%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG015-6 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5QfaFgsYdd true
% Computer : n005.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 04:50:14 PM UTC 2025
% Result : Unsatisfiable 0.54s 0.83s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG015-6 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5QfaFgsYdd true
% 0.13/0.34 % Computer : n005.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 : Wed Oct 1 17:24:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.52/0.61 % Total configuration time : 435
% 0.52/0.61 % Estimated wc time : 1092
% 0.52/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.83 % Solved by fo/fo6_bce.sh.
% 0.54/0.83 % BCE start: 16
% 0.54/0.83 % BCE eliminated: 0
% 0.54/0.83 % PE start: 16
% 0.54/0.83 logic: eq
% 0.54/0.83 % PE eliminated: 0
% 0.54/0.83 % done 82 iterations in 0.119s
% 0.54/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.83 % SZS output start Refutation
% 0.54/0.83 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.83 thf(z_type, type, z: $i).
% 0.54/0.83 thf(y_type, type, y: $i).
% 0.54/0.83 thf(x_type, type, x: $i).
% 0.54/0.83 thf(additive_identity_type, type, additive_identity: $i).
% 0.54/0.83 thf(add_type, type, add: $i > $i > $i).
% 0.54/0.83 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 0.54/0.83 thf(prove_distributivity, conjecture,
% 0.54/0.83 (( multiply @ x @ ( add @ y @ ( additive_inverse @ z ) ) ) =
% 0.54/0.83 ( add @ ( multiply @ x @ y ) @ ( additive_inverse @ ( multiply @ x @ z ) ) ))).
% 0.54/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.83 (( multiply @ x @ ( add @ y @ ( additive_inverse @ z ) ) ) !=
% 0.54/0.83 ( add @ ( multiply @ x @ y ) @ ( additive_inverse @ ( multiply @ x @ z ) ) )),
% 0.54/0.83 inference('cnf.neg', [status(esa)], [prove_distributivity])).
% 0.54/0.83 thf(zip_derived_cl15, plain,
% 0.54/0.83 (((multiply @ x @ (add @ y @ (additive_inverse @ z)))
% 0.54/0.83 != (add @ (multiply @ x @ y) @ (additive_inverse @ (multiply @ x @ z))))),
% 0.54/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.83 thf(commutativity_for_addition, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 0.54/0.83 thf(zip_derived_cl9, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.54/0.83 inference('cnf', [status(esa)], [commutativity_for_addition])).
% 0.54/0.83 thf(right_additive_inverse, axiom,
% 0.54/0.83 (( add @ X @ ( additive_inverse @ X ) ) = ( additive_identity ))).
% 0.54/0.83 thf(zip_derived_cl5, plain,
% 0.54/0.83 (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 0.54/0.83 inference('cnf', [status(esa)], [right_additive_inverse])).
% 0.54/0.83 thf(associativity_for_addition, axiom,
% 0.54/0.83 (( add @ X @ ( add @ Y @ Z ) ) = ( add @ ( add @ X @ Y ) @ Z ))).
% 0.54/0.83 thf(zip_derived_cl10, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 0.54/0.83 inference('cnf', [status(esa)], [associativity_for_addition])).
% 0.54/0.83 thf(zip_derived_cl60, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((add @ X1 @ (add @ (additive_inverse @ X1) @ X0))
% 0.54/0.83 = (add @ additive_identity @ X0))),
% 0.54/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl10])).
% 0.54/0.83 thf(left_additive_identity, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 0.54/0.83 thf(zip_derived_cl0, plain,
% 0.54/0.83 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 0.54/0.83 inference('cnf', [status(esa)], [left_additive_identity])).
% 0.54/0.83 thf(zip_derived_cl67, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((add @ X1 @ (add @ (additive_inverse @ X1) @ X0)) = (X0))),
% 0.54/0.83 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 0.54/0.83 thf(zip_derived_cl224, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((add @ X0 @ (add @ X1 @ (additive_inverse @ X0))) = (X1))),
% 0.54/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl67])).
% 0.54/0.83 thf(distribute1, axiom,
% 0.54/0.83 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 0.54/0.83 ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 0.54/0.83 thf(zip_derived_cl7, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((multiply @ X0 @ (add @ X1 @ X2))
% 0.54/0.83 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 0.54/0.83 inference('cnf', [status(esa)], [distribute1])).
% 0.54/0.83 thf(left_additive_inverse, axiom,
% 0.54/0.83 (( add @ ( additive_inverse @ X ) @ X ) = ( additive_identity ))).
% 0.54/0.83 thf(zip_derived_cl4, plain,
% 0.54/0.83 (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 0.54/0.83 inference('cnf', [status(esa)], [left_additive_inverse])).
% 0.54/0.83 thf(zip_derived_cl10, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 0.54/0.83 inference('cnf', [status(esa)], [associativity_for_addition])).
% 0.54/0.83 thf(zip_derived_cl65, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0))
% 0.54/0.83 = (add @ additive_identity @ X0))),
% 0.54/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 0.54/0.83 thf(zip_derived_cl0, plain,
% 0.54/0.83 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 0.54/0.83 inference('cnf', [status(esa)], [left_additive_identity])).
% 0.54/0.83 thf(zip_derived_cl69, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 0.54/0.83 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 0.54/0.83 thf(zip_derived_cl9, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.54/0.83 inference('cnf', [status(esa)], [commutativity_for_addition])).
% 0.54/0.83 thf(zip_derived_cl238, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((add @ (add @ X1 @ X0) @ (additive_inverse @ X1)) = (X0))),
% 0.54/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl9])).
% 0.54/0.83 thf(zip_derived_cl538, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((add @ (multiply @ X2 @ (add @ X1 @ X0)) @
% 0.54/0.83 (additive_inverse @ (multiply @ X2 @ X1))) = (multiply @ X2 @ X0))),
% 0.54/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl238])).
% 0.54/0.83 thf(zip_derived_cl644, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((add @ (multiply @ X2 @ X0) @
% 0.54/0.83 (additive_inverse @ (multiply @ X2 @ X1)))
% 0.54/0.83 = (multiply @ X2 @ (add @ X0 @ (additive_inverse @ X1))))),
% 0.54/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl538])).
% 0.54/0.83 thf(zip_derived_cl674, plain,
% 0.54/0.83 (((multiply @ x @ (add @ y @ (additive_inverse @ z)))
% 0.54/0.83 != (multiply @ x @ (add @ y @ (additive_inverse @ z))))),
% 0.54/0.83 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl644])).
% 0.54/0.83 thf(zip_derived_cl675, plain, ($false),
% 0.54/0.83 inference('simplify', [status(thm)], [zip_derived_cl674])).
% 0.54/0.83
% 0.54/0.83 % SZS output end Refutation
% 0.54/0.83
% 0.54/0.83
% 0.54/0.83 % Terminating...
% 1.52/0.93 % Runner terminated.
% 1.52/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------