%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP543-1 : 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.PL5VAVvmDJ true
% Computer : n009.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 04:36:38 PM UTC 2025
% Result : Unsatisfiable 5.25s 1.32s
% Output : Refutation 5.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP543-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PL5VAVvmDJ true
% 0.10/0.32 % Computer : n009.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 14:06:08 EDT 2025
% 0.16/0.32 % CPUTime :
% 0.16/0.32 % Running portfolio for 300 s
% 0.16/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.32 % Number of cores: 8
% 0.16/0.32 % Python version: Python 3.6.8
% 0.16/0.33 % Running in FO mode
% 0.45/0.59 % Total configuration time : 435
% 0.45/0.59 % Estimated wc time : 1092
% 0.45/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.25/1.32 % Solved by fo/fo13.sh.
% 5.25/1.32 % done 370 iterations in 0.612s
% 5.25/1.32 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.25/1.32 % SZS output start Refutation
% 5.25/1.32 thf(c3_type, type, c3: $i).
% 5.25/1.32 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.25/1.32 thf(b3_type, type, b3: $i).
% 5.25/1.32 thf(a3_type, type, a3: $i).
% 5.25/1.32 thf(identity_type, type, identity: $i).
% 5.25/1.32 thf(divide_type, type, divide: $i > $i > $i).
% 5.25/1.32 thf(prove_these_axioms_3, conjecture,
% 5.25/1.32 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 5.25/1.32 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 5.25/1.32 thf(zf_stmt_0, negated_conjecture,
% 5.25/1.32 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 5.25/1.32 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 5.25/1.32 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 5.25/1.32 thf(zip_derived_cl4, plain,
% 5.25/1.32 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 5.25/1.32 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.25/1.32 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.25/1.32 thf(multiply, axiom,
% 5.25/1.32 (( multiply @ A @ B ) = ( divide @ A @ ( divide @ identity @ B ) ))).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(identity, axiom, (( identity ) = ( divide @ A @ A ))).
% 5.25/1.32 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.25/1.32 inference('cnf', [status(esa)], [identity])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl19, plain,
% 5.25/1.32 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 5.25/1.32 thf(single_axiom, axiom,
% 5.25/1.32 (( divide @
% 5.25/1.32 ( divide @
% 5.25/1.32 identity @ ( divide @ ( divide @ ( divide @ A @ B ) @ C ) @ A ) ) @
% 5.25/1.32 C ) =
% 5.25/1.32 ( B ))).
% 5.25/1.32 thf(zip_derived_cl0, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((divide @
% 5.25/1.32 (divide @ identity @
% 5.25/1.32 (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @
% 5.25/1.32 X2) = (X0))),
% 5.25/1.32 inference('cnf', [status(esa)], [single_axiom])).
% 5.25/1.32 thf(zip_derived_cl0, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((divide @
% 5.25/1.32 (divide @ identity @
% 5.25/1.32 (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @
% 5.25/1.32 X2) = (X0))),
% 5.25/1.32 inference('cnf', [status(esa)], [single_axiom])).
% 5.25/1.32 thf(zip_derived_cl8, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.25/1.32 ((divide @
% 5.25/1.32 (divide @ identity @
% 5.25/1.32 (divide @ (divide @ X0 @ X2) @
% 5.25/1.32 (divide @ identity @
% 5.25/1.32 (divide @ (divide @ (divide @ X3 @ X0) @ X1) @ X3)))) @
% 5.25/1.32 X2) = (X1))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl9, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.25/1.32 ((divide @
% 5.25/1.32 (divide @ identity @
% 5.25/1.32 (multiply @ (divide @ X0 @ X2) @
% 5.25/1.32 (divide @ (divide @ (divide @ X3 @ X0) @ X1) @ X3))) @
% 5.25/1.32 X2) = (X1))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl84, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ (divide @ identity @ identity) @
% 5.25/1.32 (divide @ (divide @ (divide @ X1 @ identity) @ X0) @ X1)) = (
% 5.25/1.32 X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl9])).
% 5.25/1.32 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.25/1.32 inference('cnf', [status(esa)], [identity])).
% 5.25/1.32 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.25/1.32 inference('cnf', [status(esa)], [identity])).
% 5.25/1.32 thf(zip_derived_cl0, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((divide @
% 5.25/1.32 (divide @ identity @
% 5.25/1.32 (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @
% 5.25/1.32 X2) = (X0))),
% 5.25/1.32 inference('cnf', [status(esa)], [single_axiom])).
% 5.25/1.32 thf(zip_derived_cl12, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ (divide @ identity @ (divide @ identity @ X1)) @
% 5.25/1.32 (divide @ X1 @ X0)) = (X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl13, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ (multiply @ identity @ X1) @ (divide @ X1 @ X0)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.25/1.32 inference('cnf', [status(esa)], [identity])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl20, plain,
% 5.25/1.32 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl13, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ (multiply @ identity @ X1) @ (divide @ X1 @ X0)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl42, plain,
% 5.25/1.32 (![X0 : $i]:
% 5.25/1.32 ((divide @ (divide @ identity @ identity) @ (divide @ identity @ X0))
% 5.25/1.32 = (X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl13])).
% 5.25/1.32 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 5.25/1.32 inference('cnf', [status(esa)], [identity])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl44, plain,
% 5.25/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)],
% 5.25/1.32 [zip_derived_cl42, zip_derived_cl3, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl58, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl44])).
% 5.25/1.32 thf(zip_derived_cl67, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl58])).
% 5.25/1.32 thf(zip_derived_cl67, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl58])).
% 5.25/1.32 thf(zip_derived_cl103, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ identity @ (divide @ (divide @ X1 @ X0) @ X1)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)],
% 5.25/1.32 [zip_derived_cl84, zip_derived_cl67, zip_derived_cl67])).
% 5.25/1.32 thf(zip_derived_cl58, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl44])).
% 5.25/1.32 thf(zip_derived_cl148, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ identity @ X0) = (divide @ (divide @ X1 @ X0) @ X1))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl58])).
% 5.25/1.32 thf(zip_derived_cl222, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ identity @ (divide @ identity @ X0))
% 5.25/1.32 = (divide @ (multiply @ X1 @ X0) @ X1))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl148])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl44, plain,
% 5.25/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)],
% 5.25/1.32 [zip_derived_cl42, zip_derived_cl3, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl228, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 5.25/1.32 inference('demod', [status(thm)],
% 5.25/1.32 [zip_derived_cl222, zip_derived_cl1, zip_derived_cl44])).
% 5.25/1.32 thf(zip_derived_cl228, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 5.25/1.32 inference('demod', [status(thm)],
% 5.25/1.32 [zip_derived_cl222, zip_derived_cl1, zip_derived_cl44])).
% 5.25/1.32 thf(zip_derived_cl58, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl44])).
% 5.25/1.32 thf(zip_derived_cl231, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl58])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl247, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ (multiply @ X0 @ (divide @ identity @ X1)) @ X1) = (X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl58, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl44])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl65, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X1 @ (divide @ identity @ X0)) = (divide @ X1 @ X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl254, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl65])).
% 5.25/1.32 thf(zip_derived_cl268, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl254])).
% 5.25/1.32 thf(zip_derived_cl271, plain,
% 5.25/1.32 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 5.25/1.32 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl268])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl58, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl44])).
% 5.25/1.32 thf(zip_derived_cl68, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ X1 @ (multiply @ X1 @ X0)) = (divide @ identity @ X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl58])).
% 5.25/1.32 thf(zip_derived_cl9, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.25/1.32 ((divide @
% 5.25/1.32 (divide @ identity @
% 5.25/1.32 (multiply @ (divide @ X0 @ X2) @
% 5.25/1.32 (divide @ (divide @ (divide @ X3 @ X0) @ X1) @ X3))) @
% 5.25/1.32 X2) = (X1))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl103, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ identity @ (divide @ (divide @ X1 @ X0) @ X1)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)],
% 5.25/1.32 [zip_derived_cl84, zip_derived_cl67, zip_derived_cl67])).
% 5.25/1.32 thf(zip_derived_cl164, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.25/1.32 ((divide @ identity @
% 5.25/1.32 (divide @ X0 @
% 5.25/1.32 (divide @ identity @
% 5.25/1.32 (multiply @ (divide @ X3 @ X1) @
% 5.25/1.32 (divide @ (divide @ (divide @ X2 @ X3) @ X0) @ X2)))))
% 5.25/1.32 = (X1))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl103])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl168, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.25/1.32 ((divide @ identity @
% 5.25/1.32 (multiply @ X0 @
% 5.25/1.32 (multiply @ (divide @ X3 @ X1) @
% 5.25/1.32 (divide @ (divide @ (divide @ X2 @ X3) @ X0) @ X2))))
% 5.25/1.32 = (X1))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl164, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl0, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((divide @
% 5.25/1.32 (divide @ identity @
% 5.25/1.32 (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @
% 5.25/1.32 X2) = (X0))),
% 5.25/1.32 inference('cnf', [status(esa)], [single_axiom])).
% 5.25/1.32 thf(zip_derived_cl0, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((divide @
% 5.25/1.32 (divide @ identity @
% 5.25/1.32 (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @
% 5.25/1.32 X2) = (X0))),
% 5.25/1.32 inference('cnf', [status(esa)], [single_axiom])).
% 5.25/1.32 thf(zip_derived_cl6, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((divide @ (divide @ identity @ (divide @ X0 @ identity)) @ X2)
% 5.25/1.32 = (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.25/1.32 thf(zip_derived_cl67, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl58])).
% 5.25/1.32 thf(zip_derived_cl71, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((divide @ (divide @ identity @ X0) @ X2)
% 5.25/1.32 = (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl67])).
% 5.25/1.32 thf(zip_derived_cl58, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl44])).
% 5.25/1.32 thf(zip_derived_cl148, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ identity @ X0) = (divide @ (divide @ X1 @ X0) @ X1))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl58])).
% 5.25/1.32 thf(zip_derived_cl223, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ identity @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl148])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl1183, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((multiply @ X2 @ (divide @ X0 @ X1))
% 5.25/1.32 = (divide @ X2 @ (divide @ X1 @ X0)))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl1183, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((multiply @ X2 @ (divide @ X0 @ X1))
% 5.25/1.32 = (divide @ X2 @ (divide @ X1 @ X0)))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl223, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((divide @ identity @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl148])).
% 5.25/1.32 thf(zip_derived_cl1584, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.25/1.32 ((divide @ (divide @ (multiply @ X0 @ X3) @ (divide @ X3 @ X1)) @ X0)
% 5.25/1.32 = (X1))),
% 5.25/1.32 inference('demod', [status(thm)],
% 5.25/1.32 [zip_derived_cl168, zip_derived_cl71, zip_derived_cl1183,
% 5.25/1.32 zip_derived_cl1, zip_derived_cl1183, zip_derived_cl223])).
% 5.25/1.32 thf(zip_derived_cl1605, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((divide @
% 5.25/1.32 (divide @ (multiply @ X2 @ X1) @ (divide @ identity @ X0)) @ X2)
% 5.25/1.32 = (multiply @ X1 @ X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl1584])).
% 5.25/1.32 thf(zip_derived_cl1, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]:
% 5.25/1.32 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 5.25/1.32 inference('cnf', [status(esa)], [multiply])).
% 5.25/1.32 thf(zip_derived_cl1633, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((divide @ (multiply @ (multiply @ X2 @ X1) @ X0) @ X2)
% 5.25/1.32 = (multiply @ X1 @ X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl1605, zip_derived_cl1])).
% 5.25/1.32 thf(zip_derived_cl58, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl44])).
% 5.25/1.32 thf(zip_derived_cl254, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl65])).
% 5.25/1.32 thf(zip_derived_cl263, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ (divide @ X1 @ X0)) = (X1))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl254])).
% 5.25/1.32 thf(zip_derived_cl1705, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 5.25/1.32 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)],
% 5.25/1.32 [zip_derived_cl1633, zip_derived_cl263])).
% 5.25/1.32 thf(zip_derived_cl268, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.25/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl254])).
% 5.25/1.32 thf(zip_derived_cl2899, plain,
% 5.25/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.25/1.32 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 5.25/1.32 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 5.25/1.32 inference('s_sup+', [status(thm)],
% 5.25/1.32 [zip_derived_cl1705, zip_derived_cl268])).
% 5.25/1.32 thf(zip_derived_cl2986, plain,
% 5.25/1.32 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 5.25/1.32 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.25/1.32 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl2899])).
% 5.25/1.32 thf(zip_derived_cl2987, plain, ($false),
% 5.25/1.32 inference('simplify', [status(thm)], [zip_derived_cl2986])).
% 5.25/1.32
% 5.25/1.32 % SZS output end Refutation
% 5.25/1.32
% 5.25/1.32
% 5.25/1.32 % Terminating...
% 5.86/1.38 % Runner terminated.
% 5.86/1.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------