TSTP Solution File: BOO074-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO074-1 : 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.5Tgg4aaRYA 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 : Wed Aug 30 18:13:31 EDT 2023
% Result : Unsatisfiable 15.18s 2.78s
% Output : Refutation 15.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO074-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5Tgg4aaRYA true
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 08:20:42 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 15.18/2.78 % Solved by fo/fo4.sh.
% 15.18/2.78 % done 329 iterations in 1.981s
% 15.18/2.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.18/2.78 % SZS output start Refutation
% 15.18/2.78 thf(a_type, type, a: $i).
% 15.18/2.78 thf(b_type, type, b: $i).
% 15.18/2.78 thf(inverse_type, type, inverse: $i > $i).
% 15.18/2.78 thf(add_type, type, add: $i > $i > $i).
% 15.18/2.78 thf(huntinton_3, conjecture,
% 15.18/2.78 (( add @
% 15.18/2.78 ( inverse @ ( add @ ( inverse @ a ) @ b ) ) @
% 15.18/2.78 ( inverse @ ( add @ ( inverse @ a ) @ ( inverse @ b ) ) ) ) =
% 15.18/2.78 ( a ))).
% 15.18/2.78 thf(zf_stmt_0, negated_conjecture,
% 15.18/2.78 (( add @
% 15.18/2.78 ( inverse @ ( add @ ( inverse @ a ) @ b ) ) @
% 15.18/2.78 ( inverse @ ( add @ ( inverse @ a ) @ ( inverse @ b ) ) ) ) !=
% 15.18/2.78 ( a )),
% 15.18/2.78 inference('cnf.neg', [status(esa)], [huntinton_3])).
% 15.18/2.78 thf(zip_derived_cl1, plain,
% 15.18/2.78 (((add @ (inverse @ (add @ (inverse @ a) @ b)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ a) @ (inverse @ b)))) != (a))),
% 15.18/2.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.18/2.78 thf(dn1, axiom,
% 15.18/2.78 (( inverse @
% 15.18/2.78 ( add @
% 15.18/2.78 ( inverse @ ( add @ ( inverse @ ( add @ A @ B ) ) @ C ) ) @
% 15.18/2.78 ( inverse @
% 15.18/2.78 ( add @
% 15.18/2.78 A @
% 15.18/2.78 ( inverse @
% 15.18/2.78 ( add @ ( inverse @ C ) @ ( inverse @ ( add @ C @ D ) ) ) ) ) ) ) ) =
% 15.18/2.78 ( C ))).
% 15.18/2.78 thf(zip_derived_cl0, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X1 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('cnf', [status(esa)], [dn1])).
% 15.18/2.78 thf(zip_derived_cl0, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X1 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('cnf', [status(esa)], [dn1])).
% 15.18/2.78 thf(zip_derived_cl0, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X1 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('cnf', [status(esa)], [dn1])).
% 15.18/2.78 thf(zip_derived_cl5, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (inverse @ X0)) @ X2)) @
% 15.18/2.78 X0)) @
% 15.18/2.78 X3)) @
% 15.18/2.78 (inverse @ X0))) @
% 15.18/2.78 X0))
% 15.18/2.78 = (inverse @ X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl21, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @ (add @ (inverse @ (add @ X0 @ (inverse @ X0))) @ X0))
% 15.18/2.78 = (inverse @ X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 15.18/2.78 thf(zip_derived_cl21, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @ (add @ (inverse @ (add @ X0 @ (inverse @ X0))) @ X0))
% 15.18/2.78 = (inverse @ X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 15.18/2.78 thf(zip_derived_cl0, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X1 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('cnf', [status(esa)], [dn1])).
% 15.18/2.78 thf(zip_derived_cl37, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ X0) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl37, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ X0) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl0, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X1 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('cnf', [status(esa)], [dn1])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl143, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ X0 @ X1)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ X1))))
% 15.18/2.78 = (X1))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl384, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (add @ X0 @ (inverse @ X0)) @ X0)) @
% 15.18/2.78 (inverse @ X0)))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl143])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl452, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (add @ X0 @ (inverse @ X0)) @ (inverse @ X0)))))
% 15.18/2.78 = (inverse @ X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl525, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ X0) @ X1)) @
% 15.18/2.78 (inverse @ (add @ X0 @ X1))))
% 15.18/2.78 = (X1))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl452, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl632, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0))))))
% 15.18/2.78 = (inverse @ (add @ X1 @ X0)))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl452, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (add @ X0 @ (inverse @ X0)) @ (inverse @ X0)))))
% 15.18/2.78 = (inverse @ X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl37, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ X0) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl528, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ X0) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X0 @ (inverse @ (add @ (inverse @ X0) @ (inverse @ X0)))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl452, zip_derived_cl37])).
% 15.18/2.78 thf(zip_derived_cl5, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (inverse @ X0)) @ X2)) @
% 15.18/2.78 X0)) @
% 15.18/2.78 X3)) @
% 15.18/2.78 (inverse @ X0))) @
% 15.18/2.78 X0))
% 15.18/2.78 = (inverse @ X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl143, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ X0 @ X1)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ X1))))
% 15.18/2.78 = (X1))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl366, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ X0 @ X1)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ (add @ X2 @ X0)) @ X1))))
% 15.18/2.78 = (X1))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl2466, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ X0) @ X0)) @ (inverse @ X0)))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl366])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl2629, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ X0 @ (inverse @ (add @ (inverse @ X0) @ (inverse @ X0)))))
% 15.18/2.78 = (inverse @ X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl2466, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl2780, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (add @ (inverse @ X0) @ (inverse @ X0))) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)], [zip_derived_cl528, zip_derived_cl2629])).
% 15.18/2.78 thf(zip_derived_cl3053, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0)))))) @
% 15.18/2.78 (inverse @ (add @ X1 @ X0))))
% 15.18/2.78 = (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0))))))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl2780])).
% 15.18/2.78 thf(zip_derived_cl632, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0))))))
% 15.18/2.78 = (inverse @ (add @ X1 @ X0)))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl2780, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (add @ (inverse @ X0) @ (inverse @ X0))) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)], [zip_derived_cl528, zip_derived_cl2629])).
% 15.18/2.78 thf(zip_derived_cl3107, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((add @ X1 @ X0)
% 15.18/2.78 = (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0))))))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl3053, zip_derived_cl632, zip_derived_cl2780])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl0, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X1 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('cnf', [status(esa)], [dn1])).
% 15.18/2.78 thf(zip_derived_cl0, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X1 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('cnf', [status(esa)], [dn1])).
% 15.18/2.78 thf(zip_derived_cl3, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ X0 @ X1)) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X4 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X2))))))))
% 15.18/2.78 = (X1))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl1850, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X0)) @ X1)) @
% 15.18/2.78 (inverse @ (add @ X1 @ X0))))
% 15.18/2.78 = (X1))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl3])).
% 15.18/2.78 thf(zip_derived_cl37, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ X0) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl37, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ X0) @
% 15.18/2.78 (inverse @
% 15.18/2.78 (add @ X0 @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl60, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl37])).
% 15.18/2.78 thf(zip_derived_cl2780, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (add @ (inverse @ X0) @ (inverse @ X0))) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)], [zip_derived_cl528, zip_derived_cl2629])).
% 15.18/2.78 thf(zip_derived_cl60, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl37])).
% 15.18/2.78 thf(zip_derived_cl143, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ X0 @ X1)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ X1))))
% 15.18/2.78 = (X1))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl389, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ X0 @ (inverse @ (add @ X0 @ X0)))) @ X0))
% 15.18/2.78 = (inverse @ (add @ X0 @ X0)))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl143])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl1101, plain,
% 15.18/2.78 (![X0 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ X0 @ X0)) @ (inverse @ (add @ X0 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl389, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl3051, plain, (![X0 : $i]: ((add @ X0 @ X0) = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl2780, zip_derived_cl1101])).
% 15.18/2.78 thf(zip_derived_cl3051, plain, (![X0 : $i]: ((add @ X0 @ X0) = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl2780, zip_derived_cl1101])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl143, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ X0 @ X1)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ X0) @ X1))))
% 15.18/2.78 = (X1))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl3283, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ X0)
% 15.18/2.78 = (add @ (inverse @ (add @ X1 @ X0)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ X1) @ X0))))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl3051, plain, (![X0 : $i]: ((add @ X0 @ X0) = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl2780, zip_derived_cl1101])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl3221, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X0 @ X1)) @ X0)) @
% 15.18/2.78 (inverse @ X0)))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl3051, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl5531, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ (add @ X0 @ (inverse @ (inverse @ (add @ X1 @ X0)))))
% 15.18/2.78 = (inverse @ (add @ X1 @ X0)))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl3221])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl5561, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ (add @ X0 @ (add @ X1 @ X0)))
% 15.18/2.78 = (inverse @ (add @ X1 @ X0)))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl5531, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl5714, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ X1) @ X0)) @ (inverse @ X0)))
% 15.18/2.78 = (inverse @
% 15.18/2.78 (add @ (inverse @ (add @ X1 @ X0)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ X1) @ X0)))))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl3283, zip_derived_cl5561])).
% 15.18/2.78 thf(zip_derived_cl3283, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ X0)
% 15.18/2.78 = (add @ (inverse @ (add @ X1 @ X0)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ X1) @ X0))))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl5723, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ X1) @ X0)) @ (inverse @ X0)))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl5714, zip_derived_cl3283, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl5723, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ X1) @ X0)) @ (inverse @ X0)))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl5714, zip_derived_cl3283, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl5872, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ (add @ (inverse @ (add @ X0 @ X1)) @ (inverse @ X1)))
% 15.18/2.78 = (X1))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl5723, zip_derived_cl5723])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl6067, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ X0) = (add @ (inverse @ (add @ X1 @ X0)) @ (inverse @ X0)))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl6300, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ (inverse @ X0))
% 15.18/2.78 = (add @ (inverse @ (add @ X1 @ (inverse @ X0))) @ X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl3196, zip_derived_cl6067])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl6337, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((X0) = (add @ (inverse @ (add @ X1 @ (inverse @ X0))) @ X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl6300, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl59, plain,
% 15.18/2.78 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.18/2.78 ((inverse @
% 15.18/2.78 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 15.18/2.78 (inverse @ (add @ X2 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.18/2.78 thf(zip_derived_cl6461, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X1 @ X0))))
% 15.18/2.78 = (X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl6337, zip_derived_cl59])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl6553, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ X0) = (add @ (inverse @ X0) @ (inverse @ (add @ X1 @ X0))))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl6461, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl6798, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ (inverse @ X0))
% 15.18/2.78 = (add @ X0 @ (inverse @ (add @ X1 @ (inverse @ X0)))))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl3196, zip_derived_cl6553])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl6825, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((X0) = (add @ X0 @ (inverse @ (add @ X1 @ (inverse @ X0)))))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl6798, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl8412, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]: ((add @ X0 @ X1) = (add @ (add @ X0 @ X1) @ X0))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl1850, zip_derived_cl6825])).
% 15.18/2.78 thf(zip_derived_cl6553, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ X0) = (add @ (inverse @ X0) @ (inverse @ (add @ X1 @ X0))))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl6461, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl8711, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ X1) = (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0))))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl8412, zip_derived_cl6553])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl9373, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl3107, zip_derived_cl8711, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl9373, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl3107, zip_derived_cl8711, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl3283, plain,
% 15.18/2.78 (![X0 : $i, X1 : $i]:
% 15.18/2.78 ((inverse @ X0)
% 15.18/2.78 = (add @ (inverse @ (add @ X1 @ X0)) @
% 15.18/2.78 (inverse @ (add @ (inverse @ X1) @ X0))))),
% 15.18/2.78 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl3196, plain,
% 15.18/2.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 15.18/2.78 thf(zip_derived_cl9473, plain, (((a) != (a))),
% 15.18/2.78 inference('demod', [status(thm)],
% 15.18/2.78 [zip_derived_cl1, zip_derived_cl9373, zip_derived_cl9373,
% 15.18/2.78 zip_derived_cl3283, zip_derived_cl3196])).
% 15.18/2.78 thf(zip_derived_cl9474, plain, ($false),
% 15.18/2.78 inference('simplify', [status(thm)], [zip_derived_cl9473])).
% 15.18/2.78
% 15.18/2.78 % SZS output end Refutation
% 15.18/2.78
% 15.18/2.78
% 15.18/2.78 % Terminating...
% 15.56/2.86 % Runner terminated.
% 15.56/2.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------