%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP563-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.f0YdWQW0Jk true
% Computer : n014.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 04:36:41 PM UTC 2025
% Result : Unsatisfiable 9.68s 2.00s
% Output : Refutation 9.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP563-1 : TPTP v9.2.0. Released v2.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.f0YdWQW0Jk true
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:08:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.68/2.00 % Solved by fo/fo6_bce.sh.
% 9.68/2.00 % BCE start: 3
% 9.68/2.00 % BCE eliminated: 0
% 9.68/2.00 % PE start: 3
% 9.68/2.00 logic: eq
% 9.68/2.00 % PE eliminated: 0
% 9.68/2.00 % done 126 iterations in 1.211s
% 9.68/2.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.68/2.00 % SZS output start Refutation
% 9.68/2.00 thf(inverse_type, type, inverse: $i > $i).
% 9.68/2.00 thf(multiply_type, type, multiply: $i > $i > $i).
% 9.68/2.00 thf(b3_type, type, b3: $i).
% 9.68/2.00 thf(divide_type, type, divide: $i > $i > $i).
% 9.68/2.00 thf(a3_type, type, a3: $i).
% 9.68/2.00 thf(c3_type, type, c3: $i).
% 9.68/2.00 thf(prove_these_axioms_3, conjecture,
% 9.68/2.00 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 9.68/2.00 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 9.68/2.00 thf(zf_stmt_0, negated_conjecture,
% 9.68/2.00 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 9.68/2.00 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 9.68/2.00 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 9.68/2.00 thf(zip_derived_cl2, plain,
% 9.68/2.00 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 9.68/2.00 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 9.68/2.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.68/2.00 thf(single_axiom, axiom,
% 9.68/2.00 (( divide @
% 9.68/2.00 ( divide @ ( divide @ A @ ( inverse @ B ) ) @ C ) @ ( divide @ A @ C ) ) =
% 9.68/2.00 ( B ))).
% 9.68/2.00 thf(zip_derived_cl0, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 9.68/2.00 (divide @ X1 @ X2)) = (X0))),
% 9.68/2.00 inference('cnf', [status(esa)], [single_axiom])).
% 9.68/2.00 thf(multiply, axiom,
% 9.68/2.00 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 9.68/2.00 thf(zip_derived_cl1, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 9.68/2.00 inference('cnf', [status(esa)], [multiply])).
% 9.68/2.00 thf(zip_derived_cl3, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 9.68/2.00 = (X0))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl3, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 9.68/2.00 = (X0))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl4, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.68/2.00 ((divide @
% 9.68/2.00 (divide @ (multiply @ (divide @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 9.68/2.00 (divide @ X3 @ X2)) @
% 9.68/2.00 X0) = (X1))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 9.68/2.00 thf(zip_derived_cl1, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 9.68/2.00 inference('cnf', [status(esa)], [multiply])).
% 9.68/2.00 thf(zip_derived_cl12, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.68/2.00 ((multiply @
% 9.68/2.00 (divide @
% 9.68/2.00 (multiply @ (divide @ (multiply @ X3 @ (inverse @ X1)) @ X2) @ X0) @
% 9.68/2.00 (divide @ X3 @ X2)) @
% 9.68/2.00 X1) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl4, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.68/2.00 ((divide @
% 9.68/2.00 (divide @ (multiply @ (divide @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 9.68/2.00 (divide @ X3 @ X2)) @
% 9.68/2.00 X0) = (X1))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 9.68/2.00 thf(zip_derived_cl39, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.68/2.00 ((divide @
% 9.68/2.00 (divide @ X0 @
% 9.68/2.00 (divide @ (divide @ (multiply @ X3 @ (inverse @ X1)) @ X2) @
% 9.68/2.00 (divide @ X3 @ X2))) @
% 9.68/2.00 X0) = (X1))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 9.68/2.00 thf(zip_derived_cl3, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 9.68/2.00 = (X0))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl1, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 9.68/2.00 inference('cnf', [status(esa)], [multiply])).
% 9.68/2.00 thf(zip_derived_cl55, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X0) = (X1))),
% 9.68/2.00 inference('demod', [status(thm)],
% 9.68/2.00 [zip_derived_cl39, zip_derived_cl3, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl3, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 9.68/2.00 = (X0))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl72, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl3])).
% 9.68/2.00 thf(zip_derived_cl55, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X0) = (X1))),
% 9.68/2.00 inference('demod', [status(thm)],
% 9.68/2.00 [zip_derived_cl39, zip_derived_cl3, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl115, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X1) @ X0) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl55])).
% 9.68/2.00 thf(zip_derived_cl1, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 9.68/2.00 inference('cnf', [status(esa)], [multiply])).
% 9.68/2.00 thf(zip_derived_cl3, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 9.68/2.00 = (X0))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl5, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (divide @ (multiply @ X1 @ X2) @ (inverse @ X0)) @
% 9.68/2.00 (multiply @ X1 @ X0)) = (X2))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 9.68/2.00 thf(zip_derived_cl1, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 9.68/2.00 inference('cnf', [status(esa)], [multiply])).
% 9.68/2.00 thf(zip_derived_cl8, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @
% 9.68/2.00 (multiply @ X1 @ X0)) = (X2))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl175, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (multiply @ (multiply @ (divide @ X2 @ X2) @ X1) @ X0) @ X0)
% 9.68/2.00 = (X1))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl8])).
% 9.68/2.00 thf(zip_derived_cl115, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X1) @ X0) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl55])).
% 9.68/2.00 thf(zip_derived_cl191, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl115])).
% 9.68/2.00 thf(zip_derived_cl1, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 9.68/2.00 inference('cnf', [status(esa)], [multiply])).
% 9.68/2.00 thf(zip_derived_cl223, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl1, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 9.68/2.00 inference('cnf', [status(esa)], [multiply])).
% 9.68/2.00 thf(zip_derived_cl115, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X1) @ X0) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl55])).
% 9.68/2.00 thf(zip_derived_cl190, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl115])).
% 9.68/2.00 thf(zip_derived_cl315, plain,
% 9.68/2.00 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl190])).
% 9.68/2.00 thf(zip_derived_cl12, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.68/2.00 ((multiply @
% 9.68/2.00 (divide @
% 9.68/2.00 (multiply @ (divide @ (multiply @ X3 @ (inverse @ X1)) @ X2) @ X0) @
% 9.68/2.00 (divide @ X3 @ X2)) @
% 9.68/2.00 X1) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl12, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.68/2.00 ((multiply @
% 9.68/2.00 (divide @
% 9.68/2.00 (multiply @ (divide @ (multiply @ X3 @ (inverse @ X1)) @ X2) @ X0) @
% 9.68/2.00 (divide @ X3 @ X2)) @
% 9.68/2.00 X1) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl47, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.68/2.00 ((multiply @
% 9.68/2.00 (divide @ (inverse @ X0) @
% 9.68/2.00 (divide @ (divide @ (multiply @ X3 @ (inverse @ X1)) @ X2) @
% 9.68/2.00 (divide @ X3 @ X2))) @
% 9.68/2.00 X0) = (X1))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl12])).
% 9.68/2.00 thf(zip_derived_cl3, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 9.68/2.00 = (X0))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl1, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 9.68/2.00 inference('cnf', [status(esa)], [multiply])).
% 9.68/2.00 thf(zip_derived_cl53, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 9.68/2.00 inference('demod', [status(thm)],
% 9.68/2.00 [zip_derived_cl47, zip_derived_cl3, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl372, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl315, zip_derived_cl53])).
% 9.68/2.00 thf(zip_derived_cl223, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl443, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl223])).
% 9.68/2.00 thf(zip_derived_cl517, plain,
% 9.68/2.00 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 9.68/2.00 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl443])).
% 9.68/2.00 thf(zip_derived_cl8, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @
% 9.68/2.00 (multiply @ X1 @ X0)) = (X2))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl443, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl223])).
% 9.68/2.00 thf(zip_derived_cl223, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl537, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ (inverse @ X1) @ X0) @ X1) = (X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl443, zip_derived_cl223])).
% 9.68/2.00 thf(zip_derived_cl53, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 9.68/2.00 inference('demod', [status(thm)],
% 9.68/2.00 [zip_derived_cl47, zip_derived_cl3, zip_derived_cl1])).
% 9.68/2.00 thf(zip_derived_cl191, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl115])).
% 9.68/2.00 thf(zip_derived_cl240, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]:
% 9.68/2.00 ((divide @ X0 @ X1) = (multiply @ (inverse @ X1) @ X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl191])).
% 9.68/2.00 thf(zip_derived_cl443, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl223])).
% 9.68/2.00 thf(zip_derived_cl1148, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (divide @ X0 @ X1)) = (X0))),
% 9.68/2.00 inference('demod', [status(thm)],
% 9.68/2.00 [zip_derived_cl537, zip_derived_cl240, zip_derived_cl443])).
% 9.68/2.00 thf(zip_derived_cl1217, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 9.68/2.00 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1148])).
% 9.68/2.00 thf(zip_derived_cl443, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl223])).
% 9.68/2.00 thf(zip_derived_cl1223, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 9.68/2.00 = (multiply @ X1 @ (multiply @ X2 @ X0)))),
% 9.68/2.00 inference('s_sup+', [status(thm)],
% 9.68/2.00 [zip_derived_cl1217, zip_derived_cl443])).
% 9.68/2.00 thf(zip_derived_cl443, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl223])).
% 9.68/2.00 thf(zip_derived_cl1566, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 9.68/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 9.68/2.00 inference('s_sup+', [status(thm)],
% 9.68/2.00 [zip_derived_cl1223, zip_derived_cl443])).
% 9.68/2.00 thf(zip_derived_cl1927, plain,
% 9.68/2.00 (((multiply @ b3 @ (multiply @ a3 @ c3))
% 9.68/2.00 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 9.68/2.00 inference('demod', [status(thm)], [zip_derived_cl517, zip_derived_cl1566])).
% 9.68/2.00 thf(zip_derived_cl443, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl223])).
% 9.68/2.00 thf(zip_derived_cl1217, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 9.68/2.00 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1148])).
% 9.68/2.00 thf(zip_derived_cl1317, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 9.68/2.00 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 9.68/2.00 inference('s_sup+', [status(thm)],
% 9.68/2.00 [zip_derived_cl443, zip_derived_cl1217])).
% 9.68/2.00 thf(zip_derived_cl1223, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 9.68/2.00 = (multiply @ X1 @ (multiply @ X2 @ X0)))),
% 9.68/2.00 inference('s_sup+', [status(thm)],
% 9.68/2.00 [zip_derived_cl1217, zip_derived_cl443])).
% 9.68/2.00 thf(zip_derived_cl1845, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 9.68/2.00 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 9.68/2.00 inference('demod', [status(thm)],
% 9.68/2.00 [zip_derived_cl1317, zip_derived_cl1223])).
% 9.68/2.00 thf(zip_derived_cl443, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 9.68/2.00 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl223])).
% 9.68/2.00 thf(zip_derived_cl1851, plain,
% 9.68/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.68/2.00 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 9.68/2.00 = (multiply @ X1 @ (multiply @ X2 @ X0)))),
% 9.68/2.00 inference('s_sup+', [status(thm)],
% 9.68/2.00 [zip_derived_cl1845, zip_derived_cl443])).
% 9.68/2.00 thf(zip_derived_cl3139, plain,
% 9.68/2.00 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 9.68/2.00 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 9.68/2.00 inference('demod', [status(thm)],
% 9.68/2.00 [zip_derived_cl1927, zip_derived_cl1851])).
% 9.68/2.00 thf(zip_derived_cl3140, plain, ($false),
% 9.68/2.00 inference('simplify', [status(thm)], [zip_derived_cl3139])).
% 9.68/2.00
% 9.68/2.00 % SZS output end Refutation
% 9.68/2.00
% 9.68/2.00
% 9.68/2.00 % Terminating...
% 10.13/2.10 % Runner terminated.
% 10.13/2.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------