%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP408-1 : 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.MNdKA8nBWb true
% Computer : n021.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 04:36:23 PM UTC 2025
% Result : Unsatisfiable 28.99s 10.48s
% Output : Refutation 29.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/1.17 % Problem : GRP408-1 : TPTP v9.2.0. Released v2.6.0.
% 0.13/1.28 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MNdKA8nBWb true
% 0.15/1.67 % Computer : n021.cluster.edu
% 0.15/1.67 % Model : x86_64 x86_64
% 0.15/1.67 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/1.67 % Memory : 8042.1875MB
% 0.15/1.67 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/1.67 % CPULimit : 300
% 0.15/1.67 % WCLimit : 300
% 0.15/1.67 % DateTime : Wed Oct 1 14:24:54 EDT 2025
% 0.15/1.69 % CPUTime :
% 0.15/1.69 % Running portfolio for 300 s
% 0.15/1.69 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/1.69 % Number of cores: 8
% 0.18/1.71 % Python version: Python 3.6.8
% 0.18/1.74 % Running in FO mode
% 0.44/2.20 % Total configuration time : 435
% 0.44/2.20 % Estimated wc time : 1092
% 0.44/2.20 % Estimated cpu time (7 cpus) : 156.0
% 0.46/2.45 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/2.55 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/2.59 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/2.60 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/2.62 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/2.63 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/2.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 28.99/10.48 % Solved by fo/fo7.sh.
% 28.99/10.48 % done 273 iterations in 7.730s
% 28.99/10.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 28.99/10.48 % SZS output start Refutation
% 28.99/10.48 thf(inverse_type, type, inverse: $i > $i).
% 28.99/10.48 thf(b3_type, type, b3: $i).
% 28.99/10.48 thf(c3_type, type, c3: $i).
% 28.99/10.48 thf(multiply_type, type, multiply: $i > $i > $i).
% 28.99/10.48 thf(a3_type, type, a3: $i).
% 28.99/10.48 thf(prove_these_axioms_3, conjecture,
% 28.99/10.48 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 28.99/10.48 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 28.99/10.48 thf(zf_stmt_0, negated_conjecture,
% 28.99/10.48 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 28.99/10.48 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 28.99/10.48 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 28.99/10.48 thf(zip_derived_cl1, plain,
% 28.99/10.48 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 28.99/10.48 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 28.99/10.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 28.99/10.48 thf(single_axiom, axiom,
% 28.99/10.48 (( multiply @
% 28.99/10.48 A @
% 28.99/10.48 ( inverse @
% 28.99/10.48 ( multiply @
% 28.99/10.48 ( inverse @ ( multiply @ ( inverse @ ( multiply @ A @ B ) ) @ C ) ) @
% 28.99/10.48 ( multiply @ ( inverse @ B ) @ ( multiply @ ( inverse @ B ) @ B ) ) ) ) ) =
% 28.99/10.48 ( C ))).
% 28.99/10.48 thf(zip_derived_cl0, plain,
% 28.99/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.99/10.48 ((multiply @ X1 @
% 28.99/10.48 (inverse @
% 28.99/10.48 (multiply @
% 28.99/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 28.99/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 28.99/10.48 = (X0))),
% 28.99/10.48 inference('cnf', [status(esa)], [single_axiom])).
% 28.99/10.48 thf(zip_derived_cl0, plain,
% 28.99/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.99/10.48 ((multiply @ X1 @
% 28.99/10.48 (inverse @
% 28.99/10.48 (multiply @
% 28.99/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 28.99/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 28.99/10.48 = (X0))),
% 28.99/10.48 inference('cnf', [status(esa)], [single_axiom])).
% 28.99/10.48 thf(zip_derived_cl3, plain,
% 28.99/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.99/10.48 ((multiply @ X3 @
% 28.99/10.48 (inverse @
% 28.99/10.48 (multiply @ (inverse @ X0) @
% 28.99/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 29.23/10.48 X0)) @
% 29.23/10.48 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl0, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ X1 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 29.23/10.48 = (X0))),
% 29.23/10.48 inference('cnf', [status(esa)], [single_axiom])).
% 29.23/10.48 thf(zip_derived_cl15, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 29.23/10.48 = (X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl0, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ X1 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 29.23/10.48 = (X0))),
% 29.23/10.48 inference('cnf', [status(esa)], [single_axiom])).
% 29.23/10.48 thf(zip_derived_cl3, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ X3 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X0) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 29.23/10.48 X0)) @
% 29.23/10.48 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl15, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 29.23/10.48 = (X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl39, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 29.23/10.48 (multiply @ X4 @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))))
% 29.23/10.48 = (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X3)) @
% 29.23/10.48 X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 29.23/10.48 thf(zip_derived_cl87, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 29.23/10.48 = (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 29.23/10.48 thf(zip_derived_cl87, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 29.23/10.48 = (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 29.23/10.48 thf(zip_derived_cl164, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 29.23/10.48 (multiply @ X1 @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl87])).
% 29.23/10.48 thf(zip_derived_cl320, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X1))
% 29.23/10.48 = (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (multiply @ X4 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X0) @
% 29.23/10.48 (multiply @ (inverse @ X3) @
% 29.23/10.48 (multiply @ (inverse @ X3) @ X3))))))) @
% 29.23/10.48 (multiply @ X2 @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl164])).
% 29.23/10.48 thf(zip_derived_cl164, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 29.23/10.48 (multiply @ X1 @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl87])).
% 29.23/10.48 thf(zip_derived_cl320, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X1))
% 29.23/10.48 = (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (multiply @ X4 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X0) @
% 29.23/10.48 (multiply @ (inverse @ X3) @
% 29.23/10.48 (multiply @ (inverse @ X3) @ X3))))))) @
% 29.23/10.48 (multiply @ X2 @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl164])).
% 29.23/10.48 thf(zip_derived_cl164, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 29.23/10.48 (multiply @ X1 @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl87])).
% 29.23/10.48 thf(zip_derived_cl0, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ X1 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 29.23/10.48 = (X0))),
% 29.23/10.48 inference('cnf', [status(esa)], [single_axiom])).
% 29.23/10.48 thf(zip_derived_cl273, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ X3 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 29.23/10.48 (multiply @ X1 @ X0))) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 29.23/10.48 = (multiply @ X3 @ X0))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl0, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ X1 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 29.23/10.48 = (X0))),
% 29.23/10.48 inference('cnf', [status(esa)], [single_axiom])).
% 29.23/10.48 thf(zip_derived_cl423, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 29.23/10.48 (multiply @ X4 @ X0))) @
% 29.23/10.48 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl273, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl0, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ X1 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 29.23/10.48 = (X0))),
% 29.23/10.48 inference('cnf', [status(esa)], [single_axiom])).
% 29.23/10.48 thf(zip_derived_cl39, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 29.23/10.48 (multiply @ X4 @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))))
% 29.23/10.48 = (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X3)) @
% 29.23/10.48 X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 29.23/10.48 thf(zip_derived_cl164, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 29.23/10.48 (multiply @ X1 @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl87])).
% 29.23/10.48 thf(zip_derived_cl499, plain,
% 29.23/10.48 (![X0 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((X0)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X4 @ (multiply @ X4 @ X0))) @
% 29.23/10.48 (multiply @ X4 @
% 29.23/10.48 (multiply @ X4 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))) @
% 29.23/10.48 (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3)))))))))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl423, zip_derived_cl0, zip_derived_cl39,
% 29.23/10.48 zip_derived_cl164])).
% 29.23/10.48 thf(zip_derived_cl868, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((X3)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ (multiply @ X2 @ X3))) @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ X0))))) @
% 29.23/10.48 X0)) @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ X0))))) @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ X0)))))))))))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl499])).
% 29.23/10.48 thf(zip_derived_cl15, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 29.23/10.48 = (X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl903, plain,
% 29.23/10.48 (![X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((X3)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ (multiply @ X2 @ X3))) @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 29.23/10.48 inference('demod', [status(thm)], [zip_derived_cl868, zip_derived_cl15])).
% 29.23/10.48 thf(zip_derived_cl985, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((X3)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ (multiply @ X1 @ X3))) @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl903])).
% 29.23/10.48 thf(zip_derived_cl1087, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((inverse @
% 29.23/10.48 (multiply @ (inverse @ X3) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2))))
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ X3) @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 29.23/10.48 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl985])).
% 29.23/10.48 thf(zip_derived_cl0, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ X1 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 29.23/10.48 = (X0))),
% 29.23/10.48 inference('cnf', [status(esa)], [single_axiom])).
% 29.23/10.48 thf(zip_derived_cl1925, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))) @
% 29.23/10.48 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 29.23/10.48 (multiply @ X4 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl1087, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl0, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ X1 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 29.23/10.48 = (X0))),
% 29.23/10.48 inference('cnf', [status(esa)], [single_axiom])).
% 29.23/10.48 thf(zip_derived_cl2059, plain,
% 29.23/10.48 (![X0 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 29.23/10.48 (multiply @ X4 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))),
% 29.23/10.48 inference('demod', [status(thm)], [zip_derived_cl1925, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl39, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 29.23/10.48 (multiply @ X4 @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))))
% 29.23/10.48 = (multiply @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X3)) @
% 29.23/10.48 X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 29.23/10.48 thf(zip_derived_cl985, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((X3)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ (multiply @ X1 @ X3))) @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl903])).
% 29.23/10.48 thf(zip_derived_cl1082, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((X1)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 29.23/10.48 (multiply @ X2 @ X1))) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl985])).
% 29.23/10.48 thf(zip_derived_cl2127, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((inverse @ (multiply @ (inverse @ X1) @ X1))
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2059, zip_derived_cl1082])).
% 29.23/10.48 thf(zip_derived_cl2127, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((inverse @ (multiply @ (inverse @ X1) @ X1))
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2059, zip_derived_cl1082])).
% 29.23/10.48 thf(zip_derived_cl2415, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((inverse @ (multiply @ (inverse @ X1) @ X1))
% 29.23/10.48 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2127, zip_derived_cl2127])).
% 29.23/10.48 thf(zip_derived_cl164, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 29.23/10.48 (multiply @ X1 @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl87])).
% 29.23/10.48 thf(zip_derived_cl2670, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X1))
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2415, zip_derived_cl164])).
% 29.23/10.48 thf(zip_derived_cl1082, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((X1)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 29.23/10.48 (multiply @ X2 @ X1))) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl985])).
% 29.23/10.48 thf(zip_derived_cl2901, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((X0)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 29.23/10.48 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2670, zip_derived_cl1082])).
% 29.23/10.48 thf(zip_derived_cl15, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 29.23/10.48 = (X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl3158, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X1 @ X0)) @ (multiply @ X1 @ X0))
% 29.23/10.48 = (multiply @ (inverse @ X0) @ X0))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2901, zip_derived_cl15])).
% 29.23/10.48 thf(zip_derived_cl2670, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X1))
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2415, zip_derived_cl164])).
% 29.23/10.48 thf(zip_derived_cl3378, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3158, zip_derived_cl2670])).
% 29.23/10.48 thf(zip_derived_cl2901, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((X0)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 29.23/10.48 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2670, zip_derived_cl1082])).
% 29.23/10.48 thf(zip_derived_cl3673, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ X0))))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3378, zip_derived_cl2901])).
% 29.23/10.48 thf(zip_derived_cl3378, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3158, zip_derived_cl2670])).
% 29.23/10.48 thf(zip_derived_cl3378, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3158, zip_derived_cl2670])).
% 29.23/10.48 thf(zip_derived_cl3378, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3158, zip_derived_cl2670])).
% 29.23/10.48 thf(zip_derived_cl3830, plain,
% 29.23/10.48 (![X0 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl3673, zip_derived_cl3378, zip_derived_cl3378,
% 29.23/10.48 zip_derived_cl3378])).
% 29.23/10.48 thf(zip_derived_cl2415, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((inverse @ (multiply @ (inverse @ X1) @ X1))
% 29.23/10.48 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2127, zip_derived_cl2127])).
% 29.23/10.48 thf(zip_derived_cl3920, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3830, zip_derived_cl2415])).
% 29.23/10.48 thf(zip_derived_cl3920, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3830, zip_derived_cl2415])).
% 29.23/10.48 thf(zip_derived_cl4045, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3920, zip_derived_cl3920])).
% 29.23/10.48 thf(zip_derived_cl1082, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((X1)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 29.23/10.48 (multiply @ X2 @ X1))) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl985])).
% 29.23/10.48 thf(zip_derived_cl164, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 29.23/10.48 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 29.23/10.48 (multiply @ X1 @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl87])).
% 29.23/10.48 thf(zip_derived_cl15, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 29.23/10.48 = (X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl278, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @
% 29.23/10.48 (multiply @ X3 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 29.23/10.48 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0))))))
% 29.23/10.48 = (multiply @ (inverse @ X0) @ X2))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl15])).
% 29.23/10.48 thf(zip_derived_cl3920, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3830, zip_derived_cl2415])).
% 29.23/10.48 thf(zip_derived_cl2901, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((X0)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 29.23/10.48 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2670, zip_derived_cl1082])).
% 29.23/10.48 thf(zip_derived_cl4101, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((X1)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 29.23/10.48 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3920, zip_derived_cl2901])).
% 29.23/10.48 thf(zip_derived_cl3920, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3830, zip_derived_cl2415])).
% 29.23/10.48 thf(zip_derived_cl4228, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((X1)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 29.23/10.48 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X0)))))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl4101, zip_derived_cl3920])).
% 29.23/10.48 thf(zip_derived_cl4815, plain,
% 29.23/10.48 (![X0 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X2))
% 29.23/10.48 = (multiply @ (inverse @ X0) @ X2))),
% 29.23/10.48 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl4228])).
% 29.23/10.48 thf(zip_derived_cl4815, plain,
% 29.23/10.48 (![X0 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X2))
% 29.23/10.48 = (multiply @ (inverse @ X0) @ X2))),
% 29.23/10.48 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl4228])).
% 29.23/10.48 thf(zip_derived_cl4986, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((X1)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl1082, zip_derived_cl4815, zip_derived_cl4815])).
% 29.23/10.48 thf(zip_derived_cl15, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 29.23/10.48 (multiply @ X2 @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 29.23/10.48 = (X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 29.23/10.48 thf(zip_derived_cl5096, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ X0 @
% 29.23/10.48 (multiply @ (inverse @ X0) @
% 29.23/10.48 (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 29.23/10.48 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 29.23/10.48 (multiply @ (inverse @ X2) @ X2)))))))
% 29.23/10.48 = (X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl4986, zip_derived_cl15])).
% 29.23/10.48 thf(zip_derived_cl3920, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3830, zip_derived_cl2415])).
% 29.23/10.48 thf(zip_derived_cl3158, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X1 @ X0)) @ (multiply @ X1 @ X0))
% 29.23/10.48 = (multiply @ (inverse @ X0) @ X0))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl2901, zip_derived_cl15])).
% 29.23/10.48 thf(zip_derived_cl4081, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 29.23/10.48 (inverse @ (multiply @ (inverse @ X0) @ X0)))
% 29.23/10.48 = (multiply @ (inverse @ X1) @ X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3920, zip_derived_cl3158])).
% 29.23/10.48 thf(zip_derived_cl3920, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ X0) @ X0)
% 29.23/10.48 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl3830, zip_derived_cl2415])).
% 29.23/10.48 thf(zip_derived_cl4208, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ X0)) = (multiply @ (inverse @ X1) @ X1))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl4081, zip_derived_cl3920])).
% 29.23/10.48 thf(zip_derived_cl4208, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 29.23/10.48 (multiply @ (inverse @ X0) @ X0)) = (multiply @ (inverse @ X1) @ X1))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl4081, zip_derived_cl3920])).
% 29.23/10.48 thf(zip_derived_cl4986, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((X1)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl1082, zip_derived_cl4815, zip_derived_cl4815])).
% 29.23/10.48 thf(zip_derived_cl5157, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl5096, zip_derived_cl4208, zip_derived_cl4208,
% 29.23/10.48 zip_derived_cl4986])).
% 29.23/10.48 thf(zip_derived_cl5236, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl4045, zip_derived_cl5157])).
% 29.23/10.48 thf(zip_derived_cl4815, plain,
% 29.23/10.48 (![X0 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X2))
% 29.23/10.48 = (multiply @ (inverse @ X0) @ X2))),
% 29.23/10.48 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl4228])).
% 29.23/10.48 thf(zip_derived_cl5307, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0)
% 29.23/10.48 = (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X1)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl5236, zip_derived_cl4815])).
% 29.23/10.48 thf(zip_derived_cl5236, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl4045, zip_derived_cl5157])).
% 29.23/10.48 thf(zip_derived_cl5335, plain,
% 29.23/10.48 (![X0 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0) = (inverse @ X2))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl5307, zip_derived_cl5236])).
% 29.23/10.48 thf(zip_derived_cl5335, plain,
% 29.23/10.48 (![X0 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0) = (inverse @ X2))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl5307, zip_derived_cl5236])).
% 29.23/10.48 thf(zip_derived_cl5527, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (inverse @ X0)) @
% 29.23/10.48 (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl5335, zip_derived_cl5335])).
% 29.23/10.48 thf(zip_derived_cl5157, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl5096, zip_derived_cl4208, zip_derived_cl4208,
% 29.23/10.48 zip_derived_cl4986])).
% 29.23/10.48 thf(zip_derived_cl4986, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((X1)
% 29.23/10.48 = (inverse @
% 29.23/10.48 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl1082, zip_derived_cl4815, zip_derived_cl4815])).
% 29.23/10.48 thf(zip_derived_cl5231, plain,
% 29.23/10.48 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl5157, zip_derived_cl4986])).
% 29.23/10.48 thf(zip_derived_cl5539, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i]:
% 29.23/10.48 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl5527, zip_derived_cl5231])).
% 29.23/10.48 thf(zip_derived_cl4815, plain,
% 29.23/10.48 (![X0 : $i, X2 : $i, X3 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X2))
% 29.23/10.48 = (multiply @ (inverse @ X0) @ X2))),
% 29.23/10.48 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl4228])).
% 29.23/10.48 thf(zip_derived_cl5615, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ (inverse @ (inverse @ X0)) @ (multiply @ X2 @ X1))
% 29.23/10.48 = (multiply @ (inverse @ (inverse @ (multiply @ X0 @ X2))) @ X1))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl5539, zip_derived_cl4815])).
% 29.23/10.48 thf(zip_derived_cl5231, plain,
% 29.23/10.48 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl5157, zip_derived_cl4986])).
% 29.23/10.48 thf(zip_derived_cl5231, plain,
% 29.23/10.48 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 29.23/10.48 inference('sup+', [status(thm)], [zip_derived_cl5157, zip_derived_cl4986])).
% 29.23/10.48 thf(zip_derived_cl5654, plain,
% 29.23/10.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.23/10.48 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 29.23/10.48 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 29.23/10.48 inference('demod', [status(thm)],
% 29.23/10.48 [zip_derived_cl5615, zip_derived_cl5231, zip_derived_cl5231])).
% 29.23/10.48 thf(zip_derived_cl5660, plain,
% 29.23/10.48 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 29.23/10.48 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 29.23/10.48 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl5654])).
% 29.23/10.48 thf(zip_derived_cl5661, plain, ($false),
% 29.23/10.48 inference('simplify', [status(thm)], [zip_derived_cl5660])).
% 29.23/10.48
% 29.23/10.48 % SZS output end Refutation
% 29.23/10.48
% 29.23/10.48
% 29.23/10.48 % Terminating...
% 29.54/10.65 % Runner terminated.
% 29.54/10.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------