%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP433-1 : 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.tq7VAf20pR true
% Computer : n018.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 04:36:26 PM UTC 2025
% Result : Unsatisfiable 5.29s 1.33s
% Output : Refutation 5.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP433-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tq7VAf20pR true
% 0.13/0.34 % Computer : n018.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 14:22:23 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 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
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.29/1.33 % Solved by fo/fo7.sh.
% 5.29/1.33 % done 496 iterations in 0.544s
% 5.29/1.33 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.29/1.33 % SZS output start Refutation
% 5.29/1.33 thf(a1_type, type, a1: $i).
% 5.29/1.33 thf(b1_type, type, b1: $i).
% 5.29/1.33 thf(inverse_type, type, inverse: $i > $i).
% 5.29/1.33 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.29/1.33 thf(single_axiom, axiom,
% 5.29/1.33 (( inverse @
% 5.29/1.33 ( multiply @
% 5.29/1.33 ( multiply @
% 5.29/1.33 ( multiply @
% 5.29/1.33 ( inverse @ ( multiply @ ( multiply @ A @ B ) @ C ) ) @ A ) @
% 5.29/1.33 B ) @
% 5.29/1.33 ( multiply @ D @ ( inverse @ D ) ) ) ) =
% 5.29/1.33 ( C ))).
% 5.29/1.33 thf(zip_derived_cl0, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 5.29/1.33 X1) @
% 5.29/1.33 X2) @
% 5.29/1.33 (multiply @ X3 @ (inverse @ X3))))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('cnf', [status(esa)], [single_axiom])).
% 5.29/1.33 thf(zip_derived_cl0, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 5.29/1.33 X1) @
% 5.29/1.33 X2) @
% 5.29/1.33 (multiply @ X3 @ (inverse @ X3))))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('cnf', [status(esa)], [single_axiom])).
% 5.29/1.33 thf(zip_derived_cl3, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ X0 @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 5.29/1.33 X4)) @
% 5.29/1.33 X3) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl3, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ X0 @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 5.29/1.33 X4)) @
% 5.29/1.33 X3) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl18, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 5.29/1.33 thf(zip_derived_cl3, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ X0 @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 5.29/1.33 X4)) @
% 5.29/1.33 X3) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl0, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 5.29/1.33 X1) @
% 5.29/1.33 X2) @
% 5.29/1.33 (multiply @ X3 @ (inverse @ X3))))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('cnf', [status(esa)], [single_axiom])).
% 5.29/1.33 thf(zip_derived_cl11, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ X3 @
% 5.29/1.33 (multiply @
% 5.29/1.33 (inverse @ (multiply @ (multiply @ X2 @ X1) @ X3)) @ X2)) @
% 5.29/1.33 X1) @
% 5.29/1.33 (multiply @ X0 @ (inverse @ X0))))) @
% 5.29/1.33 X5) @
% 5.29/1.33 X4) @
% 5.29/1.33 (multiply @ X6 @ (inverse @ X6))))
% 5.29/1.33 = (inverse @ (multiply @ X5 @ X4)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl3, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ X0 @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 5.29/1.33 X4)) @
% 5.29/1.33 X3) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl37, plain,
% 5.29/1.33 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X5) @
% 5.29/1.33 X4) @
% 5.29/1.33 (multiply @ X6 @ (inverse @ X6))))
% 5.29/1.33 = (inverse @ (multiply @ X5 @ X4)))),
% 5.29/1.33 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 5.29/1.33 thf(zip_derived_cl3, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ X0 @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 5.29/1.33 X4)) @
% 5.29/1.33 X3) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl74, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (inverse @
% 5.29/1.33 (multiply @ (multiply @ X1 @ X0) @
% 5.29/1.33 (inverse @ (multiply @ X2 @ (inverse @ X2))))) @
% 5.29/1.33 X1) @
% 5.29/1.33 X0))
% 5.29/1.33 = (multiply @ X3 @ (inverse @ X3)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 5.29/1.33 thf(zip_derived_cl367, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @ X2) @
% 5.29/1.33 (inverse @ X2)))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl74])).
% 5.29/1.33 thf(zip_derived_cl0, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 5.29/1.33 X1) @
% 5.29/1.33 X2) @
% 5.29/1.33 (multiply @ X3 @ (inverse @ X3))))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('cnf', [status(esa)], [single_axiom])).
% 5.29/1.33 thf(zip_derived_cl458, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 5.29/1.33 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 5.29/1.33 X1) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (inverse @ X1))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl18, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 5.29/1.33 thf(zip_derived_cl458, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 5.29/1.33 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 5.29/1.33 X1) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (inverse @ X1))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl918, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (inverse @ X1))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 5.29/1.33 thf(zip_derived_cl3, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ X0 @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 5.29/1.33 X4)) @
% 5.29/1.33 X3) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl0, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 5.29/1.33 X1) @
% 5.29/1.33 X2) @
% 5.29/1.33 (multiply @ X3 @ (inverse @ X3))))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('cnf', [status(esa)], [single_axiom])).
% 5.29/1.33 thf(zip_derived_cl6, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ X3 @
% 5.29/1.33 (multiply @
% 5.29/1.33 (inverse @ (multiply @ (multiply @ X2 @ X1) @ X3)) @ X2)) @
% 5.29/1.33 X1) @
% 5.29/1.33 (multiply @ X0 @ (inverse @ X0)))) @
% 5.29/1.33 X4)) @
% 5.29/1.33 X6) @
% 5.29/1.33 (inverse @ X6)) @
% 5.29/1.33 (multiply @ X5 @ (inverse @ X5))))
% 5.29/1.33 = (X4))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl3, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ X0 @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 5.29/1.33 X4)) @
% 5.29/1.33 X3) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.29/1.33 thf(zip_derived_cl33, plain,
% 5.29/1.33 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X4)) @
% 5.29/1.33 X6) @
% 5.29/1.33 (inverse @ X6)) @
% 5.29/1.33 (multiply @ X5 @ (inverse @ X5))))
% 5.29/1.33 = (X4))),
% 5.29/1.33 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 5.29/1.33 thf(zip_derived_cl1021, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 5.29/1.33 thf(zip_derived_cl1213, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 5.29/1.33 (inverse @ (multiply @ X0 @ (inverse @ X0)))))))))
% 5.29/1.33 = (multiply @ X2 @ (inverse @ X2)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl458, zip_derived_cl1021])).
% 5.29/1.33 thf(zip_derived_cl1021, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 5.29/1.33 thf(zip_derived_cl1244, plain,
% 5.29/1.33 (![X0 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 5.29/1.33 = (multiply @ X2 @ (inverse @ X2)))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1213, zip_derived_cl1021])).
% 5.29/1.33 thf(zip_derived_cl1021, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 5.29/1.33 thf(zip_derived_cl1287, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) @ X1)))))
% 5.29/1.33 = (X1))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1244, zip_derived_cl1021])).
% 5.29/1.33 thf(zip_derived_cl918, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (inverse @ X1))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 5.29/1.33 thf(zip_derived_cl37, plain,
% 5.29/1.33 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X5) @
% 5.29/1.33 X4) @
% 5.29/1.33 (multiply @ X6 @ (inverse @ X6))))
% 5.29/1.33 = (inverse @ (multiply @ X5 @ X4)))),
% 5.29/1.33 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 5.29/1.33 thf(zip_derived_cl1022, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((inverse @ X0)
% 5.29/1.33 = (inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))) @ X0)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl37])).
% 5.29/1.33 thf(zip_derived_cl1404, plain,
% 5.29/1.33 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1287, zip_derived_cl1022])).
% 5.29/1.33 thf(zip_derived_cl18, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 5.29/1.33 thf(zip_derived_cl1415, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((multiply @ (inverse @ (inverse @ (inverse @ X0))) @ X0)
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl18])).
% 5.29/1.33 thf(zip_derived_cl1404, plain,
% 5.29/1.33 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1287, zip_derived_cl1022])).
% 5.29/1.33 thf(zip_derived_cl1021, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 5.29/1.33 thf(zip_derived_cl1449, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 5.29/1.33 thf(zip_derived_cl918, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (inverse @ X1))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 5.29/1.33 thf(zip_derived_cl1449, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 5.29/1.33 thf(zip_derived_cl1483, plain,
% 5.29/1.33 (![X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @ (multiply @ X1 @ (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (inverse @ X1))),
% 5.29/1.33 inference('demod', [status(thm)], [zip_derived_cl918, zip_derived_cl1449])).
% 5.29/1.33 thf(zip_derived_cl1404, plain,
% 5.29/1.33 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1287, zip_derived_cl1022])).
% 5.29/1.33 thf(zip_derived_cl1590, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((inverse @ (inverse @ (inverse @ (inverse @ X0))))
% 5.29/1.33 = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1483, zip_derived_cl1404])).
% 5.29/1.33 thf(zip_derived_cl1404, plain,
% 5.29/1.33 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1287, zip_derived_cl1022])).
% 5.29/1.33 thf(zip_derived_cl1617, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1590, zip_derived_cl1404])).
% 5.29/1.33 thf(zip_derived_cl1632, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 5.29/1.33 thf(zip_derived_cl1632, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 5.29/1.33 thf(zip_derived_cl0, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 5.29/1.33 X1) @
% 5.29/1.33 X2) @
% 5.29/1.33 (multiply @ X3 @ (inverse @ X3))))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('cnf', [status(esa)], [single_axiom])).
% 5.29/1.33 thf(zip_derived_cl1617, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1590, zip_derived_cl1404])).
% 5.29/1.33 thf(zip_derived_cl1619, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @ X1) @
% 5.29/1.33 X2))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1617])).
% 5.29/1.33 thf(zip_derived_cl2507, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ X0 @ (inverse @ (multiply @ X2 @ (inverse @ X2)))) @
% 5.29/1.33 X1)) @
% 5.29/1.33 X0))
% 5.29/1.33 = (X1))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl1619])).
% 5.29/1.33 thf(zip_derived_cl1632, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 5.29/1.33 thf(zip_derived_cl2558, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)) = (X1))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl2507, zip_derived_cl1632])).
% 5.29/1.33 thf(zip_derived_cl2628, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X0)))
% 5.29/1.33 = (X0))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl2558])).
% 5.29/1.33 thf(zip_derived_cl18, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 5.29/1.33 thf(zip_derived_cl367, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @ X2) @
% 5.29/1.33 (inverse @ X2)))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl74])).
% 5.29/1.33 thf(zip_derived_cl476, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 5.29/1.33 (inverse @ (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl367])).
% 5.29/1.33 thf(zip_derived_cl1244, plain,
% 5.29/1.33 (![X0 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 5.29/1.33 = (multiply @ X2 @ (inverse @ X2)))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1213, zip_derived_cl1021])).
% 5.29/1.33 thf(zip_derived_cl1364, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (inverse @
% 5.29/1.33 (multiply @
% 5.29/1.33 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 5.29/1.33 (inverse @
% 5.29/1.33 (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))) @
% 5.29/1.33 (multiply @ X0 @ (inverse @ X0)))))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl476, zip_derived_cl1244])).
% 5.29/1.33 thf(zip_derived_cl1244, plain,
% 5.29/1.33 (![X0 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 5.29/1.33 = (multiply @ X2 @ (inverse @ X2)))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1213, zip_derived_cl1021])).
% 5.29/1.33 thf(zip_derived_cl918, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @
% 5.29/1.33 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 5.29/1.33 (multiply @ X2 @ (inverse @ X2))))
% 5.29/1.33 = (inverse @ X1))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 5.29/1.33 thf(zip_derived_cl1244, plain,
% 5.29/1.33 (![X0 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 5.29/1.33 = (multiply @ X2 @ (inverse @ X2)))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1213, zip_derived_cl1021])).
% 5.29/1.33 thf(zip_derived_cl1398, plain,
% 5.29/1.33 (![X1 : $i, X2 : $i]:
% 5.29/1.33 ((inverse @ (multiply @ X2 @ (inverse @ X2)))
% 5.29/1.33 = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1364, zip_derived_cl1244, zip_derived_cl918,
% 5.29/1.33 zip_derived_cl1244])).
% 5.29/1.33 thf(zip_derived_cl1449, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 5.29/1.33 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 5.29/1.33 thf(zip_derived_cl2662, plain,
% 5.29/1.33 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 5.29/1.33 thf(zip_derived_cl2690, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((multiply @ (inverse @ X0) @ X0) = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1415, zip_derived_cl2662])).
% 5.29/1.33 thf(prove_these_axioms_1, conjecture,
% 5.29/1.33 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 5.29/1.33 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 5.29/1.33 thf(zf_stmt_0, negated_conjecture,
% 5.29/1.33 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 5.29/1.33 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 5.29/1.33 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 5.29/1.33 thf(zip_derived_cl1, plain,
% 5.29/1.33 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 5.29/1.33 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.29/1.33 thf(zip_derived_cl2834, plain,
% 5.29/1.33 (![X0 : $i]:
% 5.29/1.33 ((multiply @ (inverse @ a1) @ a1) != (multiply @ X0 @ (inverse @ X0)))),
% 5.29/1.33 inference('sup-', [status(thm)], [zip_derived_cl2690, zip_derived_cl1])).
% 5.29/1.33 thf(zip_derived_cl2690, plain,
% 5.29/1.33 (![X0 : $i, X1 : $i]:
% 5.29/1.33 ((multiply @ (inverse @ X0) @ X0) = (multiply @ X1 @ (inverse @ X1)))),
% 5.29/1.33 inference('demod', [status(thm)],
% 5.29/1.33 [zip_derived_cl1415, zip_derived_cl2662])).
% 5.29/1.33 thf(zip_derived_cl2854, plain, ($false),
% 5.29/1.33 inference('simplify_reflect+', [status(thm)],
% 5.29/1.33 [zip_derived_cl2834, zip_derived_cl2690])).
% 5.29/1.33
% 5.29/1.33 % SZS output end Refutation
% 5.29/1.33
% 5.29/1.33
% 5.29/1.33 % Terminating...
% 5.29/1.37 % Runner terminated.
% 5.29/1.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------