%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP568-1 : 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.SwB5wHsTA0 true
% Computer : n004.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 04:36:41 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.87s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP568-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SwB5wHsTA0 true
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 14:23:38 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % 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
% 0.14/0.35 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.87 % Solved by fo/fo6_bce.sh.
% 0.57/0.87 % BCE start: 5
% 0.57/0.87 % BCE eliminated: 0
% 0.57/0.87 % PE start: 5
% 0.57/0.87 logic: eq
% 0.57/0.87 % PE eliminated: 0
% 0.57/0.87 % done 67 iterations in 0.090s
% 0.57/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.87 % SZS output start Refutation
% 0.57/0.87 thf(identity_type, type, identity: $i).
% 0.57/0.87 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/0.87 thf(b_type, type, b: $i).
% 0.57/0.87 thf(a_type, type, a: $i).
% 0.57/0.87 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.57/0.87 thf(inverse_type, type, inverse: $i > $i).
% 0.57/0.87 thf(prove_these_axioms_4, conjecture,
% 0.57/0.87 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.57/0.87 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.87 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.57/0.87 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.57/0.87 thf(zip_derived_cl4, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.57/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.87 thf(multiply, axiom,
% 0.57/0.87 (( multiply @ A @ B ) =
% 0.57/0.87 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 0.57/0.87 thf(zip_derived_cl1, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i]:
% 0.57/0.87 ((multiply @ X1 @ X0)
% 0.57/0.87 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.57/0.87 inference('cnf', [status(esa)], [multiply])).
% 0.57/0.87 thf(zip_derived_cl1, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i]:
% 0.57/0.87 ((multiply @ X1 @ X0)
% 0.57/0.87 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.57/0.87 inference('cnf', [status(esa)], [multiply])).
% 0.57/0.87 thf(zip_derived_cl16, plain,
% 0.57/0.87 (((double_divide @ (double_divide @ b @ a) @ identity)
% 0.57/0.87 != (double_divide @ (double_divide @ a @ b) @ identity))),
% 0.57/0.87 inference('demod', [status(thm)],
% 0.57/0.87 [zip_derived_cl4, zip_derived_cl1, zip_derived_cl1])).
% 0.57/0.87 thf(identity, axiom,
% 0.57/0.87 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 0.57/0.87 thf(zip_derived_cl3, plain,
% 0.57/0.87 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.57/0.87 inference('cnf', [status(esa)], [identity])).
% 0.57/0.87 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 0.57/0.87 thf(zip_derived_cl2, plain,
% 0.57/0.87 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.57/0.87 inference('cnf', [status(esa)], [inverse])).
% 0.57/0.87 thf(zip_derived_cl5, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.57/0.87 thf(single_axiom, axiom,
% 0.57/0.87 (( double_divide @
% 0.57/0.87 ( double_divide @
% 0.57/0.87 A @
% 0.57/0.87 ( double_divide @
% 0.57/0.87 ( double_divide @ B @ ( double_divide @ A @ C ) ) @
% 0.57/0.87 ( double_divide @ identity @ C ) ) ) @
% 0.57/0.87 ( double_divide @ identity @ identity ) ) =
% 0.57/0.87 ( B ))).
% 0.57/0.87 thf(zip_derived_cl0, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ X1 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.57/0.87 (double_divide @ identity @ X2))) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X0))),
% 0.57/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.87 thf(zip_derived_cl9, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ X0 @
% 0.57/0.87 (double_divide @ identity @ (double_divide @ identity @ identity))) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X0))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.57/0.87 thf(zip_derived_cl5, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.57/0.87 thf(zip_derived_cl13, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ (double_divide @ X0 @ identity) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X0))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 0.57/0.87 thf(zip_derived_cl5, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.57/0.87 thf(zip_derived_cl13, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ (double_divide @ X0 @ identity) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X0))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 0.57/0.87 thf(zip_derived_cl0, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ X1 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.57/0.87 (double_divide @ identity @ X2))) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X0))),
% 0.57/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.87 thf(zip_derived_cl18, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ identity @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ identity @ identity))) @
% 0.57/0.87 (double_divide @ identity @ identity))
% 0.57/0.87 = (double_divide @ X0 @ identity))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 0.57/0.87 thf(zip_derived_cl24, plain,
% 0.57/0.87 (((double_divide @ (double_divide @ identity @ identity) @
% 0.57/0.87 (double_divide @ identity @ identity))
% 0.57/0.87 = (double_divide @ identity @ identity))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl18])).
% 0.57/0.87 thf(zip_derived_cl13, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ (double_divide @ X0 @ identity) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X0))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 0.57/0.87 thf(zip_derived_cl28, plain,
% 0.57/0.87 (((identity) = (double_divide @ identity @ identity))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl13])).
% 0.57/0.87 thf(zip_derived_cl52, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ (double_divide @ X0 @ identity) @ identity) = (X0))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl28])).
% 0.57/0.87 thf(zip_derived_cl0, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ X1 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.57/0.87 (double_divide @ identity @ X2))) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X0))),
% 0.57/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.87 thf(zip_derived_cl0, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ X1 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.57/0.87 (double_divide @ identity @ X2))) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X0))),
% 0.57/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.87 thf(zip_derived_cl12, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X3 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X3 @ X2)) @
% 0.57/0.87 (double_divide @ identity @ X2))) @
% 0.57/0.87 (double_divide @ (double_divide @ X1 @ X0) @
% 0.57/0.87 (double_divide @ identity @ (double_divide @ identity @ identity)))) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X1))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.87 thf(zip_derived_cl5, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.57/0.87 thf(zip_derived_cl14, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X3 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X3 @ X2)) @
% 0.57/0.87 (double_divide @ identity @ X2))) @
% 0.57/0.87 (double_divide @ (double_divide @ X1 @ X0) @ identity)) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X1))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl5])).
% 0.57/0.87 thf(zip_derived_cl0, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ X1 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.57/0.87 (double_divide @ identity @ X2))) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X0))),
% 0.57/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.87 thf(zip_derived_cl0, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ X1 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.57/0.87 (double_divide @ identity @ X2))) @
% 0.57/0.87 (double_divide @ identity @ identity)) = (X0))),
% 0.57/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.87 thf(zip_derived_cl7, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ identity @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ identity @ identity))) @
% 0.57/0.87 (double_divide @ identity @ identity))
% 0.57/0.87 = (double_divide @ X2 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X2 @ X1)) @
% 0.57/0.87 (double_divide @ identity @ X1))))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.87 thf(zip_derived_cl18, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ identity @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ identity @ identity))) @
% 0.57/0.87 (double_divide @ identity @ identity))
% 0.57/0.87 = (double_divide @ X0 @ identity))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 0.57/0.87 thf(zip_derived_cl31, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @ X0 @ identity)
% 0.57/0.87 = (double_divide @ X2 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X2 @ X1)) @
% 0.57/0.87 (double_divide @ identity @ X1))))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl18])).
% 0.57/0.87 thf(zip_derived_cl28, plain,
% 0.57/0.87 (((identity) = (double_divide @ identity @ identity))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl13])).
% 0.57/0.87 thf(zip_derived_cl57, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ (double_divide @ X0 @ identity) @
% 0.57/0.87 (double_divide @ (double_divide @ X1 @ X0) @ identity)) @
% 0.57/0.87 identity) = (X1))),
% 0.57/0.87 inference('demod', [status(thm)],
% 0.57/0.87 [zip_derived_cl14, zip_derived_cl31, zip_derived_cl28])).
% 0.57/0.87 thf(zip_derived_cl81, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @
% 0.57/0.87 (double_divide @ (double_divide @ identity @ identity) @ X0) @
% 0.57/0.87 identity) = (X0))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl57])).
% 0.57/0.87 thf(zip_derived_cl28, plain,
% 0.57/0.87 (((identity) = (double_divide @ identity @ identity))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl13])).
% 0.57/0.87 thf(zip_derived_cl87, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ (double_divide @ identity @ X0) @ identity) = (X0))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl28])).
% 0.57/0.87 thf(zip_derived_cl52, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ (double_divide @ X0 @ identity) @ identity) = (X0))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl28])).
% 0.57/0.87 thf(zip_derived_cl112, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ X0 @ identity) = (double_divide @ identity @ X0))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl52])).
% 0.57/0.87 thf(zip_derived_cl112, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ X0 @ identity) = (double_divide @ identity @ X0))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl52])).
% 0.57/0.87 thf(zip_derived_cl126, plain,
% 0.57/0.87 (((double_divide @ identity @ (double_divide @ b @ a))
% 0.57/0.87 != (double_divide @ identity @ (double_divide @ a @ b)))),
% 0.57/0.87 inference('demod', [status(thm)],
% 0.57/0.87 [zip_derived_cl16, zip_derived_cl112, zip_derived_cl112])).
% 0.57/0.87 thf(zip_derived_cl52, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ (double_divide @ X0 @ identity) @ identity) = (X0))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl28])).
% 0.57/0.87 thf(zip_derived_cl31, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @ X0 @ identity)
% 0.57/0.87 = (double_divide @ X2 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X2 @ X1)) @
% 0.57/0.87 (double_divide @ identity @ X1))))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl18])).
% 0.57/0.87 thf(zip_derived_cl31, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @ X0 @ identity)
% 0.57/0.87 = (double_divide @ X2 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X2 @ X1)) @
% 0.57/0.87 (double_divide @ identity @ X1))))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl18])).
% 0.57/0.87 thf(zip_derived_cl34, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @ X2 @ identity)
% 0.57/0.87 = (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X2 @ X1)) @
% 0.57/0.87 (double_divide @ (double_divide @ X0 @ identity) @
% 0.57/0.87 (double_divide @ identity @ (double_divide @ identity @ X1)))))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl31])).
% 0.57/0.87 thf(zip_derived_cl112, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ X0 @ identity) = (double_divide @ identity @ X0))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl52])).
% 0.57/0.87 thf(zip_derived_cl87, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ (double_divide @ identity @ X0) @ identity) = (X0))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl28])).
% 0.57/0.87 thf(zip_derived_cl141, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ identity @ (double_divide @ identity @ X0)) = (X0))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl87])).
% 0.57/0.87 thf(zip_derived_cl281, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @ X2 @ identity)
% 0.57/0.87 = (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X2 @ X1)) @
% 0.57/0.87 (double_divide @ (double_divide @ X0 @ identity) @ X1)))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl141])).
% 0.57/0.87 thf(zip_derived_cl315, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i]:
% 0.57/0.87 ((X0)
% 0.57/0.87 = (double_divide @ (double_divide @ X1 @ X0) @
% 0.57/0.87 (double_divide @ (double_divide @ X1 @ identity) @ identity)))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl281])).
% 0.57/0.87 thf(zip_derived_cl52, plain,
% 0.57/0.87 (![X0 : $i]:
% 0.57/0.87 ((double_divide @ (double_divide @ X0 @ identity) @ identity) = (X0))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl28])).
% 0.57/0.87 thf(zip_derived_cl336, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i]:
% 0.57/0.87 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl315, zip_derived_cl52])).
% 0.57/0.87 thf(zip_derived_cl31, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.87 ((double_divide @ X0 @ identity)
% 0.57/0.87 = (double_divide @ X2 @
% 0.57/0.87 (double_divide @
% 0.57/0.87 (double_divide @ X0 @ (double_divide @ X2 @ X1)) @
% 0.57/0.87 (double_divide @ identity @ X1))))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl18])).
% 0.57/0.87 thf(zip_derived_cl434, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i]:
% 0.57/0.87 ((double_divide @ (double_divide @ identity @ X0) @ identity)
% 0.57/0.87 = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl336, zip_derived_cl31])).
% 0.57/0.87 thf(zip_derived_cl336, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i]:
% 0.57/0.87 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl315, zip_derived_cl52])).
% 0.57/0.87 thf(zip_derived_cl456, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i]:
% 0.57/0.87 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl434, zip_derived_cl336])).
% 0.57/0.87 thf(zip_derived_cl336, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i]:
% 0.57/0.87 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl315, zip_derived_cl52])).
% 0.57/0.87 thf(zip_derived_cl550, plain,
% 0.57/0.87 (![X0 : $i, X1 : $i]:
% 0.57/0.87 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 0.57/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl456, zip_derived_cl336])).
% 0.57/0.87 thf(zip_derived_cl594, plain,
% 0.57/0.87 (((double_divide @ identity @ (double_divide @ a @ b))
% 0.57/0.87 != (double_divide @ identity @ (double_divide @ a @ b)))),
% 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl550])).
% 0.57/0.87 thf(zip_derived_cl595, plain, ($false),
% 0.57/0.87 inference('simplify', [status(thm)], [zip_derived_cl594])).
% 0.57/0.87
% 0.57/0.87 % SZS output end Refutation
% 0.57/0.87
% 0.57/0.87
% 0.57/0.87 % Terminating...
% 1.80/0.94 % Runner terminated.
% 1.80/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------