%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP123-4.003 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.REw1hPBlzQ true
% Computer : n022.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 04:35:40 PM UTC 2025
% Result : Unsatisfiable 0.53s 0.80s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP123-4.003 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.REw1hPBlzQ true
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 14:07:53 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.47/0.63 % Total configuration time : 435
% 0.47/0.63 % Estimated wc time : 1092
% 0.47/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.80 % Solved by fo/fo7.sh.
% 0.53/0.80 % done 92 iterations in 0.055s
% 0.53/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.80 % SZS output start Refutation
% 0.53/0.80 thf(e_1_type, type, e_1: $i).
% 0.53/0.80 thf(product_type, type, product: $i > $i > $i > $o).
% 0.53/0.80 thf(e_2_type, type, e_2: $i).
% 0.53/0.80 thf(group_element_type, type, group_element: $i > $o).
% 0.53/0.80 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.53/0.80 thf(e_3_type, type, e_3: $i).
% 0.53/0.80 thf(product_idempotence, axiom, (product @ X @ X @ X)).
% 0.53/0.80 thf(zip_derived_cl15, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.53/0.80 inference('cnf', [status(esa)], [product_idempotence])).
% 0.53/0.80 thf(product_right_cancellation, axiom,
% 0.53/0.80 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 0.53/0.80 ( equalish @ W @ Z ))).
% 0.53/0.80 thf(zip_derived_cl13, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.80 (~ (product @ X0 @ X1 @ X2)
% 0.53/0.80 | ~ (product @ X0 @ X3 @ X2)
% 0.53/0.80 | (equalish @ X1 @ X3))),
% 0.53/0.80 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.53/0.80 thf(zip_derived_cl21, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ( (equalish @ X0 @ X1) | ~ (product @ X0 @ X1 @ X0))),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl13])).
% 0.53/0.80 thf(e_2_is_not_e_1, axiom, (~( equalish @ e_2 @ e_1 ))).
% 0.53/0.80 thf(zip_derived_cl7, plain, (~ (equalish @ e_2 @ e_1)),
% 0.53/0.80 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 0.53/0.80 thf(zip_derived_cl34, plain, (~ (product @ e_2 @ e_1 @ e_2)),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 0.53/0.80 thf(row_surjectivity, axiom,
% 0.53/0.80 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.53/0.80 ( product @ e_1 @ X @ Y ) | ( product @ e_2 @ X @ Y ) |
% 0.53/0.80 ( product @ e_3 @ X @ Y ))).
% 0.53/0.80 thf(zip_derived_cl0, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 (~ (group_element @ X0)
% 0.53/0.80 | ~ (group_element @ X1)
% 0.53/0.80 | (product @ e_1 @ X0 @ X1)
% 0.53/0.80 | (product @ e_2 @ X0 @ X1)
% 0.53/0.80 | (product @ e_3 @ X0 @ X1))),
% 0.53/0.80 inference('cnf', [status(esa)], [row_surjectivity])).
% 0.53/0.80 thf(zip_derived_cl0, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 (~ (group_element @ X0)
% 0.53/0.80 | ~ (group_element @ X1)
% 0.53/0.80 | (product @ e_1 @ X0 @ X1)
% 0.53/0.80 | (product @ e_2 @ X0 @ X1)
% 0.53/0.80 | (product @ e_3 @ X0 @ X1))),
% 0.53/0.80 inference('cnf', [status(esa)], [row_surjectivity])).
% 0.53/0.80 thf(zip_derived_cl21, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ( (equalish @ X0 @ X1) | ~ (product @ X0 @ X1 @ X0))),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl13])).
% 0.53/0.80 thf(e_3_is_not_e_1, axiom, (~( equalish @ e_3 @ e_1 ))).
% 0.53/0.80 thf(zip_derived_cl9, plain, (~ (equalish @ e_3 @ e_1)),
% 0.53/0.80 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 0.53/0.80 thf(zip_derived_cl36, plain, (~ (product @ e_3 @ e_1 @ e_3)),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl9])).
% 0.53/0.80 thf(zip_derived_cl76, plain,
% 0.53/0.80 (( (product @ e_2 @ e_1 @ e_3)
% 0.53/0.80 | (product @ e_1 @ e_1 @ e_3)
% 0.53/0.80 | ~ (group_element @ e_3)
% 0.53/0.80 | ~ (group_element @ e_1))),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl36])).
% 0.53/0.80 thf(zip_derived_cl15, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.53/0.80 inference('cnf', [status(esa)], [product_idempotence])).
% 0.53/0.80 thf(product_total_function2, axiom,
% 0.53/0.80 (( ~( product @ X @ Y @ W ) ) | ( ~( product @ X @ Y @ Z ) ) |
% 0.53/0.80 ( equalish @ W @ Z ))).
% 0.53/0.80 thf(zip_derived_cl12, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.80 (~ (product @ X0 @ X1 @ X2)
% 0.53/0.80 | ~ (product @ X0 @ X1 @ X3)
% 0.53/0.80 | (equalish @ X2 @ X3))),
% 0.53/0.80 inference('cnf', [status(esa)], [product_total_function2])).
% 0.53/0.80 thf(zip_derived_cl18, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ( (equalish @ X0 @ X1) | ~ (product @ X0 @ X0 @ X1))),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl12])).
% 0.53/0.80 thf(e_1_is_not_e_3, axiom, (~( equalish @ e_1 @ e_3 ))).
% 0.53/0.80 thf(zip_derived_cl6, plain, (~ (equalish @ e_1 @ e_3)),
% 0.53/0.80 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 0.53/0.80 thf(zip_derived_cl27, plain, (~ (product @ e_1 @ e_1 @ e_3)),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl6])).
% 0.53/0.80 thf(element_3, axiom, (group_element @ e_3)).
% 0.53/0.80 thf(zip_derived_cl4, plain, ( (group_element @ e_3)),
% 0.53/0.80 inference('cnf', [status(esa)], [element_3])).
% 0.53/0.80 thf(element_1, axiom, (group_element @ e_1)).
% 0.53/0.80 thf(zip_derived_cl2, plain, ( (group_element @ e_1)),
% 0.53/0.80 inference('cnf', [status(esa)], [element_1])).
% 0.53/0.80 thf(zip_derived_cl82, plain, ( (product @ e_2 @ e_1 @ e_3)),
% 0.53/0.80 inference('demod', [status(thm)],
% 0.53/0.80 [zip_derived_cl76, zip_derived_cl27, zip_derived_cl4,
% 0.53/0.80 zip_derived_cl2])).
% 0.53/0.80 thf(zip_derived_cl15, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.53/0.80 inference('cnf', [status(esa)], [product_idempotence])).
% 0.53/0.80 thf(qg1_1, conjecture,
% 0.53/0.80 (~( ( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.53/0.80 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.53/0.80 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.53/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.80 (( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.53/0.80 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.53/0.80 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.53/0.80 inference('cnf.neg', [status(esa)], [qg1_1])).
% 0.53/0.80 thf(zip_derived_cl16, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.53/0.80 ( (equalish @ X0 @ X1)
% 0.53/0.80 | ~ (product @ X2 @ X3 @ X1)
% 0.53/0.80 | ~ (product @ X2 @ X4 @ X0)
% 0.53/0.80 | ~ (product @ X1 @ X3 @ X5)
% 0.53/0.80 | ~ (product @ X0 @ X4 @ X5))),
% 0.53/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.80 thf(zip_derived_cl45, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.80 (~ (product @ X3 @ X2 @ X1)
% 0.53/0.80 | ~ (product @ X0 @ X0 @ X1)
% 0.53/0.80 | ~ (product @ X0 @ X2 @ X3)
% 0.53/0.80 | (equalish @ X3 @ X0))),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl16])).
% 0.53/0.80 thf(zip_derived_cl91, plain,
% 0.53/0.80 (![X0 : $i]:
% 0.53/0.80 ( (equalish @ e_2 @ X0)
% 0.53/0.80 | ~ (product @ X0 @ e_1 @ e_2)
% 0.53/0.80 | ~ (product @ X0 @ X0 @ e_3))),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl45])).
% 0.53/0.80 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 0.53/0.80 thf(zip_derived_cl8, plain, (~ (equalish @ e_2 @ e_3)),
% 0.53/0.80 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 0.53/0.80 thf(zip_derived_cl146, plain,
% 0.53/0.80 ((~ (product @ e_3 @ e_3 @ e_3) | ~ (product @ e_3 @ e_1 @ e_2))),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl8])).
% 0.53/0.80 thf(zip_derived_cl15, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.53/0.80 inference('cnf', [status(esa)], [product_idempotence])).
% 0.53/0.80 thf(zip_derived_cl148, plain, (~ (product @ e_3 @ e_1 @ e_2)),
% 0.53/0.80 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl15])).
% 0.53/0.80 thf(zip_derived_cl149, plain,
% 0.53/0.80 (( (product @ e_2 @ e_1 @ e_2)
% 0.53/0.80 | (product @ e_1 @ e_1 @ e_2)
% 0.53/0.80 | ~ (group_element @ e_2)
% 0.53/0.80 | ~ (group_element @ e_1))),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl148])).
% 0.53/0.80 thf(zip_derived_cl18, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ( (equalish @ X0 @ X1) | ~ (product @ X0 @ X0 @ X1))),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl12])).
% 0.53/0.80 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.53/0.80 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.53/0.80 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.53/0.80 thf(zip_derived_cl26, plain, (~ (product @ e_1 @ e_1 @ e_2)),
% 0.53/0.80 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl5])).
% 0.53/0.80 thf(element_2, axiom, (group_element @ e_2)).
% 0.53/0.80 thf(zip_derived_cl3, plain, ( (group_element @ e_2)),
% 0.53/0.80 inference('cnf', [status(esa)], [element_2])).
% 0.53/0.80 thf(zip_derived_cl2, plain, ( (group_element @ e_1)),
% 0.53/0.80 inference('cnf', [status(esa)], [element_1])).
% 0.53/0.80 thf(zip_derived_cl150, plain, ( (product @ e_2 @ e_1 @ e_2)),
% 0.53/0.80 inference('demod', [status(thm)],
% 0.53/0.80 [zip_derived_cl149, zip_derived_cl26, zip_derived_cl3,
% 0.53/0.80 zip_derived_cl2])).
% 0.53/0.80 thf(zip_derived_cl151, plain, ($false),
% 0.53/0.80 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl150])).
% 0.53/0.80
% 0.53/0.80 % SZS output end Refutation
% 0.53/0.80
% 0.53/0.80
% 0.53/0.80 % Terminating...
% 1.71/0.84 % Runner terminated.
% 1.71/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------