%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO013-4 : TPTP v9.2.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.c5PhGkG53z true
% Computer : n021.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 04:29:47 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.83s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO013-4 : TPTP v9.2.0. Released v1.1.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.c5PhGkG53z true
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 13:57:08 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.58/0.65 % Total configuration time : 435
% 0.58/0.65 % Estimated wc time : 1092
% 0.58/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.83 % Solved by fo/fo7.sh.
% 0.58/0.83 % done 66 iterations in 0.038s
% 0.58/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.83 % SZS output start Refutation
% 0.58/0.83 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/0.83 thf(b_type, type, b: $i).
% 0.58/0.83 thf(add_type, type, add: $i > $i > $i).
% 0.58/0.83 thf(inverse_type, type, inverse: $i > $i).
% 0.58/0.83 thf(a_type, type, a: $i).
% 0.58/0.83 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 0.58/0.83 thf(additive_identity_type, type, additive_identity: $i).
% 0.58/0.83 thf(multiplicative_inverse1, axiom,
% 0.58/0.83 (( multiply @ X @ ( inverse @ X ) ) = ( additive_identity ))).
% 0.58/0.83 thf(zip_derived_cl7, plain,
% 0.58/0.83 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 0.58/0.83 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 0.58/0.83 thf(commutativity_of_multiply, axiom,
% 0.58/0.83 (( multiply @ X @ Y ) = ( multiply @ Y @ X ))).
% 0.58/0.83 thf(zip_derived_cl1, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.58/0.83 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 0.58/0.83 thf(b_a_multiplicative_identity, axiom,
% 0.58/0.83 (( add @ a @ b ) = ( multiplicative_identity ))).
% 0.58/0.83 thf(zip_derived_cl8, plain, (((add @ a @ b) = (multiplicative_identity))),
% 0.58/0.83 inference('cnf', [status(esa)], [b_a_multiplicative_identity])).
% 0.58/0.83 thf(distributivity2, axiom,
% 0.58/0.83 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 0.58/0.83 ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 0.58/0.83 thf(zip_derived_cl3, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((multiply @ X0 @ (add @ X1 @ X2))
% 0.58/0.83 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [distributivity2])).
% 0.58/0.83 thf(zip_derived_cl33, plain,
% 0.58/0.83 (![X0 : $i]:
% 0.58/0.83 ((multiply @ X0 @ multiplicative_identity)
% 0.58/0.83 = (add @ (multiply @ X0 @ a) @ (multiply @ X0 @ b)))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 0.58/0.83 thf(multiplicative_id1, axiom,
% 0.58/0.83 (( multiply @ X @ multiplicative_identity ) = ( X ))).
% 0.58/0.83 thf(zip_derived_cl5, plain,
% 0.58/0.83 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 0.58/0.83 inference('cnf', [status(esa)], [multiplicative_id1])).
% 0.58/0.83 thf(zip_derived_cl36, plain,
% 0.58/0.83 (![X0 : $i]: ((X0) = (add @ (multiply @ X0 @ a) @ (multiply @ X0 @ b)))),
% 0.58/0.83 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl5])).
% 0.58/0.83 thf(zip_derived_cl38, plain,
% 0.58/0.83 (![X0 : $i]: ((X0) = (add @ (multiply @ X0 @ a) @ (multiply @ b @ X0)))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl36])).
% 0.58/0.83 thf(zip_derived_cl159, plain,
% 0.58/0.83 (((inverse @ b)
% 0.58/0.83 = (add @ (multiply @ (inverse @ b) @ a) @ additive_identity))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl38])).
% 0.58/0.83 thf(zip_derived_cl1, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.58/0.83 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 0.58/0.83 thf(b_an_additive_identity, axiom,
% 0.58/0.83 (( multiply @ a @ b ) = ( additive_identity ))).
% 0.58/0.83 thf(zip_derived_cl9, plain, (((multiply @ a @ b) = (additive_identity))),
% 0.58/0.83 inference('cnf', [status(esa)], [b_an_additive_identity])).
% 0.58/0.83 thf(additive_inverse1, axiom,
% 0.58/0.83 (( add @ X @ ( inverse @ X ) ) = ( multiplicative_identity ))).
% 0.58/0.83 thf(zip_derived_cl6, plain,
% 0.58/0.83 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 0.58/0.83 inference('cnf', [status(esa)], [additive_inverse1])).
% 0.58/0.83 thf(zip_derived_cl3, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((multiply @ X0 @ (add @ X1 @ X2))
% 0.58/0.83 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [distributivity2])).
% 0.58/0.83 thf(zip_derived_cl31, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]:
% 0.58/0.83 ((multiply @ X1 @ multiplicative_identity)
% 0.58/0.83 = (add @ (multiply @ X1 @ X0) @ (multiply @ X1 @ (inverse @ X0))))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 0.58/0.83 thf(zip_derived_cl5, plain,
% 0.58/0.83 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 0.58/0.83 inference('cnf', [status(esa)], [multiplicative_id1])).
% 0.58/0.83 thf(zip_derived_cl35, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]:
% 0.58/0.83 ((X1)
% 0.58/0.83 = (add @ (multiply @ X1 @ X0) @ (multiply @ X1 @ (inverse @ X0))))),
% 0.58/0.83 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl5])).
% 0.58/0.83 thf(zip_derived_cl88, plain,
% 0.58/0.83 (((a) = (add @ additive_identity @ (multiply @ a @ (inverse @ b))))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl35])).
% 0.58/0.83 thf(additive_id1, axiom, (( add @ X @ additive_identity ) = ( X ))).
% 0.58/0.83 thf(zip_derived_cl4, plain,
% 0.58/0.83 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 0.58/0.83 inference('cnf', [status(esa)], [additive_id1])).
% 0.58/0.83 thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.58/0.83 inference('cnf', [status(esa)], [commutativity_of_add])).
% 0.58/0.83 thf(zip_derived_cl11, plain,
% 0.58/0.83 (![X0 : $i]: ((X0) = (add @ additive_identity @ X0))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.58/0.83 thf(zip_derived_cl126, plain, (((multiply @ a @ (inverse @ b)) = (a))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl4, plain,
% 0.58/0.83 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 0.58/0.83 inference('cnf', [status(esa)], [additive_id1])).
% 0.58/0.83 thf(zip_derived_cl166, plain, (((inverse @ b) = (a))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl159, zip_derived_cl1, zip_derived_cl126,
% 0.58/0.83 zip_derived_cl4])).
% 0.58/0.83 thf(zip_derived_cl7, plain,
% 0.58/0.83 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 0.58/0.83 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 0.58/0.83 thf(zip_derived_cl171, plain, (((multiply @ b @ a) = (additive_identity))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl7])).
% 0.58/0.83 thf(zip_derived_cl35, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]:
% 0.58/0.83 ((X1)
% 0.58/0.83 = (add @ (multiply @ X1 @ X0) @ (multiply @ X1 @ (inverse @ X0))))),
% 0.58/0.83 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl5])).
% 0.58/0.83 thf(zip_derived_cl181, plain,
% 0.58/0.83 (((b) = (add @ additive_identity @ (multiply @ b @ (inverse @ a))))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl35])).
% 0.58/0.83 thf(zip_derived_cl1, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.58/0.83 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 0.58/0.83 thf(zip_derived_cl11, plain,
% 0.58/0.83 (![X0 : $i]: ((X0) = (add @ additive_identity @ X0))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.58/0.83 thf(zip_derived_cl185, plain, (((b) = (multiply @ (inverse @ a) @ b))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl181, zip_derived_cl1, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl35, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]:
% 0.58/0.83 ((X1)
% 0.58/0.83 = (add @ (multiply @ X1 @ X0) @ (multiply @ X1 @ (inverse @ X0))))),
% 0.58/0.83 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl5])).
% 0.58/0.83 thf(zip_derived_cl189, plain,
% 0.58/0.83 (((inverse @ a) = (add @ b @ (multiply @ (inverse @ a) @ (inverse @ b))))),
% 0.58/0.83 inference('sup+', [status(thm)], [zip_derived_cl185, zip_derived_cl35])).
% 0.58/0.83 thf(zip_derived_cl166, plain, (((inverse @ b) = (a))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl159, zip_derived_cl1, zip_derived_cl126,
% 0.58/0.83 zip_derived_cl4])).
% 0.58/0.83 thf(zip_derived_cl1, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.58/0.83 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 0.58/0.83 thf(zip_derived_cl7, plain,
% 0.58/0.83 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 0.58/0.83 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 0.58/0.83 thf(zip_derived_cl4, plain,
% 0.58/0.83 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 0.58/0.83 inference('cnf', [status(esa)], [additive_id1])).
% 0.58/0.83 thf(zip_derived_cl191, plain, (((inverse @ a) = (b))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl189, zip_derived_cl166, zip_derived_cl1,
% 0.58/0.83 zip_derived_cl7, zip_derived_cl4])).
% 0.58/0.83 thf(prove_a_inverse_is_b, conjecture, (( b ) = ( inverse @ a ))).
% 0.58/0.83 thf(zf_stmt_0, negated_conjecture, (( b ) != ( inverse @ a )),
% 0.58/0.83 inference('cnf.neg', [status(esa)], [prove_a_inverse_is_b])).
% 0.58/0.83 thf(zip_derived_cl10, plain, (((b) != (inverse @ a))),
% 0.58/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.83 thf(zip_derived_cl192, plain, ($false),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl191, zip_derived_cl10])).
% 0.58/0.83
% 0.58/0.83 % SZS output end Refutation
% 0.58/0.83
% 0.58/0.83
% 0.58/0.83 % Terminating...
% 1.55/0.90 % Runner terminated.
% 1.55/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------