TSTP Solution File: HEN005-4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : HEN005-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WSKqmA9RFz true

% Computer : n001.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 01:57:45 EDT 2023

% Result   : Unsatisfiable 0.21s 0.79s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : HEN005-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WSKqmA9RFz true
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 13:59:41 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.79  % Solved by fo/fo6_bce.sh.
% 0.21/0.79  % BCE start: 14
% 0.21/0.79  % BCE eliminated: 0
% 0.21/0.79  % PE start: 14
% 0.21/0.79  logic: eq
% 0.21/0.79  % PE eliminated: 0
% 0.21/0.79  % done 58 iterations in 0.044s
% 0.21/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.79  % SZS output start Refutation
% 0.21/0.79  thf(zero_type, type, zero: $i).
% 0.21/0.79  thf(divide_type, type, divide: $i > $i > $i).
% 0.21/0.79  thf(a_type, type, a: $i).
% 0.21/0.79  thf(c_type, type, c: $i).
% 0.21/0.79  thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.21/0.79  thf(b_type, type, b: $i).
% 0.21/0.79  thf(a_LE_b, axiom, (less_equal @ a @ b)).
% 0.21/0.79  thf(zip_derived_cl11, plain, ( (less_equal @ a @ b)),
% 0.21/0.79      inference('cnf', [status(esa)], [a_LE_b])).
% 0.21/0.79  thf(quotient_less_equal1, axiom,
% 0.21/0.79    (( ~( less_equal @ X @ Y ) ) | ( ( divide @ X @ Y ) = ( zero ) ))).
% 0.21/0.79  thf(zip_derived_cl0, plain,
% 0.21/0.79      (![X0 : $i, X1 : $i]:
% 0.21/0.79         (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 0.21/0.79      inference('cnf', [status(esa)], [quotient_less_equal1])).
% 0.21/0.79  thf(zip_derived_cl41, plain, (((divide @ a @ b) = (zero))),
% 0.21/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 0.21/0.79  thf(b_LE_c, axiom, (less_equal @ b @ c)).
% 0.21/0.79  thf(zip_derived_cl12, plain, ( (less_equal @ b @ c)),
% 0.21/0.79      inference('cnf', [status(esa)], [b_LE_c])).
% 0.21/0.79  thf(zip_derived_cl0, plain,
% 0.21/0.79      (![X0 : $i, X1 : $i]:
% 0.21/0.79         (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 0.21/0.79      inference('cnf', [status(esa)], [quotient_less_equal1])).
% 0.21/0.79  thf(zip_derived_cl42, plain, (((divide @ b @ c) = (zero))),
% 0.21/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 0.21/0.79  thf(quotient_property, axiom,
% 0.21/0.79    (less_equal @
% 0.21/0.79     ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @ 
% 0.21/0.79     ( divide @ ( divide @ X @ Y ) @ Z ))).
% 0.21/0.79  thf(zip_derived_cl3, plain,
% 0.21/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.79          (less_equal @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @ 
% 0.21/0.79           (divide @ (divide @ X0 @ X2) @ X1))),
% 0.21/0.79      inference('cnf', [status(esa)], [quotient_property])).
% 0.21/0.79  thf(zip_derived_cl61, plain,
% 0.21/0.79      (![X0 : $i]:
% 0.21/0.79          (less_equal @ (divide @ (divide @ X0 @ c) @ zero) @ 
% 0.21/0.79           (divide @ (divide @ X0 @ b) @ c))),
% 0.21/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl3])).
% 0.21/0.79  thf(x_divide_zero_is_x, axiom, (( divide @ X @ zero ) = ( X ))).
% 0.21/0.79  thf(zip_derived_cl10, plain, (![X0 : $i]: ((divide @ X0 @ zero) = (X0))),
% 0.21/0.79      inference('cnf', [status(esa)], [x_divide_zero_is_x])).
% 0.21/0.79  thf(zip_derived_cl333, plain,
% 0.21/0.79      (![X0 : $i]:
% 0.21/0.79          (less_equal @ (divide @ X0 @ c) @ (divide @ (divide @ X0 @ b) @ c))),
% 0.21/0.79      inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl10])).
% 0.21/0.79  thf(zip_derived_cl340, plain,
% 0.21/0.79      ( (less_equal @ (divide @ a @ c) @ (divide @ zero @ c))),
% 0.21/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl333])).
% 0.21/0.79  thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 0.21/0.79  thf(zip_derived_cl4, plain, (![X0 : $i]:  (less_equal @ zero @ X0)),
% 0.21/0.79      inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.21/0.79  thf(zip_derived_cl0, plain,
% 0.21/0.79      (![X0 : $i, X1 : $i]:
% 0.21/0.79         (~ (less_equal @ X0 @ X1) | ((divide @ X0 @ X1) = (zero)))),
% 0.21/0.79      inference('cnf', [status(esa)], [quotient_less_equal1])).
% 0.21/0.79  thf(zip_derived_cl40, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 0.21/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.21/0.79  thf(zip_derived_cl349, plain, ( (less_equal @ (divide @ a @ c) @ zero)),
% 0.21/0.79      inference('demod', [status(thm)], [zip_derived_cl340, zip_derived_cl40])).
% 0.21/0.79  thf(less_equal_and_equal, axiom,
% 0.21/0.79    (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) | 
% 0.21/0.79     ( ( X ) = ( Y ) ))).
% 0.21/0.79  thf(zip_derived_cl5, plain,
% 0.21/0.79      (![X0 : $i, X1 : $i]:
% 0.21/0.79         (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.21/0.79      inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.21/0.79  thf(zip_derived_cl354, plain,
% 0.21/0.79      ((~ (less_equal @ zero @ (divide @ a @ c)) | ((divide @ a @ c) = (zero)))),
% 0.21/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl349, zip_derived_cl5])).
% 0.21/0.79  thf(zip_derived_cl4, plain, (![X0 : $i]:  (less_equal @ zero @ X0)),
% 0.21/0.79      inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.21/0.79  thf(zip_derived_cl356, plain, (((divide @ a @ c) = (zero))),
% 0.21/0.79      inference('demod', [status(thm)], [zip_derived_cl354, zip_derived_cl4])).
% 0.21/0.79  thf(quotient_less_equal2, axiom,
% 0.21/0.79    (( ( divide @ X @ Y ) != ( zero ) ) | ( less_equal @ X @ Y ))).
% 0.21/0.79  thf(zip_derived_cl1, plain,
% 0.21/0.79      (![X0 : $i, X1 : $i]:
% 0.21/0.79         (((divide @ X0 @ X1) != (zero)) |  (less_equal @ X0 @ X1))),
% 0.21/0.79      inference('cnf', [status(esa)], [quotient_less_equal2])).
% 0.21/0.79  thf(prove_a_LE_c, conjecture, (less_equal @ a @ c)).
% 0.21/0.79  thf(zf_stmt_0, negated_conjecture, (~( less_equal @ a @ c )),
% 0.21/0.79    inference('cnf.neg', [status(esa)], [prove_a_LE_c])).
% 0.21/0.79  thf(zip_derived_cl13, plain, (~ (less_equal @ a @ c)),
% 0.21/0.79      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.79  thf(zip_derived_cl45, plain, (((divide @ a @ c) != (zero))),
% 0.21/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 0.21/0.79  thf(zip_derived_cl357, plain, ($false),
% 0.21/0.79      inference('simplify_reflect-', [status(thm)],
% 0.21/0.79                [zip_derived_cl356, zip_derived_cl45])).
% 0.21/0.79  
% 0.21/0.79  % SZS output end Refutation
% 0.21/0.79  
% 0.21/0.79  
% 0.21/0.79  % Terminating...
% 1.27/0.84  % Runner terminated.
% 1.27/0.85  % Zipperpin 1.5 exiting
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