TSTP Solution File: GRP123-2.003 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dIQOiZjOO5 true
% Computer : n026.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 Aug 31 01:50:01 EDT 2023
% Result : Unsatisfiable 0.85s 0.80s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dIQOiZjOO5 true
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 20:26:05 EDT 2023
% 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
% 0.20/0.36 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.85/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.85/0.80 % Solved by fo/fo7.sh.
% 0.85/0.80 % done 77 iterations in 0.034s
% 0.85/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.85/0.80 % SZS output start Refutation
% 0.85/0.80 thf(product_type, type, product: $i > $i > $i > $o).
% 0.85/0.80 thf(e_3_type, type, e_3: $i).
% 0.85/0.80 thf(e_2_type, type, e_2: $i).
% 0.85/0.80 thf(e_1_type, type, e_1: $i).
% 0.85/0.80 thf(group_element_type, type, group_element: $i > $o).
% 0.85/0.80 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.85/0.80 thf(product_idempotence, axiom, (product @ X @ X @ X)).
% 0.85/0.80 thf(zip_derived_cl19, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.85/0.80 inference('cnf', [status(esa)], [product_idempotence])).
% 0.85/0.80 thf(product_total_function1, axiom,
% 0.85/0.80 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.85/0.80 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ) |
% 0.85/0.80 ( product @ X @ Y @ e_3 ))).
% 0.85/0.80 thf(zip_derived_cl15, plain,
% 0.85/0.80 (![X0 : $i, X1 : $i]:
% 0.85/0.80 (~ (group_element @ X0)
% 0.85/0.80 | ~ (group_element @ X1)
% 0.85/0.80 | (product @ X0 @ X1 @ e_1)
% 0.85/0.80 | (product @ X0 @ X1 @ e_2)
% 0.85/0.80 | (product @ X0 @ X1 @ e_3))),
% 0.85/0.80 inference('cnf', [status(esa)], [product_total_function1])).
% 0.85/0.80 thf(zip_derived_cl19, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.85/0.80 inference('cnf', [status(esa)], [product_idempotence])).
% 0.85/0.80 thf(product_left_cancellation, axiom,
% 0.85/0.80 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 0.85/0.80 ( equalish @ W @ Z ))).
% 0.85/0.80 thf(zip_derived_cl18, plain,
% 0.85/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.85/0.80 (~ (product @ X0 @ X1 @ X2)
% 0.85/0.80 | ~ (product @ X3 @ X1 @ X2)
% 0.85/0.80 | (equalish @ X0 @ X3))),
% 0.85/0.80 inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.85/0.80 thf(zip_derived_cl28, plain,
% 0.85/0.80 (![X0 : $i, X1 : $i]:
% 0.85/0.80 ( (equalish @ X0 @ X1) | ~ (product @ X1 @ X0 @ X0))),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl18])).
% 0.85/0.80 thf(e_3_is_not_e_2, axiom, (~( equalish @ e_3 @ e_2 ))).
% 0.85/0.80 thf(zip_derived_cl14, plain, (~ (equalish @ e_3 @ e_2)),
% 0.85/0.80 inference('cnf', [status(esa)], [e_3_is_not_e_2])).
% 0.85/0.80 thf(zip_derived_cl49, plain, (~ (product @ e_2 @ e_3 @ e_3)),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl14])).
% 0.85/0.80 thf(zip_derived_cl80, plain,
% 0.85/0.80 (( (product @ e_2 @ e_3 @ e_2)
% 0.85/0.80 | (product @ e_2 @ e_3 @ e_1)
% 0.85/0.80 | ~ (group_element @ e_3)
% 0.85/0.80 | ~ (group_element @ e_2))),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl49])).
% 0.85/0.80 thf(element_3, axiom, (group_element @ e_3)).
% 0.85/0.80 thf(zip_derived_cl8, plain, ( (group_element @ e_3)),
% 0.85/0.80 inference('cnf', [status(esa)], [element_3])).
% 0.85/0.80 thf(element_2, axiom, (group_element @ e_2)).
% 0.85/0.80 thf(zip_derived_cl7, plain, ( (group_element @ e_2)),
% 0.85/0.80 inference('cnf', [status(esa)], [element_2])).
% 0.85/0.80 thf(zip_derived_cl87, plain,
% 0.85/0.80 (( (product @ e_2 @ e_3 @ e_2) | (product @ e_2 @ e_3 @ e_1))),
% 0.85/0.80 inference('demod', [status(thm)],
% 0.85/0.80 [zip_derived_cl80, zip_derived_cl8, zip_derived_cl7])).
% 0.85/0.80 thf(zip_derived_cl19, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 0.85/0.80 inference('cnf', [status(esa)], [product_idempotence])).
% 0.85/0.80 thf(product_right_cancellation, axiom,
% 0.85/0.80 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 0.85/0.80 ( equalish @ W @ Z ))).
% 0.85/0.80 thf(zip_derived_cl17, plain,
% 0.85/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.85/0.80 (~ (product @ X0 @ X1 @ X2)
% 0.85/0.80 | ~ (product @ X0 @ X3 @ X2)
% 0.85/0.80 | (equalish @ X1 @ X3))),
% 0.85/0.80 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.85/0.80 thf(zip_derived_cl25, plain,
% 0.85/0.80 (![X0 : $i, X1 : $i]:
% 0.85/0.80 ( (equalish @ X0 @ X1) | ~ (product @ X0 @ X1 @ X0))),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl17])).
% 0.85/0.80 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 0.85/0.80 thf(zip_derived_cl12, plain, (~ (equalish @ e_2 @ e_3)),
% 0.85/0.80 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 0.85/0.80 thf(zip_derived_cl41, plain, (~ (product @ e_2 @ e_3 @ e_2)),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl12])).
% 0.85/0.80 thf(zip_derived_cl139, plain, ( (product @ e_2 @ e_3 @ e_1)),
% 0.85/0.80 inference('clc', [status(thm)], [zip_derived_cl87, zip_derived_cl41])).
% 0.85/0.80 thf(qg1_1, conjecture,
% 0.85/0.80 (~( ( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.85/0.80 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.85/0.80 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.85/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.85/0.80 (( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.85/0.80 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.85/0.80 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.85/0.80 inference('cnf.neg', [status(esa)], [qg1_1])).
% 0.85/0.80 thf(zip_derived_cl20, plain,
% 0.85/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.85/0.80 ( (equalish @ X0 @ X1)
% 0.85/0.80 | ~ (product @ X2 @ X3 @ X1)
% 0.85/0.80 | ~ (product @ X2 @ X4 @ X0)
% 0.85/0.80 | ~ (product @ X1 @ X3 @ X5)
% 0.85/0.80 | ~ (product @ X0 @ X4 @ X5))),
% 0.85/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.85/0.80 thf(zip_derived_cl52, plain,
% 0.85/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.85/0.80 (~ (product @ X3 @ X2 @ X0)
% 0.85/0.80 | ~ (product @ X0 @ X1 @ X0)
% 0.85/0.80 | ~ (product @ X0 @ X2 @ X3)
% 0.85/0.80 | (equalish @ X3 @ X0))),
% 0.85/0.80 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 0.85/0.80 thf(zip_derived_cl147, plain,
% 0.85/0.80 (![X0 : $i]:
% 0.85/0.80 ( (equalish @ e_2 @ e_1)
% 0.85/0.80 | ~ (product @ e_1 @ e_3 @ e_2)
% 0.85/0.80 | ~ (product @ e_1 @ X0 @ e_1))),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl52])).
% 0.85/0.80 thf(zip_derived_cl15, plain,
% 0.85/0.80 (![X0 : $i, X1 : $i]:
% 0.85/0.80 (~ (group_element @ X0)
% 0.85/0.80 | ~ (group_element @ X1)
% 0.85/0.80 | (product @ X0 @ X1 @ e_1)
% 0.85/0.80 | (product @ X0 @ X1 @ e_2)
% 0.85/0.80 | (product @ X0 @ X1 @ e_3))),
% 0.85/0.80 inference('cnf', [status(esa)], [product_total_function1])).
% 0.85/0.80 thf(zip_derived_cl28, plain,
% 0.85/0.80 (![X0 : $i, X1 : $i]:
% 0.85/0.80 ( (equalish @ X0 @ X1) | ~ (product @ X1 @ X0 @ X0))),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl18])).
% 0.85/0.80 thf(e_3_is_not_e_1, axiom, (~( equalish @ e_3 @ e_1 ))).
% 0.85/0.80 thf(zip_derived_cl13, plain, (~ (equalish @ e_3 @ e_1)),
% 0.85/0.80 inference('cnf', [status(esa)], [e_3_is_not_e_1])).
% 0.85/0.80 thf(zip_derived_cl48, plain, (~ (product @ e_1 @ e_3 @ e_3)),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl13])).
% 0.85/0.80 thf(zip_derived_cl78, plain,
% 0.85/0.80 (( (product @ e_1 @ e_3 @ e_2)
% 0.85/0.80 | (product @ e_1 @ e_3 @ e_1)
% 0.85/0.80 | ~ (group_element @ e_3)
% 0.85/0.80 | ~ (group_element @ e_1))),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl48])).
% 0.85/0.80 thf(zip_derived_cl25, plain,
% 0.85/0.80 (![X0 : $i, X1 : $i]:
% 0.85/0.80 ( (equalish @ X0 @ X1) | ~ (product @ X0 @ X1 @ X0))),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl17])).
% 0.85/0.80 thf(e_1_is_not_e_3, axiom, (~( equalish @ e_1 @ e_3 ))).
% 0.85/0.80 thf(zip_derived_cl10, plain, (~ (equalish @ e_1 @ e_3)),
% 0.85/0.80 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 0.85/0.80 thf(zip_derived_cl39, plain, (~ (product @ e_1 @ e_3 @ e_1)),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl10])).
% 0.85/0.80 thf(zip_derived_cl8, plain, ( (group_element @ e_3)),
% 0.85/0.80 inference('cnf', [status(esa)], [element_3])).
% 0.85/0.80 thf(element_1, axiom, (group_element @ e_1)).
% 0.85/0.80 thf(zip_derived_cl6, plain, ( (group_element @ e_1)),
% 0.85/0.80 inference('cnf', [status(esa)], [element_1])).
% 0.85/0.80 thf(zip_derived_cl85, plain, ( (product @ e_1 @ e_3 @ e_2)),
% 0.85/0.80 inference('demod', [status(thm)],
% 0.85/0.80 [zip_derived_cl78, zip_derived_cl39, zip_derived_cl8,
% 0.85/0.80 zip_derived_cl6])).
% 0.85/0.80 thf(zip_derived_cl149, plain,
% 0.85/0.80 (![X0 : $i]: ( (equalish @ e_2 @ e_1) | ~ (product @ e_1 @ X0 @ e_1))),
% 0.85/0.80 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl85])).
% 0.85/0.80 thf(e_2_is_not_e_1, axiom, (~( equalish @ e_2 @ e_1 ))).
% 0.85/0.80 thf(zip_derived_cl11, plain, (~ (equalish @ e_2 @ e_1)),
% 0.85/0.80 inference('cnf', [status(esa)], [e_2_is_not_e_1])).
% 0.85/0.80 thf(zip_derived_cl163, plain, (![X0 : $i]: ~ (product @ e_1 @ X0 @ e_1)),
% 0.85/0.80 inference('clc', [status(thm)], [zip_derived_cl149, zip_derived_cl11])).
% 0.85/0.80 thf(zip_derived_cl164, plain, ($false),
% 0.85/0.80 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl163])).
% 0.85/0.80
% 0.85/0.80 % SZS output end Refutation
% 0.85/0.80
% 0.85/0.80
% 0.85/0.80 % Terminating...
% 1.48/0.85 % Runner terminated.
% 1.48/0.86 % Zipperpin 1.5 exiting
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