TSTP Solution File: GRP123-1.003 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP123-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ugV0E8zLVH 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 Aug 31 01:50:01 EDT 2023
% Result : Unsatisfiable 1.52s 0.85s
% Output : Refutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : GRP123-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.14/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ugV0E8zLVH true
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Aug 28 19:44:53 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % Running portfolio for 300 s
% 0.16/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.38 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.24/0.66 % Total configuration time : 435
% 0.24/0.66 % Estimated wc time : 1092
% 0.24/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.52/0.85 % Solved by fo/fo3_bce.sh.
% 1.52/0.85 % BCE start: 16
% 1.52/0.85 % BCE eliminated: 0
% 1.52/0.85 % PE start: 16
% 1.52/0.85 logic: neq
% 1.52/0.85 % PE eliminated: -19
% 1.52/0.85 % done 77 iterations in 0.060s
% 1.52/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.52/0.85 % SZS output start Refutation
% 1.52/0.85 thf(e_1_type, type, e_1: $i).
% 1.52/0.85 thf(e_3_type, type, e_3: $i).
% 1.52/0.85 thf(group_element_type, type, group_element: $i > $o).
% 1.52/0.85 thf(e_2_type, type, e_2: $i).
% 1.52/0.85 thf(product_type, type, product: $i > $i > $i > $o).
% 1.52/0.85 thf(equalish_type, type, equalish: $i > $i > $o).
% 1.52/0.85 thf(product_left_cancellation, axiom,
% 1.52/0.85 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 1.52/0.85 ( equalish @ W @ Z ))).
% 1.52/0.85 thf(zip_derived_cl12, plain,
% 1.52/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.52/0.85 (~ (product @ X0 @ X1 @ X2)
% 1.52/0.85 | ~ (product @ X3 @ X1 @ X2)
% 1.52/0.85 | (equalish @ X0 @ X3))),
% 1.52/0.85 inference('cnf', [status(esa)], [product_left_cancellation])).
% 1.52/0.85 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 1.52/0.85 thf(zip_derived_cl3, plain, (~ (equalish @ e_1 @ e_2)),
% 1.52/0.85 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 1.52/0.85 thf(zip_derived_cl28, plain,
% 1.52/0.85 (![X0 : $i, X1 : $i]:
% 1.52/0.85 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.52/0.85 inference('dp-resolution', [status(thm)],
% 1.52/0.85 [zip_derived_cl12, zip_derived_cl3])).
% 1.52/0.85 thf(product_total_function1, axiom,
% 1.52/0.85 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 1.52/0.85 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ) |
% 1.52/0.85 ( product @ X @ Y @ e_3 ))).
% 1.52/0.85 thf(zip_derived_cl9, plain,
% 1.52/0.85 (![X0 : $i, X1 : $i]:
% 1.52/0.85 (~ (group_element @ X0)
% 1.52/0.85 | ~ (group_element @ X1)
% 1.52/0.85 | (product @ X0 @ X1 @ e_1)
% 1.52/0.85 | (product @ X0 @ X1 @ e_2)
% 1.52/0.85 | (product @ X0 @ X1 @ e_3))),
% 1.52/0.85 inference('cnf', [status(esa)], [product_total_function1])).
% 1.52/0.85 thf(zip_derived_cl12, plain,
% 1.52/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.52/0.85 (~ (product @ X0 @ X1 @ X2)
% 1.52/0.85 | ~ (product @ X3 @ X1 @ X2)
% 1.52/0.85 | (equalish @ X0 @ X3))),
% 1.52/0.85 inference('cnf', [status(esa)], [product_left_cancellation])).
% 1.52/0.85 thf(e_1_is_not_e_3, axiom, (~( equalish @ e_1 @ e_3 ))).
% 1.52/0.85 thf(zip_derived_cl4, plain, (~ (equalish @ e_1 @ e_3)),
% 1.52/0.85 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 1.52/0.85 thf(zip_derived_cl29, plain,
% 1.52/0.85 (![X0 : $i, X1 : $i]:
% 1.52/0.85 (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.52/0.85 inference('dp-resolution', [status(thm)],
% 1.52/0.85 [zip_derived_cl12, zip_derived_cl4])).
% 1.52/0.85 thf(product_idempotence, axiom, (product @ X @ X @ X)).
% 1.52/0.85 thf(zip_derived_cl13, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 1.52/0.85 inference('cnf', [status(esa)], [product_idempotence])).
% 1.52/0.85 thf(qg1_1, conjecture,
% 1.52/0.85 (~( ( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 1.52/0.85 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 1.52/0.85 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 1.52/0.85 thf(zf_stmt_0, negated_conjecture,
% 1.52/0.85 (( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 1.52/0.85 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 1.52/0.85 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 1.52/0.85 inference('cnf.neg', [status(esa)], [qg1_1])).
% 1.52/0.85 thf(zip_derived_cl14, plain,
% 1.52/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.52/0.86 ( (equalish @ X0 @ X1)
% 1.52/0.86 | ~ (product @ X2 @ X3 @ X1)
% 1.52/0.86 | ~ (product @ X2 @ X4 @ X0)
% 1.52/0.86 | ~ (product @ X1 @ X3 @ X5)
% 1.52/0.86 | ~ (product @ X0 @ X4 @ X5))),
% 1.52/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.52/0.86 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 1.52/0.86 thf(zip_derived_cl6, plain, (~ (equalish @ e_2 @ e_3)),
% 1.52/0.86 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 1.52/0.86 thf(zip_derived_cl37, plain,
% 1.52/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.52/0.86 (~ (product @ e_2 @ X1 @ X0)
% 1.52/0.86 | ~ (product @ e_3 @ X2 @ X0)
% 1.52/0.86 | ~ (product @ X3 @ X1 @ e_2)
% 1.52/0.86 | ~ (product @ X3 @ X2 @ e_3))),
% 1.52/0.86 inference('dp-resolution', [status(thm)],
% 1.52/0.86 [zip_derived_cl14, zip_derived_cl6])).
% 1.52/0.86 thf(zip_derived_cl169, plain,
% 1.52/0.86 (![X0 : $i, X1 : $i]:
% 1.52/0.86 (~ (product @ e_2 @ X1 @ e_3)
% 1.52/0.86 | ~ (product @ e_2 @ X0 @ e_2)
% 1.52/0.86 | ~ (product @ e_3 @ X1 @ e_2))),
% 1.52/0.86 inference('eq_fact', [status(thm)], [zip_derived_cl37])).
% 1.52/0.86 thf(zip_derived_cl189, plain,
% 1.52/0.86 (![X0 : $i]:
% 1.52/0.86 (~ (product @ e_3 @ X0 @ e_2) | ~ (product @ e_2 @ X0 @ e_3))),
% 1.52/0.86 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl169])).
% 1.52/0.86 thf(zip_derived_cl9, plain,
% 1.52/0.86 (![X0 : $i, X1 : $i]:
% 1.52/0.86 (~ (group_element @ X0)
% 1.52/0.86 | ~ (group_element @ X1)
% 1.52/0.86 | (product @ X0 @ X1 @ e_1)
% 1.52/0.86 | (product @ X0 @ X1 @ e_2)
% 1.52/0.86 | (product @ X0 @ X1 @ e_3))),
% 1.52/0.86 inference('cnf', [status(esa)], [product_total_function1])).
% 1.52/0.86 thf(product_right_cancellation, axiom,
% 1.52/0.86 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 1.52/0.86 ( equalish @ W @ Z ))).
% 1.52/0.86 thf(zip_derived_cl11, plain,
% 1.52/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.52/0.86 (~ (product @ X0 @ X1 @ X2)
% 1.52/0.86 | ~ (product @ X0 @ X3 @ X2)
% 1.52/0.86 | (equalish @ X1 @ X3))),
% 1.52/0.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 1.52/0.86 thf(zip_derived_cl4, plain, (~ (equalish @ e_1 @ e_3)),
% 1.52/0.86 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 1.52/0.86 thf(zip_derived_cl23, plain,
% 1.52/0.86 (![X0 : $i, X1 : $i]:
% 1.52/0.86 (~ (product @ X1 @ e_3 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.52/0.86 inference('dp-resolution', [status(thm)],
% 1.52/0.86 [zip_derived_cl11, zip_derived_cl4])).
% 1.52/0.86 thf(zip_derived_cl13, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 1.52/0.86 inference('cnf', [status(esa)], [product_idempotence])).
% 1.52/0.86 thf(zip_derived_cl66, plain, (~ (product @ e_3 @ e_1 @ e_3)),
% 1.52/0.86 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl13])).
% 1.52/0.86 thf(zip_derived_cl79, plain,
% 1.52/0.86 (( (product @ e_3 @ e_1 @ e_2)
% 1.52/0.86 | (product @ e_3 @ e_1 @ e_1)
% 1.52/0.86 | ~ (group_element @ e_1)
% 1.52/0.86 | ~ (group_element @ e_3))),
% 1.52/0.86 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl66])).
% 1.52/0.86 thf(element_1, axiom, (group_element @ e_1)).
% 1.52/0.86 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 1.52/0.86 inference('cnf', [status(esa)], [element_1])).
% 1.52/0.86 thf(element_3, axiom, (group_element @ e_3)).
% 1.52/0.86 thf(zip_derived_cl2, plain, ( (group_element @ e_3)),
% 1.52/0.86 inference('cnf', [status(esa)], [element_3])).
% 1.52/0.86 thf(zip_derived_cl80, plain,
% 1.52/0.86 (( (product @ e_3 @ e_1 @ e_2) | (product @ e_3 @ e_1 @ e_1))),
% 1.52/0.86 inference('demod', [status(thm)],
% 1.52/0.86 [zip_derived_cl79, zip_derived_cl0, zip_derived_cl2])).
% 1.52/0.86 thf(zip_derived_cl193, plain,
% 1.52/0.86 ((~ (product @ e_2 @ e_1 @ e_3) | (product @ e_3 @ e_1 @ e_1))),
% 1.52/0.86 inference('sup+', [status(thm)], [zip_derived_cl189, zip_derived_cl80])).
% 1.52/0.86 thf(zip_derived_cl203, plain,
% 1.52/0.86 ((~ (product @ e_1 @ e_1 @ e_1) | ~ (product @ e_2 @ e_1 @ e_3))),
% 1.52/0.86 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl193])).
% 1.52/0.86 thf(zip_derived_cl13, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 1.52/0.86 inference('cnf', [status(esa)], [product_idempotence])).
% 1.52/0.86 thf(zip_derived_cl206, plain, (~ (product @ e_2 @ e_1 @ e_3)),
% 1.52/0.86 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl13])).
% 1.52/0.86 thf(zip_derived_cl209, plain,
% 1.52/0.86 (( (product @ e_2 @ e_1 @ e_2)
% 1.52/0.86 | (product @ e_2 @ e_1 @ e_1)
% 1.52/0.86 | ~ (group_element @ e_1)
% 1.52/0.86 | ~ (group_element @ e_2))),
% 1.52/0.86 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl206])).
% 1.52/0.86 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 1.52/0.86 inference('cnf', [status(esa)], [element_1])).
% 1.52/0.86 thf(element_2, axiom, (group_element @ e_2)).
% 1.52/0.86 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 1.52/0.86 inference('cnf', [status(esa)], [element_2])).
% 1.52/0.86 thf(zip_derived_cl210, plain,
% 1.52/0.86 (( (product @ e_2 @ e_1 @ e_2) | (product @ e_2 @ e_1 @ e_1))),
% 1.52/0.86 inference('demod', [status(thm)],
% 1.52/0.86 [zip_derived_cl209, zip_derived_cl0, zip_derived_cl1])).
% 1.52/0.86 thf(zip_derived_cl11, plain,
% 1.52/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.52/0.86 (~ (product @ X0 @ X1 @ X2)
% 1.52/0.86 | ~ (product @ X0 @ X3 @ X2)
% 1.52/0.86 | (equalish @ X1 @ X3))),
% 1.52/0.86 inference('cnf', [status(esa)], [product_right_cancellation])).
% 1.52/0.86 thf(zip_derived_cl3, plain, (~ (equalish @ e_1 @ e_2)),
% 1.52/0.86 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 1.52/0.86 thf(zip_derived_cl22, plain,
% 1.52/0.86 (![X0 : $i, X1 : $i]:
% 1.52/0.86 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 1.52/0.86 inference('dp-resolution', [status(thm)],
% 1.52/0.86 [zip_derived_cl11, zip_derived_cl3])).
% 1.52/0.86 thf(zip_derived_cl13, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 1.52/0.86 inference('cnf', [status(esa)], [product_idempotence])).
% 1.52/0.86 thf(zip_derived_cl56, plain, (~ (product @ e_2 @ e_1 @ e_2)),
% 1.52/0.86 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl13])).
% 1.52/0.86 thf(zip_derived_cl227, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 1.52/0.86 inference('clc', [status(thm)], [zip_derived_cl210, zip_derived_cl56])).
% 1.52/0.86 thf(zip_derived_cl231, plain, (~ (product @ e_1 @ e_1 @ e_1)),
% 1.52/0.86 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl227])).
% 1.52/0.86 thf(zip_derived_cl13, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 1.52/0.86 inference('cnf', [status(esa)], [product_idempotence])).
% 1.52/0.86 thf(zip_derived_cl233, plain, ($false),
% 1.52/0.86 inference('demod', [status(thm)], [zip_derived_cl231, zip_derived_cl13])).
% 1.52/0.86
% 1.52/0.86 % SZS output end Refutation
% 1.52/0.86
% 1.52/0.86
% 1.53/0.86 % Terminating...
% 1.90/0.97 % Runner terminated.
% 1.90/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------