%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP418-1 : 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.PVQmpw3PGP true
% Computer : n013.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 04:36:24 PM UTC 2025
% Result : Unsatisfiable 22.63s 3.82s
% Output : Refutation 22.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP418-1 : 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.PVQmpw3PGP true
% 0.11/0.35 % Computer : n013.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Wed Oct 1 14:28:38 EDT 2025
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Running portfolio for 300 s
% 0.11/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in FO mode
% 0.20/0.61 % Total configuration time : 435
% 0.20/0.61 % Estimated wc time : 1092
% 0.20/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 22.63/3.82 % Solved by fo/fo7.sh.
% 22.63/3.82 % done 94 iterations in 3.070s
% 22.63/3.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 22.63/3.82 % SZS output start Refutation
% 22.63/3.82 thf(b1_type, type, b1: $i).
% 22.63/3.82 thf(inverse_type, type, inverse: $i > $i).
% 22.63/3.82 thf(multiply_type, type, multiply: $i > $i > $i).
% 22.63/3.82 thf(a1_type, type, a1: $i).
% 22.63/3.82 thf(single_axiom, axiom,
% 22.63/3.82 (( inverse @
% 22.63/3.82 ( multiply @
% 22.63/3.82 ( inverse @
% 22.63/3.82 ( multiply @
% 22.63/3.82 A @
% 22.63/3.82 ( inverse @
% 22.63/3.82 ( multiply @
% 22.63/3.82 ( inverse @ B ) @
% 22.63/3.82 ( inverse @
% 22.63/3.82 ( multiply @
% 22.63/3.82 C @ ( inverse @ ( multiply @ ( inverse @ C ) @ C ) ) ) ) ) ) ) ) @
% 22.63/3.82 ( multiply @ A @ C ) ) ) =
% 22.63/3.82 ( B ))).
% 22.63/3.82 thf(zip_derived_cl0, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ X0) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 22.63/3.82 (multiply @ X1 @ X2)))
% 22.63/3.82 = (X0))),
% 22.63/3.82 inference('cnf', [status(esa)], [single_axiom])).
% 22.63/3.82 thf(zip_derived_cl0, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ X0) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 22.63/3.82 (multiply @ X1 @ X2)))
% 22.63/3.82 = (X0))),
% 22.63/3.82 inference('cnf', [status(esa)], [single_axiom])).
% 22.63/3.82 thf(zip_derived_cl2, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X4 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X0 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))))) @
% 22.63/3.82 (multiply @ X4 @ X3)))
% 22.63/3.82 = (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ X0) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 22.63/3.82 (multiply @ X2 @ X1)))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 22.63/3.82 thf(zip_derived_cl0, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ X0) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 22.63/3.82 (multiply @ X1 @ X2)))
% 22.63/3.82 = (X0))),
% 22.63/3.82 inference('cnf', [status(esa)], [single_axiom])).
% 22.63/3.82 thf(zip_derived_cl17, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (inverse @ X2)) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 22.63/3.82 (multiply @ X1 @ X0)) = (X2))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 22.63/3.82 thf(zip_derived_cl0, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ X0) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 22.63/3.82 (multiply @ X1 @ X2)))
% 22.63/3.82 = (X0))),
% 22.63/3.82 inference('cnf', [status(esa)], [single_axiom])).
% 22.63/3.82 thf(zip_derived_cl46, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X3 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (inverse @ X0)) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @
% 22.63/3.82 (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ X1) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (multiply @ X3 @ X2) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 22.63/3.82 (multiply @ X3 @ X2))))))))) @
% 22.63/3.82 X0))
% 22.63/3.82 = (X1))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 22.63/3.82 thf(zip_derived_cl0, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ X0) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 22.63/3.82 (multiply @ X1 @ X2)))
% 22.63/3.82 = (X0))),
% 22.63/3.82 inference('cnf', [status(esa)], [single_axiom])).
% 22.63/3.82 thf(zip_derived_cl137, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X3)))
% 22.63/3.82 = (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X3 @
% 22.63/3.82 (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ X0) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (multiply @ X2 @ X1) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 22.63/3.82 (multiply @ X2 @ X1)))))))))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 22.63/3.82 thf(zip_derived_cl17, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (inverse @ X2)) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 22.63/3.82 (multiply @ X1 @ X0)) = (X2))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 22.63/3.82 thf(zip_derived_cl17, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (inverse @ X2)) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 22.63/3.82 (multiply @ X1 @ X0)) = (X2))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 22.63/3.82 thf(zip_derived_cl48, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/3.82 ((multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X3 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (inverse @ X0)) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (inverse @ X1)) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (multiply @ X3 @ X2) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 22.63/3.82 (multiply @ X3 @ X2))))))))) @
% 22.63/3.82 X0) = (X1))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl17])).
% 22.63/3.82 thf(zip_derived_cl544, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 22.63/3.82 (multiply @ X1 @ X0)))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 22.63/3.82 = (X2))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl48])).
% 22.63/3.82 thf(zip_derived_cl137, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X3)))
% 22.63/3.82 = (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X3 @
% 22.63/3.82 (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ X0) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (multiply @ X2 @ X1) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 22.63/3.82 (multiply @ X2 @ X1)))))))))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 22.63/3.82 thf(zip_derived_cl46, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X3 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (inverse @ X0)) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @
% 22.63/3.82 (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ X1) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (multiply @ X3 @ X2) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 22.63/3.82 (multiply @ X3 @ X2))))))))) @
% 22.63/3.82 X0))
% 22.63/3.82 = (X1))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 22.63/3.82 thf(zip_derived_cl542, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 22.63/3.82 (multiply @ X1 @ X0)))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 22.63/3.82 = (X2))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 22.63/3.82 thf(zip_derived_cl542, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((inverse @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 22.63/3.82 (multiply @ X1 @ X0)))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 22.63/3.82 = (X2))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 22.63/3.82 thf(zip_derived_cl17, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (inverse @ X2)) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 22.63/3.82 (multiply @ X1 @ X0)) = (X2))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 22.63/3.82 thf(zip_derived_cl940, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/3.82 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X1))
% 22.63/3.82 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 22.63/3.82 (multiply @ X2 @ X1)))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl17])).
% 22.63/3.82 thf(zip_derived_cl1151, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/3.82 ((multiply @ X0 @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 22.63/3.82 (multiply @ X4 @ X3)))) @
% 22.63/3.82 X1))
% 22.63/3.82 = (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 22.63/3.82 (multiply @ X2 @ X1)))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl940])).
% 22.63/3.82 thf(zip_derived_cl1151, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/3.82 ((multiply @ X0 @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 22.63/3.82 (multiply @ X4 @ X3)))) @
% 22.63/3.82 X1))
% 22.63/3.82 = (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X2 @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 22.63/3.82 (multiply @ X2 @ X1)))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl940])).
% 22.63/3.82 thf(zip_derived_cl1384, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/3.82 ((multiply @ X5 @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 22.63/3.82 (multiply @ X4 @ X1)))) @
% 22.63/3.82 X0))
% 22.63/3.82 = (multiply @ X3 @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 22.63/3.82 (multiply @ X2 @ X1)))) @
% 22.63/3.82 X0)))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl1151, zip_derived_cl1151])).
% 22.63/3.82 thf(zip_derived_cl1629, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/3.82 ((multiply @ (inverse @ X0) @ X0)
% 22.63/3.82 = (multiply @ X3 @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 22.63/3.82 (multiply @ X2 @ X1)))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 22.63/3.82 thf(prove_these_axioms_1, conjecture,
% 22.63/3.82 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 22.63/3.82 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 22.63/3.82 thf(zf_stmt_0, negated_conjecture,
% 22.63/3.82 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 22.63/3.82 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 22.63/3.82 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 22.63/3.82 thf(zip_derived_cl1, plain,
% 22.63/3.82 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 22.63/3.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 22.63/3.82 thf(zip_derived_cl1905, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/3.82 ((multiply @ (inverse @ a1) @ a1)
% 22.63/3.82 != (multiply @ X2 @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 22.63/3.82 (multiply @ X1 @ X0)))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))),
% 22.63/3.82 inference('sup-', [status(thm)], [zip_derived_cl1629, zip_derived_cl1])).
% 22.63/3.82 thf(zip_derived_cl1629, plain,
% 22.63/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/3.82 ((multiply @ (inverse @ X0) @ X0)
% 22.63/3.82 = (multiply @ X3 @
% 22.63/3.82 (multiply @
% 22.63/3.82 (inverse @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 22.63/3.82 (multiply @ X2 @ X1)))) @
% 22.63/3.82 (inverse @
% 22.63/3.82 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 22.63/3.82 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 22.63/3.82 thf(zip_derived_cl2137, plain,
% 22.63/3.82 (![X0 : $i]:
% 22.63/3.82 ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ X0) @ X0))),
% 22.63/3.82 inference('demod', [status(thm)],
% 22.63/3.82 [zip_derived_cl1905, zip_derived_cl1629])).
% 22.63/3.82 thf(zip_derived_cl2151, plain, ($false),
% 22.63/3.82 inference('eq_res', [status(thm)], [zip_derived_cl2137])).
% 22.63/3.82
% 22.63/3.82 % SZS output end Refutation
% 22.63/3.82
% 22.63/3.82
% 22.63/3.82 % Terminating...
% 23.13/3.95 % Runner terminated.
% 23.13/3.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------