TSTP Solution File: GRP134-2.003 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP134-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tdqmCpmOXz true
% Computer : n031.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 01:50:18 EDT 2023
% Result : Unsatisfiable 1.30s 0.91s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP134-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tdqmCpmOXz true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:53:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.91 % Solved by fo/fo3_bce.sh.
% 1.30/0.91 % BCE start: 20
% 1.30/0.91 % BCE eliminated: 0
% 1.30/0.91 % PE start: 20
% 1.30/0.91 logic: neq
% 1.30/0.91 % PE eliminated: -4
% 1.30/0.91 % done 235 iterations in 0.133s
% 1.30/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.91 % SZS output start Refutation
% 1.30/0.91 thf(greater_type, type, greater: $i > $i > $o).
% 1.30/0.91 thf(product_type, type, product: $i > $i > $i > $o).
% 1.30/0.91 thf(e_3_type, type, e_3: $i).
% 1.30/0.91 thf(e_2_type, type, e_2: $i).
% 1.30/0.91 thf(e_1_type, type, e_1: $i).
% 1.30/0.91 thf(next_type, type, next: $i > $i > $o).
% 1.30/0.91 thf(group_element_type, type, group_element: $i > $o).
% 1.30/0.91 thf(equalish_type, type, equalish: $i > $i > $o).
% 1.30/0.91 thf(product_total_function1, axiom,
% 1.30/0.91 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 1.30/0.91 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ) |
% 1.30/0.91 ( product @ X @ Y @ e_3 ))).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(product_right_cancellation, axiom,
% 1.30/0.91 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 1.30/0.91 ( equalish @ W @ Z ))).
% 1.30/0.91 thf(zip_derived_cl17, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.91 (~ (product @ X0 @ X1 @ X2)
% 1.30/0.91 | ~ (product @ X0 @ X3 @ X2)
% 1.30/0.91 | (equalish @ X1 @ X3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_right_cancellation])).
% 1.30/0.91 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 1.30/0.91 thf(zip_derived_cl12, plain, (~ (equalish @ e_2 @ e_3)),
% 1.30/0.91 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 1.30/0.91 thf(zip_derived_cl32, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ e_3 @ X0) | ~ (product @ X1 @ e_2 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl17, zip_derived_cl12])).
% 1.30/0.91 thf(zip_derived_cl60, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ X0 @ e_3 @ e_2)
% 1.30/0.91 | (product @ X0 @ e_3 @ e_1)
% 1.30/0.91 | ~ (group_element @ e_3)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (product @ X0 @ e_2 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl32])).
% 1.30/0.91 thf(element_3, axiom, (group_element @ e_3)).
% 1.30/0.91 thf(zip_derived_cl8, plain, ( (group_element @ e_3)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_3])).
% 1.30/0.91 thf(zip_derived_cl61, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ X0 @ e_3 @ e_2)
% 1.30/0.91 | (product @ X0 @ e_3 @ e_1)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (product @ X0 @ e_2 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl8])).
% 1.30/0.91 thf(zip_derived_cl17, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.91 (~ (product @ X0 @ X1 @ X2)
% 1.30/0.91 | ~ (product @ X0 @ X3 @ X2)
% 1.30/0.91 | (equalish @ X1 @ X3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_right_cancellation])).
% 1.30/0.91 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 1.30/0.91 thf(zip_derived_cl9, plain, (~ (equalish @ e_1 @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 1.30/0.91 thf(zip_derived_cl29, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl17, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(product_left_cancellation, axiom,
% 1.30/0.91 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 1.30/0.91 ( equalish @ W @ Z ))).
% 1.30/0.91 thf(zip_derived_cl18, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.91 (~ (product @ X0 @ X1 @ X2)
% 1.30/0.91 | ~ (product @ X3 @ X1 @ X2)
% 1.30/0.91 | (equalish @ X0 @ X3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_left_cancellation])).
% 1.30/0.91 thf(zip_derived_cl9, plain, (~ (equalish @ e_1 @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 1.30/0.91 thf(zip_derived_cl35, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl68, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ e_2 @ X0 @ e_2)
% 1.30/0.91 | (product @ e_2 @ X0 @ e_1)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | ~ (product @ e_1 @ X0 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl35])).
% 1.30/0.91 thf(element_2, axiom, (group_element @ e_2)).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl69, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ e_2 @ X0 @ e_2)
% 1.30/0.91 | (product @ e_2 @ X0 @ e_1)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (product @ e_1 @ X0 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl7])).
% 1.30/0.91 thf(zip_derived_cl403, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_2)
% 1.30/0.91 | ~ (product @ e_1 @ e_2 @ e_3)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl69])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl407, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_2)
% 1.30/0.91 | ~ (product @ e_1 @ e_2 @ e_3)
% 1.30/0.91 | (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl7])).
% 1.30/0.91 thf(qg4, conjecture,
% 1.30/0.91 (~( ( product @ Z1 @ Z2 @ Y ) | ( ~( product @ Y @ X @ Z2 ) ) |
% 1.30/0.91 ( ~( product @ X @ Y @ Z1 ) ) ))).
% 1.30/0.91 thf(zf_stmt_0, negated_conjecture,
% 1.30/0.91 (( product @ Z1 @ Z2 @ Y ) | ( ~( product @ Y @ X @ Z2 ) ) |
% 1.30/0.91 ( ~( product @ X @ Y @ Z1 ) )),
% 1.30/0.91 inference('cnf.neg', [status(esa)], [qg4])).
% 1.30/0.91 thf(zip_derived_cl19, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.91 ( (product @ X0 @ X1 @ X2)
% 1.30/0.91 | ~ (product @ X2 @ X3 @ X1)
% 1.30/0.91 | ~ (product @ X3 @ X2 @ X0))),
% 1.30/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.91 thf(zip_derived_cl66, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ X1 @ X0) | (product @ X0 @ X0 @ X1))),
% 1.30/0.91 inference('eq_fact', [status(thm)], [zip_derived_cl19])).
% 1.30/0.91 thf(zip_derived_cl674, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_2 @ e_3)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_2)
% 1.30/0.91 | (product @ e_1 @ e_1 @ e_2))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl407, zip_derived_cl66])).
% 1.30/0.91 thf(zip_derived_cl35, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl692, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_3))),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl674, zip_derived_cl35])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(zip_derived_cl29, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl17, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl52, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ X0 @ e_2 @ e_2)
% 1.30/0.91 | (product @ X0 @ e_2 @ e_1)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (product @ X0 @ e_1 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl29])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl53, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ X0 @ e_2 @ e_2)
% 1.30/0.91 | (product @ X0 @ e_2 @ e_1)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (product @ X0 @ e_1 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl7])).
% 1.30/0.91 thf(zip_derived_cl35, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(zip_derived_cl17, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.91 (~ (product @ X0 @ X1 @ X2)
% 1.30/0.91 | ~ (product @ X0 @ X3 @ X2)
% 1.30/0.91 | (equalish @ X1 @ X3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_right_cancellation])).
% 1.30/0.91 thf(e_1_is_not_e_3, axiom, (~( equalish @ e_1 @ e_3 ))).
% 1.30/0.91 thf(zip_derived_cl10, plain, (~ (equalish @ e_1 @ e_3)),
% 1.30/0.91 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 1.30/0.91 thf(zip_derived_cl30, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ e_3 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl17, zip_derived_cl10])).
% 1.30/0.91 thf(zip_derived_cl56, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ X0 @ e_3 @ e_2)
% 1.30/0.91 | (product @ X0 @ e_3 @ e_1)
% 1.30/0.91 | ~ (group_element @ e_3)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (product @ X0 @ e_1 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl30])).
% 1.30/0.91 thf(zip_derived_cl8, plain, ( (group_element @ e_3)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_3])).
% 1.30/0.91 thf(zip_derived_cl57, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ X0 @ e_3 @ e_2)
% 1.30/0.91 | (product @ X0 @ e_3 @ e_1)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (product @ X0 @ e_1 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl8])).
% 1.30/0.91 thf(zip_derived_cl167, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_3 @ e_2)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | (product @ e_2 @ e_3 @ e_1))),
% 1.30/0.91 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl57])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl170, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_3 @ e_2)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | (product @ e_2 @ e_3 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl7])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(zip_derived_cl61, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ X0 @ e_3 @ e_2)
% 1.30/0.91 | (product @ X0 @ e_3 @ e_1)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (product @ X0 @ e_2 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl8])).
% 1.30/0.91 thf(zip_derived_cl66, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ X1 @ X0) | (product @ X0 @ X0 @ X1))),
% 1.30/0.91 inference('eq_fact', [status(thm)], [zip_derived_cl19])).
% 1.30/0.91 thf(zip_derived_cl219, plain,
% 1.30/0.91 ((~ (product @ e_3 @ e_2 @ e_3)
% 1.30/0.91 | ~ (group_element @ e_3)
% 1.30/0.91 | (product @ e_3 @ e_3 @ e_1)
% 1.30/0.91 | (product @ e_2 @ e_2 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl66])).
% 1.30/0.91 thf(zip_derived_cl8, plain, ( (group_element @ e_3)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_3])).
% 1.30/0.91 thf(zip_derived_cl235, plain,
% 1.30/0.91 ((~ (product @ e_3 @ e_2 @ e_3)
% 1.30/0.91 | (product @ e_3 @ e_3 @ e_1)
% 1.30/0.91 | (product @ e_2 @ e_2 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl219, zip_derived_cl8])).
% 1.30/0.91 thf(zip_derived_cl18, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.91 (~ (product @ X0 @ X1 @ X2)
% 1.30/0.91 | ~ (product @ X3 @ X1 @ X2)
% 1.30/0.91 | (equalish @ X0 @ X3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_left_cancellation])).
% 1.30/0.91 thf(zip_derived_cl12, plain, (~ (equalish @ e_2 @ e_3)),
% 1.30/0.91 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 1.30/0.91 thf(zip_derived_cl38, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_2 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl12])).
% 1.30/0.91 thf(zip_derived_cl295, plain,
% 1.30/0.91 (( (product @ e_3 @ e_3 @ e_1) | ~ (product @ e_3 @ e_2 @ e_3))),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl235, zip_derived_cl38])).
% 1.30/0.91 thf(zip_derived_cl66, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ X1 @ X0) | (product @ X0 @ X0 @ X1))),
% 1.30/0.91 inference('eq_fact', [status(thm)], [zip_derived_cl19])).
% 1.30/0.91 thf(zip_derived_cl297, plain,
% 1.30/0.91 ((~ (product @ e_3 @ e_2 @ e_3) | (product @ e_1 @ e_1 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl66])).
% 1.30/0.91 thf(e_3_greater_e_2, axiom, (greater @ e_3 @ e_2)).
% 1.30/0.91 thf(zip_derived_cl4, plain, ( (greater @ e_3 @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [e_3_greater_e_2])).
% 1.30/0.91 thf(e_1_then_e_2, axiom, (next @ e_1 @ e_2)).
% 1.30/0.91 thf(zip_derived_cl0, plain, ( (next @ e_1 @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [e_1_then_e_2])).
% 1.30/0.91 thf(no_redundancy, axiom,
% 1.30/0.91 (( ~( product @ X @ e_1 @ Y ) ) | ( ~( next @ X @ X1 ) ) |
% 1.30/0.91 ( ~( greater @ Y @ X1 ) ))).
% 1.30/0.91 thf(zip_derived_cl5, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.91 (~ (product @ X0 @ e_1 @ X1)
% 1.30/0.91 | ~ (next @ X0 @ X2)
% 1.30/0.91 | ~ (greater @ X1 @ X2))),
% 1.30/0.91 inference('cnf', [status(esa)], [no_redundancy])).
% 1.30/0.91 thf(zip_derived_cl20, plain,
% 1.30/0.91 (![X0 : $i]: (~ (greater @ X0 @ e_2) | ~ (product @ e_1 @ e_1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl0, zip_derived_cl5])).
% 1.30/0.91 thf(zip_derived_cl22, plain, (~ (product @ e_1 @ e_1 @ e_3)),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl4, zip_derived_cl20])).
% 1.30/0.91 thf(zip_derived_cl306, plain, (~ (product @ e_3 @ e_2 @ e_3)),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl22])).
% 1.30/0.91 thf(zip_derived_cl308, plain,
% 1.30/0.91 (( (product @ e_3 @ e_2 @ e_2)
% 1.30/0.91 | (product @ e_3 @ e_2 @ e_1)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | ~ (group_element @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl306])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl8, plain, ( (group_element @ e_3)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_3])).
% 1.30/0.91 thf(zip_derived_cl309, plain,
% 1.30/0.91 (( (product @ e_3 @ e_2 @ e_2) | (product @ e_3 @ e_2 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl308, zip_derived_cl7, zip_derived_cl8])).
% 1.30/0.91 thf(zip_derived_cl38, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_2 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl12])).
% 1.30/0.91 thf(zip_derived_cl315, plain,
% 1.30/0.91 (( (product @ e_3 @ e_2 @ e_1) | ~ (product @ e_2 @ e_2 @ e_2))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl38])).
% 1.30/0.91 thf(zip_derived_cl19, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.91 ( (product @ X0 @ X1 @ X2)
% 1.30/0.91 | ~ (product @ X2 @ X3 @ X1)
% 1.30/0.91 | ~ (product @ X3 @ X2 @ X0))),
% 1.30/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.91 thf(zip_derived_cl380, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 (~ (product @ e_2 @ e_2 @ e_2)
% 1.30/0.91 | ~ (product @ e_2 @ e_3 @ X0)
% 1.30/0.91 | (product @ X0 @ e_1 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl315, zip_derived_cl19])).
% 1.30/0.91 thf(zip_derived_cl453, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | ~ (product @ e_1 @ e_3 @ e_2)
% 1.30/0.91 | (product @ e_1 @ e_1 @ e_3)
% 1.30/0.91 | ~ (product @ e_2 @ e_2 @ e_2))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl380])).
% 1.30/0.91 thf(zip_derived_cl22, plain, (~ (product @ e_1 @ e_1 @ e_3)),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl4, zip_derived_cl20])).
% 1.30/0.91 thf(zip_derived_cl458, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | ~ (product @ e_1 @ e_3 @ e_2)
% 1.30/0.91 | ~ (product @ e_2 @ e_2 @ e_2))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl453, zip_derived_cl22])).
% 1.30/0.91 thf(zip_derived_cl462, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | (product @ e_2 @ e_2 @ e_1)
% 1.30/0.91 | ~ (product @ e_1 @ e_3 @ e_2)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl458])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl465, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | (product @ e_2 @ e_2 @ e_1)
% 1.30/0.91 | ~ (product @ e_1 @ e_3 @ e_2)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl462, zip_derived_cl7])).
% 1.30/0.91 thf(zip_derived_cl466, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_3 @ e_2)
% 1.30/0.91 | (product @ e_2 @ e_2 @ e_1)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_3))),
% 1.30/0.91 inference('simplify', [status(thm)], [zip_derived_cl465])).
% 1.30/0.91 thf(zip_derived_cl170, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_3 @ e_2)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | (product @ e_2 @ e_3 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl7])).
% 1.30/0.91 thf(zip_derived_cl32, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ e_3 @ X0) | ~ (product @ X1 @ e_2 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl17, zip_derived_cl12])).
% 1.30/0.91 thf(zip_derived_cl241, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | ~ (product @ e_1 @ e_3 @ e_2)
% 1.30/0.91 | ~ (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl32])).
% 1.30/0.91 thf(zip_derived_cl526, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_3) | ~ (product @ e_1 @ e_3 @ e_2))),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl466, zip_derived_cl241])).
% 1.30/0.91 thf(zip_derived_cl528, plain,
% 1.30/0.91 (( (product @ e_2 @ e_1 @ e_2)
% 1.30/0.91 | (product @ e_2 @ e_1 @ e_1)
% 1.30/0.91 | ~ (group_element @ e_1)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | ~ (product @ e_1 @ e_3 @ e_2))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl526])).
% 1.30/0.91 thf(zip_derived_cl22, plain, (~ (product @ e_1 @ e_1 @ e_3)),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl4, zip_derived_cl20])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(zip_derived_cl42, plain,
% 1.30/0.91 (( (product @ e_1 @ e_1 @ e_2)
% 1.30/0.91 | (product @ e_1 @ e_1 @ e_1)
% 1.30/0.91 | ~ (group_element @ e_1)
% 1.30/0.91 | ~ (group_element @ e_1))),
% 1.30/0.91 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl15])).
% 1.30/0.91 thf(element_1, axiom, (group_element @ e_1)).
% 1.30/0.91 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_1])).
% 1.30/0.91 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_1])).
% 1.30/0.91 thf(zip_derived_cl43, plain,
% 1.30/0.91 (( (product @ e_1 @ e_1 @ e_2) | (product @ e_1 @ e_1 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl42, zip_derived_cl6, zip_derived_cl6])).
% 1.30/0.91 thf(zip_derived_cl66, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ X1 @ X0) | (product @ X0 @ X0 @ X1))),
% 1.30/0.91 inference('eq_fact', [status(thm)], [zip_derived_cl19])).
% 1.30/0.91 thf(zip_derived_cl80, plain,
% 1.30/0.91 (( (product @ e_1 @ e_1 @ e_1) | (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl66])).
% 1.30/0.91 thf(zip_derived_cl29, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl17, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl104, plain,
% 1.30/0.91 (( (product @ e_1 @ e_1 @ e_1) | ~ (product @ e_2 @ e_1 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl29])).
% 1.30/0.91 thf(zip_derived_cl35, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl108, plain, (~ (product @ e_2 @ e_1 @ e_1)),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl104, zip_derived_cl35])).
% 1.30/0.91 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_1])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl529, plain,
% 1.30/0.91 (( (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_3 @ e_2))),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl528, zip_derived_cl108, zip_derived_cl6,
% 1.30/0.91 zip_derived_cl7])).
% 1.30/0.91 thf(zip_derived_cl695, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_2 @ e_3) | ~ (product @ e_1 @ e_3 @ e_2))),
% 1.30/0.91 inference('sup+', [status(thm)], [zip_derived_cl692, zip_derived_cl529])).
% 1.30/0.91 thf(zip_derived_cl729, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_2 @ e_3)
% 1.30/0.91 | ~ (group_element @ e_1)
% 1.30/0.91 | (product @ e_1 @ e_3 @ e_1)
% 1.30/0.91 | ~ (product @ e_1 @ e_2 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl695])).
% 1.30/0.91 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_1])).
% 1.30/0.91 thf(zip_derived_cl731, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_2 @ e_3)
% 1.30/0.91 | (product @ e_1 @ e_3 @ e_1)
% 1.30/0.91 | ~ (product @ e_1 @ e_2 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl729, zip_derived_cl6])).
% 1.30/0.91 thf(zip_derived_cl732, plain,
% 1.30/0.91 (( (product @ e_1 @ e_3 @ e_1) | ~ (product @ e_1 @ e_2 @ e_3))),
% 1.30/0.91 inference('simplify', [status(thm)], [zip_derived_cl731])).
% 1.30/0.91 thf(zip_derived_cl30, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ e_3 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl17, zip_derived_cl10])).
% 1.30/0.91 thf(zip_derived_cl738, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_2 @ e_3) | ~ (product @ e_1 @ e_1 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl732, zip_derived_cl30])).
% 1.30/0.91 thf(zip_derived_cl746, plain,
% 1.30/0.91 (( (product @ e_1 @ e_2 @ e_2)
% 1.30/0.91 | (product @ e_1 @ e_2 @ e_1)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | ~ (group_element @ e_1)
% 1.30/0.91 | ~ (product @ e_1 @ e_1 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl738])).
% 1.30/0.91 thf(zip_derived_cl80, plain,
% 1.30/0.91 (( (product @ e_1 @ e_1 @ e_1) | (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl66])).
% 1.30/0.91 thf(zip_derived_cl35, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl105, plain,
% 1.30/0.91 (( (product @ e_1 @ e_1 @ e_1) | ~ (product @ e_1 @ e_2 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl35])).
% 1.30/0.91 thf(zip_derived_cl29, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl17, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl109, plain, (~ (product @ e_1 @ e_2 @ e_1)),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl105, zip_derived_cl29])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_1])).
% 1.30/0.91 thf(zip_derived_cl747, plain,
% 1.30/0.91 (( (product @ e_1 @ e_2 @ e_2) | ~ (product @ e_1 @ e_1 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl746, zip_derived_cl109, zip_derived_cl7,
% 1.30/0.91 zip_derived_cl6])).
% 1.30/0.91 thf(zip_derived_cl747, plain,
% 1.30/0.91 (( (product @ e_1 @ e_2 @ e_2) | ~ (product @ e_1 @ e_1 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl746, zip_derived_cl109, zip_derived_cl7,
% 1.30/0.91 zip_derived_cl6])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(zip_derived_cl35, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl53, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ X0 @ e_2 @ e_2)
% 1.30/0.91 | (product @ X0 @ e_2 @ e_1)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (product @ X0 @ e_1 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl7])).
% 1.30/0.91 thf(zip_derived_cl92, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_2 @ e_2)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl53])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl95, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_2 @ e_2)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl7])).
% 1.30/0.91 thf(zip_derived_cl66, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ X1 @ X0) | (product @ X0 @ X0 @ X1))),
% 1.30/0.91 inference('eq_fact', [status(thm)], [zip_derived_cl19])).
% 1.30/0.91 thf(zip_derived_cl113, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | ~ (product @ e_1 @ e_2 @ e_2)
% 1.30/0.91 | (product @ e_1 @ e_1 @ e_2))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl66])).
% 1.30/0.91 thf(zip_derived_cl29, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl17, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl122, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_2 @ e_2) | ~ (product @ e_2 @ e_1 @ e_3))),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl113, zip_derived_cl29])).
% 1.30/0.91 thf(zip_derived_cl124, plain,
% 1.30/0.91 (( (product @ e_2 @ e_1 @ e_2)
% 1.30/0.91 | (product @ e_2 @ e_1 @ e_1)
% 1.30/0.91 | ~ (group_element @ e_1)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | ~ (product @ e_1 @ e_2 @ e_2))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl122])).
% 1.30/0.91 thf(zip_derived_cl108, plain, (~ (product @ e_2 @ e_1 @ e_1)),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl104, zip_derived_cl35])).
% 1.30/0.91 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_1])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl125, plain,
% 1.30/0.91 (( (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_2))),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl124, zip_derived_cl108, zip_derived_cl6,
% 1.30/0.91 zip_derived_cl7])).
% 1.30/0.91 thf(zip_derived_cl19, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.91 ( (product @ X0 @ X1 @ X2)
% 1.30/0.91 | ~ (product @ X2 @ X3 @ X1)
% 1.30/0.91 | ~ (product @ X3 @ X2 @ X0))),
% 1.30/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.91 thf(zip_derived_cl127, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 (~ (product @ e_1 @ e_2 @ e_2)
% 1.30/0.91 | ~ (product @ e_1 @ e_2 @ X0)
% 1.30/0.91 | (product @ X0 @ e_2 @ e_2))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl19])).
% 1.30/0.91 thf(zip_derived_cl753, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 (~ (product @ e_1 @ e_1 @ e_1)
% 1.30/0.91 | (product @ X0 @ e_2 @ e_2)
% 1.30/0.91 | ~ (product @ e_1 @ e_2 @ X0))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl747, zip_derived_cl127])).
% 1.30/0.91 thf(zip_derived_cl795, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_1 @ e_1)
% 1.30/0.91 | (product @ e_2 @ e_2 @ e_2)
% 1.30/0.91 | ~ (product @ e_1 @ e_1 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl747, zip_derived_cl753])).
% 1.30/0.91 thf(zip_derived_cl798, plain,
% 1.30/0.91 (( (product @ e_2 @ e_2 @ e_2) | ~ (product @ e_1 @ e_1 @ e_1))),
% 1.30/0.91 inference('simplify', [status(thm)], [zip_derived_cl795])).
% 1.30/0.91 thf(zip_derived_cl35, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl804, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_1 @ e_1) | ~ (product @ e_1 @ e_2 @ e_2))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl798, zip_derived_cl35])).
% 1.30/0.91 thf(zip_derived_cl309, plain,
% 1.30/0.91 (( (product @ e_3 @ e_2 @ e_2) | (product @ e_3 @ e_2 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl308, zip_derived_cl7, zip_derived_cl8])).
% 1.30/0.91 thf(zip_derived_cl18, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.91 (~ (product @ X0 @ X1 @ X2)
% 1.30/0.91 | ~ (product @ X3 @ X1 @ X2)
% 1.30/0.91 | (equalish @ X0 @ X3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_left_cancellation])).
% 1.30/0.91 thf(zip_derived_cl10, plain, (~ (equalish @ e_1 @ e_3)),
% 1.30/0.91 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 1.30/0.91 thf(zip_derived_cl36, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl10])).
% 1.30/0.91 thf(zip_derived_cl314, plain,
% 1.30/0.91 (( (product @ e_3 @ e_2 @ e_1) | ~ (product @ e_1 @ e_2 @ e_2))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl36])).
% 1.30/0.91 thf(zip_derived_cl38, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_2 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl12])).
% 1.30/0.91 thf(zip_derived_cl371, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_2 @ e_2) | ~ (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl314, zip_derived_cl38])).
% 1.30/0.91 thf(zip_derived_cl80, plain,
% 1.30/0.91 (( (product @ e_1 @ e_1 @ e_1) | (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl66])).
% 1.30/0.91 thf(zip_derived_cl391, plain,
% 1.30/0.91 ((~ (product @ e_1 @ e_2 @ e_2) | (product @ e_1 @ e_1 @ e_1))),
% 1.30/0.91 inference('sup+', [status(thm)], [zip_derived_cl371, zip_derived_cl80])).
% 1.30/0.91 thf(zip_derived_cl824, plain, (~ (product @ e_1 @ e_2 @ e_2)),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl804, zip_derived_cl391])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(zip_derived_cl309, plain,
% 1.30/0.91 (( (product @ e_3 @ e_2 @ e_2) | (product @ e_3 @ e_2 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl308, zip_derived_cl7, zip_derived_cl8])).
% 1.30/0.91 thf(zip_derived_cl29, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl17, zip_derived_cl9])).
% 1.30/0.91 thf(zip_derived_cl313, plain,
% 1.30/0.91 (( (product @ e_3 @ e_2 @ e_1) | ~ (product @ e_3 @ e_1 @ e_2))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl29])).
% 1.30/0.91 thf(zip_derived_cl38, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_2 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl12])).
% 1.30/0.91 thf(zip_derived_cl324, plain,
% 1.30/0.91 ((~ (product @ e_3 @ e_1 @ e_2) | ~ (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl38])).
% 1.30/0.91 thf(zip_derived_cl15, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ X1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_1)
% 1.30/0.91 | (product @ X0 @ X1 @ e_2)
% 1.30/0.91 | (product @ X0 @ X1 @ e_3))),
% 1.30/0.91 inference('cnf', [status(esa)], [product_total_function1])).
% 1.30/0.91 thf(zip_derived_cl38, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i]:
% 1.30/0.91 (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_2 @ X1 @ X0))),
% 1.30/0.91 inference('dp-resolution', [status(thm)],
% 1.30/0.91 [zip_derived_cl18, zip_derived_cl12])).
% 1.30/0.91 thf(zip_derived_cl76, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ e_3 @ X0 @ e_2)
% 1.30/0.91 | (product @ e_3 @ X0 @ e_1)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (group_element @ e_3)
% 1.30/0.91 | ~ (product @ e_2 @ X0 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl38])).
% 1.30/0.91 thf(zip_derived_cl8, plain, ( (group_element @ e_3)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_3])).
% 1.30/0.91 thf(zip_derived_cl77, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 ( (product @ e_3 @ X0 @ e_2)
% 1.30/0.91 | (product @ e_3 @ X0 @ e_1)
% 1.30/0.91 | ~ (group_element @ X0)
% 1.30/0.91 | ~ (product @ e_2 @ X0 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl8])).
% 1.30/0.91 thf(zip_derived_cl583, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_2 @ e_1)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | ~ (group_element @ e_1)
% 1.30/0.91 | (product @ e_3 @ e_1 @ e_1))),
% 1.30/0.91 inference('sup+', [status(thm)], [zip_derived_cl324, zip_derived_cl77])).
% 1.30/0.91 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_1])).
% 1.30/0.91 thf(zip_derived_cl587, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_2 @ e_1)
% 1.30/0.91 | ~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | (product @ e_3 @ e_1 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl583, zip_derived_cl6])).
% 1.30/0.91 thf(zip_derived_cl80, plain,
% 1.30/0.91 (( (product @ e_1 @ e_1 @ e_1) | (product @ e_2 @ e_2 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl66])).
% 1.30/0.91 thf(zip_derived_cl824, plain, (~ (product @ e_1 @ e_2 @ e_2)),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl804, zip_derived_cl391])).
% 1.30/0.91 thf(zip_derived_cl747, plain,
% 1.30/0.91 (( (product @ e_1 @ e_2 @ e_2) | ~ (product @ e_1 @ e_1 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl746, zip_derived_cl109, zip_derived_cl7,
% 1.30/0.91 zip_derived_cl6])).
% 1.30/0.91 thf(zip_derived_cl826, plain, (~ (product @ e_1 @ e_1 @ e_1)),
% 1.30/0.91 inference('sup+', [status(thm)], [zip_derived_cl824, zip_derived_cl747])).
% 1.30/0.91 thf(zip_derived_cl832, plain, ( (product @ e_2 @ e_2 @ e_1)),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl826])).
% 1.30/0.91 thf(zip_derived_cl843, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_3) | (product @ e_3 @ e_1 @ e_1))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl587, zip_derived_cl832])).
% 1.30/0.91 thf(zip_derived_cl732, plain,
% 1.30/0.91 (( (product @ e_1 @ e_3 @ e_1) | ~ (product @ e_1 @ e_2 @ e_3))),
% 1.30/0.91 inference('simplify', [status(thm)], [zip_derived_cl731])).
% 1.30/0.91 thf(zip_derived_cl19, plain,
% 1.30/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.91 ( (product @ X0 @ X1 @ X2)
% 1.30/0.91 | ~ (product @ X2 @ X3 @ X1)
% 1.30/0.91 | ~ (product @ X3 @ X2 @ X0))),
% 1.30/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.91 thf(zip_derived_cl737, plain,
% 1.30/0.91 (![X0 : $i]:
% 1.30/0.91 (~ (product @ e_1 @ e_2 @ e_3)
% 1.30/0.91 | ~ (product @ e_3 @ e_1 @ X0)
% 1.30/0.91 | (product @ X0 @ e_1 @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl732, zip_derived_cl19])).
% 1.30/0.91 thf(zip_derived_cl885, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_3)
% 1.30/0.91 | (product @ e_1 @ e_1 @ e_1)
% 1.30/0.91 | ~ (product @ e_1 @ e_2 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl737])).
% 1.30/0.91 thf(zip_derived_cl826, plain, (~ (product @ e_1 @ e_1 @ e_1)),
% 1.30/0.91 inference('sup+', [status(thm)], [zip_derived_cl824, zip_derived_cl747])).
% 1.30/0.91 thf(zip_derived_cl896, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_3) | ~ (product @ e_1 @ e_2 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl885, zip_derived_cl826])).
% 1.30/0.91 thf(zip_derived_cl909, plain,
% 1.30/0.91 (( (product @ e_2 @ e_1 @ e_2)
% 1.30/0.91 | (product @ e_2 @ e_1 @ e_1)
% 1.30/0.91 | ~ (group_element @ e_1)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | ~ (product @ e_1 @ e_2 @ e_3))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl896])).
% 1.30/0.91 thf(zip_derived_cl108, plain, (~ (product @ e_2 @ e_1 @ e_1)),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl104, zip_derived_cl35])).
% 1.30/0.91 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_1])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl910, plain,
% 1.30/0.91 (( (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_3))),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl909, zip_derived_cl108, zip_derived_cl6,
% 1.30/0.91 zip_derived_cl7])).
% 1.30/0.91 thf(zip_derived_cl692, plain,
% 1.30/0.91 ((~ (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_3))),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl674, zip_derived_cl35])).
% 1.30/0.91 thf(zip_derived_cl986, plain, (~ (product @ e_1 @ e_2 @ e_3)),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl910, zip_derived_cl692])).
% 1.30/0.91 thf(zip_derived_cl988, plain,
% 1.30/0.91 (( (product @ e_1 @ e_2 @ e_2)
% 1.30/0.91 | (product @ e_1 @ e_2 @ e_1)
% 1.30/0.91 | ~ (group_element @ e_2)
% 1.30/0.91 | ~ (group_element @ e_1))),
% 1.30/0.91 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl986])).
% 1.30/0.91 thf(zip_derived_cl109, plain, (~ (product @ e_1 @ e_2 @ e_1)),
% 1.30/0.91 inference('clc', [status(thm)], [zip_derived_cl105, zip_derived_cl29])).
% 1.30/0.91 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_2])).
% 1.30/0.91 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 1.30/0.91 inference('cnf', [status(esa)], [element_1])).
% 1.30/0.91 thf(zip_derived_cl989, plain, ( (product @ e_1 @ e_2 @ e_2)),
% 1.30/0.91 inference('demod', [status(thm)],
% 1.30/0.91 [zip_derived_cl988, zip_derived_cl109, zip_derived_cl7,
% 1.30/0.91 zip_derived_cl6])).
% 1.30/0.91 thf(zip_derived_cl991, plain, ($false),
% 1.30/0.91 inference('demod', [status(thm)], [zip_derived_cl824, zip_derived_cl989])).
% 1.30/0.91
% 1.30/0.91 % SZS output end Refutation
% 1.30/0.91
% 1.30/0.91
% 1.30/0.91 % Terminating...
% 1.60/0.97 % Runner terminated.
% 1.60/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------