TSTP Solution File: RNG017-6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG017-6 : 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.ZWTs6lqAeY true

% Computer : n015.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 14:06:19 EDT 2023

% Result   : Unsatisfiable 1.39s 1.11s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG017-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZWTs6lqAeY true
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 03:21:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.39/1.11  % Solved by fo/fo1_av.sh.
% 1.39/1.11  % done 226 iterations in 0.326s
% 1.39/1.11  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.39/1.11  % SZS output start Refutation
% 1.39/1.11  thf(multiply_type, type, multiply: $i > $i > $i).
% 1.39/1.11  thf(z_type, type, z: $i).
% 1.39/1.11  thf(y_type, type, y: $i).
% 1.39/1.11  thf(x_type, type, x: $i).
% 1.39/1.11  thf(additive_identity_type, type, additive_identity: $i).
% 1.39/1.11  thf(add_type, type, add: $i > $i > $i).
% 1.39/1.11  thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 1.39/1.11  thf(prove_distributivity, conjecture,
% 1.39/1.11    (( multiply @ ( additive_inverse @ x ) @ ( add @ y @ z ) ) =
% 1.39/1.11     ( add @
% 1.39/1.11       ( additive_inverse @ ( multiply @ x @ y ) ) @ 
% 1.39/1.11       ( additive_inverse @ ( multiply @ x @ z ) ) ))).
% 1.39/1.11  thf(zf_stmt_0, negated_conjecture,
% 1.39/1.11    (( multiply @ ( additive_inverse @ x ) @ ( add @ y @ z ) ) !=
% 1.39/1.11     ( add @
% 1.39/1.11       ( additive_inverse @ ( multiply @ x @ y ) ) @ 
% 1.39/1.11       ( additive_inverse @ ( multiply @ x @ z ) ) )),
% 1.39/1.11    inference('cnf.neg', [status(esa)], [prove_distributivity])).
% 1.39/1.11  thf(zip_derived_cl15, plain,
% 1.39/1.11      (((multiply @ (additive_inverse @ x) @ (add @ y @ z))
% 1.39/1.11         != (add @ (additive_inverse @ (multiply @ x @ y)) @ 
% 1.39/1.11             (additive_inverse @ (multiply @ x @ z))))),
% 1.39/1.11      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.39/1.11  thf(left_additive_inverse, axiom,
% 1.39/1.11    (( add @ ( additive_inverse @ X ) @ X ) = ( additive_identity ))).
% 1.39/1.11  thf(zip_derived_cl4, plain,
% 1.39/1.11      (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 1.39/1.11      inference('cnf', [status(esa)], [left_additive_inverse])).
% 1.39/1.11  thf(associativity_for_addition, axiom,
% 1.39/1.11    (( add @ X @ ( add @ Y @ Z ) ) = ( add @ ( add @ X @ Y ) @ Z ))).
% 1.39/1.11  thf(zip_derived_cl10, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.11         ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 1.39/1.11      inference('cnf', [status(esa)], [associativity_for_addition])).
% 1.39/1.11  thf(zip_derived_cl53, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0))
% 1.39/1.11           = (add @ additive_identity @ X0))),
% 1.39/1.11      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 1.39/1.11  thf(left_additive_identity, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 1.39/1.11  thf(zip_derived_cl0, plain,
% 1.39/1.11      (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 1.39/1.11      inference('cnf', [status(esa)], [left_additive_identity])).
% 1.39/1.11  thf(zip_derived_cl57, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 1.39/1.11      inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.39/1.11  thf(commutativity_for_addition, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 1.39/1.11  thf(zip_derived_cl9, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 1.39/1.11      inference('cnf', [status(esa)], [commutativity_for_addition])).
% 1.39/1.11  thf(zip_derived_cl90, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (add @ X1 @ X0) @ (additive_inverse @ X1)) = (X0))),
% 1.39/1.11      inference('s_sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl9])).
% 1.39/1.11  thf(zip_derived_cl57, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 1.39/1.11      inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.39/1.11  thf(zip_derived_cl166, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ (add @ X1 @ X0)) @ X0)
% 1.39/1.11           = (additive_inverse @ X1))),
% 1.39/1.11      inference('s_sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl57])).
% 1.39/1.11  thf(zip_derived_cl9, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 1.39/1.11      inference('cnf', [status(esa)], [commutativity_for_addition])).
% 1.39/1.11  thf(zip_derived_cl57, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 1.39/1.11      inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.39/1.11  thf(zip_derived_cl95, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ X0) @ (add @ X1 @ X0)) = (X1))),
% 1.39/1.11      inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl57])).
% 1.39/1.11  thf(zip_derived_cl647, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ X1) @ (additive_inverse @ X0))
% 1.39/1.11           = (additive_inverse @ (add @ X0 @ X1)))),
% 1.39/1.11      inference('s_sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl95])).
% 1.39/1.11  thf(distribute1, axiom,
% 1.39/1.11    (( multiply @ X @ ( add @ Y @ Z ) ) =
% 1.39/1.11     ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 1.39/1.11  thf(zip_derived_cl7, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.11         ((multiply @ X0 @ (add @ X1 @ X2))
% 1.39/1.11           = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 1.39/1.11      inference('cnf', [status(esa)], [distribute1])).
% 1.39/1.11  thf(zip_derived_cl9, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 1.39/1.11      inference('cnf', [status(esa)], [commutativity_for_addition])).
% 1.39/1.11  thf(zip_derived_cl767, plain,
% 1.39/1.11      (((multiply @ (additive_inverse @ x) @ (add @ y @ z))
% 1.39/1.11         != (additive_inverse @ (multiply @ x @ (add @ y @ z))))),
% 1.39/1.11      inference('demod', [status(thm)],
% 1.39/1.11                [zip_derived_cl15, zip_derived_cl647, zip_derived_cl7, 
% 1.39/1.11                 zip_derived_cl9])).
% 1.39/1.11  thf(right_additive_inverse, axiom,
% 1.39/1.11    (( add @ X @ ( additive_inverse @ X ) ) = ( additive_identity ))).
% 1.39/1.11  thf(zip_derived_cl5, plain,
% 1.39/1.11      (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 1.39/1.11      inference('cnf', [status(esa)], [right_additive_inverse])).
% 1.39/1.11  thf(zip_derived_cl7, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.11         ((multiply @ X0 @ (add @ X1 @ X2))
% 1.39/1.11           = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 1.39/1.11      inference('cnf', [status(esa)], [distribute1])).
% 1.39/1.11  thf(zip_derived_cl57, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 1.39/1.11      inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.39/1.11  thf(zip_derived_cl102, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ (multiply @ X2 @ X1)) @ 
% 1.39/1.11           (multiply @ X2 @ (add @ X1 @ X0))) = (multiply @ X2 @ X0))),
% 1.39/1.11      inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl57])).
% 1.39/1.11  thf(zip_derived_cl1933, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ (multiply @ X1 @ X0)) @ 
% 1.39/1.11           (multiply @ X1 @ additive_identity))
% 1.39/1.11           = (multiply @ X1 @ (additive_inverse @ X0)))),
% 1.39/1.11      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl102])).
% 1.39/1.11  thf(right_multiplicative_zero, axiom,
% 1.39/1.11    (( multiply @ X @ additive_identity ) = ( additive_identity ))).
% 1.39/1.11  thf(zip_derived_cl3, plain,
% 1.39/1.11      (![X0 : $i]: ((multiply @ X0 @ additive_identity) = (additive_identity))),
% 1.39/1.11      inference('cnf', [status(esa)], [right_multiplicative_zero])).
% 1.39/1.11  thf(right_additive_identity, axiom,
% 1.39/1.11    (( add @ X @ additive_identity ) = ( X ))).
% 1.39/1.11  thf(zip_derived_cl1, plain,
% 1.39/1.11      (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.39/1.11      inference('cnf', [status(esa)], [right_additive_identity])).
% 1.39/1.11  thf(zip_derived_cl1970, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((additive_inverse @ (multiply @ X1 @ X0))
% 1.39/1.11           = (multiply @ X1 @ (additive_inverse @ X0)))),
% 1.39/1.11      inference('demod', [status(thm)],
% 1.39/1.11                [zip_derived_cl1933, zip_derived_cl3, zip_derived_cl1])).
% 1.39/1.11  thf(zip_derived_cl1987, plain,
% 1.39/1.11      (((multiply @ (additive_inverse @ x) @ (add @ y @ z))
% 1.39/1.11         != (multiply @ x @ (additive_inverse @ (add @ y @ z))))),
% 1.39/1.11      inference('demod', [status(thm)], [zip_derived_cl767, zip_derived_cl1970])).
% 1.39/1.11  thf(zip_derived_cl5, plain,
% 1.39/1.11      (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 1.39/1.11      inference('cnf', [status(esa)], [right_additive_inverse])).
% 1.39/1.11  thf(distribute2, axiom,
% 1.39/1.11    (( multiply @ ( add @ X @ Y ) @ Z ) =
% 1.39/1.11     ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ))).
% 1.39/1.11  thf(zip_derived_cl8, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.11         ((multiply @ (add @ X0 @ X2) @ X1)
% 1.39/1.11           = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.39/1.11      inference('cnf', [status(esa)], [distribute2])).
% 1.39/1.11  thf(zip_derived_cl57, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 1.39/1.11      inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 1.39/1.11  thf(zip_derived_cl103, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.11         ((add @ (additive_inverse @ (multiply @ X2 @ X0)) @ 
% 1.39/1.11           (multiply @ (add @ X2 @ X1) @ X0)) = (multiply @ X1 @ X0))),
% 1.39/1.11      inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl57])).
% 1.39/1.11  thf(zip_derived_cl1970, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((additive_inverse @ (multiply @ X1 @ X0))
% 1.39/1.11           = (multiply @ X1 @ (additive_inverse @ X0)))),
% 1.39/1.11      inference('demod', [status(thm)],
% 1.39/1.11                [zip_derived_cl1933, zip_derived_cl3, zip_derived_cl1])).
% 1.39/1.11  thf(zip_derived_cl2056, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.11         ((add @ (multiply @ X2 @ (additive_inverse @ X0)) @ 
% 1.39/1.11           (multiply @ (add @ X2 @ X1) @ X0)) = (multiply @ X1 @ X0))),
% 1.39/1.11      inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl1970])).
% 1.39/1.11  thf(zip_derived_cl2086, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((add @ (multiply @ X1 @ (additive_inverse @ X0)) @ 
% 1.39/1.11           (multiply @ additive_identity @ X0))
% 1.39/1.11           = (multiply @ (additive_inverse @ X1) @ X0))),
% 1.39/1.11      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2056])).
% 1.39/1.11  thf(left_multiplicative_zero, axiom,
% 1.39/1.11    (( multiply @ additive_identity @ X ) = ( additive_identity ))).
% 1.39/1.11  thf(zip_derived_cl2, plain,
% 1.39/1.11      (![X0 : $i]: ((multiply @ additive_identity @ X0) = (additive_identity))),
% 1.39/1.11      inference('cnf', [status(esa)], [left_multiplicative_zero])).
% 1.39/1.11  thf(zip_derived_cl1, plain,
% 1.39/1.11      (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.39/1.11      inference('cnf', [status(esa)], [right_additive_identity])).
% 1.39/1.11  thf(zip_derived_cl2127, plain,
% 1.39/1.11      (![X0 : $i, X1 : $i]:
% 1.39/1.11         ((multiply @ X1 @ (additive_inverse @ X0))
% 1.39/1.11           = (multiply @ (additive_inverse @ X1) @ X0))),
% 1.39/1.11      inference('demod', [status(thm)],
% 1.39/1.11                [zip_derived_cl2086, zip_derived_cl2, zip_derived_cl1])).
% 1.39/1.11  thf(zip_derived_cl2144, plain,
% 1.39/1.11      (((multiply @ x @ (additive_inverse @ (add @ y @ z)))
% 1.39/1.11         != (multiply @ x @ (additive_inverse @ (add @ y @ z))))),
% 1.39/1.11      inference('demod', [status(thm)],
% 1.39/1.11                [zip_derived_cl1987, zip_derived_cl2127])).
% 1.39/1.11  thf(zip_derived_cl2145, plain, ($false),
% 1.39/1.11      inference('simplify', [status(thm)], [zip_derived_cl2144])).
% 1.39/1.11  
% 1.39/1.11  % SZS output end Refutation
% 1.39/1.11  
% 1.39/1.11  
% 1.39/1.11  % Terminating...
% 1.39/1.17  % Runner terminated.
% 1.89/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------