%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP606-1 : 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.W9L3Z2whwu true
% Computer : n029.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 04:36:46 PM UTC 2025
% Result : Unsatisfiable 0.58s 1.16s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP606-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W9L3Z2whwu true
% 0.14/0.35 % Computer : n029.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 : Wed Oct 1 14:04:38 EDT 2025
% 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
% 0.14/0.36 % Running in FO mode
% 0.55/0.67 % Total configuration time : 435
% 0.55/0.67 % Estimated wc time : 1092
% 0.55/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.84 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/1.16 % Solved by fo/fo5.sh.
% 0.58/1.16 % done 109 iterations in 0.303s
% 0.58/1.16 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.16 % SZS output start Refutation
% 0.58/1.16 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/1.16 thf(a2_type, type, a2: $i).
% 0.58/1.16 thf(inverse_type, type, inverse: $i > $i).
% 0.58/1.16 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.58/1.16 thf(b2_type, type, b2: $i).
% 0.58/1.16 thf(prove_these_axioms_2, conjecture,
% 0.58/1.16 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.58/1.16 thf(zf_stmt_0, negated_conjecture,
% 0.58/1.16 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.58/1.16 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.58/1.16 thf(zip_derived_cl2, plain,
% 0.58/1.16 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.58/1.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.16 thf(multiply, axiom,
% 0.58/1.16 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(single_axiom, axiom,
% 0.58/1.16 (( double_divide @
% 0.58/1.16 ( inverse @
% 0.58/1.16 ( double_divide @
% 0.58/1.16 A @
% 0.58/1.16 ( inverse @
% 0.58/1.16 ( double_divide @ ( inverse @ B ) @ ( double_divide @ A @ C ) ) ) ) ) @
% 0.58/1.16 C ) =
% 0.58/1.16 ( B ))).
% 0.58/1.16 thf(zip_derived_cl0, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @
% 0.58/1.16 (inverse @
% 0.58/1.16 (double_divide @ X1 @
% 0.58/1.16 (inverse @
% 0.58/1.16 (double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))))) @
% 0.58/1.16 X2) = (X0))),
% 0.58/1.16 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(zip_derived_cl3, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X1 @ X2) @ (inverse @ X0)) @ X1) @
% 0.58/1.16 X2) = (X0))),
% 0.58/1.16 inference('demod', [status(thm)],
% 0.58/1.16 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(zip_derived_cl5, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ X1 @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X2 @ X1) @ (inverse @ X0)) @ X2))
% 0.58/1.16 = (inverse @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl3, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X1 @ X2) @ (inverse @ X0)) @ X1) @
% 0.58/1.16 X2) = (X0))),
% 0.58/1.16 inference('demod', [status(thm)],
% 0.58/1.16 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl3, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X1 @ X2) @ (inverse @ X0)) @ X1) @
% 0.58/1.16 X2) = (X0))),
% 0.58/1.16 inference('demod', [status(thm)],
% 0.58/1.16 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl4, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.16 ((double_divide @
% 0.58/1.16 (multiply @ (multiply @ X0 @ (inverse @ X1)) @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X3 @ X2) @ (inverse @ X0)) @ X3)) @
% 0.58/1.16 X2) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 0.58/1.16 thf(zip_derived_cl91, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ X0) @ (multiply @ X0 @ (inverse @ X1)))
% 0.58/1.16 = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(zip_derived_cl102, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ (inverse @ X1))
% 0.58/1.16 = (inverse @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl102, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ (inverse @ X1))
% 0.58/1.16 = (inverse @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl117, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (inverse @ X0) @
% 0.58/1.16 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl102])).
% 0.58/1.16 thf(zip_derived_cl91, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ X0) @ (multiply @ X0 @ (inverse @ X1)))
% 0.58/1.16 = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 0.58/1.16 thf(zip_derived_cl128, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ (inverse @ X1)) @ (inverse @ X0))
% 0.58/1.16 = (multiply @ X0 @ (inverse @ X1)))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl91])).
% 0.58/1.16 thf(zip_derived_cl182, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ (multiply @ X1 @ X0)) @ (inverse @ X2))
% 0.58/1.16 = (multiply @ X2 @ (inverse @ (double_divide @ X0 @ X1))))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl128])).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(zip_derived_cl183, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ (multiply @ X1 @ X0)) @ (inverse @ X2))
% 0.58/1.16 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl102, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ (inverse @ X1))
% 0.58/1.16 = (inverse @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl91, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ X0) @ (multiply @ X0 @ (inverse @ X1)))
% 0.58/1.16 = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 0.58/1.16 thf(zip_derived_cl116, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ (multiply @ X1 @ (inverse @ X0))) @
% 0.58/1.16 (inverse @ X0)) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl91])).
% 0.58/1.16 thf(zip_derived_cl262, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl116])).
% 0.58/1.16 thf(zip_derived_cl5, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ X1 @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X2 @ X1) @ (inverse @ X0)) @ X2))
% 0.58/1.16 = (inverse @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl285, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (double_divide @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 0.58/1.16 = (inverse @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl5])).
% 0.58/1.16 thf(zip_derived_cl91, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ X0) @ (multiply @ X0 @ (inverse @ X1)))
% 0.58/1.16 = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 0.58/1.16 thf(zip_derived_cl486, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.58/1.16 (inverse @ X0)) = (X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl285, zip_derived_cl91])).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(zip_derived_cl505, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (multiply @ X1 @ (inverse @ X1)) @ (inverse @ X0))
% 0.58/1.16 = (X0))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl486, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl5, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ X1 @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X2 @ X1) @ (inverse @ X0)) @ X2))
% 0.58/1.16 = (inverse @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(zip_derived_cl5, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ X1 @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X2 @ X1) @ (inverse @ X0)) @ X2))
% 0.58/1.16 = (inverse @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl8, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.16 ((multiply @ X3 @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X2 @ X3) @ (multiply @ X1 @ X0)) @ X2))
% 0.58/1.16 = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(zip_derived_cl10, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.16 ((multiply @ X3 @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X2 @ X3) @ (multiply @ X1 @ X0)) @ X2))
% 0.58/1.16 = (multiply @ X1 @ X0))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl13, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.16 ((multiply @ X2 @ (multiply @ (inverse @ X0) @ X3))
% 0.58/1.16 = (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X1 @ (double_divide @ X3 @ X2)) @
% 0.58/1.16 (inverse @ X0)) @
% 0.58/1.16 X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl10])).
% 0.58/1.16 thf(zip_derived_cl3, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @
% 0.58/1.16 (multiply @
% 0.58/1.16 (multiply @ (double_divide @ X1 @ X2) @ (inverse @ X0)) @ X1) @
% 0.58/1.16 X2) = (X0))),
% 0.58/1.16 inference('demod', [status(thm)],
% 0.58/1.16 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl37, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @
% 0.58/1.16 (multiply @ X2 @ (multiply @ (inverse @ X1) @ X0)) @
% 0.58/1.16 (double_divide @ X0 @ X2)) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl3])).
% 0.58/1.16 thf(zip_derived_cl923, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @
% 0.58/1.16 (multiply @ (inverse @ X0) @
% 0.58/1.16 (multiply @ (inverse @ X1) @ (multiply @ X2 @ (inverse @ X2)))) @
% 0.58/1.16 X0) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl505, zip_derived_cl37])).
% 0.58/1.16 thf(zip_derived_cl285, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (double_divide @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 0.58/1.16 = (inverse @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl5])).
% 0.58/1.16 thf(zip_derived_cl262, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl116])).
% 0.58/1.16 thf(zip_derived_cl487, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (inverse @ X0))
% 0.58/1.16 = (double_divide @ (inverse @ X1) @ X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl285, zip_derived_cl262])).
% 0.58/1.16 thf(zip_derived_cl262, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl116])).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(zip_derived_cl102, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ (inverse @ X1))
% 0.58/1.16 = (inverse @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl121, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X2 @ (multiply @ X1 @ X0)) @ (inverse @ X2))
% 0.58/1.16 = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl102])).
% 0.58/1.16 thf(zip_derived_cl1, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/1.16 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.16 thf(zip_derived_cl122, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X2 @ (multiply @ X1 @ X0)) @ (inverse @ X2))
% 0.58/1.16 = (multiply @ X1 @ X0))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl283, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2))
% 0.58/1.16 = (multiply @ X1 @ (multiply @ X0 @ (inverse @ X1))))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl122])).
% 0.58/1.16 thf(zip_derived_cl262, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl116])).
% 0.58/1.16 thf(zip_derived_cl303, plain,
% 0.58/1.16 (![X0 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2)) = (X0))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl262])).
% 0.58/1.16 thf(zip_derived_cl91, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ X0) @ (multiply @ X0 @ (inverse @ X1)))
% 0.58/1.16 = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 0.58/1.16 thf(zip_derived_cl313, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ (multiply @ X1 @ X0)) @ X0) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl303, zip_derived_cl91])).
% 0.58/1.16 thf(zip_derived_cl529, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ (double_divide @ (inverse @ X0) @ X0)) @
% 0.58/1.16 (inverse @ X1)) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl313])).
% 0.58/1.16 thf(zip_derived_cl487, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (inverse @ X0))
% 0.58/1.16 = (double_divide @ (inverse @ X1) @ X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl285, zip_derived_cl262])).
% 0.58/1.16 thf(zip_derived_cl262, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl116])).
% 0.58/1.16 thf(zip_derived_cl183, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ (multiply @ X1 @ X0)) @ (inverse @ X2))
% 0.58/1.16 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 0.58/1.16 thf(zip_derived_cl284, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ X0) @ (inverse @ X2))
% 0.58/1.16 = (multiply @ X2 @
% 0.58/1.16 (multiply @ X1 @ (multiply @ X0 @ (inverse @ X1)))))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl183])).
% 0.58/1.16 thf(zip_derived_cl262, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl116])).
% 0.58/1.16 thf(zip_derived_cl304, plain,
% 0.58/1.16 (![X0 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ X0) @ (inverse @ X2))
% 0.58/1.16 = (multiply @ X2 @ X0))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl284, zip_derived_cl262])).
% 0.58/1.16 thf(zip_derived_cl558, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('demod', [status(thm)],
% 0.58/1.16 [zip_derived_cl529, zip_derived_cl487, zip_derived_cl304])).
% 0.58/1.16 thf(zip_derived_cl303, plain,
% 0.58/1.16 (![X0 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2)) = (X0))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl262])).
% 0.58/1.16 thf(zip_derived_cl303, plain,
% 0.58/1.16 (![X0 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2)) = (X0))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl262])).
% 0.58/1.16 thf(zip_derived_cl311, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl303, zip_derived_cl303])).
% 0.58/1.16 thf(zip_derived_cl303, plain,
% 0.58/1.16 (![X0 : $i, X2 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2)) = (X0))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl262])).
% 0.58/1.16 thf(zip_derived_cl334, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (inverse @ X0) @ (inverse @ X1))
% 0.58/1.16 = (inverse @ (multiply @ X0 @ X1)))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl311, zip_derived_cl303])).
% 0.58/1.16 thf(zip_derived_cl944, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ (multiply @ X0 @ X1)) @ X0) = (X1))),
% 0.58/1.16 inference('demod', [status(thm)],
% 0.58/1.16 [zip_derived_cl923, zip_derived_cl558, zip_derived_cl334])).
% 0.58/1.16 thf(zip_derived_cl304, plain,
% 0.58/1.16 (![X0 : $i, X2 : $i]:
% 0.58/1.16 ((double_divide @ (inverse @ X0) @ (inverse @ X2))
% 0.58/1.16 = (multiply @ X2 @ X0))),
% 0.58/1.16 inference('demod', [status(thm)], [zip_derived_cl284, zip_derived_cl262])).
% 0.58/1.16 thf(zip_derived_cl960, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((X0) = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl944, zip_derived_cl304])).
% 0.58/1.16 thf(zip_derived_cl558, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('demod', [status(thm)],
% 0.58/1.16 [zip_derived_cl529, zip_derived_cl487, zip_derived_cl304])).
% 0.58/1.16 thf(zip_derived_cl1111, plain,
% 0.58/1.16 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl960, zip_derived_cl558])).
% 0.58/1.16 thf(zip_derived_cl262, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl116])).
% 0.58/1.16 thf(zip_derived_cl1152, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl1111, zip_derived_cl262])).
% 0.58/1.16 thf(zip_derived_cl960, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((X0) = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl944, zip_derived_cl304])).
% 0.58/1.16 thf(zip_derived_cl1210, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl1152, zip_derived_cl960])).
% 0.58/1.16 thf(zip_derived_cl334, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (inverse @ X0) @ (inverse @ X1))
% 0.58/1.16 = (inverse @ (multiply @ X0 @ X1)))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl311, zip_derived_cl303])).
% 0.58/1.16 thf(zip_derived_cl558, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('demod', [status(thm)],
% 0.58/1.16 [zip_derived_cl529, zip_derived_cl487, zip_derived_cl304])).
% 0.58/1.16 thf(zip_derived_cl595, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl558])).
% 0.58/1.16 thf(zip_derived_cl262, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl116])).
% 0.58/1.16 thf(zip_derived_cl801, plain,
% 0.58/1.16 (![X0 : $i, X1 : $i]:
% 0.58/1.16 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 0.58/1.16 inference('sup+', [status(thm)], [zip_derived_cl595, zip_derived_cl262])).
% 0.58/1.16 thf(zip_derived_cl1250, plain, (((a2) != (a2))),
% 0.58/1.16 inference('demod', [status(thm)],
% 0.58/1.16 [zip_derived_cl2, zip_derived_cl1210, zip_derived_cl801])).
% 0.58/1.16 thf(zip_derived_cl1251, plain, ($false),
% 0.58/1.16 inference('simplify', [status(thm)], [zip_derived_cl1250])).
% 0.58/1.16
% 0.58/1.16 % SZS output end Refutation
% 0.58/1.16
% 0.58/1.16
% 0.58/1.16 % Terminating...
% 4.28/1.28 % Runner terminated.
% 4.28/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------