TSTP Solution File: RNG012-6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG012-6 : 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.tvrSwF2KLg true

% Computer : n019.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 14:06:18 EDT 2023

% Result   : Unsatisfiable 4.33s 1.21s
% Output   : Refutation 4.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG012-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tvrSwF2KLg true
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 01:33:43 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.68  % Total configuration time : 435
% 0.21/0.68  % Estimated wc time : 1092
% 0.21/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /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
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.33/1.21  % Solved by fo/fo7.sh.
% 4.33/1.21  % done 316 iterations in 0.436s
% 4.33/1.21  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.33/1.21  % SZS output start Refutation
% 4.33/1.21  thf(multiply_type, type, multiply: $i > $i > $i).
% 4.33/1.21  thf(b_type, type, b: $i).
% 4.33/1.21  thf(a_type, type, a: $i).
% 4.33/1.21  thf(additive_identity_type, type, additive_identity: $i).
% 4.33/1.21  thf(add_type, type, add: $i > $i > $i).
% 4.33/1.21  thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 4.33/1.21  thf(prove_equation, conjecture,
% 4.33/1.21    (( multiply @ ( additive_inverse @ a ) @ ( additive_inverse @ b ) ) =
% 4.33/1.21     ( multiply @ a @ b ))).
% 4.33/1.21  thf(zf_stmt_0, negated_conjecture,
% 4.33/1.21    (( multiply @ ( additive_inverse @ a ) @ ( additive_inverse @ b ) ) !=
% 4.33/1.21     ( multiply @ a @ b )),
% 4.33/1.21    inference('cnf.neg', [status(esa)], [prove_equation])).
% 4.33/1.21  thf(zip_derived_cl15, plain,
% 4.33/1.21      (((multiply @ (additive_inverse @ a) @ (additive_inverse @ b))
% 4.33/1.21         != (multiply @ a @ b))),
% 4.33/1.21      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.33/1.21  thf(right_additive_inverse, axiom,
% 4.33/1.21    (( add @ X @ ( additive_inverse @ X ) ) = ( additive_identity ))).
% 4.33/1.21  thf(zip_derived_cl5, plain,
% 4.33/1.21      (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 4.33/1.21      inference('cnf', [status(esa)], [right_additive_inverse])).
% 4.33/1.21  thf(distribute2, axiom,
% 4.33/1.21    (( multiply @ ( add @ X @ Y ) @ Z ) =
% 4.33/1.21     ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ))).
% 4.33/1.21  thf(zip_derived_cl8, plain,
% 4.33/1.21      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.33/1.21         ((multiply @ (add @ X0 @ X2) @ X1)
% 4.33/1.21           = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 4.33/1.21      inference('cnf', [status(esa)], [distribute2])).
% 4.33/1.21  thf(zip_derived_cl1023, plain,
% 4.33/1.21      (![X0 : $i, X1 : $i]:
% 4.33/1.21         ((multiply @ additive_identity @ X0)
% 4.33/1.21           = (add @ (multiply @ X1 @ X0) @ 
% 4.33/1.21              (multiply @ (additive_inverse @ X1) @ X0)))),
% 4.33/1.21      inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl8])).
% 4.33/1.21  thf(left_multiplicative_zero, axiom,
% 4.33/1.21    (( multiply @ additive_identity @ X ) = ( additive_identity ))).
% 4.33/1.21  thf(zip_derived_cl2, plain,
% 4.33/1.21      (![X0 : $i]: ((multiply @ additive_identity @ X0) = (additive_identity))),
% 4.33/1.21      inference('cnf', [status(esa)], [left_multiplicative_zero])).
% 4.33/1.21  thf(zip_derived_cl1044, plain,
% 4.33/1.21      (![X0 : $i, X1 : $i]:
% 4.33/1.21         ((additive_identity)
% 4.33/1.21           = (add @ (multiply @ X1 @ X0) @ 
% 4.33/1.21              (multiply @ (additive_inverse @ X1) @ X0)))),
% 4.33/1.21      inference('demod', [status(thm)], [zip_derived_cl1023, zip_derived_cl2])).
% 4.33/1.21  thf(left_additive_inverse, axiom,
% 4.33/1.21    (( add @ ( additive_inverse @ X ) @ X ) = ( additive_identity ))).
% 4.33/1.21  thf(zip_derived_cl4, plain,
% 4.33/1.21      (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 4.33/1.21      inference('cnf', [status(esa)], [left_additive_inverse])).
% 4.33/1.21  thf(associativity_for_addition, axiom,
% 4.33/1.21    (( add @ X @ ( add @ Y @ Z ) ) = ( add @ ( add @ X @ Y ) @ Z ))).
% 4.33/1.21  thf(zip_derived_cl10, plain,
% 4.33/1.21      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.33/1.21         ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 4.33/1.21      inference('cnf', [status(esa)], [associativity_for_addition])).
% 4.33/1.21  thf(zip_derived_cl62, plain,
% 4.33/1.21      (![X0 : $i, X1 : $i]:
% 4.33/1.21         ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0))
% 4.33/1.21           = (add @ additive_identity @ X0))),
% 4.33/1.22      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 4.33/1.22  thf(left_additive_identity, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 4.33/1.22  thf(zip_derived_cl0, plain,
% 4.33/1.22      (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 4.33/1.22      inference('cnf', [status(esa)], [left_additive_identity])).
% 4.33/1.22  thf(zip_derived_cl66, plain,
% 4.33/1.22      (![X0 : $i, X1 : $i]:
% 4.33/1.22         ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 4.33/1.22      inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 4.33/1.22  thf(zip_derived_cl1367, plain,
% 4.33/1.22      (![X0 : $i, X1 : $i]:
% 4.33/1.22         ((add @ (additive_inverse @ (multiply @ X1 @ X0)) @ additive_identity)
% 4.33/1.22           = (multiply @ (additive_inverse @ X1) @ X0))),
% 4.33/1.22      inference('sup+', [status(thm)], [zip_derived_cl1044, zip_derived_cl66])).
% 4.33/1.22  thf(zip_derived_cl5, plain,
% 4.33/1.22      (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 4.33/1.22      inference('cnf', [status(esa)], [right_additive_inverse])).
% 4.33/1.22  thf(distribute1, axiom,
% 4.33/1.22    (( multiply @ X @ ( add @ Y @ Z ) ) =
% 4.33/1.22     ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 4.33/1.22  thf(zip_derived_cl7, plain,
% 4.33/1.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.33/1.22         ((multiply @ X0 @ (add @ X1 @ X2))
% 4.33/1.22           = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 4.33/1.22      inference('cnf', [status(esa)], [distribute1])).
% 4.33/1.22  thf(zip_derived_cl971, plain,
% 4.33/1.22      (![X0 : $i, X1 : $i]:
% 4.33/1.22         ((multiply @ X1 @ additive_identity)
% 4.33/1.22           = (add @ (multiply @ X1 @ X0) @ 
% 4.33/1.22              (multiply @ X1 @ (additive_inverse @ X0))))),
% 4.33/1.22      inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl7])).
% 4.33/1.22  thf(right_multiplicative_zero, axiom,
% 4.33/1.22    (( multiply @ X @ additive_identity ) = ( additive_identity ))).
% 4.33/1.22  thf(zip_derived_cl3, plain,
% 4.33/1.22      (![X0 : $i]: ((multiply @ X0 @ additive_identity) = (additive_identity))),
% 4.33/1.22      inference('cnf', [status(esa)], [right_multiplicative_zero])).
% 4.33/1.22  thf(zip_derived_cl994, plain,
% 4.33/1.22      (![X0 : $i, X1 : $i]:
% 4.33/1.22         ((additive_identity)
% 4.33/1.22           = (add @ (multiply @ X1 @ X0) @ 
% 4.33/1.22              (multiply @ X1 @ (additive_inverse @ X0))))),
% 4.33/1.22      inference('demod', [status(thm)], [zip_derived_cl971, zip_derived_cl3])).
% 4.33/1.22  thf(zip_derived_cl66, plain,
% 4.33/1.22      (![X0 : $i, X1 : $i]:
% 4.33/1.22         ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 4.33/1.22      inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 4.33/1.22  thf(zip_derived_cl1249, plain,
% 4.33/1.22      (![X0 : $i, X1 : $i]:
% 4.33/1.22         ((add @ (additive_inverse @ (multiply @ X1 @ X0)) @ additive_identity)
% 4.33/1.22           = (multiply @ X1 @ (additive_inverse @ X0)))),
% 4.33/1.22      inference('sup+', [status(thm)], [zip_derived_cl994, zip_derived_cl66])).
% 4.33/1.22  thf(right_additive_identity, axiom,
% 4.33/1.22    (( add @ X @ additive_identity ) = ( X ))).
% 4.33/1.22  thf(zip_derived_cl1, plain,
% 4.33/1.22      (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 4.33/1.22      inference('cnf', [status(esa)], [right_additive_identity])).
% 4.33/1.22  thf(zip_derived_cl1648, plain,
% 4.33/1.22      (![X0 : $i, X1 : $i]:
% 4.33/1.22         ((multiply @ X1 @ (additive_inverse @ X0))
% 4.33/1.22           = (additive_inverse @ (multiply @ X1 @ X0)))),
% 4.33/1.22      inference('sup+', [status(thm)], [zip_derived_cl1249, zip_derived_cl1])).
% 4.33/1.22  thf(zip_derived_cl1, plain,
% 4.33/1.22      (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 4.33/1.22      inference('cnf', [status(esa)], [right_additive_identity])).
% 4.33/1.22  thf(zip_derived_cl2476, plain,
% 4.33/1.22      (![X0 : $i, X1 : $i]:
% 4.33/1.22         ((multiply @ X1 @ (additive_inverse @ X0))
% 4.33/1.22           = (multiply @ (additive_inverse @ X1) @ X0))),
% 4.33/1.22      inference('demod', [status(thm)],
% 4.33/1.22                [zip_derived_cl1367, zip_derived_cl1648, zip_derived_cl1])).
% 4.33/1.22  thf(additive_inverse_additive_inverse, axiom,
% 4.33/1.22    (( additive_inverse @ ( additive_inverse @ X ) ) = ( X ))).
% 4.33/1.22  thf(zip_derived_cl6, plain,
% 4.33/1.22      (![X0 : $i]: ((additive_inverse @ (additive_inverse @ X0)) = (X0))),
% 4.33/1.22      inference('cnf', [status(esa)], [additive_inverse_additive_inverse])).
% 4.33/1.22  thf(zip_derived_cl2477, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 4.33/1.22      inference('demod', [status(thm)],
% 4.33/1.22                [zip_derived_cl15, zip_derived_cl2476, zip_derived_cl6])).
% 4.33/1.22  thf(zip_derived_cl2478, plain, ($false),
% 4.33/1.22      inference('simplify', [status(thm)], [zip_derived_cl2477])).
% 4.33/1.22  
% 4.33/1.22  % SZS output end Refutation
% 4.33/1.22  
% 4.33/1.22  
% 4.33/1.22  % Terminating...
% 4.53/1.31  % Runner terminated.
% 4.53/1.32  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------