%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP599-1 : 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.KiMY7B1kTr 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 04:36:45 PM UTC 2025
% Result : Unsatisfiable 31.01s 4.96s
% Output : Refutation 31.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP599-1 : TPTP v9.2.0. Released v2.6.0.
% 0.09/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KiMY7B1kTr true
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 14:23:53 EDT 2025
% 0.15/0.31 % CPUTime :
% 0.15/0.31 % Running portfolio for 300 s
% 0.15/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.43/0.55 % Total configuration time : 435
% 0.43/0.55 % Estimated wc time : 1092
% 0.43/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.64 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 31.01/4.96 % Solved by fo/fo4.sh.
% 31.01/4.96 % done 1195 iterations in 4.265s
% 31.01/4.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.01/4.96 % SZS output start Refutation
% 31.01/4.96 thf(multiply_type, type, multiply: $i > $i > $i).
% 31.01/4.96 thf(b3_type, type, b3: $i).
% 31.01/4.96 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 31.01/4.96 thf(a3_type, type, a3: $i).
% 31.01/4.96 thf(inverse_type, type, inverse: $i > $i).
% 31.01/4.96 thf(c3_type, type, c3: $i).
% 31.01/4.96 thf(prove_these_axioms_3, conjecture,
% 31.01/4.96 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 31.01/4.96 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 31.01/4.96 thf(zf_stmt_0, negated_conjecture,
% 31.01/4.96 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 31.01/4.96 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 31.01/4.96 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 31.01/4.96 thf(zip_derived_cl2, plain,
% 31.01/4.96 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 31.01/4.96 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 31.01/4.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.01/4.96 thf(single_axiom, axiom,
% 31.01/4.96 (( double_divide @
% 31.01/4.96 ( double_divide @ A @ B ) @
% 31.01/4.96 ( inverse @
% 31.01/4.96 ( double_divide @
% 31.01/4.96 A @ ( inverse @ ( double_divide @ ( inverse @ C ) @ B ) ) ) ) ) =
% 31.01/4.96 ( C ))).
% 31.01/4.96 thf(zip_derived_cl0, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ X2) @
% 31.01/4.96 (inverse @
% 31.01/4.96 (double_divide @ X1 @
% 31.01/4.96 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 31.01/4.96 = (X0))),
% 31.01/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 31.01/4.96 thf(multiply, axiom,
% 31.01/4.96 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 31.01/4.96 thf(zip_derived_cl1, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 31.01/4.96 inference('cnf', [status(esa)], [multiply])).
% 31.01/4.96 thf(zip_derived_cl1, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 31.01/4.96 inference('cnf', [status(esa)], [multiply])).
% 31.01/4.96 thf(zip_derived_cl3, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ X2) @
% 31.01/4.96 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl3, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ X2) @
% 31.01/4.96 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl1, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 31.01/4.96 inference('cnf', [status(esa)], [multiply])).
% 31.01/4.96 thf(zip_derived_cl5, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 31.01/4.96 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl10, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.01/4.96 ((multiply @
% 31.01/4.96 (multiply @
% 31.01/4.96 (multiply @ (multiply @ (multiply @ X3 @ (inverse @ X0)) @ X2) @
% 31.01/4.96 (inverse @ X1)) @
% 31.01/4.96 (double_divide @ X2 @ X3)) @
% 31.01/4.96 X0) = (inverse @ X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 31.01/4.96 thf(zip_derived_cl3, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ X2) @
% 31.01/4.96 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl3, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ X2) @
% 31.01/4.96 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl4, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.01/4.96 ((double_divide @ X0 @
% 31.01/4.96 (multiply @
% 31.01/4.96 (multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X3) @
% 31.01/4.96 (inverse @ X1)) @
% 31.01/4.96 (double_divide @ X3 @ X2)))
% 31.01/4.96 = (X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 31.01/4.96 thf(zip_derived_cl179, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.01/4.96 ((double_divide @ X0 @
% 31.01/4.96 (multiply @ (inverse @ X0) @
% 31.01/4.96 (double_divide @ (double_divide @ X2 @ X3) @
% 31.01/4.96 (multiply @ (multiply @ X3 @ (inverse @ (inverse @ X1))) @ X2))))
% 31.01/4.96 = (X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl4])).
% 31.01/4.96 thf(zip_derived_cl3, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ X2) @
% 31.01/4.96 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl202, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ X0 @ (multiply @ (inverse @ X0) @ (inverse @ X1)))
% 31.01/4.96 = (X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl3])).
% 31.01/4.96 thf(zip_derived_cl1, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 31.01/4.96 inference('cnf', [status(esa)], [multiply])).
% 31.01/4.96 thf(zip_derived_cl1, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 31.01/4.96 inference('cnf', [status(esa)], [multiply])).
% 31.01/4.96 thf(zip_derived_cl10, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.01/4.96 ((multiply @
% 31.01/4.96 (multiply @
% 31.01/4.96 (multiply @ (multiply @ (multiply @ X3 @ (inverse @ X0)) @ X2) @
% 31.01/4.96 (inverse @ X1)) @
% 31.01/4.96 (double_divide @ X2 @ X3)) @
% 31.01/4.96 X0) = (inverse @ X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 31.01/4.96 thf(zip_derived_cl10, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.01/4.96 ((multiply @
% 31.01/4.96 (multiply @
% 31.01/4.96 (multiply @ (multiply @ (multiply @ X3 @ (inverse @ X0)) @ X2) @
% 31.01/4.96 (inverse @ X1)) @
% 31.01/4.96 (double_divide @ X2 @ X3)) @
% 31.01/4.96 X0) = (inverse @ X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 31.01/4.96 thf(zip_derived_cl186, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.01/4.96 ((multiply @
% 31.01/4.96 (multiply @ (inverse @ X0) @
% 31.01/4.96 (double_divide @ (double_divide @ X2 @ X3) @
% 31.01/4.96 (multiply @ (multiply @ X3 @ (inverse @ (inverse @ X1))) @ X2))) @
% 31.01/4.96 X0) = (inverse @ X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 31.01/4.96 thf(zip_derived_cl3, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ X2) @
% 31.01/4.96 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl193, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (inverse @ X0) @ (inverse @ X1)) @ X0)
% 31.01/4.96 = (inverse @ X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl3])).
% 31.01/4.96 thf(zip_derived_cl3, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ X2) @
% 31.01/4.96 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl236, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 31.01/4.96 (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl3])).
% 31.01/4.96 thf(zip_derived_cl258, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X2 @ (inverse @ X2)) @
% 31.01/4.96 (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl236])).
% 31.01/4.96 thf(zip_derived_cl202, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ X0 @ (multiply @ (inverse @ X0) @ (inverse @ X1)))
% 31.01/4.96 = (X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl3])).
% 31.01/4.96 thf(zip_derived_cl367, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ (inverse @ X1) @
% 31.01/4.96 (inverse @ (double_divide @ X0 @ (inverse @ X0)))) = (X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl202])).
% 31.01/4.96 thf(zip_derived_cl1, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 31.01/4.96 inference('cnf', [status(esa)], [multiply])).
% 31.01/4.96 thf(zip_derived_cl398, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))
% 31.01/4.96 = (X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl1, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 31.01/4.96 inference('cnf', [status(esa)], [multiply])).
% 31.01/4.96 thf(zip_derived_cl465, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 31.01/4.96 = (inverse @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl5, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 31.01/4.96 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl3, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ X2) @
% 31.01/4.96 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl8, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @
% 31.01/4.96 (double_divide @ (double_divide @ (inverse @ X1) @ X2) @
% 31.01/4.96 (multiply @ X2 @ (inverse @ X0))) @
% 31.01/4.96 (inverse @ X0)) = (X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 31.01/4.96 thf(zip_derived_cl494, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @
% 31.01/4.96 (double_divide @
% 31.01/4.96 (double_divide @ (inverse @ X1) @ (multiply @ (inverse @ X2) @ X2)) @
% 31.01/4.96 (inverse @ X0)) @
% 31.01/4.96 (inverse @ X0)) = (X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl8])).
% 31.01/4.96 thf(zip_derived_cl398, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))
% 31.01/4.96 = (X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl521, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 31.01/4.96 (inverse @ X0)) = (X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl494, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl533, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @
% 31.01/4.96 (double_divide @ X2 @ (inverse @ (double_divide @ X0 @ X1))) @
% 31.01/4.96 (multiply @ X1 @ X0)) = (X2))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl521])).
% 31.01/4.96 thf(zip_derived_cl1, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 31.01/4.96 inference('cnf', [status(esa)], [multiply])).
% 31.01/4.96 thf(zip_derived_cl538, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X2 @ (multiply @ X1 @ X0)) @
% 31.01/4.96 (multiply @ X1 @ X0)) = (X2))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl533, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl1193, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ X0 @ (multiply @ (inverse @ X1) @ (inverse @ X0)))
% 31.01/4.96 = (X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl538])).
% 31.01/4.96 thf(zip_derived_cl398, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))
% 31.01/4.96 = (X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl1269, plain,
% 31.01/4.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl465, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 31.01/4.96 = (inverse @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl1299, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0)
% 31.01/4.96 = (inverse @ (inverse @ X0)))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl465])).
% 31.01/4.96 thf(zip_derived_cl1269, plain,
% 31.01/4.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl1342, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl1299, zip_derived_cl1269])).
% 31.01/4.96 thf(zip_derived_cl3, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X1 @ X2) @
% 31.01/4.96 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl1900, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X0 @ (inverse @ (inverse @ X1))) @
% 31.01/4.96 X0) = (X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1342, zip_derived_cl3])).
% 31.01/4.96 thf(zip_derived_cl1269, plain,
% 31.01/4.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl1937, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl1900, zip_derived_cl1269])).
% 31.01/4.96 thf(zip_derived_cl1269, plain,
% 31.01/4.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl465, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 31.01/4.96 = (inverse @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl5, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 31.01/4.96 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl5, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 31.01/4.96 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl9, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ (inverse @ X0) @
% 31.01/4.96 (double_divide @ (double_divide @ (inverse @ X1) @ X2) @
% 31.01/4.96 (multiply @ X2 @ (inverse @ X0))))
% 31.01/4.96 = (inverse @ X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl5])).
% 31.01/4.96 thf(zip_derived_cl495, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ (inverse @ X0) @
% 31.01/4.96 (double_divide @
% 31.01/4.96 (double_divide @ (inverse @ X1) @ (multiply @ (inverse @ X2) @ X2)) @
% 31.01/4.96 (inverse @ X0)))
% 31.01/4.96 = (inverse @ X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl9])).
% 31.01/4.96 thf(zip_derived_cl398, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((double_divide @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))
% 31.01/4.96 = (X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl522, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (inverse @ X0) @ (double_divide @ X1 @ (inverse @ X0)))
% 31.01/4.96 = (inverse @ X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl495, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl1302, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (inverse @ (inverse @ X0)) @ (double_divide @ X1 @ X0))
% 31.01/4.96 = (inverse @ X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl522])).
% 31.01/4.96 thf(zip_derived_cl1269, plain,
% 31.01/4.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl1345, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X0 @ (double_divide @ X1 @ X0)) = (inverse @ X1))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl1302, zip_derived_cl1269])).
% 31.01/4.96 thf(zip_derived_cl2111, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X1 @ X0)))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1937, zip_derived_cl1345])).
% 31.01/4.96 thf(zip_derived_cl1, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 31.01/4.96 inference('cnf', [status(esa)], [multiply])).
% 31.01/4.96 thf(zip_derived_cl2815, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl2111, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl2815, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl2111, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl2962, plain,
% 31.01/4.96 (((multiply @ c3 @ (multiply @ b3 @ a3))
% 31.01/4.96 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl2, zip_derived_cl2815, zip_derived_cl2815])).
% 31.01/4.96 thf(zip_derived_cl1269, plain,
% 31.01/4.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl5, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 31.01/4.96 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl1286, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 31.01/4.96 (double_divide @ X2 @ X1)) = (inverse @ (inverse @ X0)))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl5])).
% 31.01/4.96 thf(zip_derived_cl1269, plain,
% 31.01/4.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl1334, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 31.01/4.96 (double_divide @ X2 @ X1)) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl1286, zip_derived_cl1269])).
% 31.01/4.96 thf(zip_derived_cl2815, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl2111, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl1269, plain,
% 31.01/4.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl1269, plain,
% 31.01/4.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl193, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (inverse @ X0) @ (inverse @ X1)) @ X0)
% 31.01/4.96 = (inverse @ X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl3])).
% 31.01/4.96 thf(zip_derived_cl1313, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (inverse @ X1) @ X0) @ X1)
% 31.01/4.96 = (inverse @ (inverse @ X0)))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl193])).
% 31.01/4.96 thf(zip_derived_cl1269, plain,
% 31.01/4.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl398])).
% 31.01/4.96 thf(zip_derived_cl1349, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ (inverse @ X1) @ X0) @ X1) = (X0))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl1313, zip_derived_cl1269])).
% 31.01/4.96 thf(zip_derived_cl1997, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl1349])).
% 31.01/4.96 thf(zip_derived_cl2981, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl2815, zip_derived_cl1997])).
% 31.01/4.96 thf(zip_derived_cl11552, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ X0 @ (inverse @ (double_divide @ X1 @ X2)))
% 31.01/4.96 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl1334, zip_derived_cl2981])).
% 31.01/4.96 thf(zip_derived_cl1, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]:
% 31.01/4.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 31.01/4.96 inference('cnf', [status(esa)], [multiply])).
% 31.01/4.96 thf(zip_derived_cl11762, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 31.01/4.96 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 31.01/4.96 inference('demod', [status(thm)], [zip_derived_cl11552, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl2815, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 31.01/4.96 inference('sup+', [status(thm)], [zip_derived_cl2111, zip_derived_cl1])).
% 31.01/4.96 thf(zip_derived_cl11801, plain,
% 31.01/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.01/4.96 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 31.01/4.96 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 31.01/4.96 inference('sup+', [status(thm)],
% 31.01/4.96 [zip_derived_cl11762, zip_derived_cl2815])).
% 31.01/4.96 thf(zip_derived_cl12332, plain,
% 31.01/4.96 (((multiply @ c3 @ (multiply @ b3 @ a3))
% 31.01/4.96 != (multiply @ c3 @ (multiply @ b3 @ a3)))),
% 31.01/4.96 inference('demod', [status(thm)],
% 31.01/4.96 [zip_derived_cl2962, zip_derived_cl11801])).
% 31.01/4.96 thf(zip_derived_cl12333, plain, ($false),
% 31.01/4.96 inference('simplify', [status(thm)], [zip_derived_cl12332])).
% 31.01/4.96
% 31.01/4.96 % SZS output end Refutation
% 31.01/4.96
% 31.01/4.96
% 31.01/4.96 % Terminating...
% 31.50/5.08 % Runner terminated.
% 31.50/5.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------