%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP135-1.002 : 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.mUJYQsDFff true
% Computer : n022.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 04:35:48 PM UTC 2025
% Result : Unsatisfiable 0.52s 0.70s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP135-1.002 : TPTP v9.2.0. Released v1.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mUJYQsDFff true
% 0.13/0.34 % Computer : n022.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 14:08:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.51/0.58 % Total configuration time : 435
% 0.51/0.58 % Estimated wc time : 1092
% 0.51/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.70 % Solved by fo/fo6_bce.sh.
% 0.52/0.70 % BCE start: 9
% 0.52/0.70 % BCE eliminated: 0
% 0.52/0.70 % PE start: 9
% 0.52/0.70 logic: neq
% 0.52/0.70 % PE eliminated: -1
% 0.52/0.70 % done 33 iterations in 0.024s
% 0.52/0.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.70 % SZS output start Refutation
% 0.52/0.70 thf(e_1_type, type, e_1: $i).
% 0.52/0.70 thf(group_element_type, type, group_element: $i > $o).
% 0.52/0.70 thf(e_2_type, type, e_2: $i).
% 0.52/0.70 thf(product_type, type, product: $i > $i > $i > $o).
% 0.52/0.70 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.52/0.70 thf(product_total_function1, axiom,
% 0.52/0.70 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.52/0.70 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ))).
% 0.52/0.70 thf(zip_derived_cl4, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (group_element @ X0)
% 0.52/0.70 | ~ (group_element @ X1)
% 0.52/0.70 | (product @ X0 @ X1 @ e_1)
% 0.52/0.70 | (product @ X0 @ X1 @ e_2))),
% 0.52/0.70 inference('cnf', [status(esa)], [product_total_function1])).
% 0.52/0.70 thf(product_right_cancellation, axiom,
% 0.52/0.70 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 0.52/0.70 ( equalish @ W @ Z ))).
% 0.52/0.70 thf(zip_derived_cl6, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.52/0.70 (~ (product @ X0 @ X1 @ X2)
% 0.52/0.70 | ~ (product @ X0 @ X3 @ X2)
% 0.52/0.70 | (equalish @ X1 @ X3))),
% 0.52/0.70 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.52/0.70 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.52/0.70 thf(zip_derived_cl2, plain, (~ (equalish @ e_1 @ e_2)),
% 0.52/0.70 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.52/0.70 thf(zip_derived_cl11, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.52/0.70 inference('dp-resolution', [status(thm)],
% 0.52/0.70 [zip_derived_cl6, zip_derived_cl2])).
% 0.52/0.70 thf(zip_derived_cl19, plain,
% 0.52/0.70 (![X0 : $i]:
% 0.52/0.70 ( (product @ X0 @ e_2 @ e_1)
% 0.52/0.70 | ~ (group_element @ e_2)
% 0.52/0.70 | ~ (group_element @ X0)
% 0.52/0.70 | ~ (product @ X0 @ e_1 @ e_2))),
% 0.52/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 0.52/0.70 thf(element_2, axiom, (group_element @ e_2)).
% 0.52/0.70 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_2])).
% 0.52/0.70 thf(zip_derived_cl20, plain,
% 0.52/0.70 (![X0 : $i]:
% 0.52/0.70 ( (product @ X0 @ e_2 @ e_1)
% 0.52/0.70 | ~ (group_element @ X0)
% 0.52/0.70 | ~ (product @ X0 @ e_1 @ e_2))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 0.52/0.70 thf(qg3, conjecture,
% 0.52/0.70 (~( ( product @ Z2 @ Y @ X ) | ( ~( product @ Z1 @ Y @ Z2 ) ) |
% 0.52/0.70 ( ~( product @ Y @ X @ Z1 ) ) ))).
% 0.52/0.70 thf(zf_stmt_0, negated_conjecture,
% 0.52/0.70 (( product @ Z2 @ Y @ X ) | ( ~( product @ Z1 @ Y @ Z2 ) ) |
% 0.52/0.70 ( ~( product @ Y @ X @ Z1 ) )),
% 0.52/0.70 inference('cnf.neg', [status(esa)], [qg3])).
% 0.52/0.70 thf(zip_derived_cl8, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.52/0.70 ( (product @ X0 @ X1 @ X2)
% 0.52/0.70 | ~ (product @ X3 @ X1 @ X0)
% 0.52/0.70 | ~ (product @ X1 @ X2 @ X3))),
% 0.52/0.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.52/0.70 thf(zip_derived_cl23, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (product @ X0 @ e_1 @ e_2)
% 0.52/0.70 | ~ (group_element @ X0)
% 0.52/0.70 | (product @ e_1 @ e_2 @ X1)
% 0.52/0.70 | ~ (product @ e_2 @ X1 @ X0))),
% 0.52/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl8])).
% 0.52/0.70 thf(zip_derived_cl47, plain,
% 0.52/0.70 ((~ (product @ e_2 @ e_1 @ e_2)
% 0.52/0.70 | (product @ e_1 @ e_2 @ e_1)
% 0.52/0.70 | ~ (group_element @ e_2))),
% 0.52/0.70 inference('eq_fact', [status(thm)], [zip_derived_cl23])).
% 0.52/0.70 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_2])).
% 0.52/0.70 thf(zip_derived_cl48, plain,
% 0.52/0.70 ((~ (product @ e_2 @ e_1 @ e_2) | (product @ e_1 @ e_2 @ e_1))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 0.52/0.70 thf(zip_derived_cl20, plain,
% 0.52/0.70 (![X0 : $i]:
% 0.52/0.70 ( (product @ X0 @ e_2 @ e_1)
% 0.52/0.70 | ~ (group_element @ X0)
% 0.52/0.70 | ~ (product @ X0 @ e_1 @ e_2))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 0.52/0.70 thf(product_left_cancellation, axiom,
% 0.52/0.70 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 0.52/0.70 ( equalish @ W @ Z ))).
% 0.52/0.70 thf(zip_derived_cl7, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.52/0.70 (~ (product @ X0 @ X1 @ X2)
% 0.52/0.70 | ~ (product @ X3 @ X1 @ X2)
% 0.52/0.70 | (equalish @ X0 @ X3))),
% 0.52/0.70 inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.52/0.70 thf(zip_derived_cl2, plain, (~ (equalish @ e_1 @ e_2)),
% 0.52/0.70 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.52/0.70 thf(zip_derived_cl13, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.52/0.70 inference('dp-resolution', [status(thm)],
% 0.52/0.70 [zip_derived_cl7, zip_derived_cl2])).
% 0.52/0.70 thf(zip_derived_cl25, plain,
% 0.52/0.70 ((~ (product @ e_2 @ e_1 @ e_2)
% 0.52/0.70 | ~ (group_element @ e_2)
% 0.52/0.70 | ~ (product @ e_1 @ e_2 @ e_1))),
% 0.52/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl13])).
% 0.52/0.70 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_2])).
% 0.52/0.70 thf(zip_derived_cl26, plain,
% 0.52/0.70 ((~ (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_1))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 0.52/0.70 thf(zip_derived_cl96, plain, (~ (product @ e_2 @ e_1 @ e_2)),
% 0.52/0.70 inference('clc', [status(thm)], [zip_derived_cl48, zip_derived_cl26])).
% 0.52/0.70 thf(zip_derived_cl4, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (group_element @ X0)
% 0.52/0.70 | ~ (group_element @ X1)
% 0.52/0.70 | (product @ X0 @ X1 @ e_1)
% 0.52/0.70 | (product @ X0 @ X1 @ e_2))),
% 0.52/0.70 inference('cnf', [status(esa)], [product_total_function1])).
% 0.52/0.70 thf(zip_derived_cl4, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (group_element @ X0)
% 0.52/0.70 | ~ (group_element @ X1)
% 0.52/0.70 | (product @ X0 @ X1 @ e_1)
% 0.52/0.70 | (product @ X0 @ X1 @ e_2))),
% 0.52/0.70 inference('cnf', [status(esa)], [product_total_function1])).
% 0.52/0.70 thf(zip_derived_cl13, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.52/0.70 inference('dp-resolution', [status(thm)],
% 0.52/0.70 [zip_derived_cl7, zip_derived_cl2])).
% 0.52/0.70 thf(zip_derived_cl21, plain,
% 0.52/0.70 (![X0 : $i]:
% 0.52/0.70 ( (product @ e_2 @ X0 @ e_1)
% 0.52/0.70 | ~ (group_element @ X0)
% 0.52/0.70 | ~ (group_element @ e_2)
% 0.52/0.70 | ~ (product @ e_1 @ X0 @ e_2))),
% 0.52/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl13])).
% 0.52/0.70 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_2])).
% 0.52/0.70 thf(zip_derived_cl22, plain,
% 0.52/0.70 (![X0 : $i]:
% 0.52/0.70 ( (product @ e_2 @ X0 @ e_1)
% 0.52/0.70 | ~ (group_element @ X0)
% 0.52/0.70 | ~ (product @ e_1 @ X0 @ e_2))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 0.52/0.70 thf(zip_derived_cl11, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.52/0.70 inference('dp-resolution', [status(thm)],
% 0.52/0.70 [zip_derived_cl6, zip_derived_cl2])).
% 0.52/0.70 thf(zip_derived_cl53, plain,
% 0.52/0.70 ((~ (product @ e_1 @ e_2 @ e_2)
% 0.52/0.70 | ~ (group_element @ e_2)
% 0.52/0.70 | ~ (product @ e_2 @ e_1 @ e_1))),
% 0.52/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl11])).
% 0.52/0.70 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_2])).
% 0.52/0.70 thf(zip_derived_cl56, plain,
% 0.52/0.70 ((~ (product @ e_1 @ e_2 @ e_2) | ~ (product @ e_2 @ e_1 @ e_1))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl1])).
% 0.52/0.70 thf(zip_derived_cl57, plain,
% 0.52/0.70 (( (product @ e_1 @ e_2 @ e_1)
% 0.52/0.70 | ~ (group_element @ e_2)
% 0.52/0.70 | ~ (group_element @ e_1)
% 0.52/0.70 | ~ (product @ e_2 @ e_1 @ e_1))),
% 0.52/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl56])).
% 0.52/0.70 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_2])).
% 0.52/0.70 thf(element_1, axiom, (group_element @ e_1)).
% 0.52/0.70 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_1])).
% 0.52/0.70 thf(zip_derived_cl58, plain,
% 0.52/0.70 (( (product @ e_1 @ e_2 @ e_1) | ~ (product @ e_2 @ e_1 @ e_1))),
% 0.52/0.70 inference('demod', [status(thm)],
% 0.52/0.70 [zip_derived_cl57, zip_derived_cl1, zip_derived_cl0])).
% 0.52/0.70 thf(zip_derived_cl4, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (group_element @ X0)
% 0.52/0.70 | ~ (group_element @ X1)
% 0.52/0.70 | (product @ X0 @ X1 @ e_1)
% 0.52/0.70 | (product @ X0 @ X1 @ e_2))),
% 0.52/0.70 inference('cnf', [status(esa)], [product_total_function1])).
% 0.52/0.70 thf(zip_derived_cl96, plain, (~ (product @ e_2 @ e_1 @ e_2)),
% 0.52/0.70 inference('clc', [status(thm)], [zip_derived_cl48, zip_derived_cl26])).
% 0.52/0.70 thf(zip_derived_cl97, plain,
% 0.52/0.70 (( (product @ e_2 @ e_1 @ e_1)
% 0.52/0.70 | ~ (group_element @ e_1)
% 0.52/0.70 | ~ (group_element @ e_2))),
% 0.52/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl96])).
% 0.52/0.70 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_1])).
% 0.52/0.70 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_2])).
% 0.52/0.70 thf(zip_derived_cl99, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 0.52/0.70 inference('demod', [status(thm)],
% 0.52/0.70 [zip_derived_cl97, zip_derived_cl0, zip_derived_cl1])).
% 0.52/0.70 thf(zip_derived_cl116, plain, ( (product @ e_1 @ e_2 @ e_1)),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl99])).
% 0.52/0.70 thf(zip_derived_cl4, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (group_element @ X0)
% 0.52/0.70 | ~ (group_element @ X1)
% 0.52/0.70 | (product @ X0 @ X1 @ e_1)
% 0.52/0.70 | (product @ X0 @ X1 @ e_2))),
% 0.52/0.70 inference('cnf', [status(esa)], [product_total_function1])).
% 0.52/0.70 thf(zip_derived_cl8, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.52/0.70 ( (product @ X0 @ X1 @ X2)
% 0.52/0.70 | ~ (product @ X3 @ X1 @ X0)
% 0.52/0.70 | ~ (product @ X1 @ X2 @ X3))),
% 0.52/0.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.52/0.70 thf(zip_derived_cl15, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.70 ( (product @ X1 @ X0 @ e_1)
% 0.52/0.70 | ~ (group_element @ X0)
% 0.52/0.70 | ~ (group_element @ X1)
% 0.52/0.70 | (product @ e_2 @ X0 @ X2)
% 0.52/0.70 | ~ (product @ X0 @ X2 @ X1))),
% 0.52/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl8])).
% 0.52/0.70 thf(zip_derived_cl118, plain,
% 0.52/0.70 (( (product @ e_1 @ e_1 @ e_1)
% 0.52/0.70 | ~ (group_element @ e_1)
% 0.52/0.70 | ~ (group_element @ e_1)
% 0.52/0.70 | (product @ e_2 @ e_1 @ e_2))),
% 0.52/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl15])).
% 0.52/0.70 thf(zip_derived_cl99, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 0.52/0.70 inference('demod', [status(thm)],
% 0.52/0.70 [zip_derived_cl97, zip_derived_cl0, zip_derived_cl1])).
% 0.52/0.70 thf(zip_derived_cl13, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.52/0.70 inference('dp-resolution', [status(thm)],
% 0.52/0.70 [zip_derived_cl7, zip_derived_cl2])).
% 0.52/0.70 thf(zip_derived_cl104, plain, (~ (product @ e_1 @ e_1 @ e_1)),
% 0.52/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl13])).
% 0.52/0.70 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_1])).
% 0.52/0.70 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.52/0.70 inference('cnf', [status(esa)], [element_1])).
% 0.52/0.70 thf(zip_derived_cl120, plain, ( (product @ e_2 @ e_1 @ e_2)),
% 0.52/0.70 inference('demod', [status(thm)],
% 0.52/0.70 [zip_derived_cl118, zip_derived_cl104, zip_derived_cl0,
% 0.52/0.70 zip_derived_cl0])).
% 0.52/0.70 thf(zip_derived_cl135, plain, ($false),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl120])).
% 0.52/0.70
% 0.52/0.70 % SZS output end Refutation
% 0.52/0.70
% 0.52/0.70
% 0.52/0.70 % Terminating...
% 1.54/0.81 % Runner terminated.
% 1.54/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------