TSTP Solution File: GRP131-2.002 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP131-2.002 : 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.a7Ai8xNCsi true
% Computer : n014.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 0.20s 0.78s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP131-2.002 : 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.a7Ai8xNCsi true
% 0.13/0.35 % Computer : n014.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 21:06:15 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
% 0.13/0.36 % Running in FO mode
% 0.20/0.67 % Total configuration time : 435
% 0.20/0.67 % Estimated wc time : 1092
% 0.20/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78 % Solved by fo/fo6_bce.sh.
% 0.20/0.78 % BCE start: 13
% 0.20/0.78 % BCE eliminated: 0
% 0.20/0.78 % PE start: 13
% 0.20/0.78 logic: neq
% 0.20/0.78 % PE eliminated: 0
% 0.20/0.78 % done 57 iterations in 0.032s
% 0.20/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.78 % SZS output start Refutation
% 0.20/0.78 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.20/0.78 thf(product_type, type, product: $i > $i > $i > $o).
% 0.20/0.78 thf(e_2_type, type, e_2: $i).
% 0.20/0.78 thf(e_1_type, type, e_1: $i).
% 0.20/0.78 thf(group_element_type, type, group_element: $i > $o).
% 0.20/0.78 thf(product_total_function1, axiom,
% 0.20/0.78 (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) |
% 0.20/0.78 ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ))).
% 0.20/0.78 thf(zip_derived_cl7, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (group_element @ X0)
% 0.20/0.78 | ~ (group_element @ X1)
% 0.20/0.78 | (product @ X0 @ X1 @ e_1)
% 0.20/0.78 | (product @ X0 @ X1 @ e_2))),
% 0.20/0.78 inference('cnf', [status(esa)], [product_total_function1])).
% 0.20/0.78 thf(element_2, axiom, (group_element @ e_2)).
% 0.20/0.78 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.20/0.78 inference('cnf', [status(esa)], [element_2])).
% 0.20/0.78 thf(zip_derived_cl25, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ( (product @ e_2 @ X0 @ e_2)
% 0.20/0.78 | (product @ e_2 @ X0 @ e_1)
% 0.20/0.78 | ~ (group_element @ X0))),
% 0.20/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 0.20/0.78 thf(element_1, axiom, (group_element @ e_1)).
% 0.20/0.78 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.20/0.78 inference('cnf', [status(esa)], [element_1])).
% 0.20/0.78 thf(zip_derived_cl71, plain,
% 0.20/0.78 (( (product @ e_2 @ e_1 @ e_1) | (product @ e_2 @ e_1 @ e_2))),
% 0.20/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl3])).
% 0.20/0.78 thf(zip_derived_cl7, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (group_element @ X0)
% 0.20/0.78 | ~ (group_element @ X1)
% 0.20/0.78 | (product @ X0 @ X1 @ e_1)
% 0.20/0.78 | (product @ X0 @ X1 @ e_2))),
% 0.20/0.78 inference('cnf', [status(esa)], [product_total_function1])).
% 0.20/0.78 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.20/0.78 inference('cnf', [status(esa)], [element_1])).
% 0.20/0.78 thf(zip_derived_cl24, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ( (product @ e_1 @ X0 @ e_2)
% 0.20/0.78 | (product @ e_1 @ X0 @ e_1)
% 0.20/0.78 | ~ (group_element @ X0))),
% 0.20/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.20/0.78 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.20/0.78 inference('cnf', [status(esa)], [element_2])).
% 0.20/0.78 thf(zip_derived_cl57, plain,
% 0.20/0.78 (( (product @ e_1 @ e_2 @ e_1) | (product @ e_1 @ e_2 @ e_2))),
% 0.20/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl4])).
% 0.20/0.78 thf(zip_derived_cl7, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (group_element @ X0)
% 0.20/0.78 | ~ (group_element @ X1)
% 0.20/0.78 | (product @ X0 @ X1 @ e_1)
% 0.20/0.78 | (product @ X0 @ X1 @ e_2))),
% 0.20/0.78 inference('cnf', [status(esa)], [product_total_function1])).
% 0.20/0.78 thf(zip_derived_cl33, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ( (product @ X0 @ X0 @ e_2)
% 0.20/0.78 | (product @ X0 @ X0 @ e_1)
% 0.20/0.78 | ~ (group_element @ X0))),
% 0.20/0.78 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 0.20/0.78 thf(zip_derived_cl4, plain, ( (group_element @ e_2)),
% 0.20/0.78 inference('cnf', [status(esa)], [element_2])).
% 0.20/0.78 thf(zip_derived_cl38, plain,
% 0.20/0.78 (( (product @ e_2 @ e_2 @ e_1) | (product @ e_2 @ e_2 @ e_2))),
% 0.20/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl4])).
% 0.20/0.78 thf(product_left_cancellation, axiom,
% 0.20/0.78 (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) |
% 0.20/0.78 ( equalish @ W @ Z ))).
% 0.20/0.78 thf(zip_derived_cl10, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.78 (~ (product @ X0 @ X1 @ X2)
% 0.20/0.78 | ~ (product @ X3 @ X1 @ X2)
% 0.20/0.78 | (equalish @ X0 @ X3))),
% 0.20/0.78 inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.20/0.78 thf(e_1_is_not_e_2, axiom, (~( equalish @ e_1 @ e_2 ))).
% 0.20/0.78 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.20/0.78 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.20/0.78 thf(zip_derived_cl18, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.20/0.78 inference('dp-resolution', [status(thm)],
% 0.20/0.78 [zip_derived_cl10, zip_derived_cl5])).
% 0.20/0.78 thf(zip_derived_cl46, plain,
% 0.20/0.78 (( (product @ e_2 @ e_2 @ e_1) | ~ (product @ e_1 @ e_2 @ e_2))),
% 0.20/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl18])).
% 0.20/0.78 thf(zip_derived_cl66, plain,
% 0.20/0.78 (( (product @ e_1 @ e_2 @ e_1) | (product @ e_2 @ e_2 @ e_1))),
% 0.20/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl46])).
% 0.20/0.78 thf(product_right_cancellation, axiom,
% 0.20/0.78 (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) |
% 0.20/0.78 ( equalish @ W @ Z ))).
% 0.20/0.78 thf(zip_derived_cl9, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.78 (~ (product @ X0 @ X1 @ X2)
% 0.20/0.78 | ~ (product @ X0 @ X3 @ X2)
% 0.20/0.78 | (equalish @ X1 @ X3))),
% 0.20/0.78 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.20/0.78 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.20/0.78 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.20/0.78 thf(zip_derived_cl16, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.20/0.78 inference('dp-resolution', [status(thm)],
% 0.20/0.78 [zip_derived_cl9, zip_derived_cl5])).
% 0.20/0.78 thf(zip_derived_cl75, plain,
% 0.20/0.78 (( (product @ e_1 @ e_2 @ e_1) | ~ (product @ e_2 @ e_1 @ e_1))),
% 0.20/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl16])).
% 0.20/0.78 thf(zip_derived_cl33, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ( (product @ X0 @ X0 @ e_2)
% 0.20/0.78 | (product @ X0 @ X0 @ e_1)
% 0.20/0.78 | ~ (group_element @ X0))),
% 0.20/0.78 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 0.20/0.78 thf(zip_derived_cl3, plain, ( (group_element @ e_1)),
% 0.20/0.78 inference('cnf', [status(esa)], [element_1])).
% 0.20/0.78 thf(zip_derived_cl37, plain,
% 0.20/0.78 (( (product @ e_1 @ e_1 @ e_1) | (product @ e_1 @ e_1 @ e_2))),
% 0.20/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl3])).
% 0.20/0.78 thf(qg1_1, conjecture,
% 0.20/0.78 (~( ( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.20/0.78 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.20/0.78 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.20/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.20/0.78 (( equalish @ X1 @ X2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.20/0.78 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.20/0.78 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.20/0.78 inference('cnf.neg', [status(esa)], [qg1_1])).
% 0.20/0.78 thf(zip_derived_cl11, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.20/0.78 ( (equalish @ X0 @ X1)
% 0.20/0.78 | ~ (product @ X2 @ X3 @ X1)
% 0.20/0.78 | ~ (product @ X2 @ X4 @ X0)
% 0.20/0.78 | ~ (product @ X1 @ X3 @ X5)
% 0.20/0.78 | ~ (product @ X0 @ X4 @ X5))),
% 0.20/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.78 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.20/0.78 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.20/0.78 thf(zip_derived_cl20, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.78 (~ (product @ e_1 @ X1 @ X0)
% 0.20/0.78 | ~ (product @ e_2 @ X2 @ X0)
% 0.20/0.78 | ~ (product @ X3 @ X1 @ e_1)
% 0.20/0.78 | ~ (product @ X3 @ X2 @ e_2))),
% 0.20/0.78 inference('dp-resolution', [status(thm)],
% 0.20/0.78 [zip_derived_cl11, zip_derived_cl5])).
% 0.20/0.78 thf(zip_derived_cl35, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (product @ e_1 @ X1 @ e_2)
% 0.20/0.78 | ~ (product @ e_1 @ X0 @ e_1)
% 0.20/0.78 | ~ (product @ e_2 @ X1 @ e_1))),
% 0.20/0.78 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 0.20/0.78 thf(zip_derived_cl43, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ( (product @ e_1 @ e_1 @ e_1)
% 0.20/0.78 | ~ (product @ e_1 @ X0 @ e_1)
% 0.20/0.78 | ~ (product @ e_2 @ e_1 @ e_1))),
% 0.20/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl35])).
% 0.20/0.78 thf(zip_derived_cl18, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.20/0.78 inference('dp-resolution', [status(thm)],
% 0.20/0.78 [zip_derived_cl10, zip_derived_cl5])).
% 0.20/0.78 thf(zip_derived_cl51, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 (~ (product @ e_2 @ e_1 @ e_1) | ~ (product @ e_1 @ X0 @ e_1))),
% 0.20/0.78 inference('clc', [status(thm)], [zip_derived_cl43, zip_derived_cl18])).
% 0.20/0.78 thf(zip_derived_cl78, plain, (~ (product @ e_2 @ e_1 @ e_1)),
% 0.20/0.78 inference('clc', [status(thm)], [zip_derived_cl75, zip_derived_cl51])).
% 0.20/0.78 thf(zip_derived_cl82, plain, ( (product @ e_2 @ e_1 @ e_2)),
% 0.20/0.78 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl78])).
% 0.20/0.78 thf(zip_derived_cl18, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (product @ e_2 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.20/0.78 inference('dp-resolution', [status(thm)],
% 0.20/0.78 [zip_derived_cl10, zip_derived_cl5])).
% 0.20/0.78 thf(zip_derived_cl86, plain, (~ (product @ e_1 @ e_1 @ e_2)),
% 0.20/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl18])).
% 0.20/0.78 thf(zip_derived_cl37, plain,
% 0.20/0.78 (( (product @ e_1 @ e_1 @ e_1) | (product @ e_1 @ e_1 @ e_2))),
% 0.20/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl3])).
% 0.20/0.78 thf(zip_derived_cl57, plain,
% 0.20/0.78 (( (product @ e_1 @ e_2 @ e_1) | (product @ e_1 @ e_2 @ e_2))),
% 0.20/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl4])).
% 0.20/0.78 thf(qg1_2, conjecture,
% 0.20/0.78 (~( ( equalish @ Y1 @ Y2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.20/0.78 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.20/0.78 ( ~( product @ X1 @ Y1 @ Z1 ) ) ))).
% 0.20/0.78 thf(zf_stmt_1, negated_conjecture,
% 0.20/0.78 (( equalish @ Y1 @ Y2 ) | ( ~( product @ Z2 @ Y2 @ X2 ) ) |
% 0.20/0.78 ( ~( product @ Z2 @ Y1 @ X1 ) ) | ( ~( product @ X2 @ Y2 @ Z1 ) ) |
% 0.20/0.78 ( ~( product @ X1 @ Y1 @ Z1 ) )),
% 0.20/0.78 inference('cnf.neg', [status(esa)], [qg1_2])).
% 0.20/0.78 thf(zip_derived_cl12, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.20/0.78 ( (equalish @ X0 @ X1)
% 0.20/0.78 | ~ (product @ X2 @ X1 @ X3)
% 0.20/0.78 | ~ (product @ X2 @ X0 @ X4)
% 0.20/0.78 | ~ (product @ X3 @ X1 @ X5)
% 0.20/0.78 | ~ (product @ X4 @ X0 @ X5))),
% 0.20/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.20/0.78 thf(zip_derived_cl5, plain, (~ (equalish @ e_1 @ e_2)),
% 0.20/0.78 inference('cnf', [status(esa)], [e_1_is_not_e_2])).
% 0.20/0.78 thf(zip_derived_cl22, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.78 (~ (product @ X1 @ e_1 @ X0)
% 0.20/0.78 | ~ (product @ X2 @ e_2 @ X0)
% 0.20/0.78 | ~ (product @ X3 @ e_1 @ X1)
% 0.20/0.78 | ~ (product @ X3 @ e_2 @ X2))),
% 0.20/0.78 inference('dp-resolution', [status(thm)],
% 0.20/0.78 [zip_derived_cl12, zip_derived_cl5])).
% 0.20/0.78 thf(zip_derived_cl48, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (product @ X0 @ e_2 @ X1)
% 0.20/0.78 | ~ (product @ X0 @ e_1 @ X0)
% 0.20/0.78 | ~ (product @ X1 @ e_2 @ X0))),
% 0.20/0.78 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 0.20/0.78 thf(zip_derived_cl62, plain,
% 0.20/0.78 (( (product @ e_1 @ e_2 @ e_1)
% 0.20/0.78 | ~ (product @ e_1 @ e_1 @ e_1)
% 0.20/0.78 | ~ (product @ e_2 @ e_2 @ e_1))),
% 0.20/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl48])).
% 0.20/0.78 thf(zip_derived_cl38, plain,
% 0.20/0.78 (( (product @ e_2 @ e_2 @ e_1) | (product @ e_2 @ e_2 @ e_2))),
% 0.20/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl4])).
% 0.20/0.78 thf(zip_derived_cl16, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.20/0.78 inference('dp-resolution', [status(thm)],
% 0.20/0.78 [zip_derived_cl9, zip_derived_cl5])).
% 0.20/0.78 thf(zip_derived_cl45, plain,
% 0.20/0.78 (( (product @ e_2 @ e_2 @ e_1) | ~ (product @ e_2 @ e_1 @ e_2))),
% 0.20/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl16])).
% 0.20/0.78 thf(zip_derived_cl82, plain, ( (product @ e_2 @ e_1 @ e_2)),
% 0.20/0.78 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl78])).
% 0.20/0.78 thf(zip_derived_cl83, plain, ( (product @ e_2 @ e_2 @ e_1)),
% 0.20/0.78 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl82])).
% 0.20/0.78 thf(zip_derived_cl101, plain,
% 0.20/0.78 (( (product @ e_1 @ e_2 @ e_1) | ~ (product @ e_1 @ e_1 @ e_1))),
% 0.20/0.78 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl83])).
% 0.20/0.78 thf(zip_derived_cl16, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 (~ (product @ X1 @ e_2 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.20/0.78 inference('dp-resolution', [status(thm)],
% 0.20/0.78 [zip_derived_cl9, zip_derived_cl5])).
% 0.20/0.78 thf(zip_derived_cl102, plain, (~ (product @ e_1 @ e_1 @ e_1)),
% 0.20/0.78 inference('clc', [status(thm)], [zip_derived_cl101, zip_derived_cl16])).
% 0.20/0.78 thf(zip_derived_cl103, plain, ( (product @ e_1 @ e_1 @ e_2)),
% 0.20/0.78 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl102])).
% 0.20/0.78 thf(zip_derived_cl118, plain, ($false),
% 0.20/0.78 inference('demod', [status(thm)], [zip_derived_cl86, zip_derived_cl103])).
% 0.20/0.78
% 0.20/0.78 % SZS output end Refutation
% 0.20/0.78
% 0.20/0.78
% 0.20/0.78 % Terminating...
% 1.28/0.86 % Runner terminated.
% 1.28/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------