%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP445-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c5faCOAnGC true
% Computer : n011.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 04:36:27 PM UTC 2025
% Result : Unsatisfiable 0.18s 0.61s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP445-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c5faCOAnGC true
% 0.11/0.34 % Computer : n011.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Oct 1 14:07:38 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in FO mode
% 0.18/0.50 % Total configuration time : 435
% 0.18/0.50 % Estimated wc time : 1092
% 0.18/0.50 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.18/0.61 % Solved by fo/fo1_av.sh.
% 0.18/0.61 % done 24 iterations in 0.031s
% 0.18/0.61 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.18/0.61 % SZS output start Refutation
% 0.18/0.61 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.18/0.61 thf(b1_type, type, b1: $i).
% 0.18/0.61 thf(a1_type, type, a1: $i).
% 0.18/0.61 thf(divide_type, type, divide: $i > $i > $i).
% 0.18/0.61 thf(inverse_type, type, inverse: $i > $i).
% 0.18/0.61 thf(inverse, axiom, (( inverse @ A ) = ( divide @ ( divide @ B @ B ) @ A ))).
% 0.18/0.61 thf(zip_derived_cl2, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.18/0.61 inference('cnf', [status(esa)], [inverse])).
% 0.18/0.61 thf(zip_derived_cl2, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.18/0.61 inference('cnf', [status(esa)], [inverse])).
% 0.18/0.61 thf(zip_derived_cl4, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.18/0.61 thf(zip_derived_cl4, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.18/0.61 thf(zip_derived_cl4, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.18/0.61 thf(zip_derived_cl7, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1)
% 0.18/0.61 = (divide @
% 0.18/0.61 (inverse @ (inverse @ (inverse @ (divide @ X0 @ X0)))) @ X1))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 0.18/0.61 thf(single_axiom, axiom,
% 0.18/0.61 (( divide @
% 0.18/0.61 A @
% 0.18/0.61 ( divide @
% 0.18/0.61 ( divide @ ( divide @ ( divide @ A @ A ) @ B ) @ C ) @
% 0.18/0.61 ( divide @ ( divide @ ( divide @ A @ A ) @ A ) @ C ) ) ) =
% 0.18/0.61 ( B ))).
% 0.18/0.61 thf(zip_derived_cl0, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.18/0.61 ((divide @ X1 @
% 0.18/0.61 (divide @ (divide @ (divide @ (divide @ X1 @ X1) @ X0) @ X2) @
% 0.18/0.61 (divide @ (divide @ (divide @ X1 @ X1) @ X1) @ X2)))
% 0.18/0.61 = (X0))),
% 0.18/0.61 inference('cnf', [status(esa)], [single_axiom])).
% 0.18/0.61 thf(zip_derived_cl2, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.18/0.61 inference('cnf', [status(esa)], [inverse])).
% 0.18/0.61 thf(zip_derived_cl2, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.18/0.61 inference('cnf', [status(esa)], [inverse])).
% 0.18/0.61 thf(zip_derived_cl16, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.18/0.61 ((divide @ X1 @
% 0.18/0.61 (divide @ (divide @ (inverse @ X0) @ X2) @
% 0.18/0.61 (divide @ (inverse @ X1) @ X2)))
% 0.18/0.61 = (X0))),
% 0.18/0.61 inference('demod', [status(thm)],
% 0.18/0.61 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.18/0.61 thf(zip_derived_cl78, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.18/0.61 ((divide @ (inverse @ (inverse @ (divide @ X2 @ X2))) @
% 0.18/0.61 (divide @ (divide @ (inverse @ X1) @ X0) @ (inverse @ X0))) = (
% 0.18/0.61 X1))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl16])).
% 0.18/0.61 thf(multiply, axiom,
% 0.18/0.61 (( multiply @ A @ B ) =
% 0.18/0.61 ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ))).
% 0.18/0.61 thf(zip_derived_cl1, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.18/0.61 ((multiply @ X0 @ X2)
% 0.18/0.61 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 0.18/0.61 inference('cnf', [status(esa)], [multiply])).
% 0.18/0.61 thf(zip_derived_cl2, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.18/0.61 inference('cnf', [status(esa)], [inverse])).
% 0.18/0.61 thf(zip_derived_cl31, plain,
% 0.18/0.61 (![X0 : $i, X2 : $i]:
% 0.18/0.61 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.18/0.61 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.18/0.61 thf(zip_derived_cl4, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.18/0.61 thf(zip_derived_cl2, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.18/0.61 inference('cnf', [status(esa)], [inverse])).
% 0.18/0.61 thf(zip_derived_cl6, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ X1)
% 0.18/0.61 = (divide @ (inverse @ (inverse @ (divide @ X0 @ X0))) @ X1))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.18/0.61 thf(zip_derived_cl87, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ (multiply @ (divide @ (inverse @ X1) @ X0) @ X0)) = (X1))),
% 0.18/0.61 inference('demod', [status(thm)],
% 0.18/0.61 [zip_derived_cl78, zip_derived_cl31, zip_derived_cl6])).
% 0.18/0.61 thf(zip_derived_cl99, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((inverse @ (multiply @ (inverse @ X0) @ X0)) = (divide @ X1 @ X1))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl87])).
% 0.18/0.61 thf(zip_derived_cl31, plain,
% 0.18/0.61 (![X0 : $i, X2 : $i]:
% 0.18/0.61 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.18/0.61 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.18/0.61 thf(zip_derived_cl149, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((multiply @ (inverse @ X1) @ X1)
% 0.18/0.61 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl31])).
% 0.18/0.61 thf(zip_derived_cl149, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((multiply @ (inverse @ X1) @ X1)
% 0.18/0.61 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl31])).
% 0.18/0.61 thf(zip_derived_cl213, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl149])).
% 0.18/0.61 thf(prove_these_axioms_1, conjecture,
% 0.18/0.61 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.18/0.61 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.18/0.61 thf(zf_stmt_0, negated_conjecture,
% 0.18/0.61 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.18/0.61 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.18/0.61 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.18/0.61 thf(zip_derived_cl3, plain,
% 0.18/0.61 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.18/0.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.18/0.61 thf(zip_derived_cl269, plain,
% 0.18/0.61 (![X0 : $i]:
% 0.18/0.61 ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ X0) @ X0))),
% 0.18/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl3])).
% 0.18/0.61 thf(zip_derived_cl213, plain,
% 0.18/0.61 (![X0 : $i, X1 : $i]:
% 0.18/0.61 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 0.18/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl149])).
% 0.18/0.61 thf(zip_derived_cl299, plain, ($false),
% 0.18/0.61 inference('simplify_reflect+', [status(thm)],
% 0.18/0.61 [zip_derived_cl269, zip_derived_cl213])).
% 0.18/0.61
% 0.18/0.61 % SZS output end Refutation
% 0.18/0.61
% 0.18/0.61
% 0.18/0.61 % Terminating...
% 1.34/0.71 % Runner terminated.
% 1.34/0.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------