%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP480-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8sdZpG4l6J true
% Computer : n025.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 04:36:31 PM UTC 2025
% Result : Unsatisfiable 38.88s 6.13s
% Output : Refutation 38.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP480-1 : TPTP v9.2.0. Released v2.6.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8sdZpG4l6J true
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 14:25:53 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.32 % Running in FO mode
% 0.47/0.57 % Total configuration time : 435
% 0.47/0.57 % Estimated wc time : 1092
% 0.47/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 38.88/6.13 % Solved by fo/fo7.sh.
% 38.88/6.13 % done 1655 iterations in 5.398s
% 38.88/6.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 38.88/6.13 % SZS output start Refutation
% 38.88/6.13 thf(a3_type, type, a3: $i).
% 38.88/6.13 thf(multiply_type, type, multiply: $i > $i > $i).
% 38.88/6.13 thf(inverse_type, type, inverse: $i > $i).
% 38.88/6.13 thf(c3_type, type, c3: $i).
% 38.88/6.13 thf(divide_type, type, divide: $i > $i > $i).
% 38.88/6.13 thf(b3_type, type, b3: $i).
% 38.88/6.13 thf(single_axiom, axiom,
% 38.88/6.13 (( divide @
% 38.88/6.13 ( inverse @
% 38.88/6.13 ( divide @
% 38.88/6.13 ( divide @ ( divide @ A @ A ) @ B ) @
% 38.88/6.13 ( divide @ C @ ( divide @ B @ D ) ) ) ) @
% 38.88/6.13 D ) =
% 38.88/6.13 ( C ))).
% 38.88/6.13 thf(zip_derived_cl0, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 38.88/6.13 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 38.88/6.13 X3) = (X0))),
% 38.88/6.13 inference('cnf', [status(esa)], [single_axiom])).
% 38.88/6.13 thf(zip_derived_cl0, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 38.88/6.13 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 38.88/6.13 X3) = (X0))),
% 38.88/6.13 inference('cnf', [status(esa)], [single_axiom])).
% 38.88/6.13 thf(zip_derived_cl5, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X2) @ X0)) @ X1)
% 38.88/6.13 = (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 38.88/6.13 (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl0, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 38.88/6.13 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 38.88/6.13 X3) = (X0))),
% 38.88/6.13 inference('cnf', [status(esa)], [single_axiom])).
% 38.88/6.13 thf(zip_derived_cl0, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 38.88/6.13 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 38.88/6.13 X3) = (X0))),
% 38.88/6.13 inference('cnf', [status(esa)], [single_axiom])).
% 38.88/6.13 thf(zip_derived_cl4, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @
% 38.88/6.13 (divide @ (divide @ X5 @ X5) @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 38.88/6.13 (divide @ X0 @ (divide @ X3 @ X2))))) @
% 38.88/6.13 (divide @ X1 @ X0))) @
% 38.88/6.13 X2) = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl32, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 38.88/6.13 ((inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X6 @ X6) @ X4) @
% 38.88/6.13 (divide @ (divide @ X5 @ X2) @
% 38.88/6.13 (divide @ X4 @
% 38.88/6.13 (divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X3 @ X3) @ X1) @
% 38.88/6.13 (divide @ X2 @ (divide @ X1 @ X0)))) @
% 38.88/6.13 X0)))))
% 38.88/6.13 = (X5))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 38.88/6.13 thf(zip_derived_cl0, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 38.88/6.13 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 38.88/6.13 X3) = (X0))),
% 38.88/6.13 inference('cnf', [status(esa)], [single_axiom])).
% 38.88/6.13 thf(zip_derived_cl46, plain,
% 38.88/6.13 (![X2 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 38.88/6.13 ((inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X6 @ X6) @ X4) @
% 38.88/6.13 (divide @ (divide @ X5 @ X2) @ (divide @ X4 @ X2))))
% 38.88/6.13 = (X5))),
% 38.88/6.13 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl5, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X2) @ X0)) @ X1)
% 38.88/6.13 = (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 38.88/6.13 (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl0, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 38.88/6.13 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 38.88/6.13 X3) = (X0))),
% 38.88/6.13 inference('cnf', [status(esa)], [single_axiom])).
% 38.88/6.13 thf(zip_derived_cl20, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (divide @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 38.88/6.13 (divide @ X2 @ X0)) = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl72, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @ (divide @ X0 @ X3) @ (divide @ X2 @ X3))
% 38.88/6.13 = (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl20])).
% 38.88/6.13 thf(zip_derived_cl20, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (divide @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 38.88/6.13 (divide @ X2 @ X0)) = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl115, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X2 @ X2) @ X0) @ (divide @ X1 @ X0))) @
% 38.88/6.13 X4) @
% 38.88/6.13 (divide @ X3 @ X4)) = (divide @ X1 @ X3))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl20])).
% 38.88/6.13 thf(zip_derived_cl20, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (divide @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 38.88/6.13 (divide @ X2 @ X0)) = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl20, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (divide @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 38.88/6.13 (divide @ X2 @ X0)) = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl60, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.88/6.13 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 38.88/6.13 (divide @
% 38.88/6.13 (divide @ X3 @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 38.88/6.13 X2))
% 38.88/6.13 = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 38.88/6.13 thf(zip_derived_cl838, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.88/6.13 ((divide @ X4 @
% 38.88/6.13 (divide @ X2 @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X3 @ X3) @ X2) @
% 38.88/6.13 (divide @ (divide @ X1 @ X1) @ X0)))))
% 38.88/6.13 = (divide @ X4 @ X0))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl60])).
% 38.88/6.13 thf(zip_derived_cl60, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.88/6.13 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 38.88/6.13 (divide @
% 38.88/6.13 (divide @ X3 @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 38.88/6.13 X2))
% 38.88/6.13 = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 38.88/6.13 thf(zip_derived_cl926, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 38.88/6.13 ((divide @ (divide @ (inverse @ (divide @ X1 @ X0)) @ X5) @
% 38.88/6.13 (divide @
% 38.88/6.13 (divide @ X6 @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X7 @ X7) @ X6) @ X1))) @
% 38.88/6.13 X5))
% 38.88/6.13 = (divide @ X3 @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 38.88/6.13 (divide @ (divide @ X2 @ X2) @ X0)))))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl838, zip_derived_cl60])).
% 38.88/6.13 thf(zip_derived_cl60, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.88/6.13 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 38.88/6.13 (divide @
% 38.88/6.13 (divide @ X3 @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 38.88/6.13 X2))
% 38.88/6.13 = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 38.88/6.13 thf(zip_derived_cl1058, plain,
% 38.88/6.13 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.88/6.13 ((X0)
% 38.88/6.13 = (divide @ X3 @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 38.88/6.13 (divide @ (divide @ X2 @ X2) @ X0)))))),
% 38.88/6.13 inference('demod', [status(thm)], [zip_derived_cl926, zip_derived_cl60])).
% 38.88/6.13 thf(zip_derived_cl4, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @
% 38.88/6.13 (divide @ (divide @ X5 @ X5) @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 38.88/6.13 (divide @ X0 @ (divide @ X3 @ X2))))) @
% 38.88/6.13 (divide @ X1 @ X0))) @
% 38.88/6.13 X2) = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl1161, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X1 @ X1) @ X0) @
% 38.88/6.13 (divide @ X2 @ (divide @ X3 @ X3)))) @
% 38.88/6.13 X0) = (X2))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl1058, zip_derived_cl4])).
% 38.88/6.13 thf(zip_derived_cl115, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X2 @ X2) @ X0) @ (divide @ X1 @ X0))) @
% 38.88/6.13 X4) @
% 38.88/6.13 (divide @ X3 @ X4)) = (divide @ X1 @ X3))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl20])).
% 38.88/6.13 thf(zip_derived_cl1244, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.88/6.13 ((divide @ X0 @ (divide @ X1 @ (divide @ X2 @ X2)))
% 38.88/6.13 = (divide @ X0 @ X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl1161, zip_derived_cl115])).
% 38.88/6.13 thf(zip_derived_cl60, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.88/6.13 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 38.88/6.13 (divide @
% 38.88/6.13 (divide @ X3 @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 38.88/6.13 X2))
% 38.88/6.13 = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 38.88/6.13 thf(zip_derived_cl1311, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.88/6.13 ((divide @ (divide @ (inverse @ (divide @ X1 @ X0)) @ X3) @
% 38.88/6.13 (divide @
% 38.88/6.13 (divide @ X4 @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X4) @ X1))) @
% 38.88/6.13 X3))
% 38.88/6.13 = (divide @ X0 @ (divide @ X2 @ X2)))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl1244, zip_derived_cl60])).
% 38.88/6.13 thf(zip_derived_cl60, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.88/6.13 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 38.88/6.13 (divide @
% 38.88/6.13 (divide @ X3 @
% 38.88/6.13 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 38.88/6.13 X2))
% 38.88/6.13 = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 38.88/6.13 thf(zip_derived_cl1437, plain,
% 38.88/6.13 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 38.88/6.13 inference('demod', [status(thm)], [zip_derived_cl1311, zip_derived_cl60])).
% 38.88/6.13 thf(zip_derived_cl72, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @ (divide @ X0 @ X3) @ (divide @ X2 @ X3))
% 38.88/6.13 = (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl20])).
% 38.88/6.13 thf(zip_derived_cl1058, plain,
% 38.88/6.13 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.88/6.13 ((X0)
% 38.88/6.13 = (divide @ X3 @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 38.88/6.13 (divide @ (divide @ X2 @ X2) @ X0)))))),
% 38.88/6.13 inference('demod', [status(thm)], [zip_derived_cl926, zip_derived_cl60])).
% 38.88/6.13 thf(zip_derived_cl1437, plain,
% 38.88/6.13 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 38.88/6.13 inference('demod', [status(thm)], [zip_derived_cl1311, zip_derived_cl60])).
% 38.88/6.13 thf(zip_derived_cl46, plain,
% 38.88/6.13 (![X2 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 38.88/6.13 ((inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X6 @ X6) @ X4) @
% 38.88/6.13 (divide @ (divide @ X5 @ X2) @ (divide @ X4 @ X2))))
% 38.88/6.13 = (X5))),
% 38.88/6.13 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl1574, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i]:
% 38.88/6.13 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl1437, zip_derived_cl46])).
% 38.88/6.13 thf(zip_derived_cl1666, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((inverse @ X0)
% 38.88/6.13 = (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X3 @ X3) @ (divide @ X2 @ X2)) @
% 38.88/6.13 (divide @ (divide @ X1 @ X1) @ X0))))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl1058, zip_derived_cl1574])).
% 38.88/6.13 thf(zip_derived_cl1437, plain,
% 38.88/6.13 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 38.88/6.13 inference('demod', [status(thm)], [zip_derived_cl1311, zip_derived_cl60])).
% 38.88/6.13 thf(zip_derived_cl1574, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i]:
% 38.88/6.13 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl1437, zip_derived_cl46])).
% 38.88/6.13 thf(zip_derived_cl1677, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i]:
% 38.88/6.13 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 38.88/6.13 inference('demod', [status(thm)],
% 38.88/6.13 [zip_derived_cl1666, zip_derived_cl1437, zip_derived_cl1574])).
% 38.88/6.13 thf(prove_these_axioms_3, conjecture,
% 38.88/6.13 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 38.88/6.13 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 38.88/6.13 thf(zf_stmt_0, negated_conjecture,
% 38.88/6.13 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 38.88/6.13 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 38.88/6.13 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 38.88/6.13 thf(zip_derived_cl2, plain,
% 38.88/6.13 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 38.88/6.13 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 38.88/6.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 38.88/6.13 thf(multiply, axiom,
% 38.88/6.13 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 38.88/6.13 thf(zip_derived_cl1, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i]:
% 38.88/6.13 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 38.88/6.13 inference('cnf', [status(esa)], [multiply])).
% 38.88/6.13 thf(zip_derived_cl1, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i]:
% 38.88/6.13 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 38.88/6.13 inference('cnf', [status(esa)], [multiply])).
% 38.88/6.13 thf(zip_derived_cl1, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i]:
% 38.88/6.13 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 38.88/6.13 inference('cnf', [status(esa)], [multiply])).
% 38.88/6.13 thf(zip_derived_cl1, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i]:
% 38.88/6.13 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 38.88/6.13 inference('cnf', [status(esa)], [multiply])).
% 38.88/6.13 thf(zip_derived_cl3, plain,
% 38.88/6.13 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 38.88/6.13 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))),
% 38.88/6.13 inference('demod', [status(thm)],
% 38.88/6.13 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 38.88/6.13 zip_derived_cl1, zip_derived_cl1])).
% 38.88/6.13 thf(zip_derived_cl2232, plain,
% 38.88/6.13 (![X0 : $i]:
% 38.88/6.13 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 38.88/6.13 != (divide @ a3 @
% 38.88/6.13 (divide @ (divide @ X0 @ X0) @ (divide @ b3 @ (inverse @ c3)))))),
% 38.88/6.13 inference('sup-', [status(thm)], [zip_derived_cl1677, zip_derived_cl3])).
% 38.88/6.13 thf(zip_derived_cl2873, plain,
% 38.88/6.13 (![X0 : $i]:
% 38.88/6.13 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 38.88/6.13 != (divide @ a3 @
% 38.88/6.13 (divide @ (divide @ (inverse @ c3) @ X0) @ (divide @ b3 @ X0))))),
% 38.88/6.13 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl2232])).
% 38.88/6.13 thf(zip_derived_cl3023, plain,
% 38.88/6.13 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 38.88/6.13 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 38.88/6.13 inference('sup-', [status(thm)], [zip_derived_cl1437, zip_derived_cl2873])).
% 38.88/6.13 thf(zip_derived_cl1677, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i]:
% 38.88/6.13 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 38.88/6.13 inference('demod', [status(thm)],
% 38.88/6.13 [zip_derived_cl1666, zip_derived_cl1437, zip_derived_cl1574])).
% 38.88/6.13 thf(zip_derived_cl0, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 38.88/6.13 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 38.88/6.13 X3) = (X0))),
% 38.88/6.13 inference('cnf', [status(esa)], [single_axiom])).
% 38.88/6.13 thf(zip_derived_cl2139, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @
% 38.88/6.13 (inverse @
% 38.88/6.13 (divide @ (divide @ (divide @ X3 @ X3) @ (divide @ X2 @ X2)) @
% 38.88/6.13 (divide @ X1 @ (inverse @ X0)))) @
% 38.88/6.13 X0) = (X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl1677, zip_derived_cl0])).
% 38.88/6.13 thf(zip_derived_cl1437, plain,
% 38.88/6.13 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 38.88/6.13 inference('demod', [status(thm)], [zip_derived_cl1311, zip_derived_cl60])).
% 38.88/6.13 thf(zip_derived_cl1574, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i]:
% 38.88/6.13 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl1437, zip_derived_cl46])).
% 38.88/6.13 thf(zip_derived_cl2245, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i]:
% 38.88/6.13 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 38.88/6.13 inference('demod', [status(thm)],
% 38.88/6.13 [zip_derived_cl2139, zip_derived_cl1437, zip_derived_cl1574])).
% 38.88/6.13 thf(zip_derived_cl1437, plain,
% 38.88/6.13 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 38.88/6.13 inference('demod', [status(thm)], [zip_derived_cl1311, zip_derived_cl60])).
% 38.88/6.13 thf(zip_derived_cl72, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.88/6.13 ((divide @ (divide @ X0 @ X3) @ (divide @ X2 @ X3))
% 38.88/6.13 = (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl20])).
% 38.88/6.13 thf(zip_derived_cl1563, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.88/6.13 ((divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2))
% 38.88/6.13 = (divide @ X1 @ X0))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl1437, zip_derived_cl72])).
% 38.88/6.13 thf(zip_derived_cl3197, plain,
% 38.88/6.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.88/6.13 ((divide @ X0 @ (divide @ X1 @ X2))
% 38.88/6.13 = (divide @ (divide @ X0 @ (inverse @ X2)) @ X1))),
% 38.88/6.13 inference('sup+', [status(thm)], [zip_derived_cl2245, zip_derived_cl1563])).
% 38.88/6.13 thf(zip_derived_cl9875, plain,
% 38.88/6.13 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 38.88/6.13 != (divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3)))),
% 38.88/6.13 inference('demod', [status(thm)],
% 38.88/6.13 [zip_derived_cl3023, zip_derived_cl3197])).
% 38.88/6.13 thf(zip_derived_cl9876, plain, ($false),
% 38.88/6.13 inference('simplify', [status(thm)], [zip_derived_cl9875])).
% 38.88/6.13
% 38.88/6.13 % SZS output end Refutation
% 38.88/6.13
% 38.88/6.13
% 38.88/6.13 % Terminating...
% 39.32/6.21 % Runner terminated.
% 39.32/6.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------