%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP088-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nTjQ1fqb7W true
% Computer : n020.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 04:35:36 PM UTC 2025
% Result : Unsatisfiable 0.48s 0.96s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP088-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nTjQ1fqb7W true
% 0.11/0.31 % Computer : n020.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 14:20:38 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.45/0.60 % Total configuration time : 435
% 0.45/0.60 % Estimated wc time : 1092
% 0.45/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.96 % Solved by fo/fo4.sh.
% 0.48/0.96 % done 284 iterations in 0.240s
% 0.48/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.96 % SZS output start Refutation
% 0.48/0.96 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.48/0.96 thf(b2_type, type, b2: $i).
% 0.48/0.96 thf(a3_type, type, a3: $i).
% 0.48/0.96 thf(b1_type, type, b1: $i).
% 0.48/0.96 thf(a1_type, type, a1: $i).
% 0.48/0.96 thf(divide_type, type, divide: $i > $i > $i).
% 0.48/0.96 thf(inverse_type, type, inverse: $i > $i).
% 0.48/0.96 thf(c3_type, type, c3: $i).
% 0.48/0.96 thf(b3_type, type, b3: $i).
% 0.48/0.96 thf(b4_type, type, b4: $i).
% 0.48/0.96 thf(a2_type, type, a2: $i).
% 0.48/0.96 thf(a4_type, type, a4: $i).
% 0.48/0.96 thf(prove_these_axioms, conjecture,
% 0.48/0.96 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 0.48/0.96 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.48/0.96 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 0.48/0.96 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 0.48/0.96 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.48/0.96 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 0.48/0.96 thf(zf_stmt_0, negated_conjecture,
% 0.48/0.96 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 0.48/0.96 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.48/0.96 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 0.48/0.96 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 0.48/0.96 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.48/0.96 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 0.48/0.96 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 0.48/0.96 thf(zip_derived_cl3, plain,
% 0.48/0.96 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 0.48/0.96 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.48/0.96 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.48/0.96 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 0.48/0.96 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 0.48/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.96 thf(multiply, axiom,
% 0.48/0.96 (( multiply @ X @ Y ) =
% 0.48/0.96 ( divide @ X @ ( divide @ ( divide @ Z @ Z ) @ Y ) ))).
% 0.48/0.96 thf(zip_derived_cl1, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2)
% 0.48/0.96 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 0.48/0.96 inference('cnf', [status(esa)], [multiply])).
% 0.48/0.96 thf(inverse, axiom, (( inverse @ X ) = ( divide @ ( divide @ Z @ Z ) @ X ))).
% 0.48/0.96 thf(zip_derived_cl2, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.48/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.48/0.96 thf(zip_derived_cl6, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl6, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl6, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl6, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl6, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl6, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl6, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl6, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl2, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.48/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.48/0.96 thf(zip_derived_cl6, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl6, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl7, plain,
% 0.48/0.96 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 0.48/0.96 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 0.48/0.96 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 0.48/0.96 | ((inverse @ (inverse @ a2)) != (a2))
% 0.48/0.96 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 0.48/0.96 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 0.48/0.96 inference('demod', [status(thm)],
% 0.48/0.96 [zip_derived_cl3, zip_derived_cl6, zip_derived_cl6,
% 0.48/0.96 zip_derived_cl6, zip_derived_cl6, zip_derived_cl6,
% 0.48/0.96 zip_derived_cl6, zip_derived_cl6, zip_derived_cl6,
% 0.48/0.96 zip_derived_cl2, zip_derived_cl6, zip_derived_cl6])).
% 0.48/0.96 thf(zip_derived_cl2, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.48/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.48/0.96 thf(zip_derived_cl2, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.48/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.48/0.96 thf(single_axiom, axiom,
% 0.48/0.96 (( divide @ X @ ( divide @ Y @ ( divide @ Z @ ( divide @ X @ Y ) ) ) ) =
% 0.48/0.96 ( Z ))).
% 0.48/0.96 thf(zip_derived_cl0, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.96 ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.48/0.96 = (X0))),
% 0.48/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.96 thf(zip_derived_cl10, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.96 ((inverse @
% 0.48/0.96 (divide @ X0 @ (divide @ X2 @ (divide @ (divide @ X1 @ X1) @ X0))))
% 0.48/0.96 = (X2))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.48/0.96 thf(zip_derived_cl2, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.48/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.48/0.96 thf(zip_derived_cl16, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((inverse @ (divide @ X0 @ (divide @ X2 @ (inverse @ X0)))) = (X2))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl29, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ (divide @ X0 @ (inverse @ (inverse @ X0))))
% 0.48/0.96 = (divide @ X1 @ X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl16])).
% 0.48/0.96 thf(zip_derived_cl29, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ (divide @ X0 @ (inverse @ (inverse @ X0))))
% 0.48/0.96 = (divide @ X1 @ X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl16])).
% 0.48/0.96 thf(zip_derived_cl42, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl29])).
% 0.48/0.96 thf(zip_derived_cl2, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.48/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.48/0.96 thf(zip_derived_cl57, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ (divide @ X1 @ X1)) = (divide @ X0 @ X0))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl2, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.48/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.48/0.96 thf(zip_derived_cl0, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.96 ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.48/0.96 = (X0))),
% 0.48/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.96 thf(zip_derived_cl0, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.96 ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.48/0.96 = (X0))),
% 0.48/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.96 thf(zip_derived_cl9, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.96 ((divide @ X2 @ (divide @ (divide @ X0 @ (divide @ X1 @ X2)) @ X0))
% 0.48/0.96 = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.48/0.96 thf(zip_derived_cl164, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 0.48/0.96 thf(zip_derived_cl195, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl164])).
% 0.48/0.96 thf(zip_derived_cl0, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.96 ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.48/0.96 = (X0))),
% 0.48/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.96 thf(zip_derived_cl224, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl0])).
% 0.48/0.96 thf(zip_derived_cl16, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((inverse @ (divide @ X0 @ (divide @ X2 @ (inverse @ X0)))) = (X2))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl261, plain,
% 0.48/0.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl16])).
% 0.48/0.96 thf(zip_derived_cl281, plain,
% 0.48/0.96 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 0.48/0.96 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 0.48/0.96 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 0.48/0.96 | ((a2) != (a2))
% 0.48/0.96 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 0.48/0.96 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl261])).
% 0.48/0.96 thf(zip_derived_cl282, plain,
% 0.48/0.96 ((((divide @ (inverse @ a1) @ (inverse @ a1))
% 0.48/0.96 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 0.48/0.96 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 0.48/0.96 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 0.48/0.96 | ((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4))))),
% 0.48/0.96 inference('simplify', [status(thm)], [zip_derived_cl281])).
% 0.48/0.96 thf(zip_derived_cl42, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl29])).
% 0.48/0.96 thf(zip_derived_cl283, plain,
% 0.48/0.96 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 0.48/0.96 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 0.48/0.96 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3))))))),
% 0.48/0.96 inference('simplify_reflect+', [status(thm)],
% 0.48/0.96 [zip_derived_cl282, zip_derived_cl42])).
% 0.48/0.96 thf(zip_derived_cl164, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 0.48/0.96 thf(zip_derived_cl224, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl0])).
% 0.48/0.96 thf(zip_derived_cl274, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl224])).
% 0.48/0.96 thf(zip_derived_cl344, plain,
% 0.48/0.96 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 0.48/0.96 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 0.48/0.96 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3))))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl274])).
% 0.48/0.96 thf(zip_derived_cl164, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 0.48/0.96 thf(zip_derived_cl16, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((inverse @ (divide @ X0 @ (divide @ X2 @ (inverse @ X0)))) = (X2))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl192, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ (divide @ (divide @ X0 @ X1) @ X0)) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl16])).
% 0.48/0.96 thf(zip_derived_cl261, plain,
% 0.48/0.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl16])).
% 0.48/0.96 thf(zip_derived_cl292, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ X0) = (divide @ (divide @ X1 @ X0) @ X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl192, zip_derived_cl261])).
% 0.48/0.96 thf(zip_derived_cl16, plain,
% 0.48/0.96 (![X0 : $i, X2 : $i]:
% 0.48/0.96 ((inverse @ (divide @ X0 @ (divide @ X2 @ (inverse @ X0)))) = (X2))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.48/0.96 thf(zip_derived_cl164, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 0.48/0.96 thf(zip_derived_cl196, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl164])).
% 0.48/0.96 thf(zip_derived_cl224, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl0])).
% 0.48/0.96 thf(zip_derived_cl317, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl224])).
% 0.48/0.96 thf(zip_derived_cl438, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ (inverse @ X0) @ X1) = (divide @ (inverse @ X1) @ X0))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl317])).
% 0.48/0.96 thf(zip_derived_cl497, plain,
% 0.48/0.96 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 0.48/0.96 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 0.48/0.96 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3))))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl344, zip_derived_cl438])).
% 0.48/0.96 thf(zip_derived_cl196, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl164])).
% 0.48/0.96 thf(zip_derived_cl292, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((inverse @ X0) = (divide @ (divide @ X1 @ X0) @ X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl192, zip_derived_cl261])).
% 0.48/0.96 thf(zip_derived_cl224, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl0])).
% 0.48/0.96 thf(zip_derived_cl394, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl224])).
% 0.48/0.96 thf(zip_derived_cl483, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl394])).
% 0.48/0.96 thf(zip_derived_cl483, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl394])).
% 0.48/0.96 thf(zip_derived_cl483, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl394])).
% 0.48/0.96 thf(zip_derived_cl274, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl224])).
% 0.48/0.96 thf(zip_derived_cl438, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ (inverse @ X0) @ X1) = (divide @ (inverse @ X1) @ X0))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl317])).
% 0.48/0.96 thf(zip_derived_cl546, plain,
% 0.48/0.96 ((((divide @ b4 @ (inverse @ a4)) != (divide @ b4 @ (inverse @ a4)))
% 0.48/0.96 | ((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 0.48/0.96 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3))))),
% 0.48/0.96 inference('demod', [status(thm)],
% 0.48/0.96 [zip_derived_cl497, zip_derived_cl483, zip_derived_cl483,
% 0.48/0.96 zip_derived_cl483, zip_derived_cl274, zip_derived_cl438])).
% 0.48/0.96 thf(zip_derived_cl547, plain,
% 0.48/0.96 (((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 0.48/0.96 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3)))),
% 0.48/0.96 inference('simplify', [status(thm)], [zip_derived_cl546])).
% 0.48/0.96 thf(zip_derived_cl317, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl224])).
% 0.48/0.96 thf(zip_derived_cl0, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.96 ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.48/0.96 = (X0))),
% 0.48/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.96 thf(zip_derived_cl426, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.96 ((divide @ X2 @ (divide @ X1 @ X0))
% 0.48/0.96 = (divide @ X0 @ (inverse @ (divide @ X2 @ X1))))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl317, zip_derived_cl0])).
% 0.48/0.96 thf(zip_derived_cl274, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i]:
% 0.48/0.96 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 0.48/0.96 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl224])).
% 0.48/0.96 thf(zip_derived_cl450, plain,
% 0.48/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.96 ((divide @ X2 @ (divide @ X1 @ X0))
% 0.48/0.96 = (divide @ X0 @ (divide @ X1 @ X2)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl426, zip_derived_cl274])).
% 0.48/0.96 thf(zip_derived_cl1200, plain,
% 0.48/0.96 (((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 0.48/0.96 != (divide @ c3 @ (divide @ (inverse @ b3) @ a3)))),
% 0.48/0.96 inference('demod', [status(thm)], [zip_derived_cl547, zip_derived_cl450])).
% 0.48/0.96 thf(zip_derived_cl1201, plain, ($false),
% 0.48/0.96 inference('simplify', [status(thm)], [zip_derived_cl1200])).
% 0.48/0.96
% 0.48/0.96 % SZS output end Refutation
% 0.48/0.96
% 0.48/0.96
% 0.48/0.96 % Terminating...
% 1.63/1.05 % Runner terminated.
% 1.63/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------