TSTP Solution File: SET120-7 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET120-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0iQvZRnw4M true

% Computer : n021.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 16:12:54 EDT 2023

% Result   : Unsatisfiable 1.25s 0.97s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET120-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0iQvZRnw4M true
% 0.13/0.36  % Computer : n021.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Sat Aug 26 16:04:42 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.37  % Python version: Python 3.6.8
% 0.13/0.37  % Running in FO mode
% 0.23/0.68  % Total configuration time : 435
% 0.23/0.68  % Estimated wc time : 1092
% 0.23/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.81  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.82  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.89/0.84  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.97  % Solved by fo/fo4.sh.
% 1.25/0.97  % done 119 iterations in 0.062s
% 1.25/0.97  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.25/0.97  % SZS output start Refutation
% 1.25/0.97  thf(universal_class_type, type, universal_class: $i).
% 1.25/0.97  thf(member_type, type, member: $i > $i > $o).
% 1.25/0.97  thf(second_type, type, second: $i > $i).
% 1.25/0.97  thf(x_type, type, x: $i).
% 1.25/0.97  thf(y_type, type, y: $i).
% 1.25/0.97  thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.25/0.97  thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.25/0.97  thf(first_type, type, first: $i > $i).
% 1.25/0.97  thf(existence_of_1st_and_2nd_5, axiom,
% 1.25/0.97    (( ( ordered_pair @ ( first @ X ) @ ( second @ X ) ) = ( X ) ) | 
% 1.25/0.97     ( ( second @ X ) = ( X ) ))).
% 1.25/0.97  thf(zip_derived_cl14, plain,
% 1.25/0.97      (![X0 : $i]:
% 1.25/0.97         (((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0))
% 1.25/0.97          | ((second @ X0) = (X0)))),
% 1.25/0.97      inference('cnf', [status(esa)], [existence_of_1st_and_2nd_5])).
% 1.25/0.97  thf(existence_of_1st_and_2nd_3, axiom,
% 1.25/0.97    (( member @
% 1.25/0.97       ( ordered_pair @ ( first @ X ) @ ( second @ X ) ) @ 
% 1.25/0.97       ( cross_product @ universal_class @ universal_class ) ) | 
% 1.25/0.97     ( ( second @ X ) = ( X ) ))).
% 1.25/0.97  thf(zip_derived_cl12, plain,
% 1.25/0.97      (![X0 : $i]:
% 1.25/0.97         ( (member @ (ordered_pair @ (first @ X0) @ (second @ X0)) @ 
% 1.25/0.97            (cross_product @ universal_class @ universal_class))
% 1.25/0.97          | ((second @ X0) = (X0)))),
% 1.25/0.97      inference('cnf', [status(esa)], [existence_of_1st_and_2nd_3])).
% 1.25/0.97  thf(zip_derived_cl108, plain,
% 1.25/0.97      (![X0 : $i]:
% 1.25/0.97         ( (member @ X0 @ (cross_product @ universal_class @ universal_class))
% 1.25/0.97          | ((second @ X0) = (X0))
% 1.25/0.97          | ((second @ X0) = (X0)))),
% 1.25/0.97      inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl12])).
% 1.25/0.97  thf(zip_derived_cl110, plain,
% 1.25/0.97      (![X0 : $i]:
% 1.25/0.97         (((second @ X0) = (X0))
% 1.25/0.97          |  (member @ X0 @ (cross_product @ universal_class @ universal_class)))),
% 1.25/0.97      inference('simplify', [status(thm)], [zip_derived_cl108])).
% 1.25/0.97  thf(cartesian_product1, axiom,
% 1.25/0.97    (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) | 
% 1.25/0.97     ( member @ U @ X ))).
% 1.25/0.97  thf(zip_derived_cl0, plain,
% 1.25/0.97      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.25/0.97         (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.25/0.97          |  (member @ X0 @ X2))),
% 1.25/0.97      inference('cnf', [status(esa)], [cartesian_product1])).
% 1.25/0.97  thf(zip_derived_cl220, plain,
% 1.25/0.97      (![X0 : $i, X1 : $i]:
% 1.25/0.97         (((second @ (ordered_pair @ X1 @ X0)) = (ordered_pair @ X1 @ X0))
% 1.25/0.97          |  (member @ X1 @ universal_class))),
% 1.25/0.97      inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 1.25/0.97  thf(prove_corollary_2_to_OP_determines_components1_2, conjecture,
% 1.25/0.97    (( second @ ( ordered_pair @ x @ y ) ) = ( ordered_pair @ x @ y ))).
% 1.25/0.97  thf(zf_stmt_0, negated_conjecture,
% 1.25/0.97    (( second @ ( ordered_pair @ x @ y ) ) != ( ordered_pair @ x @ y )),
% 1.25/0.97    inference('cnf.neg', [status(esa)],
% 1.25/0.97              [prove_corollary_2_to_OP_determines_components1_2])).
% 1.25/0.97  thf(zip_derived_cl21, plain,
% 1.25/0.97      (((second @ (ordered_pair @ x @ y)) != (ordered_pair @ x @ y))),
% 1.25/0.97      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.25/0.97  thf(zip_derived_cl405, plain,
% 1.25/0.97      ((((ordered_pair @ x @ y) != (ordered_pair @ x @ y))
% 1.25/0.97        |  (member @ x @ universal_class))),
% 1.25/0.97      inference('sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl21])).
% 1.25/0.97  thf(prove_corollary_2_to_OP_determines_components1_1, conjecture,
% 1.25/0.97    (member @ x @ universal_class)).
% 1.25/0.97  thf(zf_stmt_1, negated_conjecture, (~( member @ x @ universal_class )),
% 1.25/0.97    inference('cnf.neg', [status(esa)],
% 1.25/0.97              [prove_corollary_2_to_OP_determines_components1_1])).
% 1.25/0.97  thf(zip_derived_cl22, plain, (~ (member @ x @ universal_class)),
% 1.25/0.97      inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.25/0.97  thf(zip_derived_cl410, plain,
% 1.25/0.97      (((ordered_pair @ x @ y) != (ordered_pair @ x @ y))),
% 1.25/0.97      inference('demod', [status(thm)], [zip_derived_cl405, zip_derived_cl22])).
% 1.25/0.97  thf(zip_derived_cl411, plain, ($false),
% 1.25/0.97      inference('simplify', [status(thm)], [zip_derived_cl410])).
% 1.25/0.97  
% 1.25/0.97  % SZS output end Refutation
% 1.25/0.97  
% 1.25/0.97  
% 1.25/0.97  % Terminating...
% 1.43/1.12  % Runner terminated.
% 1.43/1.13  % Zipperpin 1.5 exiting
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