%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP512-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AHhY8a9ius 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 04:36:35 PM UTC 2025
% Result : Unsatisfiable 1.34s 0.83s
% Output : Refutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP512-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AHhY8a9ius true
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 14:20:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 1.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.32/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.32/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.32/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.83 % Solved by fo/fo7.sh.
% 1.34/0.83 % done 22 iterations in 0.069s
% 1.34/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.83 % SZS output start Refutation
% 1.34/0.83 thf(b_type, type, b: $i).
% 1.34/0.83 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.34/0.83 thf(inverse_type, type, inverse: $i > $i).
% 1.34/0.83 thf(a_type, type, a: $i).
% 1.34/0.83 thf(prove_these_axioms_4, conjecture,
% 1.34/0.83 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 1.34/0.83 thf(zf_stmt_0, negated_conjecture,
% 1.34/0.83 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 1.34/0.83 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 1.34/0.83 thf(zip_derived_cl1, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 1.34/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/0.83 thf(single_axiom, axiom,
% 1.34/0.83 (( multiply @
% 1.34/0.83 ( multiply @ ( multiply @ A @ B ) @ C ) @
% 1.34/0.83 ( inverse @ ( multiply @ A @ C ) ) ) =
% 1.34/0.83 ( B ))).
% 1.34/0.83 thf(zip_derived_cl0, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 1.34/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.34/0.83 thf(zip_derived_cl0, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 1.34/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.34/0.83 thf(zip_derived_cl4, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ X0 @
% 1.34/0.83 (inverse @
% 1.34/0.83 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X2 @ X1)))))
% 1.34/0.83 = (X1))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.34/0.83 thf(zip_derived_cl0, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 1.34/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.34/0.83 thf(zip_derived_cl0, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 1.34/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.34/0.83 thf(zip_derived_cl0, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 1.34/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.34/0.83 thf(zip_derived_cl2, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ X0 @ X3) @
% 1.34/0.83 (inverse @ (multiply @ (multiply @ (multiply @ X2 @ X0) @ X1) @ X3)))
% 1.34/0.83 = (inverse @ (multiply @ X2 @ X1)))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.34/0.83 thf(zip_derived_cl29, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ X0 @ (inverse @ (multiply @ X2 @ X1))) @
% 1.34/0.83 (inverse @ X0)) = (inverse @ (multiply @ X2 @ X1)))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.34/0.83 thf(zip_derived_cl54, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ X3 @ (inverse @ X0)) @ (inverse @ X3))
% 1.34/0.83 = (inverse @
% 1.34/0.83 (multiply @ X2 @
% 1.34/0.83 (inverse @
% 1.34/0.83 (multiply @ (multiply @ X1 @ X2) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ X0)))))))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl29])).
% 1.34/0.83 thf(zip_derived_cl4, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ X0 @
% 1.34/0.83 (inverse @
% 1.34/0.83 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X2 @ X1)))))
% 1.34/0.83 = (X1))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.34/0.83 thf(zip_derived_cl58, plain,
% 1.34/0.83 (![X0 : $i, X3 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ X3 @ (inverse @ X0)) @ (inverse @ X3))
% 1.34/0.83 = (inverse @ X0))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl4])).
% 1.34/0.83 thf(zip_derived_cl58, plain,
% 1.34/0.83 (![X0 : $i, X3 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ X3 @ (inverse @ X0)) @ (inverse @ X3))
% 1.34/0.83 = (inverse @ X0))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl4])).
% 1.34/0.83 thf(zip_derived_cl69, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((multiply @ (inverse @ X0) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 1.34/0.83 thf(zip_derived_cl4, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ X0 @
% 1.34/0.83 (inverse @
% 1.34/0.83 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X2 @ X1)))))
% 1.34/0.83 = (X1))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.34/0.83 thf(zip_derived_cl83, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 1.34/0.83 thf(zip_derived_cl58, plain,
% 1.34/0.83 (![X0 : $i, X3 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ X3 @ (inverse @ X0)) @ (inverse @ X3))
% 1.34/0.83 = (inverse @ X0))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl4])).
% 1.34/0.83 thf(zip_derived_cl91, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2))
% 1.34/0.83 = (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl58])).
% 1.34/0.83 thf(zip_derived_cl83, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 1.34/0.83 thf(zip_derived_cl107, plain,
% 1.34/0.83 (![X0 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2)) = (X0))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl83])).
% 1.34/0.83 thf(zip_derived_cl69, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((multiply @ (inverse @ X0) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 1.34/0.83 thf(zip_derived_cl143, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 1.34/0.83 = (inverse @ (multiply @ X1 @ X0)))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl69])).
% 1.34/0.83 thf(zip_derived_cl69, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((multiply @ (inverse @ X0) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 1.34/0.83 thf(zip_derived_cl180, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((multiply @ (inverse @ X0) @
% 1.34/0.83 (inverse @ (inverse @ (multiply @ X1 @ X0))))
% 1.34/0.83 = (inverse @ (inverse @ X1)))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl69])).
% 1.34/0.83 thf(zip_derived_cl83, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 1.34/0.83 thf(zip_derived_cl69, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((multiply @ (inverse @ X0) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 1.34/0.83 thf(zip_derived_cl83, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 1.34/0.83 thf(zip_derived_cl100, plain,
% 1.34/0.83 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ X0))) = (inverse @ X0))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl83])).
% 1.34/0.83 thf(zip_derived_cl117, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((inverse @ (inverse @ X0))
% 1.34/0.83 = (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl100])).
% 1.34/0.83 thf(zip_derived_cl83, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 1.34/0.83 thf(zip_derived_cl119, plain,
% 1.34/0.83 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 1.34/0.83 thf(zip_derived_cl119, plain,
% 1.34/0.83 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 1.34/0.83 thf(zip_derived_cl193, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 1.34/0.83 inference('demod', [status(thm)],
% 1.34/0.83 [zip_derived_cl180, zip_derived_cl119, zip_derived_cl119])).
% 1.34/0.83 thf(zip_derived_cl83, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 1.34/0.83 thf(zip_derived_cl224, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((inverse @ (multiply @ (inverse @ X1) @ (inverse @ X0)))
% 1.34/0.83 = (multiply @ X0 @ X1))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl83])).
% 1.34/0.83 thf(zip_derived_cl69, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((multiply @ (inverse @ X0) @
% 1.34/0.83 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 1.34/0.83 thf(zip_derived_cl107, plain,
% 1.34/0.83 (![X0 : $i, X2 : $i]:
% 1.34/0.83 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2)) = (X0))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl83])).
% 1.34/0.83 thf(zip_derived_cl153, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((multiply @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 1.34/0.83 = (inverse @ (multiply @ X0 @ (inverse @ X1))))),
% 1.34/0.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl107])).
% 1.34/0.83 thf(zip_derived_cl119, plain,
% 1.34/0.83 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 1.34/0.83 thf(zip_derived_cl154, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]:
% 1.34/0.83 ((multiply @ (inverse @ X0) @ X1)
% 1.34/0.83 = (inverse @ (multiply @ X0 @ (inverse @ X1))))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl153, zip_derived_cl119])).
% 1.34/0.83 thf(zip_derived_cl119, plain,
% 1.34/0.83 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 1.34/0.83 thf(zip_derived_cl119, plain,
% 1.34/0.83 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 1.34/0.83 thf(zip_derived_cl250, plain,
% 1.34/0.83 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 1.34/0.83 inference('demod', [status(thm)],
% 1.34/0.83 [zip_derived_cl224, zip_derived_cl154, zip_derived_cl119,
% 1.34/0.83 zip_derived_cl119])).
% 1.34/0.83 thf(zip_derived_cl280, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 1.34/0.83 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl250])).
% 1.34/0.83 thf(zip_derived_cl281, plain, ($false),
% 1.34/0.83 inference('simplify', [status(thm)], [zip_derived_cl280])).
% 1.34/0.83
% 1.34/0.83 % SZS output end Refutation
% 1.34/0.83
% 1.34/0.83
% 1.34/0.83 % Terminating...
% 1.66/0.93 % Runner terminated.
% 1.66/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------