TSTP Solution File: GRP128-4.003 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP128-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EtCyeYhspn true
% Computer : n019.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 01:50:13 EDT 2023
% Result : Unsatisfiable 1.59s 0.81s
% Output : Refutation 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP128-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EtCyeYhspn true
% 0.13/0.34 % Computer : n019.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 02:25:58 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
% 0.20/0.34 % Number of cores: 8
% 0.20/0.34 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.59/0.81 % Solved by fo/fo3_bce.sh.
% 1.59/0.81 % BCE start: 18
% 1.59/0.81 % BCE eliminated: 0
% 1.59/0.81 % PE start: 18
% 1.59/0.81 logic: neq
% 1.59/0.81 % PE eliminated: -9
% 1.59/0.81 % done 100 iterations in 0.048s
% 1.59/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.59/0.81 % SZS output start Refutation
% 1.59/0.81 thf(e_1_type, type, e_1: $i).
% 1.59/0.81 thf(product_type, type, product: $i > $i > $i > $o).
% 1.59/0.81 thf(equalish_type, type, equalish: $i > $i > $o).
% 1.59/0.81 thf(e_2_type, type, e_2: $i).
% 1.59/0.81 thf(group_element_type, type, group_element: $i > $o).
% 1.59/0.81 thf(e_3_type, type, e_3: $i).
% 1.59/0.81 thf(row_surjectivity, axiom,
% 1.59/0.81 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 1.59/0.81 ( product @ e_1 @ X @ Y ) | ( product @ e_2 @ X @ Y ) |
% 1.59/0.81 ( product @ e_3 @ X @ Y ))).
% 1.59/0.81 thf(zip_derived_cl0, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (group_element @ X0)
% 1.59/0.81 | ~ (group_element @ X1)
% 1.59/0.81 | (product @ e_1 @ X0 @ X1)
% 1.59/0.81 | (product @ e_2 @ X0 @ X1)
% 1.59/0.81 | (product @ e_3 @ X0 @ X1))),
% 1.59/0.81 inference('cnf', [status(esa)], [row_surjectivity])).
% 1.59/0.81 thf(qg3_2, conjecture,
% 1.59/0.81 (~( ( ~( product @ X @ Y @ Z1 ) ) | ( ~( product @ X @ Z1 @ Z2 ) ) |
% 1.59/0.81 ( product @ Z1 @ Y @ Z2 ) ))).
% 1.59/0.81 thf(zf_stmt_0, negated_conjecture,
% 1.59/0.81 (( ~( product @ X @ Y @ Z1 ) ) | ( ~( product @ X @ Z1 @ Z2 ) ) |
% 1.59/0.81 ( product @ Z1 @ Y @ Z2 )),
% 1.59/0.81 inference('cnf.neg', [status(esa)], [qg3_2])).
% 1.59/0.81 thf(zip_derived_cl3, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.59/0.81 (~ (product @ X0 @ X1 @ X2)
% 1.59/0.81 | ~ (product @ X0 @ X2 @ X3)
% 1.59/0.81 | (product @ X2 @ X1 @ X3))),
% 1.59/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.59/0.81 thf(zip_derived_cl103, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 ( (product @ X0 @ X0 @ X0) | ~ (product @ X1 @ X0 @ X0))),
% 1.59/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 1.59/0.81 thf(zip_derived_cl106, plain,
% 1.59/0.81 (![X0 : $i]:
% 1.59/0.81 ( (product @ e_2 @ X0 @ X0)
% 1.59/0.81 | (product @ e_1 @ X0 @ X0)
% 1.59/0.81 | ~ (group_element @ X0)
% 1.59/0.81 | ~ (group_element @ X0)
% 1.59/0.81 | (product @ X0 @ X0 @ X0))),
% 1.59/0.81 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 1.59/0.81 thf(zip_derived_cl109, plain,
% 1.59/0.81 (![X0 : $i]:
% 1.59/0.81 ( (product @ X0 @ X0 @ X0)
% 1.59/0.81 | ~ (group_element @ X0)
% 1.59/0.81 | (product @ e_1 @ X0 @ X0)
% 1.59/0.81 | (product @ e_2 @ X0 @ X0))),
% 1.59/0.81 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 1.59/0.81 thf(zip_derived_cl103, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 ( (product @ X0 @ X0 @ X0) | ~ (product @ X1 @ X0 @ X0))),
% 1.59/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 1.59/0.81 thf(zip_derived_cl156, plain,
% 1.59/0.81 (![X0 : $i]:
% 1.59/0.81 ( (product @ e_2 @ X0 @ X0)
% 1.59/0.81 | ~ (group_element @ X0)
% 1.59/0.81 | (product @ X0 @ X0 @ X0))),
% 1.59/0.81 inference('clc', [status(thm)], [zip_derived_cl109, zip_derived_cl103])).
% 1.59/0.81 thf(zip_derived_cl103, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 ( (product @ X0 @ X0 @ X0) | ~ (product @ X1 @ X0 @ X0))),
% 1.59/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 1.59/0.81 thf(zip_derived_cl157, plain,
% 1.59/0.81 (![X0 : $i]: ( (product @ X0 @ X0 @ X0) | ~ (group_element @ X0))),
% 1.59/0.81 inference('clc', [status(thm)], [zip_derived_cl156, zip_derived_cl103])).
% 1.59/0.81 thf(zip_derived_cl0, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (group_element @ X0)
% 1.59/0.81 | ~ (group_element @ X1)
% 1.59/0.81 | (product @ e_1 @ X0 @ X1)
% 1.59/0.81 | (product @ e_2 @ X0 @ X1)
% 1.59/0.81 | (product @ e_3 @ X0 @ X1))),
% 1.59/0.81 inference('cnf', [status(esa)], [row_surjectivity])).
% 1.59/0.81 thf(column_surjectivity, axiom,
% 1.59/0.81 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 1.59/0.81 ( product @ X @ e_1 @ Y ) | ( product @ X @ e_2 @ Y ) |
% 1.59/0.81 ( product @ X @ e_3 @ Y ))).
% 1.59/0.81 thf(zip_derived_cl1, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (group_element @ X0)
% 1.59/0.81 | ~ (group_element @ X1)
% 1.59/0.81 | (product @ X0 @ e_1 @ X1)
% 1.59/0.81 | (product @ X0 @ e_2 @ X1)
% 1.59/0.81 | (product @ X0 @ e_3 @ X1))),
% 1.59/0.81 inference('cnf', [status(esa)], [column_surjectivity])).
% 1.59/0.81 thf(product_total_function2, axiom,
% 1.59/0.81 (( ~( product @ X @ Y @ W ) ) | ( ~( product @ X @ Y @ Z ) ) |
% 1.59/0.81 ( equalish @ W @ Z ))).
% 1.59/0.81 thf(zip_derived_cl14, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.59/0.81 (~ (product @ X0 @ X1 @ X2)
% 1.59/0.81 | ~ (product @ X0 @ X1 @ X3)
% 1.59/0.81 | (equalish @ X2 @ X3))),
% 1.59/0.81 inference('cnf', [status(esa)], [product_total_function2])).
% 1.59/0.81 thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 1.59/0.81 thf(zip_derived_cl10, plain, (~ (equalish @ e_2 @ e_3)),
% 1.59/0.81 inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 1.59/0.81 thf(zip_derived_cl21, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (product @ X1 @ X0 @ e_3) | ~ (product @ X1 @ X0 @ e_2))),
% 1.59/0.81 inference('dp-resolution', [status(thm)],
% 1.59/0.81 [zip_derived_cl14, zip_derived_cl10])).
% 1.59/0.81 thf(zip_derived_cl157, plain,
% 1.59/0.81 (![X0 : $i]: ( (product @ X0 @ X0 @ X0) | ~ (group_element @ X0))),
% 1.59/0.81 inference('clc', [status(thm)], [zip_derived_cl156, zip_derived_cl103])).
% 1.59/0.81 thf(zip_derived_cl175, plain,
% 1.59/0.81 ((~ (product @ e_3 @ e_3 @ e_2) | ~ (group_element @ e_3))),
% 1.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl157])).
% 1.59/0.81 thf(element_3, axiom, (group_element @ e_3)).
% 1.59/0.81 thf(zip_derived_cl6, plain, ( (group_element @ e_3)),
% 1.59/0.81 inference('cnf', [status(esa)], [element_3])).
% 1.59/0.81 thf(zip_derived_cl184, plain, (~ (product @ e_3 @ e_3 @ e_2)),
% 1.59/0.81 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl6])).
% 1.59/0.81 thf(zip_derived_cl210, plain,
% 1.59/0.81 (( (product @ e_3 @ e_2 @ e_2)
% 1.59/0.81 | (product @ e_3 @ e_1 @ e_2)
% 1.59/0.81 | ~ (group_element @ e_2)
% 1.59/0.81 | ~ (group_element @ e_3))),
% 1.59/0.81 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl184])).
% 1.59/0.81 thf(element_2, axiom, (group_element @ e_2)).
% 1.59/0.81 thf(zip_derived_cl5, plain, ( (group_element @ e_2)),
% 1.59/0.81 inference('cnf', [status(esa)], [element_2])).
% 1.59/0.81 thf(zip_derived_cl6, plain, ( (group_element @ e_3)),
% 1.59/0.81 inference('cnf', [status(esa)], [element_3])).
% 1.59/0.81 thf(zip_derived_cl212, plain,
% 1.59/0.81 (( (product @ e_3 @ e_2 @ e_2) | (product @ e_3 @ e_1 @ e_2))),
% 1.59/0.81 inference('demod', [status(thm)],
% 1.59/0.81 [zip_derived_cl210, zip_derived_cl5, zip_derived_cl6])).
% 1.59/0.81 thf(zip_derived_cl14, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.59/0.81 (~ (product @ X0 @ X1 @ X2)
% 1.59/0.81 | ~ (product @ X0 @ X1 @ X3)
% 1.59/0.81 | (equalish @ X2 @ X3))),
% 1.59/0.81 inference('cnf', [status(esa)], [product_total_function2])).
% 1.59/0.81 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 1.59/0.81 thf(zip_derived_cl7, plain, (~ (equalish @ e_1 @ e_2)),
% 1.59/0.81 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 1.59/0.81 thf(zip_derived_cl18, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (product @ X1 @ X0 @ e_2) | ~ (product @ X1 @ X0 @ e_1))),
% 1.59/0.81 inference('dp-resolution', [status(thm)],
% 1.59/0.81 [zip_derived_cl14, zip_derived_cl7])).
% 1.59/0.81 thf(zip_derived_cl320, plain,
% 1.59/0.81 (( (product @ e_3 @ e_1 @ e_2) | ~ (product @ e_3 @ e_2 @ e_1))),
% 1.59/0.81 inference('sup-', [status(thm)], [zip_derived_cl212, zip_derived_cl18])).
% 1.59/0.81 thf(zip_derived_cl332, plain,
% 1.59/0.81 (( (product @ e_2 @ e_2 @ e_1)
% 1.59/0.81 | (product @ e_1 @ e_2 @ e_1)
% 1.59/0.81 | ~ (group_element @ e_1)
% 1.59/0.81 | ~ (group_element @ e_2)
% 1.59/0.81 | (product @ e_3 @ e_1 @ e_2))),
% 1.59/0.81 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl320])).
% 1.59/0.81 thf(zip_derived_cl18, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (product @ X1 @ X0 @ e_2) | ~ (product @ X1 @ X0 @ e_1))),
% 1.59/0.81 inference('dp-resolution', [status(thm)],
% 1.59/0.81 [zip_derived_cl14, zip_derived_cl7])).
% 1.59/0.81 thf(zip_derived_cl157, plain,
% 1.59/0.81 (![X0 : $i]: ( (product @ X0 @ X0 @ X0) | ~ (group_element @ X0))),
% 1.59/0.81 inference('clc', [status(thm)], [zip_derived_cl156, zip_derived_cl103])).
% 1.59/0.81 thf(zip_derived_cl173, plain,
% 1.59/0.81 ((~ (product @ e_2 @ e_2 @ e_1) | ~ (group_element @ e_2))),
% 1.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl157])).
% 1.59/0.81 thf(zip_derived_cl5, plain, ( (group_element @ e_2)),
% 1.59/0.81 inference('cnf', [status(esa)], [element_2])).
% 1.59/0.81 thf(zip_derived_cl182, plain, (~ (product @ e_2 @ e_2 @ e_1)),
% 1.59/0.81 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl5])).
% 1.59/0.81 thf(zip_derived_cl1, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (group_element @ X0)
% 1.59/0.81 | ~ (group_element @ X1)
% 1.59/0.81 | (product @ X0 @ e_1 @ X1)
% 1.59/0.81 | (product @ X0 @ e_2 @ X1)
% 1.59/0.81 | (product @ X0 @ e_3 @ X1))),
% 1.59/0.81 inference('cnf', [status(esa)], [column_surjectivity])).
% 1.59/0.81 thf(zip_derived_cl14, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.59/0.81 (~ (product @ X0 @ X1 @ X2)
% 1.59/0.81 | ~ (product @ X0 @ X1 @ X3)
% 1.59/0.81 | (equalish @ X2 @ X3))),
% 1.59/0.81 inference('cnf', [status(esa)], [product_total_function2])).
% 1.59/0.81 thf(e_1_is_not_e_3, axiom, (~( equalish @ e_1 @ e_3 ))).
% 1.59/0.81 thf(zip_derived_cl8, plain, (~ (equalish @ e_1 @ e_3)),
% 1.59/0.81 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 1.59/0.81 thf(zip_derived_cl19, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (product @ X1 @ X0 @ e_3) | ~ (product @ X1 @ X0 @ e_1))),
% 1.59/0.81 inference('dp-resolution', [status(thm)],
% 1.59/0.81 [zip_derived_cl14, zip_derived_cl8])).
% 1.59/0.81 thf(zip_derived_cl157, plain,
% 1.59/0.81 (![X0 : $i]: ( (product @ X0 @ X0 @ X0) | ~ (group_element @ X0))),
% 1.59/0.81 inference('clc', [status(thm)], [zip_derived_cl156, zip_derived_cl103])).
% 1.59/0.81 thf(zip_derived_cl174, plain,
% 1.59/0.81 ((~ (product @ e_3 @ e_3 @ e_1) | ~ (group_element @ e_3))),
% 1.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl157])).
% 1.59/0.81 thf(zip_derived_cl6, plain, ( (group_element @ e_3)),
% 1.59/0.81 inference('cnf', [status(esa)], [element_3])).
% 1.59/0.81 thf(zip_derived_cl183, plain, (~ (product @ e_3 @ e_3 @ e_1)),
% 1.59/0.81 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl6])).
% 1.59/0.81 thf(zip_derived_cl202, plain,
% 1.59/0.81 (( (product @ e_3 @ e_2 @ e_1)
% 1.59/0.81 | (product @ e_3 @ e_1 @ e_1)
% 1.59/0.81 | ~ (group_element @ e_1)
% 1.59/0.81 | ~ (group_element @ e_3))),
% 1.59/0.81 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl183])).
% 1.59/0.81 thf(element_1, axiom, (group_element @ e_1)).
% 1.59/0.81 thf(zip_derived_cl4, plain, ( (group_element @ e_1)),
% 1.59/0.81 inference('cnf', [status(esa)], [element_1])).
% 1.59/0.81 thf(zip_derived_cl6, plain, ( (group_element @ e_3)),
% 1.59/0.81 inference('cnf', [status(esa)], [element_3])).
% 1.59/0.81 thf(zip_derived_cl204, plain,
% 1.59/0.81 (( (product @ e_3 @ e_2 @ e_1) | (product @ e_3 @ e_1 @ e_1))),
% 1.59/0.81 inference('demod', [status(thm)],
% 1.59/0.81 [zip_derived_cl202, zip_derived_cl4, zip_derived_cl6])).
% 1.59/0.81 thf(product_left_cancellation, axiom,
% 1.59/0.81 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 1.59/0.81 ( equalish @ W @ Z ))).
% 1.59/0.81 thf(zip_derived_cl16, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.59/0.81 (~ (product @ X0 @ X1 @ X2)
% 1.59/0.81 | ~ (product @ X3 @ X1 @ X2)
% 1.59/0.81 | (equalish @ X0 @ X3))),
% 1.59/0.81 inference('cnf', [status(esa)], [product_left_cancellation])).
% 1.59/0.81 thf(zip_derived_cl8, plain, (~ (equalish @ e_1 @ e_3)),
% 1.59/0.81 inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 1.59/0.81 thf(zip_derived_cl31, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.59/0.81 inference('dp-resolution', [status(thm)],
% 1.59/0.81 [zip_derived_cl16, zip_derived_cl8])).
% 1.59/0.81 thf(zip_derived_cl272, plain,
% 1.59/0.81 (( (product @ e_3 @ e_1 @ e_1) | ~ (product @ e_1 @ e_2 @ e_1))),
% 1.59/0.81 inference('sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl31])).
% 1.59/0.81 thf(zip_derived_cl31, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.59/0.81 inference('dp-resolution', [status(thm)],
% 1.59/0.81 [zip_derived_cl16, zip_derived_cl8])).
% 1.59/0.81 thf(zip_derived_cl302, plain,
% 1.59/0.81 ((~ (product @ e_1 @ e_2 @ e_1) | ~ (product @ e_1 @ e_1 @ e_1))),
% 1.59/0.81 inference('sup-', [status(thm)], [zip_derived_cl272, zip_derived_cl31])).
% 1.59/0.81 thf(qg3, conjecture,
% 1.59/0.81 (~( ( product @ X @ Z1 @ Z2 ) | ( ~( product @ Z1 @ Y @ Z2 ) ) |
% 1.59/0.81 ( ~( product @ X @ Y @ Z1 ) ) ))).
% 1.59/0.81 thf(zf_stmt_1, negated_conjecture,
% 1.59/0.81 (( product @ X @ Z1 @ Z2 ) | ( ~( product @ Z1 @ Y @ Z2 ) ) |
% 1.59/0.81 ( ~( product @ X @ Y @ Z1 ) )),
% 1.59/0.81 inference('cnf.neg', [status(esa)], [qg3])).
% 1.59/0.81 thf(zip_derived_cl17, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.59/0.81 ( (product @ X0 @ X1 @ X2)
% 1.59/0.81 | ~ (product @ X1 @ X3 @ X2)
% 1.59/0.81 | ~ (product @ X0 @ X3 @ X1))),
% 1.59/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.59/0.81 thf(zip_derived_cl148, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i]:
% 1.59/0.81 (~ (product @ X0 @ X1 @ X0) | (product @ X0 @ X0 @ X0))),
% 1.59/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl17])).
% 1.59/0.81 thf(zip_derived_cl314, plain, (~ (product @ e_1 @ e_2 @ e_1)),
% 1.59/0.81 inference('clc', [status(thm)], [zip_derived_cl302, zip_derived_cl148])).
% 1.59/0.81 thf(zip_derived_cl4, plain, ( (group_element @ e_1)),
% 1.59/0.81 inference('cnf', [status(esa)], [element_1])).
% 1.59/0.81 thf(zip_derived_cl5, plain, ( (group_element @ e_2)),
% 1.59/0.81 inference('cnf', [status(esa)], [element_2])).
% 1.59/0.81 thf(zip_derived_cl334, plain, ( (product @ e_3 @ e_1 @ e_2)),
% 1.59/0.81 inference('demod', [status(thm)],
% 1.59/0.81 [zip_derived_cl332, zip_derived_cl182, zip_derived_cl314,
% 1.59/0.81 zip_derived_cl4, zip_derived_cl5])).
% 1.59/0.81 thf(zip_derived_cl3, plain,
% 1.59/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.59/0.81 (~ (product @ X0 @ X1 @ X2)
% 1.59/0.81 | ~ (product @ X0 @ X2 @ X3)
% 1.59/0.81 | (product @ X2 @ X1 @ X3))),
% 1.59/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.59/0.81 thf(zip_derived_cl337, plain,
% 1.59/0.81 (![X0 : $i]: ( (product @ e_2 @ e_1 @ X0) | ~ (product @ e_3 @ e_2 @ X0))),
% 1.59/0.81 inference('sup-', [status(thm)], [zip_derived_cl334, zip_derived_cl3])).
% 1.59/0.81 thf(zip_derived_cl204, plain,
% 1.59/0.81 (( (product @ e_3 @ e_2 @ e_1) | (product @ e_3 @ e_1 @ e_1))),
% 1.59/0.81 inference('demod', [status(thm)],
% 1.59/0.81 [zip_derived_cl202, zip_derived_cl4, zip_derived_cl6])).
% 1.59/0.82 thf(zip_derived_cl334, plain, ( (product @ e_3 @ e_1 @ e_2)),
% 1.59/0.82 inference('demod', [status(thm)],
% 1.59/0.82 [zip_derived_cl332, zip_derived_cl182, zip_derived_cl314,
% 1.59/0.82 zip_derived_cl4, zip_derived_cl5])).
% 1.59/0.82 thf(zip_derived_cl18, plain,
% 1.59/0.82 (![X0 : $i, X1 : $i]:
% 1.59/0.82 (~ (product @ X1 @ X0 @ e_2) | ~ (product @ X1 @ X0 @ e_1))),
% 1.59/0.82 inference('dp-resolution', [status(thm)],
% 1.59/0.82 [zip_derived_cl14, zip_derived_cl7])).
% 1.59/0.82 thf(zip_derived_cl339, plain, (~ (product @ e_3 @ e_1 @ e_1)),
% 1.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl334, zip_derived_cl18])).
% 1.59/0.82 thf(zip_derived_cl345, plain, ( (product @ e_3 @ e_2 @ e_1)),
% 1.59/0.82 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl339])).
% 1.59/0.82 thf(zip_derived_cl417, plain, ( (product @ e_2 @ e_1 @ e_1)),
% 1.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl337, zip_derived_cl345])).
% 1.59/0.82 thf(zip_derived_cl16, plain,
% 1.59/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.59/0.82 (~ (product @ X0 @ X1 @ X2)
% 1.59/0.82 | ~ (product @ X3 @ X1 @ X2)
% 1.59/0.82 | (equalish @ X0 @ X3))),
% 1.59/0.82 inference('cnf', [status(esa)], [product_left_cancellation])).
% 1.59/0.82 thf(zip_derived_cl7, plain, (~ (equalish @ e_1 @ e_2)),
% 1.59/0.82 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 1.59/0.82 thf(zip_derived_cl30, plain,
% 1.59/0.82 (![X0 : $i, X1 : $i]:
% 1.59/0.82 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 1.59/0.82 inference('dp-resolution', [status(thm)],
% 1.59/0.82 [zip_derived_cl16, zip_derived_cl7])).
% 1.59/0.82 thf(zip_derived_cl430, plain, (~ (product @ e_1 @ e_1 @ e_1)),
% 1.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl417, zip_derived_cl30])).
% 1.59/0.82 thf(zip_derived_cl433, plain, (~ (group_element @ e_1)),
% 1.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl430])).
% 1.59/0.82 thf(zip_derived_cl4, plain, ( (group_element @ e_1)),
% 1.59/0.82 inference('cnf', [status(esa)], [element_1])).
% 1.59/0.82 thf(zip_derived_cl434, plain, ($false),
% 1.59/0.82 inference('demod', [status(thm)], [zip_derived_cl433, zip_derived_cl4])).
% 1.59/0.82
% 1.59/0.82 % SZS output end Refutation
% 1.59/0.82
% 1.59/0.82
% 1.59/0.82 % Terminating...
% 1.59/0.87 % Runner terminated.
% 1.59/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------