%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP547-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jIsuj5P7rK 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 04:36:39 PM UTC 2025
% Result : Unsatisfiable 5.48s 1.89s
% Output : Refutation 5.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP547-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jIsuj5P7rK true
% 0.07/0.31 % Computer : n008.cluster.edu
% 0.07/0.31 % Model : x86_64 x86_64
% 0.07/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.31 % Memory : 8042.1875MB
% 0.07/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.31 % CPULimit : 300
% 0.07/0.31 % WCLimit : 300
% 0.07/0.31 % DateTime : Wed Oct 1 14:20:08 EDT 2025
% 0.13/0.31 % CPUTime :
% 0.13/0.31 % Running portfolio for 300 s
% 0.13/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.31 % Number of cores: 8
% 0.13/0.32 % Python version: Python 3.6.8
% 0.13/0.32 % Running in FO mode
% 0.13/0.54 % Total configuration time : 435
% 0.13/0.54 % Estimated wc time : 1092
% 0.13/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.73/0.63 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.73/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.73/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.87/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.87/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.87/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.87/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 5.48/1.89 % Solved by fo/fo5.sh.
% 5.48/1.89 % done 935 iterations in 0.979s
% 5.48/1.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.48/1.89 % SZS output start Refutation
% 5.48/1.89 thf(c3_type, type, c3: $i).
% 5.48/1.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.48/1.89 thf(b3_type, type, b3: $i).
% 5.48/1.89 thf(a3_type, type, a3: $i).
% 5.48/1.89 thf(identity_type, type, identity: $i).
% 5.48/1.89 thf(divide_type, type, divide: $i > $i > $i).
% 5.48/1.89 thf(inverse_type, type, inverse: $i > $i).
% 5.48/1.89 thf(prove_these_axioms_3, conjecture,
% 5.48/1.89 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 5.48/1.89 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 5.48/1.89 thf(zf_stmt_0, negated_conjecture,
% 5.48/1.89 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 5.48/1.89 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 5.48/1.89 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 5.48/1.89 thf(zip_derived_cl4, plain,
% 5.48/1.89 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 5.48/1.89 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.48/1.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.48/1.89 thf(identity, axiom, (( identity ) = ( divide @ A @ A ))).
% 5.48/1.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [identity])).
% 5.48/1.89 thf(inverse, axiom, (( inverse @ A ) = ( divide @ identity @ A ))).
% 5.48/1.89 thf(zip_derived_cl2, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [inverse])).
% 5.48/1.89 thf(zip_derived_cl8, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [identity])).
% 5.48/1.89 thf(single_axiom, axiom,
% 5.48/1.89 (( divide @
% 5.48/1.89 ( divide @ identity @ ( divide @ A @ B ) ) @
% 5.48/1.89 ( divide @ ( divide @ B @ C ) @ A ) ) =
% 5.48/1.89 ( C ))).
% 5.48/1.89 thf(zip_derived_cl0, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.89 ((divide @ (divide @ identity @ (divide @ X1 @ X2)) @
% 5.48/1.89 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [single_axiom])).
% 5.48/1.89 thf(zip_derived_cl2, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [inverse])).
% 5.48/1.89 thf(zip_derived_cl12, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.89 ((divide @ (inverse @ (divide @ X1 @ X2)) @
% 5.48/1.89 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl15, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((divide @ (inverse @ (divide @ (divide @ X1 @ X0) @ X1)) @ identity)
% 5.48/1.89 = (X0))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 5.48/1.89 thf(zip_derived_cl199, plain,
% 5.48/1.89 (![X0 : $i]: ((divide @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl15])).
% 5.48/1.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [identity])).
% 5.48/1.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [identity])).
% 5.48/1.89 thf(zip_derived_cl12, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.89 ((divide @ (inverse @ (divide @ X1 @ X2)) @
% 5.48/1.89 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl17, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((divide @ (inverse @ (divide @ X1 @ X0)) @ (divide @ identity @ X1))
% 5.48/1.89 = (X0))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 5.48/1.89 thf(zip_derived_cl2, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [inverse])).
% 5.48/1.89 thf(multiply, axiom,
% 5.48/1.89 (( multiply @ A @ B ) = ( divide @ A @ ( divide @ identity @ B ) ))).
% 5.48/1.89 thf(zip_derived_cl1, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.48/1.89 inference('cnf', [status(esa)], [multiply])).
% 5.48/1.89 thf(zip_derived_cl2, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [inverse])).
% 5.48/1.89 thf(zip_derived_cl9, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl25, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((multiply @ (inverse @ (divide @ X1 @ X0)) @ X1) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)],
% 5.48/1.89 [zip_derived_cl17, zip_derived_cl2, zip_derived_cl9])).
% 5.48/1.89 thf(zip_derived_cl303, plain,
% 5.48/1.89 (![X0 : $i]: ((multiply @ (inverse @ identity) @ X0) = (X0))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl25])).
% 5.48/1.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [identity])).
% 5.48/1.89 thf(zip_derived_cl2, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [inverse])).
% 5.48/1.89 thf(zip_derived_cl7, plain, (((inverse @ identity) = (identity))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl9, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl2, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [inverse])).
% 5.48/1.89 thf(zip_derived_cl11, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (multiply @ identity @ X0))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl316, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)],
% 5.48/1.89 [zip_derived_cl303, zip_derived_cl7, zip_derived_cl11])).
% 5.48/1.89 thf(zip_derived_cl7, plain, (((inverse @ identity) = (identity))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl9, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl30, plain,
% 5.48/1.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 5.48/1.89 thf(zip_derived_cl325, plain,
% 5.48/1.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)],
% 5.48/1.89 [zip_derived_cl199, zip_derived_cl316, zip_derived_cl30])).
% 5.48/1.89 thf(zip_derived_cl9, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl12, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.89 ((divide @ (inverse @ (divide @ X1 @ X2)) @
% 5.48/1.89 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl16, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.89 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X2)) @
% 5.48/1.89 (multiply @ (divide @ X2 @ X1) @ X0)) = (X1))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl12])).
% 5.48/1.89 thf(zip_derived_cl336, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((divide @ (inverse @ (divide @ (inverse @ identity) @ X1)) @
% 5.48/1.89 (divide @ X1 @ X0)) = (X0))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl325, zip_derived_cl16])).
% 5.48/1.89 thf(zip_derived_cl7, plain, (((inverse @ identity) = (identity))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl2, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [inverse])).
% 5.48/1.89 thf(zip_derived_cl316, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)],
% 5.48/1.89 [zip_derived_cl303, zip_derived_cl7, zip_derived_cl11])).
% 5.48/1.89 thf(zip_derived_cl342, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)],
% 5.48/1.89 [zip_derived_cl336, zip_derived_cl7, zip_derived_cl2,
% 5.48/1.89 zip_derived_cl316])).
% 5.48/1.89 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [identity])).
% 5.48/1.89 thf(zip_derived_cl12, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.89 ((divide @ (inverse @ (divide @ X1 @ X2)) @
% 5.48/1.89 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl21, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((divide @ (inverse @ identity) @ (divide @ (divide @ X1 @ X0) @ X1))
% 5.48/1.89 = (X0))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 5.48/1.89 thf(zip_derived_cl7, plain, (((inverse @ identity) = (identity))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl2, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 5.48/1.89 inference('cnf', [status(esa)], [inverse])).
% 5.48/1.89 thf(zip_derived_cl526, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((inverse @ (divide @ (divide @ X1 @ X0) @ X1)) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)],
% 5.48/1.89 [zip_derived_cl21, zip_derived_cl7, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl25, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((multiply @ (inverse @ (divide @ X1 @ X0)) @ X1) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)],
% 5.48/1.89 [zip_derived_cl17, zip_derived_cl2, zip_derived_cl9])).
% 5.48/1.89 thf(zip_derived_cl538, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ (divide @ X1 @ X0)) = (X1))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl526, zip_derived_cl25])).
% 5.48/1.89 thf(zip_derived_cl615, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X0) @ X0) = (X1))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl342, zip_derived_cl538])).
% 5.48/1.89 thf(zip_derived_cl316, plain,
% 5.48/1.89 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.48/1.89 inference('demod', [status(thm)],
% 5.48/1.89 [zip_derived_cl303, zip_derived_cl7, zip_derived_cl11])).
% 5.48/1.89 thf(zip_derived_cl9, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl330, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl9])).
% 5.48/1.89 thf(zip_derived_cl718, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((X0) = (divide @ (divide @ X0 @ (inverse @ X1)) @ X1))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl615, zip_derived_cl330])).
% 5.48/1.89 thf(zip_derived_cl9, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]:
% 5.48/1.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.89 thf(zip_derived_cl737, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X0 @ X1) @ X1))),
% 5.48/1.89 inference('demod', [status(thm)], [zip_derived_cl718, zip_derived_cl9])).
% 5.48/1.89 thf(zip_derived_cl538, plain,
% 5.48/1.89 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ (divide @ X1 @ X0)) = (X1))),
% 5.48/1.89 inference('sup+', [status(thm)], [zip_derived_cl526, zip_derived_cl25])).
% 5.48/1.89 thf(zip_derived_cl769, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl538])).
% 5.48/1.90 thf(zip_derived_cl769, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl538])).
% 5.48/1.90 thf(zip_derived_cl786, plain,
% 5.48/1.90 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 5.48/1.90 != (multiply @ a3 @ (multiply @ c3 @ b3)))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl4, zip_derived_cl769, zip_derived_cl769])).
% 5.48/1.90 thf(zip_derived_cl15, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((divide @ (inverse @ (divide @ (divide @ X1 @ X0) @ X1)) @ identity)
% 5.48/1.90 = (X0))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 5.48/1.90 thf(zip_derived_cl16, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X2)) @
% 5.48/1.90 (multiply @ (divide @ X2 @ X1) @ X0)) = (X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl12])).
% 5.48/1.90 thf(zip_derived_cl260, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((divide @
% 5.48/1.90 (inverse @
% 5.48/1.90 (divide @ (inverse @ X1) @
% 5.48/1.90 (inverse @ (divide @ (divide @ X2 @ X0) @ X2)))) @
% 5.48/1.90 (multiply @ X0 @ X1)) = (identity))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl16])).
% 5.48/1.90 thf(zip_derived_cl9, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.90 thf(zip_derived_cl284, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((divide @
% 5.48/1.90 (inverse @
% 5.48/1.90 (multiply @ (inverse @ X1) @ (divide @ (divide @ X2 @ X0) @ X2))) @
% 5.48/1.90 (multiply @ X0 @ X1)) = (identity))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl9])).
% 5.48/1.90 thf(zip_derived_cl15, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((divide @ (inverse @ (divide @ (divide @ X1 @ X0) @ X1)) @ identity)
% 5.48/1.90 = (X0))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 5.48/1.90 thf(zip_derived_cl2, plain,
% 5.48/1.90 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 5.48/1.90 inference('cnf', [status(esa)], [inverse])).
% 5.48/1.90 thf(zip_derived_cl12, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((divide @ (inverse @ (divide @ X1 @ X2)) @
% 5.48/1.90 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 5.48/1.90 thf(zip_derived_cl19, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((divide @ (inverse @ (divide @ X1 @ identity)) @
% 5.48/1.90 (divide @ (inverse @ X0) @ X1)) = (X0))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 5.48/1.90 thf(zip_derived_cl30, plain,
% 5.48/1.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 5.48/1.90 thf(zip_derived_cl325, plain,
% 5.48/1.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl199, zip_derived_cl316, zip_derived_cl30])).
% 5.48/1.90 thf(zip_derived_cl335, plain,
% 5.48/1.90 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl325])).
% 5.48/1.90 thf(zip_derived_cl442, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((divide @ (inverse @ X1) @ (divide @ (inverse @ X0) @ X1)) = (X0))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl335])).
% 5.48/1.90 thf(zip_derived_cl461, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((divide @ (inverse @ identity) @ X0)
% 5.48/1.90 = (divide @ (divide @ X1 @ X0) @ X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl442])).
% 5.48/1.90 thf(zip_derived_cl7, plain, (((inverse @ identity) = (identity))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 5.48/1.90 thf(zip_derived_cl2, plain,
% 5.48/1.90 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 5.48/1.90 inference('cnf', [status(esa)], [inverse])).
% 5.48/1.90 thf(zip_derived_cl478, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((inverse @ X0) = (divide @ (divide @ X1 @ X0) @ X1))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl461, zip_derived_cl7, zip_derived_cl2])).
% 5.48/1.90 thf(zip_derived_cl342, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl336, zip_derived_cl7, zip_derived_cl2,
% 5.48/1.90 zip_derived_cl316])).
% 5.48/1.90 thf(zip_derived_cl25, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((multiply @ (inverse @ (divide @ X1 @ X0)) @ X1) = (X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl17, zip_derived_cl2, zip_derived_cl9])).
% 5.48/1.90 thf(zip_derived_cl612, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((multiply @ (inverse @ X0) @ X1) = (divide @ X1 @ X0))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl342, zip_derived_cl25])).
% 5.48/1.90 thf(zip_derived_cl9, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.90 thf(zip_derived_cl342, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl336, zip_derived_cl7, zip_derived_cl2,
% 5.48/1.90 zip_derived_cl316])).
% 5.48/1.90 thf(zip_derived_cl526, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((inverse @ (divide @ (divide @ X1 @ X0) @ X1)) = (X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl21, zip_derived_cl7, zip_derived_cl2])).
% 5.48/1.90 thf(zip_derived_cl614, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl342, zip_derived_cl526])).
% 5.48/1.90 thf(zip_derived_cl1382, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((inverse @ (multiply @ X1 @ X0)) = (divide @ (inverse @ X0) @ X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl614])).
% 5.48/1.90 thf(zip_derived_cl316, plain,
% 5.48/1.90 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl303, zip_derived_cl7, zip_derived_cl11])).
% 5.48/1.90 thf(zip_derived_cl3574, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((divide @ (multiply @ X1 @ X0) @ (multiply @ X0 @ X1)) = (identity))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl284, zip_derived_cl478, zip_derived_cl612,
% 5.48/1.90 zip_derived_cl1382, zip_derived_cl316])).
% 5.48/1.90 thf(zip_derived_cl615, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X0) @ X0) = (X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl342, zip_derived_cl538])).
% 5.48/1.90 thf(zip_derived_cl3603, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((multiply @ identity @ (multiply @ X0 @ X1)) = (multiply @ X1 @ X0))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl3574, zip_derived_cl615])).
% 5.48/1.90 thf(zip_derived_cl9, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.90 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.48/1.90 inference('cnf', [status(esa)], [identity])).
% 5.48/1.90 thf(zip_derived_cl10, plain,
% 5.48/1.90 (![X0 : $i]: ((identity) = (multiply @ (inverse @ X0) @ X0))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 5.48/1.90 thf(zip_derived_cl16, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X2)) @
% 5.48/1.90 (multiply @ (divide @ X2 @ X1) @ X0)) = (X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl12])).
% 5.48/1.90 thf(zip_derived_cl16, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X2)) @
% 5.48/1.90 (multiply @ (divide @ X2 @ X1) @ X0)) = (X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl12])).
% 5.48/1.90 thf(zip_derived_cl262, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.90 ((divide @
% 5.48/1.90 (inverse @
% 5.48/1.90 (divide @ (inverse @ X3) @
% 5.48/1.90 (inverse @ (divide @ (inverse @ X1) @ X2)))) @
% 5.48/1.90 (multiply @ X0 @ X3)) = (multiply @ (divide @ X2 @ X0) @ X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl16])).
% 5.48/1.90 thf(zip_derived_cl9, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.90 thf(zip_derived_cl286, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.90 ((divide @
% 5.48/1.90 (inverse @
% 5.48/1.90 (multiply @ (inverse @ X3) @ (divide @ (inverse @ X1) @ X2))) @
% 5.48/1.90 (multiply @ X0 @ X3)) = (multiply @ (divide @ X2 @ X0) @ X1))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl9])).
% 5.48/1.90 thf(zip_derived_cl1382, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((inverse @ (multiply @ X1 @ X0)) = (divide @ (inverse @ X0) @ X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl614])).
% 5.48/1.90 thf(zip_derived_cl612, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((multiply @ (inverse @ X0) @ X1) = (divide @ X1 @ X0))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl342, zip_derived_cl25])).
% 5.48/1.90 thf(zip_derived_cl1382, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((inverse @ (multiply @ X1 @ X0)) = (divide @ (inverse @ X0) @ X1))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl614])).
% 5.48/1.90 thf(zip_derived_cl316, plain,
% 5.48/1.90 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl303, zip_derived_cl7, zip_derived_cl11])).
% 5.48/1.90 thf(zip_derived_cl3726, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.90 ((divide @ (multiply @ X3 @ (multiply @ X2 @ X1)) @
% 5.48/1.90 (multiply @ X0 @ X3)) = (multiply @ (divide @ X2 @ X0) @ X1))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl286, zip_derived_cl1382, zip_derived_cl612,
% 5.48/1.90 zip_derived_cl1382, zip_derived_cl316])).
% 5.48/1.90 thf(zip_derived_cl3785, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((divide @ (multiply @ X1 @ (multiply @ X2 @ X0)) @ identity)
% 5.48/1.90 = (multiply @ (divide @ X2 @ (inverse @ X1)) @ X0))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl3726])).
% 5.48/1.90 thf(zip_derived_cl335, plain,
% 5.48/1.90 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl325])).
% 5.48/1.90 thf(zip_derived_cl9, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.48/1.90 thf(zip_derived_cl3849, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((multiply @ X1 @ (multiply @ X2 @ X0))
% 5.48/1.90 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl3785, zip_derived_cl335, zip_derived_cl9])).
% 5.48/1.90 thf(zip_derived_cl4244, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((multiply @ (multiply @ X0 @ X1) @ (multiply @ identity @ X2))
% 5.48/1.90 = (multiply @ (multiply @ X1 @ X0) @ X2))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl3603, zip_derived_cl3849])).
% 5.48/1.90 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.48/1.90 inference('cnf', [status(esa)], [identity])).
% 5.48/1.90 thf(zip_derived_cl7, plain, (((inverse @ identity) = (identity))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 5.48/1.90 thf(zip_derived_cl31, plain,
% 5.48/1.90 (![X0 : $i]: ((inverse @ (divide @ X0 @ X0)) = (identity))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 5.48/1.90 thf(zip_derived_cl25, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i]:
% 5.48/1.90 ((multiply @ (inverse @ (divide @ X1 @ X0)) @ X1) = (X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl17, zip_derived_cl2, zip_derived_cl9])).
% 5.48/1.90 thf(zip_derived_cl302, plain,
% 5.48/1.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.48/1.90 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl25])).
% 5.48/1.90 thf(zip_derived_cl3849, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((multiply @ X1 @ (multiply @ X2 @ X0))
% 5.48/1.90 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl3785, zip_derived_cl335, zip_derived_cl9])).
% 5.48/1.90 thf(zip_derived_cl3849, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((multiply @ X1 @ (multiply @ X2 @ X0))
% 5.48/1.90 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl3785, zip_derived_cl335, zip_derived_cl9])).
% 5.48/1.90 thf(zip_derived_cl4269, plain,
% 5.48/1.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.90 ((multiply @ X1 @ (multiply @ X0 @ X2))
% 5.48/1.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 5.48/1.90 inference('demod', [status(thm)],
% 5.48/1.90 [zip_derived_cl4244, zip_derived_cl302, zip_derived_cl3849,
% 5.48/1.90 zip_derived_cl3849])).
% 5.48/1.90 thf(zip_derived_cl5331, plain,
% 5.48/1.90 (((multiply @ a3 @ (multiply @ c3 @ b3))
% 5.48/1.90 != (multiply @ a3 @ (multiply @ c3 @ b3)))),
% 5.48/1.90 inference('demod', [status(thm)], [zip_derived_cl786, zip_derived_cl4269])).
% 5.48/1.90 thf(zip_derived_cl5332, plain, ($false),
% 5.48/1.90 inference('simplify', [status(thm)], [zip_derived_cl5331])).
% 5.48/1.90
% 5.48/1.90 % SZS output end Refutation
% 5.48/1.90
% 5.48/1.90
% 5.48/1.90 % Terminating...
% 6.16/2.05 % Runner terminated.
% 6.16/2.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------