TSTP Solution File: SET234-6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET234-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IaJOxqYx6w true

% Computer : n032.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 16:13:31 EDT 2023

% Result   : Unsatisfiable 0.16s 0.63s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET234-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IaJOxqYx6w true
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Sat Aug 26 15:57:59 EDT 2023
% 0.11/0.30  % CPUTime  : 
% 0.11/0.30  % Running portfolio for 300 s
% 0.11/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.30  % Number of cores: 8
% 0.11/0.30  % Python version: Python 3.6.8
% 0.11/0.30  % Running in FO mode
% 0.16/0.51  % Total configuration time : 435
% 0.16/0.51  % Estimated wc time : 1092
% 0.16/0.51  % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.56  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.56  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.56  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.56  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.57  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.63  % Solved by fo/fo4.sh.
% 0.16/0.63  % done 38 iterations in 0.025s
% 0.16/0.63  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.16/0.63  % SZS output start Refutation
% 0.16/0.63  thf(member_type, type, member: $i > $i > $o).
% 0.16/0.63  thf(second_type, type, second: $i > $i).
% 0.16/0.63  thf(x_type, type, x: $i).
% 0.16/0.63  thf(subclass_type, type, subclass: $i > $i > $o).
% 0.16/0.63  thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.16/0.63  thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.16/0.63  thf(first_type, type, first: $i > $i).
% 0.16/0.63  thf(y_type, type, y: $i).
% 0.16/0.63  thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 0.16/0.63  thf(z_type, type, z: $i).
% 0.16/0.63  thf(prove_cross_product_property9_2, conjecture,
% 0.16/0.63    (subclass @ ( cross_product @ x @ y ) @ z)).
% 0.16/0.63  thf(zf_stmt_0, negated_conjecture,
% 0.16/0.63    (~( subclass @ ( cross_product @ x @ y ) @ z )),
% 0.16/0.63    inference('cnf.neg', [status(esa)], [prove_cross_product_property9_2])).
% 0.16/0.63  thf(zip_derived_cl14, plain, (~ (subclass @ (cross_product @ x @ y) @ z)),
% 0.16/0.63      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.16/0.63  thf(not_subclass_members1, axiom,
% 0.16/0.63    (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 0.16/0.63  thf(zip_derived_cl1, plain,
% 0.16/0.63      (![X0 : $i, X1 : $i]:
% 0.16/0.63         ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.16/0.63          |  (subclass @ X0 @ X1))),
% 0.16/0.63      inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.16/0.63  thf(cartesian_product4, axiom,
% 0.16/0.63    (( ~( member @ Z @ ( cross_product @ X @ Y ) ) ) | 
% 0.16/0.63     ( ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) = ( Z ) ))).
% 0.16/0.63  thf(zip_derived_cl10, plain,
% 0.16/0.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.16/0.63         (~ (member @ X0 @ (cross_product @ X1 @ X2))
% 0.16/0.63          | ((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0)))),
% 0.16/0.63      inference('cnf', [status(esa)], [cartesian_product4])).
% 0.16/0.63  thf(zip_derived_cl57, plain,
% 0.16/0.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.16/0.63         ( (subclass @ (cross_product @ X1 @ X0) @ X2)
% 0.16/0.63          | ((ordered_pair @ 
% 0.16/0.63              (first @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)) @ 
% 0.16/0.63              (second @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)))
% 0.16/0.63              = (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)))),
% 0.16/0.63      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 0.16/0.63  thf(prove_cross_product_property9_1, conjecture,
% 0.16/0.63    (~( member @
% 0.16/0.63        ( ordered_pair @
% 0.16/0.63          ( first @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) @ 
% 0.16/0.63          ( second @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) ) @ 
% 0.16/0.63        z ))).
% 0.16/0.63  thf(zf_stmt_1, negated_conjecture,
% 0.16/0.63    (member @
% 0.16/0.63     ( ordered_pair @
% 0.16/0.63       ( first @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) @ 
% 0.16/0.63       ( second @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) ) @ 
% 0.16/0.63     z),
% 0.16/0.63    inference('cnf.neg', [status(esa)], [prove_cross_product_property9_1])).
% 0.16/0.63  thf(zip_derived_cl15, plain,
% 0.16/0.63      ( (member @ 
% 0.16/0.63         (ordered_pair @ 
% 0.16/0.63          (first @ (not_subclass_element @ (cross_product @ x @ y) @ z)) @ 
% 0.16/0.63          (second @ (not_subclass_element @ (cross_product @ x @ y) @ z))) @ 
% 0.16/0.63         z)),
% 0.16/0.63      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.16/0.63  thf(zip_derived_cl93, plain,
% 0.16/0.63      (( (member @ (not_subclass_element @ (cross_product @ x @ y) @ z) @ z)
% 0.16/0.63        |  (subclass @ (cross_product @ x @ y) @ z))),
% 0.16/0.63      inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl15])).
% 0.16/0.63  thf(zip_derived_cl14, plain, (~ (subclass @ (cross_product @ x @ y) @ z)),
% 0.16/0.63      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.16/0.63  thf(zip_derived_cl95, plain,
% 0.16/0.63      ( (member @ (not_subclass_element @ (cross_product @ x @ y) @ z) @ z)),
% 0.16/0.63      inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl14])).
% 0.16/0.63  thf(not_subclass_members2, axiom,
% 0.16/0.63    (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) | 
% 0.16/0.63     ( subclass @ X @ Y ))).
% 0.16/0.63  thf(zip_derived_cl2, plain,
% 0.16/0.63      (![X0 : $i, X1 : $i]:
% 0.16/0.63         (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 0.16/0.63          |  (subclass @ X0 @ X1))),
% 0.16/0.63      inference('cnf', [status(esa)], [not_subclass_members2])).
% 0.16/0.63  thf(zip_derived_cl103, plain, ( (subclass @ (cross_product @ x @ y) @ z)),
% 0.16/0.63      inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl2])).
% 0.16/0.63  thf(zip_derived_cl105, plain, ($false),
% 0.16/0.63      inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl103])).
% 0.16/0.63  
% 0.16/0.63  % SZS output end Refutation
% 0.16/0.63  
% 0.16/0.63  
% 0.16/0.63  % Terminating...
% 0.16/0.72  % Runner terminated.
% 0.16/0.72  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------