%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP110-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JyvQtMVxlV true
% Computer : n018.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 04:35:39 PM UTC 2025
% Result : Unsatisfiable 23.87s 4.17s
% Output : Refutation 23.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP110-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JyvQtMVxlV true
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Oct 1 14:10:38 EDT 2025
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.59/0.66 % Total configuration time : 435
% 0.59/0.66 % Estimated wc time : 1092
% 0.59/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 23.87/4.17 % Solved by fo/fo6_bce.sh.
% 23.87/4.17 % BCE start: 3
% 23.87/4.17 % BCE eliminated: 0
% 23.87/4.17 % PE start: 3
% 23.87/4.17 logic: eq
% 23.87/4.17 % PE eliminated: 0
% 23.87/4.17 % done 158 iterations in 3.390s
% 23.87/4.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 23.87/4.17 % SZS output start Refutation
% 23.87/4.17 thf(b3_type, type, b3: $i).
% 23.87/4.17 thf(multiply_type, type, multiply: $i > $i > $i).
% 23.87/4.17 thf(b1_type, type, b1: $i).
% 23.87/4.17 thf(inverse_type, type, inverse: $i > $i).
% 23.87/4.17 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 23.87/4.17 thf(a4_type, type, a4: $i).
% 23.87/4.17 thf(a3_type, type, a3: $i).
% 23.87/4.17 thf(a2_type, type, a2: $i).
% 23.87/4.17 thf(a1_type, type, a1: $i).
% 23.87/4.17 thf(b2_type, type, b2: $i).
% 23.87/4.17 thf(b4_type, type, b4: $i).
% 23.87/4.17 thf(c3_type, type, c3: $i).
% 23.87/4.17 thf(single_axiom, axiom,
% 23.87/4.17 (( inverse @
% 23.87/4.17 ( double_divide @
% 23.87/4.17 ( inverse @
% 23.87/4.17 ( double_divide @ ( inverse @ ( double_divide @ X @ Y ) ) @ Z ) ) @
% 23.87/4.17 ( double_divide @ X @ Z ) ) ) =
% 23.87/4.17 ( Y ))).
% 23.87/4.17 thf(zip_derived_cl0, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((inverse @
% 23.87/4.17 (double_divide @
% 23.87/4.17 (inverse @
% 23.87/4.17 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 23.87/4.17 (double_divide @ X1 @ X2)))
% 23.87/4.17 = (X0))),
% 23.87/4.17 inference('cnf', [status(esa)], [single_axiom])).
% 23.87/4.17 thf(multiply, axiom,
% 23.87/4.17 (( multiply @ X @ Y ) = ( inverse @ ( double_divide @ Y @ X ) ))).
% 23.87/4.17 thf(zip_derived_cl1, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 23.87/4.17 inference('cnf', [status(esa)], [multiply])).
% 23.87/4.17 thf(zip_derived_cl1, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 23.87/4.17 inference('cnf', [status(esa)], [multiply])).
% 23.87/4.17 thf(zip_derived_cl1, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 23.87/4.17 inference('cnf', [status(esa)], [multiply])).
% 23.87/4.17 thf(zip_derived_cl3, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X2) @
% 23.87/4.17 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 23.87/4.17 zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl3, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X2) @
% 23.87/4.17 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 23.87/4.17 zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl5, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)) @
% 23.87/4.17 X0) = (X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 23.87/4.17 thf(zip_derived_cl3, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X2) @
% 23.87/4.17 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 23.87/4.17 zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl3, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X2) @
% 23.87/4.17 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 23.87/4.17 zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl4, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (double_divide @ (multiply @ X1 @ (multiply @ X0 @ X2)) @ X3) @
% 23.87/4.17 (multiply @ X3 @ X0)) = (double_divide @ X2 @ X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 23.87/4.17 thf(zip_derived_cl99, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((X0)
% 23.87/4.17 = (double_divide @ X2 @
% 23.87/4.17 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 23.87/4.17 thf(zip_derived_cl3, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X2) @
% 23.87/4.17 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 23.87/4.17 zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl4, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (double_divide @ (multiply @ X1 @ (multiply @ X0 @ X2)) @ X3) @
% 23.87/4.17 (multiply @ X3 @ X0)) = (double_divide @ X2 @ X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 23.87/4.17 thf(zip_derived_cl15, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X0 @ X3) @ (multiply @ X3 @ X1))
% 23.87/4.17 = (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 23.87/4.17 thf(zip_derived_cl1, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 23.87/4.17 inference('cnf', [status(esa)], [multiply])).
% 23.87/4.17 thf(zip_derived_cl20, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X3 @ X0) @ (multiply @ X2 @ X3))
% 23.87/4.17 = (inverse @
% 23.87/4.17 (multiply @ (double_divide @ X2 @ X1) @ (multiply @ X1 @ X0))))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl20, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X3 @ X0) @ (multiply @ X2 @ X3))
% 23.87/4.17 = (inverse @
% 23.87/4.17 (multiply @ (double_divide @ X2 @ X1) @ (multiply @ X1 @ X0))))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl1393, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X3 @ X2) @ (multiply @ X1 @ X3))
% 23.87/4.17 = (multiply @ (double_divide @ X0 @ X2) @ (multiply @ X1 @ X0)))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 23.87/4.17 thf(zip_derived_cl15, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X0 @ X3) @ (multiply @ X3 @ X1))
% 23.87/4.17 = (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 23.87/4.17 thf(zip_derived_cl5, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)) @
% 23.87/4.17 X0) = (X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 23.87/4.17 thf(zip_derived_cl103, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (multiply @ (double_divide @ X2 @ X1) @ (multiply @ X1 @ X0)) @ X2)
% 23.87/4.17 = (X0))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl5])).
% 23.87/4.17 thf(zip_derived_cl1586, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (multiply @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X0)) @ X2)
% 23.87/4.17 = (X2))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl1393, zip_derived_cl103])).
% 23.87/4.17 thf(zip_derived_cl15, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X0 @ X3) @ (multiply @ X3 @ X1))
% 23.87/4.17 = (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 23.87/4.17 thf(zip_derived_cl4, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (double_divide @ (multiply @ X1 @ (multiply @ X0 @ X2)) @ X3) @
% 23.87/4.17 (multiply @ X3 @ X0)) = (double_divide @ X2 @ X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 23.87/4.17 thf(zip_derived_cl23, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (multiply @ (double_divide @ X2 @ X1) @ (multiply @ X1 @ X0)) @
% 23.87/4.17 (multiply @ (double_divide @ (multiply @ X4 @ X3) @ X0) @ X4))
% 23.87/4.17 = (double_divide @ X3 @ X2))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl4])).
% 23.87/4.17 thf(zip_derived_cl4963, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ (multiply @ X0 @ X2) @ X1) @ X0)
% 23.87/4.17 = (double_divide @ X2 @ X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl1586, zip_derived_cl23])).
% 23.87/4.17 thf(zip_derived_cl5059, plain,
% 23.87/4.17 (![X0 : $i, X2 : $i]:
% 23.87/4.17 ((X0) = (double_divide @ X2 @ (double_divide @ X2 @ X0)))),
% 23.87/4.17 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl4963])).
% 23.87/4.17 thf(zip_derived_cl1, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 23.87/4.17 inference('cnf', [status(esa)], [multiply])).
% 23.87/4.17 thf(zip_derived_cl5939, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl5059, zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl4, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (double_divide @ (multiply @ X1 @ (multiply @ X0 @ X2)) @ X3) @
% 23.87/4.17 (multiply @ X3 @ X0)) = (double_divide @ X2 @ X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 23.87/4.17 thf(zip_derived_cl3, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X2) @
% 23.87/4.17 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 23.87/4.17 zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl11, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (double_divide @ X3 @
% 23.87/4.17 (double_divide @ (multiply @ X0 @ (multiply @ X3 @ X1)) @ X2)) @
% 23.87/4.17 (double_divide @ X1 @ X0)) = (X2))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 23.87/4.17 thf(zip_derived_cl6532, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((inverse @
% 23.87/4.17 (double_divide @
% 23.87/4.17 (multiply @ X2 @ (multiply @ (double_divide @ X1 @ X2) @ X1)) @ X0))
% 23.87/4.17 = (X0))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl5939, zip_derived_cl11])).
% 23.87/4.17 thf(zip_derived_cl5939, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl5059, zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl1, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 23.87/4.17 inference('cnf', [status(esa)], [multiply])).
% 23.87/4.17 thf(zip_derived_cl6565, plain,
% 23.87/4.17 (![X0 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (multiply @ X2 @ (inverse @ X2))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl6532, zip_derived_cl5939, zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl5939, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl5059, zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl5, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)) @
% 23.87/4.17 X0) = (X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 23.87/4.17 thf(zip_derived_cl103, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (multiply @ (double_divide @ X2 @ X1) @ (multiply @ X1 @ X0)) @ X2)
% 23.87/4.17 = (X0))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl5])).
% 23.87/4.17 thf(zip_derived_cl230, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ X0 @
% 23.87/4.17 (multiply @ (multiply @ (double_divide @ X2 @ X0) @ X1) @ X2))
% 23.87/4.17 = (X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl103])).
% 23.87/4.17 thf(zip_derived_cl6527, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl5939, zip_derived_cl230])).
% 23.87/4.17 thf(zip_derived_cl7754, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl6565, zip_derived_cl6527])).
% 23.87/4.17 thf(prove_these_axioms, conjecture,
% 23.87/4.17 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 23.87/4.17 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 23.87/4.17 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 23.87/4.17 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 23.87/4.17 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 23.87/4.17 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 23.87/4.17 thf(zf_stmt_0, negated_conjecture,
% 23.87/4.17 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 23.87/4.17 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 23.87/4.17 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 23.87/4.17 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 23.87/4.17 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 23.87/4.17 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 23.87/4.17 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 23.87/4.17 thf(zip_derived_cl2, plain,
% 23.87/4.17 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 23.87/4.17 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 23.87/4.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 23.87/4.17 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 23.87/4.17 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 23.87/4.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.87/4.17 thf(zip_derived_cl5059, plain,
% 23.87/4.17 (![X0 : $i, X2 : $i]:
% 23.87/4.17 ((X0) = (double_divide @ X2 @ (double_divide @ X2 @ X0)))),
% 23.87/4.17 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl4963])).
% 23.87/4.17 thf(zip_derived_cl3, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X2) @
% 23.87/4.17 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 23.87/4.17 zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl103, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (multiply @ (double_divide @ X2 @ X1) @ (multiply @ X1 @ X0)) @ X2)
% 23.87/4.17 = (X0))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl5])).
% 23.87/4.17 thf(zip_derived_cl239, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (multiply @ (double_divide @ X3 @ (double_divide @ X1 @ X2)) @ X0) @
% 23.87/4.17 X3) = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl103])).
% 23.87/4.17 thf(zip_derived_cl5965, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 23.87/4.17 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl5059, zip_derived_cl239])).
% 23.87/4.17 thf(zip_derived_cl5965, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 23.87/4.17 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl5059, zip_derived_cl239])).
% 23.87/4.17 thf(zip_derived_cl1586, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (multiply @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X0)) @ X2)
% 23.87/4.17 = (X2))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl1393, zip_derived_cl103])).
% 23.87/4.17 thf(zip_derived_cl15, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X0 @ X3) @ (multiply @ X3 @ X1))
% 23.87/4.17 = (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 23.87/4.17 thf(zip_derived_cl3, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ (double_divide @ X1 @ X2) @
% 23.87/4.17 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 23.87/4.17 zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl32, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((double_divide @ (multiply @ X0 @ X2) @
% 23.87/4.17 (double_divide @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl3])).
% 23.87/4.17 thf(zip_derived_cl239, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (multiply @ (double_divide @ X3 @ (double_divide @ X1 @ X2)) @ X0) @
% 23.87/4.17 X3) = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl103])).
% 23.87/4.17 thf(zip_derived_cl350, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.87/4.17 ((multiply @ (multiply @ X0 @ X2) @ (multiply @ X3 @ X1))
% 23.87/4.17 = (multiply @ (multiply @ X0 @ X3) @ (multiply @ X2 @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl239])).
% 23.87/4.17 thf(zip_derived_cl4888, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 23.87/4.17 = (multiply @
% 23.87/4.17 (multiply @
% 23.87/4.17 (multiply @ (double_divide @ X3 @ X4) @ (multiply @ X4 @ X3)) @
% 23.87/4.17 X2) @
% 23.87/4.17 (multiply @ X0 @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl1586, zip_derived_cl350])).
% 23.87/4.17 thf(zip_derived_cl1586, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @
% 23.87/4.17 (multiply @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X0)) @ X2)
% 23.87/4.17 = (X2))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl1393, zip_derived_cl103])).
% 23.87/4.17 thf(zip_derived_cl5051, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 23.87/4.17 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl4888, zip_derived_cl1586])).
% 23.87/4.17 thf(zip_derived_cl6527, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl5939, zip_derived_cl230])).
% 23.87/4.17 thf(zip_derived_cl7147, plain,
% 23.87/4.17 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 23.87/4.17 | ((multiply @ a3 @ (multiply @ b3 @ c3))
% 23.87/4.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 23.87/4.17 | ((a2) != (a2))
% 23.87/4.17 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl2, zip_derived_cl5965, zip_derived_cl5965,
% 23.87/4.17 zip_derived_cl5051, zip_derived_cl6527])).
% 23.87/4.17 thf(zip_derived_cl7148, plain,
% 23.87/4.17 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 23.87/4.17 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 23.87/4.17 inference('simplify', [status(thm)], [zip_derived_cl7147])).
% 23.87/4.17 thf(zip_derived_cl6565, plain,
% 23.87/4.17 (![X0 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (multiply @ X2 @ (inverse @ X2))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl6532, zip_derived_cl5939, zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl5051, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 23.87/4.17 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl4888, zip_derived_cl1586])).
% 23.87/4.17 thf(zip_derived_cl7705, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (multiply @ X2 @ (multiply @ X1 @ (inverse @ X1))))
% 23.87/4.17 = (multiply @ X2 @ X0))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl6565, zip_derived_cl5051])).
% 23.87/4.17 thf(zip_derived_cl6565, plain,
% 23.87/4.17 (![X0 : $i, X2 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (multiply @ X2 @ (inverse @ X2))) = (X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl6532, zip_derived_cl5939, zip_derived_cl1])).
% 23.87/4.17 thf(zip_derived_cl7783, plain,
% 23.87/4.17 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl7705, zip_derived_cl6565])).
% 23.87/4.17 thf(zip_derived_cl7783, plain,
% 23.87/4.17 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl7705, zip_derived_cl6565])).
% 23.87/4.17 thf(zip_derived_cl7783, plain,
% 23.87/4.17 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl7705, zip_derived_cl6565])).
% 23.87/4.17 thf(zip_derived_cl7800, plain,
% 23.87/4.17 ((((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))
% 23.87/4.17 | ((multiply @ a4 @ b4) != (multiply @ a4 @ b4)))),
% 23.87/4.17 inference('demod', [status(thm)],
% 23.87/4.17 [zip_derived_cl7148, zip_derived_cl7783, zip_derived_cl7783,
% 23.87/4.17 zip_derived_cl7783])).
% 23.87/4.17 thf(zip_derived_cl7801, plain,
% 23.87/4.17 (((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))),
% 23.87/4.17 inference('simplify', [status(thm)], [zip_derived_cl7800])).
% 23.87/4.17 thf(zip_derived_cl8066, plain,
% 23.87/4.17 (![X0 : $i]:
% 23.87/4.17 ((multiply @ a1 @ (inverse @ a1)) != (multiply @ X0 @ (inverse @ X0)))),
% 23.87/4.17 inference('s_sup-', [status(thm)],
% 23.87/4.17 [zip_derived_cl7754, zip_derived_cl7801])).
% 23.87/4.17 thf(zip_derived_cl7754, plain,
% 23.87/4.17 (![X0 : $i, X1 : $i]:
% 23.87/4.17 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 23.87/4.17 inference('s_sup+', [status(thm)],
% 23.87/4.17 [zip_derived_cl6565, zip_derived_cl6527])).
% 23.87/4.17 thf(zip_derived_cl8153, plain, ($false),
% 23.87/4.17 inference('simplify_reflect+', [status(thm)],
% 23.87/4.17 [zip_derived_cl8066, zip_derived_cl7754])).
% 23.87/4.17
% 23.87/4.17 % SZS output end Refutation
% 23.87/4.17
% 23.87/4.17
% 23.87/4.17 % Terminating...
% 24.44/4.29 % Runner terminated.
% 24.44/4.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------