%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO009-2 : 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.pz0I5CUs38 true
% Computer : n025.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 04:29:45 PM UTC 2025
% Result : Unsatisfiable 0.47s 0.77s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : BOO009-2 : TPTP v9.2.0. Released v1.0.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pz0I5CUs38 true
% 0.11/0.31 % Computer : n025.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 13:53:53 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.44/0.57 % Total configuration time : 435
% 0.44/0.57 % Estimated wc time : 1092
% 0.44/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.77 % Solved by fo/fo7.sh.
% 0.47/0.77 % done 94 iterations in 0.072s
% 0.47/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.77 % SZS output start Refutation
% 0.47/0.77 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.47/0.77 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 0.47/0.77 thf(a_type, type, a: $i).
% 0.47/0.77 thf(b_type, type, b: $i).
% 0.47/0.77 thf(add_type, type, add: $i > $i > $i).
% 0.47/0.77 thf(inverse_type, type, inverse: $i > $i).
% 0.47/0.77 thf(additive_identity_type, type, additive_identity: $i).
% 0.47/0.77 thf(prove_operation, conjecture,
% 0.47/0.77 (( multiply @ a @ ( add @ a @ b ) ) = ( a ))).
% 0.47/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.47/0.77 (( multiply @ a @ ( add @ a @ b ) ) != ( a )),
% 0.47/0.77 inference('cnf.neg', [status(esa)], [prove_operation])).
% 0.47/0.77 thf(zip_derived_cl14, plain, (((multiply @ a @ (add @ a @ b)) != (a))),
% 0.47/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.77 thf(distributivity4, axiom,
% 0.47/0.77 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 0.47/0.77 ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 0.47/0.77 thf(zip_derived_cl5, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.77 ((multiply @ X0 @ (add @ X1 @ X2))
% 0.47/0.77 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 0.47/0.77 inference('cnf', [status(esa)], [distributivity4])).
% 0.47/0.77 thf(zip_derived_cl57, plain,
% 0.47/0.77 (((add @ (multiply @ a @ a) @ (multiply @ a @ b)) != (a))),
% 0.47/0.77 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl5])).
% 0.47/0.77 thf(multiplicative_inverse1, axiom,
% 0.47/0.77 (( multiply @ X @ ( inverse @ X ) ) = ( additive_identity ))).
% 0.47/0.77 thf(zip_derived_cl8, plain,
% 0.47/0.77 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 0.47/0.77 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 0.47/0.77 thf(multiplicative_id2, axiom,
% 0.47/0.77 (( multiply @ multiplicative_identity @ X ) = ( X ))).
% 0.47/0.77 thf(zip_derived_cl11, plain,
% 0.47/0.77 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 0.47/0.77 inference('cnf', [status(esa)], [multiplicative_id2])).
% 0.47/0.77 thf(zip_derived_cl8, plain,
% 0.47/0.77 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 0.47/0.77 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 0.47/0.77 thf(zip_derived_cl19, plain,
% 0.47/0.77 (((inverse @ multiplicative_identity) = (additive_identity))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 0.47/0.77 thf(zip_derived_cl21, plain,
% 0.47/0.77 (![X0 : $i]:
% 0.47/0.77 ((multiply @ X0 @ (inverse @ X0))
% 0.47/0.77 = (inverse @ multiplicative_identity))),
% 0.47/0.77 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl19])).
% 0.47/0.77 thf(additive_inverse2, axiom,
% 0.47/0.77 (( add @ ( inverse @ X ) @ X ) = ( multiplicative_identity ))).
% 0.47/0.77 thf(zip_derived_cl7, plain,
% 0.47/0.77 (![X0 : $i]: ((add @ (inverse @ X0) @ X0) = (multiplicative_identity))),
% 0.47/0.77 inference('cnf', [status(esa)], [additive_inverse2])).
% 0.47/0.77 thf(distributivity1, axiom,
% 0.47/0.77 (( add @ ( multiply @ X @ Y ) @ Z ) =
% 0.47/0.77 ( multiply @ ( add @ X @ Z ) @ ( add @ Y @ Z ) ))).
% 0.47/0.77 thf(zip_derived_cl2, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.77 ((add @ (multiply @ X0 @ X2) @ X1)
% 0.47/0.77 = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 0.47/0.77 inference('cnf', [status(esa)], [distributivity1])).
% 0.47/0.77 thf(zip_derived_cl101, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]:
% 0.47/0.77 ((add @ (multiply @ X1 @ (inverse @ X0)) @ X0)
% 0.47/0.77 = (multiply @ (add @ X1 @ X0) @ multiplicative_identity))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.47/0.77 thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 0.47/0.77 thf(zip_derived_cl0, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.47/0.77 inference('cnf', [status(esa)], [commutativity_of_add])).
% 0.47/0.77 thf(multiplicative_id1, axiom,
% 0.47/0.77 (( multiply @ X @ multiplicative_identity ) = ( X ))).
% 0.47/0.77 thf(zip_derived_cl10, plain,
% 0.47/0.77 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 0.47/0.77 inference('cnf', [status(esa)], [multiplicative_id1])).
% 0.47/0.77 thf(zip_derived_cl114, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]:
% 0.47/0.77 ((add @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (add @ X1 @ X0))),
% 0.47/0.77 inference('demod', [status(thm)],
% 0.47/0.77 [zip_derived_cl101, zip_derived_cl0, zip_derived_cl10])).
% 0.47/0.77 thf(zip_derived_cl174, plain,
% 0.47/0.77 (![X0 : $i]:
% 0.47/0.77 ((add @ X0 @ (inverse @ multiplicative_identity)) = (add @ X0 @ X0))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl114])).
% 0.47/0.77 thf(additive_id1, axiom, (( add @ X @ additive_identity ) = ( X ))).
% 0.47/0.77 thf(zip_derived_cl12, plain,
% 0.47/0.77 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 0.47/0.77 inference('cnf', [status(esa)], [additive_id1])).
% 0.47/0.77 thf(zip_derived_cl19, plain,
% 0.47/0.77 (((inverse @ multiplicative_identity) = (additive_identity))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 0.47/0.77 thf(zip_derived_cl22, plain,
% 0.47/0.77 (![X0 : $i]: ((add @ X0 @ (inverse @ multiplicative_identity)) = (X0))),
% 0.47/0.77 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl19])).
% 0.47/0.77 thf(zip_derived_cl181, plain, (![X0 : $i]: ((X0) = (add @ X0 @ X0))),
% 0.47/0.77 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl22])).
% 0.47/0.77 thf(additive_id2, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 0.47/0.77 thf(zip_derived_cl13, plain,
% 0.47/0.77 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 0.47/0.77 inference('cnf', [status(esa)], [additive_id2])).
% 0.47/0.77 thf(zip_derived_cl19, plain,
% 0.47/0.77 (((inverse @ multiplicative_identity) = (additive_identity))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 0.47/0.77 thf(zip_derived_cl23, plain,
% 0.47/0.77 (![X0 : $i]: ((add @ (inverse @ multiplicative_identity) @ X0) = (X0))),
% 0.47/0.77 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl19])).
% 0.47/0.77 thf(zip_derived_cl2, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.77 ((add @ (multiply @ X0 @ X2) @ X1)
% 0.47/0.77 = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 0.47/0.77 inference('cnf', [status(esa)], [distributivity1])).
% 0.47/0.77 thf(zip_derived_cl102, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]:
% 0.47/0.77 ((add @ (multiply @ X1 @ (inverse @ multiplicative_identity)) @ X0)
% 0.47/0.77 = (multiply @ (add @ X1 @ X0) @ X0))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl2])).
% 0.47/0.77 thf(zip_derived_cl11, plain,
% 0.47/0.77 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 0.47/0.77 inference('cnf', [status(esa)], [multiplicative_id2])).
% 0.47/0.77 thf(zip_derived_cl114, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]:
% 0.47/0.77 ((add @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (add @ X1 @ X0))),
% 0.47/0.77 inference('demod', [status(thm)],
% 0.47/0.77 [zip_derived_cl101, zip_derived_cl0, zip_derived_cl10])).
% 0.47/0.77 thf(zip_derived_cl179, plain,
% 0.47/0.77 (![X0 : $i]:
% 0.47/0.77 ((add @ X0 @ (inverse @ X0)) = (add @ multiplicative_identity @ X0))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl114])).
% 0.47/0.77 thf(additive_inverse1, axiom,
% 0.47/0.77 (( add @ X @ ( inverse @ X ) ) = ( multiplicative_identity ))).
% 0.47/0.77 thf(zip_derived_cl6, plain,
% 0.47/0.77 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 0.47/0.77 inference('cnf', [status(esa)], [additive_inverse1])).
% 0.47/0.77 thf(zip_derived_cl184, plain,
% 0.47/0.77 (![X0 : $i]:
% 0.47/0.77 ((multiplicative_identity) = (add @ multiplicative_identity @ X0))),
% 0.47/0.77 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6])).
% 0.47/0.77 thf(zip_derived_cl0, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.47/0.77 inference('cnf', [status(esa)], [commutativity_of_add])).
% 0.47/0.77 thf(distributivity3, axiom,
% 0.47/0.77 (( multiply @ ( add @ X @ Y ) @ Z ) =
% 0.47/0.77 ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ))).
% 0.47/0.77 thf(zip_derived_cl4, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.77 ((multiply @ (add @ X0 @ X2) @ X1)
% 0.47/0.77 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 0.47/0.77 inference('cnf', [status(esa)], [distributivity3])).
% 0.47/0.77 thf(zip_derived_cl48, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.77 ((multiply @ (add @ X1 @ X0) @ X2)
% 0.47/0.77 = (add @ (multiply @ X0 @ X2) @ (multiply @ X1 @ X2)))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.47/0.77 thf(zip_derived_cl203, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]:
% 0.47/0.77 ((multiply @ multiplicative_identity @ X0)
% 0.47/0.77 = (add @ (multiply @ X1 @ X0) @
% 0.47/0.77 (multiply @ multiplicative_identity @ X0)))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl48])).
% 0.47/0.77 thf(zip_derived_cl11, plain,
% 0.47/0.77 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 0.47/0.77 inference('cnf', [status(esa)], [multiplicative_id2])).
% 0.47/0.77 thf(zip_derived_cl11, plain,
% 0.47/0.77 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 0.47/0.77 inference('cnf', [status(esa)], [multiplicative_id2])).
% 0.47/0.77 thf(zip_derived_cl0, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.47/0.77 inference('cnf', [status(esa)], [commutativity_of_add])).
% 0.47/0.77 thf(zip_derived_cl210, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]: ((X0) = (add @ X0 @ (multiply @ X1 @ X0)))),
% 0.47/0.77 inference('demod', [status(thm)],
% 0.47/0.77 [zip_derived_cl203, zip_derived_cl11, zip_derived_cl11,
% 0.47/0.77 zip_derived_cl0])).
% 0.47/0.77 thf(zip_derived_cl23, plain,
% 0.47/0.77 (![X0 : $i]: ((add @ (inverse @ multiplicative_identity) @ X0) = (X0))),
% 0.47/0.77 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl19])).
% 0.47/0.77 thf(zip_derived_cl235, plain,
% 0.47/0.77 (![X0 : $i]:
% 0.47/0.77 ((inverse @ multiplicative_identity)
% 0.47/0.77 = (multiply @ X0 @ (inverse @ multiplicative_identity)))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl23])).
% 0.47/0.77 thf(zip_derived_cl23, plain,
% 0.47/0.77 (![X0 : $i]: ((add @ (inverse @ multiplicative_identity) @ X0) = (X0))),
% 0.47/0.77 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl19])).
% 0.47/0.77 thf(zip_derived_cl247, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ (add @ X1 @ X0) @ X0))),
% 0.47/0.77 inference('demod', [status(thm)],
% 0.47/0.77 [zip_derived_cl102, zip_derived_cl235, zip_derived_cl23])).
% 0.47/0.77 thf(zip_derived_cl309, plain, (![X0 : $i]: ((X0) = (multiply @ X0 @ X0))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl247])).
% 0.47/0.77 thf(zip_derived_cl184, plain,
% 0.47/0.77 (![X0 : $i]:
% 0.47/0.77 ((multiplicative_identity) = (add @ multiplicative_identity @ X0))),
% 0.47/0.77 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6])).
% 0.47/0.77 thf(zip_derived_cl5, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.77 ((multiply @ X0 @ (add @ X1 @ X2))
% 0.47/0.77 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 0.47/0.77 inference('cnf', [status(esa)], [distributivity4])).
% 0.47/0.77 thf(zip_derived_cl207, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]:
% 0.47/0.77 ((multiply @ X1 @ multiplicative_identity)
% 0.47/0.77 = (add @ (multiply @ X1 @ multiplicative_identity) @
% 0.47/0.77 (multiply @ X1 @ X0)))),
% 0.47/0.77 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl5])).
% 0.47/0.77 thf(zip_derived_cl10, plain,
% 0.47/0.77 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 0.47/0.77 inference('cnf', [status(esa)], [multiplicative_id1])).
% 0.47/0.77 thf(zip_derived_cl10, plain,
% 0.47/0.77 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 0.47/0.77 inference('cnf', [status(esa)], [multiplicative_id1])).
% 0.47/0.77 thf(zip_derived_cl214, plain,
% 0.47/0.77 (![X0 : $i, X1 : $i]: ((X1) = (add @ X1 @ (multiply @ X1 @ X0)))),
% 0.47/0.77 inference('demod', [status(thm)],
% 0.47/0.77 [zip_derived_cl207, zip_derived_cl10, zip_derived_cl10])).
% 0.47/0.77 thf(zip_derived_cl322, plain, (((a) != (a))),
% 0.47/0.77 inference('demod', [status(thm)],
% 0.47/0.77 [zip_derived_cl57, zip_derived_cl309, zip_derived_cl214])).
% 0.47/0.77 thf(zip_derived_cl323, plain, ($false),
% 0.47/0.77 inference('simplify', [status(thm)], [zip_derived_cl322])).
% 0.47/0.77
% 0.47/0.77 % SZS output end Refutation
% 0.47/0.77
% 0.47/0.77
% 0.47/0.77 % Terminating...
% 0.51/0.89 % Runner terminated.
% 0.51/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------