%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP125-1.003 : 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.opU9m6SBC2 true
% Computer : n001.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 04:35:43 PM UTC 2025
% Result : Unsatisfiable 0.49s 0.76s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP125-1.003 : TPTP v9.2.0. Released v1.2.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.opU9m6SBC2 true
% 0.10/0.31 % Computer : n001.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 14:22:53 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.32 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.46/0.60 % Total configuration time : 435
% 0.46/0.60 % Estimated wc time : 1092
% 0.46/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.76 % Solved by fo/fo1_av.sh.
% 0.49/0.76 % done 88 iterations in 0.049s
% 0.49/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.76 % SZS output start Refutation
% 0.49/0.76 thf(e_1_type, type, e_1: $i).
% 0.49/0.76 thf(e_3_type, type, e_3: $i).
% 0.49/0.76 thf(group_element_type, type, group_element: $i > $o).
% 0.49/0.76 thf(e_2_type, type, e_2: $i).
% 0.49/0.76 thf(product_type, type, product: $i > $i > $i > $o).
% 0.49/0.76 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.49/0.76 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.49/0.76 thf(zip_derived_cl3, plain, (~ (equalish @ e_1 @ e_2)),
% 0.49/0.76 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.49/0.76 thf(element_2, axiom, (group_element @ e_2)).
% 0.49/0.76 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.49/0.76 inference('cnf', [status(esa)], [element_2])).
% 0.49/0.76 thf(product_total_function1, axiom,
% 0.49/0.76 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.49/0.76 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ) |
% 0.49/0.76 ( product @ X @ Y @ e_3 ))).
% 0.49/0.76 thf(zip_derived_cl9, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i]:
% 0.49/0.76 (~ (group_element @ X0)
% 0.49/0.76 | ~ (group_element @ X1)
% 0.49/0.76 | (product @ X0 @ X1 @ e_1)
% 0.49/0.76 | (product @ X0 @ X1 @ e_2)
% 0.49/0.76 | (product @ X0 @ X1 @ e_3))),
% 0.49/0.76 inference('cnf', [status(esa)], [product_total_function1])).
% 0.49/0.76 thf(zip_derived_cl23, plain,
% 0.49/0.76 (![X0 : $i]:
% 0.49/0.76 (~ (group_element @ X0)
% 0.49/0.76 | (product @ e_2 @ X0 @ e_1)
% 0.49/0.76 | (product @ e_2 @ X0 @ e_2)
% 0.49/0.76 | (product @ e_2 @ X0 @ e_3))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl9])).
% 0.49/0.76 thf(element_1, axiom, (group_element @ e_1)).
% 0.49/0.76 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.49/0.76 inference('cnf', [status(esa)], [element_1])).
% 0.49/0.76 thf(zip_derived_cl54, plain,
% 0.49/0.76 (( (product @ e_2 @ e_1 @ e_3)
% 0.49/0.76 | (product @ e_2 @ e_1 @ e_2)
% 0.49/0.76 | (product @ e_2 @ e_1 @ e_1))),
% 0.49/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.49/0.76 thf(zip_derived_cl138, plain,
% 0.49/0.76 (( (product @ e_2 @ e_1 @ e_1)) <= (( (product @ e_2 @ e_1 @ e_1)))),
% 0.49/0.76 inference('split', [status(esa)], [zip_derived_cl54])).
% 0.49/0.76 thf(zip_derived_cl136, plain,
% 0.49/0.76 (( (product @ e_2 @ e_1 @ e_3)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 0.49/0.76 inference('split', [status(esa)], [zip_derived_cl54])).
% 0.49/0.76 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.49/0.76 inference('cnf', [status(esa)], [element_2])).
% 0.49/0.76 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.49/0.76 inference('cnf', [status(esa)], [element_1])).
% 0.49/0.76 thf(zip_derived_cl9, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i]:
% 0.49/0.76 (~ (group_element @ X0)
% 0.49/0.76 | ~ (group_element @ X1)
% 0.49/0.76 | (product @ X0 @ X1 @ e_1)
% 0.49/0.76 | (product @ X0 @ X1 @ e_2)
% 0.49/0.76 | (product @ X0 @ X1 @ e_3))),
% 0.49/0.76 inference('cnf', [status(esa)], [product_total_function1])).
% 0.49/0.76 thf(zip_derived_cl22, plain,
% 0.49/0.76 (![X0 : $i]:
% 0.49/0.76 (~ (group_element @ X0)
% 0.49/0.76 | (product @ e_1 @ X0 @ e_1)
% 0.49/0.76 | (product @ e_1 @ X0 @ e_2)
% 0.49/0.76 | (product @ e_1 @ X0 @ e_3))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 0.49/0.76 thf(zip_derived_cl41, plain,
% 0.49/0.76 (( (product @ e_1 @ e_2 @ e_1)
% 0.49/0.76 | (product @ e_1 @ e_2 @ e_2)
% 0.49/0.76 | (product @ e_1 @ e_2 @ e_3))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl22])).
% 0.49/0.76 thf(zip_derived_cl110, plain,
% 0.49/0.76 (( (product @ e_1 @ e_2 @ e_3)) <= (( (product @ e_1 @ e_2 @ e_3)))),
% 0.49/0.76 inference('split', [status(esa)], [zip_derived_cl41])).
% 0.49/0.76 thf(zip_derived_cl22, plain,
% 0.49/0.76 (![X0 : $i]:
% 0.49/0.76 (~ (group_element @ X0)
% 0.49/0.76 | (product @ e_1 @ X0 @ e_1)
% 0.49/0.76 | (product @ e_1 @ X0 @ e_2)
% 0.49/0.76 | (product @ e_1 @ X0 @ e_3))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 0.49/0.76 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.49/0.76 inference('cnf', [status(esa)], [element_2])).
% 0.49/0.76 thf(zip_derived_cl38, plain,
% 0.49/0.76 (( (product @ e_1 @ e_2 @ e_3)
% 0.49/0.76 | (product @ e_1 @ e_2 @ e_2)
% 0.49/0.76 | (product @ e_1 @ e_2 @ e_1))),
% 0.49/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 0.49/0.76 thf(zip_derived_cl69, plain,
% 0.49/0.76 (( (product @ e_1 @ e_2 @ e_2)) <= (( (product @ e_1 @ e_2 @ e_2)))),
% 0.49/0.76 inference('split', [status(esa)], [zip_derived_cl38])).
% 0.49/0.76 thf(product_idempotence, axiom, (product @ X @ X @ X)).
% 0.49/0.76 thf(zip_derived_cl13, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.49/0.76 inference('cnf', [status(esa)], [product_idempotence])).
% 0.49/0.76 thf(product_left_cancellation, axiom,
% 0.49/0.76 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 0.49/0.76 ( equalish @ W @ Z ))).
% 0.49/0.76 thf(zip_derived_cl12, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.76 (~ (product @ X0 @ X1 @ X2)
% 0.49/0.76 | ~ (product @ X3 @ X1 @ X2)
% 0.49/0.76 | (equalish @ X0 @ X3))),
% 0.49/0.76 inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.49/0.76 thf(zip_derived_cl29, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i]:
% 0.49/0.76 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl12])).
% 0.49/0.76 thf(zip_derived_cl79, plain,
% 0.49/0.76 (( (equalish @ e_2 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_2)))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl29])).
% 0.49/0.76 thf(e_2_is_not_e_1, axiom, (~( equalish @ e_2 @ e_1 ))).
% 0.49/0.76 thf(zip_derived_cl5, plain, (~ (equalish @ e_2 @ e_1)),
% 0.49/0.76 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 0.49/0.76 thf('0', plain, (~ ( (product @ e_1 @ e_2 @ e_2))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl5])).
% 0.49/0.76 thf(zip_derived_cl70, plain,
% 0.49/0.76 (( (product @ e_1 @ e_2 @ e_1)) <= (( (product @ e_1 @ e_2 @ e_1)))),
% 0.49/0.76 inference('split', [status(esa)], [zip_derived_cl38])).
% 0.49/0.76 thf(zip_derived_cl13, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.49/0.76 inference('cnf', [status(esa)], [product_idempotence])).
% 0.49/0.76 thf(product_right_cancellation, axiom,
% 0.49/0.76 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 0.49/0.76 ( equalish @ W @ Z ))).
% 0.49/0.76 thf(zip_derived_cl11, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.76 (~ (product @ X0 @ X1 @ X2)
% 0.49/0.76 | ~ (product @ X0 @ X3 @ X2)
% 0.49/0.76 | (equalish @ X1 @ X3))),
% 0.49/0.76 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.49/0.76 thf(zip_derived_cl17, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i]:
% 0.49/0.76 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl11])).
% 0.49/0.76 thf(zip_derived_cl85, plain,
% 0.49/0.76 (( (equalish @ e_1 @ e_2)) <= (( (product @ e_1 @ e_2 @ e_1)))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl17])).
% 0.49/0.76 thf(zip_derived_cl3, plain, (~ (equalish @ e_1 @ e_2)),
% 0.49/0.76 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.49/0.76 thf('1', plain, (~ ( (product @ e_1 @ e_2 @ e_1))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3])).
% 0.49/0.76 thf('2', plain,
% 0.49/0.76 (( (product @ e_1 @ e_2 @ e_3)) | ( (product @ e_1 @ e_2 @ e_1)) |
% 0.49/0.76 ( (product @ e_1 @ e_2 @ e_2))),
% 0.49/0.76 inference('split', [status(esa)], [zip_derived_cl38])).
% 0.49/0.76 thf('3', plain, (( (product @ e_1 @ e_2 @ e_3))),
% 0.49/0.76 inference('sat_resolution*', [status(thm)], ['0', '1', '2'])).
% 0.49/0.76 thf(zip_derived_cl113, plain, ( (product @ e_1 @ e_2 @ e_3)),
% 0.49/0.76 inference('simpl_trail', [status(thm)], [zip_derived_cl110, '3'])).
% 0.49/0.76 thf(qg3, conjecture,
% 0.49/0.76 (~( ( product @ Z1 @ Z2 @ X ) | ( ~( product @ Y @ X @ Z2 ) ) |
% 0.49/0.76 ( ~( product @ X @ Y @ Z1 ) ) ))).
% 0.49/0.76 thf(zf_stmt_0, negated_conjecture,
% 0.49/0.76 (( product @ Z1 @ Z2 @ X ) | ( ~( product @ Y @ X @ Z2 ) ) |
% 0.49/0.76 ( ~( product @ X @ Y @ Z1 ) )),
% 0.49/0.76 inference('cnf.neg', [status(esa)], [qg3])).
% 0.49/0.76 thf(zip_derived_cl14, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.76 ( (product @ X0 @ X1 @ X2)
% 0.49/0.76 | ~ (product @ X3 @ X2 @ X1)
% 0.49/0.76 | ~ (product @ X2 @ X3 @ X0))),
% 0.49/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.76 thf(zip_derived_cl117, plain,
% 0.49/0.76 (![X0 : $i]: ( (product @ X0 @ e_3 @ e_2) | ~ (product @ e_2 @ e_1 @ X0))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl14])).
% 0.49/0.76 thf(zip_derived_cl143, plain,
% 0.49/0.76 (( (product @ e_3 @ e_3 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl117])).
% 0.49/0.76 thf(zip_derived_cl13, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.49/0.76 inference('cnf', [status(esa)], [product_idempotence])).
% 0.49/0.76 thf(product_total_function2, axiom,
% 0.49/0.76 (( ~( product @ X @ Y @ W ) ) | ( ~( product @ X @ Y @ Z ) ) |
% 0.49/0.76 ( equalish @ W @ Z ))).
% 0.49/0.76 thf(zip_derived_cl10, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.76 (~ (product @ X0 @ X1 @ X2)
% 0.49/0.76 | ~ (product @ X0 @ X1 @ X3)
% 0.49/0.76 | (equalish @ X2 @ X3))),
% 0.49/0.76 inference('cnf', [status(esa)], [product_total_function2])).
% 0.49/0.76 thf(zip_derived_cl15, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i]:
% 0.49/0.76 (~ (product @ X0 @ X0 @ X1) | (equalish @ X0 @ X1))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl10])).
% 0.49/0.76 thf(zip_derived_cl150, plain,
% 0.49/0.76 (( (equalish @ e_3 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_3)))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl15])).
% 0.49/0.76 thf(e_3_is_not_e_2, axiom, (~( equalish @ e_3 @ e_2 ))).
% 0.49/0.76 thf(zip_derived_cl8, plain, (~ (equalish @ e_3 @ e_2)),
% 0.49/0.76 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 0.49/0.76 thf('4', plain, (~ ( (product @ e_2 @ e_1 @ e_3))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl8])).
% 0.49/0.76 thf(zip_derived_cl137, plain,
% 0.49/0.76 (( (product @ e_2 @ e_1 @ e_2)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 0.49/0.76 inference('split', [status(esa)], [zip_derived_cl54])).
% 0.49/0.76 thf(zip_derived_cl17, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i]:
% 0.49/0.76 (~ (product @ X0 @ X1 @ X0) | (equalish @ X0 @ X1))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl11])).
% 0.49/0.76 thf(zip_derived_cl159, plain,
% 0.49/0.76 (( (equalish @ e_2 @ e_1)) <= (( (product @ e_2 @ e_1 @ e_2)))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl137, zip_derived_cl17])).
% 0.49/0.76 thf(zip_derived_cl5, plain, (~ (equalish @ e_2 @ e_1)),
% 0.49/0.76 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 0.49/0.76 thf('5', plain, (~ ( (product @ e_2 @ e_1 @ e_2))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl5])).
% 0.49/0.76 thf('6', plain,
% 0.49/0.76 (( (product @ e_2 @ e_1 @ e_1)) | ( (product @ e_2 @ e_1 @ e_2)) |
% 0.49/0.76 ( (product @ e_2 @ e_1 @ e_3))),
% 0.49/0.76 inference('split', [status(esa)], [zip_derived_cl54])).
% 0.49/0.76 thf('7', plain, (( (product @ e_2 @ e_1 @ e_1))),
% 0.49/0.76 inference('sat_resolution*', [status(thm)], ['4', '5', '6'])).
% 0.49/0.76 thf(zip_derived_cl171, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 0.49/0.76 inference('simpl_trail', [status(thm)], [zip_derived_cl138, '7'])).
% 0.49/0.76 thf(zip_derived_cl29, plain,
% 0.49/0.76 (![X0 : $i, X1 : $i]:
% 0.49/0.76 (~ (product @ X1 @ X0 @ X0) | (equalish @ X0 @ X1))),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl12])).
% 0.49/0.76 thf(zip_derived_cl176, plain, ( (equalish @ e_1 @ e_2)),
% 0.49/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl29])).
% 0.49/0.76 thf(zip_derived_cl178, plain, ($false),
% 0.49/0.76 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl176])).
% 0.49/0.76
% 0.49/0.76 % SZS output end Refutation
% 0.49/0.76
% 0.49/0.76
% 0.49/0.76 % Terminating...
% 0.49/0.81 % Runner terminated.
% 0.49/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------