TSTP Solution File: GRP423-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP423-1 : 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.rF5FOkjMSt true
% Computer : n017.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 01:51:35 EDT 2023
% Result : Unsatisfiable 276.72s 40.49s
% Output : Refutation 276.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP423-1 : 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.rF5FOkjMSt true
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 20:58:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.65 % Total configuration time : 435
% 0.23/0.65 % Estimated wc time : 1092
% 0.23/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 276.72/40.49 % Solved by fo/fo7.sh.
% 276.72/40.49 % done 1454 iterations in 39.700s
% 276.72/40.49 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 276.72/40.49 % SZS output start Refutation
% 276.72/40.49 thf(b3_type, type, b3: $i).
% 276.72/40.49 thf(c3_type, type, c3: $i).
% 276.72/40.49 thf(inverse_type, type, inverse: $i > $i).
% 276.72/40.49 thf(multiply_type, type, multiply: $i > $i > $i).
% 276.72/40.49 thf(a3_type, type, a3: $i).
% 276.72/40.49 thf(prove_these_axioms_3, conjecture,
% 276.72/40.49 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 276.72/40.49 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 276.72/40.49 thf(zf_stmt_0, negated_conjecture,
% 276.72/40.49 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 276.72/40.49 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 276.72/40.49 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 276.72/40.49 thf(zip_derived_cl1, plain,
% 276.72/40.49 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 276.72/40.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 276.72/40.49 inference('cnf', [status(esa)], [zf_stmt_0])).
% 276.72/40.49 thf(single_axiom, axiom,
% 276.72/40.49 (( inverse @
% 276.72/40.49 ( multiply @
% 276.72/40.49 ( inverse @
% 276.72/40.49 ( multiply @
% 276.72/40.49 A @
% 276.72/40.49 ( inverse @
% 276.72/40.49 ( multiply @
% 276.72/40.49 ( inverse @ B ) @
% 276.72/40.49 ( multiply @
% 276.72/40.49 ( inverse @ C ) @
% 276.72/40.49 ( inverse @ ( multiply @ ( inverse @ C ) @ C ) ) ) ) ) ) ) @
% 276.72/40.49 ( multiply @ A @ C ) ) ) =
% 276.72/40.49 ( B ))).
% 276.72/40.49 thf(zip_derived_cl0, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X1 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @ (inverse @ X2) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X1 @ X2)))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('cnf', [status(esa)], [single_axiom])).
% 276.72/40.49 thf(zip_derived_cl0, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X1 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @ (inverse @ X2) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X1 @ X2)))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('cnf', [status(esa)], [single_axiom])).
% 276.72/40.49 thf(zip_derived_cl5, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 276.72/40.49 = (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl0, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X1 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @ (inverse @ X2) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X1 @ X2)))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('cnf', [status(esa)], [single_axiom])).
% 276.72/40.49 thf(zip_derived_cl17, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 276.72/40.49 (multiply @ X1 @ X0)))) @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 276.72/40.49 = (X2))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl5, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 276.72/40.49 = (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl5, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 276.72/40.49 = (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl18, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0)))
% 276.72/40.49 = (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 276.72/40.49 (multiply @ X1 @ X0))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl5])).
% 276.72/40.49 thf(zip_derived_cl0, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X1 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @ (inverse @ X2) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X1 @ X2)))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('cnf', [status(esa)], [single_axiom])).
% 276.72/40.49 thf(zip_derived_cl71, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 276.72/40.49 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 276.72/40.49 (multiply @ X3 @ X0)))
% 276.72/40.49 = (multiply @ (inverse @ X0) @ X2))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl426, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X0 @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 276.72/40.49 (multiply @ X4 @ X1)))) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X3 @ X2)))
% 276.72/40.49 = (multiply @ (inverse @ X2) @
% 276.72/40.49 (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X1) @ X1)))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl71])).
% 276.72/40.49 thf(zip_derived_cl0, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X1 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @ (inverse @ X2) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X1 @ X2)))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('cnf', [status(esa)], [single_axiom])).
% 276.72/40.49 thf(zip_derived_cl10258, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 276.72/40.49 (multiply @ X1 @ X0)))) @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 276.72/40.49 = (X2))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl426, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl17, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 276.72/40.49 (multiply @ X1 @ X0)))) @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 276.72/40.49 = (X2))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl18, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0)))
% 276.72/40.49 = (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 276.72/40.49 (multiply @ X1 @ X0))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl5])).
% 276.72/40.49 thf(zip_derived_cl71, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 276.72/40.49 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 276.72/40.49 (multiply @ X3 @ X0)))
% 276.72/40.49 = (multiply @ (inverse @ X0) @ X2))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl425, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X5 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 276.72/40.49 (multiply @ X1 @ X0))) @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X4) @ X4))))))) @
% 276.72/40.49 (multiply @ X5 @ X4)))
% 276.72/40.49 = (multiply @ (inverse @ X4) @ (multiply @ X3 @ X0)))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl71])).
% 276.72/40.49 thf(zip_derived_cl0, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X1 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @ (inverse @ X2) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X1 @ X2)))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('cnf', [status(esa)], [single_axiom])).
% 276.72/40.49 thf(zip_derived_cl1396, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 276.72/40.49 (multiply @ X3 @ X0)))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl1396, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 276.72/40.49 (multiply @ X3 @ X0)))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl1550, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 276.72/40.49 ((multiply @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X5)) @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0)))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 276.72/40.49 (multiply @ X4 @ (multiply @ X3 @ X0))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl1396, zip_derived_cl1396])).
% 276.72/40.49 thf(zip_derived_cl1396, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 276.72/40.49 (multiply @ X3 @ X0)))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl1396, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 276.72/40.49 (multiply @ X3 @ X0)))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl1532, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 276.72/40.49 ((multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))) @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X5 @ X2)) @ X3))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X4 @ (multiply @ X5 @ X0))) @
% 276.72/40.49 (multiply @ X4 @ X3)))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl1396, zip_derived_cl1396])).
% 276.72/40.49 thf(zip_derived_cl2207, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ (multiply @ X2 @ (multiply @ X1 @ X3))) @
% 276.72/40.49 (multiply @ X2 @ (multiply @ X1 @ X0)))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X5 @ (multiply @ X4 @ X3))) @
% 276.72/40.49 (multiply @ X5 @ (multiply @ X4 @ X0))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl1550, zip_derived_cl1532])).
% 276.72/40.49 thf(zip_derived_cl2641, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 276.72/40.49 ((multiply @ X0 @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X5 @ X0)) @
% 276.72/40.49 (multiply @ X5 @ X4)))) @
% 276.72/40.49 (multiply @ (inverse @ X4) @ X1)))
% 276.72/40.49 = (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X4) @ X4))))) @
% 276.72/40.49 (multiply @ X3 @ (multiply @ X2 @ X1))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl2207])).
% 276.72/40.49 thf(zip_derived_cl10668, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X0) @ X0)
% 276.72/40.49 = (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10258, zip_derived_cl2641])).
% 276.72/40.49 thf(zip_derived_cl10668, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X0) @ X0)
% 276.72/40.49 = (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10258, zip_derived_cl2641])).
% 276.72/40.49 thf(zip_derived_cl11030, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10668, zip_derived_cl10668])).
% 276.72/40.49 thf(zip_derived_cl10668, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X0) @ X0)
% 276.72/40.49 = (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10258, zip_derived_cl2641])).
% 276.72/40.49 thf(zip_derived_cl17, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 276.72/40.49 (multiply @ X1 @ X0)))) @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 276.72/40.49 = (X2))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl11207, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X2 @
% 276.72/40.49 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))) @
% 276.72/40.49 (multiply @ X2 @
% 276.72/40.49 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 276.72/40.49 (multiply @ (inverse @ X3) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X3) @ X3)))))
% 276.72/40.49 = (X3))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl10668, zip_derived_cl17])).
% 276.72/40.49 thf(zip_derived_cl10668, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X0) @ X0)
% 276.72/40.49 = (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10258, zip_derived_cl2641])).
% 276.72/40.49 thf(zip_derived_cl11634, plain,
% 276.72/40.49 (![X0 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 276.72/40.49 (multiply @ (inverse @ X3) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X3) @ X3)))))
% 276.72/40.49 = (X3))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl11207, zip_derived_cl10668])).
% 276.72/40.49 thf(zip_derived_cl17491, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 276.72/40.49 (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 276.72/40.49 = (X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl11030, zip_derived_cl11634])).
% 276.72/40.49 thf(zip_derived_cl0, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X1 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @ (inverse @ X2) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X1 @ X2)))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('cnf', [status(esa)], [single_axiom])).
% 276.72/40.49 thf(zip_derived_cl11030, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10668, zip_derived_cl10668])).
% 276.72/40.49 thf(zip_derived_cl11030, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10668, zip_derived_cl10668])).
% 276.72/40.49 thf(zip_derived_cl5, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 276.72/40.49 = (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl11834, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X1) @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl11030, zip_derived_cl5])).
% 276.72/40.49 thf(zip_derived_cl11030, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10668, zip_derived_cl10668])).
% 276.72/40.49 thf(zip_derived_cl11030, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10668, zip_derived_cl10668])).
% 276.72/40.49 thf(zip_derived_cl12152, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl11834, zip_derived_cl11030, zip_derived_cl11030])).
% 276.72/40.49 thf(zip_derived_cl12491, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X2) @ X2))
% 276.72/40.49 = (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0)))))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl11030, zip_derived_cl12152])).
% 276.72/40.49 thf(zip_derived_cl15481, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X4) @ X4))
% 276.72/40.49 = (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @ (inverse @ X2) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X3 @ X2))) @
% 276.72/40.49 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl12491])).
% 276.72/40.49 thf(zip_derived_cl0, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X1 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (multiply @ (inverse @ X2) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X1 @ X2)))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('cnf', [status(esa)], [single_axiom])).
% 276.72/40.49 thf(zip_derived_cl15557, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X4 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X4) @ X4))
% 276.72/40.49 = (multiply @ X0 @
% 276.72/40.49 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))))),
% 276.72/40.49 inference('demod', [status(thm)], [zip_derived_cl15481, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl18734, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X2) @ X2))
% 276.72/40.49 = (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X0) @ X0))))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl17491, zip_derived_cl15557])).
% 276.72/40.49 thf(zip_derived_cl11030, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10668, zip_derived_cl10668])).
% 276.72/40.49 thf(zip_derived_cl20305, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X1) @ X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl18734, zip_derived_cl11030])).
% 276.72/40.49 thf(zip_derived_cl71, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 276.72/40.49 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 276.72/40.49 (multiply @ X3 @ X0)))
% 276.72/40.49 = (multiply @ (inverse @ X0) @ X2))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl20878, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 276.72/40.49 (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 276.72/40.49 (multiply @ X3 @ X2)))
% 276.72/40.49 = (multiply @ (inverse @ X2) @ X1))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl20305, zip_derived_cl71])).
% 276.72/40.49 thf(zip_derived_cl17491, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 276.72/40.49 (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 276.72/40.49 = (X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl11030, zip_derived_cl11634])).
% 276.72/40.49 thf(zip_derived_cl21452, plain,
% 276.72/40.49 (![X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 276.72/40.49 = (multiply @ (inverse @ X2) @ X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl20878, zip_derived_cl17491])).
% 276.72/40.49 thf(zip_derived_cl17, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 276.72/40.49 (multiply @ X1 @ X0)))) @
% 276.72/40.49 (multiply @ (inverse @ X0) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 276.72/40.49 = (X2))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl25970, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X0)) @
% 276.72/40.49 (multiply @ (inverse @ X1) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl21452, zip_derived_cl17])).
% 276.72/40.49 thf(zip_derived_cl20305, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X1) @ X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl18734, zip_derived_cl11030])).
% 276.72/40.49 thf(zip_derived_cl1396, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 276.72/40.49 (multiply @ X3 @ X0)))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl26276, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 276.72/40.49 (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl25970, zip_derived_cl20305, zip_derived_cl1396])).
% 276.72/40.49 thf(zip_derived_cl20305, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X1) @ X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl18734, zip_derived_cl11030])).
% 276.72/40.49 thf(zip_derived_cl26276, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 276.72/40.49 (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl25970, zip_derived_cl20305, zip_derived_cl1396])).
% 276.72/40.49 thf(zip_derived_cl21452, plain,
% 276.72/40.49 (![X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 276.72/40.49 = (multiply @ (inverse @ X2) @ X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl20878, zip_derived_cl17491])).
% 276.72/40.49 thf(zip_derived_cl26455, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((X0) = (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @ X0))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl26276, zip_derived_cl21452])).
% 276.72/40.49 thf(zip_derived_cl20305, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X1) @ X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl18734, zip_derived_cl11030])).
% 276.72/40.49 thf(zip_derived_cl26779, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26455, zip_derived_cl20305])).
% 276.72/40.49 thf(zip_derived_cl21452, plain,
% 276.72/40.49 (![X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 276.72/40.49 = (multiply @ (inverse @ X2) @ X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl20878, zip_derived_cl17491])).
% 276.72/40.49 thf(zip_derived_cl26807, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (multiply @ (multiply @ (inverse @ X2) @ X2) @ X1)) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X0) @ X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl26779, zip_derived_cl21452])).
% 276.72/40.49 thf(zip_derived_cl26779, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26455, zip_derived_cl20305])).
% 276.72/40.49 thf(zip_derived_cl27003, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X0) @ X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26807, zip_derived_cl26779])).
% 276.72/40.49 thf(zip_derived_cl28199, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (multiply @ (inverse @ X0) @ X0) @ X2))
% 276.72/40.49 = (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X1)))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl20305, zip_derived_cl27003])).
% 276.72/40.49 thf(zip_derived_cl26779, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26455, zip_derived_cl20305])).
% 276.72/40.49 thf(zip_derived_cl28219, plain,
% 276.72/40.49 (![X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @ X2)
% 276.72/40.49 = (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X1)))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28199, zip_derived_cl26779])).
% 276.72/40.49 thf(zip_derived_cl28408, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 276.72/40.49 (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))
% 276.72/40.49 = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl26276, zip_derived_cl28219])).
% 276.72/40.49 thf(zip_derived_cl26276, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 276.72/40.49 (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl25970, zip_derived_cl20305, zip_derived_cl1396])).
% 276.72/40.49 thf(zip_derived_cl28425, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28408, zip_derived_cl26276])).
% 276.72/40.49 thf(zip_derived_cl10668, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X0) @ X0)
% 276.72/40.49 = (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10258, zip_derived_cl2641])).
% 276.72/40.49 thf(zip_derived_cl1396, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 276.72/40.49 (multiply @ X3 @ X0)))),
% 276.72/40.49 inference('sup+', [status(thm)], [zip_derived_cl425, zip_derived_cl0])).
% 276.72/40.49 thf(zip_derived_cl11068, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ (multiply @ (inverse @ X3) @ X5)) @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X2 @
% 276.72/40.49 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))) @
% 276.72/40.49 (multiply @ X2 @
% 276.72/40.49 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 276.72/40.49 (multiply @ X4 @ X3)))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10668, zip_derived_cl1396])).
% 276.72/40.49 thf(zip_derived_cl10668, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X0) @ X0)
% 276.72/40.49 = (multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 276.72/40.49 (multiply @ X3 @
% 276.72/40.49 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl10258, zip_derived_cl2641])).
% 276.72/40.49 thf(zip_derived_cl11496, plain,
% 276.72/40.49 (![X0 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ (multiply @ (inverse @ X3) @ X5)) @
% 276.72/40.49 (multiply @ (inverse @ X0) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 276.72/40.49 (multiply @ X4 @ X3)))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl11068, zip_derived_cl10668])).
% 276.72/40.49 thf(zip_derived_cl28516, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((multiply @
% 276.72/40.49 (inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @ X2)) @
% 276.72/40.49 (multiply @ (inverse @ X3) @ X3))
% 276.72/40.49 = (multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl28425, zip_derived_cl11496])).
% 276.72/40.49 thf(zip_derived_cl20305, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X1) @ X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl18734, zip_derived_cl11030])).
% 276.72/40.49 thf(zip_derived_cl26779, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26455, zip_derived_cl20305])).
% 276.72/40.49 thf(zip_derived_cl28425, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28408, zip_derived_cl26276])).
% 276.72/40.49 thf(zip_derived_cl28663, plain,
% 276.72/40.49 (![X0 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @ X2) = (multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28516, zip_derived_cl20305,
% 276.72/40.49 zip_derived_cl26779, zip_derived_cl28425])).
% 276.72/40.49 thf(zip_derived_cl28219, plain,
% 276.72/40.49 (![X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @ X2)
% 276.72/40.49 = (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X1)))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28199, zip_derived_cl26779])).
% 276.72/40.49 thf(zip_derived_cl26276, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 276.72/40.49 (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl25970, zip_derived_cl20305, zip_derived_cl1396])).
% 276.72/40.49 thf(zip_derived_cl28322, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @
% 276.72/40.49 (inverse @ (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)) @
% 276.72/40.49 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 276.72/40.49 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 276.72/40.49 = (X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl28219, zip_derived_cl26276])).
% 276.72/40.49 thf(zip_derived_cl26779, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26455, zip_derived_cl20305])).
% 276.72/40.49 thf(zip_derived_cl27003, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X0) @ X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26807, zip_derived_cl26779])).
% 276.72/40.49 thf(zip_derived_cl26779, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26455, zip_derived_cl20305])).
% 276.72/40.49 thf(zip_derived_cl28219, plain,
% 276.72/40.49 (![X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @ X2)
% 276.72/40.49 = (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X1)))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28199, zip_derived_cl26779])).
% 276.72/40.49 thf(zip_derived_cl28453, plain,
% 276.72/40.49 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28322, zip_derived_cl26779,
% 276.72/40.49 zip_derived_cl27003, zip_derived_cl26779, zip_derived_cl28219])).
% 276.72/40.49 thf(zip_derived_cl26276, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 276.72/40.49 (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))
% 276.72/40.49 = (X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl25970, zip_derived_cl20305, zip_derived_cl1396])).
% 276.72/40.49 thf(zip_derived_cl28425, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28408, zip_derived_cl26276])).
% 276.72/40.49 thf(zip_derived_cl27003, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X0) @ X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26807, zip_derived_cl26779])).
% 276.72/40.49 thf(zip_derived_cl28453, plain,
% 276.72/40.49 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28322, zip_derived_cl26779,
% 276.72/40.49 zip_derived_cl27003, zip_derived_cl26779, zip_derived_cl28219])).
% 276.72/40.49 thf(zip_derived_cl28505, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26276, zip_derived_cl28425,
% 276.72/40.49 zip_derived_cl27003, zip_derived_cl28453])).
% 276.72/40.49 thf(zip_derived_cl28935, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl28453, zip_derived_cl28505])).
% 276.72/40.49 thf(zip_derived_cl29336, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl28663, zip_derived_cl28935])).
% 276.72/40.49 thf(zip_derived_cl21452, plain,
% 276.72/40.49 (![X1 : $i, X2 : $i, X3 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 276.72/40.49 = (multiply @ (inverse @ X2) @ X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl20878, zip_derived_cl17491])).
% 276.72/40.49 thf(zip_derived_cl29459, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((inverse @
% 276.72/40.49 (multiply @ (inverse @ (multiply @ (multiply @ X0 @ X2) @ X1)) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ (inverse @ X2)) @ X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl29336, zip_derived_cl21452])).
% 276.72/40.49 thf(zip_derived_cl27003, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 276.72/40.49 = (multiply @ (inverse @ X0) @ X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl26807, zip_derived_cl26779])).
% 276.72/40.49 thf(zip_derived_cl28453, plain,
% 276.72/40.49 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28322, zip_derived_cl26779,
% 276.72/40.49 zip_derived_cl27003, zip_derived_cl26779, zip_derived_cl28219])).
% 276.72/40.49 thf(zip_derived_cl28453, plain,
% 276.72/40.49 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl28322, zip_derived_cl26779,
% 276.72/40.49 zip_derived_cl27003, zip_derived_cl26779, zip_derived_cl28219])).
% 276.72/40.49 thf(zip_derived_cl29547, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((multiply @ (inverse @ X0) @ (multiply @ (multiply @ X0 @ X2) @ X1))
% 276.72/40.49 = (multiply @ X2 @ X1))),
% 276.72/40.49 inference('demod', [status(thm)],
% 276.72/40.49 [zip_derived_cl29459, zip_derived_cl27003,
% 276.72/40.49 zip_derived_cl28453, zip_derived_cl28453])).
% 276.72/40.49 thf(zip_derived_cl28935, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i]:
% 276.72/40.49 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl28453, zip_derived_cl28505])).
% 276.72/40.49 thf(zip_derived_cl32350, plain,
% 276.72/40.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 276.72/40.49 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 276.72/40.49 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 276.72/40.49 inference('sup+', [status(thm)],
% 276.72/40.49 [zip_derived_cl29547, zip_derived_cl28935])).
% 276.72/40.49 thf(zip_derived_cl32496, plain,
% 276.72/40.49 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 276.72/40.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 276.72/40.49 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl32350])).
% 276.72/40.49 thf(zip_derived_cl32497, plain, ($false),
% 276.72/40.49 inference('simplify', [status(thm)], [zip_derived_cl32496])).
% 276.72/40.49
% 276.72/40.49 % SZS output end Refutation
% 276.72/40.49
% 276.72/40.49
% 276.72/40.49 % Terminating...
% 276.72/40.54 % Runner terminated.
% 276.72/40.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------