%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP073-1 : TPTP v9.2.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZOkXwt2L3m 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 04:35:34 PM UTC 2025
% Result : Unsatisfiable 108.89s 16.19s
% Output : Refutation 108.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP073-1 : TPTP v9.2.0. Bugfixed v2.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZOkXwt2L3m true
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 14:10:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.57/0.66 % Total configuration time : 435
% 0.57/0.66 % Estimated wc time : 1092
% 0.57/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 108.89/16.19 % Solved by fo/fo7.sh.
% 108.89/16.19 % done 4028 iterations in 15.394s
% 108.89/16.19 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 108.89/16.19 % SZS output start Refutation
% 108.89/16.19 thf(a3_type, type, a3: $i).
% 108.89/16.19 thf(a1_type, type, a1: $i).
% 108.89/16.19 thf(multiply_type, type, multiply: $i > $i > $i).
% 108.89/16.19 thf(inverse_type, type, inverse: $i > $i).
% 108.89/16.19 thf(c3_type, type, c3: $i).
% 108.89/16.19 thf(a2_type, type, a2: $i).
% 108.89/16.19 thf(b2_type, type, b2: $i).
% 108.89/16.19 thf(divide_type, type, divide: $i > $i > $i).
% 108.89/16.19 thf(b1_type, type, b1: $i).
% 108.89/16.19 thf(b3_type, type, b3: $i).
% 108.89/16.19 thf(single_axiom, axiom,
% 108.89/16.19 (( divide @
% 108.89/16.19 ( inverse @
% 108.89/16.19 ( divide @ ( divide @ ( divide @ X @ Y ) @ Z ) @ ( divide @ U @ Z ) ) ) @
% 108.89/16.19 ( divide @ Y @ X ) ) =
% 108.89/16.19 ( U ))).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl5, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X4 @ X5) @ (divide @ X2 @ X3)) @ X0)) @
% 108.89/16.19 (divide @ X5 @ X4))
% 108.89/16.19 = (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X3 @ X2) @ X1) @ (divide @ X0 @ X1))))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl76, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X0) @
% 108.89/16.19 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)))
% 108.89/16.19 = (X3))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl4, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @ (divide @ (divide @ X0 @ X5) @ (divide @ X1 @ X5))) @
% 108.89/16.19 (divide @ (divide @ X3 @ X4) @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ (divide @ X0 @ X2)))))
% 108.89/16.19 = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl107, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 108.89/16.19 ((divide @ X0 @
% 108.89/16.19 (divide @ (divide @ X4 @ X5) @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 108.89/16.19 (divide @ (divide @ X1 @ X2) @ X3)))))
% 108.89/16.19 = (divide @ X0 @ (divide @ X2 @ X1)))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl4])).
% 108.89/16.19 thf(zip_derived_cl5, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X4 @ X5) @ (divide @ X2 @ X3)) @ X0)) @
% 108.89/16.19 (divide @ X5 @ X4))
% 108.89/16.19 = (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X3 @ X2) @ X1) @ (divide @ X0 @ X1))))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl6, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ (divide @ X3 @ X2) @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X2 @ X3) @ X4) @
% 108.89/16.19 (divide @ X0 @ X4)))) @
% 108.89/16.19 X5) @
% 108.89/16.19 (divide @ X1 @ X5))) @
% 108.89/16.19 X0) = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl58, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ (divide @ X0 @ X1) @
% 108.89/16.19 (divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X3 @ X4) @ X5) @
% 108.89/16.19 (divide @ X6 @ X5))) @
% 108.89/16.19 (divide @ X4 @ X3))) @
% 108.89/16.19 X2)) @
% 108.89/16.19 (divide @ X1 @ X0)) @
% 108.89/16.19 X6) = (X2))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl103, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 108.89/16.19 (divide @ X1 @ X0)) @
% 108.89/16.19 X6) = (X2))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl103, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 108.89/16.19 (divide @ X1 @ X0)) @
% 108.89/16.19 X6) = (X2))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl153, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @ (inverse @ (divide @ X0 @ X1)) @
% 108.89/16.19 (divide @ (divide @ X3 @ X4) @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ X0)))) @
% 108.89/16.19 X2) = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl103])).
% 108.89/16.19 thf(zip_derived_cl660, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 108.89/16.19 X7 : $i, X8 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @ (inverse @ (divide @ X2 @ (divide @ X1 @ X0))) @
% 108.89/16.19 (divide @ (divide @ X7 @ X8) @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X8 @ X7) @ X6) @ X2)))) @
% 108.89/16.19 X6)
% 108.89/16.19 = (divide @ (divide @ X4 @ X5) @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 108.89/16.19 (divide @ (divide @ X0 @ X1) @ X3)))))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl153])).
% 108.89/16.19 thf(zip_derived_cl153, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @ (inverse @ (divide @ X0 @ X1)) @
% 108.89/16.19 (divide @ (divide @ X3 @ X4) @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ X0)))) @
% 108.89/16.19 X2) = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl103])).
% 108.89/16.19 thf(zip_derived_cl796, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 108.89/16.19 ((divide @ X1 @ X0)
% 108.89/16.19 = (divide @ (divide @ X4 @ X5) @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 108.89/16.19 (divide @ (divide @ X0 @ X1) @ X3)))))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl660, zip_derived_cl153])).
% 108.89/16.19 thf(zip_derived_cl103, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 108.89/16.19 (divide @ X1 @ X0)) @
% 108.89/16.19 X6) = (X2))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl889, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @ (inverse @ (divide @ X1 @ X0)) @ (divide @ X3 @ X4)) @ X5)
% 108.89/16.19 = (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X5 @ (divide @ X4 @ X3)) @ X2) @
% 108.89/16.19 (divide @ (divide @ X0 @ X1) @ X2))))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl796, zip_derived_cl103])).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl1170, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ (inverse @ (divide @ X4 @ X3)) @ (divide @ X2 @ X1)) @ X0) @
% 108.89/16.19 (divide @ (divide @ X1 @ X2) @ X0)) = (divide @ X3 @ X4))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl889, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl796, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 108.89/16.19 ((divide @ X1 @ X0)
% 108.89/16.19 = (divide @ (divide @ X4 @ X5) @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 108.89/16.19 (divide @ (divide @ X0 @ X1) @ X3)))))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl660, zip_derived_cl153])).
% 108.89/16.19 thf(zip_derived_cl1618, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @ X3 @ X4)
% 108.89/16.19 = (divide @
% 108.89/16.19 (divide @ (divide @ X3 @ X4) @ (inverse @ (divide @ X0 @ X1))) @
% 108.89/16.19 (inverse @ (divide @ X1 @ X0))))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl1170, zip_derived_cl796])).
% 108.89/16.19 thf(zip_derived_cl103, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 108.89/16.19 (divide @ X1 @ X0)) @
% 108.89/16.19 X6) = (X2))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl76, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X0) @
% 108.89/16.19 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)))
% 108.89/16.19 = (X3))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl152, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 108.89/16.19 ((inverse @
% 108.89/16.19 (divide @ X0 @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ X1 @
% 108.89/16.19 (divide @ (divide @ X3 @ X4) @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ X0)))) @
% 108.89/16.19 X2)))
% 108.89/16.19 = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl76])).
% 108.89/16.19 thf(zip_derived_cl1958, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 108.89/16.19 ((inverse @
% 108.89/16.19 (divide @ (inverse @ (divide @ X3 @ X4)) @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ X2 @
% 108.89/16.19 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0)))) @
% 108.89/16.19 (inverse @ (divide @ X4 @ X3)))))
% 108.89/16.19 = (X2))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl1618, zip_derived_cl152])).
% 108.89/16.19 thf(zip_derived_cl1170, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ (inverse @ (divide @ X4 @ X3)) @ (divide @ X2 @ X1)) @ X0) @
% 108.89/16.19 (divide @ (divide @ X1 @ X2) @ X0)) = (divide @ X3 @ X4))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl889, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl1614, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @ (inverse @ (divide @ X1 @ X0)) @
% 108.89/16.19 (divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X0 @ X1))))
% 108.89/16.19 = (divide @ X3 @ X2))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl1170, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl2108, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((inverse @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))) @ X2))
% 108.89/16.19 = (X2))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl1958, zip_derived_cl1614])).
% 108.89/16.19 thf(zip_derived_cl2108, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((inverse @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))) @ X2))
% 108.89/16.19 = (X2))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl1958, zip_derived_cl1614])).
% 108.89/16.19 thf(zip_derived_cl6, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ (divide @ X3 @ X2) @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X2 @ X3) @ X4) @
% 108.89/16.19 (divide @ X0 @ X4)))) @
% 108.89/16.19 X5) @
% 108.89/16.19 (divide @ X1 @ X5))) @
% 108.89/16.19 X0) = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl2295, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @ X4 @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X0 @ X1) @ X2) @
% 108.89/16.19 (divide @ X3 @ X2))) @
% 108.89/16.19 (divide @ X1 @ X0)))) @
% 108.89/16.19 X3) = (X4))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2108, zip_derived_cl6])).
% 108.89/16.19 thf(zip_derived_cl0, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 108.89/16.19 (divide @ X2 @ X1)) = (X0))),
% 108.89/16.19 inference('cnf', [status(esa)], [single_axiom])).
% 108.89/16.19 thf(zip_derived_cl2358, plain,
% 108.89/16.19 (![X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl2108, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((inverse @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))) @ X2))
% 108.89/16.19 = (X2))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl1958, zip_derived_cl1614])).
% 108.89/16.19 thf(zip_derived_cl2455, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 108.89/16.19 thf(zip_derived_cl2455, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 108.89/16.19 thf(zip_derived_cl2501, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((divide @ X2 @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)))
% 108.89/16.19 = (X2))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl2108, zip_derived_cl2455, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl2501, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((divide @ X2 @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)))
% 108.89/16.19 = (X2))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl2108, zip_derived_cl2455, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl3328, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((divide @ X1 @
% 108.89/16.19 (divide @
% 108.89/16.19 (divide @ X0 @ (divide @ (divide @ X3 @ X2) @ (divide @ X3 @ X2))) @
% 108.89/16.19 X0))
% 108.89/16.19 = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2501, zip_derived_cl2501])).
% 108.89/16.19 thf(zip_derived_cl2501, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((divide @ X2 @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)))
% 108.89/16.19 = (X2))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl2108, zip_derived_cl2455, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl3357, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl3328, zip_derived_cl2501])).
% 108.89/16.19 thf(zip_derived_cl2455, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 108.89/16.19 thf(zip_derived_cl3400, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl3357, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl3400, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl3357, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl3400, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl3357, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl3400, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl3357, zip_derived_cl2455])).
% 108.89/16.19 thf(prove_these_axioms, conjecture,
% 108.89/16.19 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 108.89/16.19 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 108.89/16.19 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 108.89/16.19 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 108.89/16.19 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 108.89/16.19 thf(zf_stmt_0, negated_conjecture,
% 108.89/16.19 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 108.89/16.19 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 108.89/16.19 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 108.89/16.19 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 108.89/16.19 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 108.89/16.19 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 108.89/16.19 thf(zip_derived_cl2, plain,
% 108.89/16.19 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 108.89/16.19 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 108.89/16.19 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 108.89/16.19 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 108.89/16.19 inference('cnf', [status(esa)], [zf_stmt_0])).
% 108.89/16.19 thf(multiply, axiom,
% 108.89/16.19 (( multiply @ X @ Y ) = ( divide @ X @ ( inverse @ Y ) ))).
% 108.89/16.19 thf(zip_derived_cl1, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 108.89/16.19 inference('cnf', [status(esa)], [multiply])).
% 108.89/16.19 thf(zip_derived_cl1, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 108.89/16.19 inference('cnf', [status(esa)], [multiply])).
% 108.89/16.19 thf(zip_derived_cl1, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 108.89/16.19 inference('cnf', [status(esa)], [multiply])).
% 108.89/16.19 thf(zip_derived_cl1, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 108.89/16.19 inference('cnf', [status(esa)], [multiply])).
% 108.89/16.19 thf(zip_derived_cl1, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 108.89/16.19 inference('cnf', [status(esa)], [multiply])).
% 108.89/16.19 thf(zip_derived_cl1, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 108.89/16.19 inference('cnf', [status(esa)], [multiply])).
% 108.89/16.19 thf(zip_derived_cl1, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 108.89/16.19 inference('cnf', [status(esa)], [multiply])).
% 108.89/16.19 thf(zip_derived_cl1, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 108.89/16.19 inference('cnf', [status(esa)], [multiply])).
% 108.89/16.19 thf(zip_derived_cl3, plain,
% 108.89/16.19 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 108.89/16.19 | ((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @
% 108.89/16.19 (inverse @ a2)) != (a2))
% 108.89/16.19 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 108.89/16.19 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 108.89/16.19 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 108.89/16.19 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1])).
% 108.89/16.19 thf(zip_derived_cl2455, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 108.89/16.19 thf(zip_derived_cl2484, plain,
% 108.89/16.19 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))
% 108.89/16.19 | ((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @
% 108.89/16.19 (inverse @ a2)) != (a2))
% 108.89/16.19 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 108.89/16.19 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl3516, plain,
% 108.89/16.19 (![X0 : $i]:
% 108.89/16.19 (((divide @
% 108.89/16.19 (divide @ (divide @ (divide @ X0 @ X0) @ b2) @ (inverse @ b2)) @
% 108.89/16.19 (inverse @ a2)) != (a2))
% 108.89/16.19 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 108.89/16.19 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 108.89/16.19 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3))))),
% 108.89/16.19 inference('sup-', [status(thm)], [zip_derived_cl3400, zip_derived_cl2484])).
% 108.89/16.19 thf(zip_derived_cl2358, plain,
% 108.89/16.19 (![X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl2358, plain,
% 108.89/16.19 (![X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl2427, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((divide @ X0 @ X1) = (divide @ X0 @ (inverse @ (inverse @ X1))))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2358])).
% 108.89/16.19 thf(zip_derived_cl2358, plain,
% 108.89/16.19 (![X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl2514, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2427, zip_derived_cl2358])).
% 108.89/16.19 thf(zip_derived_cl3571, plain,
% 108.89/16.19 (![X0 : $i]:
% 108.89/16.19 (((divide @ (divide @ X0 @ X0) @ (inverse @ a2)) != (a2))
% 108.89/16.19 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 108.89/16.19 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 108.89/16.19 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3))))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl3516, zip_derived_cl2514])).
% 108.89/16.19 thf(zip_derived_cl3595, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 (((divide @ (inverse @ a1) @ (inverse @ a1))
% 108.89/16.19 != (divide @ (divide @ (divide @ X0 @ X0) @ b1) @ (inverse @ b1)))
% 108.89/16.19 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))
% 108.89/16.19 | ((divide @ (divide @ X1 @ X1) @ (inverse @ a2)) != (a2)))),
% 108.89/16.19 inference('sup-', [status(thm)], [zip_derived_cl3400, zip_derived_cl3571])).
% 108.89/16.19 thf(zip_derived_cl2514, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2427, zip_derived_cl2358])).
% 108.89/16.19 thf(zip_derived_cl3596, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 (((divide @ (inverse @ a1) @ (inverse @ a1)) != (divide @ X0 @ X0))
% 108.89/16.19 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))
% 108.89/16.19 | ((divide @ (divide @ X1 @ X1) @ (inverse @ a2)) != (a2)))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl3595, zip_derived_cl2514])).
% 108.89/16.19 thf(zip_derived_cl3599, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @
% 108.89/16.19 (divide @ (divide @ (divide @ X0 @ X0) @ c3) @ b3)))
% 108.89/16.19 | ((divide @ (divide @ X1 @ X1) @ (inverse @ a2)) != (a2))
% 108.89/16.19 | ((divide @ (inverse @ a1) @ (inverse @ a1)) != (divide @ X2 @ X2)))),
% 108.89/16.19 inference('sup-', [status(thm)], [zip_derived_cl3400, zip_derived_cl3596])).
% 108.89/16.19 thf(zip_derived_cl3600, plain,
% 108.89/16.19 (![X1 : $i, X2 : $i]:
% 108.89/16.19 (((inverse @ (inverse @ a2)) != (a2))
% 108.89/16.19 | ((divide @ (inverse @ a1) @ (inverse @ a1)) != (divide @ X1 @ X1))
% 108.89/16.19 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @
% 108.89/16.19 (divide @ (divide @ (divide @ X2 @ X2) @ c3) @ b3))))),
% 108.89/16.19 inference('sup-', [status(thm)], [zip_derived_cl3400, zip_derived_cl3599])).
% 108.89/16.19 thf(zip_derived_cl2427, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((divide @ X0 @ X1) = (divide @ X0 @ (inverse @ (inverse @ X1))))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2358])).
% 108.89/16.19 thf(zip_derived_cl2455, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 108.89/16.19 thf(zip_derived_cl2513, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ (divide @ X1 @ X0))
% 108.89/16.19 = (divide @ (inverse @ (inverse @ X0)) @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2427, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl2455, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 108.89/16.19 thf(zip_derived_cl2529, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((divide @ X0 @ X1) = (divide @ (inverse @ (inverse @ X0)) @ X1))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl2513, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl2514, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2427, zip_derived_cl2358])).
% 108.89/16.19 thf(zip_derived_cl2566, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0))
% 108.89/16.19 = (inverse @ (inverse @ X1)))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2529, zip_derived_cl2514])).
% 108.89/16.19 thf(zip_derived_cl2514, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2427, zip_derived_cl2358])).
% 108.89/16.19 thf(zip_derived_cl2584, plain,
% 108.89/16.19 (![X1 : $i]: ((X1) = (inverse @ (inverse @ X1)))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl2566, zip_derived_cl2514])).
% 108.89/16.19 thf(zip_derived_cl3607, plain,
% 108.89/16.19 (![X1 : $i, X2 : $i]:
% 108.89/16.19 (((a2) != (a2))
% 108.89/16.19 | ((divide @ (inverse @ a1) @ (inverse @ a1)) != (divide @ X1 @ X1))
% 108.89/16.19 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @
% 108.89/16.19 (divide @ (divide @ (divide @ X2 @ X2) @ c3) @ b3))))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl3600, zip_derived_cl2584])).
% 108.89/16.19 thf(zip_derived_cl3608, plain,
% 108.89/16.19 (![X1 : $i, X2 : $i]:
% 108.89/16.19 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @
% 108.89/16.19 (divide @ (divide @ (divide @ X2 @ X2) @ c3) @ b3)))
% 108.89/16.19 | ((divide @ (inverse @ a1) @ (inverse @ a1)) != (divide @ X1 @ X1)))),
% 108.89/16.19 inference('simplify', [status(thm)], [zip_derived_cl3607])).
% 108.89/16.19 thf(zip_derived_cl3619, plain,
% 108.89/16.19 (![X0 : $i]:
% 108.89/16.19 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ a3 @ (divide @ (divide @ (divide @ X0 @ X0) @ c3) @ b3)))),
% 108.89/16.19 inference('eq_res', [status(thm)], [zip_derived_cl3608])).
% 108.89/16.19 thf(zip_derived_cl2358, plain,
% 108.89/16.19 (![X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl3357, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl3328, zip_derived_cl2501])).
% 108.89/16.19 thf(zip_derived_cl103, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 108.89/16.19 (divide @ X1 @ X0)) @
% 108.89/16.19 X6) = (X2))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl1618, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 108.89/16.19 ((divide @ X3 @ X4)
% 108.89/16.19 = (divide @
% 108.89/16.19 (divide @ (divide @ X3 @ X4) @ (inverse @ (divide @ X0 @ X1))) @
% 108.89/16.19 (inverse @ (divide @ X1 @ X0))))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl1170, zip_derived_cl796])).
% 108.89/16.19 thf(zip_derived_cl2016, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X4 @ X5) @ X3) @ X0)) @
% 108.89/16.19 (divide @ X5 @ X4)) @
% 108.89/16.19 X3)
% 108.89/16.19 = (divide @ (divide @ X0 @ (inverse @ (divide @ X1 @ X2))) @
% 108.89/16.19 (inverse @ (divide @ X2 @ X1))))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl1618])).
% 108.89/16.19 thf(zip_derived_cl103, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 108.89/16.19 ((divide @
% 108.89/16.19 (divide @
% 108.89/16.19 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 108.89/16.19 (divide @ X1 @ X0)) @
% 108.89/16.19 X6) = (X2))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl2046, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((X0)
% 108.89/16.19 = (divide @ (divide @ X0 @ (inverse @ (divide @ X1 @ X2))) @
% 108.89/16.19 (inverse @ (divide @ X2 @ X1))))),
% 108.89/16.19 inference('demod', [status(thm)], [zip_derived_cl2016, zip_derived_cl103])).
% 108.89/16.19 thf(zip_derived_cl2455, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 108.89/16.19 thf(zip_derived_cl2455, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 108.89/16.19 thf(zip_derived_cl2500, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((X0)
% 108.89/16.19 = (divide @ (divide @ X0 @ (divide @ X2 @ X1)) @ (divide @ X1 @ X2)))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl2046, zip_derived_cl2455, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl3393, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((X2)
% 108.89/16.19 = (divide @ (divide @ X2 @ X0) @ (divide @ (divide @ X1 @ X1) @ X0)))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl3357, zip_derived_cl2500])).
% 108.89/16.19 thf(zip_derived_cl76, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ X2) @ X0) @
% 108.89/16.19 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)))
% 108.89/16.19 = (X3))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 108.89/16.19 thf(zip_derived_cl4940, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 108.89/16.19 ((inverse @
% 108.89/16.19 (divide @ (divide @ (divide @ X1 @ (divide @ X3 @ X3)) @ X2) @
% 108.89/16.19 (divide @ X0 @ X2)))
% 108.89/16.19 = (divide @ X0 @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl3393, zip_derived_cl76])).
% 108.89/16.19 thf(zip_derived_cl3357, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl3328, zip_derived_cl2501])).
% 108.89/16.19 thf(zip_derived_cl2455, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 108.89/16.19 thf(zip_derived_cl5034, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))
% 108.89/16.19 = (divide @ X0 @ X1))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl4940, zip_derived_cl3357, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl5127, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.89/16.19 ((divide @ X0 @ (divide @ X1 @ X2))
% 108.89/16.19 = (divide @ (divide @ X0 @ (inverse @ X2)) @ X1))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl5034])).
% 108.89/16.19 thf(zip_derived_cl28256, plain,
% 108.89/16.19 (![X0 : $i]:
% 108.89/16.19 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 108.89/16.19 != (divide @ (divide @ a3 @ (inverse @ b3)) @
% 108.89/16.19 (divide @ (divide @ X0 @ X0) @ c3)))),
% 108.89/16.19 inference('demod', [status(thm)],
% 108.89/16.19 [zip_derived_cl3619, zip_derived_cl5127])).
% 108.89/16.19 thf(zip_derived_cl3400, plain,
% 108.89/16.19 (![X0 : $i, X1 : $i]:
% 108.89/16.19 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 108.89/16.19 inference('sup+', [status(thm)], [zip_derived_cl3357, zip_derived_cl2455])).
% 108.89/16.19 thf(zip_derived_cl28257, plain, ($false),
% 108.89/16.19 inference('simplify_reflect+', [status(thm)],
% 108.89/16.19 [zip_derived_cl28256, zip_derived_cl3400])).
% 108.89/16.19
% 108.89/16.19 % SZS output end Refutation
% 108.89/16.19
% 108.89/16.19
% 108.89/16.19 % Terminating...
% 109.58/16.34 % Runner terminated.
% 109.61/16.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------