%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP123-2.003 : 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.Res6V5wYWs true
% Computer : n003.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 0.47s 0.90s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GRP123-2.003 : TPTP v9.2.0. Released v1.2.0.
% 0.08/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Res6V5wYWs true
% 0.09/0.31 % Computer : n003.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Wed Oct 1 14:11:53 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.43/0.60 % Total configuration time : 435
% 0.43/0.60 % Estimated wc time : 1092
% 0.43/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.88 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.89 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.90 % Solved by fo/fo3_bce.sh.
% 0.47/0.90 % BCE start: 22
% 0.47/0.90 % BCE eliminated: 0
% 0.47/0.90 % PE start: 22
% 0.47/0.90 logic: neq
% 0.47/0.90 % PE eliminated: -14
% 0.47/0.90 % done 88 iterations in 0.082s
% 0.47/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.90 % SZS output start Refutation
% 0.47/0.90 thf(product_type, type, product: $i > $i > $i > $o).
% 0.47/0.90 thf(e_3_type, type, e_3: $i).
% 0.47/0.90 thf(e_2_type, type, e_2: $i).
% 0.47/0.90 thf(e_1_type, type, e_1: $i).
% 0.47/0.90 thf(group_element_type, type, group_element: $i > $o).
% 0.47/0.90 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.47/0.90 thf(product_left_cancellation, axiom,
% 0.47/0.90 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 0.47/0.90 ( equalish @ W @ Z ))).
% 0.47/0.90 thf(zip_derived_cl18, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.90 (~ (product @ X0 @ X1 @ X2)
% 0.47/0.90 | ~ (product @ X3 @ X1 @ X2)
% 0.47/0.90 | (equalish @ X0 @ X3))),
% 0.47/0.90 inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.47/0.90 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.47/0.90 thf(zip_derived_cl9, plain, (~ (equalish @ e_1 @ e_2)),
% 0.47/0.90 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.47/0.90 thf(zip_derived_cl37, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i]:
% 0.47/0.90 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.47/0.90 inference('dp-resolution', [status(thm)],
% 0.47/0.90 [zip_derived_cl18, zip_derived_cl9])).
% 0.47/0.90 thf(product_total_function1, axiom,
% 0.47/0.90 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.47/0.90 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ) |
% 0.47/0.90 ( product @ X @ Y @ e_3 ))).
% 0.47/0.90 thf(zip_derived_cl15, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i]:
% 0.47/0.90 (~ (group_element @ X0)
% 0.47/0.90 | ~ (group_element @ X1)
% 0.47/0.90 | (product @ X0 @ X1 @ e_1)
% 0.47/0.90 | (product @ X0 @ X1 @ e_2)
% 0.47/0.90 | (product @ X0 @ X1 @ e_3))),
% 0.47/0.90 inference('cnf', [status(esa)], [product_total_function1])).
% 0.47/0.90 thf(zip_derived_cl18, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.90 (~ (product @ X0 @ X1 @ X2)
% 0.47/0.90 | ~ (product @ X3 @ X1 @ X2)
% 0.47/0.90 | (equalish @ X0 @ X3))),
% 0.47/0.90 inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.47/0.90 thf(e_1_is_not_e_3, axiom, (~( equalish @ e_1 @ e_3 ))).
% 0.47/0.90 thf(zip_derived_cl10, plain, (~ (equalish @ e_1 @ e_3)),
% 0.47/0.90 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 0.47/0.90 thf(zip_derived_cl38, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i]:
% 0.47/0.90 (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.47/0.90 inference('dp-resolution', [status(thm)],
% 0.47/0.90 [zip_derived_cl18, zip_derived_cl10])).
% 0.47/0.90 thf(product_idempotence, axiom, (product @ X @ X @ X)).
% 0.47/0.90 thf(zip_derived_cl19, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.47/0.90 inference('cnf', [status(esa)], [product_idempotence])).
% 0.47/0.90 thf(qg1_1, conjecture,
% 0.47/0.90 (~( ( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.47/0.90 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.47/0.90 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.47/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.47/0.90 (( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.47/0.90 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.47/0.90 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.47/0.90 inference('cnf.neg', [status(esa)], [qg1_1])).
% 0.47/0.90 thf(zip_derived_cl20, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.47/0.90 ( (equalish @ X0 @ X1)
% 0.47/0.90 | ~ (product @ X2 @ X3 @ X1)
% 0.47/0.90 | ~ (product @ X2 @ X4 @ X0)
% 0.47/0.90 | ~ (product @ X1 @ X3 @ X5)
% 0.47/0.90 | ~ (product @ X0 @ X4 @ X5))),
% 0.47/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.90 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 0.47/0.90 thf(zip_derived_cl12, plain, (~ (equalish @ e_2 @ e_3)),
% 0.47/0.90 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 0.47/0.90 thf(zip_derived_cl46, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.90 (~ (product @ e_2 @ X1 @ X0)
% 0.47/0.90 | ~ (product @ e_3 @ X2 @ X0)
% 0.47/0.90 | ~ (product @ X3 @ X1 @ e_2)
% 0.47/0.90 | ~ (product @ X3 @ X2 @ e_3))),
% 0.47/0.90 inference('dp-resolution', [status(thm)],
% 0.47/0.90 [zip_derived_cl20, zip_derived_cl12])).
% 0.47/0.90 thf(zip_derived_cl167, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i]:
% 0.47/0.90 (~ (product @ e_2 @ X1 @ e_3)
% 0.47/0.90 | ~ (product @ e_2 @ X0 @ e_2)
% 0.47/0.90 | ~ (product @ e_3 @ X1 @ e_2))),
% 0.47/0.90 inference('eq_fact', [status(thm)], [zip_derived_cl46])).
% 0.47/0.90 thf(zip_derived_cl186, plain,
% 0.47/0.90 (![X0 : $i]:
% 0.47/0.90 (~ (product @ e_3 @ X0 @ e_2) | ~ (product @ e_2 @ X0 @ e_3))),
% 0.47/0.90 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl167])).
% 0.47/0.90 thf(zip_derived_cl15, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i]:
% 0.47/0.90 (~ (group_element @ X0)
% 0.47/0.90 | ~ (group_element @ X1)
% 0.47/0.90 | (product @ X0 @ X1 @ e_1)
% 0.47/0.90 | (product @ X0 @ X1 @ e_2)
% 0.47/0.90 | (product @ X0 @ X1 @ e_3))),
% 0.47/0.90 inference('cnf', [status(esa)], [product_total_function1])).
% 0.47/0.90 thf(product_right_cancellation, axiom,
% 0.47/0.90 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 0.47/0.90 ( equalish @ W @ Z ))).
% 0.47/0.90 thf(zip_derived_cl17, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.90 (~ (product @ X0 @ X1 @ X2)
% 0.47/0.90 | ~ (product @ X0 @ X3 @ X2)
% 0.47/0.90 | (equalish @ X1 @ X3))),
% 0.47/0.90 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.47/0.90 thf(zip_derived_cl10, plain, (~ (equalish @ e_1 @ e_3)),
% 0.47/0.90 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 0.47/0.90 thf(zip_derived_cl32, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i]:
% 0.47/0.90 (~ (product @ X1 @ e_3 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.47/0.90 inference('dp-resolution', [status(thm)],
% 0.47/0.90 [zip_derived_cl17, zip_derived_cl10])).
% 0.47/0.90 thf(zip_derived_cl19, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.47/0.90 inference('cnf', [status(esa)], [product_idempotence])).
% 0.47/0.90 thf(zip_derived_cl79, plain, (~ (product @ e_3 @ e_1 @ e_3)),
% 0.47/0.90 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl19])).
% 0.47/0.90 thf(zip_derived_cl127, plain,
% 0.47/0.90 (( (product @ e_3 @ e_1 @ e_2)
% 0.47/0.90 | (product @ e_3 @ e_1 @ e_1)
% 0.47/0.90 | ~ (group_element @ e_1)
% 0.47/0.90 | ~ (group_element @ e_3))),
% 0.47/0.90 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl79])).
% 0.47/0.90 thf(element_1, axiom, (group_element @ e_1)).
% 0.47/0.90 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 0.47/0.90 inference('cnf', [status(esa)], [element_1])).
% 0.47/0.90 thf(element_3, axiom, (group_element @ e_3)).
% 0.47/0.90 thf(zip_derived_cl8, plain, ( (group_element @ e_3)),
% 0.47/0.90 inference('cnf', [status(esa)], [element_3])).
% 0.47/0.90 thf(zip_derived_cl128, plain,
% 0.47/0.90 (( (product @ e_3 @ e_1 @ e_2) | (product @ e_3 @ e_1 @ e_1))),
% 0.47/0.90 inference('demod', [status(thm)],
% 0.47/0.90 [zip_derived_cl127, zip_derived_cl6, zip_derived_cl8])).
% 0.47/0.90 thf(zip_derived_cl190, plain,
% 0.47/0.90 ((~ (product @ e_2 @ e_1 @ e_3) | (product @ e_3 @ e_1 @ e_1))),
% 0.47/0.90 inference('sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl128])).
% 0.47/0.90 thf(zip_derived_cl199, plain,
% 0.47/0.90 ((~ (product @ e_1 @ e_1 @ e_1) | ~ (product @ e_2 @ e_1 @ e_3))),
% 0.47/0.90 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl190])).
% 0.47/0.90 thf(zip_derived_cl19, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.47/0.90 inference('cnf', [status(esa)], [product_idempotence])).
% 0.47/0.90 thf(zip_derived_cl202, plain, (~ (product @ e_2 @ e_1 @ e_3)),
% 0.47/0.90 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl19])).
% 0.47/0.90 thf(zip_derived_cl207, plain,
% 0.47/0.90 (( (product @ e_2 @ e_1 @ e_2)
% 0.47/0.90 | (product @ e_2 @ e_1 @ e_1)
% 0.47/0.90 | ~ (group_element @ e_1)
% 0.47/0.90 | ~ (group_element @ e_2))),
% 0.47/0.90 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl202])).
% 0.47/0.90 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 0.47/0.90 inference('cnf', [status(esa)], [element_1])).
% 0.47/0.90 thf(element_2, axiom, (group_element @ e_2)).
% 0.47/0.90 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 0.47/0.90 inference('cnf', [status(esa)], [element_2])).
% 0.47/0.90 thf(zip_derived_cl208, plain,
% 0.47/0.90 (( (product @ e_2 @ e_1 @ e_2) | (product @ e_2 @ e_1 @ e_1))),
% 0.47/0.90 inference('demod', [status(thm)],
% 0.47/0.90 [zip_derived_cl207, zip_derived_cl6, zip_derived_cl7])).
% 0.47/0.90 thf(zip_derived_cl17, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.90 (~ (product @ X0 @ X1 @ X2)
% 0.47/0.90 | ~ (product @ X0 @ X3 @ X2)
% 0.47/0.90 | (equalish @ X1 @ X3))),
% 0.47/0.90 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.47/0.90 thf(zip_derived_cl9, plain, (~ (equalish @ e_1 @ e_2)),
% 0.47/0.90 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.47/0.90 thf(zip_derived_cl31, plain,
% 0.47/0.90 (![X0 : $i, X1 : $i]:
% 0.47/0.90 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.47/0.90 inference('dp-resolution', [status(thm)],
% 0.47/0.90 [zip_derived_cl17, zip_derived_cl9])).
% 0.47/0.90 thf(zip_derived_cl19, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.47/0.90 inference('cnf', [status(esa)], [product_idempotence])).
% 0.47/0.90 thf(zip_derived_cl69, plain, (~ (product @ e_2 @ e_1 @ e_2)),
% 0.47/0.90 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl19])).
% 0.47/0.90 thf(zip_derived_cl269, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 0.47/0.90 inference('clc', [status(thm)], [zip_derived_cl208, zip_derived_cl69])).
% 0.47/0.90 thf(zip_derived_cl275, plain, (~ (product @ e_1 @ e_1 @ e_1)),
% 0.47/0.90 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl269])).
% 0.47/0.90 thf(zip_derived_cl19, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.47/0.90 inference('cnf', [status(esa)], [product_idempotence])).
% 0.47/0.90 thf(zip_derived_cl277, plain, ($false),
% 0.47/0.90 inference('demod', [status(thm)], [zip_derived_cl275, zip_derived_cl19])).
% 0.47/0.90
% 0.47/0.90 % SZS output end Refutation
% 0.47/0.90
% 0.47/0.90
% 0.47/0.90 % Terminating...
% 1.63/1.03 % Runner terminated.
% 1.63/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------