%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP070-1 : TPTP v9.2.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6YGnMMiTF4 true
% Computer : n021.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 04:35:34 PM UTC 2025
% Result : Unsatisfiable 39.17s 6.21s
% Output : Refutation 39.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP070-1 : TPTP v9.2.0. Bugfixed v2.3.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6YGnMMiTF4 true
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 14:03:53 EDT 2025
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % Running portfolio for 300 s
% 0.16/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.46/0.56 % Total configuration time : 435
% 0.46/0.56 % Estimated wc time : 1092
% 0.46/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 39.17/6.21 % Solved by fo/fo4.sh.
% 39.17/6.21 % done 1551 iterations in 5.497s
% 39.17/6.21 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 39.17/6.21 % SZS output start Refutation
% 39.17/6.21 thf(a3_type, type, a3: $i).
% 39.17/6.21 thf(a1_type, type, a1: $i).
% 39.17/6.21 thf(multiply_type, type, multiply: $i > $i > $i).
% 39.17/6.21 thf(c3_type, type, c3: $i).
% 39.17/6.21 thf(a2_type, type, a2: $i).
% 39.17/6.21 thf(b2_type, type, b2: $i).
% 39.17/6.21 thf(divide_type, type, divide: $i > $i > $i).
% 39.17/6.21 thf(b1_type, type, b1: $i).
% 39.17/6.21 thf(b3_type, type, b3: $i).
% 39.17/6.21 thf(inverse_type, type, inverse: $i > $i).
% 39.17/6.21 thf(single_axiom, axiom,
% 39.17/6.21 (( divide @
% 39.17/6.21 ( divide @ X @ X ) @
% 39.17/6.21 ( divide @
% 39.17/6.21 Y @ ( divide @ ( divide @ Z @ ( divide @ U @ Y ) ) @ ( inverse @ U ) ) ) ) =
% 39.17/6.21 ( Z ))).
% 39.17/6.21 thf(zip_derived_cl0, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X1 @ X1) @
% 39.17/6.21 (divide @ X2 @
% 39.17/6.21 (divide @ (divide @ X0 @ (divide @ X3 @ X2)) @ (inverse @ X3))))
% 39.17/6.21 = (X0))),
% 39.17/6.21 inference('cnf', [status(esa)], [single_axiom])).
% 39.17/6.21 thf(multiply, axiom,
% 39.17/6.21 (( multiply @ X @ Y ) = ( divide @ X @ ( inverse @ Y ) ))).
% 39.17/6.21 thf(zip_derived_cl1, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 39.17/6.21 inference('cnf', [status(esa)], [multiply])).
% 39.17/6.21 thf(zip_derived_cl3, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X1 @ X1) @
% 39.17/6.21 (divide @ X2 @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3)))
% 39.17/6.21 = (X0))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl3, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X1 @ X1) @
% 39.17/6.21 (divide @ X2 @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3)))
% 39.17/6.21 = (X0))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl5, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.17/6.21 ((divide @ (divide @ X4 @ X4) @
% 39.17/6.21 (divide @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3) @
% 39.17/6.21 (multiply @ X0 @ X2)))
% 39.17/6.21 = (divide @ X1 @ X1))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl5, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.17/6.21 ((divide @ (divide @ X4 @ X4) @
% 39.17/6.21 (divide @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3) @
% 39.17/6.21 (multiply @ X0 @ X2)))
% 39.17/6.21 = (divide @ X1 @ X1))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl47, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl5])).
% 39.17/6.21 thf(zip_derived_cl1, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 39.17/6.21 inference('cnf', [status(esa)], [multiply])).
% 39.17/6.21 thf(zip_derived_cl91, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (divide @ X0 @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl91, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (divide @ X0 @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl177, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl91])).
% 39.17/6.21 thf(prove_these_axioms, conjecture,
% 39.17/6.21 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 39.17/6.21 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 39.17/6.21 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 39.17/6.21 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 39.17/6.21 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 39.17/6.21 thf(zf_stmt_0, negated_conjecture,
% 39.17/6.21 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 39.17/6.21 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 39.17/6.21 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 39.17/6.21 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 39.17/6.21 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 39.17/6.21 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 39.17/6.21 thf(zip_derived_cl2, plain,
% 39.17/6.21 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 39.17/6.21 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 39.17/6.21 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 39.17/6.21 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 39.17/6.21 inference('cnf', [status(esa)], [zf_stmt_0])).
% 39.17/6.21 thf(zip_derived_cl218, plain,
% 39.17/6.21 (![X0 : $i]:
% 39.17/6.21 (((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))
% 39.17/6.21 | ((multiply @ (inverse @ a1) @ a1)
% 39.17/6.21 != (multiply @ (inverse @ b1) @ b1))
% 39.17/6.21 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 39.17/6.21 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 39.17/6.21 inference('sup-', [status(thm)], [zip_derived_cl177, zip_derived_cl2])).
% 39.17/6.21 thf(zip_derived_cl91, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (divide @ X0 @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl237, plain,
% 39.17/6.21 (![X0 : $i]:
% 39.17/6.21 (((multiply @ (divide @ X0 @ X0) @ a2) != (a2))
% 39.17/6.21 | ((multiply @ (inverse @ a1) @ a1)
% 39.17/6.21 != (multiply @ (inverse @ b1) @ b1))
% 39.17/6.21 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 39.17/6.21 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl218, zip_derived_cl91])).
% 39.17/6.21 thf(zip_derived_cl177, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl91])).
% 39.17/6.21 thf(zip_derived_cl238, plain,
% 39.17/6.21 (![X0 : $i]:
% 39.17/6.21 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 39.17/6.21 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 39.17/6.21 | ((multiply @ (divide @ X0 @ X0) @ a2) != (a2)))),
% 39.17/6.21 inference('simplify_reflect+', [status(thm)],
% 39.17/6.21 [zip_derived_cl237, zip_derived_cl177])).
% 39.17/6.21 thf(zip_derived_cl91, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (divide @ X0 @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl5, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.17/6.21 ((divide @ (divide @ X4 @ X4) @
% 39.17/6.21 (divide @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3) @
% 39.17/6.21 (multiply @ X0 @ X2)))
% 39.17/6.21 = (divide @ X1 @ X1))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl3, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X1 @ X1) @
% 39.17/6.21 (divide @ X2 @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3)))
% 39.17/6.21 = (X0))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl35, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 39.17/6.21 ((divide @ (divide @ X6 @ X6) @
% 39.17/6.21 (divide @ X4 @
% 39.17/6.21 (multiply @
% 39.17/6.21 (divide @ (divide @ X3 @ X3) @
% 39.17/6.21 (divide @ (multiply @ (divide @ X1 @ (divide @ X2 @ X0)) @ X2) @
% 39.17/6.21 (multiply @ X1 @ X0))) @
% 39.17/6.21 X5)))
% 39.17/6.21 = (divide @ X5 @ X4))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl5, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.17/6.21 ((divide @ (divide @ X4 @ X4) @
% 39.17/6.21 (divide @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3) @
% 39.17/6.21 (multiply @ X0 @ X2)))
% 39.17/6.21 = (divide @ X1 @ X1))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl74, plain,
% 39.17/6.21 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 39.17/6.21 ((divide @ (divide @ X6 @ X6) @
% 39.17/6.21 (divide @ X4 @ (multiply @ (divide @ X1 @ X1) @ X5)))
% 39.17/6.21 = (divide @ X5 @ X4))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl5])).
% 39.17/6.21 thf(zip_derived_cl293, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X0) @ X0)
% 39.17/6.21 = (divide @ X1 @ (multiply @ (divide @ X2 @ X2) @ X1)))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl74])).
% 39.17/6.21 thf(zip_derived_cl3, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X1 @ X1) @
% 39.17/6.21 (divide @ X2 @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3)))
% 39.17/6.21 = (X0))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl3, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X1 @ X1) @
% 39.17/6.21 (divide @ X2 @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3)))
% 39.17/6.21 = (X0))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl4, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 39.17/6.21 ((divide @ (divide @ X5 @ X5) @
% 39.17/6.21 (divide @
% 39.17/6.21 (divide @ X4 @ (multiply @ (divide @ X0 @ (divide @ X3 @ X4)) @ X3)) @
% 39.17/6.21 (multiply @ (divide @ X1 @ X0) @ (divide @ X2 @ X2))))
% 39.17/6.21 = (X1))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl492, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 39.17/6.21 ((divide @ (divide @ X6 @ X6) @
% 39.17/6.21 (divide @
% 39.17/6.21 (divide @ X5 @
% 39.17/6.21 (multiply @
% 39.17/6.21 (divide @ (multiply @ (divide @ X3 @ X3) @ X1) @
% 39.17/6.21 (divide @ X4 @ X5)) @
% 39.17/6.21 X4)) @
% 39.17/6.21 (multiply @ (multiply @ (inverse @ X0) @ X0) @ (divide @ X2 @ X2))))
% 39.17/6.21 = (X1))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl293, zip_derived_cl4])).
% 39.17/6.21 thf(zip_derived_cl91, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (divide @ X0 @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl74, plain,
% 39.17/6.21 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 39.17/6.21 ((divide @ (divide @ X6 @ X6) @
% 39.17/6.21 (divide @ X4 @ (multiply @ (divide @ X1 @ X1) @ X5)))
% 39.17/6.21 = (divide @ X5 @ X4))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl5])).
% 39.17/6.21 thf(zip_derived_cl3, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X1 @ X1) @
% 39.17/6.21 (divide @ X2 @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3)))
% 39.17/6.21 = (X0))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl536, plain,
% 39.17/6.21 (![X1 : $i, X3 : $i]: ((multiply @ (divide @ X3 @ X3) @ X1) = (X1))),
% 39.17/6.21 inference('demod', [status(thm)],
% 39.17/6.21 [zip_derived_cl492, zip_derived_cl91, zip_derived_cl74,
% 39.17/6.21 zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl556, plain,
% 39.17/6.21 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 39.17/6.21 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 39.17/6.21 | ((a2) != (a2)))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl238, zip_derived_cl536])).
% 39.17/6.21 thf(zip_derived_cl557, plain,
% 39.17/6.21 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 39.17/6.21 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 39.17/6.21 inference('simplify', [status(thm)], [zip_derived_cl556])).
% 39.17/6.21 thf(zip_derived_cl177, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl91])).
% 39.17/6.21 thf(zip_derived_cl177, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl91])).
% 39.17/6.21 thf(zip_derived_cl74, plain,
% 39.17/6.21 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 39.17/6.21 ((divide @ (divide @ X6 @ X6) @
% 39.17/6.21 (divide @ X4 @ (multiply @ (divide @ X1 @ X1) @ X5)))
% 39.17/6.21 = (divide @ X5 @ X4))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl5])).
% 39.17/6.21 thf(zip_derived_cl536, plain,
% 39.17/6.21 (![X1 : $i, X3 : $i]: ((multiply @ (divide @ X3 @ X3) @ X1) = (X1))),
% 39.17/6.21 inference('demod', [status(thm)],
% 39.17/6.21 [zip_derived_cl492, zip_derived_cl91, zip_derived_cl74,
% 39.17/6.21 zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl554, plain,
% 39.17/6.21 (![X4 : $i, X5 : $i, X6 : $i]:
% 39.17/6.21 ((divide @ (divide @ X6 @ X6) @ (divide @ X4 @ X5))
% 39.17/6.21 = (divide @ X5 @ X4))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl536])).
% 39.17/6.21 thf(zip_derived_cl1, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 39.17/6.21 inference('cnf', [status(esa)], [multiply])).
% 39.17/6.21 thf(zip_derived_cl3, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X1 @ X1) @
% 39.17/6.21 (divide @ X2 @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3)))
% 39.17/6.21 = (X0))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl7, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X3 @ X3) @
% 39.17/6.21 (divide @ (inverse @ X0) @
% 39.17/6.21 (multiply @ (divide @ X2 @ (multiply @ X1 @ X0)) @ X1)))
% 39.17/6.21 = (X2))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl750, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.17/6.21 ((divide @ (multiply @ (divide @ X2 @ (multiply @ X1 @ X0)) @ X1) @
% 39.17/6.21 (inverse @ X0)) = (X2))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl554, zip_derived_cl7])).
% 39.17/6.21 thf(zip_derived_cl1, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 39.17/6.21 inference('cnf', [status(esa)], [multiply])).
% 39.17/6.21 thf(zip_derived_cl925, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.17/6.21 ((multiply @ (multiply @ (divide @ X0 @ (multiply @ X2 @ X1)) @ X2) @
% 39.17/6.21 X1) = (X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl750, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl1372, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.17/6.21 ((multiply @
% 39.17/6.21 (multiply @ (divide @ X1 @ (multiply @ (inverse @ X0) @ X0)) @
% 39.17/6.21 (inverse @ X2)) @
% 39.17/6.21 X2) = (X1))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl925])).
% 39.17/6.21 thf(zip_derived_cl91, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (divide @ X0 @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl3, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X1 @ X1) @
% 39.17/6.21 (divide @ X2 @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3)))
% 39.17/6.21 = (X0))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl554, plain,
% 39.17/6.21 (![X4 : $i, X5 : $i, X6 : $i]:
% 39.17/6.21 ((divide @ (divide @ X6 @ X6) @ (divide @ X4 @ X5))
% 39.17/6.21 = (divide @ X5 @ X4))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl536])).
% 39.17/6.21 thf(zip_derived_cl554, plain,
% 39.17/6.21 (![X4 : $i, X5 : $i, X6 : $i]:
% 39.17/6.21 ((divide @ (divide @ X6 @ X6) @ (divide @ X4 @ X5))
% 39.17/6.21 = (divide @ X5 @ X4))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl536])).
% 39.17/6.21 thf(zip_derived_cl765, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X3 @ X3) @ (divide @ X1 @ X0))
% 39.17/6.21 = (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X2)))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl554, zip_derived_cl554])).
% 39.17/6.21 thf(zip_derived_cl554, plain,
% 39.17/6.21 (![X4 : $i, X5 : $i, X6 : $i]:
% 39.17/6.21 ((divide @ (divide @ X6 @ X6) @ (divide @ X4 @ X5))
% 39.17/6.21 = (divide @ X5 @ X4))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl536])).
% 39.17/6.21 thf(zip_derived_cl780, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.17/6.21 ((divide @ X0 @ X1)
% 39.17/6.21 = (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X2)))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl765, zip_derived_cl554])).
% 39.17/6.21 thf(zip_derived_cl998, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.17/6.21 ((divide @ (divide @ X4 @ X4) @
% 39.17/6.21 (divide @ X3 @ (multiply @ (divide @ X0 @ (divide @ X2 @ X3)) @ X2)))
% 39.17/6.21 = (divide @ X0 @ (divide @ X1 @ X1)))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl780])).
% 39.17/6.21 thf(zip_derived_cl3, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.17/6.21 ((divide @ (divide @ X1 @ X1) @
% 39.17/6.21 (divide @ X2 @ (multiply @ (divide @ X0 @ (divide @ X3 @ X2)) @ X3)))
% 39.17/6.21 = (X0))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl1021, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]: ((X0) = (divide @ X0 @ (divide @ X1 @ X1)))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl998, zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl1383, plain,
% 39.17/6.21 (![X1 : $i, X2 : $i]:
% 39.17/6.21 ((multiply @ (multiply @ X1 @ (inverse @ X2)) @ X2) = (X1))),
% 39.17/6.21 inference('demod', [status(thm)],
% 39.17/6.21 [zip_derived_cl1372, zip_derived_cl91, zip_derived_cl1021])).
% 39.17/6.21 thf(zip_derived_cl1398, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 39.17/6.21 = (inverse @ (inverse @ X1)))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl1383])).
% 39.17/6.21 thf(zip_derived_cl91, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (inverse @ X1) @ X1) = (divide @ X0 @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl536, plain,
% 39.17/6.21 (![X1 : $i, X3 : $i]: ((multiply @ (divide @ X3 @ X3) @ X1) = (X1))),
% 39.17/6.21 inference('demod', [status(thm)],
% 39.17/6.21 [zip_derived_cl492, zip_derived_cl91, zip_derived_cl74,
% 39.17/6.21 zip_derived_cl3])).
% 39.17/6.21 thf(zip_derived_cl1404, plain,
% 39.17/6.21 (![X1 : $i]: ((X1) = (inverse @ (inverse @ X1)))),
% 39.17/6.21 inference('demod', [status(thm)],
% 39.17/6.21 [zip_derived_cl1398, zip_derived_cl91, zip_derived_cl536])).
% 39.17/6.21 thf(zip_derived_cl1383, plain,
% 39.17/6.21 (![X1 : $i, X2 : $i]:
% 39.17/6.21 ((multiply @ (multiply @ X1 @ (inverse @ X2)) @ X2) = (X1))),
% 39.17/6.21 inference('demod', [status(thm)],
% 39.17/6.21 [zip_derived_cl1372, zip_derived_cl91, zip_derived_cl1021])).
% 39.17/6.21 thf(zip_derived_cl1425, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1383])).
% 39.17/6.21 thf(zip_derived_cl1404, plain,
% 39.17/6.21 (![X1 : $i]: ((X1) = (inverse @ (inverse @ X1)))),
% 39.17/6.21 inference('demod', [status(thm)],
% 39.17/6.21 [zip_derived_cl1398, zip_derived_cl91, zip_derived_cl536])).
% 39.17/6.21 thf(zip_derived_cl1, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 39.17/6.21 inference('cnf', [status(esa)], [multiply])).
% 39.17/6.21 thf(zip_derived_cl1410, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]:
% 39.17/6.21 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl1491, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X0 @ X1) @ X1))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl1425, zip_derived_cl1410])).
% 39.17/6.21 thf(zip_derived_cl925, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.17/6.21 ((multiply @ (multiply @ (divide @ X0 @ (multiply @ X2 @ X1)) @ X2) @
% 39.17/6.21 X1) = (X0))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl750, zip_derived_cl1])).
% 39.17/6.21 thf(zip_derived_cl1573, plain,
% 39.17/6.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.17/6.21 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 39.17/6.21 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 39.17/6.21 inference('sup+', [status(thm)], [zip_derived_cl1491, zip_derived_cl925])).
% 39.17/6.21 thf(zip_derived_cl11099, plain,
% 39.17/6.21 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 39.17/6.21 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 39.17/6.21 inference('demod', [status(thm)], [zip_derived_cl557, zip_derived_cl1573])).
% 39.17/6.21 thf(zip_derived_cl11100, plain, ($false),
% 39.17/6.21 inference('simplify', [status(thm)], [zip_derived_cl11099])).
% 39.17/6.21
% 39.17/6.21 % SZS output end Refutation
% 39.17/6.21
% 39.17/6.21
% 39.17/6.21 % Terminating...
% 39.85/6.31 % Runner terminated.
% 39.85/6.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------