%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP123-3.003 : 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.coWtT9M3np true
% Computer : n028.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 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP123-3.003 : TPTP v9.2.0. Released v1.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.coWtT9M3np true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:10:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.82 % Solved by fo/fo3_bce.sh.
% 0.60/0.82 % BCE start: 32
% 0.60/0.82 % BCE eliminated: 0
% 0.60/0.82 % PE start: 32
% 0.60/0.82 logic: neq
% 0.60/0.82 % PE eliminated: 0
% 0.60/0.82 % done 96 iterations in 0.054s
% 0.60/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.82 % SZS output start Refutation
% 0.60/0.82 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.60/0.82 thf(group_element_type, type, group_element: $i > $o).
% 0.60/0.82 thf(product_type, type, product: $i > $i > $i > $o).
% 0.60/0.82 thf(e_3_type, type, e_3: $i).
% 0.60/0.82 thf(e_2_type, type, e_2: $i).
% 0.60/0.82 thf(e_1_type, type, e_1: $i).
% 0.60/0.82 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.60/0.82 thf(zip_derived_cl19, plain, (~ (equalish @ e_1 @ e_2)),
% 0.60/0.82 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.60/0.82 thf(product_idempotence, axiom, (product @ X @ X @ X)).
% 0.60/0.82 thf(zip_derived_cl29, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.60/0.82 inference('cnf', [status(esa)], [product_idempotence])).
% 0.60/0.82 thf(product_left_cancellation, axiom,
% 0.60/0.82 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 0.60/0.82 ( equalish @ W @ Z ))).
% 0.60/0.82 thf(zip_derived_cl28, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.82 (~ (product @ X0 @ X1 @ X2)
% 0.60/0.82 | ~ (product @ X3 @ X1 @ X2)
% 0.60/0.82 | (equalish @ X0 @ X3))),
% 0.60/0.82 inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.60/0.82 thf(zip_derived_cl91, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 ( (equalish @ X0 @ X1) | ~ (product @ X1 @ X0 @ X0))),
% 0.60/0.82 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl28])).
% 0.60/0.82 thf(zip_derived_cl29, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.60/0.82 inference('cnf', [status(esa)], [product_idempotence])).
% 0.60/0.82 thf(product_total_function1, axiom,
% 0.60/0.82 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.60/0.82 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ) |
% 0.60/0.82 ( product @ X @ Y @ e_3 ))).
% 0.60/0.82 thf(zip_derived_cl25, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 (~ (group_element @ X0)
% 0.60/0.82 | ~ (group_element @ X1)
% 0.60/0.82 | (product @ X0 @ X1 @ e_1)
% 0.60/0.82 | (product @ X0 @ X1 @ e_2)
% 0.60/0.82 | (product @ X0 @ X1 @ e_3))),
% 0.60/0.82 inference('cnf', [status(esa)], [product_total_function1])).
% 0.60/0.82 thf(zip_derived_cl91, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 ( (equalish @ X0 @ X1) | ~ (product @ X1 @ X0 @ X0))),
% 0.60/0.82 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl28])).
% 0.60/0.82 thf(zip_derived_cl25, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 (~ (group_element @ X0)
% 0.60/0.82 | ~ (group_element @ X1)
% 0.60/0.82 | (product @ X0 @ X1 @ e_1)
% 0.60/0.82 | (product @ X0 @ X1 @ e_2)
% 0.60/0.82 | (product @ X0 @ X1 @ e_3))),
% 0.60/0.82 inference('cnf', [status(esa)], [product_total_function1])).
% 0.60/0.82 thf(zip_derived_cl29, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.60/0.82 inference('cnf', [status(esa)], [product_idempotence])).
% 0.60/0.82 thf(qg1_2, conjecture,
% 0.60/0.82 (~( ( equalish @ Y1 @ Y2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.60/0.82 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.60/0.82 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.60/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.60/0.82 (( equalish @ Y1 @ Y2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.60/0.82 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.60/0.82 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.60/0.82 inference('cnf.neg', [status(esa)], [qg1_2])).
% 0.60/0.82 thf(zip_derived_cl31, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.60/0.82 ( (equalish @ X0 @ X1)
% 0.60/0.82 | ~ (product @ X2 @ X1 @ X3)
% 0.60/0.82 | ~ (product @ X2 @ X0 @ X4)
% 0.60/0.82 | ~ (product @ X3 @ X1 @ X5)
% 0.60/0.82 | ~ (product @ X4 @ X0 @ X5))),
% 0.60/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.82 thf(zip_derived_cl153, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.82 (~ (product @ X3 @ X2 @ X1)
% 0.60/0.82 | ~ (product @ X0 @ X0 @ X1)
% 0.60/0.82 | ~ (product @ X0 @ X2 @ X3)
% 0.60/0.82 | (equalish @ X2 @ X0))),
% 0.60/0.82 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl31])).
% 0.60/0.82 thf(zip_derived_cl164, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 ( (equalish @ X1 @ X0)
% 0.60/0.82 | ~ (product @ X0 @ X1 @ X0)
% 0.60/0.82 | ~ (product @ X0 @ X0 @ X0))),
% 0.60/0.82 inference('eq_fact', [status(thm)], [zip_derived_cl153])).
% 0.60/0.82 thf(zip_derived_cl29, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.60/0.82 inference('cnf', [status(esa)], [product_idempotence])).
% 0.60/0.82 thf(zip_derived_cl165, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 ( (equalish @ X1 @ X0) | ~ (product @ X0 @ X1 @ X0))),
% 0.60/0.82 inference('demod', [status(thm)], [zip_derived_cl164, zip_derived_cl29])).
% 0.60/0.82 thf(zip_derived_cl170, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 ( (product @ e_3 @ X0 @ e_2)
% 0.60/0.82 | (product @ e_3 @ X0 @ e_1)
% 0.60/0.82 | ~ (group_element @ X0)
% 0.60/0.82 | ~ (group_element @ e_3)
% 0.60/0.82 | (equalish @ X0 @ e_3))),
% 0.60/0.82 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl165])).
% 0.60/0.82 thf(element_3, axiom, (group_element @ e_3)).
% 0.60/0.82 thf(zip_derived_cl18, plain, ( (group_element @ e_3)),
% 0.60/0.82 inference('cnf', [status(esa)], [element_3])).
% 0.60/0.82 thf(zip_derived_cl171, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 ( (product @ e_3 @ X0 @ e_2)
% 0.60/0.82 | (product @ e_3 @ X0 @ e_1)
% 0.60/0.82 | ~ (group_element @ X0)
% 0.60/0.82 | (equalish @ X0 @ e_3))),
% 0.60/0.82 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl18])).
% 0.60/0.82 thf(zip_derived_cl203, plain,
% 0.60/0.82 (( (equalish @ e_2 @ e_3)
% 0.60/0.82 | (equalish @ e_2 @ e_3)
% 0.60/0.82 | ~ (group_element @ e_2)
% 0.60/0.82 | (product @ e_3 @ e_2 @ e_1))),
% 0.60/0.82 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl171])).
% 0.60/0.82 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 0.60/0.82 thf(zip_derived_cl22, plain, (~ (equalish @ e_2 @ e_3)),
% 0.60/0.82 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 0.60/0.82 thf(zip_derived_cl22, plain, (~ (equalish @ e_2 @ e_3)),
% 0.60/0.82 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 0.60/0.82 thf(element_2, axiom, (group_element @ e_2)).
% 0.60/0.82 thf(zip_derived_cl17, plain, ( (group_element @ e_2)),
% 0.60/0.82 inference('cnf', [status(esa)], [element_2])).
% 0.60/0.82 thf(zip_derived_cl206, plain, ( (product @ e_3 @ e_2 @ e_1)),
% 0.60/0.82 inference('demod', [status(thm)],
% 0.60/0.82 [zip_derived_cl203, zip_derived_cl22, zip_derived_cl22,
% 0.60/0.82 zip_derived_cl17])).
% 0.60/0.82 thf(qg1_1, conjecture,
% 0.60/0.82 (~( ( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.60/0.82 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.60/0.82 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.60/0.82 thf(zf_stmt_1, negated_conjecture,
% 0.60/0.82 (( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.60/0.82 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.60/0.82 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.60/0.82 inference('cnf.neg', [status(esa)], [qg1_1])).
% 0.60/0.82 thf(zip_derived_cl30, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.60/0.82 ( (equalish @ X0 @ X1)
% 0.60/0.82 | ~ (product @ X2 @ X3 @ X1)
% 0.60/0.82 | ~ (product @ X2 @ X4 @ X0)
% 0.60/0.82 | ~ (product @ X1 @ X3 @ X5)
% 0.60/0.82 | ~ (product @ X0 @ X4 @ X5))),
% 0.60/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.60/0.82 thf(zip_derived_cl127, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.82 (~ (product @ X3 @ X2 @ X0)
% 0.60/0.82 | ~ (product @ X0 @ X1 @ X0)
% 0.60/0.82 | ~ (product @ X0 @ X2 @ X3)
% 0.60/0.82 | (equalish @ X3 @ X0))),
% 0.60/0.82 inference('eq_fact', [status(thm)], [zip_derived_cl30])).
% 0.60/0.82 thf(zip_derived_cl220, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 ( (equalish @ e_3 @ e_1)
% 0.60/0.82 | ~ (product @ e_1 @ e_2 @ e_3)
% 0.60/0.82 | ~ (product @ e_1 @ X0 @ e_1))),
% 0.60/0.82 inference('sup-', [status(thm)], [zip_derived_cl206, zip_derived_cl127])).
% 0.60/0.82 thf(e_3_is_not_e_1, axiom, (~( equalish @ e_3 @ e_1 ))).
% 0.60/0.82 thf(zip_derived_cl23, plain, (~ (equalish @ e_3 @ e_1)),
% 0.60/0.82 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 0.60/0.82 thf(zip_derived_cl222, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 (~ (product @ e_1 @ e_2 @ e_3) | ~ (product @ e_1 @ X0 @ e_1))),
% 0.60/0.82 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl23])).
% 0.60/0.82 thf(zip_derived_cl223, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 ( (product @ e_1 @ e_2 @ e_2)
% 0.60/0.82 | (product @ e_1 @ e_2 @ e_1)
% 0.60/0.82 | ~ (group_element @ e_2)
% 0.60/0.82 | ~ (group_element @ e_1)
% 0.60/0.82 | ~ (product @ e_1 @ X0 @ e_1))),
% 0.60/0.82 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl222])).
% 0.60/0.82 thf(zip_derived_cl17, plain, ( (group_element @ e_2)),
% 0.60/0.82 inference('cnf', [status(esa)], [element_2])).
% 0.60/0.82 thf(element_1, axiom, (group_element @ e_1)).
% 0.60/0.82 thf(zip_derived_cl16, plain, ( (group_element @ e_1)),
% 0.60/0.82 inference('cnf', [status(esa)], [element_1])).
% 0.60/0.82 thf(zip_derived_cl224, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 ( (product @ e_1 @ e_2 @ e_2)
% 0.60/0.82 | (product @ e_1 @ e_2 @ e_1)
% 0.60/0.82 | ~ (product @ e_1 @ X0 @ e_1))),
% 0.60/0.82 inference('demod', [status(thm)],
% 0.60/0.82 [zip_derived_cl223, zip_derived_cl17, zip_derived_cl16])).
% 0.60/0.82 thf(zip_derived_cl288, plain,
% 0.60/0.82 (( (product @ e_1 @ e_2 @ e_1) | (product @ e_1 @ e_2 @ e_2))),
% 0.60/0.82 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl224])).
% 0.60/0.82 thf(zip_derived_cl302, plain,
% 0.60/0.82 (( (equalish @ e_2 @ e_1) | (product @ e_1 @ e_2 @ e_1))),
% 0.60/0.82 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl288])).
% 0.60/0.82 thf(e_2_is_not_e_1, axiom, (~( equalish @ e_2 @ e_1 ))).
% 0.60/0.82 thf(zip_derived_cl21, plain, (~ (equalish @ e_2 @ e_1)),
% 0.60/0.82 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 0.60/0.82 thf(zip_derived_cl303, plain, ( (product @ e_1 @ e_2 @ e_1)),
% 0.60/0.82 inference('demod', [status(thm)], [zip_derived_cl302, zip_derived_cl21])).
% 0.60/0.82 thf(zip_derived_cl29, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.60/0.82 inference('cnf', [status(esa)], [product_idempotence])).
% 0.60/0.82 thf(product_right_cancellation, axiom,
% 0.60/0.82 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 0.60/0.82 ( equalish @ W @ Z ))).
% 0.60/0.82 thf(zip_derived_cl27, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.82 (~ (product @ X0 @ X1 @ X2)
% 0.60/0.82 | ~ (product @ X0 @ X3 @ X2)
% 0.60/0.82 | (equalish @ X1 @ X3))),
% 0.60/0.82 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.60/0.82 thf(zip_derived_cl89, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 ( (equalish @ X0 @ X1) | ~ (product @ X0 @ X1 @ X0))),
% 0.60/0.82 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl27])).
% 0.60/0.82 thf(zip_derived_cl311, plain, ( (equalish @ e_1 @ e_2)),
% 0.60/0.82 inference('sup-', [status(thm)], [zip_derived_cl303, zip_derived_cl89])).
% 0.60/0.82 thf(zip_derived_cl323, plain, ($false),
% 0.60/0.82 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl311])).
% 0.60/0.82
% 0.60/0.82 % SZS output end Refutation
% 0.60/0.82
% 0.60/0.82
% 0.60/0.82 % Terminating...
% 1.60/0.87 % Runner terminated.
% 1.60/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------