%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP097-1 : 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.rjlJPki5Kd true
% Computer : n029.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 04:35:37 PM UTC 2025
% Result : Unsatisfiable 4.63s 1.56s
% Output : Refutation 4.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP097-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rjlJPki5Kd true
% 0.14/0.35 % Computer : n029.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 14:16:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.63/1.56 % Solved by fo/fo4.sh.
% 4.63/1.56 % done 310 iterations in 0.561s
% 4.63/1.56 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.63/1.56 % SZS output start Refutation
% 4.63/1.56 thf(b3_type, type, b3: $i).
% 4.63/1.56 thf(inverse_type, type, inverse: $i > $i).
% 4.63/1.56 thf(multiply_type, type, multiply: $i > $i > $i).
% 4.63/1.56 thf(b1_type, type, b1: $i).
% 4.63/1.56 thf(a4_type, type, a4: $i).
% 4.63/1.56 thf(a3_type, type, a3: $i).
% 4.63/1.56 thf(a2_type, type, a2: $i).
% 4.63/1.56 thf(divide_type, type, divide: $i > $i > $i).
% 4.63/1.56 thf(a1_type, type, a1: $i).
% 4.63/1.56 thf(b2_type, type, b2: $i).
% 4.63/1.56 thf(b4_type, type, b4: $i).
% 4.63/1.56 thf(c3_type, type, c3: $i).
% 4.63/1.56 thf(prove_these_axioms, conjecture,
% 4.63/1.56 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 4.63/1.56 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 4.63/1.56 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 4.63/1.56 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 4.63/1.56 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 4.63/1.56 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 4.63/1.56 thf(zf_stmt_0, negated_conjecture,
% 4.63/1.56 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 4.63/1.56 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 4.63/1.56 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 4.63/1.56 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 4.63/1.56 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 4.63/1.56 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 4.63/1.56 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 4.63/1.56 thf(zip_derived_cl2, plain,
% 4.63/1.56 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 4.63/1.56 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 4.63/1.56 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 4.63/1.56 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 4.63/1.56 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.63/1.56 thf(multiply, axiom,
% 4.63/1.56 (( multiply @ X @ Y ) = ( divide @ X @ ( inverse @ Y ) ))).
% 4.63/1.56 thf(zip_derived_cl1, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [multiply])).
% 4.63/1.56 thf(zip_derived_cl1, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [multiply])).
% 4.63/1.56 thf(zip_derived_cl1, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [multiply])).
% 4.63/1.56 thf(zip_derived_cl1, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [multiply])).
% 4.63/1.56 thf(zip_derived_cl1, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [multiply])).
% 4.63/1.56 thf(zip_derived_cl1, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [multiply])).
% 4.63/1.56 thf(zip_derived_cl1, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [multiply])).
% 4.63/1.56 thf(zip_derived_cl1, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [multiply])).
% 4.63/1.56 thf(zip_derived_cl1, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [multiply])).
% 4.63/1.56 thf(zip_derived_cl1, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 4.63/1.56 inference('cnf', [status(esa)], [multiply])).
% 4.63/1.56 thf(zip_derived_cl3, plain,
% 4.63/1.56 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 4.63/1.56 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 4.63/1.56 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 4.63/1.56 | ((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @
% 4.63/1.56 (inverse @ a2)) != (a2))
% 4.63/1.56 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 4.63/1.56 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 4.63/1.56 inference('demod', [status(thm)],
% 4.63/1.56 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 4.63/1.56 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 4.63/1.56 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 4.63/1.56 zip_derived_cl1, zip_derived_cl1])).
% 4.63/1.56 thf(single_axiom, axiom,
% 4.63/1.56 (( divide @
% 4.63/1.56 X @ ( inverse @ ( divide @ ( divide @ Y @ Z ) @ ( divide @ X @ Z ) ) ) ) =
% 4.63/1.56 ( Y ))).
% 4.63/1.56 thf(zip_derived_cl0, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.56 ((divide @ X1 @
% 4.63/1.56 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 4.63/1.56 = (X0))),
% 4.63/1.56 inference('cnf', [status(esa)], [single_axiom])).
% 4.63/1.56 thf(zip_derived_cl0, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.56 ((divide @ X1 @
% 4.63/1.56 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 4.63/1.56 = (X0))),
% 4.63/1.56 inference('cnf', [status(esa)], [single_axiom])).
% 4.63/1.56 thf(zip_derived_cl0, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.56 ((divide @ X1 @
% 4.63/1.56 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 4.63/1.56 = (X0))),
% 4.63/1.56 inference('cnf', [status(esa)], [single_axiom])).
% 4.63/1.56 thf(zip_derived_cl4, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.56 ((divide @ X3 @
% 4.63/1.56 (inverse @
% 4.63/1.56 (divide @ X0 @
% 4.63/1.56 (divide @ X3 @
% 4.63/1.56 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2)))))))
% 4.63/1.56 = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 4.63/1.56 thf(zip_derived_cl12, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl4, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.56 ((divide @ X3 @
% 4.63/1.56 (inverse @
% 4.63/1.56 (divide @ X0 @
% 4.63/1.56 (divide @ X3 @
% 4.63/1.56 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2)))))))
% 4.63/1.56 = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 4.63/1.56 thf(zip_derived_cl22, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl22, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl32, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (inverse @ (divide @ X0 @ X1)) @ (inverse @ X0)) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl22])).
% 4.63/1.56 thf(zip_derived_cl12, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl90, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((X0) = (inverse @ (divide @ (divide @ X1 @ X1) @ X0)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl12])).
% 4.63/1.56 thf(zip_derived_cl12, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl100, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl12])).
% 4.63/1.56 thf(zip_derived_cl22, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl127, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl22])).
% 4.63/1.56 thf(zip_derived_cl239, plain,
% 4.63/1.56 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 4.63/1.56 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 4.63/1.56 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 4.63/1.56 | ((a2) != (a2))
% 4.63/1.56 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 4.63/1.56 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 4.63/1.56 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl127])).
% 4.63/1.56 thf(zip_derived_cl240, plain,
% 4.63/1.56 ((((divide @ (inverse @ a1) @ (inverse @ a1))
% 4.63/1.56 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 4.63/1.56 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 4.63/1.56 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 4.63/1.56 | ((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4))))),
% 4.63/1.56 inference('simplify', [status(thm)], [zip_derived_cl239])).
% 4.63/1.56 thf(zip_derived_cl90, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((X0) = (inverse @ (divide @ (divide @ X1 @ X1) @ X0)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl12])).
% 4.63/1.56 thf(zip_derived_cl22, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl102, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl22])).
% 4.63/1.56 thf(zip_derived_cl241, plain,
% 4.63/1.56 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 4.63/1.56 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 4.63/1.56 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3))))))),
% 4.63/1.56 inference('simplify_reflect+', [status(thm)],
% 4.63/1.56 [zip_derived_cl240, zip_derived_cl102])).
% 4.63/1.56 thf(zip_derived_cl22, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl90, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((X0) = (inverse @ (divide @ (divide @ X1 @ X1) @ X0)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl12])).
% 4.63/1.56 thf(zip_derived_cl0, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.56 ((divide @ X1 @
% 4.63/1.56 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 4.63/1.56 = (X0))),
% 4.63/1.56 inference('cnf', [status(esa)], [single_axiom])).
% 4.63/1.56 thf(zip_derived_cl106, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 4.63/1.56 thf(zip_derived_cl237, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl106])).
% 4.63/1.56 thf(zip_derived_cl333, plain,
% 4.63/1.56 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 4.63/1.56 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 4.63/1.56 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3))))),
% 4.63/1.56 inference('demod', [status(thm)], [zip_derived_cl241, zip_derived_cl237])).
% 4.63/1.56 thf(zip_derived_cl106, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 4.63/1.56 thf(zip_derived_cl237, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl106])).
% 4.63/1.56 thf(zip_derived_cl340, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl237])).
% 4.63/1.56 thf(zip_derived_cl127, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl22])).
% 4.63/1.56 thf(zip_derived_cl12, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl4, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.56 ((divide @ X3 @
% 4.63/1.56 (inverse @
% 4.63/1.56 (divide @ X0 @
% 4.63/1.56 (divide @ X3 @
% 4.63/1.56 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2)))))))
% 4.63/1.56 = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 4.63/1.56 thf(zip_derived_cl18, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.56 ((divide @ X3 @
% 4.63/1.56 (inverse @
% 4.63/1.56 (divide @ X0 @
% 4.63/1.56 (divide @ X3 @
% 4.63/1.56 (inverse @
% 4.63/1.56 (divide @ X0 @ (divide @ X1 @ (inverse @ (divide @ X2 @ X2)))))))))
% 4.63/1.56 = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl12, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl25, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X3 : $i]:
% 4.63/1.56 ((divide @ X3 @
% 4.63/1.56 (inverse @
% 4.63/1.56 (divide @ X0 @ (divide @ X3 @ (inverse @ (divide @ X0 @ X1))))))
% 4.63/1.56 = (X1))),
% 4.63/1.56 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl12])).
% 4.63/1.56 thf(zip_derived_cl237, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl106])).
% 4.63/1.56 thf(zip_derived_cl237, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl106])).
% 4.63/1.56 thf(zip_derived_cl344, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X3 : $i]:
% 4.63/1.56 ((divide @ X3 @ (divide @ (divide @ X3 @ (divide @ X1 @ X0)) @ X0))
% 4.63/1.56 = (X1))),
% 4.63/1.56 inference('demod', [status(thm)],
% 4.63/1.56 [zip_derived_cl25, zip_derived_cl237, zip_derived_cl237])).
% 4.63/1.56 thf(zip_derived_cl351, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl344])).
% 4.63/1.56 thf(zip_derived_cl474, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (inverse @ X0) @ X1) = (divide @ (inverse @ X1) @ X0))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl340, zip_derived_cl351])).
% 4.63/1.56 thf(zip_derived_cl517, plain,
% 4.63/1.56 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 4.63/1.56 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 4.63/1.56 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3))))),
% 4.63/1.56 inference('demod', [status(thm)], [zip_derived_cl333, zip_derived_cl474])).
% 4.63/1.56 thf(zip_derived_cl351, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl344])).
% 4.63/1.56 thf(zip_derived_cl106, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 4.63/1.56 thf(zip_derived_cl461, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl106])).
% 4.63/1.56 thf(zip_derived_cl32, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (inverse @ (divide @ X0 @ X1)) @ (inverse @ X0)) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl22])).
% 4.63/1.56 thf(zip_derived_cl237, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl106])).
% 4.63/1.56 thf(zip_derived_cl332, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 4.63/1.56 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl237])).
% 4.63/1.56 thf(zip_derived_cl490, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl332])).
% 4.63/1.56 thf(zip_derived_cl490, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl332])).
% 4.63/1.56 thf(zip_derived_cl490, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl332])).
% 4.63/1.56 thf(zip_derived_cl237, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl106])).
% 4.63/1.56 thf(zip_derived_cl474, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (inverse @ X0) @ X1) = (divide @ (inverse @ X1) @ X0))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl340, zip_derived_cl351])).
% 4.63/1.56 thf(zip_derived_cl626, plain,
% 4.63/1.56 ((((divide @ b4 @ (inverse @ a4)) != (divide @ b4 @ (inverse @ a4)))
% 4.63/1.56 | ((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 4.63/1.56 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3))))),
% 4.63/1.56 inference('demod', [status(thm)],
% 4.63/1.56 [zip_derived_cl517, zip_derived_cl490, zip_derived_cl490,
% 4.63/1.56 zip_derived_cl490, zip_derived_cl237, zip_derived_cl474])).
% 4.63/1.56 thf(zip_derived_cl627, plain,
% 4.63/1.56 (((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 4.63/1.56 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3)))),
% 4.63/1.56 inference('simplify', [status(thm)], [zip_derived_cl626])).
% 4.63/1.56 thf(zip_derived_cl351, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl344])).
% 4.63/1.56 thf(zip_derived_cl12, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl0, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.56 ((divide @ X1 @
% 4.63/1.56 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 4.63/1.56 = (X0))),
% 4.63/1.56 inference('cnf', [status(esa)], [single_axiom])).
% 4.63/1.56 thf(zip_derived_cl0, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.56 ((divide @ X1 @
% 4.63/1.56 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 4.63/1.56 = (X0))),
% 4.63/1.56 inference('cnf', [status(esa)], [single_axiom])).
% 4.63/1.56 thf(zip_derived_cl5, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.56 ((divide @ X3 @
% 4.63/1.56 (inverse @
% 4.63/1.56 (divide @
% 4.63/1.56 (divide @ X1 @
% 4.63/1.56 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X3 @ X2)))) @
% 4.63/1.56 X0)))
% 4.63/1.56 = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 4.63/1.56 thf(zip_derived_cl67, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.56 ((divide @ X0 @
% 4.63/1.56 (inverse @
% 4.63/1.56 (divide @
% 4.63/1.56 (divide @ X1 @
% 4.63/1.56 (inverse @
% 4.63/1.56 (divide @ (divide @ X2 @ (inverse @ (divide @ X3 @ X3))) @ X0))) @
% 4.63/1.56 X2)))
% 4.63/1.56 = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl5])).
% 4.63/1.56 thf(zip_derived_cl12, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 4.63/1.56 thf(zip_derived_cl76, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.56 ((divide @ X0 @
% 4.63/1.56 (inverse @
% 4.63/1.56 (divide @ (divide @ X1 @ (inverse @ (divide @ X2 @ X0))) @ X2)))
% 4.63/1.56 = (X1))),
% 4.63/1.56 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl12])).
% 4.63/1.56 thf(zip_derived_cl237, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl106])).
% 4.63/1.56 thf(zip_derived_cl237, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl106])).
% 4.63/1.56 thf(zip_derived_cl730, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.56 ((divide @ X0 @ (divide @ X2 @ (divide @ X1 @ (divide @ X0 @ X2))))
% 4.63/1.56 = (X1))),
% 4.63/1.56 inference('demod', [status(thm)],
% 4.63/1.56 [zip_derived_cl76, zip_derived_cl237, zip_derived_cl237])).
% 4.63/1.56 thf(zip_derived_cl754, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.56 ((divide @ X2 @ (divide @ X1 @ X0))
% 4.63/1.56 = (divide @ X0 @ (inverse @ (divide @ X2 @ X1))))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl730])).
% 4.63/1.56 thf(zip_derived_cl237, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i]:
% 4.63/1.56 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 4.63/1.56 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl106])).
% 4.63/1.56 thf(zip_derived_cl782, plain,
% 4.63/1.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.56 ((divide @ X2 @ (divide @ X1 @ X0))
% 4.63/1.56 = (divide @ X0 @ (divide @ X1 @ X2)))),
% 4.63/1.56 inference('demod', [status(thm)], [zip_derived_cl754, zip_derived_cl237])).
% 4.63/1.56 thf(zip_derived_cl1352, plain,
% 4.63/1.56 (((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 4.63/1.56 != (divide @ c3 @ (divide @ (inverse @ b3) @ a3)))),
% 4.63/1.56 inference('demod', [status(thm)], [zip_derived_cl627, zip_derived_cl782])).
% 4.63/1.56 thf(zip_derived_cl1353, plain, ($false),
% 4.63/1.56 inference('simplify', [status(thm)], [zip_derived_cl1352])).
% 4.63/1.56
% 4.63/1.56 % SZS output end Refutation
% 4.63/1.56
% 4.63/1.56
% 4.63/1.56 % Terminating...
% 5.03/1.74 % Runner terminated.
% 5.03/1.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------