%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP551-1 : 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.06jC6NkoNI 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 04:36:39 PM UTC 2025
% Result : Unsatisfiable 5.68s 1.51s
% Output : Refutation 5.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP551-1 : TPTP v9.2.0. Released v2.6.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.06jC6NkoNI true
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 14:19:38 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.49/0.60 % Total configuration time : 435
% 0.49/0.60 % Estimated wc time : 1092
% 0.49/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.68/1.51 % Solved by fo/fo1_av.sh.
% 5.68/1.51 % done 364 iterations in 0.735s
% 5.68/1.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.68/1.51 % SZS output start Refutation
% 5.68/1.51 thf(c3_type, type, c3: $i).
% 5.68/1.51 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.68/1.51 thf(b3_type, type, b3: $i).
% 5.68/1.51 thf(a3_type, type, a3: $i).
% 5.68/1.51 thf(identity_type, type, identity: $i).
% 5.68/1.51 thf(divide_type, type, divide: $i > $i > $i).
% 5.68/1.51 thf(prove_these_axioms_3, conjecture,
% 5.68/1.51 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 5.68/1.51 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 5.68/1.51 thf(zf_stmt_0, negated_conjecture,
% 5.68/1.51 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 5.68/1.51 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 5.68/1.51 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 5.68/1.51 thf(zip_derived_cl4, plain,
% 5.68/1.51 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 5.68/1.51 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.68/1.51 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.68/1.51 thf(multiply, axiom,
% 5.68/1.51 (( multiply @ A @ B ) = ( divide @ A @ ( divide @ identity @ B ) ))).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(identity, axiom, (( identity ) = ( divide @ A @ A ))).
% 5.68/1.51 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [identity])).
% 5.68/1.51 thf(single_axiom, axiom,
% 5.68/1.51 (( divide @
% 5.68/1.51 ( divide @ identity @ A ) @
% 5.68/1.51 ( divide @ ( divide @ ( divide @ B @ A ) @ C ) @ B ) ) =
% 5.68/1.51 ( C ))).
% 5.68/1.51 thf(zip_derived_cl0, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X1) @
% 5.68/1.51 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [single_axiom])).
% 5.68/1.51 thf(zip_derived_cl12, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X0) @ (divide @ identity @ X1))
% 5.68/1.51 = (divide @ X1 @ X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl48, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ (divide @ identity @ X0) @ X1) = (divide @ X1 @ X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl60, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ (multiply @ identity @ X0) @ X1)
% 5.68/1.51 = (divide @ X1 @ (divide @ identity @ X0)))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl48])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl61, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ (multiply @ identity @ X0) @ X1) = (multiply @ X1 @ X0))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [identity])).
% 5.68/1.51 thf(zip_derived_cl48, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ (divide @ identity @ X0) @ X1) = (divide @ X1 @ X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl59, plain,
% 5.68/1.51 (![X0 : $i]: ((multiply @ identity @ X0) = (divide @ X0 @ identity))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl48])).
% 5.68/1.51 thf(zip_derived_cl79, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ (divide @ X0 @ identity) @ X1) = (multiply @ X1 @ X0))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl59])).
% 5.68/1.51 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [identity])).
% 5.68/1.51 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [identity])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl6, plain,
% 5.68/1.51 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl25, plain,
% 5.68/1.51 (((multiply @ identity @ identity) = (identity))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl0, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X1) @
% 5.68/1.51 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [single_axiom])).
% 5.68/1.51 thf(zip_derived_cl16, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ (divide @ identity @ X0)) @
% 5.68/1.51 (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1)) = (X2))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl20, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (multiply @ identity @ X0) @
% 5.68/1.51 (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1)) = (X2))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl59, plain,
% 5.68/1.51 (![X0 : $i]: ((multiply @ identity @ X0) = (divide @ X0 @ identity))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl48])).
% 5.68/1.51 thf(zip_derived_cl105, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ X0 @ identity) @
% 5.68/1.51 (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1)) = (X2))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl59])).
% 5.68/1.51 thf(zip_derived_cl117, plain,
% 5.68/1.51 (![X0 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ identity) @
% 5.68/1.51 (divide @ (divide @ identity @ X0) @ identity)) = (X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl105])).
% 5.68/1.51 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [identity])).
% 5.68/1.51 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [identity])).
% 5.68/1.51 thf(zip_derived_cl12, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X0) @ (divide @ identity @ X1))
% 5.68/1.51 = (divide @ X1 @ X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 5.68/1.51 thf(zip_derived_cl50, plain,
% 5.68/1.51 (![X0 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X0) @ identity)
% 5.68/1.51 = (divide @ identity @ X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl59, plain,
% 5.68/1.51 (![X0 : $i]: ((multiply @ identity @ X0) = (divide @ X0 @ identity))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl48])).
% 5.68/1.51 thf(zip_derived_cl126, plain,
% 5.68/1.51 (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)],
% 5.68/1.51 [zip_derived_cl117, zip_derived_cl3, zip_derived_cl50,
% 5.68/1.51 zip_derived_cl1, zip_derived_cl59])).
% 5.68/1.51 thf(zip_derived_cl133, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl126])).
% 5.68/1.51 thf(zip_derived_cl146, plain,
% 5.68/1.51 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 5.68/1.51 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl133])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl0, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X1) @
% 5.68/1.51 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [single_axiom])).
% 5.68/1.51 thf(zip_derived_cl0, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X1) @
% 5.68/1.51 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [single_axiom])).
% 5.68/1.51 thf(zip_derived_cl10, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X2) @ (divide @ X0 @ identity))
% 5.68/1.51 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.68/1.51 thf(zip_derived_cl71, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ (divide @ identity @ X0)) @
% 5.68/1.51 (divide @ X2 @ identity))
% 5.68/1.51 = (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl74, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (multiply @ identity @ X0) @ (divide @ X2 @ identity))
% 5.68/1.51 = (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl59, plain,
% 5.68/1.51 (![X0 : $i]: ((multiply @ identity @ X0) = (divide @ X0 @ identity))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl48])).
% 5.68/1.51 thf(zip_derived_cl126, plain,
% 5.68/1.51 (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)],
% 5.68/1.51 [zip_derived_cl117, zip_derived_cl3, zip_derived_cl50,
% 5.68/1.51 zip_derived_cl1, zip_derived_cl59])).
% 5.68/1.51 thf(zip_derived_cl132, plain,
% 5.68/1.51 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl126])).
% 5.68/1.51 thf(zip_derived_cl126, plain,
% 5.68/1.51 (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)],
% 5.68/1.51 [zip_derived_cl117, zip_derived_cl3, zip_derived_cl50,
% 5.68/1.51 zip_derived_cl1, zip_derived_cl59])).
% 5.68/1.51 thf(zip_derived_cl652, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ X0 @ X2)
% 5.68/1.51 = (divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ X1))),
% 5.68/1.51 inference('demod', [status(thm)],
% 5.68/1.51 [zip_derived_cl74, zip_derived_cl132, zip_derived_cl126])).
% 5.68/1.51 thf(zip_derived_cl666, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ X1 @ (divide @ identity @ X0))
% 5.68/1.51 = (divide @ (multiply @ (multiply @ X2 @ X1) @ X0) @ X2))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl652])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl684, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((multiply @ X1 @ X0)
% 5.68/1.51 = (divide @ (multiply @ (multiply @ X2 @ X1) @ X0) @ X2))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl666, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl126, plain,
% 5.68/1.51 (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)],
% 5.68/1.51 [zip_derived_cl117, zip_derived_cl3, zip_derived_cl50,
% 5.68/1.51 zip_derived_cl1, zip_derived_cl59])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl0, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X1) @
% 5.68/1.51 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [single_axiom])).
% 5.68/1.51 thf(zip_derived_cl19, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (multiply @ identity @ X0) @
% 5.68/1.51 (divide @
% 5.68/1.51 (divide @ (divide @ X2 @ (divide @ identity @ X0)) @ X1) @ X2))
% 5.68/1.51 = (X1))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl22, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (multiply @ identity @ X0) @
% 5.68/1.51 (divide @ (divide @ (multiply @ X2 @ X0) @ X1) @ X2)) = (X1))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl132, plain,
% 5.68/1.51 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl126])).
% 5.68/1.51 thf(zip_derived_cl213, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ X0 @ (divide @ (divide @ (multiply @ X2 @ X0) @ X1) @ X2))
% 5.68/1.51 = (X1))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl132])).
% 5.68/1.51 thf(zip_derived_cl226, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((divide @ X1 @ (divide @ (multiply @ identity @ X1) @ X0)) = (X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl213])).
% 5.68/1.51 thf(zip_derived_cl132, plain,
% 5.68/1.51 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl126])).
% 5.68/1.51 thf(zip_derived_cl240, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl226, zip_derived_cl132])).
% 5.68/1.51 thf(zip_derived_cl266, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((divide @ X1 @ (multiply @ X1 @ X0)) = (divide @ identity @ X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl240])).
% 5.68/1.51 thf(zip_derived_cl0, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X1) @
% 5.68/1.51 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [single_axiom])).
% 5.68/1.51 thf(zip_derived_cl0, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((divide @ (divide @ identity @ X1) @
% 5.68/1.51 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 5.68/1.51 inference('cnf', [status(esa)], [single_axiom])).
% 5.68/1.51 thf(zip_derived_cl17, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.68/1.51 ((divide @
% 5.68/1.51 (divide @ identity @
% 5.68/1.51 (divide @ (divide @ (divide @ X3 @ X2) @ X0) @ X3)) @
% 5.68/1.51 (divide @ (divide @ X0 @ X1) @ (divide @ identity @ X2))) = (
% 5.68/1.51 X1))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl21, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.68/1.51 ((divide @
% 5.68/1.51 (divide @ identity @
% 5.68/1.51 (divide @ (divide @ (divide @ X3 @ X2) @ X0) @ X3)) @
% 5.68/1.51 (multiply @ (divide @ X0 @ X1) @ X2)) = (X1))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl325, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((divide @ identity @ X0)
% 5.68/1.51 = (divide @ (divide @ (divide @ X1 @ X0) @ identity) @ X1))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl21])).
% 5.68/1.51 thf(zip_derived_cl126, plain,
% 5.68/1.51 (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)],
% 5.68/1.51 [zip_derived_cl117, zip_derived_cl3, zip_derived_cl50,
% 5.68/1.51 zip_derived_cl1, zip_derived_cl59])).
% 5.68/1.51 thf(zip_derived_cl349, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((divide @ identity @ X0) = (divide @ (divide @ X1 @ X0) @ X1))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl325, zip_derived_cl126])).
% 5.68/1.51 thf(zip_derived_cl404, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((divide @ identity @ (divide @ identity @ X0))
% 5.68/1.51 = (divide @ (multiply @ X1 @ X0) @ X1))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl349])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl132, plain,
% 5.68/1.51 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl126])).
% 5.68/1.51 thf(zip_derived_cl415, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 5.68/1.51 inference('demod', [status(thm)],
% 5.68/1.51 [zip_derived_cl404, zip_derived_cl1, zip_derived_cl132])).
% 5.68/1.51 thf(zip_derived_cl1, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.68/1.51 inference('cnf', [status(esa)], [multiply])).
% 5.68/1.51 thf(zip_derived_cl425, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ (multiply @ (divide @ identity @ X1) @ X0) @ X1) = (X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl415, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl48, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]:
% 5.68/1.51 ((multiply @ (divide @ identity @ X0) @ X1) = (divide @ X1 @ X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 5.68/1.51 thf(zip_derived_cl133, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl126])).
% 5.68/1.51 thf(zip_derived_cl436, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (divide @ X0 @ X1)) = (X0))),
% 5.68/1.51 inference('demod', [status(thm)],
% 5.68/1.51 [zip_derived_cl425, zip_derived_cl48, zip_derived_cl133])).
% 5.68/1.51 thf(zip_derived_cl985, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 5.68/1.51 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl684, zip_derived_cl436])).
% 5.68/1.51 thf(zip_derived_cl133, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl126])).
% 5.68/1.51 thf(zip_derived_cl2300, plain,
% 5.68/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.51 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 5.68/1.51 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 5.68/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl133])).
% 5.68/1.51 thf(zip_derived_cl2599, plain,
% 5.68/1.51 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 5.68/1.51 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.68/1.51 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl2300])).
% 5.68/1.51 thf(zip_derived_cl2600, plain, ($false),
% 5.68/1.51 inference('simplify', [status(thm)], [zip_derived_cl2599])).
% 5.68/1.51
% 5.68/1.51 % SZS output end Refutation
% 5.68/1.51
% 5.68/1.51
% 5.68/1.51 % Terminating...
% 6.43/1.75 % Runner terminated.
% 6.43/1.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------