%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP135-2.002 : 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.O53InpA9Tl true
% Computer : n024.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 04:35:48 PM UTC 2025
% Result : Unsatisfiable 0.73s 0.72s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP135-2.002 : TPTP v9.2.0. Released v1.2.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O53InpA9Tl true
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 14:15:53 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.57/0.61 % Total configuration time : 435
% 0.57/0.61 % Estimated wc time : 1092
% 0.57/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.73/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.73/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.73/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.73/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.73/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.73/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.73/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.73/0.72 % Solved by fo/fo3_bce.sh.
% 0.73/0.72 % BCE start: 12
% 0.73/0.72 % BCE eliminated: 0
% 0.73/0.72 % PE start: 12
% 0.73/0.72 logic: neq
% 0.73/0.72 % PE eliminated: 2
% 0.73/0.72 % done 22 iterations in 0.018s
% 0.73/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.73/0.72 % SZS output start Refutation
% 0.73/0.72 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.73/0.72 thf(product_type, type, product: $i > $i > $i > $o).
% 0.73/0.72 thf(e_2_type, type, e_2: $i).
% 0.73/0.72 thf(e_1_type, type, e_1: $i).
% 0.73/0.72 thf(group_element_type, type, group_element: $i > $o).
% 0.73/0.72 thf(product_total_function1, axiom,
% 0.73/0.72 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.73/0.72 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ))).
% 0.73/0.72 thf(zip_derived_cl7, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i]:
% 0.73/0.72 (~ (group_element @ X0)
% 0.73/0.72 | ~ (group_element @ X1)
% 0.73/0.72 | (product @ X0 @ X1 @ e_1)
% 0.73/0.72 | (product @ X0 @ X1 @ e_2))),
% 0.73/0.72 inference('cnf', [status(esa)], [product_total_function1])).
% 0.73/0.72 thf(product_right_cancellation, axiom,
% 0.73/0.72 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 0.73/0.72 ( equalish @ W @ Z ))).
% 0.73/0.72 thf(zip_derived_cl9, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.73/0.72 (~ (product @ X0 @ X1 @ X2)
% 0.73/0.72 | ~ (product @ X0 @ X3 @ X2)
% 0.73/0.72 | (equalish @ X1 @ X3))),
% 0.73/0.72 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.73/0.72 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.73/0.72 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.73/0.72 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.73/0.72 thf(zip_derived_cl15, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i]:
% 0.73/0.72 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.73/0.72 inference('dp-resolution', [status(thm)],
% 0.73/0.72 [zip_derived_cl9, zip_derived_cl5])).
% 0.73/0.72 thf(zip_derived_cl7, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i]:
% 0.73/0.72 (~ (group_element @ X0)
% 0.73/0.72 | ~ (group_element @ X1)
% 0.73/0.72 | (product @ X0 @ X1 @ e_1)
% 0.73/0.72 | (product @ X0 @ X1 @ e_2))),
% 0.73/0.72 inference('cnf', [status(esa)], [product_total_function1])).
% 0.73/0.72 thf(zip_derived_cl22, plain,
% 0.73/0.72 (![X0 : $i]:
% 0.73/0.72 (~ (product @ X0 @ e_1 @ e_2)
% 0.73/0.72 | (product @ X0 @ e_2 @ e_1)
% 0.73/0.72 | ~ (group_element @ e_2)
% 0.73/0.72 | ~ (group_element @ X0))),
% 0.73/0.72 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl7])).
% 0.73/0.72 thf(element_2, axiom, (group_element @ e_2)).
% 0.73/0.72 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.73/0.72 inference('cnf', [status(esa)], [element_2])).
% 0.73/0.72 thf(zip_derived_cl23, plain,
% 0.73/0.72 (![X0 : $i]:
% 0.73/0.72 (~ (product @ X0 @ e_1 @ e_2)
% 0.73/0.72 | (product @ X0 @ e_2 @ e_1)
% 0.73/0.72 | ~ (group_element @ X0))),
% 0.73/0.72 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl4])).
% 0.73/0.72 thf(qg3, conjecture,
% 0.73/0.72 (~( ( product @ Z2 @ Y @ X ) | ( ~( product @ Z1 @ Y @ Z2 ) ) |
% 0.73/0.72 ( ~( product @ Y @ X @ Z1 ) ) ))).
% 0.73/0.72 thf(zf_stmt_0, negated_conjecture,
% 0.73/0.72 (( product @ Z2 @ Y @ X ) | ( ~( product @ Z1 @ Y @ Z2 ) ) |
% 0.73/0.72 ( ~( product @ Y @ X @ Z1 ) )),
% 0.73/0.72 inference('cnf.neg', [status(esa)], [qg3])).
% 0.73/0.72 thf(zip_derived_cl11, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.73/0.72 ( (product @ X0 @ X1 @ X2)
% 0.73/0.72 | ~ (product @ X3 @ X1 @ X0)
% 0.73/0.72 | ~ (product @ X1 @ X2 @ X3))),
% 0.73/0.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.73/0.72 thf(zip_derived_cl36, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i]:
% 0.73/0.72 (~ (group_element @ X0)
% 0.73/0.72 | ~ (product @ X0 @ e_1 @ e_2)
% 0.73/0.72 | ~ (product @ e_2 @ X1 @ X0)
% 0.73/0.72 | (product @ e_1 @ e_2 @ X1))),
% 0.73/0.72 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl11])).
% 0.73/0.72 thf(zip_derived_cl40, plain,
% 0.73/0.72 (( (product @ e_1 @ e_2 @ e_1)
% 0.73/0.72 | ~ (product @ e_2 @ e_1 @ e_2)
% 0.73/0.72 | ~ (group_element @ e_2))),
% 0.73/0.72 inference('eq_fact', [status(thm)], [zip_derived_cl36])).
% 0.73/0.72 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.73/0.72 inference('cnf', [status(esa)], [element_2])).
% 0.73/0.72 thf(zip_derived_cl41, plain,
% 0.73/0.72 (( (product @ e_1 @ e_2 @ e_1) | ~ (product @ e_2 @ e_1 @ e_2))),
% 0.73/0.72 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl4])).
% 0.73/0.72 thf(zip_derived_cl23, plain,
% 0.73/0.72 (![X0 : $i]:
% 0.73/0.72 (~ (product @ X0 @ e_1 @ e_2)
% 0.73/0.72 | (product @ X0 @ e_2 @ e_1)
% 0.73/0.72 | ~ (group_element @ X0))),
% 0.73/0.72 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl4])).
% 0.73/0.72 thf(product_left_cancellation, axiom,
% 0.73/0.72 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 0.73/0.72 ( equalish @ W @ Z ))).
% 0.73/0.72 thf(zip_derived_cl10, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.73/0.72 (~ (product @ X0 @ X1 @ X2)
% 0.73/0.72 | ~ (product @ X3 @ X1 @ X2)
% 0.73/0.72 | (equalish @ X0 @ X3))),
% 0.73/0.72 inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.73/0.72 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.73/0.72 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.73/0.72 thf(zip_derived_cl17, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i]:
% 0.73/0.72 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.73/0.72 inference('dp-resolution', [status(thm)],
% 0.73/0.72 [zip_derived_cl10, zip_derived_cl5])).
% 0.73/0.72 thf(zip_derived_cl30, plain,
% 0.73/0.72 ((~ (group_element @ e_2)
% 0.73/0.72 | ~ (product @ e_2 @ e_1 @ e_2)
% 0.73/0.72 | ~ (product @ e_1 @ e_2 @ e_1))),
% 0.73/0.72 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl17])).
% 0.73/0.72 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.73/0.72 inference('cnf', [status(esa)], [element_2])).
% 0.73/0.72 thf(zip_derived_cl32, plain,
% 0.73/0.72 ((~ (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_1))),
% 0.73/0.72 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl4])).
% 0.73/0.72 thf(zip_derived_cl48, plain, (~ (product @ e_2 @ e_1 @ e_2)),
% 0.73/0.72 inference('clc', [status(thm)], [zip_derived_cl41, zip_derived_cl32])).
% 0.73/0.72 thf(zip_derived_cl50, plain,
% 0.73/0.72 (( (product @ e_2 @ e_1 @ e_1)
% 0.73/0.72 | ~ (group_element @ e_1)
% 0.73/0.72 | ~ (group_element @ e_2))),
% 0.73/0.72 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl48])).
% 0.73/0.72 thf(element_1, axiom, (group_element @ e_1)).
% 0.73/0.72 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.73/0.72 inference('cnf', [status(esa)], [element_1])).
% 0.73/0.72 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.73/0.72 inference('cnf', [status(esa)], [element_2])).
% 0.73/0.72 thf(zip_derived_cl51, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 0.73/0.72 inference('demod', [status(thm)],
% 0.73/0.72 [zip_derived_cl50, zip_derived_cl3, zip_derived_cl4])).
% 0.73/0.72 thf(zip_derived_cl17, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i]:
% 0.73/0.72 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.73/0.72 inference('dp-resolution', [status(thm)],
% 0.73/0.72 [zip_derived_cl10, zip_derived_cl5])).
% 0.73/0.72 thf(zip_derived_cl54, plain, (~ (product @ e_1 @ e_1 @ e_1)),
% 0.73/0.72 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl17])).
% 0.73/0.72 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.73/0.72 inference('cnf', [status(esa)], [element_1])).
% 0.73/0.72 thf(zip_derived_cl7, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i]:
% 0.73/0.72 (~ (group_element @ X0)
% 0.73/0.72 | ~ (group_element @ X1)
% 0.73/0.72 | (product @ X0 @ X1 @ e_1)
% 0.73/0.72 | (product @ X0 @ X1 @ e_2))),
% 0.73/0.72 inference('cnf', [status(esa)], [product_total_function1])).
% 0.73/0.72 thf(zip_derived_cl51, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 0.73/0.72 inference('demod', [status(thm)],
% 0.73/0.72 [zip_derived_cl50, zip_derived_cl3, zip_derived_cl4])).
% 0.73/0.72 thf(zip_derived_cl11, plain,
% 0.73/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.73/0.72 ( (product @ X0 @ X1 @ X2)
% 0.73/0.72 | ~ (product @ X3 @ X1 @ X0)
% 0.73/0.72 | ~ (product @ X1 @ X2 @ X3))),
% 0.73/0.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.73/0.72 thf(zip_derived_cl53, plain,
% 0.73/0.72 (![X0 : $i]: (~ (product @ e_1 @ X0 @ e_2) | (product @ e_1 @ e_1 @ X0))),
% 0.73/0.72 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl11])).
% 0.73/0.72 thf(zip_derived_cl56, plain,
% 0.73/0.72 (![X0 : $i]:
% 0.73/0.72 ( (product @ e_1 @ X0 @ e_1)
% 0.73/0.72 | ~ (group_element @ X0)
% 0.73/0.72 | ~ (group_element @ e_1)
% 0.73/0.72 | (product @ e_1 @ e_1 @ X0))),
% 0.73/0.72 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl53])).
% 0.73/0.72 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.73/0.72 inference('cnf', [status(esa)], [element_1])).
% 0.73/0.72 thf(zip_derived_cl57, plain,
% 0.73/0.72 (![X0 : $i]:
% 0.73/0.72 ( (product @ e_1 @ X0 @ e_1)
% 0.73/0.72 | ~ (group_element @ X0)
% 0.73/0.72 | (product @ e_1 @ e_1 @ X0))),
% 0.73/0.72 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl3])).
% 0.73/0.72 thf(zip_derived_cl58, plain,
% 0.73/0.72 (( (product @ e_1 @ e_1 @ e_1) | (product @ e_1 @ e_1 @ e_1))),
% 0.73/0.72 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl57])).
% 0.73/0.72 thf(zip_derived_cl60, plain, ( (product @ e_1 @ e_1 @ e_1)),
% 0.73/0.72 inference('simplify', [status(thm)], [zip_derived_cl58])).
% 0.73/0.72 thf(zip_derived_cl61, plain, ($false),
% 0.73/0.72 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl60])).
% 0.73/0.72
% 0.73/0.72 % SZS output end Refutation
% 0.73/0.72
% 0.73/0.72
% 0.73/0.72 % Terminating...
% 1.54/0.80 % Runner terminated.
% 1.54/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------