TSTP Solution File: BOO072-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO072-1 : 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.ic0auPKDRg true
% Computer : n023.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 18:13:30 EDT 2023
% Result : Unsatisfiable 7.13s 1.69s
% Output : Refutation 7.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO072-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ic0auPKDRg true
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 08:34:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.13/1.69 % Solved by fo/fo7.sh.
% 7.13/1.69 % done 400 iterations in 0.888s
% 7.13/1.69 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.13/1.69 % SZS output start Refutation
% 7.13/1.69 thf(b_type, type, b: $i).
% 7.13/1.69 thf(a_type, type, a: $i).
% 7.13/1.69 thf(inverse_type, type, inverse: $i > $i).
% 7.13/1.69 thf(add_type, type, add: $i > $i > $i).
% 7.13/1.69 thf(huntinton_1, conjecture, (( add @ b @ a ) = ( add @ a @ b ))).
% 7.13/1.69 thf(zf_stmt_0, negated_conjecture, (( add @ b @ a ) != ( add @ a @ b )),
% 7.13/1.69 inference('cnf.neg', [status(esa)], [huntinton_1])).
% 7.13/1.69 thf(zip_derived_cl1, plain, (((add @ b @ a) != (add @ a @ b))),
% 7.13/1.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.13/1.69 thf(dn1, axiom,
% 7.13/1.69 (( inverse @
% 7.13/1.69 ( add @
% 7.13/1.69 ( inverse @ ( add @ ( inverse @ ( add @ A @ B ) ) @ C ) ) @
% 7.13/1.69 ( inverse @
% 7.13/1.69 ( add @
% 7.13/1.69 A @
% 7.13/1.69 ( inverse @
% 7.13/1.69 ( add @ ( inverse @ C ) @ ( inverse @ ( add @ C @ D ) ) ) ) ) ) ) ) =
% 7.13/1.69 ( C ))).
% 7.13/1.69 thf(zip_derived_cl0, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X1 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('cnf', [status(esa)], [dn1])).
% 7.13/1.69 thf(zip_derived_cl0, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X1 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('cnf', [status(esa)], [dn1])).
% 7.13/1.69 thf(zip_derived_cl0, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X1 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('cnf', [status(esa)], [dn1])).
% 7.13/1.69 thf(zip_derived_cl5, plain,
% 7.13/1.69 (![X0 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (inverse @ X0)) @ X2)) @
% 7.13/1.69 X0)) @
% 7.13/1.69 X3)) @
% 7.13/1.69 (inverse @ X0))) @
% 7.13/1.69 X0))
% 7.13/1.69 = (inverse @ X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl21, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @ (add @ (inverse @ (add @ X0 @ (inverse @ X0))) @ X0))
% 7.13/1.69 = (inverse @ X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 7.13/1.69 thf(zip_derived_cl0, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X1 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('cnf', [status(esa)], [dn1])).
% 7.13/1.69 thf(zip_derived_cl37, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ X0) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X0 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl37, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ X0) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X0 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl60, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl37])).
% 7.13/1.69 thf(zip_derived_cl60, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl37])).
% 7.13/1.69 thf(zip_derived_cl37, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ X0) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X0 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl37, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ X0) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X0 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl0, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X1 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('cnf', [status(esa)], [dn1])).
% 7.13/1.69 thf(zip_derived_cl59, plain,
% 7.13/1.69 (![X0 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X2 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl143, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ X1)) @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ X1))))
% 7.13/1.69 = (X1))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl175, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ (inverse @ (add @ X0 @ X0)))) @ X0))
% 7.13/1.69 = (inverse @ (add @ X0 @ X0)))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl143])).
% 7.13/1.69 thf(zip_derived_cl59, plain,
% 7.13/1.69 (![X0 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X2 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl273, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ X0)) @ (inverse @ (add @ X0 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl143, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ X1)) @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ X1))))
% 7.13/1.69 = (X1))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl59, plain,
% 7.13/1.69 (![X0 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X2 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl167, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ X0 @
% 7.13/1.69 (inverse @ (add @ X1 @ (inverse @ (add @ (inverse @ X1) @ X0))))))
% 7.13/1.69 = (inverse @ (add @ (inverse @ X1) @ X0)))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl418, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ X0)) @
% 7.13/1.69 (inverse @ (add @ (add @ X0 @ X0) @ X0))))
% 7.13/1.69 = (inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ X0)) @ (inverse @ (add @ X0 @ X0)))))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl273, zip_derived_cl167])).
% 7.13/1.69 thf(zip_derived_cl273, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ X0)) @ (inverse @ (add @ X0 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl444, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ X0)) @
% 7.13/1.69 (inverse @ (add @ (add @ X0 @ X0) @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl418, zip_derived_cl273])).
% 7.13/1.69 thf(zip_derived_cl37, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ X0) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X0 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl779, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ X0)) @
% 7.13/1.69 (inverse @ (add @ (add @ X0 @ X0) @ X0))))
% 7.13/1.69 = (add @ X0 @ X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl444, zip_derived_cl37])).
% 7.13/1.69 thf(zip_derived_cl444, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ X0)) @
% 7.13/1.69 (inverse @ (add @ (add @ X0 @ X0) @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl418, zip_derived_cl273])).
% 7.13/1.69 thf(zip_derived_cl796, plain, (![X0 : $i]: ((X0) = (add @ X0 @ X0))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl779, zip_derived_cl444])).
% 7.13/1.69 thf(zip_derived_cl796, plain, (![X0 : $i]: ((X0) = (add @ X0 @ X0))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl779, zip_derived_cl444])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl167, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ X0 @
% 7.13/1.69 (inverse @ (add @ X1 @ (inverse @ (add @ (inverse @ X1) @ X0))))))
% 7.13/1.69 = (inverse @ (add @ (inverse @ X1) @ X0)))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl837, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ (inverse @ (add @ (inverse @ X1) @ X0)))
% 7.13/1.69 = (add @ X0 @
% 7.13/1.69 (inverse @ (add @ X1 @ (inverse @ (add @ (inverse @ X1) @ X0))))))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl847, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((add @ (inverse @ X1) @ X0)
% 7.13/1.69 = (add @ X0 @
% 7.13/1.69 (inverse @ (add @ X1 @ (inverse @ (add @ (inverse @ X1) @ X0))))))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl837, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl847, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((add @ (inverse @ X1) @ X0)
% 7.13/1.69 = (add @ X0 @
% 7.13/1.69 (inverse @ (add @ X1 @ (inverse @ (add @ (inverse @ X1) @ X0))))))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl837, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl1645, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((add @ (inverse @ (inverse @ X0)) @ X1)
% 7.13/1.69 = (add @ X1 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl797, zip_derived_cl847])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl1665, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((add @ X0 @ X1)
% 7.13/1.69 = (add @ X1 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl1645, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl0, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 7.13/1.69 (inverse @
% 7.13/1.69 (add @ X1 @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('cnf', [status(esa)], [dn1])).
% 7.13/1.69 thf(zip_derived_cl1795, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X0 @ X2)) @ X1)) @
% 7.13/1.69 (inverse @ (add @ X1 @ X0))))
% 7.13/1.69 = (X1))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl1665, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl21, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @ (add @ (inverse @ (add @ X0 @ (inverse @ X0))) @ X0))
% 7.13/1.69 = (inverse @ X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 7.13/1.69 thf(zip_derived_cl143, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ X0 @ X1)) @
% 7.13/1.69 (inverse @ (add @ (inverse @ X0) @ X1))))
% 7.13/1.69 = (X1))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl171, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (add @ X0 @ (inverse @ X0)) @ X0)) @
% 7.13/1.69 (inverse @ X0)))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl143])).
% 7.13/1.69 thf(zip_derived_cl59, plain,
% 7.13/1.69 (![X0 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X2 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl214, plain,
% 7.13/1.69 (![X0 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ X0 @
% 7.13/1.69 (inverse @ (add @ (add @ X0 @ (inverse @ X0)) @ (inverse @ X0)))))
% 7.13/1.69 = (inverse @ X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl59, plain,
% 7.13/1.69 (![X0 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X2 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl482, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ X0) @ X1)) @
% 7.13/1.69 (inverse @ (add @ X0 @ X1))))
% 7.13/1.69 = (X1))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl845, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ X0)
% 7.13/1.69 = (add @ (inverse @ (add @ (inverse @ X1) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X1 @ X0))))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl59, plain,
% 7.13/1.69 (![X0 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X2 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl796, plain, (![X0 : $i]: ((X0) = (add @ X0 @ X0))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl779, zip_derived_cl444])).
% 7.13/1.69 thf(zip_derived_cl59, plain,
% 7.13/1.69 (![X0 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X2 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl809, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X0 @ X1)) @ X0)) @
% 7.13/1.69 (inverse @ X0)))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl796, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl1923, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ (add @ X0 @ (inverse @ (inverse @ (add @ X1 @ X0)))))
% 7.13/1.69 = (inverse @ (add @ X1 @ X0)))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl809])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl1950, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ (add @ X0 @ (add @ X1 @ X0)))
% 7.13/1.69 = (inverse @ (add @ X1 @ X0)))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl1923, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl2010, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ (inverse @ (add @ X1 @ X0)))
% 7.13/1.69 = (add @ X0 @ (add @ X1 @ X0)))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl1950, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl2091, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ (add @ X1 @ X0)))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl2010, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl2145, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((add @ (inverse @ (add @ (inverse @ X1) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X1 @ X0)))
% 7.13/1.69 = (add @ (inverse @ (add @ X1 @ X0)) @ (inverse @ X0)))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl845, zip_derived_cl2091])).
% 7.13/1.69 thf(zip_derived_cl845, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ X0)
% 7.13/1.69 = (add @ (inverse @ (add @ (inverse @ X1) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X1 @ X0))))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl2164, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ X0) = (add @ (inverse @ (add @ X1 @ X0)) @ (inverse @ X0)))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl2145, zip_derived_cl845])).
% 7.13/1.69 thf(zip_derived_cl2187, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ (inverse @ X0))
% 7.13/1.69 = (add @ (inverse @ (add @ X1 @ (inverse @ X0))) @ X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl797, zip_derived_cl2164])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl2211, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((X0) = (add @ (inverse @ (add @ X1 @ (inverse @ X0))) @ X0))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl2187, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl59, plain,
% 7.13/1.69 (![X0 : $i, X2 : $i, X3 : $i]:
% 7.13/1.69 ((inverse @
% 7.13/1.69 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 7.13/1.69 (inverse @ (add @ X2 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 7.13/1.69 thf(zip_derived_cl2261, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X1 @ X0))))
% 7.13/1.69 = (X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl2211, zip_derived_cl59])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl2306, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ X0) = (add @ (inverse @ X0) @ (inverse @ (add @ X1 @ X0))))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl2261, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl2590, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((inverse @ (inverse @ X0))
% 7.13/1.69 = (add @ X0 @ (inverse @ (add @ X1 @ (inverse @ X0)))))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl797, zip_derived_cl2306])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl2605, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((X0) = (add @ X0 @ (inverse @ (add @ X1 @ (inverse @ X0)))))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl2590, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl4806, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]: ((add @ X0 @ X1) = (add @ (add @ X0 @ X1) @ X0))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl1795, zip_derived_cl2605])).
% 7.13/1.69 thf(zip_derived_cl2605, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((X0) = (add @ X0 @ (inverse @ (add @ X1 @ (inverse @ X0)))))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl2590, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl5012, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((X1) = (add @ X1 @ (inverse @ (add @ (inverse @ X1) @ X0))))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl4806, zip_derived_cl2605])).
% 7.13/1.69 thf(zip_derived_cl5446, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((add @ (inverse @ X1) @ X0) = (add @ X0 @ (inverse @ X1)))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl847, zip_derived_cl5012])).
% 7.13/1.69 thf(zip_derived_cl5688, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]:
% 7.13/1.69 ((add @ X0 @ X1) = (add @ X1 @ (inverse @ (inverse @ X0))))),
% 7.13/1.69 inference('sup+', [status(thm)], [zip_derived_cl797, zip_derived_cl5446])).
% 7.13/1.69 thf(zip_derived_cl797, plain,
% 7.13/1.69 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.13/1.69 inference('demod', [status(thm)],
% 7.13/1.69 [zip_derived_cl60, zip_derived_cl796, zip_derived_cl796])).
% 7.13/1.69 thf(zip_derived_cl5694, plain,
% 7.13/1.69 (![X0 : $i, X1 : $i]: ((add @ X0 @ X1) = (add @ X1 @ X0))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl5688, zip_derived_cl797])).
% 7.13/1.69 thf(zip_derived_cl5730, plain, (((add @ b @ a) != (add @ b @ a))),
% 7.13/1.69 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl5694])).
% 7.13/1.69 thf(zip_derived_cl5731, plain, ($false),
% 7.13/1.69 inference('simplify', [status(thm)], [zip_derived_cl5730])).
% 7.13/1.69
% 7.13/1.69 % SZS output end Refutation
% 7.13/1.69
% 7.13/1.69
% 7.13/1.69 % Terminating...
% 7.80/1.77 % Runner terminated.
% 7.80/1.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------