TSTP Solution File: GRP107-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP107-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pW7ztA5sYi true
% Computer : n009.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 01:49:57 EDT 2023
% Result : Unsatisfiable 22.92s 3.90s
% Output : Refutation 22.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP107-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pW7ztA5sYi true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:34:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 22.92/3.90 % Solved by fo/fo6_bce.sh.
% 22.92/3.90 % BCE start: 3
% 22.92/3.90 % BCE eliminated: 0
% 22.92/3.90 % PE start: 3
% 22.92/3.90 logic: eq
% 22.92/3.90 % PE eliminated: 0
% 22.92/3.90 % done 513 iterations in 3.165s
% 22.92/3.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 22.92/3.90 % SZS output start Refutation
% 22.92/3.90 thf(b3_type, type, b3: $i).
% 22.92/3.90 thf(multiply_type, type, multiply: $i > $i > $i).
% 22.92/3.90 thf(b1_type, type, b1: $i).
% 22.92/3.90 thf(a4_type, type, a4: $i).
% 22.92/3.90 thf(a3_type, type, a3: $i).
% 22.92/3.90 thf(a2_type, type, a2: $i).
% 22.92/3.90 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 22.92/3.90 thf(a1_type, type, a1: $i).
% 22.92/3.90 thf(inverse_type, type, inverse: $i > $i).
% 22.92/3.90 thf(b2_type, type, b2: $i).
% 22.92/3.90 thf(b4_type, type, b4: $i).
% 22.92/3.90 thf(c3_type, type, c3: $i).
% 22.92/3.90 thf(multiply, axiom,
% 22.92/3.90 (( multiply @ X @ Y ) = ( inverse @ ( double_divide @ Y @ X ) ))).
% 22.92/3.90 thf(zip_derived_cl1, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 22.92/3.90 inference('cnf', [status(esa)], [multiply])).
% 22.92/3.90 thf(single_axiom, axiom,
% 22.92/3.90 (( double_divide @
% 22.92/3.90 ( double_divide @ X @ Y ) @
% 22.92/3.90 ( inverse @
% 22.92/3.90 ( double_divide @
% 22.92/3.90 X @ ( inverse @ ( double_divide @ ( inverse @ Z ) @ Y ) ) ) ) ) =
% 22.92/3.90 ( Z ))).
% 22.92/3.90 thf(zip_derived_cl0, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X1 @ X2) @
% 22.92/3.90 (inverse @
% 22.92/3.90 (double_divide @ X1 @
% 22.92/3.90 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 22.92/3.90 = (X0))),
% 22.92/3.90 inference('cnf', [status(esa)], [single_axiom])).
% 22.92/3.90 thf(zip_derived_cl1, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 22.92/3.90 inference('cnf', [status(esa)], [multiply])).
% 22.92/3.90 thf(zip_derived_cl1, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 22.92/3.90 inference('cnf', [status(esa)], [multiply])).
% 22.92/3.90 thf(zip_derived_cl3, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X1 @ X2) @
% 22.92/3.90 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl3, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X1 @ X2) @
% 22.92/3.90 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl4, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.92/3.90 ((double_divide @ X0 @
% 22.92/3.90 (multiply @
% 22.92/3.90 (multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X3) @
% 22.92/3.90 (inverse @ X1)) @
% 22.92/3.90 (double_divide @ X3 @ X2)))
% 22.92/3.90 = (X1))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl1, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 22.92/3.90 inference('cnf', [status(esa)], [multiply])).
% 22.92/3.90 thf(zip_derived_cl9, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.92/3.90 ((multiply @
% 22.92/3.90 (multiply @
% 22.92/3.90 (multiply @ (multiply @ (multiply @ X1 @ (inverse @ X3)) @ X2) @
% 22.92/3.90 (inverse @ X0)) @
% 22.92/3.90 (double_divide @ X2 @ X1)) @
% 22.92/3.90 X3) = (inverse @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl9, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.92/3.90 ((multiply @
% 22.92/3.90 (multiply @
% 22.92/3.90 (multiply @ (multiply @ (multiply @ X1 @ (inverse @ X3)) @ X2) @
% 22.92/3.90 (inverse @ X0)) @
% 22.92/3.90 (double_divide @ X2 @ X1)) @
% 22.92/3.90 X3) = (inverse @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl119, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.92/3.90 ((multiply @
% 22.92/3.90 (multiply @ (inverse @ X0) @
% 22.92/3.90 (double_divide @ (double_divide @ X2 @ X3) @
% 22.92/3.90 (multiply @ (multiply @ X3 @ (inverse @ (inverse @ X1))) @ X2))) @
% 22.92/3.90 X0) = (inverse @ X1))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl9])).
% 22.92/3.90 thf(zip_derived_cl3, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X1 @ X2) @
% 22.92/3.90 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl125, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X0) @ (inverse @ X1)) @ X0)
% 22.92/3.90 = (inverse @ X1))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl148, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0)) @ X2)
% 22.92/3.90 = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl125])).
% 22.92/3.90 thf(zip_derived_cl1, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 22.92/3.90 inference('cnf', [status(esa)], [multiply])).
% 22.92/3.90 thf(zip_derived_cl3, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X1 @ X2) @
% 22.92/3.90 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl1, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 22.92/3.90 inference('cnf', [status(esa)], [multiply])).
% 22.92/3.90 thf(zip_derived_cl5, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 22.92/3.90 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl21, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.92/3.90 ((multiply @
% 22.92/3.90 (multiply @ (multiply @ X2 @ (multiply @ X1 @ X0)) @ X3) @
% 22.92/3.90 (double_divide @ X3 @ X2)) = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 22.92/3.90 thf(zip_derived_cl211, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ X1 @ X0) @
% 22.92/3.90 (double_divide @ X2 @ (inverse @ X2))) = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl21])).
% 22.92/3.90 thf(zip_derived_cl125, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X0) @ (inverse @ X1)) @ X0)
% 22.92/3.90 = (inverse @ X1))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl366, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (inverse @ (double_divide @ X1 @ (inverse @ X1))) @
% 22.92/3.90 (inverse @ X0)) = (inverse @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl125])).
% 22.92/3.90 thf(zip_derived_cl1, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 22.92/3.90 inference('cnf', [status(esa)], [multiply])).
% 22.92/3.90 thf(zip_derived_cl393, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 22.92/3.90 = (inverse @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl366, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl1, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 22.92/3.90 inference('cnf', [status(esa)], [multiply])).
% 22.92/3.90 thf(zip_derived_cl3, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X1 @ X2) @
% 22.92/3.90 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl6, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X2 @ X3) @
% 22.92/3.90 (multiply @ (multiply @ X3 @ (multiply @ X1 @ X0)) @ X2))
% 22.92/3.90 = (double_divide @ X0 @ X1))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl434, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X2 @ X3) @
% 22.92/3.90 (multiply @ (multiply @ X3 @ (inverse @ X0)) @ X2))
% 22.92/3.90 = (double_divide @ (inverse @ X0) @ (multiply @ (inverse @ X1) @ X1)))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl6])).
% 22.92/3.90 thf(zip_derived_cl3, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X1 @ X2) @
% 22.92/3.90 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl466, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((X0)
% 22.92/3.90 = (double_divide @ (inverse @ X0) @ (multiply @ (inverse @ X1) @ X1)))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl434, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl5, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 22.92/3.90 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl469, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @
% 22.92/3.90 (multiply @
% 22.92/3.90 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1)) @
% 22.92/3.90 (inverse @ X0)) @
% 22.92/3.90 X0) = (inverse @ X1))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl466, zip_derived_cl5])).
% 22.92/3.90 thf(zip_derived_cl393, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 22.92/3.90 = (inverse @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl366, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl488, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X0)
% 22.92/3.90 = (inverse @ X1))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl469, zip_derived_cl393])).
% 22.92/3.90 thf(zip_derived_cl393, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 22.92/3.90 = (inverse @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl366, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl619, plain,
% 22.92/3.90 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ X0))) = (inverse @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl488, zip_derived_cl393])).
% 22.92/3.90 thf(zip_derived_cl3, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X1 @ X2) @
% 22.92/3.90 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl625, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X1 @ X2) @
% 22.92/3.90 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1))
% 22.92/3.90 = (inverse @ (inverse @ X0)))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl619, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl3, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((double_divide @ (double_divide @ X1 @ X2) @
% 22.92/3.90 (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)) = (X0))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl676, plain,
% 22.92/3.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl625, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl676, plain,
% 22.92/3.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl625, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl393, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 22.92/3.90 = (inverse @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl366, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl703, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) = (X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl676, zip_derived_cl393])).
% 22.92/3.90 thf(zip_derived_cl676, plain,
% 22.92/3.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl625, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl488, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X0)
% 22.92/3.90 = (inverse @ X1))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl469, zip_derived_cl393])).
% 22.92/3.90 thf(zip_derived_cl720, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl676, zip_derived_cl488])).
% 22.92/3.90 thf(zip_derived_cl1051, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl703, zip_derived_cl720])).
% 22.92/3.90 thf(zip_derived_cl1157, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ (inverse @ X1) @ X1))),
% 22.92/3.90 inference('s_sup+', [status(thm)],
% 22.92/3.90 [zip_derived_cl676, zip_derived_cl1051])).
% 22.92/3.90 thf(zip_derived_cl676, plain,
% 22.92/3.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl625, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl125, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X0) @ (inverse @ X1)) @ X0)
% 22.92/3.90 = (inverse @ X1))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl715, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X1) @ X0) @ X1) = (X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl676, zip_derived_cl125])).
% 22.92/3.90 thf(zip_derived_cl720, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl676, zip_derived_cl488])).
% 22.92/3.90 thf(zip_derived_cl1052, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X0 @ X1) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl715, zip_derived_cl720])).
% 22.92/3.90 thf(zip_derived_cl676, plain,
% 22.92/3.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl625, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl1058, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl676])).
% 22.92/3.90 thf(zip_derived_cl1571, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ (inverse @ X1)) = (multiply @ X0 @ (inverse @ X0)))),
% 22.92/3.90 inference('s_sup+', [status(thm)],
% 22.92/3.90 [zip_derived_cl1157, zip_derived_cl1058])).
% 22.92/3.90 thf(prove_these_axioms, conjecture,
% 22.92/3.90 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 22.92/3.90 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 22.92/3.90 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 22.92/3.90 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 22.92/3.90 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 22.92/3.90 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 22.92/3.90 thf(zf_stmt_0, negated_conjecture,
% 22.92/3.90 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 22.92/3.90 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 22.92/3.90 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 22.92/3.90 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 22.92/3.90 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 22.92/3.90 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 22.92/3.90 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 22.92/3.90 thf(zip_derived_cl2, plain,
% 22.92/3.90 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 22.92/3.90 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 22.92/3.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 22.92/3.90 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 22.92/3.90 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 22.92/3.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 22.92/3.90 thf(zip_derived_cl703, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) = (X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl676, zip_derived_cl393])).
% 22.92/3.90 thf(zip_derived_cl803, plain,
% 22.92/3.90 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 22.92/3.90 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 22.92/3.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 22.92/3.90 | ((a2) != (a2))
% 22.92/3.90 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl703])).
% 22.92/3.90 thf(zip_derived_cl804, plain,
% 22.92/3.90 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 22.92/3.90 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 22.92/3.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 22.92/3.90 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 22.92/3.90 inference('simplify', [status(thm)], [zip_derived_cl803])).
% 22.92/3.90 thf(zip_derived_cl1058, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl676])).
% 22.92/3.90 thf(zip_derived_cl1058, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl676])).
% 22.92/3.90 thf(zip_derived_cl1058, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl676])).
% 22.92/3.90 thf(zip_derived_cl1058, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl676])).
% 22.92/3.90 thf(zip_derived_cl1276, plain,
% 22.92/3.90 ((((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))
% 22.92/3.90 | ((multiply @ c3 @ (multiply @ a3 @ b3))
% 22.92/3.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 22.92/3.90 | ((multiply @ a4 @ b4) != (multiply @ a4 @ b4)))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl804, zip_derived_cl1058, zip_derived_cl1058,
% 22.92/3.90 zip_derived_cl1058, zip_derived_cl1058])).
% 22.92/3.90 thf(zip_derived_cl1277, plain,
% 22.92/3.90 ((((multiply @ c3 @ (multiply @ a3 @ b3))
% 22.92/3.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 22.92/3.90 | ((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1))))),
% 22.92/3.90 inference('simplify', [status(thm)], [zip_derived_cl1276])).
% 22.92/3.90 thf(zip_derived_cl1822, plain,
% 22.92/3.90 (![X0 : $i]:
% 22.92/3.90 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 22.92/3.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 22.92/3.90 | ((multiply @ a1 @ (inverse @ a1))
% 22.92/3.90 != (multiply @ X0 @ (inverse @ X0))))),
% 22.92/3.90 inference('s_sup-', [status(thm)],
% 22.92/3.90 [zip_derived_cl1571, zip_derived_cl1277])).
% 22.92/3.90 thf(zip_derived_cl1571, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ (inverse @ X1)) = (multiply @ X0 @ (inverse @ X0)))),
% 22.92/3.90 inference('s_sup+', [status(thm)],
% 22.92/3.90 [zip_derived_cl1157, zip_derived_cl1058])).
% 22.92/3.90 thf(zip_derived_cl1876, plain,
% 22.92/3.90 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 22.92/3.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 22.92/3.90 inference('simplify_reflect+', [status(thm)],
% 22.92/3.90 [zip_derived_cl1822, zip_derived_cl1571])).
% 22.92/3.90 thf(zip_derived_cl676, plain,
% 22.92/3.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl625, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl5, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1) @
% 22.92/3.90 (double_divide @ X1 @ X2)) = (inverse @ X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl688, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 22.92/3.90 (double_divide @ X2 @ X1)) = (X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl676, zip_derived_cl5])).
% 22.92/3.90 thf(zip_derived_cl676, plain,
% 22.92/3.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl625, zip_derived_cl3])).
% 22.92/3.90 thf(zip_derived_cl720, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl676, zip_derived_cl488])).
% 22.92/3.90 thf(zip_derived_cl1056, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 22.92/3.90 inference('s_sup+', [status(thm)], [zip_derived_cl676, zip_derived_cl720])).
% 22.92/3.90 thf(zip_derived_cl8761, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ X0 @ (inverse @ (double_divide @ X1 @ X2)))
% 22.92/3.90 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 22.92/3.90 inference('s_sup+', [status(thm)],
% 22.92/3.90 [zip_derived_cl688, zip_derived_cl1056])).
% 22.92/3.90 thf(zip_derived_cl1, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]:
% 22.92/3.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 22.92/3.90 inference('cnf', [status(esa)], [multiply])).
% 22.92/3.90 thf(zip_derived_cl8938, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 22.92/3.90 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl8761, zip_derived_cl1])).
% 22.92/3.90 thf(zip_derived_cl1058, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl676])).
% 22.92/3.90 thf(zip_derived_cl9573, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 22.92/3.90 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 22.92/3.90 inference('s_sup+', [status(thm)],
% 22.92/3.90 [zip_derived_cl8938, zip_derived_cl1058])).
% 22.92/3.90 thf(zip_derived_cl10747, plain,
% 22.92/3.90 (((multiply @ b3 @ (multiply @ a3 @ c3))
% 22.92/3.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl1876, zip_derived_cl9573])).
% 22.92/3.90 thf(zip_derived_cl1058, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl676])).
% 22.92/3.90 thf(zip_derived_cl9573, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 22.92/3.90 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 22.92/3.90 inference('s_sup+', [status(thm)],
% 22.92/3.90 [zip_derived_cl8938, zip_derived_cl1058])).
% 22.92/3.90 thf(zip_derived_cl10867, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.92/3.90 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 22.92/3.90 = (multiply @ X1 @ (multiply @ X0 @ X2)))),
% 22.92/3.90 inference('s_sup+', [status(thm)],
% 22.92/3.90 [zip_derived_cl1058, zip_derived_cl9573])).
% 22.92/3.90 thf(zip_derived_cl1058, plain,
% 22.92/3.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 22.92/3.90 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl676])).
% 22.92/3.90 thf(zip_derived_cl13182, plain,
% 22.92/3.90 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 22.92/3.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 22.92/3.90 inference('demod', [status(thm)],
% 22.92/3.90 [zip_derived_cl10747, zip_derived_cl10867, zip_derived_cl1058])).
% 22.92/3.90 thf(zip_derived_cl13183, plain, ($false),
% 22.92/3.90 inference('simplify', [status(thm)], [zip_derived_cl13182])).
% 22.92/3.90
% 22.92/3.90 % SZS output end Refutation
% 22.92/3.90
% 22.92/3.90
% 22.92/3.90 % Terminating...
% 23.44/3.96 % Runner terminated.
% 23.44/3.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------