%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP440-1 : 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.TQnGCZOdFI true
% Computer : n008.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 04:36:27 PM UTC 2025
% Result : Unsatisfiable 55.69s 8.64s
% Output : Refutation 55.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP440-1 : TPTP v9.2.0. Released v2.6.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TQnGCZOdFI true
% 0.13/0.34 % Computer : n008.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/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % 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
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 55.69/8.64 % Solved by fo/fo7.sh.
% 55.69/8.64 % done 306 iterations in 7.809s
% 55.69/8.64 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 55.69/8.64 % SZS output start Refutation
% 55.69/8.64 thf(b2_type, type, b2: $i).
% 55.69/8.64 thf(a2_type, type, a2: $i).
% 55.69/8.64 thf(inverse_type, type, inverse: $i > $i).
% 55.69/8.64 thf(multiply_type, type, multiply: $i > $i > $i).
% 55.69/8.64 thf(single_axiom, axiom,
% 55.69/8.64 (( inverse @
% 55.69/8.64 ( multiply @
% 55.69/8.64 A @
% 55.69/8.64 ( multiply @
% 55.69/8.64 B @
% 55.69/8.64 ( multiply @
% 55.69/8.64 ( multiply @ ( inverse @ B ) @ C ) @
% 55.69/8.64 ( inverse @ ( multiply @ D @ ( multiply @ A @ C ) ) ) ) ) ) ) =
% 55.69/8.64 ( D ))).
% 55.69/8.64 thf(zip_derived_cl0, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X1 @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 55.69/8.64 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 55.69/8.64 = (X0))),
% 55.69/8.64 inference('cnf', [status(esa)], [single_axiom])).
% 55.69/8.64 thf(zip_derived_cl0, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X1 @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 55.69/8.64 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 55.69/8.64 = (X0))),
% 55.69/8.64 inference('cnf', [status(esa)], [single_axiom])).
% 55.69/8.64 thf(zip_derived_cl0, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X1 @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 55.69/8.64 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 55.69/8.64 = (X0))),
% 55.69/8.64 inference('cnf', [status(esa)], [single_axiom])).
% 55.69/8.64 thf(zip_derived_cl3, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X4) @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X3) @ X2) @
% 55.69/8.64 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2))))) @
% 55.69/8.64 X0))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 55.69/8.64 thf(zip_derived_cl0, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X1 @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 55.69/8.64 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 55.69/8.64 = (X0))),
% 55.69/8.64 inference('cnf', [status(esa)], [single_axiom])).
% 55.69/8.64 thf(zip_derived_cl9, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X4) @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X1) @ X3) @
% 55.69/8.64 (inverse @ (multiply @ X2 @ (multiply @ X0 @ X3))))) @
% 55.69/8.64 X2)) @
% 55.69/8.64 X0))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 55.69/8.64 thf(zip_derived_cl29, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 55.69/8.64 X7 : $i, X8 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X7 @
% 55.69/8.64 (multiply @ X8 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X8) @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X7) @
% 55.69/8.64 (multiply @ (multiply @ X0 @ X6) @
% 55.69/8.64 (inverse @ (multiply @ X5 @ (multiply @ X4 @ X6))))) @
% 55.69/8.64 X5)) @
% 55.69/8.64 X4))))
% 55.69/8.64 = (multiply @ X2 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X3) @ X1) @
% 55.69/8.64 (inverse @ (multiply @ X0 @ (multiply @ X2 @ X1)))))))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 55.69/8.64 thf(zip_derived_cl9, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X4) @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X1) @ X3) @
% 55.69/8.64 (inverse @ (multiply @ X2 @ (multiply @ X0 @ X3))))) @
% 55.69/8.64 X2)) @
% 55.69/8.64 X0))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 55.69/8.64 thf(zip_derived_cl508, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X2))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 55.69/8.64 thf(zip_derived_cl508, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X2))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 55.69/8.64 thf(zip_derived_cl0, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X1 @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 55.69/8.64 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 55.69/8.64 = (X0))),
% 55.69/8.64 inference('cnf', [status(esa)], [single_axiom])).
% 55.69/8.64 thf(zip_derived_cl888, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X4) @ X2) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X0) @ (multiply @ X3 @ X2)))))) @
% 55.69/8.64 (inverse @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl0])).
% 55.69/8.64 thf(zip_derived_cl1349, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X3 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl888])).
% 55.69/8.64 thf(zip_derived_cl508, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X2))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 55.69/8.64 thf(zip_derived_cl1493, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 55.69/8.64 X0)))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl508, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X2))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 55.69/8.64 thf(zip_derived_cl1563, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 55.69/8.64 ((multiply @ X0 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X4) @
% 55.69/8.64 (multiply @ X3 @ (inverse @ (multiply @ X2 @ X3)))) @
% 55.69/8.64 X2))) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl1493, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 55.69/8.64 X0)))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl1690, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X5 : $i]:
% 55.69/8.64 ((multiply @ X0 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl1563, zip_derived_cl1493])).
% 55.69/8.64 thf(zip_derived_cl1349, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X3 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl888])).
% 55.69/8.64 thf(zip_derived_cl1690, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X5 : $i]:
% 55.69/8.64 ((multiply @ X0 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl1563, zip_derived_cl1493])).
% 55.69/8.64 thf(zip_derived_cl1899, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @
% 55.69/8.64 (multiply @ X1 @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 55.69/8.64 (multiply @ X3 @ (multiply @ (inverse @ X3) @ X0))) = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl1690])).
% 55.69/8.64 thf(zip_derived_cl2830, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @
% 55.69/8.64 (multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (inverse @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ (inverse @ X2)) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X0) @ X2))) @
% 55.69/8.64 X3)))) @
% 55.69/8.64 X0) = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1690, zip_derived_cl1899])).
% 55.69/8.64 thf(zip_derived_cl1493, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 55.69/8.64 X0)))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl1493, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 55.69/8.64 X0)))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl0, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X1 @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 55.69/8.64 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 55.69/8.64 = (X0))),
% 55.69/8.64 inference('cnf', [status(esa)], [single_axiom])).
% 55.69/8.64 thf(zip_derived_cl1538, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X0 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X4) @
% 55.69/8.64 (multiply @ X3 @ (inverse @ (multiply @ X2 @ X3)))) @
% 55.69/8.64 X2))) @
% 55.69/8.64 (inverse @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl0])).
% 55.69/8.64 thf(zip_derived_cl1493, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 55.69/8.64 X0)))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl1666, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X5 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X0 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @ (inverse @ X5) @ (inverse @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl1538, zip_derived_cl1493])).
% 55.69/8.64 thf(zip_derived_cl1493, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 55.69/8.64 X0)))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl1754, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X4) @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ (inverse @ X3) @ (inverse @ (multiply @ X0 @ X2)))) @
% 55.69/8.64 X0)) @
% 55.69/8.64 X2)))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1666, zip_derived_cl1493])).
% 55.69/8.64 thf(zip_derived_cl5304, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 55.69/8.64 ((multiply @ X6 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @ (inverse @ X4) @
% 55.69/8.64 (inverse @
% 55.69/8.64 (multiply @ X0 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X2)))) @
% 55.69/8.64 X1)))))) @
% 55.69/8.64 X0))))
% 55.69/8.64 = (X6))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl1754])).
% 55.69/8.64 thf(zip_derived_cl1493, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 55.69/8.64 X0)))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl5391, plain,
% 55.69/8.64 (![X0 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 55.69/8.64 ((multiply @ X6 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ X4 @ (multiply @ (inverse @ X4) @ (inverse @ X0))) @
% 55.69/8.64 X0))))
% 55.69/8.64 = (X6))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl5304, zip_derived_cl1493])).
% 55.69/8.64 thf(zip_derived_cl1899, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @
% 55.69/8.64 (multiply @ X1 @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 55.69/8.64 (multiply @ X3 @ (multiply @ (inverse @ X3) @ X0))) = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl1690])).
% 55.69/8.64 thf(zip_derived_cl5579, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X3 @
% 55.69/8.64 (multiply @ X0 @
% 55.69/8.64 (inverse @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ X2 @ (multiply @ (inverse @ X2) @ (inverse @ X1))) @
% 55.69/8.64 X1) @
% 55.69/8.64 X0))))
% 55.69/8.64 = (X3))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl5391, zip_derived_cl1899])).
% 55.69/8.64 thf(zip_derived_cl1349, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X3 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ (inverse @ X3) @
% 55.69/8.64 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl888])).
% 55.69/8.64 thf(zip_derived_cl1690, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X5 : $i]:
% 55.69/8.64 ((multiply @ X0 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl1563, zip_derived_cl1493])).
% 55.69/8.64 thf(zip_derived_cl1920, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 55.69/8.64 ((multiply @ X3 @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @ (inverse @ X4) @ (inverse @ (multiply @ X0 @ X3)))))
% 55.69/8.64 = (multiply @ (inverse @ X2) @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl1690])).
% 55.69/8.64 thf(zip_derived_cl5769, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 55.69/8.64 ((multiply @ (inverse @ X0) @ X0)
% 55.69/8.64 = (multiply @ (inverse @ X4) @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @ X1 @
% 55.69/8.64 (inverse @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ (inverse @ X3) @ (inverse @ X2))) @
% 55.69/8.64 X2) @
% 55.69/8.64 X1))))))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl5579, zip_derived_cl1920])).
% 55.69/8.64 thf(zip_derived_cl5579, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X3 @
% 55.69/8.64 (multiply @ X0 @
% 55.69/8.64 (inverse @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ X2 @ (multiply @ (inverse @ X2) @ (inverse @ X1))) @
% 55.69/8.64 X1) @
% 55.69/8.64 X0))))
% 55.69/8.64 = (X3))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl5391, zip_derived_cl1899])).
% 55.69/8.64 thf(zip_derived_cl5960, plain,
% 55.69/8.64 (![X0 : $i, X4 : $i]:
% 55.69/8.64 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl5769, zip_derived_cl5579])).
% 55.69/8.64 thf(prove_these_axioms_2, conjecture,
% 55.69/8.64 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 55.69/8.64 thf(zf_stmt_0, negated_conjecture,
% 55.69/8.64 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 55.69/8.64 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 55.69/8.64 thf(zip_derived_cl1, plain,
% 55.69/8.64 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 55.69/8.64 inference('cnf', [status(esa)], [zf_stmt_0])).
% 55.69/8.64 thf(zip_derived_cl6138, plain,
% 55.69/8.64 (![X0 : $i]: ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))),
% 55.69/8.64 inference('sup-', [status(thm)], [zip_derived_cl5960, zip_derived_cl1])).
% 55.69/8.64 thf(zip_derived_cl6358, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X0 @
% 55.69/8.64 (inverse @
% 55.69/8.64 (multiply @
% 55.69/8.64 (multiply @ (inverse @ (inverse @ X1)) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ a2) @ X1))) @
% 55.69/8.64 X0))))
% 55.69/8.64 != (a2))),
% 55.69/8.64 inference('sup-', [status(thm)], [zip_derived_cl2830, zip_derived_cl6138])).
% 55.69/8.64 thf(zip_derived_cl5960, plain,
% 55.69/8.64 (![X0 : $i, X4 : $i]:
% 55.69/8.64 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl5769, zip_derived_cl5579])).
% 55.69/8.64 thf(zip_derived_cl1666, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X5 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X0 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @ (inverse @ X5) @ (inverse @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl1538, zip_derived_cl1493])).
% 55.69/8.64 thf(zip_derived_cl6098, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 55.69/8.64 (multiply @ (inverse @ X0) @ X0))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl5960, zip_derived_cl1666])).
% 55.69/8.64 thf(zip_derived_cl5960, plain,
% 55.69/8.64 (![X0 : $i, X4 : $i]:
% 55.69/8.64 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl5769, zip_derived_cl5579])).
% 55.69/8.64 thf(zip_derived_cl6098, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 55.69/8.64 ((inverse @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 55.69/8.64 (multiply @ (inverse @ X0) @ X0))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl5960, zip_derived_cl1666])).
% 55.69/8.64 thf(zip_derived_cl7320, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i]:
% 55.69/8.64 ((inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))
% 55.69/8.64 = (inverse @ X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl5960, zip_derived_cl6098])).
% 55.69/8.64 thf(zip_derived_cl508, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X2))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 55.69/8.64 thf(zip_derived_cl7407, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 55.69/8.64 ((multiply @ X3 @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X4) @ X2) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X0) @ (multiply @ X3 @ X2))))))
% 55.69/8.64 = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl7320, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl508, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 55.69/8.64 ((multiply @ X1 @
% 55.69/8.64 (multiply @ X3 @
% 55.69/8.64 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 55.69/8.64 = (X2))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 55.69/8.64 thf(zip_derived_cl7595, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i]:
% 55.69/8.64 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 55.69/8.64 inference('demod', [status(thm)], [zip_derived_cl7407, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl7605, plain,
% 55.69/8.64 (![X1 : $i, X2 : $i]:
% 55.69/8.64 ((inverse @ (multiply @ X2 @ (inverse @ (multiply @ X1 @ X2)))) = (X1))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl6098, zip_derived_cl7595])).
% 55.69/8.64 thf(zip_derived_cl8105, plain,
% 55.69/8.64 (![X1 : $i]:
% 55.69/8.64 ((multiply @ (inverse @ (inverse @ X1)) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ a2) @ X1))) != (a2))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl6358, zip_derived_cl7605])).
% 55.69/8.64 thf(zip_derived_cl1920, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 55.69/8.64 ((multiply @ X3 @
% 55.69/8.64 (multiply @ X4 @
% 55.69/8.64 (multiply @ (inverse @ X4) @ (inverse @ (multiply @ X0 @ X3)))))
% 55.69/8.64 = (multiply @ (inverse @ X2) @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl1690])).
% 55.69/8.64 thf(zip_derived_cl1690, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X5 : $i]:
% 55.69/8.64 ((multiply @ X0 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl1563, zip_derived_cl1493])).
% 55.69/8.64 thf(zip_derived_cl2398, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 55.69/8.64 ((multiply @ (inverse @ X2) @
% 55.69/8.64 (multiply @ X2 @
% 55.69/8.64 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl1920, zip_derived_cl1690])).
% 55.69/8.64 thf(zip_derived_cl7595, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i]:
% 55.69/8.64 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 55.69/8.64 inference('demod', [status(thm)], [zip_derived_cl7407, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl1690, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i, X5 : $i]:
% 55.69/8.64 ((multiply @ X0 @
% 55.69/8.64 (multiply @ X5 @
% 55.69/8.64 (multiply @ (inverse @ X5) @
% 55.69/8.64 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 55.69/8.64 = (X1))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl1563, zip_derived_cl1493])).
% 55.69/8.64 thf(zip_derived_cl7672, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i]:
% 55.69/8.64 ((multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X0))) = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl7595, zip_derived_cl1690])).
% 55.69/8.64 thf(zip_derived_cl8369, plain,
% 55.69/8.64 (![X1 : $i, X2 : $i]:
% 55.69/8.64 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X1)) = (X1))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl2398, zip_derived_cl7672])).
% 55.69/8.64 thf(zip_derived_cl7595, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i]:
% 55.69/8.64 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 55.69/8.64 inference('demod', [status(thm)], [zip_derived_cl7407, zip_derived_cl508])).
% 55.69/8.64 thf(zip_derived_cl8690, plain,
% 55.69/8.64 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl8369, zip_derived_cl7595])).
% 55.69/8.64 thf(zip_derived_cl7672, plain,
% 55.69/8.64 (![X0 : $i, X1 : $i]:
% 55.69/8.64 ((multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X0))) = (X1))),
% 55.69/8.64 inference('sup+', [status(thm)], [zip_derived_cl7595, zip_derived_cl1690])).
% 55.69/8.64 thf(zip_derived_cl8961, plain, (((a2) != (a2))),
% 55.69/8.64 inference('demod', [status(thm)],
% 55.69/8.64 [zip_derived_cl8105, zip_derived_cl8690, zip_derived_cl7672])).
% 55.69/8.64 thf(zip_derived_cl8962, plain, ($false),
% 55.69/8.64 inference('simplify', [status(thm)], [zip_derived_cl8961])).
% 55.69/8.64
% 55.69/8.64 % SZS output end Refutation
% 55.69/8.64
% 55.69/8.64
% 55.69/8.64 % Terminating...
% 56.21/8.71 % Runner terminated.
% 56.21/8.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------