TSTP Solution File: GRP441-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP441-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iGoFRPmjrU true
% Computer : n022.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 Aug 31 01:51:39 EDT 2023
% Result : Unsatisfiable 62.14s 9.59s
% Output : Refutation 62.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP441-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iGoFRPmjrU true
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 01:02:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 62.14/9.59 % Solved by fo/fo7.sh.
% 62.14/9.59 % done 1177 iterations in 8.831s
% 62.14/9.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 62.14/9.59 % SZS output start Refutation
% 62.14/9.59 thf(a3_type, type, a3: $i).
% 62.14/9.59 thf(b3_type, type, b3: $i).
% 62.14/9.59 thf(inverse_type, type, inverse: $i > $i).
% 62.14/9.59 thf(multiply_type, type, multiply: $i > $i > $i).
% 62.14/9.59 thf(c3_type, type, c3: $i).
% 62.14/9.59 thf(prove_these_axioms_3, conjecture,
% 62.14/9.59 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 62.14/9.59 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 62.14/9.59 thf(zf_stmt_0, negated_conjecture,
% 62.14/9.59 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 62.14/9.59 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 62.14/9.59 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 62.14/9.59 thf(zip_derived_cl1, plain,
% 62.14/9.59 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 62.14/9.59 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 62.14/9.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 62.14/9.59 thf(single_axiom, axiom,
% 62.14/9.59 (( inverse @
% 62.14/9.59 ( multiply @
% 62.14/9.59 A @
% 62.14/9.59 ( multiply @
% 62.14/9.59 B @
% 62.14/9.59 ( multiply @
% 62.14/9.59 ( multiply @ ( inverse @ B ) @ C ) @
% 62.14/9.59 ( inverse @ ( multiply @ D @ ( multiply @ A @ C ) ) ) ) ) ) ) =
% 62.14/9.59 ( D ))).
% 62.14/9.59 thf(zip_derived_cl0, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X1 @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 62.14/9.59 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 62.14/9.59 = (X0))),
% 62.14/9.59 inference('cnf', [status(esa)], [single_axiom])).
% 62.14/9.59 thf(zip_derived_cl0, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X1 @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 62.14/9.59 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 62.14/9.59 = (X0))),
% 62.14/9.59 inference('cnf', [status(esa)], [single_axiom])).
% 62.14/9.59 thf(zip_derived_cl0, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X1 @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 62.14/9.59 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 62.14/9.59 = (X0))),
% 62.14/9.59 inference('cnf', [status(esa)], [single_axiom])).
% 62.14/9.59 thf(zip_derived_cl3, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X4) @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ X2) @
% 62.14/9.59 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2))))) @
% 62.14/9.59 X0))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 62.14/9.59 thf(zip_derived_cl0, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X1 @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 62.14/9.59 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 62.14/9.59 = (X0))),
% 62.14/9.59 inference('cnf', [status(esa)], [single_axiom])).
% 62.14/9.59 thf(zip_derived_cl9, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X4) @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X1) @ X3) @
% 62.14/9.59 (inverse @ (multiply @ X2 @ (multiply @ X0 @ X3))))) @
% 62.14/9.59 X2)) @
% 62.14/9.59 X0))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 62.14/9.59 thf(zip_derived_cl29, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 62.14/9.59 X7 : $i, X8 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X7 @
% 62.14/9.59 (multiply @ X8 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X8) @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X7) @
% 62.14/9.59 (multiply @ (multiply @ X0 @ X6) @
% 62.14/9.59 (inverse @ (multiply @ X5 @ (multiply @ X4 @ X6))))) @
% 62.14/9.59 X5)) @
% 62.14/9.59 X4))))
% 62.14/9.59 = (multiply @ X2 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ X1) @
% 62.14/9.59 (inverse @ (multiply @ X0 @ (multiply @ X2 @ X1)))))))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 62.14/9.59 thf(zip_derived_cl9, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X4) @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X1) @ X3) @
% 62.14/9.59 (inverse @ (multiply @ X2 @ (multiply @ X0 @ X3))))) @
% 62.14/9.59 X2)) @
% 62.14/9.59 X0))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 62.14/9.59 thf(zip_derived_cl508, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X2))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 62.14/9.59 thf(zip_derived_cl508, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X2))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 62.14/9.59 thf(zip_derived_cl0, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X1 @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 62.14/9.59 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 62.14/9.59 = (X0))),
% 62.14/9.59 inference('cnf', [status(esa)], [single_axiom])).
% 62.14/9.59 thf(zip_derived_cl888, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X4) @ X2) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X0) @ (multiply @ X3 @ X2)))))) @
% 62.14/9.59 (inverse @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl0])).
% 62.14/9.59 thf(zip_derived_cl1349, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X3 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl888])).
% 62.14/9.59 thf(zip_derived_cl508, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X2))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 62.14/9.59 thf(zip_derived_cl1493, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 62.14/9.59 X0)))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl1493, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 62.14/9.59 X0)))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl0, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X1 @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 62.14/9.59 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 62.14/9.59 = (X0))),
% 62.14/9.59 inference('cnf', [status(esa)], [single_axiom])).
% 62.14/9.59 thf(zip_derived_cl1538, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X0 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X4) @
% 62.14/9.59 (multiply @ X3 @ (inverse @ (multiply @ X2 @ X3)))) @
% 62.14/9.59 X2))) @
% 62.14/9.59 (inverse @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl0])).
% 62.14/9.59 thf(zip_derived_cl1493, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 62.14/9.59 X0)))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl1666, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X5 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X0 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @ (inverse @ X5) @ (inverse @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl1538, zip_derived_cl1493])).
% 62.14/9.59 thf(zip_derived_cl1493, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 62.14/9.59 X0)))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl1754, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X4) @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (inverse @ X3) @ (inverse @ (multiply @ X0 @ X2)))) @
% 62.14/9.59 X0)) @
% 62.14/9.59 X2)))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1666, zip_derived_cl1493])).
% 62.14/9.59 thf(zip_derived_cl5304, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 62.14/9.59 ((multiply @ X6 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ (inverse @ X4) @
% 62.14/9.59 (inverse @
% 62.14/9.59 (multiply @ X0 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X2)))) @
% 62.14/9.59 X1)))))) @
% 62.14/9.59 X0))))
% 62.14/9.59 = (X6))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl1754])).
% 62.14/9.59 thf(zip_derived_cl1493, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 62.14/9.59 X0)))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl5391, plain,
% 62.14/9.59 (![X0 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 62.14/9.59 ((multiply @ X6 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ X4 @ (multiply @ (inverse @ X4) @ (inverse @ X0))) @
% 62.14/9.59 X0))))
% 62.14/9.59 = (X6))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl5304, zip_derived_cl1493])).
% 62.14/9.59 thf(zip_derived_cl1349, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X3 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl888])).
% 62.14/9.59 thf(zip_derived_cl1493, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 62.14/9.59 X0)))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl508, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X2))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 62.14/9.59 thf(zip_derived_cl1563, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 62.14/9.59 ((multiply @ X0 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X4) @
% 62.14/9.59 (multiply @ X3 @ (inverse @ (multiply @ X2 @ X3)))) @
% 62.14/9.59 X2))) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl1493, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 62.14/9.59 X0)))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl1690, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X5 : $i]:
% 62.14/9.59 ((multiply @ X0 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl1563, zip_derived_cl1493])).
% 62.14/9.59 thf(zip_derived_cl1899, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @
% 62.14/9.59 (multiply @ X1 @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 62.14/9.59 (multiply @ X3 @ (multiply @ (inverse @ X3) @ X0))) = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl1690])).
% 62.14/9.59 thf(zip_derived_cl5579, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X3 @
% 62.14/9.59 (multiply @ X0 @
% 62.14/9.59 (inverse @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ X2 @ (multiply @ (inverse @ X2) @ (inverse @ X1))) @
% 62.14/9.59 X1) @
% 62.14/9.59 X0))))
% 62.14/9.59 = (X3))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl5391, zip_derived_cl1899])).
% 62.14/9.59 thf(zip_derived_cl1349, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X3 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl888])).
% 62.14/9.59 thf(zip_derived_cl1690, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X5 : $i]:
% 62.14/9.59 ((multiply @ X0 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl1563, zip_derived_cl1493])).
% 62.14/9.59 thf(zip_derived_cl1920, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ X3 @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ (inverse @ X4) @ (inverse @ (multiply @ X0 @ X3)))))
% 62.14/9.59 = (multiply @ (inverse @ X2) @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl1690])).
% 62.14/9.59 thf(zip_derived_cl1920, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ X3 @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ (inverse @ X4) @ (inverse @ (multiply @ X0 @ X3)))))
% 62.14/9.59 = (multiply @ (inverse @ X2) @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl1690])).
% 62.14/9.59 thf(zip_derived_cl2401, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X2) @
% 62.14/9.59 (multiply @ X2 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))))
% 62.14/9.59 = (multiply @ (inverse @ X4) @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ X3 @ (inverse @ (multiply @ X1 @ X3))))))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1920, zip_derived_cl1920])).
% 62.14/9.59 thf(zip_derived_cl5763, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X0) @ X0)
% 62.14/9.59 = (multiply @ (inverse @ X4) @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ X1 @
% 62.14/9.59 (inverse @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (inverse @ X3) @ (inverse @ X2))) @
% 62.14/9.59 X2) @
% 62.14/9.59 X1))))))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl5579, zip_derived_cl2401])).
% 62.14/9.59 thf(zip_derived_cl5579, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X3 @
% 62.14/9.59 (multiply @ X0 @
% 62.14/9.59 (inverse @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ X2 @ (multiply @ (inverse @ X2) @ (inverse @ X1))) @
% 62.14/9.59 X1) @
% 62.14/9.59 X0))))
% 62.14/9.59 = (X3))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl5391, zip_derived_cl1899])).
% 62.14/9.59 thf(zip_derived_cl5959, plain,
% 62.14/9.59 (![X0 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl5763, zip_derived_cl5579])).
% 62.14/9.59 thf(zip_derived_cl5959, plain,
% 62.14/9.59 (![X0 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl5763, zip_derived_cl5579])).
% 62.14/9.59 thf(zip_derived_cl1666, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X5 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X0 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @ (inverse @ X5) @ (inverse @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl1538, zip_derived_cl1493])).
% 62.14/9.59 thf(zip_derived_cl6098, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.14/9.59 ((inverse @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 62.14/9.59 (multiply @ (inverse @ X0) @ X0))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl5959, zip_derived_cl1666])).
% 62.14/9.59 thf(zip_derived_cl6930, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i]:
% 62.14/9.59 ((inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))
% 62.14/9.59 = (inverse @ X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl5959, zip_derived_cl6098])).
% 62.14/9.59 thf(zip_derived_cl508, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X2))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 62.14/9.59 thf(zip_derived_cl7017, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ X3 @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X4) @ X2) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X0) @ (multiply @ X3 @ X2))))))
% 62.14/9.59 = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl6930, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl508, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X2))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 62.14/9.59 thf(zip_derived_cl7194, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i]:
% 62.14/9.59 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 62.14/9.59 inference('demod', [status(thm)], [zip_derived_cl7017, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl5959, plain,
% 62.14/9.59 (![X0 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl5763, zip_derived_cl5579])).
% 62.14/9.59 thf(zip_derived_cl7310, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i]:
% 62.14/9.59 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.14/9.59 = (multiply @ (inverse @ X1) @ X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl7194, zip_derived_cl5959])).
% 62.14/9.59 thf(zip_derived_cl2401, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X2) @
% 62.14/9.59 (multiply @ X2 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))))
% 62.14/9.59 = (multiply @ (inverse @ X4) @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ X3 @ (inverse @ (multiply @ X1 @ X3))))))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1920, zip_derived_cl1920])).
% 62.14/9.59 thf(zip_derived_cl7691, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X4) @
% 62.14/9.59 (multiply @ X4 @ (multiply @ X2 @ (multiply @ (inverse @ X0) @ X0))))
% 62.14/9.59 = (multiply @ (inverse @ X3) @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X2) @ X1))))))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl7310, zip_derived_cl2401])).
% 62.14/9.59 thf(zip_derived_cl7194, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i]:
% 62.14/9.59 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 62.14/9.59 inference('demod', [status(thm)], [zip_derived_cl7017, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl1920, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ X3 @
% 62.14/9.59 (multiply @ X4 @
% 62.14/9.59 (multiply @ (inverse @ X4) @ (inverse @ (multiply @ X0 @ X3)))))
% 62.14/9.59 = (multiply @ (inverse @ X2) @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1349, zip_derived_cl1690])).
% 62.14/9.59 thf(zip_derived_cl1690, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X5 : $i]:
% 62.14/9.59 ((multiply @ X0 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl1563, zip_derived_cl1493])).
% 62.14/9.59 thf(zip_derived_cl2398, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X2) @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl1920, zip_derived_cl1690])).
% 62.14/9.59 thf(zip_derived_cl7818, plain,
% 62.14/9.59 (![X2 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X2)) = (X2))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl7691, zip_derived_cl7194, zip_derived_cl2398])).
% 62.14/9.59 thf(zip_derived_cl7194, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i]:
% 62.14/9.59 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 62.14/9.59 inference('demod', [status(thm)], [zip_derived_cl7017, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl5391, plain,
% 62.14/9.59 (![X0 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 62.14/9.59 ((multiply @ X6 @
% 62.14/9.59 (multiply @ X5 @
% 62.14/9.59 (multiply @ (inverse @ X5) @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ X4 @ (multiply @ (inverse @ X4) @ (inverse @ X0))) @
% 62.14/9.59 X0))))
% 62.14/9.59 = (X6))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl5304, zip_derived_cl1493])).
% 62.14/9.59 thf(zip_derived_cl7281, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X2 @
% 62.14/9.59 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X0) @ X0))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl7194, zip_derived_cl5391])).
% 62.14/9.59 thf(zip_derived_cl7194, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i]:
% 62.14/9.59 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 62.14/9.59 inference('demod', [status(thm)], [zip_derived_cl7017, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl7415, plain,
% 62.14/9.59 (![X1 : $i, X2 : $i]:
% 62.14/9.59 ((multiply @ X1 @ (multiply @ X2 @ (inverse @ X2))) = (X1))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl7281, zip_derived_cl7194])).
% 62.14/9.59 thf(zip_derived_cl7818, plain,
% 62.14/9.59 (![X2 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X2)) = (X2))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl7691, zip_derived_cl7194, zip_derived_cl2398])).
% 62.14/9.59 thf(zip_derived_cl8254, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X0) @ X0) = (multiply @ X1 @ (inverse @ X1)))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl7415, zip_derived_cl7818])).
% 62.14/9.59 thf(zip_derived_cl508, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X1 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 62.14/9.59 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 62.14/9.59 = (X2))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 62.14/9.59 thf(zip_derived_cl8463, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X2 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ (inverse @ X2)) @
% 62.14/9.59 (inverse @
% 62.14/9.59 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl8254, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl7194, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i]:
% 62.14/9.59 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 62.14/9.59 inference('demod', [status(thm)], [zip_derived_cl7017, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl7818, plain,
% 62.14/9.59 (![X2 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X2)) = (X2))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl7691, zip_derived_cl7194, zip_derived_cl2398])).
% 62.14/9.59 thf(zip_derived_cl7194, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i]:
% 62.14/9.59 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 62.14/9.59 inference('demod', [status(thm)], [zip_derived_cl7017, zip_derived_cl508])).
% 62.14/9.59 thf(zip_derived_cl8176, plain,
% 62.14/9.59 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl7818, zip_derived_cl7194])).
% 62.14/9.59 thf(zip_derived_cl8711, plain,
% 62.14/9.59 (![X1 : $i, X2 : $i, X3 : $i]:
% 62.14/9.59 ((multiply @ X2 @
% 62.14/9.59 (multiply @ X3 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X3) @ (inverse @ X2)) @ X1)))
% 62.14/9.59 = (X1))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl8463, zip_derived_cl7194, zip_derived_cl8176])).
% 62.14/9.59 thf(zip_derived_cl8176, plain,
% 62.14/9.59 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl7818, zip_derived_cl7194])).
% 62.14/9.59 thf(zip_derived_cl7818, plain,
% 62.14/9.59 (![X2 : $i, X4 : $i]:
% 62.14/9.59 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X2)) = (X2))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl7691, zip_derived_cl7194, zip_derived_cl2398])).
% 62.14/9.59 thf(zip_derived_cl8361, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i]:
% 62.14/9.59 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl8176, zip_derived_cl7818])).
% 62.14/9.59 thf(zip_derived_cl16284, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.14/9.59 ((multiply @ X1 @ X0)
% 62.14/9.59 = (multiply @ X2 @
% 62.14/9.59 (multiply @
% 62.14/9.59 (multiply @ (inverse @ X2) @ (inverse @ (inverse @ X1))) @ X0)))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl8711, zip_derived_cl8361])).
% 62.14/9.59 thf(zip_derived_cl8176, plain,
% 62.14/9.59 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 62.14/9.59 inference('sup+', [status(thm)], [zip_derived_cl7818, zip_derived_cl7194])).
% 62.14/9.59 thf(zip_derived_cl16442, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.14/9.59 ((multiply @ X1 @ X0)
% 62.14/9.59 = (multiply @ X2 @
% 62.14/9.59 (multiply @ (multiply @ (inverse @ X2) @ X1) @ X0)))),
% 62.14/9.59 inference('demod', [status(thm)],
% 62.14/9.59 [zip_derived_cl16284, zip_derived_cl8176])).
% 62.14/9.59 thf(zip_derived_cl16530, plain,
% 62.14/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.14/9.59 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 62.14/9.59 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 62.14/9.59 inference('sup+', [status(thm)],
% 62.14/9.59 [zip_derived_cl7818, zip_derived_cl16442])).
% 62.14/9.59 thf(zip_derived_cl16584, plain,
% 62.14/9.59 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 62.14/9.59 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 62.14/9.59 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl16530])).
% 62.14/9.59 thf(zip_derived_cl16585, plain, ($false),
% 62.14/9.59 inference('simplify', [status(thm)], [zip_derived_cl16584])).
% 62.14/9.59
% 62.14/9.59 % SZS output end Refutation
% 62.14/9.59
% 62.14/9.59
% 62.14/9.59 % Terminating...
% 62.83/9.67 % Runner terminated.
% 62.83/9.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------