TSTP Solution File: GRP125-1.003 by Zipperpin---2.1.999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.999
% Problem  : GRP125-1.003 : TPTP v8.1.0. 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.ubGinmUSp5 true

% Computer : n002.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 : Fri Sep 16 22:30:46 EDT 2022

% Result   : Unsatisfiable 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ubGinmUSp5 true
% 0.13/0.34  % Computer : n002.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 : Wed Aug 31 15:08:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.21/0.34  % 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
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77  % Solved by fo/fo3_bce.sh.
% 0.56/0.77  % BCE start: 15
% 0.56/0.77  % BCE eliminated: 0
% 0.56/0.77  % PE start: 15
% 0.56/0.77  logic: neq
% 0.56/0.77  % PE eliminated: -9
% 0.56/0.77  % done 106 iterations in 0.044s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% 0.56/0.77  thf(e_1_type, type, e_1: $i).
% 0.56/0.77  thf(e_3_type, type, e_3: $i).
% 0.56/0.77  thf(group_element_type, type, group_element: $i > $o).
% 0.56/0.77  thf(e_2_type, type, e_2: $i).
% 0.56/0.77  thf(product_type, type, product: $i > $i > $i > $o).
% 0.56/0.77  thf(equalish_type, type, equalish: $i > $i > $o).
% 0.56/0.77  thf(product_left_cancellation, axiom,
% 0.56/0.77    (( ~( product @ W @ Y @ X ) ) | ( ~( product @ Z @ Y @ X ) ) | 
% 0.56/0.77     ( equalish @ W @ Z ))).
% 0.56/0.77  thf(zip_derived_cl12, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77         (~ (product @ X0 @ X1 @ X2)
% 0.56/0.77          | ~ (product @ X3 @ X1 @ X2)
% 0.56/0.77          |  (equalish @ X0 @ X3))),
% 0.56/0.77      inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.56/0.77  thf(e_1_is_not_e_3, axiom, (~( equalish @ e_1 @ e_3 ))).
% 0.56/0.77  thf(zip_derived_cl4, plain, (~ (equalish @ e_1 @ e_3)),
% 0.56/0.77      inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 0.56/0.77  thf(zip_derived_cl28, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.56/0.77      inference('dp-resolution', [status(thm)],
% 0.56/0.77                [zip_derived_cl12, zip_derived_cl4])).
% 0.56/0.77  thf(product_total_function1, axiom,
% 0.56/0.77    (( ~( group_element @ X ) ) | ( ~( group_element @ Y ) ) | 
% 0.56/0.77     ( product @ X @ Y @ e_1 ) | ( product @ X @ Y @ e_2 ) | 
% 0.56/0.77     ( product @ X @ Y @ e_3 ))).
% 0.56/0.77  thf(zip_derived_cl9, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         (~ (group_element @ X0)
% 0.56/0.77          | ~ (group_element @ X1)
% 0.56/0.77          |  (product @ X0 @ X1 @ e_1)
% 0.56/0.77          |  (product @ X0 @ X1 @ e_2)
% 0.56/0.77          |  (product @ X0 @ X1 @ e_3))),
% 0.56/0.77      inference('cnf', [status(esa)], [product_total_function1])).
% 0.56/0.77  thf(product_right_cancellation, axiom,
% 0.56/0.77    (( ~( product @ X @ W @ Y ) ) | ( ~( product @ X @ Z @ Y ) ) | 
% 0.56/0.77     ( equalish @ W @ Z ))).
% 0.56/0.77  thf(zip_derived_cl11, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77         (~ (product @ X0 @ X1 @ X2)
% 0.56/0.77          | ~ (product @ X0 @ X3 @ X2)
% 0.56/0.77          |  (equalish @ X1 @ X3))),
% 0.56/0.77      inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.56/0.77  thf(zip_derived_cl4, plain, (~ (equalish @ e_1 @ e_3)),
% 0.56/0.77      inference('cnf', [status(esa)], [e_1_is_not_e_3])).
% 0.56/0.77  thf(zip_derived_cl22, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         (~ (product @ X1 @ e_3 @ X0) | ~ (product @ X1 @ e_1 @ X0))),
% 0.56/0.77      inference('dp-resolution', [status(thm)],
% 0.56/0.77                [zip_derived_cl11, zip_derived_cl4])).
% 0.56/0.77  thf(product_idempotence, axiom, (product @ X @ X @ X)).
% 0.56/0.77  thf(zip_derived_cl13, plain, (![X0 : $i]:  (product @ X0 @ X0 @ X0)),
% 0.56/0.77      inference('cnf', [status(esa)], [product_idempotence])).
% 0.56/0.77  thf(zip_derived_cl57, plain, (~ (product @ e_3 @ e_1 @ e_3)),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl13])).
% 0.56/0.77  thf(zip_derived_cl92, plain,
% 0.56/0.77      (( (product @ e_3 @ e_1 @ e_2)
% 0.56/0.77        |  (product @ e_3 @ e_1 @ e_1)
% 0.56/0.77        | ~ (group_element @ e_1)
% 0.56/0.77        | ~ (group_element @ e_3))),
% 0.56/0.77      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl57])).
% 0.56/0.77  thf(element_1, axiom, (group_element @ e_1)).
% 0.56/0.77  thf(zip_derived_cl0, plain, ( (group_element @ e_1)),
% 0.56/0.77      inference('cnf', [status(esa)], [element_1])).
% 0.56/0.77  thf(element_3, axiom, (group_element @ e_3)).
% 0.56/0.77  thf(zip_derived_cl2, plain, ( (group_element @ e_3)),
% 0.56/0.77      inference('cnf', [status(esa)], [element_3])).
% 0.56/0.77  thf(zip_derived_cl93, plain,
% 0.56/0.77      (( (product @ e_3 @ e_1 @ e_2) |  (product @ e_3 @ e_1 @ e_1))),
% 0.56/0.77      inference('demod', [status(thm)],
% 0.56/0.77                [zip_derived_cl92, zip_derived_cl0, zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl28, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.56/0.77      inference('dp-resolution', [status(thm)],
% 0.56/0.77                [zip_derived_cl12, zip_derived_cl4])).
% 0.56/0.77  thf(zip_derived_cl101, plain,
% 0.56/0.77      (( (product @ e_3 @ e_1 @ e_1) | ~ (product @ e_1 @ e_1 @ e_2))),
% 0.56/0.77      inference('sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl28])).
% 0.56/0.77  thf(zip_derived_cl214, plain,
% 0.56/0.77      ((~ (product @ e_1 @ e_1 @ e_1) | ~ (product @ e_1 @ e_1 @ e_2))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl101])).
% 0.56/0.77  thf(zip_derived_cl13, plain, (![X0 : $i]:  (product @ X0 @ X0 @ X0)),
% 0.56/0.77      inference('cnf', [status(esa)], [product_idempotence])).
% 0.56/0.77  thf(zip_derived_cl216, plain, (~ (product @ e_1 @ e_1 @ e_2)),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl214, zip_derived_cl13])).
% 0.56/0.77  thf(zip_derived_cl11, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77         (~ (product @ X0 @ X1 @ X2)
% 0.56/0.77          | ~ (product @ X0 @ X3 @ X2)
% 0.56/0.77          |  (equalish @ X1 @ X3))),
% 0.56/0.77      inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.56/0.77  thf(e_2_is_not_e_3, axiom, (~( equalish @ e_2 @ e_3 ))).
% 0.56/0.77  thf(zip_derived_cl6, plain, (~ (equalish @ e_2 @ e_3)),
% 0.56/0.77      inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 0.56/0.77  thf(zip_derived_cl24, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         (~ (product @ X1 @ e_3 @ X0) | ~ (product @ X1 @ e_2 @ X0))),
% 0.56/0.77      inference('dp-resolution', [status(thm)],
% 0.56/0.77                [zip_derived_cl11, zip_derived_cl6])).
% 0.56/0.77  thf(zip_derived_cl12, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77         (~ (product @ X0 @ X1 @ X2)
% 0.56/0.77          | ~ (product @ X3 @ X1 @ X2)
% 0.56/0.77          |  (equalish @ X0 @ X3))),
% 0.56/0.77      inference('cnf', [status(esa)], [product_left_cancellation])).
% 0.56/0.77  thf(zip_derived_cl6, plain, (~ (equalish @ e_2 @ e_3)),
% 0.56/0.77      inference('cnf', [status(esa)], [e_2_is_not_e_3])).
% 0.56/0.77  thf(zip_derived_cl30, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_2 @ X1 @ X0))),
% 0.56/0.77      inference('dp-resolution', [status(thm)],
% 0.56/0.77                [zip_derived_cl12, zip_derived_cl6])).
% 0.56/0.77  thf(zip_derived_cl9, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         (~ (group_element @ X0)
% 0.56/0.77          | ~ (group_element @ X1)
% 0.56/0.77          |  (product @ X0 @ X1 @ e_1)
% 0.56/0.77          |  (product @ X0 @ X1 @ e_2)
% 0.56/0.77          |  (product @ X0 @ X1 @ e_3))),
% 0.56/0.77      inference('cnf', [status(esa)], [product_total_function1])).
% 0.56/0.77  thf(zip_derived_cl24, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         (~ (product @ X1 @ e_3 @ X0) | ~ (product @ X1 @ e_2 @ X0))),
% 0.56/0.77      inference('dp-resolution', [status(thm)],
% 0.56/0.77                [zip_derived_cl11, zip_derived_cl6])).
% 0.56/0.77  thf(zip_derived_cl13, plain, (![X0 : $i]:  (product @ X0 @ X0 @ X0)),
% 0.56/0.77      inference('cnf', [status(esa)], [product_idempotence])).
% 0.56/0.77  thf(zip_derived_cl63, plain, (~ (product @ e_3 @ e_2 @ e_3)),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl13])).
% 0.56/0.77  thf(zip_derived_cl96, plain,
% 0.56/0.77      (( (product @ e_3 @ e_2 @ e_2)
% 0.56/0.77        |  (product @ e_3 @ e_2 @ e_1)
% 0.56/0.77        | ~ (group_element @ e_2)
% 0.56/0.77        | ~ (group_element @ e_3))),
% 0.56/0.77      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl63])).
% 0.56/0.77  thf(element_2, axiom, (group_element @ e_2)).
% 0.56/0.77  thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.56/0.77      inference('cnf', [status(esa)], [element_2])).
% 0.56/0.77  thf(zip_derived_cl2, plain, ( (group_element @ e_3)),
% 0.56/0.77      inference('cnf', [status(esa)], [element_3])).
% 0.56/0.77  thf(zip_derived_cl97, plain,
% 0.56/0.77      (( (product @ e_3 @ e_2 @ e_2) |  (product @ e_3 @ e_2 @ e_1))),
% 0.56/0.77      inference('demod', [status(thm)],
% 0.56/0.77                [zip_derived_cl96, zip_derived_cl1, zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl229, plain,
% 0.56/0.77      ((~ (product @ e_2 @ e_2 @ e_2) |  (product @ e_3 @ e_2 @ e_1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl97])).
% 0.56/0.77  thf(zip_derived_cl13, plain, (![X0 : $i]:  (product @ X0 @ X0 @ X0)),
% 0.56/0.77      inference('cnf', [status(esa)], [product_idempotence])).
% 0.56/0.77  thf(zip_derived_cl231, plain, ( (product @ e_3 @ e_2 @ e_1)),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl13])).
% 0.56/0.77  thf(zip_derived_cl9, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         (~ (group_element @ X0)
% 0.56/0.77          | ~ (group_element @ X1)
% 0.56/0.77          |  (product @ X0 @ X1 @ e_1)
% 0.56/0.77          |  (product @ X0 @ X1 @ e_2)
% 0.56/0.77          |  (product @ X0 @ X1 @ e_3))),
% 0.56/0.77      inference('cnf', [status(esa)], [product_total_function1])).
% 0.56/0.77  thf(qg3, conjecture,
% 0.56/0.77    (~( ( product @ Z1 @ Z2 @ X ) | ( ~( product @ Y @ X @ Z2 ) ) | 
% 0.56/0.77        ( ~( product @ X @ Y @ Z1 ) ) ))).
% 0.56/0.77  thf(zf_stmt_0, negated_conjecture,
% 0.56/0.77    (( product @ Z1 @ Z2 @ X ) | ( ~( product @ Y @ X @ Z2 ) ) | 
% 0.56/0.77     ( ~( product @ X @ Y @ Z1 ) )),
% 0.56/0.77    inference('cnf.neg', [status(esa)], [qg3])).
% 0.56/0.77  thf(zip_derived_cl14, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77         ( (product @ X0 @ X1 @ X2)
% 0.56/0.77          | ~ (product @ X3 @ X2 @ X1)
% 0.56/0.77          | ~ (product @ X2 @ X3 @ X0))),
% 0.56/0.77      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77  thf(zip_derived_cl36, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.77         ( (product @ X1 @ X0 @ e_2)
% 0.56/0.77          |  (product @ X1 @ X0 @ e_1)
% 0.56/0.77          | ~ (group_element @ X0)
% 0.56/0.77          | ~ (group_element @ X1)
% 0.56/0.77          | ~ (product @ X0 @ X1 @ X2)
% 0.56/0.77          |  (product @ X2 @ e_3 @ X0))),
% 0.56/0.77      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl14])).
% 0.56/0.77  thf(zip_derived_cl246, plain,
% 0.56/0.77      (( (product @ e_1 @ e_3 @ e_3)
% 0.56/0.77        | ~ (group_element @ e_2)
% 0.56/0.77        | ~ (group_element @ e_3)
% 0.56/0.77        |  (product @ e_2 @ e_3 @ e_1)
% 0.56/0.77        |  (product @ e_2 @ e_3 @ e_2))),
% 0.56/0.77      inference('sup-', [status(thm)], [zip_derived_cl231, zip_derived_cl36])).
% 0.56/0.77  thf(zip_derived_cl28, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         (~ (product @ e_3 @ X1 @ X0) | ~ (product @ e_1 @ X1 @ X0))),
% 0.56/0.77      inference('dp-resolution', [status(thm)],
% 0.56/0.77                [zip_derived_cl12, zip_derived_cl4])).
% 0.56/0.77  thf(zip_derived_cl13, plain, (![X0 : $i]:  (product @ X0 @ X0 @ X0)),
% 0.56/0.77      inference('cnf', [status(esa)], [product_idempotence])).
% 0.56/0.77  thf(zip_derived_cl79, plain, (~ (product @ e_1 @ e_3 @ e_3)),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl13])).
% 0.56/0.77  thf(zip_derived_cl1, plain, ( (group_element @ e_2)),
% 0.56/0.77      inference('cnf', [status(esa)], [element_2])).
% 0.56/0.77  thf(zip_derived_cl2, plain, ( (group_element @ e_3)),
% 0.56/0.77      inference('cnf', [status(esa)], [element_3])).
% 0.56/0.77  thf(zip_derived_cl254, plain,
% 0.56/0.77      (( (product @ e_2 @ e_3 @ e_1) |  (product @ e_2 @ e_3 @ e_2))),
% 0.56/0.77      inference('demod', [status(thm)],
% 0.56/0.77                [zip_derived_cl246, zip_derived_cl79, zip_derived_cl1, 
% 0.56/0.77                 zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl316, plain,
% 0.56/0.77      ((~ (product @ e_2 @ e_2 @ e_2) |  (product @ e_2 @ e_3 @ e_1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl254])).
% 0.56/0.77  thf(zip_derived_cl13, plain, (![X0 : $i]:  (product @ X0 @ X0 @ X0)),
% 0.56/0.77      inference('cnf', [status(esa)], [product_idempotence])).
% 0.56/0.77  thf(zip_derived_cl319, plain, ( (product @ e_2 @ e_3 @ e_1)),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl316, zip_derived_cl13])).
% 0.56/0.77  thf(zip_derived_cl231, plain, ( (product @ e_3 @ e_2 @ e_1)),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl13])).
% 0.56/0.77  thf(zip_derived_cl14, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77         ( (product @ X0 @ X1 @ X2)
% 0.56/0.77          | ~ (product @ X3 @ X2 @ X1)
% 0.56/0.77          | ~ (product @ X2 @ X3 @ X0))),
% 0.56/0.77      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77  thf(zip_derived_cl247, plain,
% 0.56/0.77      (![X0 : $i]: (~ (product @ e_2 @ e_3 @ X0) |  (product @ X0 @ e_1 @ e_2))),
% 0.56/0.77      inference('sup-', [status(thm)], [zip_derived_cl231, zip_derived_cl14])).
% 0.56/0.77  thf(zip_derived_cl329, plain, ( (product @ e_1 @ e_1 @ e_2)),
% 0.56/0.77      inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl247])).
% 0.56/0.77  thf(zip_derived_cl377, plain, ($false),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl216, zip_derived_cl329])).
% 0.56/0.77  
% 0.56/0.77  % SZS output end Refutation
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 0.56/0.84  % Runner terminated.
% 1.74/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------