%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP611-1 : 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.slQg6LmKm1 true
% Computer : n013.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 7.18s 1.59s
% Output : Refutation 7.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP611-1 : TPTP v9.2.0. Released v2.6.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.slQg6LmKm1 true
% 0.10/0.30 % Computer : n013.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 14:25:38 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.45/0.56 % Total configuration time : 435
% 0.45/0.56 % Estimated wc time : 1092
% 0.45/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.18/1.59 % Solved by fo/fo1_av.sh.
% 7.18/1.59 % done 123 iterations in 0.897s
% 7.18/1.59 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.18/1.59 % SZS output start Refutation
% 7.18/1.59 thf(multiply_type, type, multiply: $i > $i > $i).
% 7.18/1.59 thf(b3_type, type, b3: $i).
% 7.18/1.59 thf(inverse_type, type, inverse: $i > $i).
% 7.18/1.59 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 7.18/1.59 thf(a3_type, type, a3: $i).
% 7.18/1.59 thf(c3_type, type, c3: $i).
% 7.18/1.59 thf(prove_these_axioms_3, conjecture,
% 7.18/1.59 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 7.18/1.59 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 7.18/1.59 thf(zf_stmt_0, negated_conjecture,
% 7.18/1.59 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 7.18/1.59 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 7.18/1.59 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 7.18/1.59 thf(zip_derived_cl2, plain,
% 7.18/1.59 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 7.18/1.59 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 7.18/1.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.18/1.59 thf(single_axiom, axiom,
% 7.18/1.59 (( inverse @
% 7.18/1.59 ( double_divide @
% 7.18/1.59 ( inverse @
% 7.18/1.59 ( double_divide @ ( inverse @ ( double_divide @ A @ B ) ) @ C ) ) @
% 7.18/1.59 ( double_divide @ A @ C ) ) ) =
% 7.18/1.59 ( B ))).
% 7.18/1.59 thf(zip_derived_cl0, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((inverse @
% 7.18/1.59 (double_divide @
% 7.18/1.59 (inverse @
% 7.18/1.59 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 7.18/1.59 (double_divide @ X1 @ X2)))
% 7.18/1.59 = (X0))),
% 7.18/1.59 inference('cnf', [status(esa)], [single_axiom])).
% 7.18/1.59 thf(multiply, axiom,
% 7.18/1.59 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 7.18/1.59 thf(zip_derived_cl1, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 7.18/1.59 inference('cnf', [status(esa)], [multiply])).
% 7.18/1.59 thf(zip_derived_cl1, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 7.18/1.59 inference('cnf', [status(esa)], [multiply])).
% 7.18/1.59 thf(zip_derived_cl1, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 7.18/1.59 inference('cnf', [status(esa)], [multiply])).
% 7.18/1.59 thf(zip_derived_cl3, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X1 @ X2) @
% 7.18/1.59 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 7.18/1.59 zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl3, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X1 @ X2) @
% 7.18/1.59 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 7.18/1.59 zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl5, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @
% 7.18/1.59 (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)) @
% 7.18/1.59 X0) = (X1))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl3, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X1 @ X2) @
% 7.18/1.59 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 7.18/1.59 zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl3, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X1 @ X2) @
% 7.18/1.59 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 7.18/1.59 zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl4, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @
% 7.18/1.59 (double_divide @ (multiply @ X1 @ (multiply @ X0 @ X2)) @ X3) @
% 7.18/1.59 (multiply @ X3 @ X0)) = (double_divide @ X2 @ X1))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl54, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((X0)
% 7.18/1.59 = (double_divide @ X2 @
% 7.18/1.59 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 7.18/1.59 thf(zip_derived_cl5, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @
% 7.18/1.59 (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)) @
% 7.18/1.59 X0) = (X1))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl3, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X1 @ X2) @
% 7.18/1.59 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 7.18/1.59 zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl8, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X2 @ X3) @ (multiply @ X3 @ X0))
% 7.18/1.59 = (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X1 @ X0)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl3, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X1 @ X2) @
% 7.18/1.59 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 7.18/1.59 zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl26, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((double_divide @ (multiply @ X0 @ X2) @
% 7.18/1.59 (double_divide @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl1, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 7.18/1.59 inference('cnf', [status(esa)], [multiply])).
% 7.18/1.59 thf(zip_derived_cl148, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X2 @ (multiply @ X0 @ X1)) @
% 7.18/1.59 (multiply @ X1 @ X2)) = (inverse @ X0))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl8, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X2 @ X3) @ (multiply @ X3 @ X0))
% 7.18/1.59 = (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X1 @ X0)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl1, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 7.18/1.59 inference('cnf', [status(esa)], [multiply])).
% 7.18/1.59 thf(zip_derived_cl15, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X3 @ X0) @ (multiply @ X2 @ X3))
% 7.18/1.59 = (inverse @
% 7.18/1.59 (multiply @ (double_divide @ X2 @ X1) @ (multiply @ X1 @ X0))))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl8, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X2 @ X3) @ (multiply @ X3 @ X0))
% 7.18/1.59 = (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X1 @ X0)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl1, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 7.18/1.59 inference('cnf', [status(esa)], [multiply])).
% 7.18/1.59 thf(zip_derived_cl42, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X3 @ X0) @ (multiply @ X2 @ X3))
% 7.18/1.59 = (multiply @ (double_divide @ X1 @ X0) @ (multiply @ X2 @ X1)))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl15, zip_derived_cl8, zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl8, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X2 @ X3) @ (multiply @ X3 @ X0))
% 7.18/1.59 = (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X1 @ X0)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl8, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X2 @ X3) @ (multiply @ X3 @ X0))
% 7.18/1.59 = (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X1 @ X0)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl19, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X2 @ X3) @ (multiply @ X3 @ X0))
% 7.18/1.59 = (multiply @ (double_divide @ X2 @ X1) @ (multiply @ X1 @ X0)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 7.18/1.59 thf(zip_derived_cl217, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X0))
% 7.18/1.59 = (multiply @ (double_divide @ X2 @ X3) @ (multiply @ X3 @ X2)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl19])).
% 7.18/1.59 thf(zip_derived_cl536, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.18/1.59 ((multiply @
% 7.18/1.59 (double_divide @ (multiply @ X4 @ X3) @
% 7.18/1.59 (double_divide @ X3 @ (multiply @ X0 @ X4))) @
% 7.18/1.59 (inverse @ X0))
% 7.18/1.59 = (multiply @ (double_divide @ X1 @ X2) @ (multiply @ X2 @ X1)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl217])).
% 7.18/1.59 thf(zip_derived_cl26, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((double_divide @ (multiply @ X0 @ X2) @
% 7.18/1.59 (double_divide @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl564, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ X0 @ (inverse @ X0))
% 7.18/1.59 = (multiply @ (double_divide @ X1 @ X2) @ (multiply @ X2 @ X1)))),
% 7.18/1.59 inference('demod', [status(thm)], [zip_derived_cl536, zip_derived_cl26])).
% 7.18/1.59 thf(zip_derived_cl8, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X2 @ X3) @ (multiply @ X3 @ X0))
% 7.18/1.59 = (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X1 @ X0)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl641, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ X0 @ (inverse @ X0))
% 7.18/1.59 = (double_divide @ (multiply @ X1 @ X2) @ (double_divide @ X2 @ X1)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl8])).
% 7.18/1.59 thf(zip_derived_cl1219, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ X3 @ (inverse @ X3))
% 7.18/1.59 = (double_divide @
% 7.18/1.59 (multiply @
% 7.18/1.59 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1) @
% 7.18/1.59 X2) @
% 7.18/1.59 X0))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl641])).
% 7.18/1.59 thf(zip_derived_cl54, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((X0)
% 7.18/1.59 = (double_divide @ X2 @
% 7.18/1.59 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 7.18/1.59 thf(zip_derived_cl1, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 7.18/1.59 inference('cnf', [status(esa)], [multiply])).
% 7.18/1.59 thf(zip_derived_cl174, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @
% 7.18/1.59 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1) @ X2)
% 7.18/1.59 = (inverse @ X0))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl1247, plain,
% 7.18/1.59 (![X0 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ X3 @ (inverse @ X3))
% 7.18/1.59 = (double_divide @ (inverse @ X0) @ X0))),
% 7.18/1.59 inference('demod', [status(thm)], [zip_derived_cl1219, zip_derived_cl174])).
% 7.18/1.59 thf(zip_derived_cl641, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ X0 @ (inverse @ X0))
% 7.18/1.59 = (double_divide @ (multiply @ X1 @ X2) @ (double_divide @ X2 @ X1)))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl8])).
% 7.18/1.59 thf(zip_derived_cl5, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @
% 7.18/1.59 (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)) @
% 7.18/1.59 X0) = (X1))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl1178, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) = (X1))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl641, zip_derived_cl5])).
% 7.18/1.59 thf(zip_derived_cl1247, plain,
% 7.18/1.59 (![X0 : $i, X3 : $i]:
% 7.18/1.59 ((multiply @ X3 @ (inverse @ X3))
% 7.18/1.59 = (double_divide @ (inverse @ X0) @ X0))),
% 7.18/1.59 inference('demod', [status(thm)], [zip_derived_cl1219, zip_derived_cl174])).
% 7.18/1.59 thf(zip_derived_cl1499, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl1178, zip_derived_cl1247])).
% 7.18/1.59 thf(zip_derived_cl3, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ X1 @ X2) @
% 7.18/1.59 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 7.18/1.59 zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl1540, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl1499, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl1858, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ X1 @ (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 7.18/1.59 inference('s_sup+', [status(thm)],
% 7.18/1.59 [zip_derived_cl1247, zip_derived_cl1540])).
% 7.18/1.59 thf(zip_derived_cl26, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((double_divide @ (multiply @ X0 @ X2) @
% 7.18/1.59 (double_divide @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 7.18/1.59 thf(zip_derived_cl1877, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((double_divide @
% 7.18/1.59 (multiply @ (double_divide @ (inverse @ X1) @ X1) @ X2) @
% 7.18/1.59 (double_divide @ X2 @ X0)) = (X0))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl1858, zip_derived_cl26])).
% 7.18/1.59 thf(zip_derived_cl1499, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ (double_divide @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl1178, zip_derived_cl1247])).
% 7.18/1.59 thf(zip_derived_cl1925, plain,
% 7.18/1.59 (![X0 : $i, X2 : $i]:
% 7.18/1.59 ((double_divide @ X2 @ (double_divide @ X2 @ X0)) = (X0))),
% 7.18/1.59 inference('demod', [status(thm)],
% 7.18/1.59 [zip_derived_cl1877, zip_derived_cl1499])).
% 7.18/1.59 thf(zip_derived_cl174, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @
% 7.18/1.59 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1) @ X2)
% 7.18/1.59 = (inverse @ X0))),
% 7.18/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl2364, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 7.18/1.59 = (inverse @ (double_divide @ (multiply @ X2 @ X1) @ X0)))),
% 7.18/1.59 inference('s_sup+', [status(thm)],
% 7.18/1.59 [zip_derived_cl1925, zip_derived_cl174])).
% 7.18/1.59 thf(zip_derived_cl1, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i]:
% 7.18/1.59 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 7.18/1.59 inference('cnf', [status(esa)], [multiply])).
% 7.18/1.59 thf(zip_derived_cl2383, plain,
% 7.18/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.18/1.59 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 7.18/1.59 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 7.18/1.59 inference('demod', [status(thm)], [zip_derived_cl2364, zip_derived_cl1])).
% 7.18/1.59 thf(zip_derived_cl2561, plain,
% 7.18/1.59 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 7.18/1.59 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 7.18/1.59 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl2383])).
% 7.18/1.59 thf(zip_derived_cl2562, plain, ($false),
% 7.18/1.59 inference('simplify', [status(thm)], [zip_derived_cl2561])).
% 7.18/1.59
% 7.18/1.59 % SZS output end Refutation
% 7.18/1.59
% 7.18/1.59
% 7.18/1.59 % Terminating...
% 7.77/1.69 % Runner terminated.
% 7.77/1.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------