TSTP Solution File: GRP462-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP462-1 : 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.dv40Pk41FC true
% Computer : n021.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 01:51:45 EDT 2023
% Result : Unsatisfiable 0.62s 0.90s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16 % Problem : GRP462-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dv40Pk41FC true
% 0.17/0.38 % Computer : n021.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon Aug 28 22:46:14 EDT 2023
% 0.23/0.39 % CPUTime :
% 0.23/0.39 % Running portfolio for 300 s
% 0.23/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.39 % Number of cores: 8
% 0.23/0.39 % Python version: Python 3.6.8
% 0.23/0.39 % Running in FO mode
% 0.55/0.68 % Total configuration time : 435
% 0.55/0.68 % Estimated wc time : 1092
% 0.55/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.90 % Solved by fo/fo5.sh.
% 0.62/0.90 % done 177 iterations in 0.089s
% 0.62/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.90 % SZS output start Refutation
% 0.62/0.90 thf(c3_type, type, c3: $i).
% 0.62/0.90 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.62/0.90 thf(identity_type, type, identity: $i).
% 0.62/0.90 thf(b3_type, type, b3: $i).
% 0.62/0.90 thf(a3_type, type, a3: $i).
% 0.62/0.90 thf(divide_type, type, divide: $i > $i > $i).
% 0.62/0.90 thf(inverse_type, type, inverse: $i > $i).
% 0.62/0.90 thf(prove_these_axioms_3, conjecture,
% 0.62/0.90 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 0.62/0.90 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 0.62/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.62/0.90 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.62/0.90 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 0.62/0.90 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 0.62/0.90 thf(zip_derived_cl4, plain,
% 0.62/0.90 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.62/0.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.62/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.62/0.90 thf(identity, axiom, (( identity ) = ( divide @ A @ A ))).
% 0.62/0.90 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [identity])).
% 0.62/0.90 thf(inverse, axiom, (( inverse @ A ) = ( divide @ identity @ A ))).
% 0.62/0.90 thf(zip_derived_cl2, plain,
% 0.62/0.90 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [inverse])).
% 0.62/0.90 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.62/0.90 thf(multiply, axiom,
% 0.62/0.90 (( multiply @ A @ B ) = ( divide @ A @ ( divide @ identity @ B ) ))).
% 0.62/0.90 thf(zip_derived_cl1, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.62/0.90 inference('cnf', [status(esa)], [multiply])).
% 0.62/0.90 thf(zip_derived_cl2, plain,
% 0.62/0.90 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [inverse])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl25, plain,
% 0.62/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [identity])).
% 0.62/0.90 thf(single_axiom, axiom,
% 0.62/0.90 (( divide @
% 0.62/0.90 A @
% 0.62/0.90 ( divide @
% 0.62/0.90 ( divide @ ( divide @ identity @ B ) @ C ) @
% 0.62/0.90 ( divide @ ( divide @ ( divide @ A @ A ) @ A ) @ C ) ) ) =
% 0.62/0.90 ( B ))).
% 0.62/0.90 thf(zip_derived_cl0, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((divide @ X1 @
% 0.62/0.90 (divide @ (divide @ (divide @ identity @ X0) @ X2) @
% 0.62/0.90 (divide @ (divide @ (divide @ X1 @ X1) @ X1) @ X2)))
% 0.62/0.90 = (X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [single_axiom])).
% 0.62/0.90 thf(zip_derived_cl2, plain,
% 0.62/0.90 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [inverse])).
% 0.62/0.90 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [identity])).
% 0.62/0.90 thf(zip_derived_cl2, plain,
% 0.62/0.90 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [inverse])).
% 0.62/0.90 thf(zip_derived_cl9, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((divide @ X1 @
% 0.62/0.90 (divide @ (divide @ (inverse @ X0) @ X2) @
% 0.62/0.90 (divide @ (inverse @ X1) @ X2)))
% 0.62/0.90 = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl3,
% 0.62/0.90 zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl13, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 0.62/0.90 thf(zip_derived_cl37, plain,
% 0.62/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl13])).
% 0.62/0.90 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [identity])).
% 0.62/0.90 thf(zip_derived_cl9, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((divide @ X1 @
% 0.62/0.90 (divide @ (divide @ (inverse @ X0) @ X2) @
% 0.62/0.90 (divide @ (inverse @ X1) @ X2)))
% 0.62/0.90 = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl3,
% 0.62/0.90 zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl17, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((divide @ X1 @
% 0.62/0.90 (divide @ identity @ (divide @ (inverse @ X1) @ (inverse @ X0))))
% 0.62/0.90 = (X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl2, plain,
% 0.62/0.90 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [inverse])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl22, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl17, zip_derived_cl6, zip_derived_cl2,
% 0.62/0.90 zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl43, plain,
% 0.62/0.90 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl22])).
% 0.62/0.90 thf(zip_derived_cl22, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl17, zip_derived_cl6, zip_derived_cl2,
% 0.62/0.90 zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl50, plain,
% 0.62/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (inverse @ (inverse @ X0)))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl22])).
% 0.62/0.90 thf(zip_derived_cl37, plain,
% 0.62/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl13])).
% 0.62/0.90 thf(zip_derived_cl53, plain,
% 0.62/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl37])).
% 0.62/0.90 thf(zip_derived_cl22, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl17, zip_derived_cl6, zip_derived_cl2,
% 0.62/0.90 zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl61, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl22])).
% 0.62/0.90 thf(zip_derived_cl13, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 0.62/0.90 thf(zip_derived_cl9, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((divide @ X1 @
% 0.62/0.90 (divide @ (divide @ (inverse @ X0) @ X2) @
% 0.62/0.90 (divide @ (inverse @ X1) @ X2)))
% 0.62/0.90 = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl3,
% 0.62/0.90 zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl30, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((divide @ X1 @
% 0.62/0.90 (divide @ (inverse @ X0) @ (divide @ (inverse @ X1) @ identity)))
% 0.62/0.90 = (X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl9])).
% 0.62/0.90 thf(zip_derived_cl13, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl32, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((divide @ X1 @ (multiply @ (inverse @ X0) @ X1)) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl30, zip_derived_cl13, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl129, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl32])).
% 0.62/0.90 thf(zip_derived_cl9, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((divide @ X1 @
% 0.62/0.90 (divide @ (divide @ (inverse @ X0) @ X2) @
% 0.62/0.90 (divide @ (inverse @ X1) @ X2)))
% 0.62/0.90 = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl3,
% 0.62/0.90 zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl9, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((divide @ X1 @
% 0.62/0.90 (divide @ (divide @ (inverse @ X0) @ X2) @
% 0.62/0.90 (divide @ (inverse @ X1) @ X2)))
% 0.62/0.90 = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl3,
% 0.62/0.90 zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl2, plain,
% 0.62/0.90 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [inverse])).
% 0.62/0.90 thf(zip_derived_cl10, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((inverse @
% 0.62/0.90 (divide @ (divide @ (inverse @ X0) @ X1) @
% 0.62/0.90 (divide @ (inverse @ identity) @ X1)))
% 0.62/0.90 = (X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl2, plain,
% 0.62/0.90 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.62/0.90 inference('cnf', [status(esa)], [inverse])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl77, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((inverse @ (multiply @ (divide @ (inverse @ X0) @ X1) @ X1)) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl10, zip_derived_cl5, zip_derived_cl2,
% 0.62/0.90 zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl90, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((inverse @
% 0.62/0.90 (multiply @ X0 @
% 0.62/0.90 (divide @ (divide @ (inverse @ X0) @ X2) @
% 0.62/0.90 (divide @ (inverse @ (inverse @ X1)) @ X2))))
% 0.62/0.90 = (X1))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl77])).
% 0.62/0.90 thf(zip_derived_cl53, plain,
% 0.62/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl37])).
% 0.62/0.90 thf(zip_derived_cl99, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((inverse @
% 0.62/0.90 (multiply @ X0 @
% 0.62/0.90 (divide @ (divide @ (inverse @ X0) @ X2) @ (divide @ X1 @ X2))))
% 0.62/0.90 = (X1))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl53])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl129, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl32])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl141, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl53, plain,
% 0.62/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl37])).
% 0.62/0.90 thf(zip_derived_cl6, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.62/0.90 thf(zip_derived_cl59, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl149, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl59])).
% 0.62/0.90 thf(zip_derived_cl218, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl149])).
% 0.62/0.90 thf(zip_derived_cl53, plain,
% 0.62/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl37])).
% 0.62/0.90 thf(zip_derived_cl32, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((divide @ X1 @ (multiply @ (inverse @ X0) @ X1)) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl30, zip_derived_cl13, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl132, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((divide @ X1 @ (multiply @ X0 @ X1)) = (inverse @ X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl32])).
% 0.62/0.90 thf(zip_derived_cl258, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((divide @ (inverse @ X1) @ X0) = (inverse @ (multiply @ X0 @ X1)))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl132])).
% 0.62/0.90 thf(zip_derived_cl258, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((divide @ (inverse @ X1) @ X0) = (inverse @ (multiply @ X0 @ X1)))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl132])).
% 0.62/0.90 thf(zip_derived_cl59, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 0.62/0.90 thf(zip_derived_cl149, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl59])).
% 0.62/0.90 thf(zip_derived_cl132, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((divide @ X1 @ (multiply @ X0 @ X1)) = (inverse @ X0))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl32])).
% 0.62/0.90 thf(zip_derived_cl256, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]:
% 0.62/0.90 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl132])).
% 0.62/0.90 thf(zip_derived_cl969, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((divide @ (multiply @ (divide @ X1 @ X2) @ (multiply @ X2 @ X0)) @ X0)
% 0.62/0.90 = (X1))),
% 0.62/0.90 inference('demod', [status(thm)],
% 0.62/0.90 [zip_derived_cl99, zip_derived_cl258, zip_derived_cl258,
% 0.62/0.90 zip_derived_cl59, zip_derived_cl256])).
% 0.62/0.90 thf(zip_derived_cl149, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl59])).
% 0.62/0.90 thf(zip_derived_cl970, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((multiply @ X0 @ X1)
% 0.62/0.90 = (multiply @ (divide @ X0 @ X2) @ (multiply @ X2 @ X1)))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl969, zip_derived_cl149])).
% 0.62/0.90 thf(zip_derived_cl1063, plain,
% 0.62/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.62/0.90 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 0.62/0.90 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 0.62/0.90 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl970])).
% 0.62/0.90 thf(zip_derived_cl1086, plain,
% 0.62/0.90 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 0.62/0.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.62/0.90 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl1063])).
% 0.62/0.90 thf(zip_derived_cl1087, plain, ($false),
% 0.62/0.90 inference('simplify', [status(thm)], [zip_derived_cl1086])).
% 0.62/0.90
% 0.62/0.90 % SZS output end Refutation
% 0.62/0.90
% 0.62/0.90
% 0.62/0.91 % Terminating...
% 1.58/1.00 % Runner terminated.
% 1.58/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------