%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP439-1 : 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.FiSynbftI6 true
% Computer : n015.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 34.20s 5.54s
% Output : Refutation 34.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GRP439-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FiSynbftI6 true
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 14:17:08 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.39/0.62 % Total configuration time : 435
% 0.39/0.62 % Estimated wc time : 1092
% 0.39/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 34.20/5.54 % Solved by fo/fo4.sh.
% 34.20/5.54 % done 181 iterations in 4.786s
% 34.20/5.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 34.20/5.54 % SZS output start Refutation
% 34.20/5.54 thf(a1_type, type, a1: $i).
% 34.20/5.54 thf(b1_type, type, b1: $i).
% 34.20/5.54 thf(inverse_type, type, inverse: $i > $i).
% 34.20/5.54 thf(multiply_type, type, multiply: $i > $i > $i).
% 34.20/5.54 thf(single_axiom, axiom,
% 34.20/5.54 (( inverse @
% 34.20/5.54 ( multiply @
% 34.20/5.54 A @
% 34.20/5.54 ( multiply @
% 34.20/5.54 B @
% 34.20/5.54 ( multiply @
% 34.20/5.54 ( multiply @ ( inverse @ B ) @ C ) @
% 34.20/5.54 ( inverse @ ( multiply @ D @ ( multiply @ A @ C ) ) ) ) ) ) ) =
% 34.20/5.54 ( D ))).
% 34.20/5.54 thf(zip_derived_cl0, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X1 @
% 34.20/5.54 (multiply @ X2 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 34.20/5.54 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 34.20/5.54 = (X0))),
% 34.20/5.54 inference('cnf', [status(esa)], [single_axiom])).
% 34.20/5.54 thf(zip_derived_cl0, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X1 @
% 34.20/5.54 (multiply @ X2 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 34.20/5.54 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 34.20/5.54 = (X0))),
% 34.20/5.54 inference('cnf', [status(esa)], [single_axiom])).
% 34.20/5.54 thf(zip_derived_cl0, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X1 @
% 34.20/5.54 (multiply @ X2 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 34.20/5.54 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 34.20/5.54 = (X0))),
% 34.20/5.54 inference('cnf', [status(esa)], [single_axiom])).
% 34.20/5.54 thf(zip_derived_cl3, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @ X4 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X4) @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X3) @ X2) @
% 34.20/5.54 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2))))) @
% 34.20/5.54 X0))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 34.20/5.54 thf(zip_derived_cl0, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X1 @
% 34.20/5.54 (multiply @ X2 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 34.20/5.54 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 34.20/5.54 = (X0))),
% 34.20/5.54 inference('cnf', [status(esa)], [single_axiom])).
% 34.20/5.54 thf(zip_derived_cl9, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X4 @
% 34.20/5.54 (multiply @ X5 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X5) @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X4) @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X1) @ X3) @
% 34.20/5.54 (inverse @ (multiply @ X2 @ (multiply @ X0 @ X3))))) @
% 34.20/5.54 X2)) @
% 34.20/5.54 X0))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 34.20/5.54 thf(zip_derived_cl29, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 34.20/5.54 X7 : $i, X8 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X7 @
% 34.20/5.54 (multiply @ X8 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X8) @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X7) @
% 34.20/5.54 (multiply @ (multiply @ X0 @ X6) @
% 34.20/5.54 (inverse @ (multiply @ X5 @ (multiply @ X4 @ X6))))) @
% 34.20/5.54 X5)) @
% 34.20/5.54 X4))))
% 34.20/5.54 = (multiply @ X2 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X3) @ X1) @
% 34.20/5.54 (inverse @ (multiply @ X0 @ (multiply @ X2 @ X1)))))))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 34.20/5.54 thf(zip_derived_cl9, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X4 @
% 34.20/5.54 (multiply @ X5 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X5) @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X4) @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X1) @ X3) @
% 34.20/5.54 (inverse @ (multiply @ X2 @ (multiply @ X0 @ X3))))) @
% 34.20/5.54 X2)) @
% 34.20/5.54 X0))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 34.20/5.54 thf(zip_derived_cl203, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 34.20/5.54 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 34.20/5.54 = (X2))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 34.20/5.54 thf(zip_derived_cl203, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 34.20/5.54 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 34.20/5.54 = (X2))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 34.20/5.54 thf(zip_derived_cl0, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X1 @
% 34.20/5.54 (multiply @ X2 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 34.20/5.54 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 34.20/5.54 = (X0))),
% 34.20/5.54 inference('cnf', [status(esa)], [single_axiom])).
% 34.20/5.54 thf(zip_derived_cl408, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @ X5 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X5) @
% 34.20/5.54 (multiply @ X4 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X4) @ X2) @
% 34.20/5.54 (inverse @ (multiply @ (inverse @ X0) @ (multiply @ X3 @ X2)))))) @
% 34.20/5.54 (inverse @ (multiply @ X1 @ X0))))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl0])).
% 34.20/5.54 thf(zip_derived_cl938, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X3 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl408])).
% 34.20/5.54 thf(zip_derived_cl203, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 34.20/5.54 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 34.20/5.54 = (X2))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 34.20/5.54 thf(zip_derived_cl1060, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 34.20/5.54 X0)))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl203])).
% 34.20/5.54 thf(zip_derived_cl1060, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 34.20/5.54 X0)))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl203])).
% 34.20/5.54 thf(zip_derived_cl0, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X1 @
% 34.20/5.54 (multiply @ X2 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 34.20/5.54 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 34.20/5.54 = (X0))),
% 34.20/5.54 inference('cnf', [status(esa)], [single_axiom])).
% 34.20/5.54 thf(zip_derived_cl1099, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X0 @
% 34.20/5.54 (multiply @ X5 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X5) @
% 34.20/5.54 (multiply @ X4 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X4) @
% 34.20/5.54 (multiply @ X3 @ (inverse @ (multiply @ X2 @ X3)))) @
% 34.20/5.54 X2))) @
% 34.20/5.54 (inverse @ (multiply @ X1 @ X0))))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl1060, zip_derived_cl0])).
% 34.20/5.54 thf(zip_derived_cl1060, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 34.20/5.54 X0)))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl203])).
% 34.20/5.54 thf(zip_derived_cl1206, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X5 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ X0 @
% 34.20/5.54 (multiply @ X5 @
% 34.20/5.54 (multiply @ (inverse @ X5) @ (inverse @ (multiply @ X1 @ X0))))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('demod', [status(thm)],
% 34.20/5.54 [zip_derived_cl1099, zip_derived_cl1060])).
% 34.20/5.54 thf(zip_derived_cl1060, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 34.20/5.54 X0)))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl203])).
% 34.20/5.54 thf(zip_derived_cl1280, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X4 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X4) @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @ (inverse @ X3) @ (inverse @ (multiply @ X0 @ X2)))) @
% 34.20/5.54 X0)) @
% 34.20/5.54 X2)))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl1206, zip_derived_cl1060])).
% 34.20/5.54 thf(zip_derived_cl4985, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.20/5.54 ((multiply @ X6 @
% 34.20/5.54 (multiply @ X5 @
% 34.20/5.54 (multiply @ (inverse @ X5) @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ X4 @
% 34.20/5.54 (multiply @ (inverse @ X4) @
% 34.20/5.54 (inverse @
% 34.20/5.54 (multiply @ X0 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X2)))) @
% 34.20/5.54 X1)))))) @
% 34.20/5.54 X0))))
% 34.20/5.54 = (X6))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl1060, zip_derived_cl1280])).
% 34.20/5.54 thf(zip_derived_cl1060, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 34.20/5.54 X0)))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl203])).
% 34.20/5.54 thf(zip_derived_cl5070, plain,
% 34.20/5.54 (![X0 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.20/5.54 ((multiply @ X6 @
% 34.20/5.54 (multiply @ X5 @
% 34.20/5.54 (multiply @ (inverse @ X5) @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ X4 @ (multiply @ (inverse @ X4) @ (inverse @ X0))) @
% 34.20/5.54 X0))))
% 34.20/5.54 = (X6))),
% 34.20/5.54 inference('demod', [status(thm)],
% 34.20/5.54 [zip_derived_cl4985, zip_derived_cl1060])).
% 34.20/5.54 thf(zip_derived_cl938, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X3 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl408])).
% 34.20/5.54 thf(zip_derived_cl1060, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 34.20/5.54 X0)))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl203])).
% 34.20/5.54 thf(zip_derived_cl203, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 34.20/5.54 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 34.20/5.54 = (X2))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 34.20/5.54 thf(zip_derived_cl1120, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.20/5.54 ((multiply @ X0 @
% 34.20/5.54 (multiply @ X5 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X5) @
% 34.20/5.54 (multiply @ X4 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X4) @
% 34.20/5.54 (multiply @ X3 @ (inverse @ (multiply @ X2 @ X3)))) @
% 34.20/5.54 X2))) @
% 34.20/5.54 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl1060, zip_derived_cl203])).
% 34.20/5.54 thf(zip_derived_cl1060, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X1 @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 34.20/5.54 X0)))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl203])).
% 34.20/5.54 thf(zip_derived_cl1226, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X5 : $i]:
% 34.20/5.54 ((multiply @ X0 @
% 34.20/5.54 (multiply @ X5 @
% 34.20/5.54 (multiply @ (inverse @ X5) @
% 34.20/5.54 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('demod', [status(thm)],
% 34.20/5.54 [zip_derived_cl1120, zip_derived_cl1060])).
% 34.20/5.54 thf(zip_derived_cl1402, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @
% 34.20/5.54 (multiply @ X1 @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 34.20/5.54 (multiply @ X3 @ (multiply @ (inverse @ X3) @ X0))) = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl1226])).
% 34.20/5.54 thf(zip_derived_cl5263, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X3 @
% 34.20/5.54 (multiply @ X0 @
% 34.20/5.54 (inverse @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ X2 @ (multiply @ (inverse @ X2) @ (inverse @ X1))) @
% 34.20/5.54 X1) @
% 34.20/5.54 X0))))
% 34.20/5.54 = (X3))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl5070, zip_derived_cl1402])).
% 34.20/5.54 thf(zip_derived_cl938, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X3 : $i]:
% 34.20/5.54 ((inverse @
% 34.20/5.54 (multiply @ (inverse @ X3) @
% 34.20/5.54 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl408])).
% 34.20/5.54 thf(zip_derived_cl1226, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X5 : $i]:
% 34.20/5.54 ((multiply @ X0 @
% 34.20/5.54 (multiply @ X5 @
% 34.20/5.54 (multiply @ (inverse @ X5) @
% 34.20/5.54 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 34.20/5.54 = (X1))),
% 34.20/5.54 inference('demod', [status(thm)],
% 34.20/5.54 [zip_derived_cl1120, zip_derived_cl1060])).
% 34.20/5.54 thf(zip_derived_cl1422, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.20/5.54 ((multiply @ X3 @
% 34.20/5.54 (multiply @ X4 @
% 34.20/5.54 (multiply @ (inverse @ X4) @ (inverse @ (multiply @ X0 @ X3)))))
% 34.20/5.54 = (multiply @ (inverse @ X2) @
% 34.20/5.54 (multiply @ X2 @
% 34.20/5.54 (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl1226])).
% 34.20/5.54 thf(zip_derived_cl6375, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.20/5.54 ((multiply @ (inverse @ X0) @ X0)
% 34.20/5.54 = (multiply @ (inverse @ X4) @
% 34.20/5.54 (multiply @ X4 @
% 34.20/5.54 (multiply @ X1 @
% 34.20/5.54 (inverse @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ X3 @
% 34.20/5.54 (multiply @ (inverse @ X3) @ (inverse @ X2))) @
% 34.20/5.54 X2) @
% 34.20/5.54 X1))))))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl5263, zip_derived_cl1422])).
% 34.20/5.54 thf(zip_derived_cl5263, plain,
% 34.20/5.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.20/5.54 ((multiply @ X3 @
% 34.20/5.54 (multiply @ X0 @
% 34.20/5.54 (inverse @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @
% 34.20/5.54 (multiply @ X2 @ (multiply @ (inverse @ X2) @ (inverse @ X1))) @
% 34.20/5.54 X1) @
% 34.20/5.54 X0))))
% 34.20/5.54 = (X3))),
% 34.20/5.54 inference('sup+', [status(thm)], [zip_derived_cl5070, zip_derived_cl1402])).
% 34.20/5.54 thf(zip_derived_cl6586, plain,
% 34.20/5.54 (![X0 : $i, X4 : $i]:
% 34.20/5.54 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 34.20/5.54 inference('demod', [status(thm)],
% 34.20/5.54 [zip_derived_cl6375, zip_derived_cl5263])).
% 34.20/5.54 thf(prove_these_axioms_1, conjecture,
% 34.20/5.54 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 34.20/5.54 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 34.20/5.54 thf(zf_stmt_0, negated_conjecture,
% 34.20/5.54 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 34.20/5.54 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 34.20/5.54 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 34.20/5.54 thf(zip_derived_cl1, plain,
% 34.20/5.54 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 34.20/5.54 inference('cnf', [status(esa)], [zf_stmt_0])).
% 34.20/5.54 thf(zip_derived_cl6782, plain,
% 34.20/5.54 (![X0 : $i]:
% 34.20/5.54 ((multiply @ (inverse @ X0) @ X0) != (multiply @ (inverse @ b1) @ b1))),
% 34.20/5.54 inference('sup-', [status(thm)], [zip_derived_cl6586, zip_derived_cl1])).
% 34.20/5.54 thf(zip_derived_cl6586, plain,
% 34.20/5.54 (![X0 : $i, X4 : $i]:
% 34.20/5.54 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 34.20/5.54 inference('demod', [status(thm)],
% 34.20/5.54 [zip_derived_cl6375, zip_derived_cl5263])).
% 34.20/5.54 thf(zip_derived_cl7007, plain, ($false),
% 34.20/5.54 inference('simplify_reflect+', [status(thm)],
% 34.20/5.54 [zip_derived_cl6782, zip_derived_cl6586])).
% 34.20/5.54
% 34.20/5.54 % SZS output end Refutation
% 34.20/5.54
% 34.20/5.54
% 34.20/5.54 % Terminating...
% 35.10/5.65 % Runner terminated.
% 35.10/5.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------