TSTP Solution File: GRP063-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E0OUJZx1oD true
% Computer : n028.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 01:49:46 EDT 2023
% Result : Unsatisfiable 4.36s 1.29s
% Output : Refutation 4.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E0OUJZx1oD true
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 20:20:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.51/0.64 % Total configuration time : 435
% 0.51/0.64 % Estimated wc time : 1092
% 0.51/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.36/1.29 % Solved by fo/fo5.sh.
% 4.36/1.29 % done 816 iterations in 0.520s
% 4.36/1.29 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.36/1.29 % SZS output start Refutation
% 4.36/1.29 thf(multiply_type, type, multiply: $i > $i > $i).
% 4.36/1.29 thf(b2_type, type, b2: $i).
% 4.36/1.29 thf(a3_type, type, a3: $i).
% 4.36/1.29 thf(b1_type, type, b1: $i).
% 4.36/1.29 thf(a1_type, type, a1: $i).
% 4.36/1.29 thf(divide_type, type, divide: $i > $i > $i).
% 4.36/1.29 thf(inverse_type, type, inverse: $i > $i).
% 4.36/1.29 thf(c3_type, type, c3: $i).
% 4.36/1.29 thf(b3_type, type, b3: $i).
% 4.36/1.29 thf(a2_type, type, a2: $i).
% 4.36/1.29 thf(prove_these_axioms, conjecture,
% 4.36/1.29 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 4.36/1.29 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 4.36/1.29 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 4.36/1.29 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 4.36/1.29 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 4.36/1.29 thf(zf_stmt_0, negated_conjecture,
% 4.36/1.29 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 4.36/1.29 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 4.36/1.29 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 4.36/1.29 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 4.36/1.29 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 4.36/1.29 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 4.36/1.29 thf(zip_derived_cl3, plain,
% 4.36/1.29 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 4.36/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 4.36/1.29 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 4.36/1.29 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 4.36/1.29 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.36/1.29 thf(multiply, axiom,
% 4.36/1.29 (( multiply @ X @ Y ) =
% 4.36/1.29 ( divide @ X @ ( divide @ ( divide @ Z @ Z ) @ Y ) ))).
% 4.36/1.29 thf(zip_derived_cl1, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2)
% 4.36/1.29 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 4.36/1.29 inference('cnf', [status(esa)], [multiply])).
% 4.36/1.29 thf(inverse, axiom, (( inverse @ X ) = ( divide @ ( divide @ Z @ Z ) @ X ))).
% 4.36/1.29 thf(zip_derived_cl2, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.36/1.29 inference('cnf', [status(esa)], [inverse])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl2, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.36/1.29 inference('cnf', [status(esa)], [inverse])).
% 4.36/1.29 thf(zip_derived_cl7, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (multiply @ (inverse @ X0) @ X0) @ X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl52, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0)
% 4.36/1.29 = (inverse @ (inverse @ X0)))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl55, plain,
% 4.36/1.29 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 4.36/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 4.36/1.29 | ((inverse @ (inverse @ a2)) != (a2))
% 4.36/1.29 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl52])).
% 4.36/1.29 thf(zip_derived_cl2, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.36/1.29 inference('cnf', [status(esa)], [inverse])).
% 4.36/1.29 thf(single_axiom, axiom,
% 4.36/1.29 (( divide @
% 4.36/1.29 X @
% 4.36/1.29 ( divide @
% 4.36/1.29 ( divide @ ( divide @ ( divide @ X @ X ) @ Y ) @ Z ) @
% 4.36/1.29 ( divide @ ( divide @ ( divide @ X @ X ) @ X ) @ Z ) ) ) =
% 4.36/1.29 ( Y ))).
% 4.36/1.29 thf(zip_derived_cl0, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((divide @ X1 @
% 4.36/1.29 (divide @ (divide @ (divide @ (divide @ X1 @ X1) @ X0) @ X2) @
% 4.36/1.29 (divide @ (divide @ (divide @ X1 @ X1) @ X1) @ X2)))
% 4.36/1.29 = (X0))),
% 4.36/1.29 inference('cnf', [status(esa)], [single_axiom])).
% 4.36/1.29 thf(zip_derived_cl2, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.36/1.29 inference('cnf', [status(esa)], [inverse])).
% 4.36/1.29 thf(zip_derived_cl2, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.36/1.29 inference('cnf', [status(esa)], [inverse])).
% 4.36/1.29 thf(zip_derived_cl9, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((divide @ X1 @
% 4.36/1.29 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.36/1.29 (divide @ (inverse @ X1) @ X2)))
% 4.36/1.29 = (X0))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl13, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((divide @ X1 @ (inverse @ (divide @ (inverse @ X1) @ (inverse @ X0))))
% 4.36/1.29 = (X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl18, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl18, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl21, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl18])).
% 4.36/1.29 thf(zip_derived_cl52, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0)
% 4.36/1.29 = (inverse @ (inverse @ X0)))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl59, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1)
% 4.36/1.29 = (inverse @ (inverse @ X1)))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl52])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl2, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.36/1.29 inference('cnf', [status(esa)], [inverse])).
% 4.36/1.29 thf(zip_derived_cl2, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.36/1.29 inference('cnf', [status(esa)], [inverse])).
% 4.36/1.29 thf(zip_derived_cl4, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl9, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((divide @ X1 @
% 4.36/1.29 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.36/1.29 (divide @ (inverse @ X1) @ X2)))
% 4.36/1.29 = (X0))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl35, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((divide @ (divide @ X2 @ X2) @
% 4.36/1.29 (divide @ (divide @ (inverse @ X1) @ X0) @ (inverse @ X0))) = (
% 4.36/1.29 X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl9])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl2, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.36/1.29 inference('cnf', [status(esa)], [inverse])).
% 4.36/1.29 thf(zip_derived_cl41, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ (multiply @ (divide @ (inverse @ X1) @ X0) @ X0)) = (X1))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl35, zip_derived_cl6, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl106, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @
% 4.36/1.29 (multiply @ (multiply @ (inverse @ X1) @ X0) @ (inverse @ X0)))
% 4.36/1.29 = (X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl41])).
% 4.36/1.29 thf(zip_derived_cl188, plain,
% 4.36/1.29 (![X0 : $i]:
% 4.36/1.29 ((inverse @
% 4.36/1.29 (inverse @ (inverse @ (inverse @ (inverse @ (inverse @ X0))))))
% 4.36/1.29 = (X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl106])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl2, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.36/1.29 inference('cnf', [status(esa)], [inverse])).
% 4.36/1.29 thf(zip_derived_cl8, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ (inverse @ X0)) = (multiply @ (divide @ X1 @ X1) @ X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl41, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ (multiply @ (divide @ (inverse @ X1) @ X0) @ X0)) = (X1))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl35, zip_derived_cl6, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl104, plain,
% 4.36/1.29 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X0)))) = (X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl41])).
% 4.36/1.29 thf(zip_derived_cl203, plain,
% 4.36/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl104])).
% 4.36/1.29 thf(zip_derived_cl210, plain,
% 4.36/1.29 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 4.36/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 4.36/1.29 | ((a2) != (a2))
% 4.36/1.29 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl203])).
% 4.36/1.29 thf(zip_derived_cl211, plain,
% 4.36/1.29 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 4.36/1.29 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 4.36/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 4.36/1.29 inference('simplify', [status(thm)], [zip_derived_cl210])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl21, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl18])).
% 4.36/1.29 thf(zip_derived_cl18, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl24, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl18])).
% 4.36/1.29 thf(zip_derived_cl18, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl106, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @
% 4.36/1.29 (multiply @ (multiply @ (inverse @ X1) @ X0) @ (inverse @ X0)))
% 4.36/1.29 = (X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl41])).
% 4.36/1.29 thf(zip_derived_cl194, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @
% 4.36/1.29 (multiply @ X0 @
% 4.36/1.29 (inverse @ (multiply @ (inverse @ (inverse @ X1)) @ X0))))
% 4.36/1.29 = (X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl106])).
% 4.36/1.29 thf(zip_derived_cl21, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl18])).
% 4.36/1.29 thf(zip_derived_cl204, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))) = (X1))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl21])).
% 4.36/1.29 thf(zip_derived_cl203, plain,
% 4.36/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl104])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl224, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl320, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ (divide @ X0 @ (multiply @ X1 @ X0))) = (X1))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl224])).
% 4.36/1.29 thf(zip_derived_cl203, plain,
% 4.36/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl104])).
% 4.36/1.29 thf(zip_derived_cl328, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X0) = (divide @ X1 @ (multiply @ X0 @ X1)))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl203])).
% 4.36/1.29 thf(zip_derived_cl482, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ (inverse @ X1)) = (divide @ (multiply @ X1 @ X0) @ X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl328])).
% 4.36/1.29 thf(zip_derived_cl203, plain,
% 4.36/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl104])).
% 4.36/1.29 thf(zip_derived_cl483, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]: ((X1) = (divide @ (multiply @ X1 @ X0) @ X0))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl482, zip_derived_cl203])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl495, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl224, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl503, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl495, zip_derived_cl224])).
% 4.36/1.29 thf(zip_derived_cl535, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl503])).
% 4.36/1.29 thf(zip_derived_cl24, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl18])).
% 4.36/1.29 thf(zip_derived_cl594, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0) = (inverse @ X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl535, zip_derived_cl24])).
% 4.36/1.29 thf(zip_derived_cl2, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 4.36/1.29 inference('cnf', [status(esa)], [inverse])).
% 4.36/1.29 thf(zip_derived_cl9, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((divide @ X1 @
% 4.36/1.29 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.36/1.29 (divide @ (inverse @ X1) @ X2)))
% 4.36/1.29 = (X0))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl9, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((divide @ X1 @
% 4.36/1.29 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.36/1.29 (divide @ (inverse @ X1) @ X2)))
% 4.36/1.29 = (X0))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl12, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.36/1.29 ((divide @ X3 @
% 4.36/1.29 (divide @
% 4.36/1.29 (divide @ (inverse @ X1) @
% 4.36/1.29 (divide @ (divide @ (inverse @ X0) @ X2) @
% 4.36/1.29 (divide @ (inverse @ (inverse @ X3)) @ X2))) @
% 4.36/1.29 X0))
% 4.36/1.29 = (X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl9])).
% 4.36/1.29 thf(zip_derived_cl203, plain,
% 4.36/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl104])).
% 4.36/1.29 thf(zip_derived_cl406, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.36/1.29 ((divide @ X3 @
% 4.36/1.29 (divide @
% 4.36/1.29 (divide @ (inverse @ X1) @
% 4.36/1.29 (divide @ (divide @ (inverse @ X0) @ X2) @ (divide @ X3 @ X2))) @
% 4.36/1.29 X0))
% 4.36/1.29 = (X1))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl203])).
% 4.36/1.29 thf(zip_derived_cl426, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((divide @ X1 @
% 4.36/1.29 (divide @
% 4.36/1.29 (divide @ (inverse @ X2) @
% 4.36/1.29 (inverse @ (divide @ X1 @ (inverse @ X0)))) @
% 4.36/1.29 X0))
% 4.36/1.29 = (X2))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl406])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl450, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((divide @ X1 @
% 4.36/1.29 (divide @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0)) @ X0))
% 4.36/1.29 = (X2))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl426, zip_derived_cl6, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl4125, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((divide @ X2 @ (divide @ (inverse @ X0) @ X1))
% 4.36/1.29 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl594, zip_derived_cl450])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl503, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl495, zip_derived_cl224])).
% 4.36/1.29 thf(zip_derived_cl328, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X0) = (divide @ X1 @ (multiply @ X0 @ X1)))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl203])).
% 4.36/1.29 thf(zip_derived_cl527, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl503, zip_derived_cl328])).
% 4.36/1.29 thf(zip_derived_cl586, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ (multiply @ X1 @ X0)) = (divide @ (inverse @ X0) @ X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl527])).
% 4.36/1.29 thf(zip_derived_cl6, plain,
% 4.36/1.29 (![X0 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl4176, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.29 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 4.36/1.29 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 4.36/1.29 inference('demod', [status(thm)],
% 4.36/1.29 [zip_derived_cl4125, zip_derived_cl586, zip_derived_cl6])).
% 4.36/1.29 thf(zip_derived_cl4617, plain,
% 4.36/1.29 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 4.36/1.29 | ((multiply @ a3 @ (multiply @ b3 @ c3))
% 4.36/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl211, zip_derived_cl4176])).
% 4.36/1.29 thf(zip_derived_cl4618, plain,
% 4.36/1.29 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 4.36/1.29 inference('simplify', [status(thm)], [zip_derived_cl4617])).
% 4.36/1.29 thf(zip_derived_cl7, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((inverse @ X1) = (divide @ (multiply @ (inverse @ X0) @ X0) @ X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 4.36/1.29 thf(zip_derived_cl503, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 4.36/1.29 inference('demod', [status(thm)], [zip_derived_cl495, zip_derived_cl224])).
% 4.36/1.29 thf(zip_derived_cl538, plain,
% 4.36/1.29 (![X0 : $i, X1 : $i]:
% 4.36/1.29 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 4.36/1.29 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl503])).
% 4.36/1.29 thf(zip_derived_cl4619, plain, ($false),
% 4.36/1.29 inference('simplify_reflect+', [status(thm)],
% 4.36/1.29 [zip_derived_cl4618, zip_derived_cl538])).
% 4.36/1.29
% 4.36/1.29 % SZS output end Refutation
% 4.36/1.29
% 4.36/1.29
% 4.36/1.29 % Terminating...
% 5.08/1.34 % Runner terminated.
% 5.08/1.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------