TSTP Solution File: GRP601-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP601-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sLLnpJHaB9 true
% Computer : n009.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 4.25s 1.20s
% Output : Refutation 4.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP601-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sLLnpJHaB9 true
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 22:59:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.44/0.60 % Total configuration time : 435
% 0.44/0.60 % Estimated wc time : 1092
% 0.44/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.25/1.20 % Solved by fo/fo4.sh.
% 4.25/1.20 % done 58 iterations in 0.434s
% 4.25/1.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.25/1.20 % SZS output start Refutation
% 4.25/1.20 thf(multiply_type, type, multiply: $i > $i > $i).
% 4.25/1.20 thf(b1_type, type, b1: $i).
% 4.25/1.20 thf(inverse_type, type, inverse: $i > $i).
% 4.25/1.20 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 4.25/1.20 thf(a1_type, type, a1: $i).
% 4.25/1.20 thf(single_axiom, axiom,
% 4.25/1.20 (( inverse @
% 4.25/1.20 ( double_divide @
% 4.25/1.20 ( inverse @
% 4.25/1.20 ( double_divide @
% 4.25/1.20 A @
% 4.25/1.20 ( inverse @ ( double_divide @ B @ ( double_divide @ A @ C ) ) ) ) ) @
% 4.25/1.20 C ) ) =
% 4.25/1.20 ( B ))).
% 4.25/1.20 thf(zip_derived_cl0, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((inverse @
% 4.25/1.20 (double_divide @
% 4.25/1.20 (inverse @
% 4.25/1.20 (double_divide @ X1 @
% 4.25/1.20 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 4.25/1.20 X2))
% 4.25/1.20 = (X0))),
% 4.25/1.20 inference('cnf', [status(esa)], [single_axiom])).
% 4.25/1.20 thf(multiply, axiom,
% 4.25/1.20 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 4.25/1.20 thf(zip_derived_cl1, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 4.25/1.20 inference('cnf', [status(esa)], [multiply])).
% 4.25/1.20 thf(zip_derived_cl1, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 4.25/1.20 inference('cnf', [status(esa)], [multiply])).
% 4.25/1.20 thf(zip_derived_cl1, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 4.25/1.20 inference('cnf', [status(esa)], [multiply])).
% 4.25/1.20 thf(zip_derived_cl3, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ X2 @
% 4.25/1.20 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 4.25/1.20 = (X0))),
% 4.25/1.20 inference('demod', [status(thm)],
% 4.25/1.20 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 4.25/1.20 zip_derived_cl1])).
% 4.25/1.20 thf(zip_derived_cl3, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ X2 @
% 4.25/1.20 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 4.25/1.20 = (X0))),
% 4.25/1.20 inference('demod', [status(thm)],
% 4.25/1.20 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 4.25/1.20 zip_derived_cl1])).
% 4.25/1.20 thf(zip_derived_cl4, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.25/1.20 ((multiply @ X2 @ (multiply @ X0 @ X3))
% 4.25/1.20 = (multiply @
% 4.25/1.20 (multiply @ (double_divide @ X1 @ (double_divide @ X3 @ X2)) @ X0) @
% 4.25/1.20 X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 4.25/1.20 thf(zip_derived_cl3, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ X2 @
% 4.25/1.20 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 4.25/1.20 = (X0))),
% 4.25/1.20 inference('demod', [status(thm)],
% 4.25/1.20 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 4.25/1.20 zip_derived_cl1])).
% 4.25/1.20 thf(zip_derived_cl6, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (double_divide @ X0 @ X2) @
% 4.25/1.20 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.25/1.20 thf(zip_derived_cl6, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (double_divide @ X0 @ X2) @
% 4.25/1.20 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.25/1.20 thf(zip_derived_cl6, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (double_divide @ X0 @ X2) @
% 4.25/1.20 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.25/1.20 thf(zip_derived_cl10, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @
% 4.25/1.20 (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)) @
% 4.25/1.20 X0) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 4.25/1.20 thf(zip_derived_cl6, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (double_divide @ X0 @ X2) @
% 4.25/1.20 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.25/1.20 thf(zip_derived_cl19, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.25/1.20 ((multiply @ (double_divide @ X2 @ X3) @ (multiply @ X3 @ X0))
% 4.25/1.20 = (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X1 @ X0)))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 4.25/1.20 thf(zip_derived_cl6, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (double_divide @ X0 @ X2) @
% 4.25/1.20 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.25/1.20 thf(zip_derived_cl46, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((double_divide @ (multiply @ X0 @ X2) @
% 4.25/1.20 (double_divide @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl6])).
% 4.25/1.20 thf(zip_derived_cl1, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 4.25/1.20 inference('cnf', [status(esa)], [multiply])).
% 4.25/1.20 thf(zip_derived_cl210, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (double_divide @ X2 @ (multiply @ X0 @ X1)) @
% 4.25/1.20 (multiply @ X1 @ X2)) = (inverse @ X0))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl1])).
% 4.25/1.20 thf(zip_derived_cl3, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ X2 @
% 4.25/1.20 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 4.25/1.20 = (X0))),
% 4.25/1.20 inference('demod', [status(thm)],
% 4.25/1.20 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 4.25/1.20 zip_derived_cl1])).
% 4.25/1.20 thf(zip_derived_cl6, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (double_divide @ X0 @ X2) @
% 4.25/1.20 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.25/1.20 thf(zip_derived_cl210, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (double_divide @ X2 @ (multiply @ X0 @ X1)) @
% 4.25/1.20 (multiply @ X1 @ X2)) = (inverse @ X0))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl1])).
% 4.25/1.20 thf(zip_derived_cl3, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ X2 @
% 4.25/1.20 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 4.25/1.20 = (X0))),
% 4.25/1.20 inference('demod', [status(thm)],
% 4.25/1.20 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 4.25/1.20 zip_derived_cl1])).
% 4.25/1.20 thf(zip_derived_cl256, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (multiply @ X0 @ X2) @ (multiply @ (inverse @ X0) @ X1))
% 4.25/1.20 = (multiply @ X2 @ X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl3])).
% 4.25/1.20 thf(zip_derived_cl299, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.25/1.20 ((multiply @ X0 @
% 4.25/1.20 (multiply @ (inverse @ (double_divide @ X2 @ X3)) @ X1))
% 4.25/1.20 = (multiply @ (multiply @ X3 @ (multiply @ X0 @ X2)) @ X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl256])).
% 4.25/1.20 thf(zip_derived_cl1, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 4.25/1.20 inference('cnf', [status(esa)], [multiply])).
% 4.25/1.20 thf(zip_derived_cl307, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.25/1.20 ((multiply @ X0 @ (multiply @ (multiply @ X3 @ X2) @ X1))
% 4.25/1.20 = (multiply @ (multiply @ X3 @ (multiply @ X0 @ X2)) @ X1))),
% 4.25/1.20 inference('demod', [status(thm)], [zip_derived_cl299, zip_derived_cl1])).
% 4.25/1.20 thf(zip_derived_cl256, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (multiply @ X0 @ X2) @ (multiply @ (inverse @ X0) @ X1))
% 4.25/1.20 = (multiply @ X2 @ X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl3])).
% 4.25/1.20 thf(zip_derived_cl368, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.25/1.20 ((multiply @ X3 @
% 4.25/1.20 (multiply @ (multiply @ X1 @ X2) @ (multiply @ (inverse @ X1) @ X0)))
% 4.25/1.20 = (multiply @ (multiply @ X3 @ X2) @ X0))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl307, zip_derived_cl256])).
% 4.25/1.20 thf(zip_derived_cl256, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ (multiply @ X0 @ X2) @ (multiply @ (inverse @ X0) @ X1))
% 4.25/1.20 = (multiply @ X2 @ X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl3])).
% 4.25/1.20 thf(zip_derived_cl409, plain,
% 4.25/1.20 (![X0 : $i, X2 : $i, X3 : $i]:
% 4.25/1.20 ((multiply @ X3 @ (multiply @ X2 @ X0))
% 4.25/1.20 = (multiply @ (multiply @ X3 @ X2) @ X0))),
% 4.25/1.20 inference('demod', [status(thm)], [zip_derived_cl368, zip_derived_cl256])).
% 4.25/1.20 thf(zip_derived_cl410, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ X2 @
% 4.25/1.20 (multiply @ (double_divide @ X1 @ X2) @ (multiply @ X0 @ X1)))
% 4.25/1.20 = (X0))),
% 4.25/1.20 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl409])).
% 4.25/1.20 thf(zip_derived_cl476, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl410])).
% 4.25/1.20 thf(zip_derived_cl524, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ X0 @ (inverse @ (double_divide @ X1 @ X2)))
% 4.25/1.20 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl476])).
% 4.25/1.20 thf(zip_derived_cl1, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 4.25/1.20 inference('cnf', [status(esa)], [multiply])).
% 4.25/1.20 thf(zip_derived_cl535, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 4.25/1.20 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 4.25/1.20 inference('demod', [status(thm)], [zip_derived_cl524, zip_derived_cl1])).
% 4.25/1.20 thf(zip_derived_cl476, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl410])).
% 4.25/1.20 thf(zip_derived_cl409, plain,
% 4.25/1.20 (![X0 : $i, X2 : $i, X3 : $i]:
% 4.25/1.20 ((multiply @ X3 @ (multiply @ X2 @ X0))
% 4.25/1.20 = (multiply @ (multiply @ X3 @ X2) @ X0))),
% 4.25/1.20 inference('demod', [status(thm)], [zip_derived_cl368, zip_derived_cl256])).
% 4.25/1.20 thf(zip_derived_cl519, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X1))) = (X0))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl476, zip_derived_cl409])).
% 4.25/1.20 thf(zip_derived_cl601, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl535, zip_derived_cl519])).
% 4.25/1.20 thf(zip_derived_cl476, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl410])).
% 4.25/1.20 thf(zip_derived_cl892, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl476])).
% 4.25/1.20 thf(prove_these_axioms_1, conjecture,
% 4.25/1.20 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 4.25/1.20 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 4.25/1.20 thf(zf_stmt_0, negated_conjecture,
% 4.25/1.20 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 4.25/1.20 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 4.25/1.20 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 4.25/1.20 thf(zip_derived_cl2, plain,
% 4.25/1.20 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 4.25/1.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.25/1.20 thf(zip_derived_cl601, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl535, zip_derived_cl519])).
% 4.25/1.20 thf(zip_derived_cl535, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 4.25/1.20 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 4.25/1.20 inference('demod', [status(thm)], [zip_derived_cl524, zip_derived_cl1])).
% 4.25/1.20 thf(zip_derived_cl893, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.20 ((multiply @ X0 @ (multiply @ X2 @ (multiply @ X1 @ (inverse @ X1))))
% 4.25/1.20 = (multiply @ X2 @ X0))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl535])).
% 4.25/1.20 thf(zip_derived_cl601, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl535, zip_derived_cl519])).
% 4.25/1.20 thf(zip_derived_cl931, plain,
% 4.25/1.20 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 4.25/1.20 inference('demod', [status(thm)], [zip_derived_cl893, zip_derived_cl601])).
% 4.25/1.20 thf(zip_derived_cl931, plain,
% 4.25/1.20 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 4.25/1.20 inference('demod', [status(thm)], [zip_derived_cl893, zip_derived_cl601])).
% 4.25/1.20 thf(zip_derived_cl940, plain,
% 4.25/1.20 (((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))),
% 4.25/1.20 inference('demod', [status(thm)],
% 4.25/1.20 [zip_derived_cl2, zip_derived_cl931, zip_derived_cl931])).
% 4.25/1.20 thf(zip_derived_cl1387, plain,
% 4.25/1.20 (![X0 : $i]:
% 4.25/1.20 ((multiply @ X0 @ (inverse @ X0)) != (multiply @ b1 @ (inverse @ b1)))),
% 4.25/1.20 inference('sup-', [status(thm)], [zip_derived_cl892, zip_derived_cl940])).
% 4.25/1.20 thf(zip_derived_cl892, plain,
% 4.25/1.20 (![X0 : $i, X1 : $i]:
% 4.25/1.20 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 4.25/1.20 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl476])).
% 4.25/1.20 thf(zip_derived_cl1450, plain, ($false),
% 4.25/1.20 inference('simplify_reflect+', [status(thm)],
% 4.25/1.20 [zip_derived_cl1387, zip_derived_cl892])).
% 4.25/1.20
% 4.25/1.20 % SZS output end Refutation
% 4.25/1.20
% 4.25/1.20
% 4.25/1.20 % Terminating...
% 4.97/1.32 % Runner terminated.
% 4.97/1.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------