%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP434-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7UwqNunzSh true
% Computer : n024.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 Oct 2 04:36:26 PM UTC 2025
% Result : Unsatisfiable 8.51s 1.85s
% Output : Refutation 8.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : GRP434-1 : TPTP v9.2.0. Released v2.6.0.
% 0.08/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7UwqNunzSh true
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 14:17:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.17/0.61 % Total configuration time : 435
% 0.17/0.61 % Estimated wc time : 1092
% 0.17/0.61 % Estimated cpu time (7 cpus) : 156.0
% 1.23/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.23/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 8.51/1.85 % Solved by fo/fo7.sh.
% 8.51/1.85 % done 484 iterations in 1.106s
% 8.51/1.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.51/1.85 % SZS output start Refutation
% 8.51/1.85 thf(b2_type, type, b2: $i).
% 8.51/1.85 thf(a2_type, type, a2: $i).
% 8.51/1.85 thf(inverse_type, type, inverse: $i > $i).
% 8.51/1.85 thf(multiply_type, type, multiply: $i > $i > $i).
% 8.51/1.85 thf(prove_these_axioms_2, conjecture,
% 8.51/1.85 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 8.51/1.85 thf(zf_stmt_0, negated_conjecture,
% 8.51/1.85 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 8.51/1.85 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 8.51/1.85 thf(zip_derived_cl1, plain,
% 8.51/1.85 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 8.51/1.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.51/1.85 thf(single_axiom, axiom,
% 8.51/1.85 (( inverse @
% 8.51/1.85 ( multiply @
% 8.51/1.85 ( multiply @
% 8.51/1.85 ( multiply @
% 8.51/1.85 ( inverse @ ( multiply @ ( multiply @ A @ B ) @ C ) ) @ A ) @
% 8.51/1.85 B ) @
% 8.51/1.85 ( multiply @ D @ ( inverse @ D ) ) ) ) =
% 8.51/1.85 ( C ))).
% 8.51/1.85 thf(zip_derived_cl0, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 8.51/1.85 X1) @
% 8.51/1.85 X2) @
% 8.51/1.85 (multiply @ X3 @ (inverse @ X3))))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('cnf', [status(esa)], [single_axiom])).
% 8.51/1.85 thf(zip_derived_cl0, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 8.51/1.85 X1) @
% 8.51/1.85 X2) @
% 8.51/1.85 (multiply @ X3 @ (inverse @ X3))))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('cnf', [status(esa)], [single_axiom])).
% 8.51/1.85 thf(zip_derived_cl3, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ X0 @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 8.51/1.85 X4)) @
% 8.51/1.85 X3) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl3, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ X0 @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 8.51/1.85 X4)) @
% 8.51/1.85 X3) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl18, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 8.51/1.85 thf(zip_derived_cl3, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ X0 @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 8.51/1.85 X4)) @
% 8.51/1.85 X3) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl0, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 8.51/1.85 X1) @
% 8.51/1.85 X2) @
% 8.51/1.85 (multiply @ X3 @ (inverse @ X3))))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('cnf', [status(esa)], [single_axiom])).
% 8.51/1.85 thf(zip_derived_cl11, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ X3 @
% 8.51/1.85 (multiply @
% 8.51/1.85 (inverse @ (multiply @ (multiply @ X2 @ X1) @ X3)) @ X2)) @
% 8.51/1.85 X1) @
% 8.51/1.85 (multiply @ X0 @ (inverse @ X0))))) @
% 8.51/1.85 X5) @
% 8.51/1.85 X4) @
% 8.51/1.85 (multiply @ X6 @ (inverse @ X6))))
% 8.51/1.85 = (inverse @ (multiply @ X5 @ X4)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl3, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ X0 @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 8.51/1.85 X4)) @
% 8.51/1.85 X3) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl37, plain,
% 8.51/1.85 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X5) @
% 8.51/1.85 X4) @
% 8.51/1.85 (multiply @ X6 @ (inverse @ X6))))
% 8.51/1.85 = (inverse @ (multiply @ X5 @ X4)))),
% 8.51/1.85 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 8.51/1.85 thf(zip_derived_cl3, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ X0 @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 8.51/1.85 X4)) @
% 8.51/1.85 X3) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl74, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (inverse @
% 8.51/1.85 (multiply @ (multiply @ X1 @ X0) @
% 8.51/1.85 (inverse @ (multiply @ X2 @ (inverse @ X2))))) @
% 8.51/1.85 X1) @
% 8.51/1.85 X0))
% 8.51/1.85 = (multiply @ X3 @ (inverse @ X3)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 8.51/1.85 thf(zip_derived_cl367, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @ X2) @
% 8.51/1.85 (inverse @ X2)))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl74])).
% 8.51/1.85 thf(zip_derived_cl0, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 8.51/1.85 X1) @
% 8.51/1.85 X2) @
% 8.51/1.85 (multiply @ X3 @ (inverse @ X3))))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('cnf', [status(esa)], [single_axiom])).
% 8.51/1.85 thf(zip_derived_cl458, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 8.51/1.85 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 8.51/1.85 X1) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (inverse @ X1))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl18, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 8.51/1.85 thf(zip_derived_cl458, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 8.51/1.85 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 8.51/1.85 X1) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (inverse @ X1))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl918, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (inverse @ X1))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 8.51/1.85 thf(zip_derived_cl3, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ X0 @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 8.51/1.85 X4)) @
% 8.51/1.85 X3) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl0, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 8.51/1.85 X1) @
% 8.51/1.85 X2) @
% 8.51/1.85 (multiply @ X3 @ (inverse @ X3))))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('cnf', [status(esa)], [single_axiom])).
% 8.51/1.85 thf(zip_derived_cl6, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ X3 @
% 8.51/1.85 (multiply @
% 8.51/1.85 (inverse @ (multiply @ (multiply @ X2 @ X1) @ X3)) @ X2)) @
% 8.51/1.85 X1) @
% 8.51/1.85 (multiply @ X0 @ (inverse @ X0)))) @
% 8.51/1.85 X4)) @
% 8.51/1.85 X6) @
% 8.51/1.85 (inverse @ X6)) @
% 8.51/1.85 (multiply @ X5 @ (inverse @ X5))))
% 8.51/1.85 = (X4))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl3, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ X0 @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 8.51/1.85 X4)) @
% 8.51/1.85 X3) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.51/1.85 thf(zip_derived_cl33, plain,
% 8.51/1.85 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X4)) @
% 8.51/1.85 X6) @
% 8.51/1.85 (inverse @ X6)) @
% 8.51/1.85 (multiply @ X5 @ (inverse @ X5))))
% 8.51/1.85 = (X4))),
% 8.51/1.85 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 8.51/1.85 thf(zip_derived_cl1021, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 8.51/1.85 thf(zip_derived_cl1213, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 8.51/1.85 (inverse @ (multiply @ X0 @ (inverse @ X0)))))))))
% 8.51/1.85 = (multiply @ X2 @ (inverse @ X2)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl458, zip_derived_cl1021])).
% 8.51/1.85 thf(zip_derived_cl1021, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 8.51/1.85 thf(zip_derived_cl1244, plain,
% 8.51/1.85 (![X0 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 8.51/1.85 = (multiply @ X2 @ (inverse @ X2)))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1213, zip_derived_cl1021])).
% 8.51/1.85 thf(zip_derived_cl1021, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 8.51/1.85 thf(zip_derived_cl1287, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) @ X1)))))
% 8.51/1.85 = (X1))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1244, zip_derived_cl1021])).
% 8.51/1.85 thf(zip_derived_cl918, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (inverse @ X1))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 8.51/1.85 thf(zip_derived_cl37, plain,
% 8.51/1.85 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X5) @
% 8.51/1.85 X4) @
% 8.51/1.85 (multiply @ X6 @ (inverse @ X6))))
% 8.51/1.85 = (inverse @ (multiply @ X5 @ X4)))),
% 8.51/1.85 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 8.51/1.85 thf(zip_derived_cl1022, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((inverse @ X0)
% 8.51/1.85 = (inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))) @ X0)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl37])).
% 8.51/1.85 thf(zip_derived_cl1404, plain,
% 8.51/1.85 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1287, zip_derived_cl1022])).
% 8.51/1.85 thf(zip_derived_cl1404, plain,
% 8.51/1.85 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1287, zip_derived_cl1022])).
% 8.51/1.85 thf(zip_derived_cl1021, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 8.51/1.85 thf(zip_derived_cl1449, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 8.51/1.85 thf(zip_derived_cl1522, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((multiply @
% 8.51/1.85 (multiply @ (inverse @ (inverse @ (inverse @ X0))) @ X0) @ X1)
% 8.51/1.85 = (X1))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1449])).
% 8.51/1.85 thf(zip_derived_cl1449, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 8.51/1.85 thf(zip_derived_cl918, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (inverse @ X1))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 8.51/1.85 thf(zip_derived_cl1449, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 8.51/1.85 thf(zip_derived_cl1483, plain,
% 8.51/1.85 (![X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @ (multiply @ X1 @ (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (inverse @ X1))),
% 8.51/1.85 inference('demod', [status(thm)], [zip_derived_cl918, zip_derived_cl1449])).
% 8.51/1.85 thf(zip_derived_cl1404, plain,
% 8.51/1.85 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1287, zip_derived_cl1022])).
% 8.51/1.85 thf(zip_derived_cl1590, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((inverse @ (inverse @ (inverse @ (inverse @ X0))))
% 8.51/1.85 = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1483, zip_derived_cl1404])).
% 8.51/1.85 thf(zip_derived_cl1404, plain,
% 8.51/1.85 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1287, zip_derived_cl1022])).
% 8.51/1.85 thf(zip_derived_cl1617, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1590, zip_derived_cl1404])).
% 8.51/1.85 thf(zip_derived_cl1632, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 8.51/1.85 thf(zip_derived_cl1632, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 8.51/1.85 thf(zip_derived_cl0, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 8.51/1.85 X1) @
% 8.51/1.85 X2) @
% 8.51/1.85 (multiply @ X3 @ (inverse @ X3))))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('cnf', [status(esa)], [single_axiom])).
% 8.51/1.85 thf(zip_derived_cl1617, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1590, zip_derived_cl1404])).
% 8.51/1.85 thf(zip_derived_cl1619, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @ X1) @
% 8.51/1.85 X2))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1617])).
% 8.51/1.85 thf(zip_derived_cl2507, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ X0 @ (inverse @ (multiply @ X2 @ (inverse @ X2)))) @
% 8.51/1.85 X1)) @
% 8.51/1.85 X0))
% 8.51/1.85 = (X1))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl1619])).
% 8.51/1.85 thf(zip_derived_cl1632, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 8.51/1.85 thf(zip_derived_cl2558, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)) = (X1))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl2507, zip_derived_cl1632])).
% 8.51/1.85 thf(zip_derived_cl2628, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X0)))
% 8.51/1.85 = (X0))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl2558])).
% 8.51/1.85 thf(zip_derived_cl18, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 8.51/1.85 thf(zip_derived_cl367, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @ X2) @
% 8.51/1.85 (inverse @ X2)))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl74])).
% 8.51/1.85 thf(zip_derived_cl476, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 8.51/1.85 (inverse @ (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl367])).
% 8.51/1.85 thf(zip_derived_cl1244, plain,
% 8.51/1.85 (![X0 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 8.51/1.85 = (multiply @ X2 @ (inverse @ X2)))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1213, zip_derived_cl1021])).
% 8.51/1.85 thf(zip_derived_cl1364, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (inverse @
% 8.51/1.85 (multiply @
% 8.51/1.85 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.51/1.85 (inverse @
% 8.51/1.85 (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))) @
% 8.51/1.85 (multiply @ X0 @ (inverse @ X0)))))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl476, zip_derived_cl1244])).
% 8.51/1.85 thf(zip_derived_cl1244, plain,
% 8.51/1.85 (![X0 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 8.51/1.85 = (multiply @ X2 @ (inverse @ X2)))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1213, zip_derived_cl1021])).
% 8.51/1.85 thf(zip_derived_cl918, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @
% 8.51/1.85 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 8.51/1.85 (multiply @ X2 @ (inverse @ X2))))
% 8.51/1.85 = (inverse @ X1))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 8.51/1.85 thf(zip_derived_cl1244, plain,
% 8.51/1.85 (![X0 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 8.51/1.85 = (multiply @ X2 @ (inverse @ X2)))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1213, zip_derived_cl1021])).
% 8.51/1.85 thf(zip_derived_cl1398, plain,
% 8.51/1.85 (![X1 : $i, X2 : $i]:
% 8.51/1.85 ((inverse @ (multiply @ X2 @ (inverse @ X2)))
% 8.51/1.85 = (multiply @ X1 @ (inverse @ X1)))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1364, zip_derived_cl1244, zip_derived_cl918,
% 8.51/1.85 zip_derived_cl1244])).
% 8.51/1.85 thf(zip_derived_cl1449, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 8.51/1.85 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 8.51/1.85 thf(zip_derived_cl2662, plain,
% 8.51/1.85 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 8.51/1.85 thf(zip_derived_cl2692, plain,
% 8.51/1.85 (![X0 : $i, X1 : $i]:
% 8.51/1.85 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 8.51/1.85 inference('demod', [status(thm)],
% 8.51/1.85 [zip_derived_cl1522, zip_derived_cl2662])).
% 8.51/1.85 thf(zip_derived_cl2720, plain, (((a2) != (a2))),
% 8.51/1.85 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2692])).
% 8.51/1.85 thf(zip_derived_cl2721, plain, ($false),
% 8.51/1.85 inference('simplify', [status(thm)], [zip_derived_cl2720])).
% 8.51/1.85
% 8.51/1.85 % SZS output end Refutation
% 8.51/1.85
% 8.51/1.85
% 8.51/1.85 % Terminating...
% 9.26/1.94 % Runner terminated.
% 9.27/1.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------