%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG008-4 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yB4DchvsYY true
% Computer : n003.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 Oct 2 04:50:12 PM UTC 2025
% Result : Unsatisfiable 0.83s 2.16s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.83 % Problem : RNG008-4 : TPTP v9.2.0. Released v1.0.0.
% 0.09/0.92 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yB4DchvsYY true
% 0.11/1.21 % Computer : n003.cluster.edu
% 0.11/1.21 % Model : x86_64 x86_64
% 0.11/1.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.21 % Memory : 8042.1875MB
% 0.11/1.21 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.21 % CPULimit : 300
% 0.11/1.21 % WCLimit : 300
% 0.11/1.21 % DateTime : Wed Oct 1 17:24:09 EDT 2025
% 0.14/1.22 % CPUTime :
% 0.14/1.22 % Running portfolio for 300 s
% 0.14/1.22 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/1.23 % Number of cores: 8
% 0.14/1.25 % Python version: Python 3.6.8
% 0.14/1.26 % Running in FO mode
% 0.14/1.61 % Total configuration time : 435
% 0.14/1.61 % Estimated wc time : 1092
% 0.14/1.61 % Estimated cpu time (7 cpus) : 156.0
% 0.81/1.92 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.81/1.94 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.81/1.95 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.81/1.97 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.81/1.98 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/1.99 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.83/2.00 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.83/2.16 % Solved by fo/fo3_bce.sh.
% 0.83/2.16 % BCE start: 17
% 0.83/2.16 % BCE eliminated: 0
% 0.83/2.16 % PE start: 17
% 0.83/2.16 logic: eq
% 0.83/2.16 % PE eliminated: 0
% 0.83/2.16 % done 73 iterations in 0.142s
% 0.83/2.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.83/2.16 % SZS output start Refutation
% 0.83/2.16 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.83/2.16 thf(c_type, type, c: $i).
% 0.83/2.16 thf(a_type, type, a: $i).
% 0.83/2.16 thf(b_type, type, b: $i).
% 0.83/2.16 thf(additive_identity_type, type, additive_identity: $i).
% 0.83/2.16 thf(add_type, type, add: $i > $i > $i).
% 0.83/2.16 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 0.83/2.16 thf(a_times_b_is_c, conjecture, (( multiply @ a @ b ) != ( c ))).
% 0.83/2.16 thf(zf_stmt_0, negated_conjecture, (( multiply @ a @ b ) = ( c )),
% 0.83/2.16 inference('cnf.neg', [status(esa)], [a_times_b_is_c])).
% 0.83/2.16 thf(zip_derived_cl15, plain, (((multiply @ a @ b) = (c))),
% 0.83/2.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.83/2.16 thf(boolean_ring, axiom, (( multiply @ X @ X ) = ( X ))).
% 0.83/2.16 thf(zip_derived_cl14, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.83/2.16 inference('cnf', [status(esa)], [boolean_ring])).
% 0.83/2.16 thf(distribute1, axiom,
% 0.83/2.16 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 0.83/2.16 ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 0.83/2.16 thf(zip_derived_cl2, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.83/2.16 ((multiply @ X0 @ (add @ X1 @ X2))
% 0.83/2.16 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 0.83/2.16 inference('cnf', [status(esa)], [distribute1])).
% 0.83/2.16 thf(zip_derived_cl47, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]:
% 0.83/2.16 ((add @ X1 @ X0)
% 0.83/2.16 = (add @ (multiply @ (add @ X1 @ X0) @ X1) @
% 0.83/2.16 (multiply @ (add @ X1 @ X0) @ X0)))),
% 0.83/2.16 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl2])).
% 0.83/2.16 thf(distribute2, axiom,
% 0.83/2.16 (( multiply @ ( add @ X @ Y ) @ Z ) =
% 0.83/2.16 ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ))).
% 0.83/2.16 thf(zip_derived_cl3, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.83/2.16 ((multiply @ (add @ X0 @ X2) @ X1)
% 0.83/2.16 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 0.83/2.16 inference('cnf', [status(esa)], [distribute2])).
% 0.83/2.16 thf(zip_derived_cl14, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.83/2.16 inference('cnf', [status(esa)], [boolean_ring])).
% 0.83/2.16 thf(zip_derived_cl3, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.83/2.16 ((multiply @ (add @ X0 @ X2) @ X1)
% 0.83/2.16 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 0.83/2.16 inference('cnf', [status(esa)], [distribute2])).
% 0.83/2.16 thf(zip_derived_cl14, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.83/2.16 inference('cnf', [status(esa)], [boolean_ring])).
% 0.83/2.16 thf(commutative_addition, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 0.83/2.16 thf(zip_derived_cl12, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.83/2.16 inference('cnf', [status(esa)], [commutative_addition])).
% 0.83/2.16 thf(associative_addition, axiom,
% 0.83/2.16 (( add @ ( add @ X @ Y ) @ Z ) = ( add @ X @ ( add @ Y @ Z ) ))).
% 0.83/2.16 thf(zip_derived_cl11, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.83/2.16 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 0.83/2.16 inference('cnf', [status(esa)], [associative_addition])).
% 0.83/2.16 thf(zip_derived_cl276, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]:
% 0.83/2.16 ((add @ X1 @ X0)
% 0.83/2.16 = (add @ X1 @
% 0.83/2.16 (add @ (multiply @ X0 @ X1) @ (add @ X0 @ (multiply @ X1 @ X0)))))),
% 0.83/2.16 inference('demod', [status(thm)],
% 0.83/2.16 [zip_derived_cl47, zip_derived_cl3, zip_derived_cl14,
% 0.83/2.16 zip_derived_cl3, zip_derived_cl14, zip_derived_cl12,
% 0.83/2.16 zip_derived_cl11])).
% 0.83/2.16 thf(zip_derived_cl299, plain,
% 0.83/2.16 (((add @ a @ b) = (add @ a @ (add @ (multiply @ b @ a) @ (add @ b @ c))))),
% 0.83/2.16 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl276])).
% 0.83/2.16 thf(zip_derived_cl12, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.83/2.16 inference('cnf', [status(esa)], [commutative_addition])).
% 0.83/2.16 thf(zip_derived_cl11, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.83/2.16 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 0.83/2.16 inference('cnf', [status(esa)], [associative_addition])).
% 0.83/2.16 thf(zip_derived_cl330, plain,
% 0.83/2.16 (((add @ a @ b) = (add @ a @ (add @ b @ (add @ c @ (multiply @ b @ a)))))),
% 0.83/2.16 inference('demod', [status(thm)],
% 0.83/2.16 [zip_derived_cl299, zip_derived_cl12, zip_derived_cl11])).
% 0.83/2.16 thf(left_additive_inverse, axiom,
% 0.83/2.16 (( add @ ( additive_inverse @ X ) @ X ) = ( additive_identity ))).
% 0.83/2.16 thf(zip_derived_cl1, plain,
% 0.83/2.16 (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 0.83/2.16 inference('cnf', [status(esa)], [left_additive_inverse])).
% 0.83/2.16 thf(zip_derived_cl14, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.83/2.16 inference('cnf', [status(esa)], [boolean_ring])).
% 0.83/2.16 thf(multiply_additive_inverse2, axiom,
% 0.83/2.16 (( multiply @ ( additive_inverse @ X ) @ Y ) =
% 0.83/2.16 ( additive_inverse @ ( multiply @ X @ Y ) ))).
% 0.83/2.16 thf(zip_derived_cl10, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]:
% 0.83/2.16 ((multiply @ (additive_inverse @ X0) @ X1)
% 0.83/2.16 = (additive_inverse @ (multiply @ X0 @ X1)))),
% 0.83/2.16 inference('cnf', [status(esa)], [multiply_additive_inverse2])).
% 0.83/2.16 thf(zip_derived_cl35, plain,
% 0.83/2.16 (![X0 : $i]:
% 0.83/2.16 ((additive_inverse @ X0)
% 0.83/2.16 = (additive_inverse @ (multiply @ X0 @ (additive_inverse @ X0))))),
% 0.83/2.16 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl10])).
% 0.83/2.16 thf(multiply_additive_inverse1, axiom,
% 0.83/2.16 (( multiply @ X @ ( additive_inverse @ Y ) ) =
% 0.83/2.16 ( additive_inverse @ ( multiply @ X @ Y ) ))).
% 0.83/2.16 thf(zip_derived_cl9, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]:
% 0.83/2.16 ((multiply @ X0 @ (additive_inverse @ X1))
% 0.83/2.16 = (additive_inverse @ (multiply @ X0 @ X1)))),
% 0.83/2.16 inference('cnf', [status(esa)], [multiply_additive_inverse1])).
% 0.83/2.16 thf(zip_derived_cl14, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.83/2.16 inference('cnf', [status(esa)], [boolean_ring])).
% 0.83/2.16 thf(additive_inverse_additive_inverse, axiom,
% 0.83/2.16 (( additive_inverse @ ( additive_inverse @ X ) ) = ( X ))).
% 0.83/2.16 thf(zip_derived_cl5, plain,
% 0.83/2.16 (![X0 : $i]: ((additive_inverse @ (additive_inverse @ X0)) = (X0))),
% 0.83/2.16 inference('cnf', [status(esa)], [additive_inverse_additive_inverse])).
% 0.83/2.16 thf(zip_derived_cl38, plain, (![X0 : $i]: ((additive_inverse @ X0) = (X0))),
% 0.83/2.16 inference('demod', [status(thm)],
% 0.83/2.16 [zip_derived_cl35, zip_derived_cl9, zip_derived_cl14,
% 0.83/2.16 zip_derived_cl5])).
% 0.83/2.16 thf(zip_derived_cl43, plain,
% 0.83/2.16 (![X0 : $i]: ((add @ X0 @ X0) = (additive_identity))),
% 0.83/2.16 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl38])).
% 0.83/2.16 thf(zip_derived_cl11, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.83/2.16 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 0.83/2.16 inference('cnf', [status(esa)], [associative_addition])).
% 0.83/2.16 thf(zip_derived_cl114, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]:
% 0.83/2.16 ((add @ additive_identity @ X0) = (add @ X1 @ (add @ X1 @ X0)))),
% 0.83/2.16 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl11])).
% 0.83/2.16 thf(left_identity, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 0.83/2.16 thf(zip_derived_cl0, plain,
% 0.83/2.16 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 0.83/2.16 inference('cnf', [status(esa)], [left_identity])).
% 0.83/2.16 thf(zip_derived_cl119, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]: ((X0) = (add @ X1 @ (add @ X1 @ X0)))),
% 0.83/2.16 inference('demod', [status(thm)], [zip_derived_cl114, zip_derived_cl0])).
% 0.83/2.16 thf(zip_derived_cl622, plain,
% 0.83/2.16 (((add @ b @ (add @ c @ (multiply @ b @ a))) = (add @ a @ (add @ a @ b)))),
% 0.83/2.16 inference('sup+', [status(thm)], [zip_derived_cl330, zip_derived_cl119])).
% 0.83/2.16 thf(zip_derived_cl119, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]: ((X0) = (add @ X1 @ (add @ X1 @ X0)))),
% 0.83/2.16 inference('demod', [status(thm)], [zip_derived_cl114, zip_derived_cl0])).
% 0.83/2.16 thf(zip_derived_cl632, plain,
% 0.83/2.16 (((add @ b @ (add @ c @ (multiply @ b @ a))) = (b))),
% 0.83/2.16 inference('demod', [status(thm)], [zip_derived_cl622, zip_derived_cl119])).
% 0.83/2.16 thf(zip_derived_cl119, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]: ((X0) = (add @ X1 @ (add @ X1 @ X0)))),
% 0.83/2.16 inference('demod', [status(thm)], [zip_derived_cl114, zip_derived_cl0])).
% 0.83/2.16 thf(zip_derived_cl714, plain,
% 0.83/2.16 (((add @ c @ (multiply @ b @ a)) = (add @ b @ b))),
% 0.83/2.16 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl119])).
% 0.83/2.16 thf(zip_derived_cl43, plain,
% 0.83/2.16 (![X0 : $i]: ((add @ X0 @ X0) = (additive_identity))),
% 0.83/2.16 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl38])).
% 0.83/2.16 thf(zip_derived_cl719, plain,
% 0.83/2.16 (((add @ c @ (multiply @ b @ a)) = (additive_identity))),
% 0.83/2.16 inference('demod', [status(thm)], [zip_derived_cl714, zip_derived_cl43])).
% 0.83/2.16 thf(zip_derived_cl119, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]: ((X0) = (add @ X1 @ (add @ X1 @ X0)))),
% 0.83/2.16 inference('demod', [status(thm)], [zip_derived_cl114, zip_derived_cl0])).
% 0.83/2.16 thf(zip_derived_cl810, plain,
% 0.83/2.16 (((multiply @ b @ a) = (add @ c @ additive_identity))),
% 0.83/2.16 inference('sup+', [status(thm)], [zip_derived_cl719, zip_derived_cl119])).
% 0.83/2.16 thf(zip_derived_cl12, plain,
% 0.83/2.16 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.83/2.16 inference('cnf', [status(esa)], [commutative_addition])).
% 0.83/2.16 thf(zip_derived_cl0, plain,
% 0.83/2.16 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 0.83/2.16 inference('cnf', [status(esa)], [left_identity])).
% 0.83/2.16 thf(zip_derived_cl22, plain,
% 0.83/2.16 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 0.83/2.16 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 0.83/2.16 thf(zip_derived_cl817, plain, (((multiply @ b @ a) = (c))),
% 0.83/2.16 inference('demod', [status(thm)], [zip_derived_cl810, zip_derived_cl22])).
% 0.83/2.16 thf(prove_commutativity, conjecture, (( multiply @ b @ a ) = ( c ))).
% 0.83/2.16 thf(zf_stmt_1, negated_conjecture, (( multiply @ b @ a ) != ( c )),
% 0.83/2.16 inference('cnf.neg', [status(esa)], [prove_commutativity])).
% 0.83/2.16 thf(zip_derived_cl16, plain, (((multiply @ b @ a) != (c))),
% 0.83/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.83/2.16 thf(zip_derived_cl818, plain, ($false),
% 0.83/2.16 inference('simplify_reflect-', [status(thm)],
% 0.83/2.16 [zip_derived_cl817, zip_derived_cl16])).
% 0.83/2.16
% 0.83/2.16 % SZS output end Refutation
% 0.83/2.16
% 0.83/2.16
% 0.83/2.16 % Terminating...
% 0.96/2.30 % Runner terminated.
% 1.08/2.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------