%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP132-2.002 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.07ct4VjiFM true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:35:47 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.79s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP132-2.002 : TPTP v9.2.0. Released v1.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.07ct4VjiFM true
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:11:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.57/0.66 % Total configuration time : 435
% 0.57/0.66 % Estimated wc time : 1092
% 0.57/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % Solved by fo/fo3_bce.sh.
% 0.58/0.79 % BCE start: 13
% 0.58/0.79 % BCE eliminated: 0
% 0.58/0.79 % PE start: 13
% 0.58/0.79 logic: neq
% 0.58/0.79 % PE eliminated: 0
% 0.58/0.79 % done 34 iterations in 0.020s
% 0.58/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.79 % SZS output start Refutation
% 0.58/0.79 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.58/0.79 thf(product_type, type, product: $i > $i > $i > $o).
% 0.58/0.79 thf(e_2_type, type, e_2: $i).
% 0.58/0.79 thf(e_1_type, type, e_1: $i).
% 0.58/0.79 thf(group_element_type, type, group_element: $i > $o).
% 0.58/0.79 thf(product_total_function1, axiom,
% 0.58/0.79 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.58/0.79 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ))).
% 0.58/0.79 thf(zip_derived_cl7, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 (~ (group_element @ X0)
% 0.58/0.79 | ~ (group_element @ X1)
% 0.58/0.79 | (product @ X0 @ X1 @ e_1)
% 0.58/0.79 | (product @ X0 @ X1 @ e_2))),
% 0.58/0.79 inference('cnf', [status(esa)], [product_total_function1])).
% 0.58/0.79 thf(product_right_cancellation, axiom,
% 0.58/0.79 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 0.58/0.79 ( equalish @ W @ Z ))).
% 0.58/0.79 thf(zip_derived_cl9, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.79 (~ (product @ X0 @ X1 @ X2)
% 0.58/0.79 | ~ (product @ X0 @ X3 @ X2)
% 0.58/0.79 | (equalish @ X1 @ X3))),
% 0.58/0.79 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.58/0.79 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.58/0.79 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.58/0.79 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.58/0.79 thf(zip_derived_cl16, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.58/0.79 inference('dp-resolution', [status(thm)],
% 0.58/0.79 [zip_derived_cl9, zip_derived_cl5])).
% 0.58/0.79 thf(zip_derived_cl7, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 (~ (group_element @ X0)
% 0.58/0.79 | ~ (group_element @ X1)
% 0.58/0.79 | (product @ X0 @ X1 @ e_1)
% 0.58/0.79 | (product @ X0 @ X1 @ e_2))),
% 0.58/0.79 inference('cnf', [status(esa)], [product_total_function1])).
% 0.58/0.79 thf(zip_derived_cl27, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (~ (product @ X0 @ e_1 @ e_2)
% 0.58/0.79 | (product @ X0 @ e_2 @ e_1)
% 0.58/0.79 | ~ (group_element @ e_2)
% 0.58/0.79 | ~ (group_element @ X0))),
% 0.58/0.79 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl7])).
% 0.58/0.79 thf(element_2, axiom, (group_element @ e_2)).
% 0.58/0.79 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_2])).
% 0.58/0.79 thf(zip_derived_cl28, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (~ (product @ X0 @ e_1 @ e_2)
% 0.58/0.79 | (product @ X0 @ e_2 @ e_1)
% 0.58/0.79 | ~ (group_element @ X0))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl4])).
% 0.58/0.79 thf(zip_derived_cl7, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 (~ (group_element @ X0)
% 0.58/0.79 | ~ (group_element @ X1)
% 0.58/0.79 | (product @ X0 @ X1 @ e_1)
% 0.58/0.79 | (product @ X0 @ X1 @ e_2))),
% 0.58/0.79 inference('cnf', [status(esa)], [product_total_function1])).
% 0.58/0.79 thf(qg2_2, conjecture,
% 0.58/0.79 (~( ( equalish @ Y1 @ Y2 ) | ( ~( product @ Z2 @ X2 @ Y2 ) ) |
% 0.58/0.79 ( ~( product @ Z2 @ X1 @ Y1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.58/0.79 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.58/0.79 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.79 (( equalish @ Y1 @ Y2 ) | ( ~( product @ Z2 @ X2 @ Y2 ) ) |
% 0.58/0.79 ( ~( product @ Z2 @ X1 @ Y1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.58/0.79 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.58/0.79 inference('cnf.neg', [status(esa)], [qg2_2])).
% 0.58/0.79 thf(zip_derived_cl12, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/0.79 ( (equalish @ X0 @ X1)
% 0.58/0.79 | ~ (product @ X2 @ X3 @ X1)
% 0.58/0.79 | ~ (product @ X2 @ X4 @ X0)
% 0.58/0.79 | ~ (product @ X3 @ X1 @ X5)
% 0.58/0.79 | ~ (product @ X4 @ X0 @ X5))),
% 0.58/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.79 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.58/0.79 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.58/0.79 thf(zip_derived_cl22, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.79 (~ (product @ X1 @ e_1 @ X0)
% 0.58/0.79 | ~ (product @ X2 @ e_2 @ X0)
% 0.58/0.79 | ~ (product @ X3 @ X1 @ e_1)
% 0.58/0.79 | ~ (product @ X3 @ X2 @ e_2))),
% 0.58/0.79 inference('dp-resolution', [status(thm)],
% 0.58/0.79 [zip_derived_cl12, zip_derived_cl5])).
% 0.58/0.79 thf(zip_derived_cl52, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (~ (product @ X0 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ X0 @ X0 @ e_1)
% 0.58/0.79 | ~ (product @ e_1 @ e_2 @ e_2))),
% 0.58/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 0.58/0.79 thf(zip_derived_cl57, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 ( (product @ e_1 @ e_2 @ e_1)
% 0.58/0.79 | ~ (group_element @ e_2)
% 0.58/0.79 | ~ (group_element @ e_1)
% 0.58/0.79 | ~ (product @ X0 @ X0 @ e_1)
% 0.58/0.79 | ~ (product @ X0 @ e_1 @ e_2))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl52])).
% 0.58/0.79 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_2])).
% 0.58/0.79 thf(element_1, axiom, (group_element @ e_1)).
% 0.58/0.79 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_1])).
% 0.58/0.79 thf(zip_derived_cl58, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 ( (product @ e_1 @ e_2 @ e_1)
% 0.58/0.79 | ~ (product @ X0 @ X0 @ e_1)
% 0.58/0.79 | ~ (product @ X0 @ e_1 @ e_2))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl57, zip_derived_cl4, zip_derived_cl3])).
% 0.58/0.79 thf(zip_derived_cl63, plain,
% 0.58/0.79 ((~ (group_element @ e_2)
% 0.58/0.79 | ~ (product @ e_2 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ e_2 @ e_1 @ e_2)
% 0.58/0.79 | (product @ e_1 @ e_2 @ e_1))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl58])).
% 0.58/0.79 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_2])).
% 0.58/0.79 thf(zip_derived_cl64, plain,
% 0.58/0.79 ((~ (product @ e_2 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ e_2 @ e_1 @ e_2)
% 0.58/0.79 | (product @ e_1 @ e_2 @ e_1))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl4])).
% 0.58/0.79 thf(zip_derived_cl65, plain,
% 0.58/0.79 (( (product @ e_1 @ e_2 @ e_1) | ~ (product @ e_2 @ e_1 @ e_2))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl64])).
% 0.58/0.79 thf(zip_derived_cl28, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (~ (product @ X0 @ e_1 @ e_2)
% 0.58/0.79 | (product @ X0 @ e_2 @ e_1)
% 0.58/0.79 | ~ (group_element @ X0))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl4])).
% 0.58/0.79 thf(product_left_cancellation, axiom,
% 0.58/0.79 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 0.58/0.79 ( equalish @ W @ Z ))).
% 0.58/0.79 thf(zip_derived_cl10, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.79 (~ (product @ X0 @ X1 @ X2)
% 0.58/0.79 | ~ (product @ X3 @ X1 @ X2)
% 0.58/0.79 | (equalish @ X0 @ X3))),
% 0.58/0.79 inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.58/0.79 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.58/0.79 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.58/0.79 thf(zip_derived_cl18, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.58/0.79 inference('dp-resolution', [status(thm)],
% 0.58/0.79 [zip_derived_cl10, zip_derived_cl5])).
% 0.58/0.79 thf(zip_derived_cl35, plain,
% 0.58/0.79 ((~ (group_element @ e_2)
% 0.58/0.79 | ~ (product @ e_2 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ e_1 @ e_2 @ e_1))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl18])).
% 0.58/0.79 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_2])).
% 0.58/0.79 thf(zip_derived_cl37, plain,
% 0.58/0.79 ((~ (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_1))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl4])).
% 0.58/0.79 thf(zip_derived_cl66, plain, (~ (product @ e_2 @ e_1 @ e_2)),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl37])).
% 0.58/0.79 thf(zip_derived_cl68, plain,
% 0.58/0.79 (( (product @ e_2 @ e_1 @ e_1)
% 0.58/0.79 | ~ (group_element @ e_1)
% 0.58/0.79 | ~ (group_element @ e_2))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl66])).
% 0.58/0.79 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_1])).
% 0.58/0.79 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_2])).
% 0.58/0.79 thf(zip_derived_cl69, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl68, zip_derived_cl3, zip_derived_cl4])).
% 0.58/0.79 thf(zip_derived_cl18, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.58/0.79 inference('dp-resolution', [status(thm)],
% 0.58/0.79 [zip_derived_cl10, zip_derived_cl5])).
% 0.58/0.79 thf(zip_derived_cl72, plain, (~ (product @ e_1 @ e_1 @ e_1)),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl18])).
% 0.58/0.79 thf(zip_derived_cl7, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 (~ (group_element @ X0)
% 0.58/0.79 | ~ (group_element @ X1)
% 0.58/0.79 | (product @ X0 @ X1 @ e_1)
% 0.58/0.79 | (product @ X0 @ X1 @ e_2))),
% 0.58/0.79 inference('cnf', [status(esa)], [product_total_function1])).
% 0.58/0.79 thf(zip_derived_cl28, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (~ (product @ X0 @ e_1 @ e_2)
% 0.58/0.79 | (product @ X0 @ e_2 @ e_1)
% 0.58/0.79 | ~ (group_element @ X0))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl4])).
% 0.58/0.79 thf(zip_derived_cl28, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (~ (product @ X0 @ e_1 @ e_2)
% 0.58/0.79 | (product @ X0 @ e_2 @ e_1)
% 0.58/0.79 | ~ (group_element @ X0))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl4])).
% 0.58/0.79 thf(qg2_1, conjecture,
% 0.58/0.79 (~( ( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ X2 @ Y2 ) ) |
% 0.58/0.79 ( ~( product @ Z2 @ X1 @ Y1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.58/0.79 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.58/0.79 thf(zf_stmt_1, negated_conjecture,
% 0.58/0.79 (( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ X2 @ Y2 ) ) |
% 0.58/0.79 ( ~( product @ Z2 @ X1 @ Y1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.58/0.79 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.58/0.79 inference('cnf.neg', [status(esa)], [qg2_1])).
% 0.58/0.79 thf(zip_derived_cl11, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/0.79 ( (equalish @ X0 @ X1)
% 0.58/0.79 | ~ (product @ X2 @ X1 @ X3)
% 0.58/0.79 | ~ (product @ X2 @ X0 @ X4)
% 0.58/0.79 | ~ (product @ X1 @ X3 @ X5)
% 0.58/0.79 | ~ (product @ X0 @ X4 @ X5))),
% 0.58/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.79 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.58/0.79 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.58/0.79 thf(zip_derived_cl20, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.79 (~ (product @ e_1 @ X1 @ X0)
% 0.58/0.79 | ~ (product @ e_2 @ X2 @ X0)
% 0.58/0.79 | ~ (product @ X3 @ e_1 @ X1)
% 0.58/0.79 | ~ (product @ X3 @ e_2 @ X2))),
% 0.58/0.79 inference('dp-resolution', [status(thm)],
% 0.58/0.79 [zip_derived_cl11, zip_derived_cl5])).
% 0.58/0.79 thf(zip_derived_cl41, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 (~ (group_element @ e_1)
% 0.58/0.79 | ~ (product @ e_1 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ X1 @ e_2 @ X0)
% 0.58/0.79 | ~ (product @ X1 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ e_2 @ X0 @ e_1))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl20])).
% 0.58/0.79 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_1])).
% 0.58/0.79 thf(zip_derived_cl43, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 (~ (product @ e_1 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ X1 @ e_2 @ X0)
% 0.58/0.79 | ~ (product @ X1 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ e_2 @ X0 @ e_1))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl3])).
% 0.58/0.79 thf(zip_derived_cl60, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (~ (group_element @ X0)
% 0.58/0.79 | ~ (product @ X0 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ e_2 @ e_1 @ e_1)
% 0.58/0.79 | ~ (product @ X0 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ e_1 @ e_1 @ e_2))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl43])).
% 0.58/0.79 thf(zip_derived_cl62, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (~ (product @ e_1 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ e_2 @ e_1 @ e_1)
% 0.58/0.79 | ~ (product @ X0 @ e_1 @ e_2)
% 0.58/0.79 | ~ (group_element @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl60])).
% 0.58/0.79 thf(zip_derived_cl69, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl68, zip_derived_cl3, zip_derived_cl4])).
% 0.58/0.79 thf(zip_derived_cl75, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (~ (product @ e_1 @ e_1 @ e_2)
% 0.58/0.79 | ~ (product @ X0 @ e_1 @ e_2)
% 0.58/0.79 | ~ (group_element @ X0))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl69])).
% 0.58/0.79 thf(zip_derived_cl77, plain,
% 0.58/0.79 ((~ (group_element @ e_1) | ~ (product @ e_1 @ e_1 @ e_2))),
% 0.58/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl75])).
% 0.58/0.79 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_1])).
% 0.58/0.79 thf(zip_derived_cl78, plain, (~ (product @ e_1 @ e_1 @ e_2)),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl77, zip_derived_cl3])).
% 0.58/0.79 thf(zip_derived_cl81, plain,
% 0.58/0.79 (( (product @ e_1 @ e_1 @ e_1)
% 0.58/0.79 | ~ (group_element @ e_1)
% 0.58/0.79 | ~ (group_element @ e_1))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl78])).
% 0.58/0.79 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_1])).
% 0.58/0.79 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.58/0.79 inference('cnf', [status(esa)], [element_1])).
% 0.58/0.79 thf(zip_derived_cl82, plain, ( (product @ e_1 @ e_1 @ e_1)),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl81, zip_derived_cl3, zip_derived_cl3])).
% 0.58/0.79 thf(zip_derived_cl84, plain, ($false),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl82])).
% 0.58/0.79
% 0.58/0.79 % SZS output end Refutation
% 0.58/0.79
% 0.58/0.79
% 0.58/0.79 % Terminating...
% 0.64/0.87 % Runner terminated.
% 0.64/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------