TSTP Solution File: GRP068-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP068-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Se3OBc2O34 true
% Computer : n005.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 01:49:47 EDT 2023
% Result : Unsatisfiable 1.31s 0.89s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP068-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Se3OBc2O34 true
% 0.14/0.34 % Computer : n005.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 : Tue Aug 29 01:57:07 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.89 % Solved by fo/fo5.sh.
% 1.31/0.89 % done 193 iterations in 0.115s
% 1.31/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.89 % SZS output start Refutation
% 1.31/0.89 thf(a3_type, type, a3: $i).
% 1.31/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.31/0.89 thf(identity_type, type, identity: $i).
% 1.31/0.89 thf(c3_type, type, c3: $i).
% 1.31/0.89 thf(a2_type, type, a2: $i).
% 1.31/0.89 thf(a1_type, type, a1: $i).
% 1.31/0.89 thf(divide_type, type, divide: $i > $i > $i).
% 1.31/0.89 thf(inverse_type, type, inverse: $i > $i).
% 1.31/0.89 thf(b3_type, type, b3: $i).
% 1.31/0.89 thf(prove_these_axioms, conjecture,
% 1.31/0.89 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.31/0.89 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.31/0.89 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 1.31/0.89 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) ) ))).
% 1.31/0.89 thf(zf_stmt_0, negated_conjecture,
% 1.31/0.89 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.31/0.89 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.31/0.89 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 1.31/0.89 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) )),
% 1.31/0.89 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 1.31/0.89 thf(zip_derived_cl4, plain,
% 1.31/0.89 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.31/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.31/0.89 | ((multiply @ identity @ a2) != (a2))
% 1.31/0.89 | ((multiply @ (inverse @ a1) @ a1) != (identity)))),
% 1.31/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.89 thf(multiply, axiom,
% 1.31/0.89 (( multiply @ X @ Y ) = ( divide @ X @ ( divide @ identity @ Y ) ))).
% 1.31/0.89 thf(zip_derived_cl1, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.31/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.31/0.89 thf(inverse, axiom, (( inverse @ X ) = ( divide @ identity @ X ))).
% 1.31/0.89 thf(zip_derived_cl2, plain,
% 1.31/0.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [inverse])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(identity, axiom, (( identity ) = ( divide @ X @ X ))).
% 1.31/0.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [identity])).
% 1.31/0.89 thf(zip_derived_cl7, plain,
% 1.31/0.89 (![X0 : $i]: ((identity) = (multiply @ (inverse @ X0) @ X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 1.31/0.89 thf(zip_derived_cl34, plain,
% 1.31/0.89 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.31/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.31/0.89 | ((multiply @ identity @ a2) != (a2))
% 1.31/0.89 | ((identity) != (identity)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 1.31/0.89 thf(zip_derived_cl35, plain,
% 1.31/0.89 ((((multiply @ identity @ a2) != (a2))
% 1.31/0.89 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.31/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.31/0.89 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl2, plain,
% 1.31/0.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [inverse])).
% 1.31/0.89 thf(zip_derived_cl8, plain,
% 1.31/0.89 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (multiply @ identity @ X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl39, plain,
% 1.31/0.89 ((((inverse @ (inverse @ a2)) != (a2))
% 1.31/0.89 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.31/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl8])).
% 1.31/0.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [identity])).
% 1.31/0.89 thf(zip_derived_cl2, plain,
% 1.31/0.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [inverse])).
% 1.31/0.89 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl25, plain,
% 1.31/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 1.31/0.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [identity])).
% 1.31/0.89 thf(single_axiom, axiom,
% 1.31/0.89 (( divide @
% 1.31/0.89 X @
% 1.31/0.89 ( divide @
% 1.31/0.89 ( divide @ ( divide @ identity @ Y ) @ Z ) @
% 1.31/0.89 ( divide @ ( divide @ ( divide @ X @ X ) @ X ) @ Z ) ) ) =
% 1.31/0.89 ( Y ))).
% 1.31/0.89 thf(zip_derived_cl0, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.89 ((divide @ X1 @
% 1.31/0.89 (divide @ (divide @ (divide @ identity @ X0) @ X2) @
% 1.31/0.89 (divide @ (divide @ (divide @ X1 @ X1) @ X1) @ X2)))
% 1.31/0.89 = (X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [single_axiom])).
% 1.31/0.89 thf(zip_derived_cl2, plain,
% 1.31/0.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [inverse])).
% 1.31/0.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [identity])).
% 1.31/0.89 thf(zip_derived_cl2, plain,
% 1.31/0.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [inverse])).
% 1.31/0.89 thf(zip_derived_cl9, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.89 ((divide @ X1 @
% 1.31/0.89 (divide @ (divide @ (inverse @ X0) @ X2) @
% 1.31/0.89 (divide @ (inverse @ X1) @ X2)))
% 1.31/0.89 = (X0))),
% 1.31/0.89 inference('demod', [status(thm)],
% 1.31/0.89 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl3,
% 1.31/0.89 zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl13, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 1.31/0.89 thf(zip_derived_cl40, plain,
% 1.31/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl13])).
% 1.31/0.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [identity])).
% 1.31/0.89 thf(zip_derived_cl9, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.89 ((divide @ X1 @
% 1.31/0.89 (divide @ (divide @ (inverse @ X0) @ X2) @
% 1.31/0.89 (divide @ (inverse @ X1) @ X2)))
% 1.31/0.89 = (X0))),
% 1.31/0.89 inference('demod', [status(thm)],
% 1.31/0.89 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl3,
% 1.31/0.89 zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl17, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((divide @ X1 @
% 1.31/0.89 (divide @ identity @ (divide @ (inverse @ X1) @ (inverse @ X0))))
% 1.31/0.89 = (X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl2, plain,
% 1.31/0.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.31/0.89 inference('cnf', [status(esa)], [inverse])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl22, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 1.31/0.89 inference('demod', [status(thm)],
% 1.31/0.89 [zip_derived_cl17, zip_derived_cl6, zip_derived_cl2,
% 1.31/0.89 zip_derived_cl6])).
% 1.31/0.89 thf(zip_derived_cl46, plain,
% 1.31/0.89 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl22])).
% 1.31/0.89 thf(zip_derived_cl22, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 1.31/0.89 inference('demod', [status(thm)],
% 1.31/0.89 [zip_derived_cl17, zip_derived_cl6, zip_derived_cl2,
% 1.31/0.89 zip_derived_cl6])).
% 1.31/0.89 thf(zip_derived_cl53, plain,
% 1.31/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (inverse @ (inverse @ X0)))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl22])).
% 1.31/0.89 thf(zip_derived_cl40, plain,
% 1.31/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl13])).
% 1.31/0.89 thf(zip_derived_cl56, plain,
% 1.31/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl40])).
% 1.31/0.89 thf(zip_derived_cl58, plain,
% 1.31/0.89 ((((a2) != (a2))
% 1.31/0.89 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.31/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl56])).
% 1.31/0.89 thf(zip_derived_cl59, plain,
% 1.31/0.89 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.31/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.31/0.89 inference('simplify', [status(thm)], [zip_derived_cl58])).
% 1.31/0.89 thf(zip_derived_cl56, plain,
% 1.31/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl40])).
% 1.31/0.89 thf(zip_derived_cl22, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 1.31/0.89 inference('demod', [status(thm)],
% 1.31/0.89 [zip_derived_cl17, zip_derived_cl6, zip_derived_cl2,
% 1.31/0.89 zip_derived_cl6])).
% 1.31/0.89 thf(zip_derived_cl66, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl22])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl66, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl22])).
% 1.31/0.89 thf(zip_derived_cl13, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 1.31/0.89 thf(zip_derived_cl9, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.89 ((divide @ X1 @
% 1.31/0.89 (divide @ (divide @ (inverse @ X0) @ X2) @
% 1.31/0.89 (divide @ (inverse @ X1) @ X2)))
% 1.31/0.89 = (X0))),
% 1.31/0.89 inference('demod', [status(thm)],
% 1.31/0.89 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl3,
% 1.31/0.89 zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl30, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((divide @ X1 @
% 1.31/0.89 (divide @ (inverse @ X0) @ (divide @ (inverse @ X1) @ identity)))
% 1.31/0.89 = (X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl9])).
% 1.31/0.89 thf(zip_derived_cl13, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl32, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((divide @ X1 @ (multiply @ (inverse @ X0) @ X1)) = (X0))),
% 1.31/0.89 inference('demod', [status(thm)],
% 1.31/0.89 [zip_derived_cl30, zip_derived_cl13, zip_derived_cl6])).
% 1.31/0.89 thf(zip_derived_cl135, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl32])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl153, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl6])).
% 1.31/0.89 thf(zip_derived_cl56, plain,
% 1.31/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl40])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl64, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl6])).
% 1.31/0.89 thf(zip_derived_cl161, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl153, zip_derived_cl64])).
% 1.31/0.89 thf(zip_derived_cl225, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl161])).
% 1.31/0.89 thf(zip_derived_cl66, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl22])).
% 1.31/0.89 thf(zip_derived_cl313, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0) = (inverse @ X1))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl66])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl9, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.89 ((divide @ X1 @
% 1.31/0.89 (divide @ (divide @ (inverse @ X0) @ X2) @
% 1.31/0.89 (divide @ (inverse @ X1) @ X2)))
% 1.31/0.89 = (X0))),
% 1.31/0.89 inference('demod', [status(thm)],
% 1.31/0.89 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl3,
% 1.31/0.89 zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl16, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.89 ((divide @ X1 @
% 1.31/0.89 (divide @ (divide @ (inverse @ X2) @ (inverse @ X0)) @
% 1.31/0.89 (multiply @ (inverse @ X1) @ X0)))
% 1.31/0.89 = (X2))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl9])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl21, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.89 ((divide @ X1 @
% 1.31/0.89 (divide @ (multiply @ (inverse @ X2) @ X0) @
% 1.31/0.89 (multiply @ (inverse @ X1) @ X0)))
% 1.31/0.89 = (X2))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl6])).
% 1.31/0.89 thf(zip_derived_cl663, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.89 ((divide @ X2 @
% 1.31/0.89 (divide @ (inverse @ X0) @ (multiply @ (inverse @ X2) @ X1)))
% 1.31/0.89 = (multiply @ X1 @ X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl21])).
% 1.31/0.89 thf(zip_derived_cl225, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl161])).
% 1.31/0.89 thf(zip_derived_cl56, plain,
% 1.31/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl40])).
% 1.31/0.89 thf(zip_derived_cl32, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((divide @ X1 @ (multiply @ (inverse @ X0) @ X1)) = (X0))),
% 1.31/0.89 inference('demod', [status(thm)],
% 1.31/0.89 [zip_derived_cl30, zip_derived_cl13, zip_derived_cl6])).
% 1.31/0.89 thf(zip_derived_cl138, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((divide @ X1 @ (multiply @ X0 @ X1)) = (inverse @ X0))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl32])).
% 1.31/0.89 thf(zip_derived_cl314, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((divide @ (inverse @ X1) @ X0) = (inverse @ (multiply @ X0 @ X1)))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl138])).
% 1.31/0.89 thf(zip_derived_cl6, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i]:
% 1.31/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.89 thf(zip_derived_cl688, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.89 ((multiply @ X2 @ (multiply @ (multiply @ (inverse @ X2) @ X1) @ X0))
% 1.31/0.89 = (multiply @ X1 @ X0))),
% 1.31/0.89 inference('demod', [status(thm)],
% 1.31/0.89 [zip_derived_cl663, zip_derived_cl314, zip_derived_cl6])).
% 1.31/0.89 thf(zip_derived_cl1393, plain,
% 1.31/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.89 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 1.31/0.89 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 1.31/0.89 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl688])).
% 1.31/0.89 thf(zip_derived_cl1432, plain,
% 1.31/0.89 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 1.31/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.31/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl1393])).
% 1.31/0.89 thf(zip_derived_cl1433, plain, ($false),
% 1.31/0.89 inference('simplify', [status(thm)], [zip_derived_cl1432])).
% 1.31/0.89
% 1.31/0.89 % SZS output end Refutation
% 1.31/0.89
% 1.31/0.89
% 1.31/0.89 % Terminating...
% 1.48/0.96 % Runner terminated.
% 1.48/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------