%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP095-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.n01zCwHMJn 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 7.02s 4.49s
% Output : Refutation 7.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.05 % Problem : GRP095-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.12/1.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.n01zCwHMJn true
% 0.12/1.53 % Computer : n029.cluster.edu
% 0.12/1.53 % Model : x86_64 x86_64
% 0.12/1.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.53 % Memory : 8042.1875MB
% 0.12/1.53 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/1.53 % CPULimit : 300
% 0.12/1.53 % WCLimit : 300
% 0.12/1.53 % DateTime : Wed Oct 1 14:19:24 EDT 2025
% 0.12/1.55 % CPUTime :
% 0.12/1.55 % Running portfolio for 300 s
% 0.12/1.55 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/1.56 % Number of cores: 8
% 0.19/1.59 % Python version: Python 3.6.8
% 0.19/1.60 % Running in FO mode
% 0.51/2.30 % Total configuration time : 435
% 0.51/2.30 % Estimated wc time : 1092
% 0.51/2.30 % Estimated cpu time (7 cpus) : 156.0
% 0.54/2.59 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/2.60 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/2.61 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/2.62 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/2.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/2.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/2.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.02/4.49 % Solved by fo/fo13.sh.
% 7.02/4.49 % done 391 iterations in 1.638s
% 7.02/4.49 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.02/4.49 % SZS output start Refutation
% 7.02/4.49 thf(b2_type, type, b2: $i).
% 7.02/4.49 thf(multiply_type, type, multiply: $i > $i > $i).
% 7.02/4.49 thf(a3_type, type, a3: $i).
% 7.02/4.49 thf(b1_type, type, b1: $i).
% 7.02/4.49 thf(a1_type, type, a1: $i).
% 7.02/4.49 thf(identity_type, type, identity: $i).
% 7.02/4.49 thf(divide_type, type, divide: $i > $i > $i).
% 7.02/4.49 thf(inverse_type, type, inverse: $i > $i).
% 7.02/4.49 thf(c3_type, type, c3: $i).
% 7.02/4.49 thf(b3_type, type, b3: $i).
% 7.02/4.49 thf(b4_type, type, b4: $i).
% 7.02/4.49 thf(a2_type, type, a2: $i).
% 7.02/4.49 thf(a4_type, type, a4: $i).
% 7.02/4.49 thf(prove_these_axioms, conjecture,
% 7.02/4.49 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 7.02/4.49 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 7.02/4.49 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 7.02/4.49 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 7.02/4.49 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 7.02/4.49 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 7.02/4.49 thf(zf_stmt_0, negated_conjecture,
% 7.02/4.49 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 7.02/4.49 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 7.02/4.49 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 7.02/4.49 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 7.02/4.49 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 7.02/4.49 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 7.02/4.49 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 7.02/4.49 thf(zip_derived_cl4, plain,
% 7.02/4.49 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 7.02/4.49 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 7.02/4.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 7.02/4.49 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 7.02/4.49 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.02/4.49 thf(inverse, axiom, (( inverse @ X ) = ( divide @ identity @ X ))).
% 7.02/4.49 thf(zip_derived_cl2, plain,
% 7.02/4.49 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [inverse])).
% 7.02/4.49 thf(zip_derived_cl2, plain,
% 7.02/4.49 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [inverse])).
% 7.02/4.49 thf(zip_derived_cl2, plain,
% 7.02/4.49 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [inverse])).
% 7.02/4.49 thf(zip_derived_cl5, plain,
% 7.02/4.49 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 7.02/4.49 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 7.02/4.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 7.02/4.49 | ((multiply @ (multiply @ (divide @ identity @ b2) @ b2) @ a2) != (a2))
% 7.02/4.49 | ((multiply @ (divide @ identity @ a1) @ a1)
% 7.02/4.49 != (multiply @ (divide @ identity @ b1) @ b1)))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl4, zip_derived_cl2, zip_derived_cl2,
% 7.02/4.49 zip_derived_cl2])).
% 7.02/4.49 thf(identity, axiom, (( identity ) = ( divide @ X @ X ))).
% 7.02/4.49 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [identity])).
% 7.02/4.49 thf(multiply, axiom,
% 7.02/4.49 (( multiply @ X @ Y ) = ( divide @ X @ ( divide @ identity @ Y ) ))).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl20, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl20, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl20, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl33, plain,
% 7.02/4.49 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 7.02/4.49 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 7.02/4.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 7.02/4.49 | ((multiply @ identity @ a2) != (a2))
% 7.02/4.49 | ((identity) != (identity)))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl5, zip_derived_cl20, zip_derived_cl20,
% 7.02/4.49 zip_derived_cl20])).
% 7.02/4.49 thf(zip_derived_cl34, plain,
% 7.02/4.49 ((((multiply @ identity @ a2) != (a2))
% 7.02/4.49 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 7.02/4.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 7.02/4.49 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 7.02/4.49 inference('simplify', [status(thm)], [zip_derived_cl33])).
% 7.02/4.49 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [identity])).
% 7.02/4.49 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [identity])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(single_axiom, axiom,
% 7.02/4.49 (( divide @
% 7.02/4.49 ( divide @ identity @ X ) @
% 7.02/4.49 ( divide @ ( divide @ ( divide @ Y @ X ) @ Z ) @ Y ) ) =
% 7.02/4.49 ( Z ))).
% 7.02/4.49 thf(zip_derived_cl0, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ X1) @
% 7.02/4.49 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [single_axiom])).
% 7.02/4.49 thf(zip_derived_cl0, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ X1) @
% 7.02/4.49 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [single_axiom])).
% 7.02/4.49 thf(zip_derived_cl7, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ X2) @ (divide @ X0 @ identity))
% 7.02/4.49 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl40, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ X2) @ (multiply @ X0 @ identity))
% 7.02/4.49 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl21])).
% 7.02/4.49 thf(zip_derived_cl48, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ X0) @ (multiply @ identity @ identity))
% 7.02/4.49 = (divide @ (multiply @ (divide @ X1 @ X0) @ identity) @ X1))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl40])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [identity])).
% 7.02/4.49 thf(zip_derived_cl26, plain,
% 7.02/4.49 (((identity) = (multiply @ identity @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl54, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ (divide @ identity @ X0) @ identity)
% 7.02/4.49 = (divide @ (multiply @ (divide @ X1 @ X0) @ identity) @ X1))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl48, zip_derived_cl26, zip_derived_cl21])).
% 7.02/4.49 thf(zip_derived_cl80, plain,
% 7.02/4.49 (![X0 : $i]:
% 7.02/4.49 ((multiply @ (divide @ identity @ X0) @ identity)
% 7.02/4.49 = (divide @ (multiply @ identity @ identity) @ X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl54])).
% 7.02/4.49 thf(zip_derived_cl26, plain,
% 7.02/4.49 (((identity) = (multiply @ identity @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 7.02/4.49 thf(zip_derived_cl85, plain,
% 7.02/4.49 (![X0 : $i]:
% 7.02/4.49 ((multiply @ (divide @ identity @ X0) @ identity)
% 7.02/4.49 = (divide @ identity @ X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl26])).
% 7.02/4.49 thf(zip_derived_cl0, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ X1) @
% 7.02/4.49 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [single_axiom])).
% 7.02/4.49 thf(zip_derived_cl0, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ X1) @
% 7.02/4.49 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [single_axiom])).
% 7.02/4.49 thf(zip_derived_cl9, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/4.49 ((divide @
% 7.02/4.49 (divide @ identity @
% 7.02/4.49 (divide @ (divide @ (divide @ X3 @ X2) @ X0) @ X3)) @
% 7.02/4.49 (divide @ (divide @ X0 @ X1) @ (divide @ identity @ X2))) = (
% 7.02/4.49 X1))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl10, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/4.49 ((divide @
% 7.02/4.49 (divide @ identity @
% 7.02/4.49 (divide @ (divide @ (divide @ X3 @ X2) @ X0) @ X3)) @
% 7.02/4.49 (multiply @ (divide @ X0 @ X1) @ X2)) = (X1))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl40, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ X2) @ (multiply @ X0 @ identity))
% 7.02/4.49 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl21])).
% 7.02/4.49 thf(zip_derived_cl106, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @
% 7.02/4.49 (divide @ identity @
% 7.02/4.49 (divide @ (divide @ identity @ X2) @ (multiply @ X0 @ identity))) @
% 7.02/4.49 (multiply @ (divide @ X0 @ X1) @ X2)) = (X1))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl40])).
% 7.02/4.49 thf(zip_derived_cl113, plain,
% 7.02/4.49 (![X0 : $i]:
% 7.02/4.49 ((divide @
% 7.02/4.49 (divide @ identity @
% 7.02/4.49 (divide @ (divide @ identity @ identity) @
% 7.02/4.49 (multiply @ identity @ identity))) @
% 7.02/4.49 (divide @ identity @ X0)) = (X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl106])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl26, plain,
% 7.02/4.49 (((identity) = (multiply @ identity @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 7.02/4.49 thf(zip_derived_cl26, plain,
% 7.02/4.49 (((identity) = (multiply @ identity @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl26, plain,
% 7.02/4.49 (((identity) = (multiply @ identity @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl26, plain,
% 7.02/4.49 (((identity) = (multiply @ identity @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl129, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl113, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl26, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl21, zip_derived_cl26, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl142, plain,
% 7.02/4.49 ((((a2) != (a2))
% 7.02/4.49 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 7.02/4.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 7.02/4.49 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl129])).
% 7.02/4.49 thf(zip_derived_cl143, plain,
% 7.02/4.49 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 7.02/4.49 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 7.02/4.49 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 7.02/4.49 inference('simplify', [status(thm)], [zip_derived_cl142])).
% 7.02/4.49 thf(zip_derived_cl20, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl0, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ X1) @
% 7.02/4.49 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 7.02/4.49 inference('cnf', [status(esa)], [single_axiom])).
% 7.02/4.49 thf(zip_derived_cl15, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ (divide @ identity @ X0)) @
% 7.02/4.49 (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1)) = (X2))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl23, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (multiply @ identity @ X0) @
% 7.02/4.49 (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1)) = (X2))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl129, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl113, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl26, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl21, zip_derived_cl26, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl250, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ X0 @ (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))
% 7.02/4.49 = (X2))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl129])).
% 7.02/4.49 thf(zip_derived_cl129, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl113, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl26, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl21, zip_derived_cl26, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl106, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @
% 7.02/4.49 (divide @ identity @
% 7.02/4.49 (divide @ (divide @ identity @ X2) @ (multiply @ X0 @ identity))) @
% 7.02/4.49 (multiply @ (divide @ X0 @ X1) @ X2)) = (X1))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl40])).
% 7.02/4.49 thf(zip_derived_cl146, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((divide @
% 7.02/4.49 (divide @ identity @ (divide @ (divide @ identity @ X1) @ identity)) @
% 7.02/4.49 (multiply @ (divide @ identity @ X0) @ X1)) = (X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl106])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl85, plain,
% 7.02/4.49 (![X0 : $i]:
% 7.02/4.49 ((multiply @ (divide @ identity @ X0) @ identity)
% 7.02/4.49 = (divide @ identity @ X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl26])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl129, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl113, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl26, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl21, zip_derived_cl26, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl148, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((divide @ X1 @ (multiply @ (divide @ identity @ X0) @ X1)) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl146, zip_derived_cl21, zip_derived_cl85,
% 7.02/4.49 zip_derived_cl1, zip_derived_cl129])).
% 7.02/4.49 thf(zip_derived_cl257, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ X2 @ (multiply @ X0 @ X2))
% 7.02/4.49 = (divide @ (divide @ (multiply @ X1 @ identity) @ X0) @ X1))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl148])).
% 7.02/4.49 thf(zip_derived_cl20, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl106, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @
% 7.02/4.49 (divide @ identity @
% 7.02/4.49 (divide @ (divide @ identity @ X2) @ (multiply @ X0 @ identity))) @
% 7.02/4.49 (multiply @ (divide @ X0 @ X1) @ X2)) = (X1))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl40])).
% 7.02/4.49 thf(zip_derived_cl112, plain,
% 7.02/4.49 (![X0 : $i]:
% 7.02/4.49 ((divide @
% 7.02/4.49 (divide @ identity @
% 7.02/4.49 (divide @ (divide @ identity @ X0) @
% 7.02/4.49 (multiply @ identity @ identity))) @
% 7.02/4.49 identity) = (X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl106])).
% 7.02/4.49 thf(zip_derived_cl26, plain,
% 7.02/4.49 (((identity) = (multiply @ identity @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl85, plain,
% 7.02/4.49 (![X0 : $i]:
% 7.02/4.49 ((multiply @ (divide @ identity @ X0) @ identity)
% 7.02/4.49 = (divide @ identity @ X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl26])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl128, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ (multiply @ identity @ X0) @ identity) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl112, zip_derived_cl26, zip_derived_cl21,
% 7.02/4.49 zip_derived_cl85, zip_derived_cl1, zip_derived_cl21])).
% 7.02/4.49 thf(zip_derived_cl129, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl113, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl26, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl21, zip_derived_cl26, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl149, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl129])).
% 7.02/4.49 thf(zip_derived_cl279, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ X2 @ (multiply @ X0 @ X2))
% 7.02/4.49 = (divide @ (divide @ X1 @ X0) @ X1))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl149])).
% 7.02/4.49 thf(zip_derived_cl319, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((divide @ X1 @ identity)
% 7.02/4.49 = (divide @ (divide @ X0 @ (divide @ identity @ X1)) @ X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl279])).
% 7.02/4.49 thf(zip_derived_cl21, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl149, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl129])).
% 7.02/4.49 thf(zip_derived_cl150, plain,
% 7.02/4.49 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl149])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl332, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((X1) = (divide @ (multiply @ X0 @ X1) @ X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl319, zip_derived_cl150, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl332, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((X1) = (divide @ (multiply @ X0 @ X1) @ X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl319, zip_derived_cl150, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl150, plain,
% 7.02/4.49 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl149])).
% 7.02/4.49 thf(zip_derived_cl250, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ X0 @ (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))
% 7.02/4.49 = (X2))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl129])).
% 7.02/4.49 thf(zip_derived_cl262, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((divide @ X1 @ (divide @ (multiply @ identity @ X1) @ X0)) = (X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl250])).
% 7.02/4.49 thf(zip_derived_cl129, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl113, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl26, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl21, zip_derived_cl26, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl273, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl129])).
% 7.02/4.49 thf(zip_derived_cl339, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl332, zip_derived_cl273])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl354, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ (multiply @ X0 @ (divide @ identity @ X1)) @ X1) = (X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl339, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl19, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X1 @ (divide @ identity @ X0))
% 7.02/4.49 = (divide @ X1 @ (multiply @ identity @ X0)))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl129, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl113, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl26, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl21, zip_derived_cl26, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl141, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X1 @ (divide @ identity @ X0)) = (divide @ X1 @ X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl129])).
% 7.02/4.49 thf(zip_derived_cl362, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl354, zip_derived_cl141])).
% 7.02/4.49 thf(zip_derived_cl416, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl332, zip_derived_cl362])).
% 7.02/4.49 thf(zip_derived_cl416, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl332, zip_derived_cl362])).
% 7.02/4.49 thf(zip_derived_cl419, plain,
% 7.02/4.49 ((((multiply @ a4 @ b4) != (multiply @ a4 @ b4))
% 7.02/4.49 | ((multiply @ c3 @ (multiply @ a3 @ b3))
% 7.02/4.49 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl143, zip_derived_cl416, zip_derived_cl416])).
% 7.02/4.49 thf(zip_derived_cl420, plain,
% 7.02/4.49 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 7.02/4.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 7.02/4.49 inference('simplify', [status(thm)], [zip_derived_cl419])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl40, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ X2) @ (multiply @ X0 @ identity))
% 7.02/4.49 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl21])).
% 7.02/4.49 thf(zip_derived_cl51, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (divide @ identity @ (divide @ identity @ X0)) @
% 7.02/4.49 (multiply @ X2 @ identity))
% 7.02/4.49 = (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl40])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl55, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ (multiply @ identity @ X0) @ (multiply @ X2 @ identity))
% 7.02/4.49 = (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl129, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl113, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl26, zip_derived_cl21, zip_derived_cl26,
% 7.02/4.49 zip_derived_cl21, zip_derived_cl26, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl149, plain,
% 7.02/4.49 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl129])).
% 7.02/4.49 thf(zip_derived_cl594, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ X0 @ X2)
% 7.02/4.49 = (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))),
% 7.02/4.49 inference('demod', [status(thm)],
% 7.02/4.49 [zip_derived_cl55, zip_derived_cl129, zip_derived_cl149])).
% 7.02/4.49 thf(zip_derived_cl607, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((divide @ X1 @ (divide @ identity @ X0))
% 7.02/4.49 = (divide @ (multiply @ (multiply @ X2 @ X1) @ X0) @ X2))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl594])).
% 7.02/4.49 thf(zip_derived_cl1, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]:
% 7.02/4.49 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 7.02/4.49 inference('cnf', [status(esa)], [multiply])).
% 7.02/4.49 thf(zip_derived_cl625, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((multiply @ X1 @ X0)
% 7.02/4.49 = (divide @ (multiply @ (multiply @ X2 @ X1) @ X0) @ X2))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl607, zip_derived_cl1])).
% 7.02/4.49 thf(zip_derived_cl273, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl129])).
% 7.02/4.49 thf(zip_derived_cl362, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl354, zip_derived_cl141])).
% 7.02/4.49 thf(zip_derived_cl409, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ (divide @ X1 @ X0)) = (X1))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl273, zip_derived_cl362])).
% 7.02/4.49 thf(zip_derived_cl1532, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 7.02/4.49 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl625, zip_derived_cl409])).
% 7.02/4.49 thf(zip_derived_cl416, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 7.02/4.49 inference('s_sup+', [status(thm)], [zip_derived_cl332, zip_derived_cl362])).
% 7.02/4.49 thf(zip_derived_cl2957, plain,
% 7.02/4.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/4.49 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 7.02/4.49 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 7.02/4.49 inference('s_sup+', [status(thm)],
% 7.02/4.49 [zip_derived_cl1532, zip_derived_cl416])).
% 7.02/4.49 thf(zip_derived_cl3034, plain,
% 7.02/4.49 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 7.02/4.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 7.02/4.49 inference('demod', [status(thm)], [zip_derived_cl420, zip_derived_cl2957])).
% 7.02/4.49 thf(zip_derived_cl3035, plain, ($false),
% 7.02/4.49 inference('simplify', [status(thm)], [zip_derived_cl3034])).
% 7.02/4.49
% 7.02/4.49 % SZS output end Refutation
% 7.02/4.49
% 7.02/4.49
% 7.02/4.49 % Terminating...
% 7.33/4.69 % Runner terminated.
% 7.33/4.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------