%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP012-4 : 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.Bl7f745HKc true
% Computer : n019.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 04:35:25 PM UTC 2025
% Result : Unsatisfiable 1.22s 0.77s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP012-4 : TPTP v9.2.0. Released v1.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Bl7f745HKc true
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 14:17:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.19/0.59 % Total configuration time : 435
% 0.19/0.59 % Estimated wc time : 1092
% 0.19/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.74/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.05/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.05/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.77 % Solved by fo/fo6_bce.sh.
% 1.22/0.77 % BCE start: 6
% 1.22/0.77 % BCE eliminated: 0
% 1.22/0.77 % PE start: 6
% 1.22/0.77 logic: eq
% 1.22/0.77 % PE eliminated: 0
% 1.22/0.77 % done 32 iterations in 0.049s
% 1.22/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/0.77 % SZS output start Refutation
% 1.22/0.77 thf(a_type, type, a: $i).
% 1.22/0.77 thf(identity_type, type, identity: $i).
% 1.22/0.77 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.22/0.77 thf(inverse_type, type, inverse: $i > $i).
% 1.22/0.77 thf(b_type, type, b: $i).
% 1.22/0.77 thf(prove_inverse_of_product_is_product_of_inverses, conjecture,
% 1.22/0.77 (( inverse @ ( multiply @ a @ b ) ) =
% 1.22/0.77 ( multiply @ ( inverse @ b ) @ ( inverse @ a ) ))).
% 1.22/0.77 thf(zf_stmt_0, negated_conjecture,
% 1.22/0.77 (( inverse @ ( multiply @ a @ b ) ) !=
% 1.22/0.77 ( multiply @ ( inverse @ b ) @ ( inverse @ a ) )),
% 1.22/0.77 inference('cnf.neg', [status(esa)],
% 1.22/0.77 [prove_inverse_of_product_is_product_of_inverses])).
% 1.22/0.77 thf(zip_derived_cl5, plain,
% 1.22/0.77 (((inverse @ (multiply @ a @ b))
% 1.22/0.77 != (multiply @ (inverse @ b) @ (inverse @ a)))),
% 1.22/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/0.77 thf(right_inverse, axiom,
% 1.22/0.77 (( multiply @ X @ ( inverse @ X ) ) = ( identity ))).
% 1.22/0.77 thf(zip_derived_cl4, plain,
% 1.22/0.77 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.22/0.77 inference('cnf', [status(esa)], [right_inverse])).
% 1.22/0.77 thf(associativity, axiom,
% 1.22/0.77 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.22/0.77 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.22/0.77 thf(zip_derived_cl2, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.77 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/0.77 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/0.77 inference('cnf', [status(esa)], [associativity])).
% 1.22/0.77 thf(zip_derived_cl12, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i]:
% 1.22/0.77 ((identity)
% 1.22/0.77 = (multiply @ X1 @
% 1.22/0.77 (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))))),
% 1.22/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.22/0.77 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.22/0.77 thf(zip_derived_cl1, plain,
% 1.22/0.77 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.22/0.77 inference('cnf', [status(esa)], [left_inverse])).
% 1.22/0.77 thf(zip_derived_cl2, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.77 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.22/0.77 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.22/0.77 inference('cnf', [status(esa)], [associativity])).
% 1.22/0.77 thf(zip_derived_cl17, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i]:
% 1.22/0.77 ((multiply @ identity @ X0)
% 1.22/0.77 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.22/0.77 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.22/0.77 thf(zip_derived_cl0, plain,
% 1.22/0.77 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.22/0.77 inference('cnf', [status(esa)], [left_identity])).
% 1.22/0.77 thf(zip_derived_cl22, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i]:
% 1.22/0.77 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.77 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 1.22/0.77 thf(zip_derived_cl38, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i]:
% 1.22/0.77 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))
% 1.22/0.77 = (multiply @ (inverse @ X1) @ identity))),
% 1.22/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl22])).
% 1.22/0.77 thf(right_identity, axiom, (( multiply @ X @ identity ) = ( X ))).
% 1.22/0.77 thf(zip_derived_cl3, plain,
% 1.22/0.77 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.22/0.77 inference('cnf', [status(esa)], [right_identity])).
% 1.22/0.77 thf(zip_derived_cl61, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i]:
% 1.22/0.77 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 1.22/0.77 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl3])).
% 1.22/0.77 thf(zip_derived_cl22, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i]:
% 1.22/0.77 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.22/0.77 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 1.22/0.77 thf(zip_derived_cl162, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i]:
% 1.22/0.77 ((inverse @ (multiply @ X0 @ X1))
% 1.22/0.77 = (multiply @ (inverse @ X1) @ (inverse @ X0)))),
% 1.22/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl22])).
% 1.22/0.77 thf(zip_derived_cl244, plain,
% 1.22/0.77 (((inverse @ (multiply @ a @ b)) != (inverse @ (multiply @ a @ b)))),
% 1.22/0.77 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl162])).
% 1.22/0.77 thf(zip_derived_cl245, plain, ($false),
% 1.22/0.77 inference('simplify', [status(thm)], [zip_derived_cl244])).
% 1.22/0.77
% 1.22/0.77 % SZS output end Refutation
% 1.22/0.77
% 1.22/0.77
% 1.22/0.77 % Terminating...
% 1.55/0.89 % Runner terminated.
% 1.55/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------