%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO074-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9nMluRb4r8 true
% Computer : n029.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 Oct 2 04:29:52 PM UTC 2025
% Result : Unsatisfiable 24.58s 4.14s
% Output : Refutation 24.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO074-1 : TPTP v9.2.0. Released v2.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9nMluRb4r8 true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:55:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 24.58/4.14 % Solved by fo/fo4.sh.
% 24.58/4.14 % done 329 iterations in 3.329s
% 24.58/4.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 24.58/4.14 % SZS output start Refutation
% 24.58/4.14 thf(a_type, type, a: $i).
% 24.58/4.14 thf(b_type, type, b: $i).
% 24.58/4.14 thf(inverse_type, type, inverse: $i > $i).
% 24.58/4.14 thf(add_type, type, add: $i > $i > $i).
% 24.58/4.14 thf(huntinton_3, conjecture,
% 24.58/4.14 (( add @
% 24.58/4.14 ( inverse @ ( add @ ( inverse @ a ) @ b ) ) @
% 24.58/4.14 ( inverse @ ( add @ ( inverse @ a ) @ ( inverse @ b ) ) ) ) =
% 24.58/4.14 ( a ))).
% 24.58/4.14 thf(zf_stmt_0, negated_conjecture,
% 24.58/4.14 (( add @
% 24.58/4.14 ( inverse @ ( add @ ( inverse @ a ) @ b ) ) @
% 24.58/4.14 ( inverse @ ( add @ ( inverse @ a ) @ ( inverse @ b ) ) ) ) !=
% 24.58/4.14 ( a )),
% 24.58/4.14 inference('cnf.neg', [status(esa)], [huntinton_3])).
% 24.58/4.14 thf(zip_derived_cl1, plain,
% 24.58/4.14 (((add @ (inverse @ (add @ (inverse @ a) @ b)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ a) @ (inverse @ b)))) != (a))),
% 24.58/4.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 24.58/4.14 thf(dn1, axiom,
% 24.58/4.14 (( inverse @
% 24.58/4.14 ( add @
% 24.58/4.14 ( inverse @ ( add @ ( inverse @ ( add @ A @ B ) ) @ C ) ) @
% 24.58/4.14 ( inverse @
% 24.58/4.14 ( add @
% 24.58/4.14 A @
% 24.58/4.14 ( inverse @
% 24.58/4.14 ( add @ ( inverse @ C ) @ ( inverse @ ( add @ C @ D ) ) ) ) ) ) ) ) =
% 24.58/4.14 ( C ))).
% 24.58/4.14 thf(zip_derived_cl0, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X1 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('cnf', [status(esa)], [dn1])).
% 24.58/4.14 thf(zip_derived_cl0, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X1 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('cnf', [status(esa)], [dn1])).
% 24.58/4.14 thf(zip_derived_cl0, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X1 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('cnf', [status(esa)], [dn1])).
% 24.58/4.14 thf(zip_derived_cl5, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (inverse @ X0)) @ X2)) @
% 24.58/4.14 X0)) @
% 24.58/4.14 X3)) @
% 24.58/4.14 (inverse @ X0))) @
% 24.58/4.14 X0))
% 24.58/4.14 = (inverse @ X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl21, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @ (add @ (inverse @ (add @ X0 @ (inverse @ X0))) @ X0))
% 24.58/4.14 = (inverse @ X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 24.58/4.14 thf(zip_derived_cl21, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @ (add @ (inverse @ (add @ X0 @ (inverse @ X0))) @ X0))
% 24.58/4.14 = (inverse @ X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 24.58/4.14 thf(zip_derived_cl0, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X1 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('cnf', [status(esa)], [dn1])).
% 24.58/4.14 thf(zip_derived_cl37, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ X0) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl37, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ X0) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl0, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X1 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('cnf', [status(esa)], [dn1])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl143, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ X0 @ X1)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ X1))))
% 24.58/4.14 = (X1))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl384, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (add @ X0 @ (inverse @ X0)) @ X0)) @
% 24.58/4.14 (inverse @ X0)))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl143])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl452, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (add @ X0 @ (inverse @ X0)) @ (inverse @ X0)))))
% 24.58/4.14 = (inverse @ X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl525, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ X0) @ X1)) @
% 24.58/4.14 (inverse @ (add @ X0 @ X1))))
% 24.58/4.14 = (X1))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl452, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl632, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0))))))
% 24.58/4.14 = (inverse @ (add @ X1 @ X0)))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl452, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (add @ X0 @ (inverse @ X0)) @ (inverse @ X0)))))
% 24.58/4.14 = (inverse @ X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl37, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ X0) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl528, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ X0) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X0 @ (inverse @ (add @ (inverse @ X0) @ (inverse @ X0)))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl452, zip_derived_cl37])).
% 24.58/4.14 thf(zip_derived_cl5, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (inverse @ X0)) @ X2)) @
% 24.58/4.14 X0)) @
% 24.58/4.14 X3)) @
% 24.58/4.14 (inverse @ X0))) @
% 24.58/4.14 X0))
% 24.58/4.14 = (inverse @ X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl143, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ X0 @ X1)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ X1))))
% 24.58/4.14 = (X1))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl366, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ X0 @ X1)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ (add @ X2 @ X0)) @ X1))))
% 24.58/4.14 = (X1))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl2466, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ X0) @ X0)) @ (inverse @ X0)))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl366])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl2629, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ X0 @ (inverse @ (add @ (inverse @ X0) @ (inverse @ X0)))))
% 24.58/4.14 = (inverse @ X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl2466, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl2780, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (add @ (inverse @ X0) @ (inverse @ X0))) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)], [zip_derived_cl528, zip_derived_cl2629])).
% 24.58/4.14 thf(zip_derived_cl3053, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0)))))) @
% 24.58/4.14 (inverse @ (add @ X1 @ X0))))
% 24.58/4.14 = (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0))))))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl2780])).
% 24.58/4.14 thf(zip_derived_cl632, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0))))))
% 24.58/4.14 = (inverse @ (add @ X1 @ X0)))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl2780, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (add @ (inverse @ X0) @ (inverse @ X0))) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)], [zip_derived_cl528, zip_derived_cl2629])).
% 24.58/4.14 thf(zip_derived_cl3107, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((add @ X1 @ X0)
% 24.58/4.14 = (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0))))))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl3053, zip_derived_cl632, zip_derived_cl2780])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl0, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X1 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('cnf', [status(esa)], [dn1])).
% 24.58/4.14 thf(zip_derived_cl0, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X2)) @ X0)) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X1 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X3))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('cnf', [status(esa)], [dn1])).
% 24.58/4.14 thf(zip_derived_cl3, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ X0 @ X1)) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X4 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X2))))))))
% 24.58/4.14 = (X1))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl1850, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X1 @ X0)) @ X1)) @
% 24.58/4.14 (inverse @ (add @ X1 @ X0))))
% 24.58/4.14 = (X1))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl3])).
% 24.58/4.14 thf(zip_derived_cl37, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ X0) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl37, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ X0) @
% 24.58/4.14 (inverse @
% 24.58/4.14 (add @ X0 @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X1))))))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl60, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl37])).
% 24.58/4.14 thf(zip_derived_cl2780, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (add @ (inverse @ X0) @ (inverse @ X0))) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)], [zip_derived_cl528, zip_derived_cl2629])).
% 24.58/4.14 thf(zip_derived_cl60, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X0 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl37])).
% 24.58/4.14 thf(zip_derived_cl143, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ X0 @ X1)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ X1))))
% 24.58/4.14 = (X1))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl389, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ X0 @ (inverse @ (add @ X0 @ X0)))) @ X0))
% 24.58/4.14 = (inverse @ (add @ X0 @ X0)))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl143])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl1101, plain,
% 24.58/4.14 (![X0 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ X0 @ X0)) @ (inverse @ (add @ X0 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl389, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl3051, plain, (![X0 : $i]: ((add @ X0 @ X0) = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl2780, zip_derived_cl1101])).
% 24.58/4.14 thf(zip_derived_cl3051, plain, (![X0 : $i]: ((add @ X0 @ X0) = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl2780, zip_derived_cl1101])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl143, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ X0 @ X1)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ X0) @ X1))))
% 24.58/4.14 = (X1))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl3283, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ X0)
% 24.58/4.14 = (add @ (inverse @ (add @ X1 @ X0)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ X1) @ X0))))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl3051, plain, (![X0 : $i]: ((add @ X0 @ X0) = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl2780, zip_derived_cl1101])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl3221, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X0 @ X1)) @ X0)) @
% 24.58/4.14 (inverse @ X0)))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl3051, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl5531, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ (add @ X0 @ (inverse @ (inverse @ (add @ X1 @ X0)))))
% 24.58/4.14 = (inverse @ (add @ X1 @ X0)))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl3221])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl5561, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ (add @ X0 @ (add @ X1 @ X0)))
% 24.58/4.14 = (inverse @ (add @ X1 @ X0)))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl5531, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl5714, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ X1) @ X0)) @ (inverse @ X0)))
% 24.58/4.14 = (inverse @
% 24.58/4.14 (add @ (inverse @ (add @ X1 @ X0)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ X1) @ X0)))))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl3283, zip_derived_cl5561])).
% 24.58/4.14 thf(zip_derived_cl3283, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ X0)
% 24.58/4.14 = (add @ (inverse @ (add @ X1 @ X0)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ X1) @ X0))))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl5723, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ X1) @ X0)) @ (inverse @ X0)))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl5714, zip_derived_cl3283, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl5723, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ X1) @ X0)) @ (inverse @ X0)))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl5714, zip_derived_cl3283, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl5872, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ (add @ (inverse @ (add @ X0 @ X1)) @ (inverse @ X1)))
% 24.58/4.14 = (X1))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl5723, zip_derived_cl5723])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl6067, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ X0) = (add @ (inverse @ (add @ X1 @ X0)) @ (inverse @ X0)))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl6300, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ (inverse @ X0))
% 24.58/4.14 = (add @ (inverse @ (add @ X1 @ (inverse @ X0))) @ X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl3196, zip_derived_cl6067])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl6337, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((X0) = (add @ (inverse @ (add @ X1 @ (inverse @ X0))) @ X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl6300, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl59, plain,
% 24.58/4.14 (![X0 : $i, X2 : $i, X3 : $i]:
% 24.58/4.14 ((inverse @
% 24.58/4.14 (add @ (inverse @ (add @ (inverse @ (add @ X2 @ X3)) @ X0)) @
% 24.58/4.14 (inverse @ (add @ X2 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 24.58/4.14 thf(zip_derived_cl6461, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ (add @ (inverse @ X0) @ (inverse @ (add @ X1 @ X0))))
% 24.58/4.14 = (X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl6337, zip_derived_cl59])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl6553, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ X0) = (add @ (inverse @ X0) @ (inverse @ (add @ X1 @ X0))))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl6461, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl6798, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ (inverse @ X0))
% 24.58/4.14 = (add @ X0 @ (inverse @ (add @ X1 @ (inverse @ X0)))))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl3196, zip_derived_cl6553])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl6825, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((X0) = (add @ X0 @ (inverse @ (add @ X1 @ (inverse @ X0)))))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl6798, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl8412, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]: ((add @ X0 @ X1) = (add @ (add @ X0 @ X1) @ X0))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl1850, zip_derived_cl6825])).
% 24.58/4.14 thf(zip_derived_cl6553, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ X0) = (add @ (inverse @ X0) @ (inverse @ (add @ X1 @ X0))))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl6461, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl8711, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ X1) = (add @ (inverse @ X1) @ (inverse @ (add @ X1 @ X0))))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl8412, zip_derived_cl6553])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl9373, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl3107, zip_derived_cl8711, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl9373, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl3107, zip_derived_cl8711, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl3283, plain,
% 24.58/4.14 (![X0 : $i, X1 : $i]:
% 24.58/4.14 ((inverse @ X0)
% 24.58/4.14 = (add @ (inverse @ (add @ X1 @ X0)) @
% 24.58/4.14 (inverse @ (add @ (inverse @ X1) @ X0))))),
% 24.58/4.14 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl3196, plain,
% 24.58/4.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl60, zip_derived_cl3051, zip_derived_cl3051])).
% 24.58/4.14 thf(zip_derived_cl9473, plain, (((a) != (a))),
% 24.58/4.14 inference('demod', [status(thm)],
% 24.58/4.14 [zip_derived_cl1, zip_derived_cl9373, zip_derived_cl9373,
% 24.58/4.14 zip_derived_cl3283, zip_derived_cl3196])).
% 24.58/4.14 thf(zip_derived_cl9474, plain, ($false),
% 24.58/4.14 inference('simplify', [status(thm)], [zip_derived_cl9473])).
% 24.58/4.14
% 24.58/4.14 % SZS output end Refutation
% 24.58/4.14
% 24.58/4.14
% 24.58/4.15 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 24.58/4.16 % Terminating...
% 25.47/4.33 % Runner terminated.
% 25.47/4.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------