TSTP Solution File: GRP131-1.002 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP131-1.002 : 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.WAJFGx6FyN true
% Computer : n029.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 01:50:16 EDT 2023
% Result : Unsatisfiable 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP131-1.002 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WAJFGx6FyN true
% 0.13/0.34 % Computer : n029.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 : Tue Aug 29 02:05:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % Solved by fo/fo6_bce.sh.
% 0.56/0.74 % BCE start: 10
% 0.56/0.74 % BCE eliminated: 0
% 0.56/0.74 % PE start: 10
% 0.56/0.74 logic: neq
% 0.56/0.74 % PE eliminated: -3
% 0.56/0.74 % done 41 iterations in 0.028s
% 0.56/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.74 % SZS output start Refutation
% 0.56/0.74 thf(e_1_type, type, e_1: $i).
% 0.56/0.74 thf(group_element_type, type, group_element: $i > $o).
% 0.56/0.74 thf(e_2_type, type, e_2: $i).
% 0.56/0.74 thf(product_type, type, product: $i > $i > $i > $o).
% 0.56/0.74 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.56/0.74 thf(product_total_function1, axiom,
% 0.56/0.74 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.56/0.74 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ))).
% 0.56/0.74 thf(zip_derived_cl4, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (group_element @ X0)
% 0.56/0.74 | ~ (group_element @ X1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_2))),
% 0.56/0.74 inference('cnf', [status(esa)], [product_total_function1])).
% 0.56/0.74 thf(zip_derived_cl4, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (group_element @ X0)
% 0.56/0.74 | ~ (group_element @ X1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_2))),
% 0.56/0.74 inference('cnf', [status(esa)], [product_total_function1])).
% 0.56/0.74 thf(zip_derived_cl4, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (group_element @ X0)
% 0.56/0.74 | ~ (group_element @ X1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_2))),
% 0.56/0.74 inference('cnf', [status(esa)], [product_total_function1])).
% 0.56/0.74 thf(product_left_cancellation, axiom,
% 0.56/0.74 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 0.56/0.74 ( equalish @ W @ Z ))).
% 0.56/0.74 thf(zip_derived_cl7, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.74 (~ (product @ X0 @ X1 @ X2)
% 0.56/0.74 | ~ (product @ X3 @ X1 @ X2)
% 0.56/0.74 | (equalish @ X0 @ X3))),
% 0.56/0.74 inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.56/0.74 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.56/0.74 thf(zip_derived_cl2, plain, (~ (equalish @ e_1 @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.56/0.74 thf(zip_derived_cl14, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl7, zip_derived_cl2])).
% 0.56/0.74 thf(zip_derived_cl23, plain,
% 0.56/0.74 (![X0 : $i]:
% 0.56/0.74 ( (product @ e_2 @ X0 @ e_1)
% 0.56/0.74 | ~ (group_element @ X0)
% 0.56/0.74 | ~ (group_element @ e_2)
% 0.56/0.74 | ~ (product @ e_1 @ X0 @ e_2))),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl14])).
% 0.56/0.74 thf(element_2, axiom, (group_element @ e_2)).
% 0.56/0.74 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_2])).
% 0.56/0.74 thf(zip_derived_cl24, plain,
% 0.56/0.74 (![X0 : $i]:
% 0.56/0.74 ( (product @ e_2 @ X0 @ e_1)
% 0.56/0.74 | ~ (group_element @ X0)
% 0.56/0.74 | ~ (product @ e_1 @ X0 @ e_2))),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 0.56/0.74 thf(qg1_2, conjecture,
% 0.56/0.74 (~( ( equalish @ Y1 @ Y2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.56/0.74 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.56/0.74 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.56/0.74 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.74 (( equalish @ Y1 @ Y2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.56/0.74 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.56/0.74 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.56/0.74 inference('cnf.neg', [status(esa)], [qg1_2])).
% 0.56/0.74 thf(zip_derived_cl9, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.74 ( (equalish @ X0 @ X1)
% 0.56/0.74 | ~ (product @ X2 @ X1 @ X3)
% 0.56/0.74 | ~ (product @ X2 @ X0 @ X4)
% 0.56/0.74 | ~ (product @ X3 @ X1 @ X5)
% 0.56/0.74 | ~ (product @ X4 @ X0 @ X5))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.74 thf(zip_derived_cl2, plain, (~ (equalish @ e_1 @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.56/0.74 thf(zip_derived_cl18, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.74 (~ (product @ X1 @ e_1 @ X0)
% 0.56/0.74 | ~ (product @ X2 @ e_2 @ X0)
% 0.56/0.74 | ~ (product @ X3 @ e_1 @ X1)
% 0.56/0.74 | ~ (product @ X3 @ e_2 @ X2))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl9, zip_derived_cl2])).
% 0.56/0.74 thf(zip_derived_cl43, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (product @ X0 @ e_2 @ X1)
% 0.56/0.74 | ~ (product @ X0 @ e_1 @ X0)
% 0.56/0.74 | ~ (product @ X1 @ e_2 @ X0))),
% 0.56/0.74 inference('eq_fact', [status(thm)], [zip_derived_cl18])).
% 0.56/0.74 thf(zip_derived_cl51, plain,
% 0.56/0.74 ((~ (product @ e_1 @ e_2 @ e_2)
% 0.56/0.74 | ~ (group_element @ e_2)
% 0.56/0.74 | ~ (product @ e_2 @ e_1 @ e_2)
% 0.56/0.74 | ~ (product @ e_1 @ e_2 @ e_2))),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl43])).
% 0.56/0.74 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_2])).
% 0.56/0.74 thf(zip_derived_cl55, plain,
% 0.56/0.74 ((~ (product @ e_1 @ e_2 @ e_2)
% 0.56/0.74 | ~ (product @ e_2 @ e_1 @ e_2)
% 0.56/0.74 | ~ (product @ e_1 @ e_2 @ e_2))),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl1])).
% 0.56/0.74 thf(zip_derived_cl56, plain,
% 0.56/0.74 ((~ (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_2))),
% 0.56/0.74 inference('simplify', [status(thm)], [zip_derived_cl55])).
% 0.56/0.74 thf(zip_derived_cl61, plain,
% 0.56/0.74 (( (product @ e_2 @ e_1 @ e_1)
% 0.56/0.74 | ~ (group_element @ e_1)
% 0.56/0.74 | ~ (group_element @ e_2)
% 0.56/0.74 | ~ (product @ e_1 @ e_2 @ e_2))),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl56])).
% 0.56/0.74 thf(element_1, axiom, (group_element @ e_1)).
% 0.56/0.74 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_1])).
% 0.56/0.74 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_2])).
% 0.56/0.74 thf(zip_derived_cl62, plain,
% 0.56/0.74 (( (product @ e_2 @ e_1 @ e_1) | ~ (product @ e_1 @ e_2 @ e_2))),
% 0.56/0.74 inference('demod', [status(thm)],
% 0.56/0.74 [zip_derived_cl61, zip_derived_cl0, zip_derived_cl1])).
% 0.56/0.74 thf(zip_derived_cl24, plain,
% 0.56/0.74 (![X0 : $i]:
% 0.56/0.74 ( (product @ e_2 @ X0 @ e_1)
% 0.56/0.74 | ~ (group_element @ X0)
% 0.56/0.74 | ~ (product @ e_1 @ X0 @ e_2))),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 0.56/0.74 thf(product_right_cancellation, axiom,
% 0.56/0.74 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 0.56/0.74 ( equalish @ W @ Z ))).
% 0.56/0.74 thf(zip_derived_cl6, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.74 (~ (product @ X0 @ X1 @ X2)
% 0.56/0.74 | ~ (product @ X0 @ X3 @ X2)
% 0.56/0.74 | (equalish @ X1 @ X3))),
% 0.56/0.74 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.56/0.74 thf(zip_derived_cl2, plain, (~ (equalish @ e_1 @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.56/0.74 thf(zip_derived_cl12, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl6, zip_derived_cl2])).
% 0.56/0.74 thf(zip_derived_cl50, plain,
% 0.56/0.74 ((~ (product @ e_1 @ e_2 @ e_2)
% 0.56/0.74 | ~ (group_element @ e_2)
% 0.56/0.74 | ~ (product @ e_2 @ e_1 @ e_1))),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl12])).
% 0.56/0.74 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_2])).
% 0.56/0.74 thf(zip_derived_cl54, plain,
% 0.56/0.74 ((~ (product @ e_1 @ e_2 @ e_2) | ~ (product @ e_2 @ e_1 @ e_1))),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl1])).
% 0.56/0.74 thf(zip_derived_cl85, plain, (~ (product @ e_1 @ e_2 @ e_2)),
% 0.56/0.74 inference('clc', [status(thm)], [zip_derived_cl62, zip_derived_cl54])).
% 0.56/0.74 thf(zip_derived_cl86, plain,
% 0.56/0.74 (( (product @ e_1 @ e_2 @ e_1)
% 0.56/0.74 | ~ (group_element @ e_2)
% 0.56/0.74 | ~ (group_element @ e_1))),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl85])).
% 0.56/0.74 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_2])).
% 0.56/0.74 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_1])).
% 0.56/0.74 thf(zip_derived_cl87, plain, ( (product @ e_1 @ e_2 @ e_1)),
% 0.56/0.74 inference('demod', [status(thm)],
% 0.56/0.74 [zip_derived_cl86, zip_derived_cl1, zip_derived_cl0])).
% 0.56/0.74 thf(zip_derived_cl4, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (group_element @ X0)
% 0.56/0.74 | ~ (group_element @ X1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_2))),
% 0.56/0.74 inference('cnf', [status(esa)], [product_total_function1])).
% 0.56/0.74 thf(zip_derived_cl4, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (group_element @ X0)
% 0.56/0.74 | ~ (group_element @ X1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_2))),
% 0.56/0.74 inference('cnf', [status(esa)], [product_total_function1])).
% 0.56/0.74 thf(zip_derived_cl12, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl6, zip_derived_cl2])).
% 0.56/0.74 thf(zip_derived_cl21, plain,
% 0.56/0.74 (![X0 : $i]:
% 0.56/0.74 ( (product @ X0 @ e_2 @ e_1)
% 0.56/0.74 | ~ (group_element @ e_2)
% 0.56/0.74 | ~ (group_element @ X0)
% 0.56/0.74 | ~ (product @ X0 @ e_1 @ e_2))),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl12])).
% 0.56/0.74 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_2])).
% 0.56/0.74 thf(zip_derived_cl22, plain,
% 0.56/0.74 (![X0 : $i]:
% 0.56/0.74 ( (product @ X0 @ e_2 @ e_1)
% 0.56/0.74 | ~ (group_element @ X0)
% 0.56/0.74 | ~ (product @ X0 @ e_1 @ e_2))),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 0.56/0.74 thf(zip_derived_cl14, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl7, zip_derived_cl2])).
% 0.56/0.74 thf(zip_derived_cl30, plain,
% 0.56/0.74 ((~ (product @ e_2 @ e_1 @ e_2)
% 0.56/0.74 | ~ (group_element @ e_2)
% 0.56/0.74 | ~ (product @ e_1 @ e_2 @ e_1))),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl14])).
% 0.56/0.74 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_2])).
% 0.56/0.74 thf(zip_derived_cl32, plain,
% 0.56/0.74 ((~ (product @ e_2 @ e_1 @ e_2) | ~ (product @ e_1 @ e_2 @ e_1))),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 0.56/0.74 thf(zip_derived_cl33, plain,
% 0.56/0.74 (( (product @ e_2 @ e_1 @ e_1)
% 0.56/0.74 | ~ (group_element @ e_1)
% 0.56/0.74 | ~ (group_element @ e_2)
% 0.56/0.74 | ~ (product @ e_1 @ e_2 @ e_1))),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl32])).
% 0.56/0.74 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_1])).
% 0.56/0.74 thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_2])).
% 0.56/0.74 thf(zip_derived_cl34, plain,
% 0.56/0.74 (( (product @ e_2 @ e_1 @ e_1) | ~ (product @ e_1 @ e_2 @ e_1))),
% 0.56/0.74 inference('demod', [status(thm)],
% 0.56/0.74 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl1])).
% 0.56/0.74 thf(zip_derived_cl87, plain, ( (product @ e_1 @ e_2 @ e_1)),
% 0.56/0.74 inference('demod', [status(thm)],
% 0.56/0.74 [zip_derived_cl86, zip_derived_cl1, zip_derived_cl0])).
% 0.56/0.74 thf(zip_derived_cl88, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl87])).
% 0.56/0.74 thf(zip_derived_cl4, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (group_element @ X0)
% 0.56/0.74 | ~ (group_element @ X1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_1)
% 0.56/0.74 | (product @ X0 @ X1 @ e_2))),
% 0.56/0.74 inference('cnf', [status(esa)], [product_total_function1])).
% 0.56/0.74 thf(qg1_1, conjecture,
% 0.56/0.74 (~( ( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.56/0.74 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.56/0.74 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.56/0.74 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.74 (( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.56/0.74 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.56/0.74 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.56/0.74 inference('cnf.neg', [status(esa)], [qg1_1])).
% 0.56/0.74 thf(zip_derived_cl8, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.74 ( (equalish @ X0 @ X1)
% 0.56/0.74 | ~ (product @ X2 @ X3 @ X1)
% 0.56/0.74 | ~ (product @ X2 @ X4 @ X0)
% 0.56/0.74 | ~ (product @ X1 @ X3 @ X5)
% 0.56/0.74 | ~ (product @ X0 @ X4 @ X5))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.74 thf(zip_derived_cl2, plain, (~ (equalish @ e_1 @ e_2)),
% 0.56/0.74 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.56/0.74 thf(zip_derived_cl16, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.74 (~ (product @ e_1 @ X1 @ X0)
% 0.56/0.74 | ~ (product @ e_2 @ X2 @ X0)
% 0.56/0.74 | ~ (product @ X3 @ X1 @ e_1)
% 0.56/0.74 | ~ (product @ X3 @ X2 @ e_2))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl8, zip_derived_cl2])).
% 0.56/0.74 thf(zip_derived_cl26, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (product @ e_1 @ X1 @ e_2)
% 0.56/0.74 | ~ (product @ e_1 @ X0 @ e_1)
% 0.56/0.74 | ~ (product @ e_2 @ X1 @ e_1))),
% 0.56/0.74 inference('eq_fact', [status(thm)], [zip_derived_cl16])).
% 0.56/0.74 thf(zip_derived_cl40, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 ( (product @ e_1 @ X0 @ e_1)
% 0.56/0.74 | ~ (group_element @ X0)
% 0.56/0.74 | ~ (group_element @ e_1)
% 0.56/0.74 | ~ (product @ e_1 @ X1 @ e_1)
% 0.56/0.74 | ~ (product @ e_2 @ X0 @ e_1))),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl26])).
% 0.56/0.74 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_1])).
% 0.56/0.74 thf(zip_derived_cl41, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 ( (product @ e_1 @ X0 @ e_1)
% 0.56/0.74 | ~ (group_element @ X0)
% 0.56/0.74 | ~ (product @ e_1 @ X1 @ e_1)
% 0.56/0.74 | ~ (product @ e_2 @ X0 @ e_1))),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.56/0.74 thf(zip_derived_cl14, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl7, zip_derived_cl2])).
% 0.56/0.74 thf(zip_derived_cl76, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (product @ e_2 @ X0 @ e_1)
% 0.56/0.74 | ~ (product @ e_1 @ X1 @ e_1)
% 0.56/0.74 | ~ (group_element @ X0))),
% 0.56/0.74 inference('clc', [status(thm)], [zip_derived_cl41, zip_derived_cl14])).
% 0.56/0.74 thf(zip_derived_cl99, plain,
% 0.56/0.74 (![X0 : $i]: (~ (product @ e_1 @ X0 @ e_1) | ~ (group_element @ e_1))),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl76])).
% 0.56/0.74 thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.56/0.74 inference('cnf', [status(esa)], [element_1])).
% 0.56/0.74 thf(zip_derived_cl100, plain, (![X0 : $i]: ~ (product @ e_1 @ X0 @ e_1)),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl0])).
% 0.56/0.74 thf(zip_derived_cl107, plain, ($false),
% 0.56/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl100])).
% 0.56/0.74
% 0.56/0.74 % SZS output end Refutation
% 0.56/0.74
% 0.56/0.74
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74 % Terminating...
% 0.57/0.84 % Runner terminated.
% 1.60/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------