TSTP Solution File: HEN004-5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : HEN004-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8lDsTawHpb true

% Computer : n028.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 01:57:44 EDT 2023

% Result   : Unsatisfiable 1.18s 0.79s
% Output   : Refutation 1.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HEN004-5 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8lDsTawHpb true
% 0.14/0.33  % Computer : n028.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Thu Aug 24 13:42:34 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.20/0.34  % Running in FO mode
% 0.20/0.61  % Total configuration time : 435
% 0.20/0.61  % Estimated wc time : 1092
% 0.20/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.18/0.79  % Solved by fo/fo6_bce.sh.
% 1.18/0.79  % BCE start: 7
% 1.18/0.79  % BCE eliminated: 0
% 1.18/0.79  % PE start: 7
% 1.18/0.79  logic: eq
% 1.18/0.79  % PE eliminated: 0
% 1.18/0.79  % done 54 iterations in 0.096s
% 1.18/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.18/0.79  % SZS output start Refutation
% 1.18/0.79  thf(a_type, type, a: $i).
% 1.18/0.79  thf(zero_type, type, zero: $i).
% 1.18/0.79  thf(divide_type, type, divide: $i > $i > $i).
% 1.18/0.79  thf(prove_x_divide_zero_is_x, conjecture, (( divide @ a @ zero ) = ( a ))).
% 1.18/0.79  thf(zf_stmt_0, negated_conjecture, (( divide @ a @ zero ) != ( a )),
% 1.18/0.79    inference('cnf.neg', [status(esa)], [prove_x_divide_zero_is_x])).
% 1.18/0.79  thf(zip_derived_cl6, plain, (((divide @ a @ zero) != (a))),
% 1.18/0.79      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.18/0.79  thf(zero_is_smallest, axiom, (( divide @ zero @ X ) = ( zero ))).
% 1.18/0.79  thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.18/0.79      inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.18/0.79  thf(x_divide_x_is_zero, axiom, (( divide @ X @ X ) = ( zero ))).
% 1.18/0.79  thf(zip_derived_cl5, plain, (![X0 : $i]: ((divide @ X0 @ X0) = (zero))),
% 1.18/0.79      inference('cnf', [status(esa)], [x_divide_x_is_zero])).
% 1.18/0.79  thf(quotient_property, axiom,
% 1.18/0.79    (( divide @
% 1.18/0.79       ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @ 
% 1.18/0.79       ( divide @ ( divide @ X @ Y ) @ Z ) ) =
% 1.18/0.79     ( zero ))).
% 1.18/0.79  thf(zip_derived_cl1, plain,
% 1.18/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.18/0.79         ((divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)) @ 
% 1.18/0.79           (divide @ (divide @ X0 @ X2) @ X1)) = (zero))),
% 1.18/0.79      inference('cnf', [status(esa)], [quotient_property])).
% 1.18/0.79  thf(zip_derived_cl17, plain,
% 1.18/0.79      (![X0 : $i, X1 : $i]:
% 1.18/0.79         ((divide @ 
% 1.18/0.79           (divide @ (divide @ X1 @ (divide @ X1 @ X0)) @ 
% 1.18/0.79            (divide @ X0 @ (divide @ X1 @ X0))) @ 
% 1.18/0.79           zero) = (zero))),
% 1.18/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.18/0.79  thf(zip_derived_cl412, plain,
% 1.18/0.79      (![X0 : $i]:
% 1.18/0.79         ((divide @ (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) @ 
% 1.18/0.79           zero) = (zero))),
% 1.18/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl17])).
% 1.18/0.79  thf(divide_and_equal, axiom,
% 1.18/0.79    (( ( divide @ X @ Y ) != ( zero ) ) | ( ( divide @ Y @ X ) != ( zero ) ) | 
% 1.18/0.79     ( ( X ) = ( Y ) ))).
% 1.18/0.79  thf(zip_derived_cl3, plain,
% 1.18/0.79      (![X0 : $i, X1 : $i]:
% 1.18/0.79         (((divide @ X0 @ X1) != (zero))
% 1.18/0.79          | ((divide @ X1 @ X0) != (zero))
% 1.18/0.79          | ((X0) = (X1)))),
% 1.18/0.79      inference('cnf', [status(esa)], [divide_and_equal])).
% 1.18/0.79  thf(zip_derived_cl461, plain,
% 1.18/0.79      (![X0 : $i]:
% 1.18/0.79         (((zero) != (zero))
% 1.18/0.79          | ((divide @ zero @ 
% 1.18/0.79              (divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero)) != (
% 1.18/0.79              zero))
% 1.18/0.79          | ((divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) = (zero)))),
% 1.18/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl3])).
% 1.18/0.79  thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.18/0.79      inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.18/0.79  thf(zip_derived_cl499, plain,
% 1.18/0.79      (![X0 : $i]:
% 1.18/0.79         (((zero) != (zero))
% 1.18/0.79          | ((zero) != (zero))
% 1.18/0.79          | ((divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) = (zero)))),
% 1.18/0.79      inference('demod', [status(thm)], [zip_derived_cl461, zip_derived_cl2])).
% 1.18/0.79  thf(zip_derived_cl500, plain,
% 1.18/0.79      (![X0 : $i]:
% 1.18/0.79         ((divide @ (divide @ X0 @ (divide @ X0 @ zero)) @ zero) = (zero))),
% 1.18/0.79      inference('simplify', [status(thm)], [zip_derived_cl499])).
% 1.18/0.79  thf(zip_derived_cl3, plain,
% 1.18/0.79      (![X0 : $i, X1 : $i]:
% 1.18/0.79         (((divide @ X0 @ X1) != (zero))
% 1.18/0.79          | ((divide @ X1 @ X0) != (zero))
% 1.18/0.79          | ((X0) = (X1)))),
% 1.18/0.79      inference('cnf', [status(esa)], [divide_and_equal])).
% 1.18/0.79  thf(zip_derived_cl523, plain,
% 1.18/0.79      (![X0 : $i]:
% 1.18/0.79         (((zero) != (zero))
% 1.18/0.79          | ((divide @ zero @ (divide @ X0 @ (divide @ X0 @ zero))) != (zero))
% 1.18/0.79          | ((divide @ X0 @ (divide @ X0 @ zero)) = (zero)))),
% 1.18/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl500, zip_derived_cl3])).
% 1.18/0.79  thf(zip_derived_cl2, plain, (![X0 : $i]: ((divide @ zero @ X0) = (zero))),
% 1.18/0.79      inference('cnf', [status(esa)], [zero_is_smallest])).
% 1.18/0.79  thf(zip_derived_cl560, plain,
% 1.18/0.79      (![X0 : $i]:
% 1.18/0.79         (((zero) != (zero))
% 1.18/0.79          | ((zero) != (zero))
% 1.18/0.79          | ((divide @ X0 @ (divide @ X0 @ zero)) = (zero)))),
% 1.18/0.79      inference('demod', [status(thm)], [zip_derived_cl523, zip_derived_cl2])).
% 1.18/0.79  thf(zip_derived_cl561, plain,
% 1.18/0.79      (![X0 : $i]: ((divide @ X0 @ (divide @ X0 @ zero)) = (zero))),
% 1.18/0.79      inference('simplify', [status(thm)], [zip_derived_cl560])).
% 1.18/0.79  thf(zip_derived_cl3, plain,
% 1.18/0.79      (![X0 : $i, X1 : $i]:
% 1.18/0.79         (((divide @ X0 @ X1) != (zero))
% 1.18/0.79          | ((divide @ X1 @ X0) != (zero))
% 1.18/0.79          | ((X0) = (X1)))),
% 1.18/0.79      inference('cnf', [status(esa)], [divide_and_equal])).
% 1.18/0.79  thf(zip_derived_cl798, plain,
% 1.18/0.79      (![X0 : $i]:
% 1.18/0.79         (((zero) != (zero))
% 1.18/0.79          | ((divide @ (divide @ X0 @ zero) @ X0) != (zero))
% 1.18/0.79          | ((X0) = (divide @ X0 @ zero)))),
% 1.18/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl561, zip_derived_cl3])).
% 1.18/0.79  thf(quotient_smaller_than_numerator, axiom,
% 1.18/0.79    (( divide @ ( divide @ X @ Y ) @ X ) = ( zero ))).
% 1.18/0.79  thf(zip_derived_cl0, plain,
% 1.18/0.79      (![X0 : $i, X1 : $i]: ((divide @ (divide @ X0 @ X1) @ X0) = (zero))),
% 1.18/0.79      inference('cnf', [status(esa)], [quotient_smaller_than_numerator])).
% 1.18/0.79  thf(zip_derived_cl840, plain,
% 1.18/0.79      (![X0 : $i]:
% 1.18/0.79         (((zero) != (zero))
% 1.18/0.79          | ((zero) != (zero))
% 1.18/0.79          | ((X0) = (divide @ X0 @ zero)))),
% 1.18/0.79      inference('demod', [status(thm)], [zip_derived_cl798, zip_derived_cl0])).
% 1.18/0.79  thf(zip_derived_cl841, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ zero))),
% 1.18/0.79      inference('simplify', [status(thm)], [zip_derived_cl840])).
% 1.18/0.79  thf(zip_derived_cl865, plain, (((a) != (a))),
% 1.18/0.79      inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl841])).
% 1.18/0.79  thf(zip_derived_cl866, plain, ($false),
% 1.18/0.79      inference('simplify', [status(thm)], [zip_derived_cl865])).
% 1.18/0.79  
% 1.18/0.79  % SZS output end Refutation
% 1.18/0.79  
% 1.18/0.79  
% 1.18/0.79  % Terminating...
% 1.46/0.85  % Runner terminated.
% 1.46/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------