TSTP Solution File: RNG008-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG008-3 : 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.oiIATZMJVn true
% Computer : n022.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 14:06:16 EDT 2023
% Result : Unsatisfiable 0.56s 0.89s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oiIATZMJVn true
% 0.14/0.35 % Computer : n022.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 : Sun Aug 27 02:47:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.89 % Solved by fo/fo3_bce.sh.
% 0.56/0.89 % BCE start: 19
% 0.56/0.89 % BCE eliminated: 0
% 0.56/0.89 % PE start: 19
% 0.56/0.89 logic: eq
% 0.56/0.89 % PE eliminated: 0
% 0.56/0.89 % done 85 iterations in 0.112s
% 0.56/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.89 % SZS output start Refutation
% 0.56/0.89 thf(b_type, type, b: $i).
% 0.56/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.89 thf(a_type, type, a: $i).
% 0.56/0.89 thf(additive_identity_type, type, additive_identity: $i).
% 0.56/0.89 thf(add_type, type, add: $i > $i > $i).
% 0.56/0.89 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 0.56/0.89 thf(c_type, type, c: $i).
% 0.56/0.89 thf(a_times_b_is_c, conjecture, (( multiply @ a @ b ) != ( c ))).
% 0.56/0.89 thf(zf_stmt_0, negated_conjecture, (( multiply @ a @ b ) = ( c )),
% 0.56/0.89 inference('cnf.neg', [status(esa)], [a_times_b_is_c])).
% 0.56/0.89 thf(zip_derived_cl17, plain, (((multiply @ a @ b) = (c))),
% 0.56/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.89 thf(boolean_ring, axiom, (( multiply @ X @ X ) = ( X ))).
% 0.56/0.89 thf(zip_derived_cl16, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.56/0.89 inference('cnf', [status(esa)], [boolean_ring])).
% 0.56/0.89 thf(distribute1, axiom,
% 0.56/0.89 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 0.56/0.89 ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 0.56/0.89 thf(zip_derived_cl2, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.89 ((multiply @ X0 @ (add @ X1 @ X2))
% 0.56/0.89 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 0.56/0.89 inference('cnf', [status(esa)], [distribute1])).
% 0.56/0.89 thf(zip_derived_cl34, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]:
% 0.56/0.89 ((add @ X1 @ X0)
% 0.56/0.89 = (add @ (multiply @ (add @ X1 @ X0) @ X1) @
% 0.56/0.89 (multiply @ (add @ X1 @ X0) @ X0)))),
% 0.56/0.89 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl2])).
% 0.56/0.89 thf(distribute2, axiom,
% 0.56/0.89 (( multiply @ ( add @ X @ Y ) @ Z ) =
% 0.56/0.89 ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ))).
% 0.56/0.89 thf(zip_derived_cl3, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.89 ((multiply @ (add @ X0 @ X2) @ X1)
% 0.56/0.89 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 0.56/0.89 inference('cnf', [status(esa)], [distribute2])).
% 0.56/0.89 thf(zip_derived_cl16, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.56/0.89 inference('cnf', [status(esa)], [boolean_ring])).
% 0.56/0.89 thf(zip_derived_cl3, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.89 ((multiply @ (add @ X0 @ X2) @ X1)
% 0.56/0.89 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 0.56/0.89 inference('cnf', [status(esa)], [distribute2])).
% 0.56/0.89 thf(zip_derived_cl16, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.56/0.89 inference('cnf', [status(esa)], [boolean_ring])).
% 0.56/0.89 thf(commutative_addition, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 0.56/0.89 thf(zip_derived_cl12, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.56/0.89 inference('cnf', [status(esa)], [commutative_addition])).
% 0.56/0.89 thf(associative_addition, axiom,
% 0.56/0.89 (( add @ ( add @ X @ Y ) @ Z ) = ( add @ X @ ( add @ Y @ Z ) ))).
% 0.56/0.89 thf(zip_derived_cl11, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.89 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 0.56/0.89 inference('cnf', [status(esa)], [associative_addition])).
% 0.56/0.89 thf(zip_derived_cl363, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]:
% 0.56/0.89 ((add @ X1 @ X0)
% 0.56/0.89 = (add @ X1 @
% 0.56/0.89 (add @ (multiply @ X0 @ X1) @ (add @ X0 @ (multiply @ X1 @ X0)))))),
% 0.56/0.89 inference('demod', [status(thm)],
% 0.56/0.89 [zip_derived_cl34, zip_derived_cl3, zip_derived_cl16,
% 0.56/0.89 zip_derived_cl3, zip_derived_cl16, zip_derived_cl12,
% 0.56/0.89 zip_derived_cl11])).
% 0.56/0.89 thf(zip_derived_cl387, plain,
% 0.56/0.89 (((add @ a @ b) = (add @ a @ (add @ (multiply @ b @ a) @ (add @ b @ c))))),
% 0.56/0.89 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl363])).
% 0.56/0.89 thf(zip_derived_cl12, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.56/0.89 inference('cnf', [status(esa)], [commutative_addition])).
% 0.56/0.89 thf(zip_derived_cl11, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.89 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 0.56/0.89 inference('cnf', [status(esa)], [associative_addition])).
% 0.56/0.89 thf(zip_derived_cl420, plain,
% 0.56/0.89 (((add @ a @ b) = (add @ a @ (add @ b @ (add @ c @ (multiply @ b @ a)))))),
% 0.56/0.89 inference('demod', [status(thm)],
% 0.56/0.89 [zip_derived_cl387, zip_derived_cl12, zip_derived_cl11])).
% 0.56/0.89 thf(left_additive_inverse, axiom,
% 0.56/0.89 (( add @ ( additive_inverse @ X ) @ X ) = ( additive_identity ))).
% 0.56/0.89 thf(zip_derived_cl1, plain,
% 0.56/0.89 (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 0.56/0.89 inference('cnf', [status(esa)], [left_additive_inverse])).
% 0.56/0.89 thf(zip_derived_cl16, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.56/0.89 inference('cnf', [status(esa)], [boolean_ring])).
% 0.56/0.89 thf(multiply_additive_inverse2, axiom,
% 0.56/0.89 (( multiply @ ( additive_inverse @ X ) @ Y ) =
% 0.56/0.89 ( additive_inverse @ ( multiply @ X @ Y ) ))).
% 0.56/0.89 thf(zip_derived_cl10, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]:
% 0.56/0.89 ((multiply @ (additive_inverse @ X0) @ X1)
% 0.56/0.89 = (additive_inverse @ (multiply @ X0 @ X1)))),
% 0.56/0.89 inference('cnf', [status(esa)], [multiply_additive_inverse2])).
% 0.56/0.89 thf(zip_derived_cl57, plain,
% 0.56/0.89 (![X0 : $i]:
% 0.56/0.89 ((additive_inverse @ X0)
% 0.56/0.89 = (additive_inverse @ (multiply @ X0 @ (additive_inverse @ X0))))),
% 0.56/0.89 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl10])).
% 0.56/0.89 thf(multiply_additive_inverse1, axiom,
% 0.56/0.89 (( multiply @ X @ ( additive_inverse @ Y ) ) =
% 0.56/0.89 ( additive_inverse @ ( multiply @ X @ Y ) ))).
% 0.56/0.89 thf(zip_derived_cl9, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]:
% 0.56/0.89 ((multiply @ X0 @ (additive_inverse @ X1))
% 0.56/0.89 = (additive_inverse @ (multiply @ X0 @ X1)))),
% 0.56/0.89 inference('cnf', [status(esa)], [multiply_additive_inverse1])).
% 0.56/0.89 thf(zip_derived_cl16, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.56/0.89 inference('cnf', [status(esa)], [boolean_ring])).
% 0.56/0.89 thf(additive_inverse_additive_inverse, axiom,
% 0.56/0.89 (( additive_inverse @ ( additive_inverse @ X ) ) = ( X ))).
% 0.56/0.89 thf(zip_derived_cl5, plain,
% 0.56/0.89 (![X0 : $i]: ((additive_inverse @ (additive_inverse @ X0)) = (X0))),
% 0.56/0.89 inference('cnf', [status(esa)], [additive_inverse_additive_inverse])).
% 0.56/0.89 thf(zip_derived_cl60, plain, (![X0 : $i]: ((additive_inverse @ X0) = (X0))),
% 0.56/0.89 inference('demod', [status(thm)],
% 0.56/0.89 [zip_derived_cl57, zip_derived_cl9, zip_derived_cl16,
% 0.56/0.89 zip_derived_cl5])).
% 0.56/0.89 thf(zip_derived_cl134, plain,
% 0.56/0.89 (![X0 : $i]: ((add @ X0 @ X0) = (additive_identity))),
% 0.56/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 0.56/0.89 thf(zip_derived_cl11, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.89 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 0.56/0.89 inference('cnf', [status(esa)], [associative_addition])).
% 0.56/0.89 thf(zip_derived_cl236, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]:
% 0.56/0.89 ((add @ additive_identity @ X0) = (add @ X1 @ (add @ X1 @ X0)))),
% 0.56/0.89 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl11])).
% 0.56/0.89 thf(left_identity, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 0.56/0.89 thf(zip_derived_cl0, plain,
% 0.56/0.89 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 0.56/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.89 thf(zip_derived_cl242, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]: ((X0) = (add @ X1 @ (add @ X1 @ X0)))),
% 0.56/0.89 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl0])).
% 0.56/0.89 thf(zip_derived_cl700, plain,
% 0.56/0.89 (((add @ b @ (add @ c @ (multiply @ b @ a))) = (add @ a @ (add @ a @ b)))),
% 0.56/0.89 inference('sup+', [status(thm)], [zip_derived_cl420, zip_derived_cl242])).
% 0.56/0.89 thf(zip_derived_cl242, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]: ((X0) = (add @ X1 @ (add @ X1 @ X0)))),
% 0.56/0.89 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl0])).
% 0.56/0.89 thf(zip_derived_cl712, plain,
% 0.56/0.89 (((add @ b @ (add @ c @ (multiply @ b @ a))) = (b))),
% 0.56/0.89 inference('demod', [status(thm)], [zip_derived_cl700, zip_derived_cl242])).
% 0.56/0.89 thf(zip_derived_cl242, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]: ((X0) = (add @ X1 @ (add @ X1 @ X0)))),
% 0.56/0.89 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl0])).
% 0.56/0.89 thf(zip_derived_cl808, plain,
% 0.56/0.89 (((add @ c @ (multiply @ b @ a)) = (add @ b @ b))),
% 0.56/0.89 inference('sup+', [status(thm)], [zip_derived_cl712, zip_derived_cl242])).
% 0.56/0.89 thf(zip_derived_cl134, plain,
% 0.56/0.89 (![X0 : $i]: ((add @ X0 @ X0) = (additive_identity))),
% 0.56/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 0.56/0.89 thf(zip_derived_cl813, plain,
% 0.56/0.89 (((add @ c @ (multiply @ b @ a)) = (additive_identity))),
% 0.56/0.89 inference('demod', [status(thm)], [zip_derived_cl808, zip_derived_cl134])).
% 0.56/0.89 thf(zip_derived_cl242, plain,
% 0.56/0.89 (![X0 : $i, X1 : $i]: ((X0) = (add @ X1 @ (add @ X1 @ X0)))),
% 0.56/0.89 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl0])).
% 0.56/0.89 thf(zip_derived_cl819, plain,
% 0.56/0.89 (((multiply @ b @ a) = (add @ c @ additive_identity))),
% 0.56/0.89 inference('sup+', [status(thm)], [zip_derived_cl813, zip_derived_cl242])).
% 0.56/0.89 thf(right_identity, axiom, (( add @ X @ additive_identity ) = ( X ))).
% 0.56/0.89 thf(zip_derived_cl14, plain,
% 0.56/0.89 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 0.56/0.89 inference('cnf', [status(esa)], [right_identity])).
% 0.56/0.89 thf(zip_derived_cl824, plain, (((multiply @ b @ a) = (c))),
% 0.56/0.89 inference('demod', [status(thm)], [zip_derived_cl819, zip_derived_cl14])).
% 0.56/0.89 thf(prove_commutativity, conjecture, (( multiply @ b @ a ) = ( c ))).
% 0.56/0.89 thf(zf_stmt_1, negated_conjecture, (( multiply @ b @ a ) != ( c )),
% 0.56/0.89 inference('cnf.neg', [status(esa)], [prove_commutativity])).
% 0.56/0.89 thf(zip_derived_cl18, plain, (((multiply @ b @ a) != (c))),
% 0.56/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.89 thf(zip_derived_cl825, plain, ($false),
% 0.56/0.89 inference('simplify_reflect-', [status(thm)],
% 0.56/0.89 [zip_derived_cl824, zip_derived_cl18])).
% 0.56/0.89
% 0.56/0.89 % SZS output end Refutation
% 0.56/0.89
% 0.56/0.89
% 0.56/0.89 % Terminating...
% 0.58/0.97 % Runner terminated.
% 0.58/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------