TSTP Solution File: GRP599-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP599-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0WJFYRvvOL true
% Computer : n007.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 Aug 31 01:52:16 EDT 2023
% Result : Unsatisfiable 16.49s 3.00s
% Output : Refutation 16.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP599-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0WJFYRvvOL true
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 20:16:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 16.49/3.00 % Solved by fo/fo5.sh.
% 16.49/3.00 % done 931 iterations in 2.248s
% 16.49/3.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.49/3.00 % SZS output start Refutation
% 16.49/3.00 thf(multiply_type, type, multiply: $i > $i > $i).
% 16.49/3.00 thf(b3_type, type, b3: $i).
% 16.49/3.00 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 16.49/3.00 thf(a3_type, type, a3: $i).
% 16.49/3.00 thf(inverse_type, type, inverse: $i > $i).
% 16.49/3.00 thf(c3_type, type, c3: $i).
% 16.49/3.00 thf(prove_these_axioms_3, conjecture,
% 16.49/3.00 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 16.49/3.00 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 16.49/3.00 thf(zf_stmt_0, negated_conjecture,
% 16.49/3.00 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 16.49/3.00 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 16.49/3.00 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 16.49/3.00 thf(zip_derived_cl2, plain,
% 16.49/3.00 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 16.49/3.00 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 16.49/3.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 16.49/3.00 thf(multiply, axiom,
% 16.49/3.00 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 16.49/3.00 thf(zip_derived_cl1, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.00 thf(single_axiom, axiom,
% 16.49/3.00 (( double_divide @
% 16.49/3.00 ( double_divide @ A @ B ) @
% 16.49/3.00 ( inverse @
% 16.49/3.00 ( double_divide @
% 16.49/3.00 A @ ( inverse @ ( double_divide @ ( inverse @ C ) @ B ) ) ) ) ) =
% 16.49/3.00 ( C ))).
% 16.49/3.00 thf(zip_derived_cl0, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((double_divide @ (double_divide @ X1 @ X2) @
% 16.49/3.00 (inverse @
% 16.49/3.00 (double_divide @ X1 @
% 16.49/3.00 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 16.49/3.00 = (X0))),
% 16.49/3.00 inference('cnf', [status(esa)], [single_axiom])).
% 16.49/3.00 thf(zip_derived_cl1, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.00 thf(zip_derived_cl1, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.00 thf(zip_derived_cl3, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((double_divide @ (double_divide @ X1 @ X2) @
% 16.49/3.00 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 16.49/3.00 inference('demod', [status(thm)],
% 16.49/3.00 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl3, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((double_divide @ (double_divide @ X1 @ X2) @
% 16.49/3.00 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 16.49/3.00 inference('demod', [status(thm)],
% 16.49/3.00 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl1, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.00 thf(zip_derived_cl5, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 16.49/3.00 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl10, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.49/3.00 ((multiply @
% 16.49/3.00 (multiply @
% 16.49/3.00 (multiply @ (multiply @ (multiply @ X3 @ (inverse @ X0)) @ X2) @
% 16.49/3.00 (inverse @ X1)) @
% 16.49/3.00 (double_divide @ X2 @ X3)) @
% 16.49/3.00 X0) = (inverse @ X1))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 16.49/3.00 thf(zip_derived_cl10, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.49/3.00 ((multiply @
% 16.49/3.00 (multiply @
% 16.49/3.00 (multiply @ (multiply @ (multiply @ X3 @ (inverse @ X0)) @ X2) @
% 16.49/3.00 (inverse @ X1)) @
% 16.49/3.00 (double_divide @ X2 @ X3)) @
% 16.49/3.00 X0) = (inverse @ X1))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 16.49/3.00 thf(zip_derived_cl186, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.49/3.00 ((multiply @
% 16.49/3.00 (multiply @ (inverse @ X0) @
% 16.49/3.00 (double_divide @ (double_divide @ X2 @ X3) @
% 16.49/3.00 (multiply @ (multiply @ X3 @ (inverse @ (inverse @ X1))) @ X2))) @
% 16.49/3.00 X0) = (inverse @ X1))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 16.49/3.00 thf(zip_derived_cl3, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((double_divide @ (double_divide @ X1 @ X2) @
% 16.49/3.00 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 16.49/3.00 inference('demod', [status(thm)],
% 16.49/3.00 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl193, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ (inverse @ X0) @ (inverse @ X1)) @ X0)
% 16.49/3.00 = (inverse @ X1))),
% 16.49/3.00 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl3])).
% 16.49/3.00 thf(zip_derived_cl240, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0)) @ X2)
% 16.49/3.00 = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl193])).
% 16.49/3.00 thf(zip_derived_cl1, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.00 thf(zip_derived_cl242, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0)) @ X2)
% 16.49/3.00 = (multiply @ X1 @ X0))),
% 16.49/3.00 inference('demod', [status(thm)], [zip_derived_cl240, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl1, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.00 thf(zip_derived_cl5, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 16.49/3.00 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl12, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.49/3.00 ((multiply @
% 16.49/3.00 (multiply @ (multiply @ X2 @ (multiply @ X1 @ X0)) @ X3) @
% 16.49/3.00 (double_divide @ X3 @ X2)) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 16.49/3.00 thf(zip_derived_cl1, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.00 thf(zip_derived_cl13, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.49/3.00 ((multiply @
% 16.49/3.00 (multiply @ (multiply @ X2 @ (multiply @ X1 @ X0)) @ X3) @
% 16.49/3.00 (double_divide @ X3 @ X2)) = (multiply @ X1 @ X0))),
% 16.49/3.00 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl363, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ X1 @ X0) @
% 16.49/3.00 (double_divide @ X2 @ (inverse @ X2))) = (multiply @ X1 @ X0))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl242, zip_derived_cl13])).
% 16.49/3.00 thf(zip_derived_cl193, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ (inverse @ X0) @ (inverse @ X1)) @ X0)
% 16.49/3.00 = (inverse @ X1))),
% 16.49/3.00 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl3])).
% 16.49/3.00 thf(zip_derived_cl438, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ (inverse @ (double_divide @ X1 @ (inverse @ X1))) @
% 16.49/3.00 (inverse @ X0)) = (inverse @ X0))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl363, zip_derived_cl193])).
% 16.49/3.00 thf(zip_derived_cl1, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.00 thf(zip_derived_cl481, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 16.49/3.00 = (inverse @ X0))),
% 16.49/3.00 inference('demod', [status(thm)], [zip_derived_cl438, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl1, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.00 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.00 thf(zip_derived_cl3, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((double_divide @ (double_divide @ X1 @ X2) @
% 16.49/3.00 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 16.49/3.00 inference('demod', [status(thm)],
% 16.49/3.00 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl6, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.49/3.00 ((double_divide @ (double_divide @ X2 @ X3) @
% 16.49/3.00 (multiply @ (multiply @ X3 @ (multiply @ X1 @ X0)) @ X2))
% 16.49/3.00 = (double_divide @ X0 @ X1))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 16.49/3.00 thf(zip_derived_cl486, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.49/3.00 ((double_divide @ (double_divide @ X2 @ X3) @
% 16.49/3.00 (multiply @ (multiply @ X3 @ (inverse @ X0)) @ X2))
% 16.49/3.00 = (double_divide @ (inverse @ X0) @ (multiply @ (inverse @ X1) @ X1)))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl481, zip_derived_cl6])).
% 16.49/3.00 thf(zip_derived_cl3, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((double_divide @ (double_divide @ X1 @ X2) @
% 16.49/3.00 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 16.49/3.00 inference('demod', [status(thm)],
% 16.49/3.00 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl516, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((X0)
% 16.49/3.00 = (double_divide @ (inverse @ X0) @ (multiply @ (inverse @ X1) @ X1)))),
% 16.49/3.00 inference('demod', [status(thm)], [zip_derived_cl486, zip_derived_cl3])).
% 16.49/3.00 thf(zip_derived_cl3, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((double_divide @ (double_divide @ X1 @ X2) @
% 16.49/3.00 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 16.49/3.00 inference('demod', [status(thm)],
% 16.49/3.00 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl528, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.00 ((double_divide @ X0 @
% 16.49/3.00 (multiply @
% 16.49/3.00 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1)) @
% 16.49/3.00 (inverse @ X0)))
% 16.49/3.00 = (X1))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl516, zip_derived_cl3])).
% 16.49/3.00 thf(zip_derived_cl481, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 16.49/3.00 = (inverse @ X0))),
% 16.49/3.00 inference('demod', [status(thm)], [zip_derived_cl438, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl543, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((double_divide @ X0 @ (multiply @ (inverse @ X1) @ (inverse @ X0)))
% 16.49/3.00 = (X1))),
% 16.49/3.00 inference('demod', [status(thm)], [zip_derived_cl528, zip_derived_cl481])).
% 16.49/3.00 thf(zip_derived_cl516, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((X0)
% 16.49/3.00 = (double_divide @ (inverse @ X0) @ (multiply @ (inverse @ X1) @ X1)))),
% 16.49/3.00 inference('demod', [status(thm)], [zip_derived_cl486, zip_derived_cl3])).
% 16.49/3.00 thf(zip_derived_cl563, plain,
% 16.49/3.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.00 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.00 thf(zip_derived_cl481, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 16.49/3.00 = (inverse @ X0))),
% 16.49/3.00 inference('demod', [status(thm)], [zip_derived_cl438, zip_derived_cl1])).
% 16.49/3.00 thf(zip_derived_cl585, plain,
% 16.49/3.00 (![X0 : $i, X1 : $i]:
% 16.49/3.00 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0)
% 16.49/3.01 = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl481])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl614, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) = (X0))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl585, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl3, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((double_divide @ (double_divide @ X1 @ X2) @
% 16.49/3.01 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 16.49/3.01 inference('demod', [status(thm)],
% 16.49/3.01 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 16.49/3.01 thf(zip_derived_cl643, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((double_divide @ (double_divide @ X0 @ (inverse @ (inverse @ X1))) @
% 16.49/3.01 X0) = (X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl614, zip_derived_cl3])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl671, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl643, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl671, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl643, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl794, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl671, zip_derived_cl671])).
% 16.49/3.01 thf(zip_derived_cl1, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.01 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.01 thf(zip_derived_cl1070, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (double_divide @ X0 @ X1) @ X1) = (inverse @ X0))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl794, zip_derived_cl1])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl193, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (inverse @ X0) @ (inverse @ X1)) @ X0)
% 16.49/3.01 = (inverse @ X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl3])).
% 16.49/3.01 thf(zip_derived_cl593, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (inverse @ X1) @ X0) @ X1)
% 16.49/3.01 = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl193])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl617, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (inverse @ X1) @ X0) @ X1) = (X0))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl593, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl709, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl617])).
% 16.49/3.01 thf(zip_derived_cl1488, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (inverse @ X0) @ (inverse @ (double_divide @ X0 @ X1)))
% 16.49/3.01 = (X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl1070, zip_derived_cl709])).
% 16.49/3.01 thf(zip_derived_cl1, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.01 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.01 thf(zip_derived_cl1533, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl1488, zip_derived_cl1])).
% 16.49/3.01 thf(zip_derived_cl671, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl643, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl614, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) = (X0))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl585, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl5, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 16.49/3.01 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 16.49/3.01 thf(zip_derived_cl644, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ X0 @ (double_divide @ X0 @ (inverse @ (inverse @ X1))))
% 16.49/3.01 = (inverse @ X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl614, zip_derived_cl5])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl672, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ X0 @ (double_divide @ X0 @ X1)) = (inverse @ X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl644, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl617, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (inverse @ X1) @ X0) @ X1) = (X0))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl593, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl1164, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (inverse @ X0) @ X1)
% 16.49/3.01 = (double_divide @ (inverse @ X1) @ X0))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl672, zip_derived_cl617])).
% 16.49/3.01 thf(zip_derived_cl543, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((double_divide @ X0 @ (multiply @ (inverse @ X1) @ (inverse @ X0)))
% 16.49/3.01 = (X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl528, zip_derived_cl481])).
% 16.49/3.01 thf(zip_derived_cl1821, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @
% 16.49/3.01 (inverse @ (multiply @ (inverse @ X1) @ (inverse @ (inverse @ X0)))) @
% 16.49/3.01 X0) = (X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl1164, zip_derived_cl543])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl1, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.01 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl604, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((double_divide @ X0 @ X1) = (inverse @ (multiply @ X1 @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl1834, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (double_divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 16.49/3.01 inference('demod', [status(thm)],
% 16.49/3.01 [zip_derived_cl1821, zip_derived_cl563, zip_derived_cl604])).
% 16.49/3.01 thf(zip_derived_cl1983, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ X0 @ (double_divide @ (inverse @ X1) @ X0)) = (X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl671, zip_derived_cl1834])).
% 16.49/3.01 thf(zip_derived_cl1164, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (inverse @ X0) @ X1)
% 16.49/3.01 = (double_divide @ (inverse @ X1) @ X0))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl672, zip_derived_cl617])).
% 16.49/3.01 thf(zip_derived_cl1989, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 16.49/3.01 inference('demod', [status(thm)],
% 16.49/3.01 [zip_derived_cl1983, zip_derived_cl1164])).
% 16.49/3.01 thf(zip_derived_cl2200, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl1533, zip_derived_cl1989])).
% 16.49/3.01 thf(zip_derived_cl2200, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl1533, zip_derived_cl1989])).
% 16.49/3.01 thf(zip_derived_cl2230, plain,
% 16.49/3.01 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 16.49/3.01 != (multiply @ a3 @ (multiply @ c3 @ b3)))),
% 16.49/3.01 inference('demod', [status(thm)],
% 16.49/3.01 [zip_derived_cl2, zip_derived_cl2200, zip_derived_cl2200])).
% 16.49/3.01 thf(zip_derived_cl2200, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl1533, zip_derived_cl1989])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl5, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 16.49/3.01 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 16.49/3.01 thf(zip_derived_cl573, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 16.49/3.01 (double_divide @ X2 @ X1)) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl5])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl606, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 16.49/3.01 (double_divide @ X2 @ X1)) = (X0))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl573, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl1533, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl1488, zip_derived_cl1])).
% 16.49/3.01 thf(zip_derived_cl8763, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ (inverse @ (double_divide @ X1 @ X2)) @ X0)
% 16.49/3.01 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl606, zip_derived_cl1533])).
% 16.49/3.01 thf(zip_derived_cl1, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.01 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.01 thf(zip_derived_cl8965, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 16.49/3.01 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl8763, zip_derived_cl1])).
% 16.49/3.01 thf(zip_derived_cl9341, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 16.49/3.01 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl2200, zip_derived_cl8965])).
% 16.49/3.01 thf(zip_derived_cl606, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 16.49/3.01 (double_divide @ X2 @ X1)) = (X0))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl573, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl1164, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (inverse @ X0) @ X1)
% 16.49/3.01 = (double_divide @ (inverse @ X1) @ X0))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl672, zip_derived_cl617])).
% 16.49/3.01 thf(zip_derived_cl1834, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (double_divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 16.49/3.01 inference('demod', [status(thm)],
% 16.49/3.01 [zip_derived_cl1821, zip_derived_cl563, zip_derived_cl604])).
% 16.49/3.01 thf(zip_derived_cl1985, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ (inverse @ (inverse @ X1)) @ X0) @
% 16.49/3.01 (inverse @ X0)) = (X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl1164, zip_derived_cl1834])).
% 16.49/3.01 thf(zip_derived_cl563, plain,
% 16.49/3.01 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl516])).
% 16.49/3.01 thf(zip_derived_cl1990, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl1985, zip_derived_cl563])).
% 16.49/3.01 thf(zip_derived_cl8764, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ X0 @ (inverse @ (double_divide @ X1 @ X2)))
% 16.49/3.01 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl606, zip_derived_cl1990])).
% 16.49/3.01 thf(zip_derived_cl1, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]:
% 16.49/3.01 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 16.49/3.01 inference('cnf', [status(esa)], [multiply])).
% 16.49/3.01 thf(zip_derived_cl8966, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 16.49/3.01 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 16.49/3.01 inference('demod', [status(thm)], [zip_derived_cl8764, zip_derived_cl1])).
% 16.49/3.01 thf(zip_derived_cl11482, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 16.49/3.01 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 16.49/3.01 inference('demod', [status(thm)],
% 16.49/3.01 [zip_derived_cl9341, zip_derived_cl8966])).
% 16.49/3.01 thf(zip_derived_cl2200, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 16.49/3.01 inference('sup+', [status(thm)], [zip_derived_cl1533, zip_derived_cl1989])).
% 16.49/3.01 thf(zip_derived_cl11491, plain,
% 16.49/3.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.49/3.01 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 16.49/3.01 = (multiply @ X1 @ (multiply @ X2 @ X0)))),
% 16.49/3.01 inference('sup+', [status(thm)],
% 16.49/3.01 [zip_derived_cl11482, zip_derived_cl2200])).
% 16.49/3.01 thf(zip_derived_cl12657, plain,
% 16.49/3.01 (((multiply @ a3 @ (multiply @ c3 @ b3))
% 16.49/3.01 != (multiply @ a3 @ (multiply @ c3 @ b3)))),
% 16.49/3.01 inference('demod', [status(thm)],
% 16.49/3.01 [zip_derived_cl2230, zip_derived_cl11491])).
% 16.49/3.01 thf(zip_derived_cl12658, plain, ($false),
% 16.49/3.01 inference('simplify', [status(thm)], [zip_derived_cl12657])).
% 16.49/3.01
% 16.49/3.01 % SZS output end Refutation
% 16.49/3.01
% 16.49/3.01
% 16.49/3.01 % Terminating...
% 17.06/3.07 % Runner terminated.
% 17.06/3.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------