TSTP Solution File: GRP435-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP435-1 : 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.TsEpf0Q7UE true
% Computer : n021.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 01:51:38 EDT 2023
% Result : Unsatisfiable 6.19s 1.45s
% Output : Refutation 6.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP435-1 : 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.TsEpf0Q7UE true
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 23:11:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.50/0.64 % Total configuration time : 435
% 0.50/0.64 % Estimated wc time : 1092
% 0.50/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /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
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.19/1.45 % Solved by fo/fo7.sh.
% 6.19/1.45 % done 755 iterations in 0.698s
% 6.19/1.45 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.19/1.45 % SZS output start Refutation
% 6.19/1.45 thf(a3_type, type, a3: $i).
% 6.19/1.45 thf(b3_type, type, b3: $i).
% 6.19/1.45 thf(inverse_type, type, inverse: $i > $i).
% 6.19/1.45 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.19/1.45 thf(c3_type, type, c3: $i).
% 6.19/1.45 thf(prove_these_axioms_3, conjecture,
% 6.19/1.45 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 6.19/1.45 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 6.19/1.45 thf(zf_stmt_0, negated_conjecture,
% 6.19/1.45 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 6.19/1.45 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 6.19/1.45 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 6.19/1.45 thf(zip_derived_cl1, plain,
% 6.19/1.45 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.19/1.45 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 6.19/1.45 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.19/1.45 thf(single_axiom, axiom,
% 6.19/1.45 (( inverse @
% 6.19/1.45 ( multiply @
% 6.19/1.45 ( multiply @
% 6.19/1.45 ( multiply @
% 6.19/1.45 ( inverse @ ( multiply @ ( multiply @ A @ B ) @ C ) ) @ A ) @
% 6.19/1.45 B ) @
% 6.19/1.45 ( multiply @ D @ ( inverse @ D ) ) ) ) =
% 6.19/1.45 ( C ))).
% 6.19/1.45 thf(zip_derived_cl0, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.19/1.45 X1) @
% 6.19/1.45 X2) @
% 6.19/1.45 (multiply @ X3 @ (inverse @ X3))))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('cnf', [status(esa)], [single_axiom])).
% 6.19/1.45 thf(zip_derived_cl0, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.19/1.45 X1) @
% 6.19/1.45 X2) @
% 6.19/1.45 (multiply @ X3 @ (inverse @ X3))))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('cnf', [status(esa)], [single_axiom])).
% 6.19/1.45 thf(zip_derived_cl3, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ X0 @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.19/1.45 X4)) @
% 6.19/1.45 X3) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl3, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ X0 @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.19/1.45 X4)) @
% 6.19/1.45 X3) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl18, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 6.19/1.45 thf(zip_derived_cl3, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ X0 @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.19/1.45 X4)) @
% 6.19/1.45 X3) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl0, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.19/1.45 X1) @
% 6.19/1.45 X2) @
% 6.19/1.45 (multiply @ X3 @ (inverse @ X3))))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('cnf', [status(esa)], [single_axiom])).
% 6.19/1.45 thf(zip_derived_cl11, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ X3 @
% 6.19/1.45 (multiply @
% 6.19/1.45 (inverse @ (multiply @ (multiply @ X2 @ X1) @ X3)) @ X2)) @
% 6.19/1.45 X1) @
% 6.19/1.45 (multiply @ X0 @ (inverse @ X0))))) @
% 6.19/1.45 X5) @
% 6.19/1.45 X4) @
% 6.19/1.45 (multiply @ X6 @ (inverse @ X6))))
% 6.19/1.45 = (inverse @ (multiply @ X5 @ X4)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl3, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ X0 @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.19/1.45 X4)) @
% 6.19/1.45 X3) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl37, plain,
% 6.19/1.45 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X5) @
% 6.19/1.45 X4) @
% 6.19/1.45 (multiply @ X6 @ (inverse @ X6))))
% 6.19/1.45 = (inverse @ (multiply @ X5 @ X4)))),
% 6.19/1.45 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 6.19/1.45 thf(zip_derived_cl3, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ X0 @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.19/1.45 X4)) @
% 6.19/1.45 X3) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl74, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (inverse @
% 6.19/1.45 (multiply @ (multiply @ X1 @ X0) @
% 6.19/1.45 (inverse @ (multiply @ X2 @ (inverse @ X2))))) @
% 6.19/1.45 X1) @
% 6.19/1.45 X0))
% 6.19/1.45 = (multiply @ X3 @ (inverse @ X3)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 6.19/1.45 thf(zip_derived_cl367, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @ X2) @
% 6.19/1.45 (inverse @ X2)))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl74])).
% 6.19/1.45 thf(zip_derived_cl0, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.19/1.45 X1) @
% 6.19/1.45 X2) @
% 6.19/1.45 (multiply @ X3 @ (inverse @ X3))))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('cnf', [status(esa)], [single_axiom])).
% 6.19/1.45 thf(zip_derived_cl458, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 6.19/1.45 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 6.19/1.45 X1) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (inverse @ X1))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl18, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 6.19/1.45 thf(zip_derived_cl458, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 6.19/1.45 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 6.19/1.45 X1) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (inverse @ X1))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl918, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (inverse @ X1))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 6.19/1.45 thf(zip_derived_cl3, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ X0 @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.19/1.45 X4)) @
% 6.19/1.45 X3) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl0, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.19/1.45 X1) @
% 6.19/1.45 X2) @
% 6.19/1.45 (multiply @ X3 @ (inverse @ X3))))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('cnf', [status(esa)], [single_axiom])).
% 6.19/1.45 thf(zip_derived_cl6, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ X3 @
% 6.19/1.45 (multiply @
% 6.19/1.45 (inverse @ (multiply @ (multiply @ X2 @ X1) @ X3)) @ X2)) @
% 6.19/1.45 X1) @
% 6.19/1.45 (multiply @ X0 @ (inverse @ X0)))) @
% 6.19/1.45 X4)) @
% 6.19/1.45 X6) @
% 6.19/1.45 (inverse @ X6)) @
% 6.19/1.45 (multiply @ X5 @ (inverse @ X5))))
% 6.19/1.45 = (X4))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl3, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ X0 @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.19/1.45 X4)) @
% 6.19/1.45 X3) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.19/1.45 thf(zip_derived_cl33, plain,
% 6.19/1.45 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X4)) @
% 6.19/1.45 X6) @
% 6.19/1.45 (inverse @ X6)) @
% 6.19/1.45 (multiply @ X5 @ (inverse @ X5))))
% 6.19/1.45 = (X4))),
% 6.19/1.45 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 6.19/1.45 thf(zip_derived_cl1021, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 6.19/1.45 thf(zip_derived_cl1213, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 6.19/1.45 (inverse @ (multiply @ X0 @ (inverse @ X0)))))))))
% 6.19/1.45 = (multiply @ X2 @ (inverse @ X2)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl458, zip_derived_cl1021])).
% 6.19/1.45 thf(zip_derived_cl1021, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 6.19/1.45 thf(zip_derived_cl1244, plain,
% 6.19/1.45 (![X0 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 6.19/1.45 = (multiply @ X2 @ (inverse @ X2)))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl1213, zip_derived_cl1021])).
% 6.19/1.45 thf(zip_derived_cl1021, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 6.19/1.45 thf(zip_derived_cl1287, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) @ X1)))))
% 6.19/1.45 = (X1))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl1244, zip_derived_cl1021])).
% 6.19/1.45 thf(zip_derived_cl918, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (inverse @ X1))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 6.19/1.45 thf(zip_derived_cl37, plain,
% 6.19/1.45 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X5) @
% 6.19/1.45 X4) @
% 6.19/1.45 (multiply @ X6 @ (inverse @ X6))))
% 6.19/1.45 = (inverse @ (multiply @ X5 @ X4)))),
% 6.19/1.45 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 6.19/1.45 thf(zip_derived_cl1022, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @ X0)
% 6.19/1.45 = (inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))) @ X0)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl37])).
% 6.19/1.45 thf(zip_derived_cl1404, plain,
% 6.19/1.45 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl1287, zip_derived_cl1022])).
% 6.19/1.45 thf(zip_derived_cl1021, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 6.19/1.45 thf(zip_derived_cl1449, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 6.19/1.45 thf(zip_derived_cl918, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (inverse @ X1))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 6.19/1.45 thf(zip_derived_cl1449, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 6.19/1.45 thf(zip_derived_cl1483, plain,
% 6.19/1.45 (![X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @ (multiply @ X1 @ (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (inverse @ X1))),
% 6.19/1.45 inference('demod', [status(thm)], [zip_derived_cl918, zip_derived_cl1449])).
% 6.19/1.45 thf(zip_derived_cl1404, plain,
% 6.19/1.45 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl1287, zip_derived_cl1022])).
% 6.19/1.45 thf(zip_derived_cl1590, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @ (inverse @ (inverse @ (inverse @ X0))))
% 6.19/1.45 = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl1483, zip_derived_cl1404])).
% 6.19/1.45 thf(zip_derived_cl1404, plain,
% 6.19/1.45 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl1287, zip_derived_cl1022])).
% 6.19/1.45 thf(zip_derived_cl1617, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl1590, zip_derived_cl1404])).
% 6.19/1.45 thf(zip_derived_cl1632, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 6.19/1.45 thf(zip_derived_cl0, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.19/1.45 X1) @
% 6.19/1.45 X2) @
% 6.19/1.45 (multiply @ X3 @ (inverse @ X3))))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('cnf', [status(esa)], [single_axiom])).
% 6.19/1.45 thf(zip_derived_cl1617, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl1590, zip_derived_cl1404])).
% 6.19/1.45 thf(zip_derived_cl1619, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @ X1) @
% 6.19/1.45 X2))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1617])).
% 6.19/1.45 thf(zip_derived_cl2507, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ X0 @ (inverse @ (multiply @ X2 @ (inverse @ X2)))) @
% 6.19/1.45 X1)) @
% 6.19/1.45 X0))
% 6.19/1.45 = (X1))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl1619])).
% 6.19/1.45 thf(zip_derived_cl1632, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 6.19/1.45 thf(zip_derived_cl2558, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)) = (X1))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl2507, zip_derived_cl1632])).
% 6.19/1.45 thf(zip_derived_cl1632, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 6.19/1.45 thf(zip_derived_cl2558, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)) = (X1))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl2507, zip_derived_cl1632])).
% 6.19/1.45 thf(zip_derived_cl2628, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X0)))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl2558])).
% 6.19/1.45 thf(zip_derived_cl18, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 6.19/1.45 thf(zip_derived_cl367, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @ X2) @
% 6.19/1.45 (inverse @ X2)))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl74])).
% 6.19/1.45 thf(zip_derived_cl476, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 6.19/1.45 (inverse @ (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl367])).
% 6.19/1.45 thf(zip_derived_cl1244, plain,
% 6.19/1.45 (![X0 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 6.19/1.45 = (multiply @ X2 @ (inverse @ X2)))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl1213, zip_derived_cl1021])).
% 6.19/1.45 thf(zip_derived_cl1364, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 6.19/1.45 (inverse @
% 6.19/1.45 (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))) @
% 6.19/1.45 (multiply @ X0 @ (inverse @ X0)))))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl476, zip_derived_cl1244])).
% 6.19/1.45 thf(zip_derived_cl1244, plain,
% 6.19/1.45 (![X0 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 6.19/1.45 = (multiply @ X2 @ (inverse @ X2)))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl1213, zip_derived_cl1021])).
% 6.19/1.45 thf(zip_derived_cl918, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 6.19/1.45 (multiply @ X2 @ (inverse @ X2))))
% 6.19/1.45 = (inverse @ X1))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 6.19/1.45 thf(zip_derived_cl1244, plain,
% 6.19/1.45 (![X0 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 6.19/1.45 = (multiply @ X2 @ (inverse @ X2)))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl1213, zip_derived_cl1021])).
% 6.19/1.45 thf(zip_derived_cl1398, plain,
% 6.19/1.45 (![X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @ (multiply @ X2 @ (inverse @ X2)))
% 6.19/1.45 = (multiply @ X1 @ (inverse @ X1)))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl1364, zip_derived_cl1244, zip_derived_cl918,
% 6.19/1.45 zip_derived_cl1244])).
% 6.19/1.45 thf(zip_derived_cl1449, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 6.19/1.45 thf(zip_derived_cl2662, plain,
% 6.19/1.45 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 6.19/1.45 thf(zip_derived_cl2717, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl2558, zip_derived_cl2662])).
% 6.19/1.45 thf(zip_derived_cl2717, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl2558, zip_derived_cl2662])).
% 6.19/1.45 thf(zip_derived_cl2794, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @ X1)
% 6.19/1.45 = (multiply @ (inverse @ (inverse @ X0)) @
% 6.19/1.45 (inverse @ (multiply @ X1 @ X0))))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl2717, zip_derived_cl2717])).
% 6.19/1.45 thf(zip_derived_cl2662, plain,
% 6.19/1.45 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 6.19/1.45 thf(zip_derived_cl2804, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i]:
% 6.19/1.45 ((inverse @ X1) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl2794, zip_derived_cl2662])).
% 6.19/1.45 thf(zip_derived_cl1619, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @
% 6.19/1.45 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @ X1) @
% 6.19/1.45 X2))
% 6.19/1.45 = (X0))),
% 6.19/1.45 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1617])).
% 6.19/1.45 thf(zip_derived_cl2898, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @
% 6.19/1.45 (multiply @ (multiply @ (inverse @ (inverse @ X0)) @ X2) @ X1))
% 6.19/1.45 = (inverse @ (multiply @ X0 @ (multiply @ X2 @ X1))))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl2804, zip_derived_cl1619])).
% 6.19/1.45 thf(zip_derived_cl2662, plain,
% 6.19/1.45 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 6.19/1.45 thf(zip_derived_cl2933, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @ (multiply @ (multiply @ X0 @ X2) @ X1))
% 6.19/1.45 = (inverse @ (multiply @ X0 @ (multiply @ X2 @ X1))))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl2898, zip_derived_cl2662])).
% 6.19/1.45 thf(zip_derived_cl2662, plain,
% 6.19/1.45 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 6.19/1.45 thf(zip_derived_cl3770, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((inverse @ (inverse @ (multiply @ X2 @ (multiply @ X1 @ X0))))
% 6.19/1.45 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 6.19/1.45 inference('sup+', [status(thm)], [zip_derived_cl2933, zip_derived_cl2662])).
% 6.19/1.45 thf(zip_derived_cl2662, plain,
% 6.19/1.45 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 6.19/1.45 thf(zip_derived_cl3882, plain,
% 6.19/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.45 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 6.19/1.45 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 6.19/1.45 inference('demod', [status(thm)],
% 6.19/1.45 [zip_derived_cl3770, zip_derived_cl2662])).
% 6.19/1.45 thf(zip_derived_cl3890, plain,
% 6.19/1.45 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 6.19/1.45 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 6.19/1.45 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3882])).
% 6.19/1.45 thf(zip_derived_cl3891, plain, ($false),
% 6.19/1.45 inference('simplify', [status(thm)], [zip_derived_cl3890])).
% 6.19/1.45
% 6.19/1.45 % SZS output end Refutation
% 6.19/1.45
% 6.19/1.45
% 6.19/1.45 % Terminating...
% 6.64/1.55 % Runner terminated.
% 6.64/1.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------