TSTP Solution File: ANA133-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ANA133-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bqacTB5IwH true

% Computer : n013.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 : Wed Aug 30 17:26:19 EDT 2023

% Result   : Unsatisfiable 102.08s 15.16s
% Output   : Refutation 102.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ANA133-1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bqacTB5IwH true
% 0.14/0.35  % Computer : n013.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 : Fri Aug 25 18:05:02 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
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 102.08/15.16  % Solved by fo/fo1_av.sh.
% 102.08/15.16  % done 2920 iterations in 14.366s
% 102.08/15.16  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 102.08/15.16  % SZS output start Refutation
% 102.08/15.16  thf(zero_type, type, zero: $i).
% 102.08/15.16  thf(minus_type, type, minus: $i > $i).
% 102.08/15.16  thf(sin_type, type, sin: $i > $i).
% 102.08/15.16  thf(d_type, type, d: $i > $i).
% 102.08/15.16  thf(x_type, type, x: $i).
% 102.08/15.16  thf('+_type', type, '+': $i > $i > $i).
% 102.08/15.16  thf(cos_type, type, cos: $i > $i).
% 102.08/15.16  thf(times_type, type, times: $i > $i > $i).
% 102.08/15.16  thf(one_type, type, one: $i).
% 102.08/15.16  thf(derivative_of_x, axiom, (( d @ x ) = ( one ))).
% 102.08/15.16  thf(zip_derived_cl11, plain, (((d @ x) = (one))),
% 102.08/15.16      inference('cnf', [status(esa)], [derivative_of_x])).
% 102.08/15.16  thf(derivative_of_times, axiom,
% 102.08/15.16    (( d @ ( times @ T @ U ) ) =
% 102.08/15.16     ( '+' @ ( times @ T @ ( d @ U ) ) @ ( times @ U @ ( d @ T ) ) ))).
% 102.08/15.16  thf(zip_derived_cl13, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]:
% 102.08/15.16         ((d @ (times @ X0 @ X1))
% 102.08/15.16           = ('+' @ (times @ X0 @ (d @ X1)) @ (times @ X1 @ (d @ X0))))),
% 102.08/15.16      inference('cnf', [status(esa)], [derivative_of_times])).
% 102.08/15.16  thf(zip_derived_cl214, plain,
% 102.08/15.16      (![X0 : $i]:
% 102.08/15.16         ((d @ (times @ X0 @ x))
% 102.08/15.16           = ('+' @ (times @ X0 @ one) @ (times @ x @ (d @ X0))))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl13])).
% 102.08/15.16  thf(times_one, axiom, (( times @ one @ X ) = ( X ))).
% 102.08/15.16  thf(zip_derived_cl6, plain, (![X0 : $i]: ((times @ one @ X0) = (X0))),
% 102.08/15.16      inference('cnf', [status(esa)], [times_one])).
% 102.08/15.16  thf(commutativity_of_times, axiom, (( times @ X @ Y ) = ( times @ Y @ X ))).
% 102.08/15.16  thf(zip_derived_cl2, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]: ((times @ X1 @ X0) = (times @ X0 @ X1))),
% 102.08/15.16      inference('cnf', [status(esa)], [commutativity_of_times])).
% 102.08/15.16  thf(zip_derived_cl22, plain, (![X0 : $i]: ((X0) = (times @ X0 @ one))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 102.08/15.16  thf(zip_derived_cl235, plain,
% 102.08/15.16      (![X0 : $i]:
% 102.08/15.16         ((d @ (times @ X0 @ x)) = ('+' @ X0 @ (times @ x @ (d @ X0))))),
% 102.08/15.16      inference('demod', [status(thm)], [zip_derived_cl214, zip_derived_cl22])).
% 102.08/15.16  thf(zip_derived_cl11, plain, (((d @ x) = (one))),
% 102.08/15.16      inference('cnf', [status(esa)], [derivative_of_x])).
% 102.08/15.16  thf(derivative_of_cos, axiom,
% 102.08/15.16    (( d @ ( cos @ T ) ) = ( minus @ ( times @ ( sin @ T ) @ ( d @ T ) ) ))).
% 102.08/15.16  thf(zip_derived_cl15, plain,
% 102.08/15.16      (![X0 : $i]:
% 102.08/15.16         ((d @ (cos @ X0)) = (minus @ (times @ (sin @ X0) @ (d @ X0))))),
% 102.08/15.16      inference('cnf', [status(esa)], [derivative_of_cos])).
% 102.08/15.16  thf(zip_derived_cl2, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]: ((times @ X1 @ X0) = (times @ X0 @ X1))),
% 102.08/15.16      inference('cnf', [status(esa)], [commutativity_of_times])).
% 102.08/15.16  thf(zip_derived_cl269, plain,
% 102.08/15.16      (![X0 : $i]:
% 102.08/15.16         ((d @ (cos @ X0)) = (minus @ (times @ (d @ X0) @ (sin @ X0))))),
% 102.08/15.16      inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 102.08/15.16  thf(zip_derived_cl276, plain,
% 102.08/15.16      (((d @ (cos @ x)) = (minus @ (times @ one @ (sin @ x))))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl269])).
% 102.08/15.16  thf(zip_derived_cl6, plain, (![X0 : $i]: ((times @ one @ X0) = (X0))),
% 102.08/15.16      inference('cnf', [status(esa)], [times_one])).
% 102.08/15.16  thf(zip_derived_cl285, plain, (((d @ (cos @ x)) = (minus @ (sin @ x)))),
% 102.08/15.16      inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl6])).
% 102.08/15.16  thf(minus, axiom, (( '+' @ X @ ( minus @ X ) ) = ( zero ))).
% 102.08/15.16  thf(zip_derived_cl8, plain,
% 102.08/15.16      (![X0 : $i]: (('+' @ X0 @ (minus @ X0)) = (zero))),
% 102.08/15.16      inference('cnf', [status(esa)], [minus])).
% 102.08/15.16  thf(zip_derived_cl8, plain,
% 102.08/15.16      (![X0 : $i]: (('+' @ X0 @ (minus @ X0)) = (zero))),
% 102.08/15.16      inference('cnf', [status(esa)], [minus])).
% 102.08/15.16  thf(associtivity_of_plus, axiom,
% 102.08/15.16    (( '+' @ X @ ( '+' @ Y @ Z ) ) = ( '+' @ ( '+' @ X @ Y ) @ Z ))).
% 102.08/15.16  thf(zip_derived_cl1, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i, X2 : $i]:
% 102.08/15.16         (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X0 @ X1) @ X2))),
% 102.08/15.16      inference('cnf', [status(esa)], [associtivity_of_plus])).
% 102.08/15.16  thf(zip_derived_cl42, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]:
% 102.08/15.16         (('+' @ X1 @ ('+' @ (minus @ X1) @ X0)) = ('+' @ zero @ X0))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 102.08/15.16  thf(plus_zero, axiom, (( '+' @ zero @ X ) = ( X ))).
% 102.08/15.16  thf(zip_derived_cl4, plain, (![X0 : $i]: (('+' @ zero @ X0) = (X0))),
% 102.08/15.16      inference('cnf', [status(esa)], [plus_zero])).
% 102.08/15.16  thf(zip_derived_cl45, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]: (('+' @ X1 @ ('+' @ (minus @ X1) @ X0)) = (X0))),
% 102.08/15.16      inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl4])).
% 102.08/15.16  thf(zip_derived_cl666, plain,
% 102.08/15.16      (![X0 : $i]: (('+' @ X0 @ zero) = (minus @ (minus @ X0)))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl45])).
% 102.08/15.16  thf(zip_derived_cl4, plain, (![X0 : $i]: (('+' @ zero @ X0) = (X0))),
% 102.08/15.16      inference('cnf', [status(esa)], [plus_zero])).
% 102.08/15.16  thf(commutativity_of_plus, axiom, (( '+' @ X @ Y ) = ( '+' @ Y @ X ))).
% 102.08/15.16  thf(zip_derived_cl0, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 102.08/15.16      inference('cnf', [status(esa)], [commutativity_of_plus])).
% 102.08/15.16  thf(zip_derived_cl17, plain, (![X0 : $i]: (('+' @ X0 @ zero) = (X0))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 102.08/15.16  thf(zip_derived_cl670, plain, (![X0 : $i]: ((X0) = (minus @ (minus @ X0)))),
% 102.08/15.16      inference('demod', [status(thm)], [zip_derived_cl666, zip_derived_cl17])).
% 102.08/15.16  thf(zip_derived_cl682, plain, (((sin @ x) = (minus @ (d @ (cos @ x))))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl285, zip_derived_cl670])).
% 102.08/15.16  thf(zip_derived_cl45, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]: (('+' @ X1 @ ('+' @ (minus @ X1) @ X0)) = (X0))),
% 102.08/15.16      inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl4])).
% 102.08/15.16  thf(zip_derived_cl685, plain,
% 102.08/15.16      (![X0 : $i]: (('+' @ (d @ (cos @ x)) @ ('+' @ (sin @ x) @ X0)) = (X0))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl682, zip_derived_cl45])).
% 102.08/15.16  thf(zip_derived_cl45497, plain,
% 102.08/15.16      ((('+' @ (d @ (cos @ x)) @ (d @ (times @ (sin @ x) @ x)))
% 102.08/15.16         = (times @ x @ (d @ (sin @ x))))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl235, zip_derived_cl685])).
% 102.08/15.16  thf(zip_derived_cl2, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]: ((times @ X1 @ X0) = (times @ X0 @ X1))),
% 102.08/15.16      inference('cnf', [status(esa)], [commutativity_of_times])).
% 102.08/15.16  thf(derivative_of_plus, axiom,
% 102.08/15.16    (( d @ ( '+' @ T @ U ) ) = ( '+' @ ( d @ T ) @ ( d @ U ) ))).
% 102.08/15.16  thf(zip_derived_cl12, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]:
% 102.08/15.16         ((d @ ('+' @ X0 @ X1)) = ('+' @ (d @ X0) @ (d @ X1)))),
% 102.08/15.16      inference('cnf', [status(esa)], [derivative_of_plus])).
% 102.08/15.16  thf(zip_derived_cl0, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 102.08/15.16      inference('cnf', [status(esa)], [commutativity_of_plus])).
% 102.08/15.16  thf(zip_derived_cl83, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]:
% 102.08/15.16         (('+' @ (d @ X0) @ (d @ X1)) = (d @ ('+' @ X1 @ X0)))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 102.08/15.16  thf(zip_derived_cl0, plain,
% 102.08/15.16      (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 102.08/15.16      inference('cnf', [status(esa)], [commutativity_of_plus])).
% 102.08/15.16  thf(zip_derived_cl11, plain, (((d @ x) = (one))),
% 102.08/15.16      inference('cnf', [status(esa)], [derivative_of_x])).
% 102.08/15.16  thf(derivative_of_sin, axiom,
% 102.08/15.16    (( d @ ( sin @ T ) ) = ( times @ ( cos @ T ) @ ( d @ T ) ))).
% 102.08/15.16  thf(zip_derived_cl14, plain,
% 102.08/15.16      (![X0 : $i]: ((d @ (sin @ X0)) = (times @ (cos @ X0) @ (d @ X0)))),
% 102.08/15.16      inference('cnf', [status(esa)], [derivative_of_sin])).
% 102.08/15.16  thf(zip_derived_cl51, plain, (((d @ (sin @ x)) = (times @ (cos @ x) @ one))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl14])).
% 102.08/15.16  thf(zip_derived_cl22, plain, (![X0 : $i]: ((X0) = (times @ X0 @ one))),
% 102.08/15.16      inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 102.08/15.16  thf(zip_derived_cl54, plain, (((d @ (sin @ x)) = (cos @ x))),
% 102.08/15.16      inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl22])).
% 102.08/15.16  thf(zip_derived_cl45513, plain,
% 102.08/15.16      (((d @ ('+' @ (cos @ x) @ (times @ x @ (sin @ x))))
% 102.08/15.16         = (times @ x @ (cos @ x)))),
% 102.08/15.16      inference('demod', [status(thm)],
% 102.08/15.16                [zip_derived_cl45497, zip_derived_cl2, zip_derived_cl83, 
% 102.08/15.16                 zip_derived_cl0, zip_derived_cl54])).
% 102.08/15.16  thf(goal, conjecture, (( d @ T ) = ( times @ x @ ( cos @ x ) ))).
% 102.08/15.16  thf(zf_stmt_0, negated_conjecture,
% 102.08/15.16    (( d @ T ) != ( times @ x @ ( cos @ x ) )),
% 102.08/15.16    inference('cnf.neg', [status(esa)], [goal])).
% 102.08/15.16  thf(zip_derived_cl16, plain,
% 102.08/15.16      (![X0 : $i]: ((d @ X0) != (times @ x @ (cos @ x)))),
% 102.08/15.16      inference('cnf', [status(esa)], [zf_stmt_0])).
% 102.08/15.16  thf(zip_derived_cl45514, plain, ($false),
% 102.08/15.16      inference('simplify_reflect-', [status(thm)],
% 102.08/15.16                [zip_derived_cl45513, zip_derived_cl16])).
% 102.08/15.16  
% 102.08/15.16  % SZS output end Refutation
% 102.08/15.16  
% 102.08/15.16  
% 102.08/15.16  % Terminating...
% 102.26/15.21  % Runner terminated.
% 102.26/15.23  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------