%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP131-1.002 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2aWSKdcUeI true
% Computer : n019.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 1.04s 0.77s
% Output : Refutation 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP131-1.002 : TPTP v9.2.0. Released v1.2.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2aWSKdcUeI true
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 14:26:38 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.67/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.04/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.04/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.04/0.77 % Solved by fo/fo3_bce.sh.
% 1.04/0.77 % BCE start: 10
% 1.04/0.77 % BCE eliminated: 0
% 1.04/0.77 % PE start: 10
% 1.04/0.77 logic: neq
% 1.04/0.77 % PE eliminated: -3
% 1.04/0.77 % done 36 iterations in 0.029s
% 1.04/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.04/0.77 % SZS output start Refutation
% 1.04/0.77 thf(e_1_type, type, e_1: $i).
% 1.04/0.77 thf(group_element_type, type, group_element: $i > $o).
% 1.04/0.77 thf(e_2_type, type, e_2: $i).
% 1.04/0.77 thf(product_type, type, product: $i > $i > $i > $o).
% 1.04/0.77 thf(equalish_type, type, equalish: $i > $i > $o).
% 1.04/0.77 thf(product_total_function1, axiom,
% 1.04/0.77 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 1.04/0.77 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ))).
% 1.04/0.77 thf(zip_derived_cl4, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i]:
% 1.04/0.77 (~ (group_element @ X0)
% 1.04/0.77 | ~ (group_element @ X1)
% 1.04/0.77 | (product @ X0 @ X1 @ e_1)
% 1.04/0.77 | (product @ X0 @ X1 @ e_2))),
% 1.04/0.77 inference('cnf', [status(esa)], [product_total_function1])).
% 1.04/0.77 thf(product_right_cancellation, axiom,
% 1.04/0.77 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 1.04/0.77 ( equalish @ W @ Z ))).
% 1.04/0.77 thf(zip_derived_cl6, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.04/0.77 (~ (product @ X0 @ X1 @ X2)
% 1.04/0.77 | ~ (product @ X0 @ X3 @ X2)
% 1.04/0.77 | (equalish @ X1 @ X3))),
% 1.04/0.77 inference('cnf', [status(esa)], [product_right_cancellation])).
% 1.04/0.77 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 1.04/0.77 thf(zip_derived_cl2, plain, (~ (equalish @ e_1 @ e_2)),
% 1.04/0.77 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 1.04/0.77 thf(zip_derived_cl12, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i]:
% 1.04/0.77 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.04/0.77 inference('dp-resolution', [status(thm)],
% 1.04/0.77 [zip_derived_cl6, zip_derived_cl2])).
% 1.04/0.77 thf(zip_derived_cl4, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i]:
% 1.04/0.77 (~ (group_element @ X0)
% 1.04/0.77 | ~ (group_element @ X1)
% 1.04/0.77 | (product @ X0 @ X1 @ e_1)
% 1.04/0.77 | (product @ X0 @ X1 @ e_2))),
% 1.04/0.77 inference('cnf', [status(esa)], [product_total_function1])).
% 1.04/0.77 thf(zip_derived_cl23, plain,
% 1.04/0.77 (![X0 : $i]:
% 1.04/0.77 (~ (product @ X0 @ e_1 @ e_2)
% 1.04/0.77 | (product @ X0 @ e_2 @ e_1)
% 1.04/0.77 | ~ (group_element @ e_2)
% 1.04/0.77 | ~ (group_element @ X0))),
% 1.04/0.77 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 1.04/0.77 thf(element_2, axiom, (group_element @ e_2)).
% 1.04/0.77 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 1.04/0.77 inference('cnf', [status(esa)], [element_2])).
% 1.04/0.77 thf(zip_derived_cl24, plain,
% 1.04/0.77 (![X0 : $i]:
% 1.04/0.77 (~ (product @ X0 @ e_1 @ e_2)
% 1.04/0.77 | (product @ X0 @ e_2 @ e_1)
% 1.04/0.77 | ~ (group_element @ X0))),
% 1.04/0.77 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 1.04/0.77 thf(product_left_cancellation, axiom,
% 1.04/0.77 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 1.04/0.77 ( equalish @ W @ Z ))).
% 1.04/0.77 thf(zip_derived_cl7, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.04/0.77 (~ (product @ X0 @ X1 @ X2)
% 1.04/0.77 | ~ (product @ X3 @ X1 @ X2)
% 1.04/0.77 | (equalish @ X0 @ X3))),
% 1.04/0.77 inference('cnf', [status(esa)], [product_left_cancellation])).
% 1.04/0.77 thf(zip_derived_cl2, plain, (~ (equalish @ e_1 @ e_2)),
% 1.04/0.77 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 1.04/0.77 thf(zip_derived_cl14, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i]:
% 1.04/0.77 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.04/0.77 inference('dp-resolution', [status(thm)],
% 1.04/0.77 [zip_derived_cl7, zip_derived_cl2])).
% 1.04/0.77 thf(zip_derived_cl31, plain,
% 1.04/0.77 ((~ (group_element @ e_2)
% 1.04/0.77 | ~ (product @ e_2 @ e_1 @ e_2)
% 1.04/0.77 | ~ (product @ e_1 @ e_2 @ e_1))),
% 1.04/0.77 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl14])).
% 1.04/0.77 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 1.04/0.77 inference('cnf', [status(esa)], [element_2])).
% 1.04/0.77 thf(zip_derived_cl33, plain,
% 1.04/0.77 ((~ (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_1))),
% 1.04/0.77 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 1.04/0.77 thf(zip_derived_cl44, plain,
% 1.04/0.77 (( (product @ e_2 @ e_1 @ e_1)
% 1.04/0.77 | ~ (group_element @ e_1)
% 1.04/0.77 | ~ (group_element @ e_2)
% 1.04/0.77 | ~ (product @ e_1 @ e_2 @ e_1))),
% 1.04/0.77 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl33])).
% 1.04/0.77 thf(element_1, axiom, (group_element @ e_1)).
% 1.04/0.77 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 1.04/0.77 inference('cnf', [status(esa)], [element_1])).
% 1.04/0.77 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 1.04/0.77 inference('cnf', [status(esa)], [element_2])).
% 1.04/0.77 thf(zip_derived_cl45, plain,
% 1.04/0.77 (( (product @ e_2 @ e_1 @ e_1) | ~ (product @ e_1 @ e_2 @ e_1))),
% 1.04/0.77 inference('demod', [status(thm)],
% 1.04/0.77 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl1])).
% 1.04/0.77 thf(zip_derived_cl14, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i]:
% 1.04/0.77 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.04/0.77 inference('dp-resolution', [status(thm)],
% 1.04/0.77 [zip_derived_cl7, zip_derived_cl2])).
% 1.04/0.77 thf(zip_derived_cl49, plain,
% 1.04/0.77 ((~ (product @ e_1 @ e_2 @ e_1) | ~ (product @ e_1 @ e_1 @ e_1))),
% 1.04/0.77 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl14])).
% 1.04/0.77 thf(zip_derived_cl4, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i]:
% 1.04/0.77 (~ (group_element @ X0)
% 1.04/0.77 | ~ (group_element @ X1)
% 1.04/0.77 | (product @ X0 @ X1 @ e_1)
% 1.04/0.77 | (product @ X0 @ X1 @ e_2))),
% 1.04/0.77 inference('cnf', [status(esa)], [product_total_function1])).
% 1.04/0.77 thf(zip_derived_cl24, plain,
% 1.04/0.77 (![X0 : $i]:
% 1.04/0.77 (~ (product @ X0 @ e_1 @ e_2)
% 1.04/0.77 | (product @ X0 @ e_2 @ e_1)
% 1.04/0.77 | ~ (group_element @ X0))),
% 1.04/0.77 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 1.04/0.77 thf(zip_derived_cl45, plain,
% 1.04/0.77 (( (product @ e_2 @ e_1 @ e_1) | ~ (product @ e_1 @ e_2 @ e_1))),
% 1.04/0.77 inference('demod', [status(thm)],
% 1.04/0.77 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl1])).
% 1.04/0.77 thf(zip_derived_cl24, plain,
% 1.04/0.77 (![X0 : $i]:
% 1.04/0.77 (~ (product @ X0 @ e_1 @ e_2)
% 1.04/0.77 | (product @ X0 @ e_2 @ e_1)
% 1.04/0.77 | ~ (group_element @ X0))),
% 1.04/0.77 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 1.04/0.77 thf(qg1_1, conjecture,
% 1.04/0.77 (~( ( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 1.04/0.77 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 1.04/0.77 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 1.04/0.77 thf(zf_stmt_0, negated_conjecture,
% 1.04/0.77 (( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 1.04/0.77 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 1.04/0.77 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 1.04/0.77 inference('cnf.neg', [status(esa)], [qg1_1])).
% 1.04/0.77 thf(zip_derived_cl8, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.04/0.77 ( (equalish @ X0 @ X1)
% 1.04/0.77 | ~ (product @ X2 @ X3 @ X1)
% 1.04/0.77 | ~ (product @ X2 @ X4 @ X0)
% 1.04/0.77 | ~ (product @ X1 @ X3 @ X5)
% 1.04/0.77 | ~ (product @ X0 @ X4 @ X5))),
% 1.04/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.04/0.77 thf(zip_derived_cl2, plain, (~ (equalish @ e_1 @ e_2)),
% 1.04/0.77 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 1.04/0.77 thf(zip_derived_cl16, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.04/0.77 (~ (product @ e_1 @ X1 @ X0)
% 1.04/0.77 | ~ (product @ e_2 @ X2 @ X0)
% 1.04/0.77 | ~ (product @ X3 @ X1 @ e_1)
% 1.04/0.77 | ~ (product @ X3 @ X2 @ e_2))),
% 1.04/0.77 inference('dp-resolution', [status(thm)],
% 1.04/0.77 [zip_derived_cl8, zip_derived_cl2])).
% 1.04/0.77 thf(zip_derived_cl38, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i]:
% 1.04/0.77 (~ (product @ e_1 @ X1 @ e_2)
% 1.04/0.77 | ~ (product @ e_1 @ X0 @ e_1)
% 1.04/0.77 | ~ (product @ e_2 @ X1 @ e_1))),
% 1.04/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl16])).
% 1.04/0.77 thf(zip_derived_cl41, plain,
% 1.04/0.77 (![X0 : $i]:
% 1.04/0.77 (~ (group_element @ e_1)
% 1.04/0.77 | ~ (product @ e_1 @ e_1 @ e_2)
% 1.04/0.77 | ~ (product @ e_2 @ X0 @ e_1)
% 1.04/0.77 | ~ (product @ e_1 @ X0 @ e_2))),
% 1.04/0.77 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl38])).
% 1.04/0.77 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 1.04/0.77 inference('cnf', [status(esa)], [element_1])).
% 1.04/0.77 thf(zip_derived_cl42, plain,
% 1.04/0.77 (![X0 : $i]:
% 1.04/0.77 (~ (product @ e_1 @ e_1 @ e_2)
% 1.04/0.77 | ~ (product @ e_2 @ X0 @ e_1)
% 1.04/0.77 | ~ (product @ e_1 @ X0 @ e_2))),
% 1.04/0.77 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 1.04/0.77 thf(zip_derived_cl54, plain,
% 1.04/0.77 ((~ (product @ e_1 @ e_2 @ e_1)
% 1.04/0.77 | ~ (product @ e_1 @ e_1 @ e_2)
% 1.04/0.77 | ~ (product @ e_1 @ e_1 @ e_2))),
% 1.04/0.77 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl42])).
% 1.04/0.77 thf(zip_derived_cl56, plain,
% 1.04/0.77 ((~ (product @ e_1 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_1))),
% 1.04/0.77 inference('simplify', [status(thm)], [zip_derived_cl54])).
% 1.04/0.77 thf(zip_derived_cl60, plain,
% 1.04/0.77 ((~ (group_element @ e_1)
% 1.04/0.77 | ~ (product @ e_1 @ e_1 @ e_2)
% 1.04/0.77 | ~ (product @ e_1 @ e_1 @ e_2))),
% 1.04/0.77 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl56])).
% 1.04/0.77 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 1.04/0.77 inference('cnf', [status(esa)], [element_1])).
% 1.04/0.77 thf(zip_derived_cl61, plain,
% 1.04/0.77 ((~ (product @ e_1 @ e_1 @ e_2) | ~ (product @ e_1 @ e_1 @ e_2))),
% 1.04/0.77 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.04/0.77 thf(zip_derived_cl62, plain, (~ (product @ e_1 @ e_1 @ e_2)),
% 1.04/0.77 inference('simplify', [status(thm)], [zip_derived_cl61])).
% 1.04/0.77 thf(zip_derived_cl66, plain,
% 1.04/0.77 (( (product @ e_1 @ e_1 @ e_1)
% 1.04/0.77 | ~ (group_element @ e_1)
% 1.04/0.77 | ~ (group_element @ e_1))),
% 1.04/0.77 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl62])).
% 1.04/0.77 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 1.04/0.77 inference('cnf', [status(esa)], [element_1])).
% 1.04/0.77 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 1.04/0.77 inference('cnf', [status(esa)], [element_1])).
% 1.04/0.77 thf(zip_derived_cl67, plain, ( (product @ e_1 @ e_1 @ e_1)),
% 1.04/0.77 inference('demod', [status(thm)],
% 1.04/0.77 [zip_derived_cl66, zip_derived_cl0, zip_derived_cl0])).
% 1.04/0.77 thf(zip_derived_cl71, plain, (~ (product @ e_1 @ e_2 @ e_1)),
% 1.04/0.77 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl67])).
% 1.04/0.77 thf(zip_derived_cl4, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i]:
% 1.04/0.77 (~ (group_element @ X0)
% 1.04/0.77 | ~ (group_element @ X1)
% 1.04/0.77 | (product @ X0 @ X1 @ e_1)
% 1.04/0.77 | (product @ X0 @ X1 @ e_2))),
% 1.04/0.77 inference('cnf', [status(esa)], [product_total_function1])).
% 1.04/0.77 thf(zip_derived_cl14, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i]:
% 1.04/0.77 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.04/0.77 inference('dp-resolution', [status(thm)],
% 1.04/0.77 [zip_derived_cl7, zip_derived_cl2])).
% 1.04/0.77 thf(zip_derived_cl4, plain,
% 1.04/0.77 (![X0 : $i, X1 : $i]:
% 1.04/0.77 (~ (group_element @ X0)
% 1.04/0.77 | ~ (group_element @ X1)
% 1.04/0.77 | (product @ X0 @ X1 @ e_1)
% 1.13/0.77 | (product @ X0 @ X1 @ e_2))),
% 1.13/0.77 inference('cnf', [status(esa)], [product_total_function1])).
% 1.13/0.77 thf(zip_derived_cl24, plain,
% 1.13/0.77 (![X0 : $i]:
% 1.13/0.77 (~ (product @ X0 @ e_1 @ e_2)
% 1.13/0.77 | (product @ X0 @ e_2 @ e_1)
% 1.13/0.77 | ~ (group_element @ X0))),
% 1.13/0.77 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 1.13/0.77 thf(zip_derived_cl67, plain, ( (product @ e_1 @ e_1 @ e_1)),
% 1.13/0.77 inference('demod', [status(thm)],
% 1.13/0.77 [zip_derived_cl66, zip_derived_cl0, zip_derived_cl0])).
% 1.13/0.77 thf(zip_derived_cl38, plain,
% 1.13/0.77 (![X0 : $i, X1 : $i]:
% 1.13/0.77 (~ (product @ e_1 @ X1 @ e_2)
% 1.13/0.77 | ~ (product @ e_1 @ X0 @ e_1)
% 1.13/0.77 | ~ (product @ e_2 @ X1 @ e_1))),
% 1.13/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl16])).
% 1.13/0.77 thf(zip_derived_cl70, plain,
% 1.13/0.77 (![X0 : $i]:
% 1.13/0.77 (~ (product @ e_2 @ X0 @ e_1) | ~ (product @ e_1 @ X0 @ e_2))),
% 1.13/0.77 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl38])).
% 1.13/0.77 thf(zip_derived_cl81, plain,
% 1.13/0.77 ((~ (group_element @ e_2)
% 1.13/0.77 | ~ (product @ e_2 @ e_1 @ e_2)
% 1.13/0.77 | ~ (product @ e_1 @ e_2 @ e_2))),
% 1.13/0.77 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl70])).
% 1.13/0.77 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 1.13/0.77 inference('cnf', [status(esa)], [element_2])).
% 1.13/0.77 thf(zip_derived_cl82, plain,
% 1.13/0.77 ((~ (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_2))),
% 1.13/0.77 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl1])).
% 1.13/0.77 thf(zip_derived_cl87, plain,
% 1.13/0.77 (( (product @ e_2 @ e_1 @ e_1)
% 1.13/0.77 | ~ (group_element @ e_1)
% 1.13/0.77 | ~ (group_element @ e_2)
% 1.13/0.77 | ~ (product @ e_1 @ e_2 @ e_2))),
% 1.13/0.77 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl82])).
% 1.13/0.77 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 1.13/0.77 inference('cnf', [status(esa)], [element_1])).
% 1.13/0.77 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 1.13/0.77 inference('cnf', [status(esa)], [element_2])).
% 1.13/0.77 thf(zip_derived_cl88, plain,
% 1.13/0.77 (( (product @ e_2 @ e_1 @ e_1) | ~ (product @ e_1 @ e_2 @ e_2))),
% 1.13/0.77 inference('demod', [status(thm)],
% 1.13/0.77 [zip_derived_cl87, zip_derived_cl0, zip_derived_cl1])).
% 1.13/0.77 thf(zip_derived_cl93, plain,
% 1.13/0.77 ((~ (product @ e_1 @ e_1 @ e_1) | ~ (product @ e_1 @ e_2 @ e_2))),
% 1.13/0.77 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl88])).
% 1.13/0.77 thf(zip_derived_cl67, plain, ( (product @ e_1 @ e_1 @ e_1)),
% 1.13/0.77 inference('demod', [status(thm)],
% 1.13/0.77 [zip_derived_cl66, zip_derived_cl0, zip_derived_cl0])).
% 1.13/0.77 thf(zip_derived_cl95, plain, (~ (product @ e_1 @ e_2 @ e_2)),
% 1.13/0.77 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl67])).
% 1.13/0.77 thf(zip_derived_cl100, plain,
% 1.13/0.77 (( (product @ e_1 @ e_2 @ e_1)
% 1.13/0.77 | ~ (group_element @ e_2)
% 1.13/0.77 | ~ (group_element @ e_1))),
% 1.13/0.77 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl95])).
% 1.13/0.77 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 1.13/0.77 inference('cnf', [status(esa)], [element_2])).
% 1.13/0.77 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 1.13/0.77 inference('cnf', [status(esa)], [element_1])).
% 1.13/0.77 thf(zip_derived_cl101, plain, ( (product @ e_1 @ e_2 @ e_1)),
% 1.13/0.77 inference('demod', [status(thm)],
% 1.13/0.77 [zip_derived_cl100, zip_derived_cl1, zip_derived_cl0])).
% 1.13/0.77 thf(zip_derived_cl103, plain, ($false),
% 1.13/0.77 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl101])).
% 1.13/0.77
% 1.13/0.77 % SZS output end Refutation
% 1.13/0.77
% 1.13/0.77
% 1.13/0.77 % Terminating...
% 1.13/0.85 % Runner terminated.
% 1.57/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------