%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG012-6 : 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.mqKYB5l2DT true
% Computer : n027.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 04:50:13 PM UTC 2025
% Result : Unsatisfiable 7.29s 1.57s
% Output : Refutation 7.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : RNG012-6 : TPTP v9.2.0. Released v1.0.0.
% 0.09/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mqKYB5l2DT true
% 0.09/0.29 % Computer : n027.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Oct 1 17:20:23 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.14/0.29 % Running in FO mode
% 0.14/0.57 % Total configuration time : 435
% 0.14/0.57 % Estimated wc time : 1092
% 0.14/0.57 % Estimated cpu time (7 cpus) : 156.0
% 1.05/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.05/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.05/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.05/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.29/1.57 % Solved by fo/fo7.sh.
% 7.29/1.57 % done 316 iterations in 0.888s
% 7.29/1.57 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.29/1.57 % SZS output start Refutation
% 7.29/1.57 thf(multiply_type, type, multiply: $i > $i > $i).
% 7.29/1.57 thf(b_type, type, b: $i).
% 7.29/1.57 thf(a_type, type, a: $i).
% 7.29/1.57 thf(additive_identity_type, type, additive_identity: $i).
% 7.29/1.57 thf(add_type, type, add: $i > $i > $i).
% 7.29/1.57 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 7.29/1.57 thf(prove_equation, conjecture,
% 7.29/1.57 (( multiply @ ( additive_inverse @ a ) @ ( additive_inverse @ b ) ) =
% 7.29/1.57 ( multiply @ a @ b ))).
% 7.29/1.57 thf(zf_stmt_0, negated_conjecture,
% 7.29/1.57 (( multiply @ ( additive_inverse @ a ) @ ( additive_inverse @ b ) ) !=
% 7.29/1.57 ( multiply @ a @ b )),
% 7.29/1.57 inference('cnf.neg', [status(esa)], [prove_equation])).
% 7.29/1.57 thf(zip_derived_cl15, plain,
% 7.29/1.57 (((multiply @ (additive_inverse @ a) @ (additive_inverse @ b))
% 7.29/1.57 != (multiply @ a @ b))),
% 7.29/1.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.29/1.57 thf(right_additive_inverse, axiom,
% 7.29/1.57 (( add @ X @ ( additive_inverse @ X ) ) = ( additive_identity ))).
% 7.29/1.57 thf(zip_derived_cl5, plain,
% 7.29/1.57 (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 7.29/1.57 inference('cnf', [status(esa)], [right_additive_inverse])).
% 7.29/1.57 thf(distribute2, axiom,
% 7.29/1.57 (( multiply @ ( add @ X @ Y ) @ Z ) =
% 7.29/1.57 ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ))).
% 7.29/1.57 thf(zip_derived_cl8, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.29/1.57 ((multiply @ (add @ X0 @ X2) @ X1)
% 7.29/1.57 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 7.29/1.57 inference('cnf', [status(esa)], [distribute2])).
% 7.29/1.57 thf(zip_derived_cl1023, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((multiply @ additive_identity @ X0)
% 7.29/1.57 = (add @ (multiply @ X1 @ X0) @
% 7.29/1.57 (multiply @ (additive_inverse @ X1) @ X0)))),
% 7.29/1.57 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl8])).
% 7.29/1.57 thf(left_multiplicative_zero, axiom,
% 7.29/1.57 (( multiply @ additive_identity @ X ) = ( additive_identity ))).
% 7.29/1.57 thf(zip_derived_cl2, plain,
% 7.29/1.57 (![X0 : $i]: ((multiply @ additive_identity @ X0) = (additive_identity))),
% 7.29/1.57 inference('cnf', [status(esa)], [left_multiplicative_zero])).
% 7.29/1.57 thf(zip_derived_cl1044, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((additive_identity)
% 7.29/1.57 = (add @ (multiply @ X1 @ X0) @
% 7.29/1.57 (multiply @ (additive_inverse @ X1) @ X0)))),
% 7.29/1.57 inference('demod', [status(thm)], [zip_derived_cl1023, zip_derived_cl2])).
% 7.29/1.57 thf(left_additive_inverse, axiom,
% 7.29/1.57 (( add @ ( additive_inverse @ X ) @ X ) = ( additive_identity ))).
% 7.29/1.57 thf(zip_derived_cl4, plain,
% 7.29/1.57 (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 7.29/1.57 inference('cnf', [status(esa)], [left_additive_inverse])).
% 7.29/1.57 thf(associativity_for_addition, axiom,
% 7.29/1.57 (( add @ X @ ( add @ Y @ Z ) ) = ( add @ ( add @ X @ Y ) @ Z ))).
% 7.29/1.57 thf(zip_derived_cl10, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.29/1.57 ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 7.29/1.57 inference('cnf', [status(esa)], [associativity_for_addition])).
% 7.29/1.57 thf(zip_derived_cl62, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0))
% 7.29/1.57 = (add @ additive_identity @ X0))),
% 7.29/1.57 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 7.29/1.57 thf(left_additive_identity, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 7.29/1.57 thf(zip_derived_cl0, plain,
% 7.29/1.57 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 7.29/1.57 inference('cnf', [status(esa)], [left_additive_identity])).
% 7.29/1.57 thf(zip_derived_cl66, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 7.29/1.57 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 7.29/1.57 thf(zip_derived_cl1367, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((add @ (additive_inverse @ (multiply @ X1 @ X0)) @ additive_identity)
% 7.29/1.57 = (multiply @ (additive_inverse @ X1) @ X0))),
% 7.29/1.57 inference('sup+', [status(thm)], [zip_derived_cl1044, zip_derived_cl66])).
% 7.29/1.57 thf(zip_derived_cl5, plain,
% 7.29/1.57 (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 7.29/1.57 inference('cnf', [status(esa)], [right_additive_inverse])).
% 7.29/1.57 thf(distribute1, axiom,
% 7.29/1.57 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 7.29/1.57 ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 7.29/1.57 thf(zip_derived_cl7, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.29/1.57 ((multiply @ X0 @ (add @ X1 @ X2))
% 7.29/1.57 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 7.29/1.57 inference('cnf', [status(esa)], [distribute1])).
% 7.29/1.57 thf(zip_derived_cl971, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((multiply @ X1 @ additive_identity)
% 7.29/1.57 = (add @ (multiply @ X1 @ X0) @
% 7.29/1.57 (multiply @ X1 @ (additive_inverse @ X0))))),
% 7.29/1.57 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl7])).
% 7.29/1.57 thf(right_multiplicative_zero, axiom,
% 7.29/1.57 (( multiply @ X @ additive_identity ) = ( additive_identity ))).
% 7.29/1.57 thf(zip_derived_cl3, plain,
% 7.29/1.57 (![X0 : $i]: ((multiply @ X0 @ additive_identity) = (additive_identity))),
% 7.29/1.57 inference('cnf', [status(esa)], [right_multiplicative_zero])).
% 7.29/1.57 thf(zip_derived_cl994, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((additive_identity)
% 7.29/1.57 = (add @ (multiply @ X1 @ X0) @
% 7.29/1.57 (multiply @ X1 @ (additive_inverse @ X0))))),
% 7.29/1.57 inference('demod', [status(thm)], [zip_derived_cl971, zip_derived_cl3])).
% 7.29/1.57 thf(zip_derived_cl66, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 7.29/1.57 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 7.29/1.57 thf(zip_derived_cl1249, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((add @ (additive_inverse @ (multiply @ X1 @ X0)) @ additive_identity)
% 7.29/1.57 = (multiply @ X1 @ (additive_inverse @ X0)))),
% 7.29/1.57 inference('sup+', [status(thm)], [zip_derived_cl994, zip_derived_cl66])).
% 7.29/1.57 thf(right_additive_identity, axiom,
% 7.29/1.57 (( add @ X @ additive_identity ) = ( X ))).
% 7.29/1.57 thf(zip_derived_cl1, plain,
% 7.29/1.57 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 7.29/1.57 inference('cnf', [status(esa)], [right_additive_identity])).
% 7.29/1.57 thf(zip_derived_cl1648, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((multiply @ X1 @ (additive_inverse @ X0))
% 7.29/1.57 = (additive_inverse @ (multiply @ X1 @ X0)))),
% 7.29/1.57 inference('sup+', [status(thm)], [zip_derived_cl1249, zip_derived_cl1])).
% 7.29/1.57 thf(zip_derived_cl1, plain,
% 7.29/1.57 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 7.29/1.57 inference('cnf', [status(esa)], [right_additive_identity])).
% 7.29/1.57 thf(zip_derived_cl2476, plain,
% 7.29/1.57 (![X0 : $i, X1 : $i]:
% 7.29/1.57 ((multiply @ X1 @ (additive_inverse @ X0))
% 7.29/1.57 = (multiply @ (additive_inverse @ X1) @ X0))),
% 7.29/1.57 inference('demod', [status(thm)],
% 7.29/1.57 [zip_derived_cl1367, zip_derived_cl1648, zip_derived_cl1])).
% 7.29/1.57 thf(additive_inverse_additive_inverse, axiom,
% 7.29/1.57 (( additive_inverse @ ( additive_inverse @ X ) ) = ( X ))).
% 7.29/1.57 thf(zip_derived_cl6, plain,
% 7.29/1.57 (![X0 : $i]: ((additive_inverse @ (additive_inverse @ X0)) = (X0))),
% 7.29/1.57 inference('cnf', [status(esa)], [additive_inverse_additive_inverse])).
% 7.29/1.57 thf(zip_derived_cl2477, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 7.29/1.57 inference('demod', [status(thm)],
% 7.29/1.57 [zip_derived_cl15, zip_derived_cl2476, zip_derived_cl6])).
% 7.29/1.57 thf(zip_derived_cl2478, plain, ($false),
% 7.29/1.57 inference('simplify', [status(thm)], [zip_derived_cl2477])).
% 7.29/1.57
% 7.29/1.57 % SZS output end Refutation
% 7.29/1.57
% 7.29/1.57
% 7.29/1.57 % Terminating...
% 7.71/1.75 % Runner terminated.
% 7.71/1.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------