%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP123-7.003 : 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.q4rF9F9ErD true
% Computer : n025.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 0.47s 0.72s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP123-7.003 : TPTP v9.2.0. Released v1.2.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q4rF9F9ErD true
% 0.10/0.32 % Computer : n025.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 14:18:53 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.46/0.61 % Total configuration time : 435
% 0.46/0.61 % Estimated wc time : 1092
% 0.46/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.72 % Solved by fo/fo7.sh.
% 0.47/0.72 % done 67 iterations in 0.026s
% 0.47/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.72 % SZS output start Refutation
% 0.47/0.72 thf(e_3_type, type, e_3: $i).
% 0.47/0.72 thf(e_2_type, type, e_2: $i).
% 0.47/0.72 thf(e_1_type, type, e_1: $i).
% 0.47/0.72 thf(product1_type, type, product1: $i > $i > $i > $o).
% 0.47/0.72 thf(group_element_type, type, group_element: $i > $o).
% 0.47/0.72 thf(product2_type, type, product2: $i > $i > $i > $o).
% 0.47/0.72 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.47/0.72 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.47/0.72 thf(zip_derived_cl9, plain, (~ (equalish @ e_1 @ e_2)),
% 0.47/0.72 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.47/0.72 thf(product1_total_function1, axiom,
% 0.47/0.72 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.47/0.72 ( product1 @ X @ Y @ e_1 ) | ( product1 @ X @ Y @ e_2 ) |
% 0.47/0.72 ( product1 @ X @ Y @ e_3 ))).
% 0.47/0.72 thf(zip_derived_cl15, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i]:
% 0.47/0.72 (~ (group_element @ X0)
% 0.47/0.72 | ~ (group_element @ X1)
% 0.47/0.72 | (product1 @ X0 @ X1 @ e_1)
% 0.47/0.72 | (product1 @ X0 @ X1 @ e_2)
% 0.47/0.72 | (product1 @ X0 @ X1 @ e_3))),
% 0.47/0.72 inference('cnf', [status(esa)], [product1_total_function1])).
% 0.47/0.72 thf(zip_derived_cl15, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i]:
% 0.47/0.72 (~ (group_element @ X0)
% 0.47/0.72 | ~ (group_element @ X1)
% 0.47/0.72 | (product1 @ X0 @ X1 @ e_1)
% 0.47/0.72 | (product1 @ X0 @ X1 @ e_2)
% 0.47/0.72 | (product1 @ X0 @ X1 @ e_3))),
% 0.47/0.72 inference('cnf', [status(esa)], [product1_total_function1])).
% 0.47/0.72 thf(product1_idempotence, axiom, (product1 @ X @ X @ X)).
% 0.47/0.72 thf(zip_derived_cl19, plain, (![X0 : $i]: (product1 @ X0 @ X0 @ X0)),
% 0.47/0.72 inference('cnf', [status(esa)], [product1_idempotence])).
% 0.47/0.72 thf(product1_right_cancellation, axiom,
% 0.47/0.72 (( ~( product1 @ X @ W @ Y ) ) | ( ~( product1 @ X @ Z @ Y ) ) |
% 0.47/0.72 ( equalish @ W @ Z ))).
% 0.47/0.72 thf(zip_derived_cl17, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.72 (~ (product1 @ X0 @ X1 @ X2)
% 0.47/0.72 | ~ (product1 @ X0 @ X3 @ X2)
% 0.47/0.72 | (equalish @ X1 @ X3))),
% 0.47/0.72 inference('cnf', [status(esa)], [product1_right_cancellation])).
% 0.47/0.72 thf(zip_derived_cl30, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i]:
% 0.47/0.72 ( (equalish @ X0 @ X1) | ~ (product1 @ X0 @ X1 @ X0))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl17])).
% 0.47/0.72 thf(zip_derived_cl37, plain,
% 0.47/0.72 (![X0 : $i]:
% 0.47/0.72 ( (product1 @ e_3 @ X0 @ e_2)
% 0.47/0.72 | (product1 @ e_3 @ X0 @ e_1)
% 0.47/0.72 | ~ (group_element @ X0)
% 0.47/0.72 | ~ (group_element @ e_3)
% 0.47/0.72 | (equalish @ e_3 @ X0))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl30])).
% 0.47/0.72 thf(element_3, axiom, (group_element @ e_3)).
% 0.47/0.72 thf(zip_derived_cl8, plain, ( (group_element @ e_3)),
% 0.47/0.72 inference('cnf', [status(esa)], [element_3])).
% 0.47/0.72 thf(zip_derived_cl39, plain,
% 0.47/0.72 (![X0 : $i]:
% 0.47/0.72 ( (product1 @ e_3 @ X0 @ e_2)
% 0.47/0.72 | (product1 @ e_3 @ X0 @ e_1)
% 0.47/0.72 | ~ (group_element @ X0)
% 0.47/0.72 | (equalish @ e_3 @ X0))),
% 0.47/0.72 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl8])).
% 0.47/0.72 thf(zip_derived_cl19, plain, (![X0 : $i]: (product1 @ X0 @ X0 @ X0)),
% 0.47/0.72 inference('cnf', [status(esa)], [product1_idempotence])).
% 0.47/0.72 thf(product1_left_cancellation, axiom,
% 0.47/0.72 (( ~( product1 @ W @ Y @ X ) ) | ( ~( product1 @ Z @ Y @ X ) ) |
% 0.47/0.72 ( equalish @ W @ Z ))).
% 0.47/0.72 thf(zip_derived_cl18, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.72 (~ (product1 @ X0 @ X1 @ X2)
% 0.47/0.72 | ~ (product1 @ X3 @ X1 @ X2)
% 0.47/0.72 | (equalish @ X0 @ X3))),
% 0.47/0.72 inference('cnf', [status(esa)], [product1_left_cancellation])).
% 0.47/0.72 thf(zip_derived_cl54, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i]:
% 0.47/0.72 ( (equalish @ X0 @ X1) | ~ (product1 @ X1 @ X0 @ X0))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl18])).
% 0.47/0.72 thf(zip_derived_cl96, plain,
% 0.47/0.72 (( (equalish @ e_3 @ e_2)
% 0.47/0.72 | ~ (group_element @ e_2)
% 0.47/0.72 | (product1 @ e_3 @ e_2 @ e_1)
% 0.47/0.72 | (equalish @ e_2 @ e_3))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl54])).
% 0.47/0.72 thf(e_3_is_not_e_2, axiom, (~( equalish @ e_3 @ e_2 ))).
% 0.47/0.72 thf(zip_derived_cl14, plain, (~ (equalish @ e_3 @ e_2)),
% 0.47/0.72 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 0.47/0.72 thf(element_2, axiom, (group_element @ e_2)).
% 0.47/0.72 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 0.47/0.72 inference('cnf', [status(esa)], [element_2])).
% 0.47/0.72 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 0.47/0.72 thf(zip_derived_cl12, plain, (~ (equalish @ e_2 @ e_3)),
% 0.47/0.72 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 0.47/0.72 thf(zip_derived_cl98, plain, ( (product1 @ e_3 @ e_2 @ e_1)),
% 0.47/0.72 inference('demod', [status(thm)],
% 0.47/0.72 [zip_derived_cl96, zip_derived_cl14, zip_derived_cl7,
% 0.47/0.72 zip_derived_cl12])).
% 0.47/0.72 thf(qg1a, conjecture,
% 0.47/0.72 (~( ( product2 @ Z2 @ X @ Y ) | ( ~( product1 @ Z1 @ Y @ Z2 ) ) |
% 0.47/0.72 ( ~( product1 @ X @ Y @ Z1 ) ) ))).
% 0.47/0.72 thf(zf_stmt_0, negated_conjecture,
% 0.47/0.72 (( product2 @ Z2 @ X @ Y ) | ( ~( product1 @ Z1 @ Y @ Z2 ) ) |
% 0.47/0.72 ( ~( product1 @ X @ Y @ Z1 ) )),
% 0.47/0.72 inference('cnf.neg', [status(esa)], [qg1a])).
% 0.47/0.72 thf(zip_derived_cl25, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.72 ( (product2 @ X0 @ X1 @ X2)
% 0.47/0.72 | ~ (product1 @ X3 @ X2 @ X0)
% 0.47/0.72 | ~ (product1 @ X1 @ X2 @ X3))),
% 0.47/0.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.72 thf(zip_derived_cl102, plain,
% 0.47/0.72 (![X0 : $i]:
% 0.47/0.72 (~ (product1 @ X0 @ e_2 @ e_3) | (product2 @ e_1 @ X0 @ e_2))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl25])).
% 0.47/0.72 thf(product2_idempotence, axiom, (product2 @ X @ X @ X)).
% 0.47/0.72 thf(zip_derived_cl24, plain, (![X0 : $i]: (product2 @ X0 @ X0 @ X0)),
% 0.47/0.72 inference('cnf', [status(esa)], [product2_idempotence])).
% 0.47/0.72 thf(product2_total_function2, axiom,
% 0.47/0.72 (( ~( product2 @ X @ Y @ W ) ) | ( ~( product2 @ X @ Y @ Z ) ) |
% 0.47/0.72 ( equalish @ W @ Z ))).
% 0.47/0.72 thf(zip_derived_cl21, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.72 (~ (product2 @ X0 @ X1 @ X2)
% 0.47/0.72 | ~ (product2 @ X0 @ X1 @ X3)
% 0.47/0.72 | (equalish @ X2 @ X3))),
% 0.47/0.72 inference('cnf', [status(esa)], [product2_total_function2])).
% 0.47/0.72 thf(zip_derived_cl67, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i]:
% 0.47/0.72 ( (equalish @ X0 @ X1) | ~ (product2 @ X0 @ X0 @ X1))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl21])).
% 0.47/0.72 thf(zip_derived_cl111, plain,
% 0.47/0.72 ((~ (product1 @ e_1 @ e_2 @ e_3) | (equalish @ e_1 @ e_2))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl67])).
% 0.47/0.72 thf(zip_derived_cl9, plain, (~ (equalish @ e_1 @ e_2)),
% 0.47/0.72 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.47/0.72 thf(zip_derived_cl113, plain, (~ (product1 @ e_1 @ e_2 @ e_3)),
% 0.47/0.72 inference('demod', [status(thm)], [zip_derived_cl111, zip_derived_cl9])).
% 0.47/0.72 thf(zip_derived_cl115, plain,
% 0.47/0.72 (( (product1 @ e_1 @ e_2 @ e_2)
% 0.47/0.72 | (product1 @ e_1 @ e_2 @ e_1)
% 0.47/0.72 | ~ (group_element @ e_2)
% 0.47/0.72 | ~ (group_element @ e_1))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl113])).
% 0.47/0.72 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 0.47/0.72 inference('cnf', [status(esa)], [element_2])).
% 0.47/0.72 thf(element_1, axiom, (group_element @ e_1)).
% 0.47/0.72 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 0.47/0.72 inference('cnf', [status(esa)], [element_1])).
% 0.47/0.72 thf(zip_derived_cl116, plain,
% 0.47/0.72 (( (product1 @ e_1 @ e_2 @ e_2) | (product1 @ e_1 @ e_2 @ e_1))),
% 0.47/0.72 inference('demod', [status(thm)],
% 0.47/0.72 [zip_derived_cl115, zip_derived_cl7, zip_derived_cl6])).
% 0.47/0.72 thf(zip_derived_cl54, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i]:
% 0.47/0.72 ( (equalish @ X0 @ X1) | ~ (product1 @ X1 @ X0 @ X0))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl18])).
% 0.47/0.72 thf(zip_derived_cl123, plain,
% 0.47/0.72 (( (product1 @ e_1 @ e_2 @ e_1) | (equalish @ e_2 @ e_1))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl54])).
% 0.47/0.72 thf(e_2_is_not_e_1, axiom, (~( equalish @ e_2 @ e_1 ))).
% 0.47/0.72 thf(zip_derived_cl11, plain, (~ (equalish @ e_2 @ e_1)),
% 0.47/0.72 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 0.47/0.72 thf(zip_derived_cl124, plain, ( (product1 @ e_1 @ e_2 @ e_1)),
% 0.47/0.72 inference('demod', [status(thm)], [zip_derived_cl123, zip_derived_cl11])).
% 0.47/0.72 thf(zip_derived_cl30, plain,
% 0.47/0.72 (![X0 : $i, X1 : $i]:
% 0.47/0.72 ( (equalish @ X0 @ X1) | ~ (product1 @ X0 @ X1 @ X0))),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl17])).
% 0.47/0.72 thf(zip_derived_cl165, plain, ( (equalish @ e_1 @ e_2)),
% 0.47/0.72 inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl30])).
% 0.47/0.72 thf(zip_derived_cl167, plain, ($false),
% 0.47/0.72 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl165])).
% 0.47/0.72
% 0.47/0.72 % SZS output end Refutation
% 0.47/0.72
% 0.47/0.72
% 0.47/0.72 % Terminating...
% 0.51/0.81 % Runner terminated.
% 0.51/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------