%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP456-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I7gEnfHiDD true
% Computer : n021.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 04:36:29 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.86s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP456-1 : TPTP v9.2.0. Released v2.6.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I7gEnfHiDD true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 14:18:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.86 % Solved by fo/fo5.sh.
% 0.59/0.86 % done 161 iterations in 0.082s
% 0.59/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.86 % SZS output start Refutation
% 0.59/0.86 thf(c3_type, type, c3: $i).
% 0.59/0.86 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.86 thf(b3_type, type, b3: $i).
% 0.59/0.86 thf(a3_type, type, a3: $i).
% 0.59/0.86 thf(identity_type, type, identity: $i).
% 0.59/0.86 thf(divide_type, type, divide: $i > $i > $i).
% 0.59/0.86 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.86 thf(prove_these_axioms_3, conjecture,
% 0.59/0.86 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 0.59/0.86 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 0.59/0.86 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.86 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.59/0.86 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 0.59/0.86 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 0.59/0.86 thf(zip_derived_cl4, plain,
% 0.59/0.86 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.59/0.86 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.59/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.86 thf(identity, axiom, (( identity ) = ( divide @ A @ A ))).
% 0.59/0.86 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [identity])).
% 0.59/0.86 thf(inverse, axiom, (( inverse @ A ) = ( divide @ identity @ A ))).
% 0.59/0.86 thf(zip_derived_cl2, plain,
% 0.59/0.86 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [inverse])).
% 0.59/0.86 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.59/0.86 thf(single_axiom, axiom,
% 0.59/0.86 (( divide @
% 0.59/0.86 ( divide @
% 0.59/0.86 identity @
% 0.59/0.86 ( divide @
% 0.59/0.86 A @
% 0.59/0.86 ( divide @ B @ ( divide @ ( divide @ ( divide @ A @ A ) @ A ) @ C ) ) ) ) @
% 0.59/0.86 C ) =
% 0.59/0.86 ( B ))).
% 0.59/0.86 thf(zip_derived_cl0, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (divide @ identity @
% 0.59/0.86 (divide @ X1 @
% 0.59/0.86 (divide @ X0 @ (divide @ (divide @ (divide @ X1 @ X1) @ X1) @ X2)))) @
% 0.59/0.86 X2) = (X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.86 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [identity])).
% 0.59/0.86 thf(zip_derived_cl2, plain,
% 0.59/0.86 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [inverse])).
% 0.59/0.86 thf(zip_derived_cl2, plain,
% 0.59/0.86 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [inverse])).
% 0.59/0.86 thf(zip_derived_cl9, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (inverse @
% 0.59/0.86 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 0.59/0.86 X2) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 0.59/0.86 zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl23, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (inverse @
% 0.59/0.86 (divide @ identity @ (divide @ X0 @ (divide @ identity @ X1)))) @
% 0.59/0.86 X1) = (X0))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl9])).
% 0.59/0.86 thf(zip_derived_cl2, plain,
% 0.59/0.86 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [inverse])).
% 0.59/0.86 thf(multiply, axiom,
% 0.59/0.86 (( multiply @ A @ B ) = ( divide @ A @ ( divide @ identity @ B ) ))).
% 0.59/0.86 thf(zip_derived_cl1, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.59/0.86 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.86 thf(zip_derived_cl2, plain,
% 0.59/0.86 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [inverse])).
% 0.59/0.86 thf(zip_derived_cl6, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl2, plain,
% 0.59/0.86 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [inverse])).
% 0.59/0.86 thf(zip_derived_cl24, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((divide @ (inverse @ (inverse @ (multiply @ X0 @ X1))) @ X1) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl23, zip_derived_cl2, zip_derived_cl6,
% 0.59/0.86 zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [identity])).
% 0.59/0.86 thf(zip_derived_cl9, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (inverse @
% 0.59/0.86 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 0.59/0.86 X2) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 0.59/0.86 zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl9, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (inverse @
% 0.59/0.86 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 0.59/0.86 X2) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 0.59/0.86 zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl10, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.86 ((divide @ (inverse @ (divide @ X2 @ X0)) @ X1)
% 0.59/0.86 = (inverse @
% 0.59/0.86 (divide @ X3 @
% 0.59/0.86 (divide @ X0 @
% 0.59/0.86 (divide @ (inverse @ X3) @ (divide @ (inverse @ X2) @ X1))))))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl9])).
% 0.59/0.86 thf(zip_derived_cl41, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (inverse @
% 0.59/0.86 (divide @ X1 @
% 0.59/0.86 (divide @ (inverse @ X2) @ (divide @ (inverse @ X1) @ X0)))) @
% 0.59/0.86 X0) = (inverse @ (divide @ X2 @ identity)))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 0.59/0.86 thf(zip_derived_cl9, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (inverse @
% 0.59/0.86 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 0.59/0.86 X2) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 0.59/0.86 zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl6, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl22, plain,
% 0.59/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 0.59/0.86 thf(zip_derived_cl54, plain,
% 0.59/0.86 (![X2 : $i]: ((inverse @ X2) = (inverse @ (multiply @ X2 @ identity)))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl41, zip_derived_cl9, zip_derived_cl22])).
% 0.59/0.86 thf(zip_derived_cl24, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((divide @ (inverse @ (inverse @ (multiply @ X0 @ X1))) @ X1) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl23, zip_derived_cl2, zip_derived_cl6,
% 0.59/0.86 zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl22, plain,
% 0.59/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 0.59/0.86 thf(zip_derived_cl97, plain,
% 0.59/0.86 (![X0 : $i]:
% 0.59/0.86 ((multiply @ (inverse @ (inverse @ (multiply @ X0 @ identity))) @
% 0.59/0.86 identity) = (X0))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl22])).
% 0.59/0.86 thf(zip_derived_cl54, plain,
% 0.59/0.86 (![X2 : $i]: ((inverse @ X2) = (inverse @ (multiply @ X2 @ identity)))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl41, zip_derived_cl9, zip_derived_cl22])).
% 0.59/0.86 thf(zip_derived_cl112, plain,
% 0.59/0.86 (![X0 : $i]: ((multiply @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl54])).
% 0.59/0.86 thf(zip_derived_cl119, plain,
% 0.59/0.86 (![X0 : $i]:
% 0.59/0.86 ((multiply @ (inverse @ (inverse @ X0)) @ identity)
% 0.59/0.86 = (multiply @ X0 @ identity))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl112])).
% 0.59/0.86 thf(zip_derived_cl112, plain,
% 0.59/0.86 (![X0 : $i]: ((multiply @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl54])).
% 0.59/0.86 thf(zip_derived_cl121, plain,
% 0.59/0.86 (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl112])).
% 0.59/0.86 thf(zip_derived_cl112, plain,
% 0.59/0.86 (![X0 : $i]: ((multiply @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl54])).
% 0.59/0.86 thf(zip_derived_cl127, plain,
% 0.59/0.86 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl112])).
% 0.59/0.86 thf(zip_derived_cl139, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl127])).
% 0.59/0.86 thf(zip_derived_cl6, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl9, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (inverse @
% 0.59/0.86 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 0.59/0.86 X2) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 0.59/0.86 zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl6, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl11, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @
% 0.59/0.86 (inverse @
% 0.59/0.86 (divide @ X2 @
% 0.59/0.86 (divide @ X0 @ (divide @ (inverse @ X2) @ (inverse @ X1))))) @
% 0.59/0.86 X1) = (X0))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 0.59/0.86 thf(zip_derived_cl6, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl21, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @
% 0.59/0.86 (inverse @
% 0.59/0.86 (divide @ X2 @ (divide @ X0 @ (multiply @ (inverse @ X2) @ X1)))) @
% 0.59/0.86 X1) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl6])).
% 0.59/0.86 thf(zip_derived_cl139, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl127])).
% 0.59/0.86 thf(zip_derived_cl6, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl203, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl6])).
% 0.59/0.86 thf(zip_derived_cl127, plain,
% 0.59/0.86 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl112])).
% 0.59/0.86 thf(zip_derived_cl6, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl143, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl6])).
% 0.59/0.86 thf(zip_derived_cl225, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl143])).
% 0.59/0.86 thf(zip_derived_cl22, plain,
% 0.59/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 0.59/0.86 thf(zip_derived_cl121, plain,
% 0.59/0.86 (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl112])).
% 0.59/0.86 thf(zip_derived_cl122, plain,
% 0.59/0.86 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl121])).
% 0.59/0.86 thf(zip_derived_cl9, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (inverse @
% 0.59/0.86 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 0.59/0.86 X2) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl0, zip_derived_cl3, zip_derived_cl2,
% 0.59/0.86 zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl130, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (inverse @ (divide @ X0 @ (divide @ X1 @ (inverse @ X0)))) @
% 0.59/0.86 identity) = (X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl9])).
% 0.59/0.86 thf(zip_derived_cl6, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.86 thf(zip_derived_cl122, plain,
% 0.59/0.86 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl121])).
% 0.59/0.86 thf(zip_derived_cl134, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((inverse @ (divide @ X0 @ (multiply @ X1 @ X0))) = (X1))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl130, zip_derived_cl6, zip_derived_cl122])).
% 0.59/0.86 thf(zip_derived_cl273, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl134])).
% 0.59/0.86 thf(zip_derived_cl401, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @
% 0.59/0.86 (divide @ (divide @ X0 @ (multiply @ (inverse @ X2) @ X1)) @ X2) @
% 0.59/0.86 X1) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl273])).
% 0.59/0.86 thf(zip_derived_cl410, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @
% 0.59/0.86 (multiply @
% 0.59/0.86 (divide @ X2 @ (multiply @ (inverse @ (inverse @ X0)) @ X1)) @ X0) @
% 0.59/0.86 X1) = (X2))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl401])).
% 0.59/0.86 thf(zip_derived_cl127, plain,
% 0.59/0.86 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl112])).
% 0.59/0.86 thf(zip_derived_cl426, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ (divide @ X2 @ (multiply @ X0 @ X1)) @ X0) @
% 0.59/0.86 X1) = (X2))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl410, zip_derived_cl127])).
% 0.59/0.86 thf(zip_derived_cl981, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 0.59/0.86 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl426])).
% 0.59/0.86 thf(zip_derived_cl1017, plain,
% 0.59/0.86 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 0.59/0.86 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl981])).
% 0.59/0.86 thf(zip_derived_cl1018, plain, ($false),
% 0.59/0.86 inference('simplify', [status(thm)], [zip_derived_cl1017])).
% 0.59/0.86
% 0.59/0.86 % SZS output end Refutation
% 0.59/0.86
% 0.59/0.86
% 0.59/0.86 % Terminating...
% 1.78/0.96 % Runner terminated.
% 1.78/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------