%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP450-1 : 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.39tFCXLb34 true
% Computer : n012.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 4.95s 1.23s
% Output : Refutation 4.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP450-1 : TPTP v9.2.0. Released v2.6.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.39tFCXLb34 true
% 0.10/0.31 % Computer : n012.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 14:06:38 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.50/0.58 % Total configuration time : 435
% 0.50/0.58 % Estimated wc time : 1092
% 0.50/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.77/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.77/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.77/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.77/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.77/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.77/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.95/1.23 % Solved by fo/fo5.sh.
% 4.95/1.23 % done 646 iterations in 0.517s
% 4.95/1.23 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.95/1.23 % SZS output start Refutation
% 4.95/1.23 thf(multiply_type, type, multiply: $i > $i > $i).
% 4.95/1.23 thf(c3_type, type, c3: $i).
% 4.95/1.23 thf(b3_type, type, b3: $i).
% 4.95/1.23 thf(a3_type, type, a3: $i).
% 4.95/1.23 thf(divide_type, type, divide: $i > $i > $i).
% 4.95/1.23 thf(inverse_type, type, inverse: $i > $i).
% 4.95/1.23 thf(prove_these_axioms_3, conjecture,
% 4.95/1.23 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 4.95/1.23 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 4.95/1.23 thf(zf_stmt_0, negated_conjecture,
% 4.95/1.23 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 4.95/1.23 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 4.95/1.23 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 4.95/1.23 thf(zip_derived_cl3, plain,
% 4.95/1.23 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 4.95/1.23 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 4.95/1.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.95/1.23 thf(inverse, axiom, (( inverse @ A ) = ( divide @ ( divide @ B @ B ) @ A ))).
% 4.95/1.23 thf(zip_derived_cl2, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.95/1.23 inference('cnf', [status(esa)], [inverse])).
% 4.95/1.23 thf(single_axiom, axiom,
% 4.95/1.23 (( divide @
% 4.95/1.23 A @
% 4.95/1.23 ( divide @
% 4.95/1.23 ( divide @ ( divide @ ( divide @ B @ B ) @ B ) @ C ) @
% 4.95/1.23 ( divide @ ( divide @ ( divide @ B @ B ) @ A ) @ C ) ) ) =
% 4.95/1.23 ( B ))).
% 4.95/1.23 thf(zip_derived_cl0, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((divide @ X1 @
% 4.95/1.23 (divide @ (divide @ (divide @ (divide @ X0 @ X0) @ X0) @ X2) @
% 4.95/1.23 (divide @ (divide @ (divide @ X0 @ X0) @ X1) @ X2)))
% 4.95/1.23 = (X0))),
% 4.95/1.23 inference('cnf', [status(esa)], [single_axiom])).
% 4.95/1.23 thf(zip_derived_cl2, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.95/1.23 inference('cnf', [status(esa)], [inverse])).
% 4.95/1.23 thf(zip_derived_cl2, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.95/1.23 inference('cnf', [status(esa)], [inverse])).
% 4.95/1.23 thf(zip_derived_cl9, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((divide @ X1 @
% 4.95/1.23 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.95/1.23 (divide @ (inverse @ X1) @ X2)))
% 4.95/1.23 = (X0))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl13, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((divide @ X1 @ (inverse @ (divide @ (inverse @ X1) @ (inverse @ X0))))
% 4.95/1.23 = (X0))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 4.95/1.23 thf(multiply, axiom,
% 4.95/1.23 (( multiply @ A @ B ) =
% 4.95/1.23 ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ))).
% 4.95/1.23 thf(zip_derived_cl1, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X2)
% 4.95/1.23 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 4.95/1.23 inference('cnf', [status(esa)], [multiply])).
% 4.95/1.23 thf(zip_derived_cl2, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.95/1.23 inference('cnf', [status(esa)], [inverse])).
% 4.95/1.23 thf(zip_derived_cl6, plain,
% 4.95/1.23 (![X0 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl6, plain,
% 4.95/1.23 (![X0 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl18, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 4.95/1.23 thf(zip_derived_cl18, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 4.95/1.23 thf(zip_derived_cl21, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl18])).
% 4.95/1.23 thf(zip_derived_cl18, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 4.95/1.23 thf(zip_derived_cl24, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl18])).
% 4.95/1.23 thf(zip_derived_cl2, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.95/1.23 inference('cnf', [status(esa)], [inverse])).
% 4.95/1.23 thf(zip_derived_cl2, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.95/1.23 inference('cnf', [status(esa)], [inverse])).
% 4.95/1.23 thf(zip_derived_cl4, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl4, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl9, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((divide @ X1 @
% 4.95/1.23 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.95/1.23 (divide @ (inverse @ X1) @ X2)))
% 4.95/1.23 = (X0))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl40, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((divide @ (divide @ X2 @ X2) @
% 4.95/1.23 (divide @ (divide @ (inverse @ X1) @ X0) @ (inverse @ X0))) = (
% 4.95/1.23 X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl9])).
% 4.95/1.23 thf(zip_derived_cl6, plain,
% 4.95/1.23 (![X0 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl2, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.95/1.23 inference('cnf', [status(esa)], [inverse])).
% 4.95/1.23 thf(zip_derived_cl46, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ (multiply @ (divide @ (inverse @ X1) @ X0) @ X0)) = (X1))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl40, zip_derived_cl6, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl64, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ (multiply @ (inverse @ X0) @ X0)) = (divide @ X1 @ X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl46])).
% 4.95/1.23 thf(zip_derived_cl64, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ (multiply @ (inverse @ X0) @ X0)) = (divide @ X1 @ X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl46])).
% 4.95/1.23 thf(zip_derived_cl117, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl64])).
% 4.95/1.23 thf(zip_derived_cl9, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((divide @ X1 @
% 4.95/1.23 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.95/1.23 (divide @ (inverse @ X1) @ X2)))
% 4.95/1.23 = (X0))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl141, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl9])).
% 4.95/1.23 thf(zip_derived_cl9, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((divide @ X1 @
% 4.95/1.23 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.95/1.23 (divide @ (inverse @ X1) @ X2)))
% 4.95/1.23 = (X0))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl181, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((divide @ X0 @ (divide @ (inverse @ X1) @ (inverse @ X0))) = (X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl9])).
% 4.95/1.23 thf(zip_derived_cl6, plain,
% 4.95/1.23 (![X0 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl197, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((divide @ X0 @ (multiply @ (inverse @ X1) @ X0)) = (X1))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl6])).
% 4.95/1.23 thf(zip_derived_cl310, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl197])).
% 4.95/1.23 thf(zip_derived_cl4, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl9, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((divide @ X1 @
% 4.95/1.23 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.95/1.23 (divide @ (inverse @ X1) @ X2)))
% 4.95/1.23 = (X0))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl9, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((divide @ X1 @
% 4.95/1.23 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.95/1.23 (divide @ (inverse @ X1) @ X2)))
% 4.95/1.23 = (X0))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl11, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.95/1.23 ((divide @ X3 @
% 4.95/1.23 (divide @ X0 @
% 4.95/1.23 (divide @ (inverse @ X3) @
% 4.95/1.23 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.95/1.23 (divide @ (inverse @ (inverse @ X1)) @ X2)))))
% 4.95/1.23 = (X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl9])).
% 4.95/1.23 thf(zip_derived_cl117, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl64])).
% 4.95/1.23 thf(zip_derived_cl6, plain,
% 4.95/1.23 (![X0 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl139, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ (inverse @ X1) @ X1) = (divide @ X0 @ X0))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl6])).
% 4.95/1.23 thf(zip_derived_cl18, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 4.95/1.23 thf(zip_derived_cl220, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl18])).
% 4.95/1.23 thf(zip_derived_cl46, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ (multiply @ (divide @ (inverse @ X1) @ X0) @ X0)) = (X1))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl40, zip_derived_cl6, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl239, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X0))) = (X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl220, zip_derived_cl46])).
% 4.95/1.23 thf(zip_derived_cl141, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl9])).
% 4.95/1.23 thf(zip_derived_cl259, plain,
% 4.95/1.23 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl141])).
% 4.95/1.23 thf(zip_derived_cl344, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.95/1.23 ((divide @ X3 @
% 4.95/1.23 (divide @ X0 @
% 4.95/1.23 (divide @ (inverse @ X3) @
% 4.95/1.23 (divide @ (divide @ (inverse @ X0) @ X2) @ (divide @ X1 @ X2)))))
% 4.95/1.23 = (X1))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl259])).
% 4.95/1.23 thf(zip_derived_cl358, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.95/1.23 ((divide @ (divide @ X3 @ X3) @
% 4.95/1.23 (divide @ X2 @
% 4.95/1.23 (inverse @
% 4.95/1.23 (divide @ (divide @ (inverse @ X2) @ X0) @ (divide @ X1 @ X0)))))
% 4.95/1.23 = (X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl344])).
% 4.95/1.23 thf(zip_derived_cl6, plain,
% 4.95/1.23 (![X0 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl2, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.95/1.23 inference('cnf', [status(esa)], [inverse])).
% 4.95/1.23 thf(zip_derived_cl398, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((inverse @
% 4.95/1.23 (multiply @ X2 @
% 4.95/1.23 (divide @ (divide @ (inverse @ X2) @ X0) @ (divide @ X1 @ X0))))
% 4.95/1.23 = (X1))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl358, zip_derived_cl6, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl6, plain,
% 4.95/1.23 (![X0 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl310, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl197])).
% 4.95/1.23 thf(zip_derived_cl6, plain,
% 4.95/1.23 (![X0 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl336, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl310, zip_derived_cl6])).
% 4.95/1.23 thf(zip_derived_cl259, plain,
% 4.95/1.23 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl141])).
% 4.95/1.23 thf(zip_derived_cl6, plain,
% 4.95/1.23 (![X0 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.95/1.23 thf(zip_derived_cl273, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl6])).
% 4.95/1.23 thf(zip_derived_cl343, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl336, zip_derived_cl273])).
% 4.95/1.23 thf(zip_derived_cl444, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl343])).
% 4.95/1.23 thf(zip_derived_cl259, plain,
% 4.95/1.23 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl141])).
% 4.95/1.23 thf(zip_derived_cl197, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((divide @ X0 @ (multiply @ (inverse @ X1) @ X0)) = (X1))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl6])).
% 4.95/1.23 thf(zip_derived_cl313, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((divide @ X1 @ (multiply @ X0 @ X1)) = (inverse @ X0))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl197])).
% 4.95/1.23 thf(zip_derived_cl697, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((divide @ (inverse @ X1) @ X0) = (inverse @ (multiply @ X0 @ X1)))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl444, zip_derived_cl313])).
% 4.95/1.23 thf(zip_derived_cl697, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((divide @ (inverse @ X1) @ X0) = (inverse @ (multiply @ X0 @ X1)))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl444, zip_derived_cl313])).
% 4.95/1.23 thf(zip_derived_cl273, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl6])).
% 4.95/1.23 thf(zip_derived_cl343, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl336, zip_derived_cl273])).
% 4.95/1.23 thf(zip_derived_cl313, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((divide @ X1 @ (multiply @ X0 @ X1)) = (inverse @ X0))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl197])).
% 4.95/1.23 thf(zip_derived_cl696, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]:
% 4.95/1.23 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl343, zip_derived_cl313])).
% 4.95/1.23 thf(zip_derived_cl2448, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((divide @ (multiply @ (divide @ X1 @ X0) @ (multiply @ X0 @ X2)) @ X2)
% 4.95/1.23 = (X1))),
% 4.95/1.23 inference('demod', [status(thm)],
% 4.95/1.23 [zip_derived_cl398, zip_derived_cl697, zip_derived_cl697,
% 4.95/1.23 zip_derived_cl273, zip_derived_cl696])).
% 4.95/1.23 thf(zip_derived_cl343, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl336, zip_derived_cl273])).
% 4.95/1.23 thf(zip_derived_cl2449, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ X0 @ X1)
% 4.95/1.23 = (multiply @ (divide @ X0 @ X2) @ (multiply @ X2 @ X1)))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl2448, zip_derived_cl343])).
% 4.95/1.23 thf(zip_derived_cl2862, plain,
% 4.95/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.95/1.23 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 4.95/1.23 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 4.95/1.23 inference('sup+', [status(thm)], [zip_derived_cl310, zip_derived_cl2449])).
% 4.95/1.23 thf(zip_derived_cl2909, plain,
% 4.95/1.23 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 4.95/1.23 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 4.95/1.23 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2862])).
% 4.95/1.23 thf(zip_derived_cl2910, plain, ($false),
% 4.95/1.23 inference('simplify', [status(thm)], [zip_derived_cl2909])).
% 4.95/1.23
% 4.95/1.23 % SZS output end Refutation
% 4.95/1.23
% 4.95/1.23
% 4.95/1.23 % Terminating...
% 4.95/1.32 % Runner terminated.
% 4.95/1.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------