TSTP Solution File: GRP440-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP440-1 : 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.JQ5HtJmZEs true
% Computer : n025.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 33.93s 5.47s
% Output : Refutation 33.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP440-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JQ5HtJmZEs true
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 21:10:54 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 33.93/5.47 % Solved by fo/fo4.sh.
% 33.93/5.47 % done 319 iterations in 4.651s
% 33.93/5.47 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 33.93/5.47 % SZS output start Refutation
% 33.93/5.47 thf(b2_type, type, b2: $i).
% 33.93/5.47 thf(a2_type, type, a2: $i).
% 33.93/5.47 thf(inverse_type, type, inverse: $i > $i).
% 33.93/5.47 thf(multiply_type, type, multiply: $i > $i > $i).
% 33.93/5.47 thf(single_axiom, axiom,
% 33.93/5.47 (( inverse @
% 33.93/5.47 ( multiply @
% 33.93/5.47 A @
% 33.93/5.47 ( multiply @
% 33.93/5.47 B @
% 33.93/5.47 ( multiply @
% 33.93/5.47 ( multiply @ ( inverse @ B ) @ C ) @
% 33.93/5.47 ( inverse @ ( multiply @ D @ ( multiply @ A @ C ) ) ) ) ) ) ) =
% 33.93/5.47 ( D ))).
% 33.93/5.47 thf(zip_derived_cl0, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X1 @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 33.93/5.47 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 33.93/5.47 = (X0))),
% 33.93/5.47 inference('cnf', [status(esa)], [single_axiom])).
% 33.93/5.47 thf(zip_derived_cl0, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X1 @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 33.93/5.47 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 33.93/5.47 = (X0))),
% 33.93/5.47 inference('cnf', [status(esa)], [single_axiom])).
% 33.93/5.47 thf(zip_derived_cl0, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X1 @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 33.93/5.47 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 33.93/5.47 = (X0))),
% 33.93/5.47 inference('cnf', [status(esa)], [single_axiom])).
% 33.93/5.47 thf(zip_derived_cl3, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X4) @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X3) @ X2) @
% 33.93/5.47 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2))))) @
% 33.93/5.47 X0))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 33.93/5.47 thf(zip_derived_cl0, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X1 @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 33.93/5.47 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 33.93/5.47 = (X0))),
% 33.93/5.47 inference('cnf', [status(esa)], [single_axiom])).
% 33.93/5.47 thf(zip_derived_cl9, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X5) @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X4) @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X1) @ X3) @
% 33.93/5.47 (inverse @ (multiply @ X2 @ (multiply @ X0 @ X3))))) @
% 33.93/5.47 X2)) @
% 33.93/5.47 X0))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 33.93/5.47 thf(zip_derived_cl29, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 33.93/5.47 X7 : $i, X8 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X7 @
% 33.93/5.47 (multiply @ X8 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X8) @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X7) @
% 33.93/5.47 (multiply @ (multiply @ X0 @ X6) @
% 33.93/5.47 (inverse @ (multiply @ X5 @ (multiply @ X4 @ X6))))) @
% 33.93/5.47 X5)) @
% 33.93/5.47 X4))))
% 33.93/5.47 = (multiply @ X2 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X3) @ X1) @
% 33.93/5.47 (inverse @ (multiply @ X0 @ (multiply @ X2 @ X1)))))))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 33.93/5.47 thf(zip_derived_cl9, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X5) @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X4) @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X1) @ X3) @
% 33.93/5.47 (inverse @ (multiply @ X2 @ (multiply @ X0 @ X3))))) @
% 33.93/5.47 X2)) @
% 33.93/5.47 X0))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 33.93/5.47 thf(zip_derived_cl204, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X2))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 33.93/5.47 thf(zip_derived_cl204, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X2))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 33.93/5.47 thf(zip_derived_cl0, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X1 @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 33.93/5.47 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 33.93/5.47 = (X0))),
% 33.93/5.47 inference('cnf', [status(esa)], [single_axiom])).
% 33.93/5.47 thf(zip_derived_cl408, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X5) @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X4) @ X2) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X0) @ (multiply @ X3 @ X2)))))) @
% 33.93/5.47 (inverse @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl0])).
% 33.93/5.47 thf(zip_derived_cl938, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X3 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl408])).
% 33.93/5.47 thf(zip_derived_cl204, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X2))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 33.93/5.47 thf(zip_derived_cl1060, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 33.93/5.47 X0)))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl1060, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 33.93/5.47 X0)))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl0, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X1 @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 33.93/5.47 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X3)))))))
% 33.93/5.47 = (X0))),
% 33.93/5.47 inference('cnf', [status(esa)], [single_axiom])).
% 33.93/5.47 thf(zip_derived_cl1099, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X0 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X5) @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X4) @
% 33.93/5.47 (multiply @ X3 @ (inverse @ (multiply @ X2 @ X3)))) @
% 33.93/5.47 X2))) @
% 33.93/5.47 (inverse @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl1060, zip_derived_cl0])).
% 33.93/5.47 thf(zip_derived_cl1060, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 33.93/5.47 X0)))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl1206, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X5 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X0 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @ (inverse @ X5) @ (inverse @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl1099, zip_derived_cl1060])).
% 33.93/5.47 thf(zip_derived_cl1060, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 33.93/5.47 X0)))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl1280, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X4) @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ (inverse @ X3) @ (inverse @ (multiply @ X0 @ X2)))) @
% 33.93/5.47 X0)) @
% 33.93/5.47 X2)))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl1206, zip_derived_cl1060])).
% 33.93/5.47 thf(zip_derived_cl4985, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 33.93/5.47 ((multiply @ X6 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @ (inverse @ X5) @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ (inverse @ X4) @
% 33.93/5.47 (inverse @
% 33.93/5.47 (multiply @ X0 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X2)))) @
% 33.93/5.47 X1)))))) @
% 33.93/5.47 X0))))
% 33.93/5.47 = (X6))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl1060, zip_derived_cl1280])).
% 33.93/5.47 thf(zip_derived_cl1060, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 33.93/5.47 X0)))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl5070, plain,
% 33.93/5.47 (![X0 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 33.93/5.47 ((multiply @ X6 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @ (inverse @ X5) @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ X4 @ (multiply @ (inverse @ X4) @ (inverse @ X0))) @
% 33.93/5.47 X0))))
% 33.93/5.47 = (X6))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl4985, zip_derived_cl1060])).
% 33.93/5.47 thf(zip_derived_cl938, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X3 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl408])).
% 33.93/5.47 thf(zip_derived_cl1060, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 33.93/5.47 X0)))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl204, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X2))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 33.93/5.47 thf(zip_derived_cl1120, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 33.93/5.47 ((multiply @ X0 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X5) @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X4) @
% 33.93/5.47 (multiply @ X3 @ (inverse @ (multiply @ X2 @ X3)))) @
% 33.93/5.47 X2))) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl1060, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl1060, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 33.93/5.47 X0)))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl1226, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X5 : $i]:
% 33.93/5.47 ((multiply @ X0 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @ (inverse @ X5) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl1120, zip_derived_cl1060])).
% 33.93/5.47 thf(zip_derived_cl1402, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @
% 33.93/5.47 (multiply @ X1 @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))) @
% 33.93/5.47 (multiply @ X3 @ (multiply @ (inverse @ X3) @ X0))) = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl1226])).
% 33.93/5.47 thf(zip_derived_cl5263, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X3 @
% 33.93/5.47 (multiply @ X0 @
% 33.93/5.47 (inverse @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ X2 @ (multiply @ (inverse @ X2) @ (inverse @ X1))) @
% 33.93/5.47 X1) @
% 33.93/5.47 X0))))
% 33.93/5.47 = (X3))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl5070, zip_derived_cl1402])).
% 33.93/5.47 thf(zip_derived_cl938, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X3 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X3 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl408])).
% 33.93/5.47 thf(zip_derived_cl1226, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X5 : $i]:
% 33.93/5.47 ((multiply @ X0 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @ (inverse @ X5) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl1120, zip_derived_cl1060])).
% 33.93/5.47 thf(zip_derived_cl1422, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ X3 @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ (inverse @ X4) @ (inverse @ (multiply @ X0 @ X3)))))
% 33.93/5.47 = (multiply @ (inverse @ X2) @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl1226])).
% 33.93/5.47 thf(zip_derived_cl1422, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ X3 @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ (inverse @ X4) @ (inverse @ (multiply @ X0 @ X3)))))
% 33.93/5.47 = (multiply @ (inverse @ X2) @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl1226])).
% 33.93/5.47 thf(zip_derived_cl1946, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X2) @
% 33.93/5.47 (multiply @ X2 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))))
% 33.93/5.47 = (multiply @ (inverse @ X4) @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ X3 @ (inverse @ (multiply @ X1 @ X3))))))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl1422, zip_derived_cl1422])).
% 33.93/5.47 thf(zip_derived_cl6366, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X0) @ X0)
% 33.93/5.47 = (multiply @ (inverse @ X4) @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ X1 @
% 33.93/5.47 (inverse @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ (inverse @ X3) @ (inverse @ X2))) @
% 33.93/5.47 X2) @
% 33.93/5.47 X1))))))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl5263, zip_derived_cl1946])).
% 33.93/5.47 thf(zip_derived_cl5263, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X3 @
% 33.93/5.47 (multiply @ X0 @
% 33.93/5.47 (inverse @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @
% 33.93/5.47 (multiply @ X2 @ (multiply @ (inverse @ X2) @ (inverse @ X1))) @
% 33.93/5.47 X1) @
% 33.93/5.47 X0))))
% 33.93/5.47 = (X3))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl5070, zip_derived_cl1402])).
% 33.93/5.47 thf(zip_derived_cl6585, plain,
% 33.93/5.47 (![X0 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl6366, zip_derived_cl5263])).
% 33.93/5.47 thf(zip_derived_cl6585, plain,
% 33.93/5.47 (![X0 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl6366, zip_derived_cl5263])).
% 33.93/5.47 thf(zip_derived_cl1206, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X5 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X0 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @ (inverse @ X5) @ (inverse @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl1099, zip_derived_cl1060])).
% 33.93/5.47 thf(zip_derived_cl6737, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.47 ((inverse @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 33.93/5.47 (multiply @ (inverse @ X0) @ X0))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl6585, zip_derived_cl1206])).
% 33.93/5.47 thf(zip_derived_cl7678, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i]:
% 33.93/5.47 ((inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))
% 33.93/5.47 = (inverse @ X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl6585, zip_derived_cl6737])).
% 33.93/5.47 thf(zip_derived_cl204, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X2))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 33.93/5.47 thf(zip_derived_cl7768, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ X3 @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X4) @ X2) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X0) @ (multiply @ X3 @ X2))))))
% 33.93/5.47 = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl7678, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl204, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.47 ((multiply @ X1 @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ X3) @ X0) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0))))))
% 33.93/5.47 = (X2))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 33.93/5.47 thf(zip_derived_cl7957, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i]:
% 33.93/5.47 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 33.93/5.47 inference('demod', [status(thm)], [zip_derived_cl7768, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl6585, plain,
% 33.93/5.47 (![X0 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl6366, zip_derived_cl5263])).
% 33.93/5.47 thf(zip_derived_cl8801, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i]:
% 33.93/5.47 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 33.93/5.47 = (multiply @ (inverse @ X1) @ X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl7957, zip_derived_cl6585])).
% 33.93/5.47 thf(zip_derived_cl1946, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X2) @
% 33.93/5.47 (multiply @ X2 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))))
% 33.93/5.47 = (multiply @ (inverse @ X4) @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ X3 @ (inverse @ (multiply @ X1 @ X3))))))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl1422, zip_derived_cl1422])).
% 33.93/5.47 thf(zip_derived_cl9280, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X4) @
% 33.93/5.47 (multiply @ X4 @ (multiply @ X2 @ (multiply @ (inverse @ X0) @ X0))))
% 33.93/5.47 = (multiply @ (inverse @ X3) @
% 33.93/5.47 (multiply @ X3 @
% 33.93/5.47 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X2) @ X1))))))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl8801, zip_derived_cl1946])).
% 33.93/5.47 thf(zip_derived_cl7957, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i]:
% 33.93/5.47 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 33.93/5.47 inference('demod', [status(thm)], [zip_derived_cl7768, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl1422, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ X3 @
% 33.93/5.47 (multiply @ X4 @
% 33.93/5.47 (multiply @ (inverse @ X4) @ (inverse @ (multiply @ X0 @ X3)))))
% 33.93/5.47 = (multiply @ (inverse @ X2) @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))))))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl1226])).
% 33.93/5.47 thf(zip_derived_cl1226, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X5 : $i]:
% 33.93/5.47 ((multiply @ X0 @
% 33.93/5.47 (multiply @ X5 @
% 33.93/5.47 (multiply @ (inverse @ X5) @
% 33.93/5.47 (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl1120, zip_derived_cl1060])).
% 33.93/5.47 thf(zip_derived_cl1943, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X2) @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl1422, zip_derived_cl1226])).
% 33.93/5.47 thf(zip_derived_cl9434, plain,
% 33.93/5.47 (![X2 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X2)) = (X2))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl9280, zip_derived_cl7957, zip_derived_cl1943])).
% 33.93/5.47 thf(zip_derived_cl7957, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i]:
% 33.93/5.47 ((X0) = (multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)))),
% 33.93/5.47 inference('demod', [status(thm)], [zip_derived_cl7768, zip_derived_cl204])).
% 33.93/5.47 thf(zip_derived_cl10515, plain,
% 33.93/5.47 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl9434, zip_derived_cl7957])).
% 33.93/5.47 thf(zip_derived_cl10515, plain,
% 33.93/5.47 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl9434, zip_derived_cl7957])).
% 33.93/5.47 thf(zip_derived_cl9434, plain,
% 33.93/5.47 (![X2 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X2)) = (X2))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl9280, zip_derived_cl7957, zip_derived_cl1943])).
% 33.93/5.47 thf(zip_derived_cl10727, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i]:
% 33.93/5.47 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)],
% 33.93/5.47 [zip_derived_cl10515, zip_derived_cl9434])).
% 33.93/5.47 thf(zip_derived_cl1943, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X2) @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X0)))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl1422, zip_derived_cl1226])).
% 33.93/5.47 thf(zip_derived_cl11625, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X2) @
% 33.93/5.47 (multiply @ X2 @
% 33.93/5.47 (multiply @ (multiply @ (inverse @ (inverse @ X1)) @ X0) @
% 33.93/5.47 (inverse @ X0))))
% 33.93/5.47 = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)],
% 33.93/5.47 [zip_derived_cl10727, zip_derived_cl1943])).
% 33.93/5.47 thf(zip_derived_cl10515, plain,
% 33.93/5.47 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl9434, zip_derived_cl7957])).
% 33.93/5.47 thf(zip_derived_cl9434, plain,
% 33.93/5.47 (![X2 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X2)) = (X2))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl9280, zip_derived_cl7957, zip_derived_cl1943])).
% 33.93/5.47 thf(zip_derived_cl11732, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i]:
% 33.93/5.47 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl11625, zip_derived_cl10515, zip_derived_cl9434])).
% 33.93/5.47 thf(zip_derived_cl12540, plain,
% 33.93/5.47 (![X0 : $i, X1 : $i]:
% 33.93/5.47 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 33.93/5.47 inference('sup+', [status(thm)],
% 33.93/5.47 [zip_derived_cl10515, zip_derived_cl11732])).
% 33.93/5.47 thf(zip_derived_cl10515, plain,
% 33.93/5.47 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 33.93/5.47 inference('sup+', [status(thm)], [zip_derived_cl9434, zip_derived_cl7957])).
% 33.93/5.47 thf(zip_derived_cl6585, plain,
% 33.93/5.47 (![X0 : $i, X4 : $i]:
% 33.93/5.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X4) @ X4))),
% 33.93/5.47 inference('demod', [status(thm)],
% 33.93/5.47 [zip_derived_cl6366, zip_derived_cl5263])).
% 33.93/5.47 thf(prove_these_axioms_2, conjecture,
% 33.93/5.47 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 33.93/5.47 thf(zf_stmt_0, negated_conjecture,
% 33.93/5.47 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 33.93/5.47 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 33.93/5.47 thf(zip_derived_cl1, plain,
% 33.93/5.47 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 33.93/5.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 33.93/5.47 thf(zip_derived_cl6782, plain,
% 33.93/5.47 (![X0 : $i]: ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))),
% 33.93/5.47 inference('sup-', [status(thm)], [zip_derived_cl6585, zip_derived_cl1])).
% 33.93/5.47 thf(zip_derived_cl10767, plain,
% 33.93/5.47 (![X0 : $i]: ((multiply @ (multiply @ X0 @ (inverse @ X0)) @ a2) != (a2))),
% 33.93/5.47 inference('sup-', [status(thm)],
% 33.93/5.47 [zip_derived_cl10515, zip_derived_cl6782])).
% 33.93/5.47 thf(zip_derived_cl12697, plain, (((a2) != (a2))),
% 33.93/5.47 inference('sup-', [status(thm)],
% 33.93/5.47 [zip_derived_cl12540, zip_derived_cl10767])).
% 33.93/5.47 thf(zip_derived_cl12740, plain, ($false),
% 33.93/5.47 inference('simplify', [status(thm)], [zip_derived_cl12697])).
% 33.93/5.47
% 33.93/5.47 % SZS output end Refutation
% 33.93/5.47
% 33.93/5.47
% 33.93/5.47 % Terminating...
% 34.41/5.55 % Runner terminated.
% 34.41/5.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------