%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP603-1 : 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.oJGriy4vZN true
% Computer : n004.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 04:36:45 PM UTC 2025
% Result : Unsatisfiable 1.19s 1.02s
% Output : Refutation 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP603-1 : TPTP v9.2.0. Released v2.6.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oJGriy4vZN true
% 0.10/0.30 % Computer : n004.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 14:27:53 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.16/0.55 % Total configuration time : 435
% 0.16/0.55 % Estimated wc time : 1092
% 0.16/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.94/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.94/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.94/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.94/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.94/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.94/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.94/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.19/1.02 % Solved by fo/fo7.sh.
% 1.19/1.02 % done 71 iterations in 0.334s
% 1.19/1.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.19/1.02 % SZS output start Refutation
% 1.19/1.02 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.19/1.02 thf(b3_type, type, b3: $i).
% 1.19/1.02 thf(inverse_type, type, inverse: $i > $i).
% 1.19/1.02 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.19/1.02 thf(a3_type, type, a3: $i).
% 1.19/1.02 thf(c3_type, type, c3: $i).
% 1.19/1.02 thf(single_axiom, axiom,
% 1.19/1.02 (( inverse @
% 1.19/1.02 ( double_divide @
% 1.19/1.02 ( inverse @
% 1.19/1.02 ( double_divide @
% 1.19/1.02 A @
% 1.19/1.02 ( inverse @ ( double_divide @ B @ ( double_divide @ A @ C ) ) ) ) ) @
% 1.19/1.02 C ) ) =
% 1.19/1.02 ( B ))).
% 1.19/1.02 thf(zip_derived_cl0, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 1.19/1.02 X2))
% 1.19/1.02 = (X0))),
% 1.19/1.02 inference('cnf', [status(esa)], [single_axiom])).
% 1.19/1.02 thf(zip_derived_cl0, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 1.19/1.02 X2))
% 1.19/1.02 = (X0))),
% 1.19/1.02 inference('cnf', [status(esa)], [single_axiom])).
% 1.19/1.02 thf(zip_derived_cl4, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1))
% 1.19/1.02 = (inverse @
% 1.19/1.02 (double_divide @ X3 @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ X0 @
% 1.19/1.02 (double_divide @ X3 @ (double_divide @ X2 @ X1)))))))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.19/1.02 thf(zip_derived_cl0, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 1.19/1.02 X2))
% 1.19/1.02 = (X0))),
% 1.19/1.02 inference('cnf', [status(esa)], [single_axiom])).
% 1.19/1.02 thf(zip_derived_cl7, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 1.19/1.02 (double_divide @ X2 @ X0)))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.19/1.02 thf(zip_derived_cl7, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 1.19/1.02 (double_divide @ X2 @ X0)))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.19/1.02 thf(zip_derived_cl29, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X0 @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 1.19/1.02 (double_divide @ X2 @ X1))))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl7, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 1.19/1.02 (double_divide @ X2 @ X0)))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.19/1.02 thf(zip_derived_cl42, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 1.19/1.02 (double_divide @ X2 @ X3)))
% 1.19/1.02 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 1.19/1.02 (double_divide @ X1 @ X0)))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl7, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 1.19/1.02 (double_divide @ X2 @ X0)))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.19/1.02 thf(zip_derived_cl128, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 1.19/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 1.19/1.02 X0))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl42, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 1.19/1.02 (double_divide @ X2 @ X3)))
% 1.19/1.02 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 1.19/1.02 (double_divide @ X1 @ X0)))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl128, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 1.19/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 1.19/1.02 X0))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl42, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 1.19/1.02 (double_divide @ X2 @ X3)))
% 1.19/1.02 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 1.19/1.02 (double_divide @ X1 @ X0)))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl128, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 1.19/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 1.19/1.02 X0))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl42, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 1.19/1.02 (double_divide @ X2 @ X3)))
% 1.19/1.02 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 1.19/1.02 (double_divide @ X1 @ X0)))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl42, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 1.19/1.02 (double_divide @ X2 @ X3)))
% 1.19/1.02 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 1.19/1.02 (double_divide @ X1 @ X0)))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl29, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X0 @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 1.19/1.02 (double_divide @ X2 @ X1))))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl113, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 1.19/1.02 (double_divide @ X1 @ X0)))))
% 1.19/1.02 = (X2))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl29])).
% 1.19/1.02 thf(zip_derived_cl256, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X2 @
% 1.19/1.02 (inverse @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @
% 1.19/1.02 (double_divide @ X1 @ X0))))))
% 1.19/1.02 = (X2))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl113])).
% 1.19/1.02 thf(zip_derived_cl439, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X3 @ X2)) @
% 1.19/1.02 (double_divide @ X3 @ (inverse @ (double_divide @ X2 @ X0))))) @
% 1.19/1.02 X0)))))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl256])).
% 1.19/1.02 thf(zip_derived_cl128, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 1.19/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 1.19/1.02 X0))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl454, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @ (inverse @ (double_divide @ (inverse @ X0) @ X0)))))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('demod', [status(thm)], [zip_derived_cl439, zip_derived_cl128])).
% 1.19/1.02 thf(zip_derived_cl502, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X2 @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @
% 1.19/1.02 (double_divide @ X1 @ X0)))))
% 1.19/1.02 = (X2))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl454])).
% 1.19/1.02 thf(zip_derived_cl628, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X3 @ X2)) @
% 1.19/1.02 (double_divide @ X3 @ (inverse @ (double_divide @ X2 @ X0))))) @
% 1.19/1.02 X0))))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl502])).
% 1.19/1.02 thf(zip_derived_cl128, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 1.19/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 1.19/1.02 X0))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl645, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @ (double_divide @ (inverse @ X0) @ X0))))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('demod', [status(thm)], [zip_derived_cl628, zip_derived_cl128])).
% 1.19/1.02 thf(zip_derived_cl703, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X2 @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @
% 1.19/1.02 (double_divide @ X1 @ X0))))
% 1.19/1.02 = (X2))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl645])).
% 1.19/1.02 thf(zip_derived_cl832, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X3 @ X2)) @
% 1.19/1.02 (double_divide @ X3 @ (inverse @ (double_divide @ X2 @ X0))))) @
% 1.19/1.02 X0)))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl703])).
% 1.19/1.02 thf(zip_derived_cl128, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 1.19/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 1.19/1.02 X0))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl852, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X1 @ (double_divide @ (inverse @ X0) @ X0))) = (
% 1.19/1.02 X1))),
% 1.19/1.02 inference('demod', [status(thm)], [zip_derived_cl832, zip_derived_cl128])).
% 1.19/1.02 thf(zip_derived_cl0, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 1.19/1.02 X2))
% 1.19/1.02 = (X0))),
% 1.19/1.02 inference('cnf', [status(esa)], [single_axiom])).
% 1.19/1.02 thf(zip_derived_cl878, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @ (double_divide @ (inverse @ X1) @ X0)) @ X1))
% 1.19/1.02 = (X0))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl852, zip_derived_cl0])).
% 1.19/1.02 thf(zip_derived_cl878, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @ (double_divide @ (inverse @ X1) @ X0)) @ X1))
% 1.19/1.02 = (X0))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl852, zip_derived_cl0])).
% 1.19/1.02 thf(zip_derived_cl959, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))) = (
% 1.19/1.02 X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl878, zip_derived_cl878])).
% 1.19/1.02 thf(zip_derived_cl29, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X0 @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 1.19/1.02 (double_divide @ X2 @ X1))))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl42, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 1.19/1.02 (double_divide @ X2 @ X3)))
% 1.19/1.02 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 1.19/1.02 (double_divide @ X1 @ X0)))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 1.19/1.02 thf(zip_derived_cl4, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1))
% 1.19/1.02 = (inverse @
% 1.19/1.02 (double_divide @ X3 @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ X0 @
% 1.19/1.02 (double_divide @ X3 @ (double_divide @ X2 @ X1)))))))),
% 1.19/1.02 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.19/1.02 thf(prove_these_axioms_3, conjecture,
% 1.19/1.02 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 1.19/1.02 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 1.19/1.02 thf(zf_stmt_0, negated_conjecture,
% 1.19/1.02 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.19/1.02 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 1.19/1.02 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 1.19/1.02 thf(zip_derived_cl2, plain,
% 1.19/1.02 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.19/1.02 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.19/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.19/1.02 thf(multiply, axiom,
% 1.19/1.02 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 1.19/1.02 thf(zip_derived_cl1, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.19/1.02 inference('cnf', [status(esa)], [multiply])).
% 1.19/1.02 thf(zip_derived_cl1, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.19/1.02 inference('cnf', [status(esa)], [multiply])).
% 1.19/1.02 thf(zip_derived_cl1, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.19/1.02 inference('cnf', [status(esa)], [multiply])).
% 1.19/1.02 thf(zip_derived_cl1, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.19/1.02 inference('cnf', [status(esa)], [multiply])).
% 1.19/1.02 thf(zip_derived_cl3, plain,
% 1.19/1.02 (((inverse @ (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3))))
% 1.19/1.02 != (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ c3 @ b3)) @ a3)))),
% 1.19/1.02 inference('demod', [status(thm)],
% 1.19/1.02 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 1.19/1.02 zip_derived_cl1, zip_derived_cl1])).
% 1.19/1.02 thf(zip_derived_cl16, plain,
% 1.19/1.02 (![X0 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3))))
% 1.19/1.02 != (inverse @
% 1.19/1.02 (double_divide @ X0 @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ b3 @
% 1.19/1.02 (double_divide @ X0 @ (double_divide @ c3 @ a3)))))))),
% 1.19/1.02 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.19/1.02 thf(zip_derived_cl106, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3))))
% 1.19/1.02 != (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ c3 @ X1)) @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ b3 @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ (inverse @ (double_divide @ a3 @ X0)) @
% 1.19/1.02 (double_divide @ X1 @ X0))))))))),
% 1.19/1.02 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl16])).
% 1.19/1.02 thf(zip_derived_cl165, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3))))
% 1.19/1.02 != (inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ c3 @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @ (double_divide @ a3 @ (double_divide @ X1 @ X0))))))) @
% 1.19/1.02 (inverse @ (double_divide @ b3 @ X0)))))),
% 1.19/1.02 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl106])).
% 1.19/1.02 thf(zip_derived_cl1031, plain,
% 1.19/1.02 (![X0 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3))))
% 1.19/1.02 != (inverse @
% 1.19/1.02 (double_divide @
% 1.19/1.02 (inverse @
% 1.19/1.02 (double_divide @ c3 @
% 1.19/1.02 (inverse @ (double_divide @ (inverse @ X0) @ X0)))) @
% 1.19/1.02 (inverse @ (double_divide @ b3 @ a3)))))),
% 1.19/1.02 inference('sup-', [status(thm)], [zip_derived_cl959, zip_derived_cl165])).
% 1.19/1.02 thf(zip_derived_cl645, plain,
% 1.19/1.02 (![X0 : $i, X1 : $i]:
% 1.19/1.02 ((inverse @
% 1.19/1.02 (double_divide @ X1 @
% 1.19/1.02 (inverse @ (double_divide @ (inverse @ X0) @ X0))))
% 1.19/1.02 = (X1))),
% 1.19/1.02 inference('demod', [status(thm)], [zip_derived_cl628, zip_derived_cl128])).
% 1.19/1.02 thf(zip_derived_cl1058, plain,
% 1.19/1.02 (((inverse @ (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3))))
% 1.19/1.02 != (inverse @
% 1.19/1.02 (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3)))))),
% 1.19/1.02 inference('demod', [status(thm)], [zip_derived_cl1031, zip_derived_cl645])).
% 1.19/1.02 thf(zip_derived_cl1059, plain, ($false),
% 1.19/1.02 inference('simplify', [status(thm)], [zip_derived_cl1058])).
% 1.19/1.02
% 1.19/1.02 % SZS output end Refutation
% 1.19/1.02
% 1.19/1.02
% 1.19/1.02 % Terminating...
% 1.19/1.07 % Runner terminated.
% 1.71/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------