%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP453-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W5eMqZ2FsU true
% Computer : n004.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 04:36:28 PM UTC 2025
% Result : Unsatisfiable 5.99s 1.44s
% Output : Refutation 5.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP453-1 : TPTP v9.2.0. Released v2.6.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W5eMqZ2FsU true
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 14:07:38 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.58/0.67 % Total configuration time : 435
% 0.58/0.67 % Estimated wc time : 1092
% 0.58/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.99/1.44 % Solved by fo/fo4.sh.
% 5.99/1.44 % done 862 iterations in 0.608s
% 5.99/1.44 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.99/1.44 % SZS output start Refutation
% 5.99/1.44 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.99/1.44 thf(c3_type, type, c3: $i).
% 5.99/1.44 thf(b3_type, type, b3: $i).
% 5.99/1.44 thf(a3_type, type, a3: $i).
% 5.99/1.44 thf(divide_type, type, divide: $i > $i > $i).
% 5.99/1.44 thf(inverse_type, type, inverse: $i > $i).
% 5.99/1.44 thf(prove_these_axioms_3, conjecture,
% 5.99/1.44 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 5.99/1.44 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 5.99/1.44 thf(zf_stmt_0, negated_conjecture,
% 5.99/1.44 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 5.99/1.44 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 5.99/1.44 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 5.99/1.44 thf(zip_derived_cl3, plain,
% 5.99/1.44 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 5.99/1.44 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.99/1.44 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.99/1.44 thf(inverse, axiom, (( inverse @ A ) = ( divide @ ( divide @ B @ B ) @ A ))).
% 5.99/1.44 thf(zip_derived_cl2, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.99/1.44 inference('cnf', [status(esa)], [inverse])).
% 5.99/1.44 thf(zip_derived_cl2, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.99/1.44 inference('cnf', [status(esa)], [inverse])).
% 5.99/1.44 thf(zip_derived_cl4, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl2, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.99/1.44 inference('cnf', [status(esa)], [inverse])).
% 5.99/1.44 thf(zip_derived_cl20, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1)
% 5.99/1.44 = (divide @ (inverse @ (inverse @ (divide @ X0 @ X0))) @ X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl4, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 5.99/1.44 thf(single_axiom, axiom,
% 5.99/1.44 (( divide @
% 5.99/1.44 ( divide @
% 5.99/1.44 ( divide @ A @ A ) @
% 5.99/1.44 ( divide @
% 5.99/1.44 A @
% 5.99/1.44 ( divide @ B @ ( divide @ ( divide @ ( divide @ A @ A ) @ A ) @ C ) ) ) ) @
% 5.99/1.44 C ) =
% 5.99/1.44 ( B ))).
% 5.99/1.44 thf(zip_derived_cl0, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (divide @ (divide @ X1 @ X1) @
% 5.99/1.44 (divide @ X1 @
% 5.99/1.44 (divide @ X0 @ (divide @ (divide @ (divide @ X1 @ X1) @ X1) @ X2)))) @
% 5.99/1.44 X2) = (X0))),
% 5.99/1.44 inference('cnf', [status(esa)], [single_axiom])).
% 5.99/1.44 thf(zip_derived_cl2, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.99/1.44 inference('cnf', [status(esa)], [inverse])).
% 5.99/1.44 thf(zip_derived_cl2, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.99/1.44 inference('cnf', [status(esa)], [inverse])).
% 5.99/1.44 thf(zip_derived_cl9, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @
% 5.99/1.44 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.99/1.44 X2) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl24, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @
% 5.99/1.44 (divide @ (divide @ X2 @ X2) @ (divide @ X1 @ (inverse @ X0)))) @
% 5.99/1.44 X0) = (X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl9])).
% 5.99/1.44 thf(multiply, axiom,
% 5.99/1.44 (( multiply @ A @ B ) =
% 5.99/1.44 ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ))).
% 5.99/1.44 thf(zip_derived_cl1, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2)
% 5.99/1.44 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 5.99/1.44 inference('cnf', [status(esa)], [multiply])).
% 5.99/1.44 thf(zip_derived_cl2, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.99/1.44 inference('cnf', [status(esa)], [inverse])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl2, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.99/1.44 inference('cnf', [status(esa)], [inverse])).
% 5.99/1.44 thf(zip_derived_cl30, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ (inverse @ (inverse @ (multiply @ X1 @ X0))) @ X0) = (X1))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl24, zip_derived_cl6, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl99, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((multiply @
% 5.99/1.44 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X1)))) @ X1)
% 5.99/1.44 = (X0))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl6])).
% 5.99/1.44 thf(zip_derived_cl99, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((multiply @
% 5.99/1.44 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X1)))) @ X1)
% 5.99/1.44 = (X0))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl6])).
% 5.99/1.44 thf(zip_derived_cl30, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ (inverse @ (inverse @ (multiply @ X1 @ X0))) @ X0) = (X1))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl24, zip_derived_cl6, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl111, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ (inverse @ (inverse @ X0)) @ X1)
% 5.99/1.44 = (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X1)))))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl30])).
% 5.99/1.44 thf(zip_derived_cl209, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((multiply @ (divide @ (inverse @ (inverse @ X0)) @ X1) @ X1) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl111])).
% 5.99/1.44 thf(zip_derived_cl343, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((multiply @ (inverse @ X0) @ X0) = (divide @ X1 @ X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl209])).
% 5.99/1.44 thf(zip_derived_cl343, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((multiply @ (inverse @ X0) @ X0) = (divide @ X1 @ X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl209])).
% 5.99/1.44 thf(zip_derived_cl407, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl343, zip_derived_cl343])).
% 5.99/1.44 thf(zip_derived_cl9, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @
% 5.99/1.44 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.99/1.44 X2) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl9, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @
% 5.99/1.44 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.99/1.44 X2) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl10, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.99/1.44 ((divide @ (inverse @ (divide @ X2 @ X0)) @ X1)
% 5.99/1.44 = (inverse @
% 5.99/1.44 (divide @ X3 @
% 5.99/1.44 (divide @ X0 @
% 5.99/1.44 (divide @ (inverse @ X3) @ (divide @ (inverse @ X2) @ X1))))))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl9])).
% 5.99/1.44 thf(zip_derived_cl432, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @
% 5.99/1.44 (divide @ X2 @
% 5.99/1.44 (divide @ (inverse @ X3) @ (divide @ (inverse @ X2) @ X1)))) @
% 5.99/1.44 X1) = (inverse @ (divide @ X3 @ (divide @ X0 @ X0))))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl10])).
% 5.99/1.44 thf(zip_derived_cl9, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @
% 5.99/1.44 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.99/1.44 X2) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl473, plain,
% 5.99/1.44 (![X0 : $i, X3 : $i]:
% 5.99/1.44 ((inverse @ X3) = (inverse @ (divide @ X3 @ (divide @ X0 @ X0))))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl432, zip_derived_cl9])).
% 5.99/1.44 thf(zip_derived_cl209, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((multiply @ (divide @ (inverse @ (inverse @ X0)) @ X1) @ X1) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl111])).
% 5.99/1.44 thf(zip_derived_cl675, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ (divide @ (inverse @ (inverse @ X0)) @ X2) @ X2)
% 5.99/1.44 = (divide @ X0 @ (divide @ X1 @ X1)))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl473, zip_derived_cl209])).
% 5.99/1.44 thf(zip_derived_cl209, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((multiply @ (divide @ (inverse @ (inverse @ X0)) @ X1) @ X1) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl111])).
% 5.99/1.44 thf(zip_derived_cl728, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]: ((X0) = (divide @ X0 @ (divide @ X1 @ X1)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl675, zip_derived_cl209])).
% 5.99/1.44 thf(zip_derived_cl9, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @
% 5.99/1.44 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.99/1.44 X2) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl757, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @ (divide @ X0 @ (divide @ X1 @ (inverse @ X0)))) @
% 5.99/1.44 (divide @ X2 @ X2)) = (X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl9])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl728, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]: ((X0) = (divide @ X0 @ (divide @ X1 @ X1)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl675, zip_derived_cl209])).
% 5.99/1.44 thf(zip_derived_cl788, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ (divide @ X0 @ (multiply @ X1 @ X0))) = (X1))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl757, zip_derived_cl6, zip_derived_cl728])).
% 5.99/1.44 thf(zip_derived_cl343, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((multiply @ (inverse @ X0) @ X0) = (divide @ X1 @ X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl209])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl9, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @
% 5.99/1.44 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.99/1.44 X2) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl16, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @
% 5.99/1.44 (divide @ X1 @ (divide @ X2 @ (multiply @ (inverse @ X1) @ X0)))) @
% 5.99/1.44 (inverse @ X0)) = (X2))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl9])).
% 5.99/1.44 thf(zip_derived_cl824, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @
% 5.99/1.44 (inverse @ (divide @ X2 @ (divide @ X1 @ (divide @ X0 @ X0)))) @
% 5.99/1.44 (inverse @ X2)) = (X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl343, zip_derived_cl16])).
% 5.99/1.44 thf(zip_derived_cl728, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]: ((X0) = (divide @ X0 @ (divide @ X1 @ X1)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl675, zip_derived_cl209])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl849, plain,
% 5.99/1.44 (![X1 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ (inverse @ (divide @ X2 @ X1)) @ X2) = (X1))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl824, zip_derived_cl728, zip_derived_cl6])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl4, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl25, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ (inverse @ X0))
% 5.99/1.44 = (multiply @ (inverse @ (divide @ X1 @ X1)) @ X0))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 5.99/1.44 thf(zip_derived_cl955, plain,
% 5.99/1.44 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl25])).
% 5.99/1.44 thf(zip_derived_cl1008, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X0) = (divide @ X1 @ (multiply @ X0 @ X1)))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl788, zip_derived_cl955])).
% 5.99/1.44 thf(zip_derived_cl111, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ (inverse @ (inverse @ X0)) @ X1)
% 5.99/1.44 = (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X1)))))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl30])).
% 5.99/1.44 thf(zip_derived_cl955, plain,
% 5.99/1.44 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl25])).
% 5.99/1.44 thf(zip_derived_cl955, plain,
% 5.99/1.44 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl25])).
% 5.99/1.44 thf(zip_derived_cl987, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ X0 @ X1) = (multiply @ X0 @ (inverse @ X1)))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl111, zip_derived_cl955, zip_derived_cl955])).
% 5.99/1.44 thf(zip_derived_cl2, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.99/1.44 inference('cnf', [status(esa)], [inverse])).
% 5.99/1.44 thf(zip_derived_cl10, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.99/1.44 ((divide @ (inverse @ (divide @ X2 @ X0)) @ X1)
% 5.99/1.44 = (inverse @
% 5.99/1.44 (divide @ X3 @
% 5.99/1.44 (divide @ X0 @
% 5.99/1.44 (divide @ (inverse @ X3) @ (divide @ (inverse @ X2) @ X1))))))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl9])).
% 5.99/1.44 thf(zip_derived_cl73, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.99/1.44 ((divide @ (inverse @ (divide @ X1 @ X3)) @ X0)
% 5.99/1.44 = (inverse @
% 5.99/1.44 (inverse @
% 5.99/1.44 (divide @ X3 @
% 5.99/1.44 (divide @ (inverse @ (divide @ X2 @ X2)) @
% 5.99/1.44 (divide @ (inverse @ X1) @ X0))))))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 5.99/1.44 thf(zip_derived_cl4, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl89, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.99/1.44 ((divide @ (inverse @ (divide @ X1 @ X3)) @ X0)
% 5.99/1.44 = (inverse @
% 5.99/1.44 (inverse @ (multiply @ X3 @ (divide @ (inverse @ X1) @ X0)))))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl73, zip_derived_cl4, zip_derived_cl6])).
% 5.99/1.44 thf(zip_derived_cl849, plain,
% 5.99/1.44 (![X1 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ (inverse @ (divide @ X2 @ X1)) @ X2) = (X1))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl824, zip_derived_cl728, zip_derived_cl6])).
% 5.99/1.44 thf(zip_derived_cl30, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ (inverse @ (inverse @ (multiply @ X1 @ X0))) @ X0) = (X1))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl24, zip_derived_cl6, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl955, plain,
% 5.99/1.44 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl25])).
% 5.99/1.44 thf(zip_derived_cl985, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl955])).
% 5.99/1.44 thf(zip_derived_cl1041, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ X0 @ X1) = (inverse @ (divide @ X1 @ X0)))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl985])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl1041, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ X0 @ X1) = (inverse @ (divide @ X1 @ X0)))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl985])).
% 5.99/1.44 thf(zip_derived_cl1153, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ (inverse @ X0) @ X1) = (inverse @ (multiply @ X1 @ X0)))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1041])).
% 5.99/1.44 thf(zip_derived_cl1041, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ X0 @ X1) = (inverse @ (divide @ X1 @ X0)))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl985])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl1041, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((divide @ X0 @ X1) = (inverse @ (divide @ X1 @ X0)))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl985])).
% 5.99/1.44 thf(zip_derived_cl1806, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.99/1.44 ((divide @ (divide @ X3 @ X1) @ X0)
% 5.99/1.44 = (divide @ X3 @ (multiply @ X0 @ X1)))),
% 5.99/1.44 inference('demod', [status(thm)],
% 5.99/1.44 [zip_derived_cl89, zip_derived_cl1041, zip_derived_cl1153,
% 5.99/1.44 zip_derived_cl1041, zip_derived_cl6, zip_derived_cl1041])).
% 5.99/1.44 thf(zip_derived_cl1830, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @ (divide @ X2 @ (inverse @ X0)) @ X1)
% 5.99/1.44 = (divide @ X2 @ (divide @ X1 @ X0)))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl987, zip_derived_cl1806])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl1844, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((divide @ (multiply @ X2 @ X0) @ X1)
% 5.99/1.44 = (divide @ X2 @ (divide @ X1 @ X0)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1830, zip_derived_cl6])).
% 5.99/1.44 thf(zip_derived_cl209, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]:
% 5.99/1.44 ((multiply @ (divide @ (inverse @ (inverse @ X0)) @ X1) @ X1) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl111])).
% 5.99/1.44 thf(zip_derived_cl955, plain,
% 5.99/1.44 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl25])).
% 5.99/1.44 thf(zip_derived_cl988, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl955])).
% 5.99/1.44 thf(zip_derived_cl2855, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ (divide @ X2 @ (divide @ X1 @ X0)) @ X1)
% 5.99/1.44 = (multiply @ X2 @ X0))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl1844, zip_derived_cl988])).
% 5.99/1.44 thf(zip_derived_cl4208, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ (divide @ X2 @ (inverse @ X0)) @ X1)
% 5.99/1.44 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 5.99/1.44 inference('sup+', [status(thm)], [zip_derived_cl1008, zip_derived_cl2855])).
% 5.99/1.44 thf(zip_derived_cl6, plain,
% 5.99/1.44 (![X0 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.99/1.44 thf(zip_derived_cl4245, plain,
% 5.99/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.99/1.44 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 5.99/1.44 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl4208, zip_derived_cl6])).
% 5.99/1.44 thf(zip_derived_cl4263, plain,
% 5.99/1.44 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 5.99/1.44 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.99/1.44 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl4245])).
% 5.99/1.44 thf(zip_derived_cl4264, plain, ($false),
% 5.99/1.44 inference('simplify', [status(thm)], [zip_derived_cl4263])).
% 5.99/1.44
% 5.99/1.44 % SZS output end Refutation
% 5.99/1.44
% 5.99/1.44
% 5.99/1.44 % Terminating...
% 5.99/1.49 % Runner terminated.
% 5.99/1.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------