%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP123-9.003 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YDou3gE9jk true
% Computer : n005.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 04:35:41 PM UTC 2025
% Result : Unsatisfiable 0.45s 0.81s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : GRP123-9.003 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.04/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YDou3gE9jk true
% 0.10/0.30 % Computer : n005.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 14:18:53 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.41/0.58 % Total configuration time : 435
% 0.41/0.58 % Estimated wc time : 1092
% 0.41/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.81 % Solved by fo/fo6_bce.sh.
% 0.45/0.81 % BCE start: 22
% 0.45/0.81 % BCE eliminated: 2
% 0.45/0.81 % PE start: 20
% 0.45/0.81 logic: neq
% 0.45/0.81 % PE eliminated: 0
% 0.45/0.81 % done 59 iterations in 0.037s
% 0.45/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.45/0.81 % SZS output start Refutation
% 0.45/0.81 thf(e_1_type, type, e_1: $i).
% 0.45/0.81 thf(e_2_type, type, e_2: $i).
% 0.45/0.81 thf(group_element_type, type, group_element: $i > $o).
% 0.45/0.81 thf(product2_type, type, product2: $i > $i > $i > $o).
% 0.45/0.81 thf(product1_type, type, product1: $i > $i > $i > $o).
% 0.45/0.81 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.45/0.81 thf(e_3_type, type, e_3: $i).
% 0.45/0.81 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.45/0.81 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.45/0.81 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.45/0.81 thf(product1_total_function1, axiom,
% 0.45/0.81 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.45/0.81 ( product1 @ X @ Y @ e_1 ) | ( product1 @ X @ Y @ e_2 ) |
% 0.45/0.81 ( product1 @ X @ Y @ e_3 ))).
% 0.45/0.81 thf(zip_derived_cl11, plain,
% 0.45/0.81 (![X0 : $i, X1 : $i]:
% 0.45/0.81 (~ (group_element @ X0)
% 0.45/0.81 | ~ (group_element @ X1)
% 0.45/0.82 | (product1 @ X0 @ X1 @ e_1)
% 0.45/0.82 | (product1 @ X0 @ X1 @ e_2)
% 0.45/0.82 | (product1 @ X0 @ X1 @ e_3))),
% 0.45/0.82 inference('cnf', [status(esa)], [product1_total_function1])).
% 0.45/0.82 thf(zip_derived_cl11, plain,
% 0.45/0.82 (![X0 : $i, X1 : $i]:
% 0.45/0.82 (~ (group_element @ X0)
% 0.45/0.82 | ~ (group_element @ X1)
% 0.45/0.82 | (product1 @ X0 @ X1 @ e_1)
% 0.45/0.82 | (product1 @ X0 @ X1 @ e_2)
% 0.45/0.82 | (product1 @ X0 @ X1 @ e_3))),
% 0.45/0.82 inference('cnf', [status(esa)], [product1_total_function1])).
% 0.45/0.82 thf(product1_idempotence, axiom, (product1 @ X @ X @ X)).
% 0.45/0.82 thf(zip_derived_cl15, plain, (![X0 : $i]: (product1 @ X0 @ X0 @ X0)),
% 0.45/0.82 inference('cnf', [status(esa)], [product1_idempotence])).
% 0.45/0.82 thf(product1_right_cancellation, axiom,
% 0.45/0.82 (( ~( product1 @ X @ W @ Y ) ) | ( ~( product1 @ X @ Z @ Y ) ) |
% 0.45/0.82 ( equalish @ W @ Z ))).
% 0.45/0.82 thf(zip_derived_cl13, plain,
% 0.45/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.45/0.82 (~ (product1 @ X0 @ X1 @ X2)
% 0.45/0.82 | ~ (product1 @ X0 @ X3 @ X2)
% 0.45/0.82 | (equalish @ X1 @ X3))),
% 0.45/0.82 inference('cnf', [status(esa)], [product1_right_cancellation])).
% 0.45/0.82 thf(zip_derived_cl65, plain,
% 0.45/0.82 (![X0 : $i, X1 : $i]:
% 0.45/0.82 (~ (product1 @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl13])).
% 0.45/0.82 thf(zip_derived_cl74, plain,
% 0.45/0.82 (![X0 : $i]:
% 0.45/0.82 ( (product1 @ e_3 @ X0 @ e_2)
% 0.45/0.82 | (product1 @ e_3 @ X0 @ e_1)
% 0.45/0.82 | ~ (group_element @ X0)
% 0.45/0.82 | ~ (group_element @ e_3)
% 0.45/0.82 | (equalish @ e_3 @ X0))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl65])).
% 0.45/0.82 thf(element_3, axiom, (group_element @ e_3)).
% 0.45/0.82 thf(zip_derived_cl4, plain, ( (group_element @ e_3)),
% 0.45/0.82 inference('cnf', [status(esa)], [element_3])).
% 0.45/0.82 thf(zip_derived_cl75, plain,
% 0.45/0.82 (![X0 : $i]:
% 0.45/0.82 ( (product1 @ e_3 @ X0 @ e_2)
% 0.45/0.82 | (product1 @ e_3 @ X0 @ e_1)
% 0.45/0.82 | ~ (group_element @ X0)
% 0.45/0.82 | (equalish @ e_3 @ X0))),
% 0.45/0.82 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl4])).
% 0.45/0.82 thf(zip_derived_cl15, plain, (![X0 : $i]: (product1 @ X0 @ X0 @ X0)),
% 0.45/0.82 inference('cnf', [status(esa)], [product1_idempotence])).
% 0.45/0.82 thf(product1_left_cancellation, axiom,
% 0.45/0.82 (( ~( product1 @ W @ Y @ X ) ) | ( ~( product1 @ Z @ Y @ X ) ) |
% 0.45/0.82 ( equalish @ W @ Z ))).
% 0.45/0.82 thf(zip_derived_cl14, plain,
% 0.45/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.45/0.82 (~ (product1 @ X0 @ X1 @ X2)
% 0.45/0.82 | ~ (product1 @ X3 @ X1 @ X2)
% 0.45/0.82 | (equalish @ X0 @ X3))),
% 0.45/0.82 inference('cnf', [status(esa)], [product1_left_cancellation])).
% 0.45/0.82 thf(zip_derived_cl68, plain,
% 0.45/0.82 (![X0 : $i, X1 : $i]:
% 0.45/0.82 (~ (product1 @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl14])).
% 0.45/0.82 thf(zip_derived_cl85, plain,
% 0.45/0.82 (( (equalish @ e_3 @ e_2)
% 0.45/0.82 | ~ (group_element @ e_2)
% 0.45/0.82 | (product1 @ e_3 @ e_2 @ e_1)
% 0.45/0.82 | (equalish @ e_2 @ e_3))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl68])).
% 0.45/0.82 thf(e_3_is_not_e_2, axiom, (~( equalish @ e_3 @ e_2 ))).
% 0.45/0.82 thf(zip_derived_cl10, plain, (~ (equalish @ e_3 @ e_2)),
% 0.45/0.82 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 0.45/0.82 thf(element_2, axiom, (group_element @ e_2)).
% 0.45/0.82 thf(zip_derived_cl3, plain, ( (group_element @ e_2)),
% 0.45/0.82 inference('cnf', [status(esa)], [element_2])).
% 0.45/0.82 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 0.45/0.82 thf(zip_derived_cl8, plain, (~ (equalish @ e_2 @ e_3)),
% 0.45/0.82 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 0.45/0.82 thf(zip_derived_cl87, plain, ( (product1 @ e_3 @ e_2 @ e_1)),
% 0.45/0.82 inference('demod', [status(thm)],
% 0.45/0.82 [zip_derived_cl85, zip_derived_cl10, zip_derived_cl3,
% 0.45/0.82 zip_derived_cl8])).
% 0.45/0.82 thf(qg1a, conjecture,
% 0.45/0.82 (~( ( product2 @ Z2 @ X @ Y ) | ( ~( product1 @ Z1 @ Y @ Z2 ) ) |
% 0.45/0.82 ( ~( product1 @ X @ Y @ Z1 ) ) ))).
% 0.45/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.45/0.82 (( product2 @ Z2 @ X @ Y ) | ( ~( product1 @ Z1 @ Y @ Z2 ) ) |
% 0.45/0.82 ( ~( product1 @ X @ Y @ Z1 ) )),
% 0.45/0.82 inference('cnf.neg', [status(esa)], [qg1a])).
% 0.45/0.82 thf(zip_derived_cl21, plain,
% 0.45/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.45/0.82 ( (product2 @ X0 @ X1 @ X2)
% 0.45/0.82 | ~ (product1 @ X3 @ X2 @ X0)
% 0.45/0.82 | ~ (product1 @ X1 @ X2 @ X3))),
% 0.45/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.45/0.82 thf(zip_derived_cl100, plain,
% 0.45/0.82 (![X0 : $i]:
% 0.45/0.82 ( (product2 @ e_1 @ X0 @ e_2) | ~ (product1 @ X0 @ e_2 @ e_3))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl21])).
% 0.45/0.82 thf(product2_idempotence, axiom, (product2 @ X @ X @ X)).
% 0.45/0.82 thf(zip_derived_cl20, plain, (![X0 : $i]: (product2 @ X0 @ X0 @ X0)),
% 0.45/0.82 inference('cnf', [status(esa)], [product2_idempotence])).
% 0.45/0.82 thf(product2_total_function2, axiom,
% 0.45/0.82 (( ~( product2 @ X @ Y @ W ) ) | ( ~( product2 @ X @ Y @ Z ) ) |
% 0.45/0.82 ( equalish @ W @ Z ))).
% 0.45/0.82 thf(zip_derived_cl17, plain,
% 0.45/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.45/0.82 (~ (product2 @ X0 @ X1 @ X2)
% 0.45/0.82 | ~ (product2 @ X0 @ X1 @ X3)
% 0.45/0.82 | (equalish @ X2 @ X3))),
% 0.45/0.82 inference('cnf', [status(esa)], [product2_total_function2])).
% 0.45/0.82 thf(zip_derived_cl88, plain,
% 0.45/0.82 (![X0 : $i, X1 : $i]:
% 0.45/0.82 (~ (product2 @ X0 @ X0 @ X1) | (equalish @ X0 @ X1))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl17])).
% 0.45/0.82 thf(zip_derived_cl119, plain,
% 0.45/0.82 ((~ (product1 @ e_1 @ e_2 @ e_3) | (equalish @ e_1 @ e_2))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl88])).
% 0.45/0.82 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.45/0.82 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.45/0.82 thf(zip_derived_cl120, plain, (~ (product1 @ e_1 @ e_2 @ e_3)),
% 0.45/0.82 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl5])).
% 0.45/0.82 thf(zip_derived_cl135, plain,
% 0.45/0.82 (( (product1 @ e_1 @ e_2 @ e_2)
% 0.45/0.82 | (product1 @ e_1 @ e_2 @ e_1)
% 0.45/0.82 | ~ (group_element @ e_2)
% 0.45/0.82 | ~ (group_element @ e_1))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl120])).
% 0.45/0.82 thf(zip_derived_cl3, plain, ( (group_element @ e_2)),
% 0.45/0.82 inference('cnf', [status(esa)], [element_2])).
% 0.45/0.82 thf(element_1, axiom, (group_element @ e_1)).
% 0.45/0.82 thf(zip_derived_cl2, plain, ( (group_element @ e_1)),
% 0.45/0.82 inference('cnf', [status(esa)], [element_1])).
% 0.45/0.82 thf(zip_derived_cl136, plain,
% 0.45/0.82 (( (product1 @ e_1 @ e_2 @ e_2) | (product1 @ e_1 @ e_2 @ e_1))),
% 0.45/0.82 inference('demod', [status(thm)],
% 0.45/0.82 [zip_derived_cl135, zip_derived_cl3, zip_derived_cl2])).
% 0.45/0.82 thf(zip_derived_cl68, plain,
% 0.45/0.82 (![X0 : $i, X1 : $i]:
% 0.45/0.82 (~ (product1 @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl14])).
% 0.45/0.82 thf(zip_derived_cl171, plain,
% 0.45/0.82 (( (product1 @ e_1 @ e_2 @ e_1) | (equalish @ e_2 @ e_1))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl68])).
% 0.45/0.82 thf(e_2_is_not_e_1, axiom, (~( equalish @ e_2 @ e_1 ))).
% 0.45/0.82 thf(zip_derived_cl7, plain, (~ (equalish @ e_2 @ e_1)),
% 0.45/0.82 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 0.45/0.82 thf(zip_derived_cl175, plain, ( (product1 @ e_1 @ e_2 @ e_1)),
% 0.45/0.82 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl7])).
% 0.45/0.82 thf(zip_derived_cl65, plain,
% 0.45/0.82 (![X0 : $i, X1 : $i]:
% 0.45/0.82 (~ (product1 @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl13])).
% 0.45/0.82 thf(zip_derived_cl187, plain, ( (equalish @ e_1 @ e_2)),
% 0.45/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl65])).
% 0.45/0.82 thf(zip_derived_cl191, plain, ($false),
% 0.45/0.82 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl187])).
% 0.45/0.82
% 0.45/0.82 % SZS output end Refutation
% 0.45/0.82
% 0.45/0.82
% 0.45/0.82 % Terminating...
% 0.46/0.90 % Runner terminated.
% 0.46/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------