TSTP Solution File: GRP415-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP415-1 : 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.sj7BekfP72 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 01:51:33 EDT 2023
% Result : Unsatisfiable 8.53s 1.92s
% Output : Refutation 8.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP415-1 : 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.sj7BekfP72 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 19:39:13 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
% 0.15/0.37 % 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
% 1.25/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.25/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.25/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.53/1.92 % Solved by fo/fo7.sh.
% 8.53/1.92 % done 131 iterations in 1.126s
% 8.53/1.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.53/1.92 % SZS output start Refutation
% 8.53/1.92 thf(b1_type, type, b1: $i).
% 8.53/1.92 thf(inverse_type, type, inverse: $i > $i).
% 8.53/1.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 8.53/1.92 thf(a1_type, type, a1: $i).
% 8.53/1.92 thf(single_axiom, axiom,
% 8.53/1.92 (( inverse @
% 8.53/1.92 ( multiply @
% 8.53/1.92 A @
% 8.53/1.92 ( inverse @
% 8.53/1.92 ( multiply @
% 8.53/1.92 ( inverse @
% 8.53/1.92 ( multiply @
% 8.53/1.92 ( inverse @ ( multiply @ B @ A ) ) @
% 8.53/1.92 ( multiply @ B @ ( inverse @ C ) ) ) ) @
% 8.53/1.92 ( inverse @ ( multiply @ ( inverse @ A ) @ A ) ) ) ) ) ) =
% 8.53/1.92 ( C ))).
% 8.53/1.92 thf(zip_derived_cl0, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 8.53/1.92 = (X0))),
% 8.53/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.53/1.92 thf(zip_derived_cl0, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 8.53/1.92 = (X0))),
% 8.53/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.53/1.92 thf(zip_derived_cl2, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X3 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 8.53/1.92 (multiply @ X4 @ X0))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 8.53/1.92 = (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl0, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 8.53/1.92 = (X0))),
% 8.53/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.53/1.92 thf(zip_derived_cl25, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((multiply @ X0 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (inverse @ X1))))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 8.53/1.92 = (X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl0, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 8.53/1.92 = (X0))),
% 8.53/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.53/1.92 thf(zip_derived_cl69, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X3 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X3)) @ X0)) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 8.53/1.92 = (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (inverse @ X0))))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl2, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X3 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 8.53/1.92 (multiply @ X4 @ X0))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 8.53/1.92 = (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl0, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 8.53/1.92 = (X0))),
% 8.53/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.53/1.92 thf(zip_derived_cl14, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X0 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 8.53/1.92 (multiply @ X2 @ X1))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))
% 8.53/1.92 = (X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl126, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (inverse @ (multiply @ X0 @ X1)))))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 8.53/1.92 = (X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl14])).
% 8.53/1.92 thf(zip_derived_cl69, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X3 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X3)) @ X0)) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 8.53/1.92 = (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (inverse @ X0))))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl0, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 8.53/1.92 = (X0))),
% 8.53/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.53/1.92 thf(zip_derived_cl124, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 8.53/1.92 (multiply @ X2 @
% 8.53/1.92 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X1))))))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0))) = (X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl0, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 8.53/1.92 = (X0))),
% 8.53/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.53/1.92 thf(zip_derived_cl228, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X2 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 8.53/1.92 (multiply @ X3 @
% 8.53/1.92 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X0))))))) @
% 8.53/1.92 X2)) @
% 8.53/1.92 X0)) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X2) @ X2))))))
% 8.53/1.92 = (multiply @ (inverse @ X1) @ X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl683, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))))
% 8.53/1.92 = (multiply @ (inverse @ X1) @ X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl228])).
% 8.53/1.92 thf(zip_derived_cl69, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X3 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X3)) @ X0)) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 8.53/1.92 = (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (inverse @ X0))))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl25, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((multiply @ X0 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (inverse @ X1))))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 8.53/1.92 = (X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl103, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((multiply @ X2 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X0 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X1)) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 8.53/1.92 = (X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl25])).
% 8.53/1.92 thf(zip_derived_cl788, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i]:
% 8.53/1.92 ((multiply @ (inverse @ X0) @
% 8.53/1.92 (inverse @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X0 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 8.53/1.92 = (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl683, zip_derived_cl103])).
% 8.53/1.92 thf(zip_derived_cl0, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 8.53/1.92 = (X0))),
% 8.53/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.53/1.92 thf(zip_derived_cl103, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((multiply @ X2 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X0 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X1)) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 8.53/1.92 = (X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl25])).
% 8.53/1.92 thf(zip_derived_cl196, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.53/1.92 ((multiply @ X2 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))))
% 8.53/1.92 = (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @ (multiply @ X3 @ (inverse @ (multiply @ X2 @ X1)))) @
% 8.53/1.92 (multiply @ X3 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (inverse @ (multiply @ X2 @ X1))) @
% 8.53/1.92 (inverse @ (multiply @ X2 @ X1)))))))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 8.53/1.92 thf(zip_derived_cl25, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((multiply @ X0 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (inverse @ X1))))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 8.53/1.92 = (X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl1121, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 8.53/1.92 (multiply @ X2 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X0 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ X1) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))))
% 8.53/1.92 = (X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl25])).
% 8.53/1.92 thf(zip_derived_cl1668, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 8.53/1.92 (multiply @ X2 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 8.53/1.92 (multiply @ (inverse @ X0) @
% 8.53/1.92 (inverse @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X0 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))))))))
% 8.53/1.92 = (multiply @ (inverse @ X1) @ X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl788, zip_derived_cl1121])).
% 8.53/1.92 thf(zip_derived_cl196, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.53/1.92 ((multiply @ X2 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))))
% 8.53/1.92 = (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @ (multiply @ X3 @ (inverse @ (multiply @ X2 @ X1)))) @
% 8.53/1.92 (multiply @ X3 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (inverse @ (multiply @ X2 @ X1))) @
% 8.53/1.92 (inverse @ (multiply @ X2 @ X1)))))))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 8.53/1.92 thf(zip_derived_cl0, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ X1 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ X0)))) @
% 8.53/1.92 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 8.53/1.92 = (X0))),
% 8.53/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.53/1.92 thf(zip_derived_cl1118, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((inverse @
% 8.53/1.92 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 8.53/1.92 (multiply @ X2 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X0 @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))))))
% 8.53/1.92 = (X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl0])).
% 8.53/1.92 thf(zip_derived_cl1716, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 8.53/1.92 = (multiply @ (inverse @ X1) @ X1))),
% 8.53/1.92 inference('demod', [status(thm)],
% 8.53/1.92 [zip_derived_cl1668, zip_derived_cl1118])).
% 8.53/1.92 thf(zip_derived_cl1716, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.92 ((multiply @
% 8.53/1.92 (inverse @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 8.53/1.92 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 8.53/1.92 = (multiply @ (inverse @ X1) @ X1))),
% 8.53/1.92 inference('demod', [status(thm)],
% 8.53/1.92 [zip_derived_cl1668, zip_derived_cl1118])).
% 8.53/1.92 thf(zip_derived_cl2056, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i]:
% 8.53/1.92 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 8.53/1.92 thf(prove_these_axioms_1, conjecture,
% 8.53/1.92 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 8.53/1.92 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 8.53/1.92 thf(zf_stmt_0, negated_conjecture,
% 8.53/1.92 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 8.53/1.92 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 8.53/1.92 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 8.53/1.92 thf(zip_derived_cl1, plain,
% 8.53/1.92 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 8.53/1.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.53/1.92 thf(zip_derived_cl2298, plain,
% 8.53/1.92 (![X0 : $i]:
% 8.53/1.92 ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ X0) @ X0))),
% 8.53/1.92 inference('sup-', [status(thm)], [zip_derived_cl2056, zip_derived_cl1])).
% 8.53/1.92 thf(zip_derived_cl2056, plain,
% 8.53/1.92 (![X0 : $i, X1 : $i]:
% 8.53/1.92 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 8.53/1.92 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 8.53/1.92 thf(zip_derived_cl2416, plain, ($false),
% 8.53/1.92 inference('simplify_reflect+', [status(thm)],
% 8.53/1.92 [zip_derived_cl2298, zip_derived_cl2056])).
% 8.53/1.92
% 8.53/1.92 % SZS output end Refutation
% 8.53/1.92
% 8.53/1.92
% 8.53/1.92 % Terminating...
% 8.53/1.98 % Runner terminated.
% 8.53/1.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------