%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP419-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k2ymNAGjxJ 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 49.96s 7.72s
% Output : Refutation 49.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP419-1 : TPTP v9.2.0. Released v2.6.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k2ymNAGjxJ true
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:07:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.62 % Total configuration time : 435
% 0.55/0.62 % Estimated wc time : 1092
% 0.55/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 49.96/7.72 % Solved by fo/fo7.sh.
% 49.96/7.72 % done 991 iterations in 6.936s
% 49.96/7.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 49.96/7.72 % SZS output start Refutation
% 49.96/7.72 thf(a2_type, type, a2: $i).
% 49.96/7.72 thf(inverse_type, type, inverse: $i > $i).
% 49.96/7.72 thf(multiply_type, type, multiply: $i > $i > $i).
% 49.96/7.72 thf(b2_type, type, b2: $i).
% 49.96/7.72 thf(single_axiom, axiom,
% 49.96/7.72 (( inverse @
% 49.96/7.72 ( multiply @
% 49.96/7.72 ( inverse @
% 49.96/7.72 ( multiply @
% 49.96/7.72 A @
% 49.96/7.72 ( inverse @
% 49.96/7.72 ( multiply @
% 49.96/7.72 ( inverse @ B ) @
% 49.96/7.72 ( inverse @
% 49.96/7.72 ( multiply @
% 49.96/7.72 C @ ( inverse @ ( multiply @ ( inverse @ C ) @ C ) ) ) ) ) ) ) ) @
% 49.96/7.72 ( multiply @ A @ C ) ) ) =
% 49.96/7.72 ( B ))).
% 49.96/7.72 thf(zip_derived_cl0, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (multiply @ X1 @ X2)))
% 49.96/7.72 = (X0))),
% 49.96/7.72 inference('cnf', [status(esa)], [single_axiom])).
% 49.96/7.72 thf(zip_derived_cl0, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (multiply @ X1 @ X2)))
% 49.96/7.72 = (X0))),
% 49.96/7.72 inference('cnf', [status(esa)], [single_axiom])).
% 49.96/7.72 thf(zip_derived_cl2, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X4 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))))) @
% 49.96/7.72 (multiply @ X4 @ X3)))
% 49.96/7.72 = (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 49.96/7.72 (multiply @ X2 @ X1)))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl0, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (multiply @ X1 @ X2)))
% 49.96/7.72 = (X0))),
% 49.96/7.72 inference('cnf', [status(esa)], [single_axiom])).
% 49.96/7.72 thf(zip_derived_cl17, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (inverse @ X2)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 49.96/7.72 (multiply @ X1 @ X0)) = (X2))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl0, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (multiply @ X1 @ X2)))
% 49.96/7.72 = (X0))),
% 49.96/7.72 inference('cnf', [status(esa)], [single_axiom])).
% 49.96/7.72 thf(zip_derived_cl46, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (inverse @ X0)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X1) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (multiply @ X3 @ X2) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 49.96/7.72 (multiply @ X3 @ X2))))))))) @
% 49.96/7.72 X0))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl0, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (multiply @ X1 @ X2)))
% 49.96/7.72 = (X0))),
% 49.96/7.72 inference('cnf', [status(esa)], [single_axiom])).
% 49.96/7.72 thf(zip_derived_cl137, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X3)))
% 49.96/7.72 = (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (multiply @ X2 @ X1) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 49.96/7.72 (multiply @ X2 @ X1)))))))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl17, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (inverse @ X2)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 49.96/7.72 (multiply @ X1 @ X0)) = (X2))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl17, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (inverse @ X2)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 49.96/7.72 (multiply @ X1 @ X0)) = (X2))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl48, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (inverse @ X0)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (inverse @ X1)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (multiply @ X3 @ X2) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 49.96/7.72 (multiply @ X3 @ X2))))))))) @
% 49.96/7.72 X0) = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl17])).
% 49.96/7.72 thf(zip_derived_cl544, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 49.96/7.72 (multiply @ X1 @ X0)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 49.96/7.72 = (X2))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl48])).
% 49.96/7.72 thf(zip_derived_cl137, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X3)))
% 49.96/7.72 = (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (multiply @ X2 @ X1) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 49.96/7.72 (multiply @ X2 @ X1)))))))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl46, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (inverse @ X0)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X1) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (multiply @ X3 @ X2) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 49.96/7.72 (multiply @ X3 @ X2))))))))) @
% 49.96/7.72 X0))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl542, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 49.96/7.72 (multiply @ X1 @ X0)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 49.96/7.72 = (X2))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 49.96/7.72 thf(zip_derived_cl542, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 49.96/7.72 (multiply @ X1 @ X0)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 49.96/7.72 = (X2))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 49.96/7.72 thf(zip_derived_cl17, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (inverse @ X2)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 49.96/7.72 (multiply @ X1 @ X0)) = (X2))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl940, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X1))
% 49.96/7.72 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 49.96/7.72 (multiply @ X2 @ X1)))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl17])).
% 49.96/7.72 thf(zip_derived_cl1151, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.96/7.72 ((multiply @ X0 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 49.96/7.72 (multiply @ X4 @ X3)))) @
% 49.96/7.72 X1))
% 49.96/7.72 = (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 49.96/7.72 (multiply @ X2 @ X1)))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl940])).
% 49.96/7.72 thf(zip_derived_cl1151, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.96/7.72 ((multiply @ X0 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 49.96/7.72 (multiply @ X4 @ X3)))) @
% 49.96/7.72 X1))
% 49.96/7.72 = (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 49.96/7.72 (multiply @ X2 @ X1)))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl940])).
% 49.96/7.72 thf(zip_derived_cl1384, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.96/7.72 ((multiply @ X5 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 49.96/7.72 (multiply @ X4 @ X1)))) @
% 49.96/7.72 X0))
% 49.96/7.72 = (multiply @ X3 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 49.96/7.72 (multiply @ X2 @ X1)))) @
% 49.96/7.72 X0)))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1151, zip_derived_cl1151])).
% 49.96/7.72 thf(zip_derived_cl1629, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X0) @ X0)
% 49.96/7.72 = (multiply @ X3 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 49.96/7.72 (multiply @ X2 @ X1)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 49.96/7.72 thf(prove_these_axioms_2, conjecture,
% 49.96/7.72 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 49.96/7.72 thf(zf_stmt_0, negated_conjecture,
% 49.96/7.72 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 49.96/7.72 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 49.96/7.72 thf(zip_derived_cl1, plain,
% 49.96/7.72 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 49.96/7.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.96/7.72 thf(zip_derived_cl1905, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((multiply @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 49.96/7.72 (multiply @ X1 @ X0)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))) @
% 49.96/7.72 a2) != (a2))),
% 49.96/7.72 inference('sup-', [status(thm)], [zip_derived_cl1629, zip_derived_cl1])).
% 49.96/7.72 thf(zip_derived_cl1629, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X0) @ X0)
% 49.96/7.72 = (multiply @ X3 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 49.96/7.72 (multiply @ X2 @ X1)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 49.96/7.72 thf(zip_derived_cl2137, plain,
% 49.96/7.72 (![X0 : $i]: ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl1905, zip_derived_cl1629])).
% 49.96/7.72 thf(zip_derived_cl1629, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X0) @ X0)
% 49.96/7.72 = (multiply @ X3 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 49.96/7.72 (multiply @ X2 @ X1)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 49.96/7.72 thf(zip_derived_cl1629, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X0) @ X0)
% 49.96/7.72 = (multiply @ X3 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 49.96/7.72 (multiply @ X2 @ X1)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 49.96/7.72 thf(zip_derived_cl1789, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 49.96/7.72 thf(zip_derived_cl1789, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 49.96/7.72 thf(zip_derived_cl1629, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X0) @ X0)
% 49.96/7.72 = (multiply @ X3 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 49.96/7.72 (multiply @ X2 @ X1)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 49.96/7.72 thf(zip_derived_cl542, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 49.96/7.72 (multiply @ X1 @ X0)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 49.96/7.72 = (X2))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 49.96/7.72 thf(zip_derived_cl1898, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 49.96/7.72 (multiply @ X1 @ X0)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 49.96/7.72 = (X3))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl542])).
% 49.96/7.72 thf(zip_derived_cl1629, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X0) @ X0)
% 49.96/7.72 = (multiply @ X3 @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 49.96/7.72 (multiply @ X2 @ X1)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 49.96/7.72 thf(zip_derived_cl2132, plain,
% 49.96/7.72 (![X0 : $i, X3 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 49.96/7.72 = (X3))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl1898, zip_derived_cl1629])).
% 49.96/7.72 thf(zip_derived_cl2754, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2132])).
% 49.96/7.72 thf(zip_derived_cl3132, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2754])).
% 49.96/7.72 thf(zip_derived_cl542, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 49.96/7.72 (multiply @ X1 @ X0)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 49.96/7.72 = (X2))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 49.96/7.72 thf(zip_derived_cl3299, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl3132, zip_derived_cl542])).
% 49.96/7.72 thf(zip_derived_cl2, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X4 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))))) @
% 49.96/7.72 (multiply @ X4 @ X3)))
% 49.96/7.72 = (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 49.96/7.72 (multiply @ X2 @ X1)))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl4603, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X0)))
% 49.96/7.72 = (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @ (inverse @ (multiply @ (inverse @ X3) @ X3))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 49.96/7.72 (multiply @ X2 @ X1)))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl3299, zip_derived_cl2])).
% 49.96/7.72 thf(zip_derived_cl1789, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 49.96/7.72 thf(zip_derived_cl2754, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2132])).
% 49.96/7.72 thf(zip_derived_cl1789, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 49.96/7.72 thf(zip_derived_cl4704, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (multiply @ (inverse @ X1) @ X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl4603, zip_derived_cl1789, zip_derived_cl2754,
% 49.96/7.72 zip_derived_cl1789])).
% 49.96/7.72 thf(zip_derived_cl4704, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (multiply @ (inverse @ X1) @ X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl4603, zip_derived_cl1789, zip_derived_cl2754,
% 49.96/7.72 zip_derived_cl1789])).
% 49.96/7.72 thf(zip_derived_cl4914, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X2) @ X2))
% 49.96/7.72 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 49.96/7.72 (multiply @ (inverse @ X1) @ X1)))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl4704, zip_derived_cl4704])).
% 49.96/7.72 thf(zip_derived_cl0, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (multiply @ X1 @ X2)))
% 49.96/7.72 = (X0))),
% 49.96/7.72 inference('cnf', [status(esa)], [single_axiom])).
% 49.96/7.72 thf(zip_derived_cl10508, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X1) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 49.96/7.72 (multiply @ (inverse @ X2) @ X2))))))))) @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl4914, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl3132, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2754])).
% 49.96/7.72 thf(zip_derived_cl1789, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 49.96/7.72 thf(zip_derived_cl3321, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X2) @ X2)
% 49.96/7.72 = (multiply @
% 49.96/7.72 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 49.96/7.72 (multiply @ (inverse @ X1) @ X1)))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl3132, zip_derived_cl1789])).
% 49.96/7.72 thf(zip_derived_cl3132, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2754])).
% 49.96/7.72 thf(zip_derived_cl3531, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X2) @ X2)
% 49.96/7.72 = (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 49.96/7.72 (multiply @ (inverse @ X1) @ X1)))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl3321, zip_derived_cl3132])).
% 49.96/7.72 thf(zip_derived_cl1789, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 49.96/7.72 thf(zip_derived_cl4704, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (multiply @ (inverse @ X1) @ X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl4603, zip_derived_cl1789, zip_derived_cl2754,
% 49.96/7.72 zip_derived_cl1789])).
% 49.96/7.72 thf(zip_derived_cl3299, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl3132, zip_derived_cl542])).
% 49.96/7.72 thf(zip_derived_cl4977, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl4704, zip_derived_cl3299])).
% 49.96/7.72 thf(zip_derived_cl4704, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (multiply @ (inverse @ X1) @ X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl4603, zip_derived_cl1789, zip_derived_cl2754,
% 49.96/7.72 zip_derived_cl1789])).
% 49.96/7.72 thf(zip_derived_cl5196, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 49.96/7.72 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1)))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl4977, zip_derived_cl4704])).
% 49.96/7.72 thf(zip_derived_cl7561, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 49.96/7.72 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl5196])).
% 49.96/7.72 thf(zip_derived_cl3299, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl3132, zip_derived_cl542])).
% 49.96/7.72 thf(zip_derived_cl7981, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 49.96/7.72 = (multiply @ (inverse @ X0) @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl7561, zip_derived_cl3299])).
% 49.96/7.72 thf(zip_derived_cl4704, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (multiply @ (inverse @ X1) @ X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl4603, zip_derived_cl1789, zip_derived_cl2754,
% 49.96/7.72 zip_derived_cl1789])).
% 49.96/7.72 thf(zip_derived_cl8150, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 49.96/7.72 = (multiply @ (inverse @ X0) @ X0))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl7981, zip_derived_cl4704])).
% 49.96/7.72 thf(zip_derived_cl1789, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 49.96/7.72 thf(zip_derived_cl4704, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (multiply @ (inverse @ X1) @ X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl4603, zip_derived_cl1789, zip_derived_cl2754,
% 49.96/7.72 zip_derived_cl1789])).
% 49.96/7.72 thf(zip_derived_cl4704, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (multiply @ (inverse @ X1) @ X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl4603, zip_derived_cl1789, zip_derived_cl2754,
% 49.96/7.72 zip_derived_cl1789])).
% 49.96/7.72 thf(zip_derived_cl4809, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0)))
% 49.96/7.72 = (multiply @ (inverse @ X1) @ X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl4704, zip_derived_cl4704])).
% 49.96/7.72 thf(zip_derived_cl544, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 49.96/7.72 (multiply @ X1 @ X0)))) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 49.96/7.72 = (X2))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl48])).
% 49.96/7.72 thf(zip_derived_cl5557, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X1) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ (inverse @ X1)) @ (inverse @ X1))))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl4809, zip_derived_cl544])).
% 49.96/7.72 thf(zip_derived_cl1789, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 49.96/7.72 thf(zip_derived_cl4704, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (multiply @ (inverse @ X1) @ X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl4603, zip_derived_cl1789, zip_derived_cl2754,
% 49.96/7.72 zip_derived_cl1789])).
% 49.96/7.72 thf(zip_derived_cl5741, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl5557, zip_derived_cl1789, zip_derived_cl4704])).
% 49.96/7.72 thf(zip_derived_cl7723, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((multiply @ (multiply @ (inverse @ X2) @ X2) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl5741])).
% 49.96/7.72 thf(zip_derived_cl10927, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (inverse @ X1) @
% 49.96/7.72 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl10508, zip_derived_cl3531, zip_derived_cl8150,
% 49.96/7.72 zip_derived_cl7723])).
% 49.96/7.72 thf(zip_derived_cl3299, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 49.96/7.72 = (X1))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl3132, zip_derived_cl542])).
% 49.96/7.72 thf(zip_derived_cl11152, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @ X0))
% 49.96/7.72 = (inverse @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)],
% 49.96/7.72 [zip_derived_cl10927, zip_derived_cl3299])).
% 49.96/7.72 thf(zip_derived_cl4704, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 49.96/7.72 = (multiply @ (inverse @ X1) @ X1))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl4603, zip_derived_cl1789, zip_derived_cl2754,
% 49.96/7.72 zip_derived_cl1789])).
% 49.96/7.72 thf(zip_derived_cl11417, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((inverse @ (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))
% 49.96/7.72 = (inverse @ X0))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl11152, zip_derived_cl4704])).
% 49.96/7.72 thf(zip_derived_cl0, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (multiply @ X1 @ X2)))
% 49.96/7.72 = (X0))),
% 49.96/7.72 inference('cnf', [status(esa)], [single_axiom])).
% 49.96/7.72 thf(zip_derived_cl11471, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X3 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (multiply @ X3 @ X2)))
% 49.96/7.72 = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 49.96/7.72 inference('sup+', [status(thm)], [zip_derived_cl11417, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl0, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.96/7.72 ((inverse @
% 49.96/7.72 (multiply @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X1 @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ (inverse @ X0) @
% 49.96/7.72 (inverse @
% 49.96/7.72 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 49.96/7.72 (multiply @ X1 @ X2)))
% 49.96/7.72 = (X0))),
% 49.96/7.72 inference('cnf', [status(esa)], [single_axiom])).
% 49.96/7.72 thf(zip_derived_cl11696, plain,
% 49.96/7.72 (![X0 : $i, X1 : $i]:
% 49.96/7.72 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 49.96/7.72 inference('demod', [status(thm)], [zip_derived_cl11471, zip_derived_cl0])).
% 49.96/7.72 thf(zip_derived_cl11775, plain, (((a2) != (a2))),
% 49.96/7.72 inference('demod', [status(thm)],
% 49.96/7.72 [zip_derived_cl2137, zip_derived_cl11696])).
% 49.96/7.72 thf(zip_derived_cl11776, plain, ($false),
% 49.96/7.72 inference('simplify', [status(thm)], [zip_derived_cl11775])).
% 49.96/7.72
% 49.96/7.72 % SZS output end Refutation
% 49.96/7.72
% 49.96/7.72
% 49.96/7.72 % Terminating...
% 49.96/7.76 % Runner terminated.
% 49.96/7.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------