10.46/2.12 | ~ (greater @ e_2 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_2 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl17])).
% 10.46/2.12 thf(zip_derived_cl5, plain, ( (greater @ e_2 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_greater_e_0])).
% 10.46/2.12 thf(zip_derived_cl121, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_1 @ X1)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_2 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_2)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl5])).
% 10.46/2.12 thf(zip_derived_cl429, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 (~ (next @ e_1 @ e_1) | ~ (next @ e_2 @ X0) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl121])).
% 10.46/2.12 thf(zip_derived_cl600, plain,
% 10.46/2.12 ((![X0 : $i]: ( (equalish @ e_2 @ X0) | ~ (next @ e_2 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_2 @ X0) | ~ (next @ e_2 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl429])).
% 10.46/2.12 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 10.46/2.12 thf(zip_derived_cl602, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_2 @ X0) | ~ (next @ e_2 @ X0))))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl2])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('99', plain,
% 10.46/2.12 (~ (![X0 : $i]: ( (equalish @ e_2 @ X0) | ~ (next @ e_2 @ X0)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl602, zip_derived_cl29])).
% 10.46/2.12 thf(zip_derived_cl1178, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf(zip_derived_cl20, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle7])).
% 10.46/2.12 thf(zip_derived_cl3377, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ e_2 @ X0)
% 10.46/2.12 | ~ (greater @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ e_2 @ X1)
% 10.46/2.12 | (equalish @ e_2 @ X1)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1178, zip_derived_cl20])).
% 10.46/2.12 thf('100', plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))) |
% 10.46/2.12 (![X0 : $i]: ( (equalish @ e_2 @ X0) | ~ (next @ e_2 @ X0))) |
% 10.46/2.12 ~ ( (product @ e_2 @ e_1 @ e_2))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl3377])).
% 10.46/2.12 thf(zip_derived_cl99, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_2)) <= (( (cycle @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl156, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_2 @ X1)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_1 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl4])).
% 10.46/2.12 thf(zip_derived_cl707, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 (~ (next @ e_2 @ e_1) | ~ (next @ e_2 @ X0) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_2)) & ( (cycle @ e_2 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl156])).
% 10.46/2.12 thf(zip_derived_cl2750, plain,
% 10.46/2.12 ((![X0 : $i]: ( (equalish @ e_1 @ X0) | ~ (next @ e_2 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_1 @ X0) | ~ (next @ e_2 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl707])).
% 10.46/2.12 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 10.46/2.12 thf(zip_derived_cl2752, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_1 @ X0) | ~ (next @ e_2 @ X0))))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl2750, zip_derived_cl2])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('101', plain,
% 10.46/2.12 (~ (![X0 : $i]: ( (equalish @ e_1 @ X0) | ~ (next @ e_2 @ X0)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2752, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1179, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_1)) <= (( (product @ e_2 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf(zip_derived_cl20, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle7])).
% 10.46/2.12 thf(zip_derived_cl3441, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ e_2 @ X0)
% 10.46/2.12 | ~ (greater @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ e_2 @ X1)
% 10.46/2.12 | (equalish @ e_1 @ X1)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1179, zip_derived_cl20])).
% 10.46/2.12 thf('102', plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))) |
% 10.46/2.12 (![X0 : $i]: ( (equalish @ e_1 @ X0) | ~ (next @ e_2 @ X0))) |
% 10.46/2.12 ~ ( (product @ e_2 @ e_1 @ e_1))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl3441])).
% 10.46/2.12 thf('103', plain,
% 10.46/2.12 (( (cycle @ e_3 @ e_0)) | ( (cycle @ e_3 @ e_1)) |
% 10.46/2.12 ( (cycle @ e_3 @ e_2)) | ( (cycle @ e_3 @ e_3))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.12 thf(zip_derived_cl16, plain, ( (cycle @ e_4 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle3])).
% 10.46/2.12 thf(zip_derived_cl163, plain,
% 10.46/2.12 (( (cycle @ e_3 @ e_2)) <= (( (cycle @ e_3 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.12 thf(zip_derived_cl17, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (cycle @ X2 @ X3)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X3 @ X4)
% 10.46/2.12 | (equalish @ X1 @ X4))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle4])).
% 10.46/2.12 thf(zip_derived_cl175, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_3 @ X1)
% 10.46/2.12 | ~ (greater @ e_2 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_2 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl17])).
% 10.46/2.12 thf(zip_derived_cl5, plain, ( (greater @ e_2 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_greater_e_0])).
% 10.46/2.12 thf(zip_derived_cl179, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_3 @ X1)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_2 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_2)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl5])).
% 10.46/2.12 thf(zip_derived_cl894, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 (~ (next @ e_3 @ e_4) | ~ (next @ e_0 @ X0) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl179])).
% 10.46/2.12 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 10.46/2.12 thf(zip_derived_cl895, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (next @ e_0 @ X0) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_2)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl894, zip_derived_cl3])).
% 10.46/2.12 thf(e_0_then_e_1, axiom, (next @ e_0 @ e_1)).
% 10.46/2.12 thf(zip_derived_cl0, plain, ( (next @ e_0 @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_0_then_e_1])).
% 10.46/2.12 thf(zip_derived_cl898, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_1)) <= (( (cycle @ e_3 @ e_2)))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl895, zip_derived_cl0])).
% 10.46/2.12 thf(zip_derived_cl28, plain, (~ (equalish @ e_2 @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 10.46/2.12 thf('104', plain, (~ ( (cycle @ e_3 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl898, zip_derived_cl28])).
% 10.46/2.12 thf(zip_derived_cl16, plain, ( (cycle @ e_4 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle3])).
% 10.46/2.12 thf(zip_derived_cl162, plain,
% 10.46/2.12 (( (cycle @ e_3 @ e_3)) <= (( (cycle @ e_3 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.12 thf(zip_derived_cl17, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (cycle @ X2 @ X3)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X3 @ X4)
% 10.46/2.12 | (equalish @ X1 @ X4))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle4])).
% 10.46/2.12 thf(zip_derived_cl167, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_3 @ X1)
% 10.46/2.12 | ~ (greater @ e_3 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_3 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl17])).
% 10.46/2.12 thf(zip_derived_cl6, plain, ( (greater @ e_3 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 10.46/2.12 thf(zip_derived_cl171, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_3 @ X1)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_3 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_3)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl6])).
% 10.46/2.12 thf(zip_derived_cl837, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 (~ (next @ e_3 @ e_4) | ~ (next @ e_0 @ X0) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl171])).
% 10.46/2.12 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 10.46/2.12 thf(zip_derived_cl838, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (next @ e_0 @ X0) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (cycle @ e_3 @ e_3)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl837, zip_derived_cl3])).
% 10.46/2.12 thf(zip_derived_cl0, plain, ( (next @ e_0 @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_0_then_e_1])).
% 10.46/2.12 thf(zip_derived_cl841, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_1)) <= (( (cycle @ e_3 @ e_3)))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl838, zip_derived_cl0])).
% 10.46/2.12 thf(zip_derived_cl31, plain, (~ (equalish @ e_3 @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 10.46/2.12 thf('105', plain, (~ ( (cycle @ e_3 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl841, zip_derived_cl31])).
% 10.46/2.12 thf(zip_derived_cl3, plain, ( (next @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_then_e_4])).
% 10.46/2.12 thf(zip_derived_cl16, plain, ( (cycle @ e_4 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle3])).
% 10.46/2.12 thf(zip_derived_cl134, plain,
% 10.46/2.12 (( (cycle @ e_2 @ e_2)) <= (( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.12 thf(zip_derived_cl18, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (cycle @ X2 @ e_0)
% 10.46/2.12 | ~ (cycle @ X3 @ X4)
% 10.46/2.12 | ~ (next @ X2 @ X3)
% 10.46/2.12 | ~ (greater @ X2 @ X0)
% 10.46/2.12 | ~ (greater @ X1 @ X4))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle5])).
% 10.46/2.12 thf(zip_derived_cl147, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ e_0)
% 10.46/2.12 | ~ (cycle @ X2 @ X1)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | ~ (greater @ X0 @ e_2)
% 10.46/2.12 | ~ (greater @ e_2 @ X1)))
% 10.46/2.12 <= (( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl18])).
% 10.46/2.12 thf(zip_derived_cl617, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ e_4)
% 10.46/2.12 | ~ (greater @ X0 @ e_2)
% 10.46/2.12 | ~ (greater @ e_2 @ e_0)))
% 10.46/2.12 <= (( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl147])).
% 10.46/2.12 thf(zip_derived_cl5, plain, ( (greater @ e_2 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_greater_e_0])).
% 10.46/2.12 thf(zip_derived_cl624, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ e_0) | ~ (next @ X0 @ e_4) | ~ (greater @ X0 @ e_2)))
% 10.46/2.12 <= (( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl617, zip_derived_cl5])).
% 10.46/2.12 thf(zip_derived_cl628, plain,
% 10.46/2.12 (((~ (cycle @ e_3 @ e_0) | ~ (greater @ e_3 @ e_2)))
% 10.46/2.12 <= (( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl624])).
% 10.46/2.12 thf(zip_derived_cl11, plain, ( (greater @ e_3 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_greater_e_2])).
% 10.46/2.12 thf(zip_derived_cl629, plain,
% 10.46/2.12 ((~ (cycle @ e_3 @ e_0)) <= (( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl628, zip_derived_cl11])).
% 10.46/2.12 thf(zip_derived_cl165, plain,
% 10.46/2.12 (( (cycle @ e_3 @ e_0)) <= (( (cycle @ e_3 @ e_0)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.12 thf('106', plain, (~ ( (cycle @ e_2 @ e_2)) | ~ ( (cycle @ e_3 @ e_0))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl629, zip_derived_cl165])).
% 10.46/2.12 thf(zip_derived_cl1390, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_2)) <= (( (product @ e_3 @ e_4 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl1232, plain,
% 10.46/2.12 (( (product @ e_2 @ e_4 @ e_2)) <= (( (product @ e_2 @ e_4 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl223])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl3674, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_2) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1232, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4178, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_2 @ e_4 @ e_2)) & ( (product @ e_3 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1390, zip_derived_cl3674])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('107', plain,
% 10.46/2.12 (~ ( (product @ e_2 @ e_4 @ e_2)) | ~ ( (product @ e_3 @ e_4 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4178, zip_derived_cl29])).
% 10.46/2.12 thf(zip_derived_cl1230, plain,
% 10.46/2.12 (( (product @ e_2 @ e_4 @ e_4)) <= (( (product @ e_2 @ e_4 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl223])).
% 10.46/2.12 thf(zip_derived_cl1066, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_4)) <= (( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1072, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1066, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl1716, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_2 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1230, zip_derived_cl1072])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('108', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_4 @ e_4)) | ~ ( (product @ e_2 @ e_4 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1716, zip_derived_cl25])).
% 10.46/2.12 thf(zip_derived_cl1488, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_4)) <= (( (product @ e_4 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.12 thf(zip_derived_cl1073, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_4 @ X0 @ e_4) | ~ (product @ X0 @ e_1 @ e_4)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1066, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl1502, plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_4 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1488, zip_derived_cl1073])).
% 10.46/2.12 thf(zip_derived_cl1072, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1066, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl1719, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_4 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1502, zip_derived_cl1072])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('109', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_4 @ e_4)) | ~ ( (product @ e_4 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1719, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl1552, plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_4)) <= (( (product @ e_4 @ e_4 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl268])).
% 10.46/2.12 thf(zip_derived_cl1072, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1066, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl1720, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_4 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1552, zip_derived_cl1072])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('110', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_4 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1720, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl1388, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_4)) <= (( (product @ e_3 @ e_4 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl1072, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1066, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl1717, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_4)) & ( (product @ e_3 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1388, zip_derived_cl1072])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('111', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_4 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1717, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1066, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_4)) <= (( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl1043, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_4)) <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl202])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1048, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_4) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1043, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl1453, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_4)) & ( (product @ e_1 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1066, zip_derived_cl1048])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('112', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_4 @ e_4)) | ~ ( (product @ e_1 @ e_3 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1453, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl1409, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl243])).
% 10.46/2.12 thf(zip_derived_cl1134, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_3 @ X0 @ e_3) | ~ (product @ X0 @ e_1 @ e_3)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1128, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl3322, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_3)) & ( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1409, zip_derived_cl1134])).
% 10.46/2.12 thf(zip_derived_cl1128, plain,
% 10.46/2.12 (( (product @ e_1 @ e_3 @ e_3)) <= (( (product @ e_1 @ e_3 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl206])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1133, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_3) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1128, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3771, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_3)) & ( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl3322, zip_derived_cl1133])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('113', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_1 @ e_3)) | ~ ( (product @ e_1 @ e_3 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3771, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1179, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_1)) <= (( (product @ e_2 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf(zip_derived_cl2903, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_1) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1005, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3444, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)) & ( (product @ e_2 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1179, zip_derived_cl2903])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('114', plain,
% 10.46/2.12 (~ ( (product @ e_2 @ e_1 @ e_1)) | ~ ( (product @ e_1 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3444, zip_derived_cl25])).
% 10.46/2.12 thf(zip_derived_cl1491, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_1)) <= (( (product @ e_4 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.12 thf(zip_derived_cl3435, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_1) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1179, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4413, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_1)) & ( (product @ e_4 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1491, zip_derived_cl3435])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('115', plain,
% 10.46/2.12 (~ ( (product @ e_2 @ e_1 @ e_1)) | ~ ( (product @ e_4 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4413, zip_derived_cl30])).
% 10.46/2.12 thf(zip_derived_cl3423, plain,
% 10.46/2.12 (( (product @ e_4 @ e_3 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1334, zip_derived_cl1168])).
% 10.46/2.12 thf(zip_derived_cl1567, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_3)) <= (( (product @ e_4 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl269])).
% 10.46/2.12 thf(zip_derived_cl39, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X0 @ X3 @ X2)
% 10.46/2.12 | (equalish @ X1 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_right_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1571, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_4 @ X0 @ e_3) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_4 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1567, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl5640, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)) &
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) &
% 10.46/2.12 ( (product @ e_4 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl3423, zip_derived_cl1571])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('116', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_1 @ e_3)) | ~ ( (product @ e_3 @ e_1 @ e_4)) |
% 10.46/2.12 ~ ( (product @ e_1 @ e_4 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl5640, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl1488, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_4)) <= (( (product @ e_4 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.12 thf(zip_derived_cl1340, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_4) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1334, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl2204, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_4)) & ( (product @ e_4 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1488, zip_derived_cl1340])).
% 10.46/2.12 thf(zip_derived_cl33, plain, (~ (equalish @ e_3 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_4])).
% 10.46/2.12 thf('117', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (product @ e_4 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2204, zip_derived_cl33])).
% 10.46/2.12 thf(zip_derived_cl1388, plain,
% 10.46/2.12 (( (product @ e_3 @ e_4 @ e_4)) <= (( (product @ e_3 @ e_4 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl242])).
% 10.46/2.12 thf(zip_derived_cl1339, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_3 @ X0 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1334, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl2193, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_3 @ e_1 @ e_4)) & ( (product @ e_3 @ e_4 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1388, zip_derived_cl1339])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('118', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_4 @ e_4)) | ~ ( (product @ e_3 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2193, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl1334, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_4)) <= (( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl1176, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_4)) <= (( (product @ e_2 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf(zip_derived_cl40, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (product @ X0 @ X1 @ X2)
% 10.46/2.12 | ~ (product @ X3 @ X1 @ X2)
% 10.46/2.12 | (equalish @ X0 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [product_left_cancellation])).
% 10.46/2.12 thf(zip_derived_cl1182, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_4) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1176, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl1891, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_4)) & ( (product @ e_3 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1334, zip_derived_cl1182])).
% 10.46/2.12 thf(zip_derived_cl29, plain, (~ (equalish @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 10.46/2.12 thf('119', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_1 @ e_4)) | ~ ( (product @ e_2 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1891, zip_derived_cl29])).
% 10.46/2.12 thf('120', plain,
% 10.46/2.12 (( (product @ e_2 @ e_4 @ e_4)) | ( (product @ e_2 @ e_4 @ e_1)) |
% 10.46/2.12 ( (product @ e_2 @ e_4 @ e_3)) | ( (product @ e_2 @ e_4 @ e_2))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl223])).
% 10.46/2.12 thf(zip_derived_cl133, plain,
% 10.46/2.12 (( (cycle @ e_2 @ e_3)) <= (( (cycle @ e_2 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.12 thf(zip_derived_cl1176, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_4)) <= (( (product @ e_2 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf(zip_derived_cl20, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle7])).
% 10.46/2.12 thf(zip_derived_cl1188, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ e_2 @ X0)
% 10.46/2.12 | ~ (greater @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ e_2 @ X1)
% 10.46/2.12 | (equalish @ e_4 @ X1)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1176, zip_derived_cl20])).
% 10.46/2.12 thf(zip_derived_cl3474, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1188])).
% 10.46/2.12 thf(zip_derived_cl3484, plain,
% 10.46/2.12 ((~ (greater @ e_3 @ e_0))
% 10.46/2.12 <= (( (cycle @ e_2 @ e_3)) &
% 10.46/2.12 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl133, zip_derived_cl3474])).
% 10.46/2.12 thf(zip_derived_cl6, plain, ( (greater @ e_3 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 10.46/2.12 thf('121', plain,
% 10.46/2.12 (~ ( (cycle @ e_2 @ e_3)) |
% 10.46/2.12 ~ (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl3484, zip_derived_cl6])).
% 10.46/2.12 thf(zip_derived_cl135, plain,
% 10.46/2.12 (( (cycle @ e_2 @ e_1)) <= (( (cycle @ e_2 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.12 thf(zip_derived_cl3474, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1188])).
% 10.46/2.12 thf(zip_derived_cl3482, plain,
% 10.46/2.12 ((~ (greater @ e_1 @ e_0))
% 10.46/2.12 <= (( (cycle @ e_2 @ e_1)) &
% 10.46/2.12 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl135, zip_derived_cl3474])).
% 10.46/2.12 thf(zip_derived_cl4, plain, ( (greater @ e_1 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_greater_e_0])).
% 10.46/2.12 thf('122', plain,
% 10.46/2.12 (~ ( (cycle @ e_2 @ e_1)) |
% 10.46/2.12 ~ (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl3482, zip_derived_cl4])).
% 10.46/2.12 thf('123', plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))) |
% 10.46/2.12 ~ ( (product @ e_2 @ e_1 @ e_4)) |
% 10.46/2.12 (![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1188])).
% 10.46/2.12 thf(zip_derived_cl3473, plain,
% 10.46/2.12 ((![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1)))
% 10.46/2.12 <= ((![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1188])).
% 10.46/2.12 thf(zip_derived_cl2, plain, ( (next @ e_2 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_then_e_3])).
% 10.46/2.12 thf(zip_derived_cl3475, plain,
% 10.46/2.12 (( (equalish @ e_4 @ e_3))
% 10.46/2.12 <= ((![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1))))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl3473, zip_derived_cl2])).
% 10.46/2.12 thf(zip_derived_cl36, plain, (~ (equalish @ e_4 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_is_not_e_3])).
% 10.46/2.12 thf('124', plain,
% 10.46/2.12 (~ (![X1 : $i]: (~ (next @ e_2 @ X1) | (equalish @ e_4 @ X1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3475, zip_derived_cl36])).
% 10.46/2.12 thf(zip_derived_cl1176, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_4)) <= (( (product @ e_2 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf(zip_derived_cl19, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ e_0)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X1)
% 10.46/2.12 | ~ (greater @ X1 @ X0))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle6])).
% 10.46/2.12 thf(zip_derived_cl1187, plain,
% 10.46/2.12 (((~ (cycle @ e_2 @ e_0) | ~ (greater @ e_4 @ e_2)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1176, zip_derived_cl19])).
% 10.46/2.12 thf(zip_derived_cl12, plain, ( (greater @ e_4 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_greater_e_2])).
% 10.46/2.12 thf(zip_derived_cl1191, plain,
% 10.46/2.12 ((~ (cycle @ e_2 @ e_0)) <= (( (product @ e_2 @ e_1 @ e_4)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl1187, zip_derived_cl12])).
% 10.46/2.12 thf(zip_derived_cl136, plain,
% 10.46/2.12 (( (cycle @ e_2 @ e_0)) <= (( (cycle @ e_2 @ e_0)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.12 thf('125', plain,
% 10.46/2.12 (~ ( (cycle @ e_2 @ e_0)) | ~ ( (product @ e_2 @ e_1 @ e_4))),
% 10.46/2.12 inference('s_sup+', [status(thm)],
% 10.46/2.12 [zip_derived_cl1191, zip_derived_cl136])).
% 10.46/2.12 thf(zip_derived_cl134, plain,
% 10.46/2.12 (( (cycle @ e_2 @ e_2)) <= (( (cycle @ e_2 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.12 thf(zip_derived_cl3474, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1188])).
% 10.46/2.12 thf(zip_derived_cl3483, plain,
% 10.46/2.12 ((~ (greater @ e_2 @ e_0))
% 10.46/2.12 <= (( (cycle @ e_2 @ e_2)) &
% 10.46/2.12 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl134, zip_derived_cl3474])).
% 10.46/2.12 thf(zip_derived_cl5, plain, ( (greater @ e_2 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_greater_e_0])).
% 10.46/2.12 thf('126', plain,
% 10.46/2.12 (~ (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_2 @ X0))) |
% 10.46/2.12 ~ ( (cycle @ e_2 @ e_2))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl3483, zip_derived_cl5])).
% 10.46/2.12 thf(zip_derived_cl1178, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf(zip_derived_cl1121, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_2 @ X0 @ e_3) | ~ (product @ X0 @ e_1 @ e_2)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1115, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl3379, plain,
% 10.46/2.12 (( (product @ e_2 @ e_2 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1178, zip_derived_cl1121])).
% 10.46/2.12 thf(zip_derived_cl1120, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_3) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1115, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl5096, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_3)) & ( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl3379, zip_derived_cl1120])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('127', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_2 @ e_3)) | ~ ( (product @ e_2 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl5096, zip_derived_cl25])).
% 10.46/2.12 thf(zip_derived_cl1178, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf(zip_derived_cl1029, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_2 @ X0 @ e_4) | ~ (product @ X0 @ e_1 @ e_2)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1022, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl3378, plain,
% 10.46/2.12 (( (product @ e_2 @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1178, zip_derived_cl1029])).
% 10.46/2.12 thf(zip_derived_cl1028, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_2 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1022, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4835, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_4)) & ( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl3378, zip_derived_cl1028])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('128', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_2 @ e_4)) | ~ ( (product @ e_2 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4835, zip_derived_cl25])).
% 10.46/2.12 thf('129', plain,
% 10.46/2.12 (( (product @ e_1 @ e_2 @ e_4)) | ( (product @ e_1 @ e_2 @ e_2)) |
% 10.46/2.12 ( (product @ e_1 @ e_2 @ e_3)) | ( (product @ e_1 @ e_2 @ e_1))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl201])).
% 10.46/2.12 thf(zip_derived_cl1025, plain,
% 10.46/2.12 (( (product @ e_1 @ e_2 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl201])).
% 10.46/2.12 thf(zip_derived_cl2902, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_1) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1005, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3055, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)) & ( (product @ e_1 @ e_2 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1025, zip_derived_cl2902])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('130', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_2 @ e_1)) | ~ ( (product @ e_1 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3055, zip_derived_cl25])).
% 10.46/2.12 thf(zip_derived_cl164, plain,
% 10.46/2.12 (( (cycle @ e_3 @ e_1)) <= (( (cycle @ e_3 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl51])).
% 10.46/2.12 thf(zip_derived_cl107, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i, X2 : $i]:
% 10.46/2.12 (~ (cycle @ X1 @ X0)
% 10.46/2.12 | ~ (next @ e_1 @ X1)
% 10.46/2.12 | ~ (next @ X0 @ X2)
% 10.46/2.12 | (equalish @ e_3 @ X2)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_3)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl6])).
% 10.46/2.12 thf(zip_derived_cl371, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 (~ (next @ e_1 @ e_3) | ~ (next @ e_1 @ X0) | (equalish @ e_3 @ X0)))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_3)) & ( (cycle @ e_3 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl107])).
% 10.46/2.12 thf(zip_derived_cl1791, plain,
% 10.46/2.12 ((![X0 : $i]: ( (equalish @ e_3 @ X0) | ~ (next @ e_1 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_3 @ X0) | ~ (next @ e_1 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl371])).
% 10.46/2.12 thf(zip_derived_cl1, plain, ( (next @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_then_e_2])).
% 10.46/2.12 thf(zip_derived_cl1793, plain,
% 10.46/2.12 (( (equalish @ e_3 @ e_2))
% 10.46/2.12 <= ((![X0 : $i]: ( (equalish @ e_3 @ X0) | ~ (next @ e_1 @ X0))))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl1791, zip_derived_cl1])).
% 10.46/2.12 thf(zip_derived_cl32, plain, (~ (equalish @ e_3 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 10.46/2.12 thf('131', plain,
% 10.46/2.12 (~ (![X0 : $i]: ( (equalish @ e_3 @ X0) | ~ (next @ e_1 @ X0)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1793, zip_derived_cl32])).
% 10.46/2.12 thf(zip_derived_cl1085, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_3)) <= (( (product @ e_1 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl204])).
% 10.46/2.12 thf(zip_derived_cl20, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle7])).
% 10.46/2.12 thf(zip_derived_cl1096, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ e_1 @ X0)
% 10.46/2.12 | ~ (greater @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ e_1 @ X1)
% 10.46/2.12 | (equalish @ e_3 @ X1)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1085, zip_derived_cl20])).
% 10.46/2.12 thf('132', plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0))) |
% 10.46/2.12 (![X0 : $i]: ( (equalish @ e_3 @ X0) | ~ (next @ e_1 @ X0))) |
% 10.46/2.12 ~ ( (product @ e_1 @ e_1 @ e_3))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1096])).
% 10.46/2.12 thf(zip_derived_cl1085, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_3)) <= (( (product @ e_1 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl204])).
% 10.46/2.12 thf(zip_derived_cl19, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ e_0)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X1)
% 10.46/2.12 | ~ (greater @ X1 @ X0))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle6])).
% 10.46/2.12 thf(zip_derived_cl1095, plain,
% 10.46/2.12 (((~ (cycle @ e_1 @ e_0) | ~ (greater @ e_3 @ e_1)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1085, zip_derived_cl19])).
% 10.46/2.12 thf(e_3_greater_e_1, axiom, (greater @ e_3 @ e_1)).
% 10.46/2.12 thf(zip_derived_cl9, plain, ( (greater @ e_3 @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_greater_e_1])).
% 10.46/2.12 thf(zip_derived_cl1099, plain,
% 10.46/2.12 ((~ (cycle @ e_1 @ e_0)) <= (( (product @ e_1 @ e_1 @ e_3)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl1095, zip_derived_cl9])).
% 10.46/2.12 thf(zip_derived_cl101, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_0)) <= (( (cycle @ e_1 @ e_0)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf('133', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_1 @ e_3)) | ~ ( (cycle @ e_1 @ e_0))),
% 10.46/2.12 inference('s_sup+', [status(thm)],
% 10.46/2.12 [zip_derived_cl1099, zip_derived_cl101])).
% 10.46/2.12 thf(zip_derived_cl98, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_3)) <= (( (cycle @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl1002, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_4)) <= (( (product @ e_1 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl200])).
% 10.46/2.12 thf(zip_derived_cl20, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ X1)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X2)
% 10.46/2.12 | ~ (greater @ X1 @ e_0)
% 10.46/2.12 | ~ (next @ X0 @ X3)
% 10.46/2.12 | (equalish @ X2 @ X3))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle7])).
% 10.46/2.12 thf(zip_derived_cl1014, plain,
% 10.46/2.12 ((![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ e_1 @ X0)
% 10.46/2.12 | ~ (greater @ X0 @ e_0)
% 10.46/2.12 | ~ (next @ e_1 @ X1)
% 10.46/2.12 | (equalish @ e_4 @ X1)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1002, zip_derived_cl20])).
% 10.46/2.12 thf(zip_derived_cl3233, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1014])).
% 10.46/2.12 thf(zip_derived_cl3243, plain,
% 10.46/2.12 ((~ (greater @ e_3 @ e_0))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_3)) &
% 10.46/2.12 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0))))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl3233])).
% 10.46/2.12 thf(zip_derived_cl6, plain, ( (greater @ e_3 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_3_greater_e_0])).
% 10.46/2.12 thf('134', plain,
% 10.46/2.12 (~ ( (cycle @ e_1 @ e_3)) |
% 10.46/2.12 ~ (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl3243, zip_derived_cl6])).
% 10.46/2.12 thf(zip_derived_cl99, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_2)) <= (( (cycle @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl3233, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1014])).
% 10.46/2.12 thf(zip_derived_cl3242, plain,
% 10.46/2.12 ((~ (greater @ e_2 @ e_0))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_2)) &
% 10.46/2.12 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0))))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl3233])).
% 10.46/2.12 thf(zip_derived_cl5, plain, ( (greater @ e_2 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_greater_e_0])).
% 10.46/2.12 thf('135', plain,
% 10.46/2.12 (~ ( (cycle @ e_1 @ e_2)) |
% 10.46/2.12 ~ (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl3242, zip_derived_cl5])).
% 10.46/2.12 thf(zip_derived_cl100, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_1)) <= (( (cycle @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl3233, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0)))
% 10.46/2.12 <= ((![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1014])).
% 10.46/2.12 thf(zip_derived_cl3241, plain,
% 10.46/2.12 ((~ (greater @ e_1 @ e_0))
% 10.46/2.12 <= (( (cycle @ e_1 @ e_1)) &
% 10.46/2.12 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0))))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl100, zip_derived_cl3233])).
% 10.46/2.12 thf(zip_derived_cl4, plain, ( (greater @ e_1 @ e_0)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_greater_e_0])).
% 10.46/2.12 thf('136', plain,
% 10.46/2.12 (~ ( (cycle @ e_1 @ e_1)) |
% 10.46/2.12 ~ (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl3241, zip_derived_cl4])).
% 10.46/2.12 thf('137', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_1 @ e_4)) |
% 10.46/2.12 (![X0 : $i]: (~ (greater @ X0 @ e_0) | ~ (cycle @ e_1 @ X0))) |
% 10.46/2.12 (![X1 : $i]: (~ (next @ e_1 @ X1) | (equalish @ e_4 @ X1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1014])).
% 10.46/2.12 thf(zip_derived_cl3232, plain,
% 10.46/2.12 ((![X1 : $i]: (~ (next @ e_1 @ X1) | (equalish @ e_4 @ X1)))
% 10.46/2.12 <= ((![X1 : $i]: (~ (next @ e_1 @ X1) | (equalish @ e_4 @ X1))))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl1014])).
% 10.46/2.12 thf(zip_derived_cl1, plain, ( (next @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_then_e_2])).
% 10.46/2.12 thf(zip_derived_cl3234, plain,
% 10.46/2.12 (( (equalish @ e_4 @ e_2))
% 10.46/2.12 <= ((![X1 : $i]: (~ (next @ e_1 @ X1) | (equalish @ e_4 @ X1))))),
% 10.46/2.12 inference('s_sup+', [status(thm)], [zip_derived_cl3232, zip_derived_cl1])).
% 10.46/2.12 thf(zip_derived_cl35, plain, (~ (equalish @ e_4 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_is_not_e_2])).
% 10.46/2.12 thf('138', plain,
% 10.46/2.12 (~ (![X1 : $i]: (~ (next @ e_1 @ X1) | (equalish @ e_4 @ X1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3234, zip_derived_cl35])).
% 10.46/2.12 thf(zip_derived_cl1002, plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_4)) <= (( (product @ e_1 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl200])).
% 10.46/2.12 thf(zip_derived_cl19, plain,
% 10.46/2.12 (![X0 : $i, X1 : $i]:
% 10.46/2.12 (~ (cycle @ X0 @ e_0)
% 10.46/2.12 | ~ (product @ X0 @ e_1 @ X1)
% 10.46/2.12 | ~ (greater @ X1 @ X0))),
% 10.46/2.12 inference('cnf', [status(esa)], [cycle6])).
% 10.46/2.12 thf(zip_derived_cl1013, plain,
% 10.46/2.12 (((~ (cycle @ e_1 @ e_0) | ~ (greater @ e_4 @ e_1)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1002, zip_derived_cl19])).
% 10.46/2.12 thf(e_4_greater_e_1, axiom, (greater @ e_4 @ e_1)).
% 10.46/2.12 thf(zip_derived_cl10, plain, ( (greater @ e_4 @ e_1)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_4_greater_e_1])).
% 10.46/2.12 thf(zip_derived_cl1015, plain,
% 10.46/2.12 ((~ (cycle @ e_1 @ e_0)) <= (( (product @ e_1 @ e_1 @ e_4)))),
% 10.46/2.12 inference('demod', [status(thm)], [zip_derived_cl1013, zip_derived_cl10])).
% 10.46/2.12 thf(zip_derived_cl101, plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_0)) <= (( (cycle @ e_1 @ e_0)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf('139', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_1 @ e_4)) | ~ ( (cycle @ e_1 @ e_0))),
% 10.46/2.12 inference('s_sup+', [status(thm)],
% 10.46/2.12 [zip_derived_cl1015, zip_derived_cl101])).
% 10.46/2.12 thf('140', plain,
% 10.46/2.12 (( (cycle @ e_1 @ e_0)) | ( (cycle @ e_1 @ e_3)) |
% 10.46/2.12 ( (cycle @ e_1 @ e_1)) | ( (cycle @ e_1 @ e_2))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl49])).
% 10.46/2.12 thf(zip_derived_cl1068, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_1 @ e_4 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl3001, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_2) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1024, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3262, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_2 @ e_2)) & ( (product @ e_1 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1068, zip_derived_cl3001])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('141', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_2 @ e_2)) | ~ ( (product @ e_1 @ e_4 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3262, zip_derived_cl30])).
% 10.46/2.12 thf(zip_derived_cl1068, plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_2)) <= (( (product @ e_1 @ e_4 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl1663, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ e_1 @ X0 @ e_2) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1660, zip_derived_cl39])).
% 10.46/2.12 thf(zip_derived_cl3261, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_1 @ e_4 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1068, zip_derived_cl1663])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('142', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_1 @ e_2)) | ~ ( (product @ e_1 @ e_4 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3261, zip_derived_cl27])).
% 10.46/2.12 thf('143', plain,
% 10.46/2.12 (( (cycle @ e_2 @ e_3)) | ( (cycle @ e_2 @ e_2)) |
% 10.46/2.12 ( (cycle @ e_2 @ e_0)) | ( (cycle @ e_2 @ e_1))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl50])).
% 10.46/2.12 thf('144', plain,
% 10.46/2.12 (( (product @ e_1 @ e_4 @ e_3)) | ( (product @ e_1 @ e_4 @ e_2)) |
% 10.46/2.12 ( (product @ e_1 @ e_4 @ e_1)) | ( (product @ e_1 @ e_4 @ e_4))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl203])).
% 10.46/2.12 thf(zip_derived_cl1488, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_4)) <= (( (product @ e_4 @ e_1 @ e_4)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.12 thf(zip_derived_cl1168, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_4 @ X0 @ e_3) | ~ (product @ X0 @ e_1 @ e_4)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1162, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl3424, plain,
% 10.46/2.12 (( (product @ e_4 @ e_4 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)) & ( (product @ e_4 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1488, zip_derived_cl1168])).
% 10.46/2.12 thf(zip_derived_cl1167, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_4 @ e_3) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1162, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl5847, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_4 @ e_3)) & ( (product @ e_4 @ e_1 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl3424, zip_derived_cl1167])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('145', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_1 @ e_4)) | ~ ( (product @ e_1 @ e_4 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl5847, zip_derived_cl27])).
% 10.46/2.12 thf('146', plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_3)) | ( (product @ e_2 @ e_1 @ e_2)) |
% 10.46/2.12 ( (product @ e_2 @ e_1 @ e_1)) | ( (product @ e_2 @ e_1 @ e_4))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf('147', plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_2)) | ( (product @ e_4 @ e_1 @ e_3)) |
% 10.46/2.12 ( (product @ e_4 @ e_1 @ e_1)) | ( (product @ e_4 @ e_1 @ e_4))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.12 thf(zip_derived_cl1178, plain,
% 10.46/2.12 (( (product @ e_2 @ e_1 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl220])).
% 10.46/2.12 thf(zip_derived_cl1664, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_2) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1660, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3380, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_2))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_2 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1178, zip_derived_cl1664])).
% 10.46/2.12 thf(zip_derived_cl25, plain, (~ (equalish @ e_1 @ e_2)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 10.46/2.12 thf('148', plain,
% 10.46/2.12 (~ ( (product @ e_1 @ e_1 @ e_2)) | ~ ( (product @ e_2 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3380, zip_derived_cl25])).
% 10.46/2.12 thf(zip_derived_cl1490, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_2)) <= (( (product @ e_4 @ e_1 @ e_2)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl265])).
% 10.46/2.12 thf(zip_derived_cl1664, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_2) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1660, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl4349, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_2)) & ( (product @ e_4 @ e_1 @ e_2)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1490, zip_derived_cl1664])).
% 10.46/2.12 thf(zip_derived_cl27, plain, (~ (equalish @ e_1 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_4])).
% 10.46/2.12 thf('149', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_1 @ e_2)) | ~ ( (product @ e_1 @ e_1 @ e_2))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl4349, zip_derived_cl27])).
% 10.46/2.12 thf(zip_derived_cl1567, plain,
% 10.46/2.12 (( (product @ e_4 @ e_1 @ e_3)) <= (( (product @ e_4 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl269])).
% 10.46/2.12 thf(zip_derived_cl1258, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_3) | (equalish @ e_2 @ X0)))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1253, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl2054, plain,
% 10.46/2.12 (( (equalish @ e_2 @ e_4))
% 10.46/2.12 <= (( (product @ e_2 @ e_1 @ e_3)) & ( (product @ e_4 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1567, zip_derived_cl1258])).
% 10.46/2.12 thf(zip_derived_cl30, plain, (~ (equalish @ e_2 @ e_4)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_2_is_not_e_4])).
% 10.46/2.12 thf('150', plain,
% 10.46/2.12 (~ ( (product @ e_4 @ e_1 @ e_3)) | ~ ( (product @ e_2 @ e_1 @ e_3))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl2054, zip_derived_cl30])).
% 10.46/2.12 thf('151', plain,
% 10.46/2.12 (( (product @ e_1 @ e_1 @ e_1)) | ( (product @ e_1 @ e_1 @ e_2)) |
% 10.46/2.12 ( (product @ e_1 @ e_1 @ e_3)) | ( (product @ e_1 @ e_1 @ e_4))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl200])).
% 10.46/2.12 thf(zip_derived_cl1337, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_1)) <= (( (product @ e_3 @ e_1 @ e_1)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl2903, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_1 @ e_1) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1005, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl3939, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_1 @ e_1)) & ( (product @ e_3 @ e_1 @ e_1)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1337, zip_derived_cl2903])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('152', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_1 @ e_1)) | ~ ( (product @ e_1 @ e_1 @ e_1))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl3939, zip_derived_cl26])).
% 10.46/2.12 thf('153', plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_3)) | ( (product @ e_3 @ e_1 @ e_1)) |
% 10.46/2.12 ( (product @ e_3 @ e_1 @ e_4)) | ( (product @ e_3 @ e_1 @ e_2))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl239])).
% 10.46/2.12 thf(zip_derived_cl1409, plain,
% 10.46/2.12 (( (product @ e_3 @ e_1 @ e_3)) <= (( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('split', [status(esa)], [zip_derived_cl243])).
% 10.46/2.12 thf(zip_derived_cl1050, plain,
% 10.46/2.12 ((![X0 : $i]:
% 10.46/2.12 ( (product @ e_3 @ X0 @ e_4) | ~ (product @ X0 @ e_1 @ e_3)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1043, zip_derived_cl41])).
% 10.46/2.12 thf(zip_derived_cl1421, plain,
% 10.46/2.12 (( (product @ e_3 @ e_3 @ e_4))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_4)) & ( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1409, zip_derived_cl1050])).
% 10.46/2.12 thf(zip_derived_cl1049, plain,
% 10.46/2.12 ((![X0 : $i]: (~ (product @ X0 @ e_3 @ e_4) | (equalish @ e_1 @ X0)))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_4)))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1043, zip_derived_cl40])).
% 10.46/2.12 thf(zip_derived_cl1525, plain,
% 10.46/2.12 (( (equalish @ e_1 @ e_3))
% 10.46/2.12 <= (( (product @ e_1 @ e_3 @ e_4)) & ( (product @ e_3 @ e_1 @ e_3)))),
% 10.46/2.12 inference('s_sup-', [status(thm)],
% 10.46/2.12 [zip_derived_cl1421, zip_derived_cl1049])).
% 10.46/2.12 thf(zip_derived_cl26, plain, (~ (equalish @ e_1 @ e_3)),
% 10.46/2.12 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 10.46/2.12 thf('154', plain,
% 10.46/2.12 (~ ( (product @ e_3 @ e_1 @ e_3)) | ~ ( (product @ e_1 @ e_3 @ e_4))),
% 10.46/2.12 inference('s_sup-', [status(thm)], [zip_derived_cl1525, zip_derived_cl26])).
% 10.46/2.12 thf(zip_derived_cl9213, plain, ($false),
% 10.46/2.12 inference('sat_resolution*', [status(thm)],
% 10.46/2.12 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 10.46/2.12 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 10.46/2.12 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 10.46/2.12 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41',
% 10.46/2.12 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51',
% 10.46/2.12 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61',
% 10.46/2.12 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71',
% 10.46/2.12 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81',
% 10.46/2.12 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91',
% 10.46/2.12 '92', '93', '94', '95', '96', '97', '98', '99', '100', '101',
% 10.46/2.12 '102', '103', '104', '105', '106', '107', '108', '109',
% 10.46/2.12 '110', '111', '112', '113', '114', '115', '116', '117',
% 10.46/2.12 '118', '119', '120', '121', '122', '123', '124', '125',
% 10.46/2.12 '126', '127', '128', '129', '130', '131', '132', '133',
% 10.46/2.12 '134', '135', '136', '137', '138', '139', '140', '141',
% 10.46/2.12 '142', '143', '144', '145', '146', '147', '148', '149',
% 10.46/2.12 '150', '151', '152', '153', '154'])).
% 10.46/2.12
% 10.46/2.12 % SZS output end Refutation
% 10.46/2.12
% 10.46/2.12
% 10.46/2.12 % Terminating...
% 10.46/2.17 % Runner terminated.
% 10.46/2.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------