%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP065-1 : TPTP v9.2.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7WJMq52dDO true
% Computer : n008.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 04:35:33 PM UTC 2025
% Result : Unsatisfiable 5.28s 1.32s
% Output : Refutation 5.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP065-1 : TPTP v9.2.0. Bugfixed v2.3.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7WJMq52dDO true
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 14:19:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.70/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 5.28/1.32 % Solved by fo/fo4.sh.
% 5.28/1.32 % done 407 iterations in 0.582s
% 5.28/1.32 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.28/1.32 % SZS output start Refutation
% 5.28/1.32 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.28/1.32 thf(b2_type, type, b2: $i).
% 5.28/1.32 thf(a3_type, type, a3: $i).
% 5.28/1.32 thf(b1_type, type, b1: $i).
% 5.28/1.32 thf(a1_type, type, a1: $i).
% 5.28/1.32 thf(divide_type, type, divide: $i > $i > $i).
% 5.28/1.32 thf(inverse_type, type, inverse: $i > $i).
% 5.28/1.32 thf(c3_type, type, c3: $i).
% 5.28/1.32 thf(b3_type, type, b3: $i).
% 5.28/1.32 thf(a2_type, type, a2: $i).
% 5.28/1.32 thf(prove_these_axioms, conjecture,
% 5.28/1.32 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 5.28/1.32 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 5.28/1.32 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 5.28/1.32 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 5.28/1.32 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 5.28/1.32 thf(zf_stmt_0, negated_conjecture,
% 5.28/1.32 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 5.28/1.32 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 5.28/1.32 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 5.28/1.32 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 5.28/1.32 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 5.28/1.32 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 5.28/1.32 thf(zip_derived_cl3, plain,
% 5.28/1.32 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 5.28/1.32 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 5.28/1.32 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 5.28/1.32 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 5.28/1.32 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.28/1.32 thf(multiply, axiom,
% 5.28/1.32 (( multiply @ X @ Y ) =
% 5.28/1.32 ( divide @ X @ ( divide @ ( divide @ Z @ Z ) @ Y ) ))).
% 5.28/1.32 thf(zip_derived_cl1, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((multiply @ X0 @ X2)
% 5.28/1.32 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 5.28/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.28/1.32 thf(inverse, axiom, (( inverse @ X ) = ( divide @ ( divide @ Z @ Z ) @ X ))).
% 5.28/1.32 thf(zip_derived_cl2, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.28/1.32 inference('cnf', [status(esa)], [inverse])).
% 5.28/1.32 thf(zip_derived_cl6, plain,
% 5.28/1.32 (![X0 : $i, X2 : $i]:
% 5.28/1.32 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl6, plain,
% 5.28/1.32 (![X0 : $i, X2 : $i]:
% 5.28/1.32 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl6, plain,
% 5.28/1.32 (![X0 : $i, X2 : $i]:
% 5.28/1.32 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl6, plain,
% 5.28/1.32 (![X0 : $i, X2 : $i]:
% 5.28/1.32 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl6, plain,
% 5.28/1.32 (![X0 : $i, X2 : $i]:
% 5.28/1.32 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl6, plain,
% 5.28/1.32 (![X0 : $i, X2 : $i]:
% 5.28/1.32 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl2, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.28/1.32 inference('cnf', [status(esa)], [inverse])).
% 5.28/1.32 thf(zip_derived_cl6, plain,
% 5.28/1.32 (![X0 : $i, X2 : $i]:
% 5.28/1.32 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl6, plain,
% 5.28/1.32 (![X0 : $i, X2 : $i]:
% 5.28/1.32 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl7, plain,
% 5.28/1.32 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 5.28/1.32 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 5.28/1.32 | ((inverse @ (inverse @ a2)) != (a2))
% 5.28/1.32 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 5.28/1.32 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl3, zip_derived_cl6, zip_derived_cl6,
% 5.28/1.32 zip_derived_cl6, zip_derived_cl6, zip_derived_cl6,
% 5.28/1.32 zip_derived_cl6, zip_derived_cl2, zip_derived_cl6,
% 5.28/1.32 zip_derived_cl6])).
% 5.28/1.32 thf(zip_derived_cl2, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.28/1.32 inference('cnf', [status(esa)], [inverse])).
% 5.28/1.32 thf(zip_derived_cl2, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.28/1.32 inference('cnf', [status(esa)], [inverse])).
% 5.28/1.32 thf(zip_derived_cl2, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.28/1.32 inference('cnf', [status(esa)], [inverse])).
% 5.28/1.32 thf(zip_derived_cl4, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 5.28/1.32 thf(single_axiom, axiom,
% 5.28/1.32 (( divide @
% 5.28/1.32 ( divide @
% 5.28/1.32 ( divide @ X @ X ) @
% 5.28/1.32 ( divide @
% 5.28/1.32 X @
% 5.28/1.32 ( divide @ Y @ ( divide @ ( divide @ ( divide @ X @ X ) @ X ) @ Z ) ) ) ) @
% 5.28/1.32 Z ) =
% 5.28/1.32 ( Y ))).
% 5.28/1.32 thf(zip_derived_cl0, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @
% 5.28/1.32 (divide @ (divide @ X1 @ X1) @
% 5.28/1.32 (divide @ X1 @
% 5.28/1.32 (divide @ X0 @ (divide @ (divide @ (divide @ X1 @ X1) @ X1) @ X2)))) @
% 5.28/1.32 X2) = (X0))),
% 5.28/1.32 inference('cnf', [status(esa)], [single_axiom])).
% 5.28/1.32 thf(zip_derived_cl2, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.28/1.32 inference('cnf', [status(esa)], [inverse])).
% 5.28/1.32 thf(zip_derived_cl2, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.28/1.32 inference('cnf', [status(esa)], [inverse])).
% 5.28/1.32 thf(zip_derived_cl8, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @
% 5.28/1.32 (inverse @
% 5.28/1.32 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.28/1.32 X2) = (X0))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl19, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @
% 5.28/1.32 (inverse @
% 5.28/1.32 (divide @ (divide @ X2 @ X2) @ (divide @ X1 @ (inverse @ X0)))) @
% 5.28/1.32 X0) = (X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl8])).
% 5.28/1.32 thf(zip_derived_cl2, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.28/1.32 inference('cnf', [status(esa)], [inverse])).
% 5.28/1.32 thf(zip_derived_cl22, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (inverse @ (divide @ X1 @ (inverse @ X0)))) @ X0)
% 5.28/1.32 = (X1))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl84, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (inverse @ (inverse @ (inverse @ X0)))) @ X0)
% 5.28/1.32 = (divide @ X1 @ X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl22])).
% 5.28/1.32 thf(zip_derived_cl84, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (inverse @ (inverse @ (inverse @ X0)))) @ X0)
% 5.28/1.32 = (divide @ X1 @ X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl22])).
% 5.28/1.32 thf(zip_derived_cl110, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl84])).
% 5.28/1.32 thf(zip_derived_cl8, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @
% 5.28/1.32 (inverse @
% 5.28/1.32 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.28/1.32 X2) = (X0))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl8, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @
% 5.28/1.32 (inverse @
% 5.28/1.32 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.28/1.32 X2) = (X0))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl9, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (divide @ X2 @ X0)) @ X1)
% 5.28/1.32 = (inverse @
% 5.28/1.32 (divide @ X3 @
% 5.28/1.32 (divide @ X0 @
% 5.28/1.32 (divide @ (inverse @ X3) @ (divide @ (inverse @ X2) @ X1))))))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 5.28/1.32 thf(zip_derived_cl146, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.28/1.32 ((divide @
% 5.28/1.32 (inverse @
% 5.28/1.32 (divide @ X2 @
% 5.28/1.32 (divide @ (inverse @ X3) @ (divide @ (inverse @ X2) @ X1)))) @
% 5.28/1.32 X1) = (inverse @ (divide @ X3 @ (divide @ X0 @ X0))))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl9])).
% 5.28/1.32 thf(zip_derived_cl8, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @
% 5.28/1.32 (inverse @
% 5.28/1.32 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.28/1.32 X2) = (X0))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl174, plain,
% 5.28/1.32 (![X0 : $i, X3 : $i]:
% 5.28/1.32 ((inverse @ X3) = (inverse @ (divide @ X3 @ (divide @ X0 @ X0))))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl8])).
% 5.28/1.32 thf(zip_derived_cl110, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl84])).
% 5.28/1.32 thf(zip_derived_cl4, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl151, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ (inverse @ (divide @ X1 @ X1))) = (divide @ X0 @ X0))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl4])).
% 5.28/1.32 thf(zip_derived_cl22, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (inverse @ (divide @ X1 @ (inverse @ X0)))) @ X0)
% 5.28/1.32 = (X1))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl382, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @
% 5.28/1.32 (inverse @ (inverse @ (divide @ X1 @ (divide @ X0 @ X0)))) @
% 5.28/1.32 (inverse @ (divide @ X2 @ X2))) = (X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl22])).
% 5.28/1.32 thf(zip_derived_cl174, plain,
% 5.28/1.32 (![X0 : $i, X3 : $i]:
% 5.28/1.32 ((inverse @ X3) = (inverse @ (divide @ X3 @ (divide @ X0 @ X0))))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl8])).
% 5.28/1.32 thf(zip_derived_cl443, plain,
% 5.28/1.32 (![X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (inverse @ X1)) @ (inverse @ (divide @ X2 @ X2)))
% 5.28/1.32 = (X1))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl382, zip_derived_cl174])).
% 5.28/1.32 thf(zip_derived_cl685, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (inverse @ X0)) @ (inverse @ (divide @ X2 @ X2)))
% 5.28/1.32 = (divide @ X0 @ (divide @ X1 @ X1)))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl443])).
% 5.28/1.32 thf(zip_derived_cl443, plain,
% 5.28/1.32 (![X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (inverse @ X1)) @ (inverse @ (divide @ X2 @ X2)))
% 5.28/1.32 = (X1))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl382, zip_derived_cl174])).
% 5.28/1.32 thf(zip_derived_cl700, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]: ((X0) = (divide @ X0 @ (divide @ X1 @ X1)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl685, zip_derived_cl443])).
% 5.28/1.32 thf(zip_derived_cl443, plain,
% 5.28/1.32 (![X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (inverse @ X1)) @ (inverse @ (divide @ X2 @ X2)))
% 5.28/1.32 = (X1))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl382, zip_derived_cl174])).
% 5.28/1.32 thf(zip_derived_cl752, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (inverse @ X1)) @ (inverse @ (divide @ X0 @ X0)))
% 5.28/1.32 = (X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl700, zip_derived_cl443])).
% 5.28/1.32 thf(zip_derived_cl110, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl84])).
% 5.28/1.32 thf(zip_derived_cl2, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.28/1.32 inference('cnf', [status(esa)], [inverse])).
% 5.28/1.32 thf(zip_derived_cl148, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ (divide @ X1 @ X1)) = (divide @ X0 @ X0))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl700, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]: ((X0) = (divide @ X0 @ (divide @ X1 @ X1)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl685, zip_derived_cl443])).
% 5.28/1.32 thf(zip_derived_cl796, plain,
% 5.28/1.32 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl752, zip_derived_cl148, zip_derived_cl700])).
% 5.28/1.32 thf(zip_derived_cl804, plain,
% 5.28/1.32 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 5.28/1.32 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 5.28/1.32 | ((a2) != (a2))
% 5.28/1.32 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 5.28/1.32 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl796])).
% 5.28/1.32 thf(zip_derived_cl805, plain,
% 5.28/1.32 ((((divide @ (inverse @ a1) @ (inverse @ a1))
% 5.28/1.32 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 5.28/1.32 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 5.28/1.32 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3))))))),
% 5.28/1.32 inference('simplify', [status(thm)], [zip_derived_cl804])).
% 5.28/1.32 thf(zip_derived_cl110, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl84])).
% 5.28/1.32 thf(zip_derived_cl806, plain,
% 5.28/1.32 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 5.28/1.32 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))),
% 5.28/1.32 inference('simplify_reflect+', [status(thm)],
% 5.28/1.32 [zip_derived_cl805, zip_derived_cl110])).
% 5.28/1.32 thf(zip_derived_cl700, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]: ((X0) = (divide @ X0 @ (divide @ X1 @ X1)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl685, zip_derived_cl443])).
% 5.28/1.32 thf(zip_derived_cl8, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @
% 5.28/1.32 (inverse @
% 5.28/1.32 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 5.28/1.32 X2) = (X0))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl753, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (divide @ X1 @ X0)) @ (inverse @ X1)) = (X0))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl700, zip_derived_cl8])).
% 5.28/1.32 thf(zip_derived_cl22, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (inverse @ (divide @ X1 @ (inverse @ X0)))) @ X0)
% 5.28/1.32 = (X1))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl796, plain,
% 5.28/1.32 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl752, zip_derived_cl148, zip_derived_cl700])).
% 5.28/1.32 thf(zip_derived_cl809, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl796])).
% 5.28/1.32 thf(zip_derived_cl1642, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ X0 @ X1) = (inverse @ (divide @ X1 @ X0)))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl753, zip_derived_cl809])).
% 5.28/1.32 thf(zip_derived_cl1728, plain,
% 5.28/1.32 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 5.28/1.32 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl806, zip_derived_cl1642])).
% 5.28/1.32 thf(zip_derived_cl796, plain,
% 5.28/1.32 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl752, zip_derived_cl148, zip_derived_cl700])).
% 5.28/1.32 thf(zip_derived_cl2, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.28/1.32 inference('cnf', [status(esa)], [inverse])).
% 5.28/1.32 thf(zip_derived_cl9, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (divide @ X2 @ X0)) @ X1)
% 5.28/1.32 = (inverse @
% 5.28/1.32 (divide @ X3 @
% 5.28/1.32 (divide @ X0 @
% 5.28/1.32 (divide @ (inverse @ X3) @ (divide @ (inverse @ X2) @ X1))))))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 5.28/1.32 thf(zip_derived_cl49, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (divide @ X1 @ X3)) @ X0)
% 5.28/1.32 = (inverse @
% 5.28/1.32 (inverse @
% 5.28/1.32 (divide @ X3 @
% 5.28/1.32 (divide @ (inverse @ (divide @ X2 @ X2)) @
% 5.28/1.32 (divide @ (inverse @ X1) @ X0))))))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 5.28/1.32 thf(zip_derived_cl4, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 5.28/1.32 thf(zip_derived_cl68, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.28/1.32 ((divide @ (inverse @ (divide @ X1 @ X3)) @ X0)
% 5.28/1.32 = (inverse @
% 5.28/1.32 (inverse @
% 5.28/1.32 (divide @ X3 @ (inverse @ (divide @ (inverse @ X1) @ X0))))))),
% 5.28/1.32 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl4])).
% 5.28/1.32 thf(zip_derived_cl1642, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ X0 @ X1) = (inverse @ (divide @ X1 @ X0)))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl753, zip_derived_cl809])).
% 5.28/1.32 thf(zip_derived_cl1642, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ X0 @ X1) = (inverse @ (divide @ X1 @ X0)))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl753, zip_derived_cl809])).
% 5.28/1.32 thf(zip_derived_cl1642, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ X0 @ X1) = (inverse @ (divide @ X1 @ X0)))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl753, zip_derived_cl809])).
% 5.28/1.32 thf(zip_derived_cl1642, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i]:
% 5.28/1.32 ((divide @ X0 @ X1) = (inverse @ (divide @ X1 @ X0)))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl753, zip_derived_cl809])).
% 5.28/1.32 thf(zip_derived_cl1745, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.28/1.32 ((divide @ (divide @ X3 @ X1) @ X0)
% 5.28/1.32 = (divide @ X3 @ (divide @ X0 @ (inverse @ X1))))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl68, zip_derived_cl1642, zip_derived_cl1642,
% 5.28/1.32 zip_derived_cl1642, zip_derived_cl1642])).
% 5.28/1.32 thf(zip_derived_cl1767, plain,
% 5.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.28/1.32 ((divide @ (divide @ X2 @ (inverse @ X0)) @ X1)
% 5.28/1.32 = (divide @ X2 @ (divide @ X1 @ X0)))),
% 5.28/1.32 inference('sup+', [status(thm)], [zip_derived_cl796, zip_derived_cl1745])).
% 5.28/1.32 thf(zip_derived_cl2104, plain,
% 5.28/1.32 (((divide @ a3 @ (divide @ (inverse @ c3) @ b3))
% 5.28/1.32 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 5.28/1.32 inference('demod', [status(thm)],
% 5.28/1.32 [zip_derived_cl1728, zip_derived_cl1767])).
% 5.28/1.32 thf(zip_derived_cl2105, plain, ($false),
% 5.28/1.32 inference('simplify', [status(thm)], [zip_derived_cl2104])).
% 5.28/1.32
% 5.28/1.32 % SZS output end Refutation
% 5.28/1.32
% 5.28/1.32
% 5.28/1.32 % Terminating...
% 5.63/1.45 % Runner terminated.
% 5.63/1.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------