%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP485-1 : 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.pTmf2xaEUu true
% Computer : n016.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 04:36:32 PM UTC 2025
% Result : Unsatisfiable 0.47s 0.74s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : GRP485-1 : TPTP v9.2.0. Released v2.6.0.
% 0.07/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pTmf2xaEUu true
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 14:05:08 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.44/0.55 % Total configuration time : 435
% 0.44/0.55 % Estimated wc time : 1092
% 0.44/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.74 % Solved by fo/fo1_av.sh.
% 0.47/0.74 % done 35 iterations in 0.048s
% 0.47/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.74 % SZS output start Refutation
% 0.47/0.74 thf(identity_type, type, identity: $i).
% 0.47/0.74 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.47/0.74 thf(a2_type, type, a2: $i).
% 0.47/0.74 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.47/0.74 thf(inverse_type, type, inverse: $i > $i).
% 0.47/0.74 thf(prove_these_axioms_2, conjecture,
% 0.47/0.74 (( multiply @ identity @ a2 ) = ( a2 ))).
% 0.47/0.74 thf(zf_stmt_0, negated_conjecture, (( multiply @ identity @ a2 ) != ( a2 )),
% 0.47/0.74 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.47/0.74 thf(zip_derived_cl4, plain, (((multiply @ identity @ a2) != (a2))),
% 0.47/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.74 thf(multiply, axiom,
% 0.47/0.74 (( multiply @ A @ B ) =
% 0.47/0.74 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 0.47/0.74 thf(zip_derived_cl1, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((multiply @ X1 @ X0)
% 0.47/0.74 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.47/0.74 inference('cnf', [status(esa)], [multiply])).
% 0.47/0.74 thf(zip_derived_cl6, plain,
% 0.47/0.74 (((double_divide @ (double_divide @ a2 @ identity) @ identity) != (a2))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 0.47/0.74 thf(identity, axiom,
% 0.47/0.74 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 0.47/0.74 thf(zip_derived_cl3, plain,
% 0.47/0.74 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.47/0.74 inference('cnf', [status(esa)], [identity])).
% 0.47/0.74 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 0.47/0.74 thf(zip_derived_cl2, plain,
% 0.47/0.74 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.47/0.74 inference('cnf', [status(esa)], [inverse])).
% 0.47/0.74 thf(zip_derived_cl5, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl5, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl5, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.47/0.74 thf(single_axiom, axiom,
% 0.47/0.74 (( double_divide @
% 0.47/0.74 ( double_divide @
% 0.47/0.74 A @
% 0.47/0.74 ( double_divide @
% 0.47/0.74 ( double_divide @ ( double_divide @ A @ B ) @ C ) @
% 0.47/0.74 ( double_divide @ B @ identity ) ) ) @
% 0.47/0.74 ( double_divide @ identity @ identity ) ) =
% 0.47/0.74 ( C ))).
% 0.47/0.74 thf(zip_derived_cl0, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X1 @ X2) @ X0) @
% 0.47/0.74 (double_divide @ X2 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity)) = (X0))),
% 0.47/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.74 thf(zip_derived_cl11, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @ identity @ (double_divide @ X0 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @ (double_divide @ X1 @ X0) @ identity))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.47/0.74 thf(zip_derived_cl18, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @ (double_divide @ X0 @ identity) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @ (double_divide @ X0 @ identity) @ identity))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.47/0.74 thf(zip_derived_cl11, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @ identity @ (double_divide @ X0 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @ (double_divide @ X1 @ X0) @ identity))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.47/0.74 thf(zip_derived_cl0, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X1 @ X2) @ X0) @
% 0.47/0.74 (double_divide @ X2 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity)) = (X0))),
% 0.47/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.74 thf(zip_derived_cl0, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X1 @ X2) @ X0) @
% 0.47/0.74 (double_divide @ X2 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity)) = (X0))),
% 0.47/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.74 thf(zip_derived_cl9, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @ (double_divide @ X2 @ X0) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X2 @ identity) @ X1) @ X0) @
% 0.47/0.74 (double_divide @ X1 @ identity)))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.47/0.74 thf(zip_derived_cl29, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @ identity @ (double_divide @ X0 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X1 @ identity) @ identity) @
% 0.47/0.74 X0) @
% 0.47/0.74 identity))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl9])).
% 0.47/0.74 thf(zip_derived_cl11, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @ identity @ (double_divide @ X0 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @ (double_divide @ X1 @ X0) @ identity))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.47/0.74 thf(zip_derived_cl39, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((double_divide @ (double_divide @ X1 @ X0) @ identity)
% 0.47/0.74 = (double_divide @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X1 @ identity) @ identity) @
% 0.47/0.74 X0) @
% 0.47/0.74 identity))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl11])).
% 0.47/0.74 thf(zip_derived_cl62, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X0 @ (double_divide @ identity @ identity)) @
% 0.47/0.74 identity)
% 0.47/0.74 = (double_divide @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X0 @ identity) @ identity) @
% 0.47/0.74 identity) @
% 0.47/0.74 identity))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl39])).
% 0.47/0.74 thf(zip_derived_cl39, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((double_divide @ (double_divide @ X1 @ X0) @ identity)
% 0.47/0.74 = (double_divide @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X1 @ identity) @ identity) @
% 0.47/0.74 X0) @
% 0.47/0.74 identity))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl11])).
% 0.47/0.74 thf(zip_derived_cl67, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X0 @ (double_divide @ identity @ identity)) @
% 0.47/0.74 identity)
% 0.47/0.74 = (double_divide @ (double_divide @ X0 @ identity) @ identity))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl39])).
% 0.47/0.74 thf(zip_derived_cl88, plain,
% 0.47/0.74 (((double_divide @ identity @ identity)
% 0.47/0.74 = (double_divide @ (double_divide @ identity @ identity) @ identity))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl67])).
% 0.47/0.74 thf(zip_derived_cl5, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl103, plain,
% 0.47/0.74 (((identity)
% 0.47/0.74 = (double_divide @ (double_divide @ identity @ identity) @
% 0.47/0.74 (double_divide @ identity @ identity)))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl5])).
% 0.47/0.74 thf(zip_derived_cl0, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X1 @ X2) @ X0) @
% 0.47/0.74 (double_divide @ X2 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity)) = (X0))),
% 0.47/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.74 thf(zip_derived_cl117, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ identity @ identity) @
% 0.47/0.74 (double_divide @ (double_divide @ identity @ X0) @
% 0.47/0.74 (double_divide @ (double_divide @ identity @ identity) @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity)) = (X0))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 0.47/0.74 thf(zip_derived_cl88, plain,
% 0.47/0.74 (((double_divide @ identity @ identity)
% 0.47/0.74 = (double_divide @ (double_divide @ identity @ identity) @ identity))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl67])).
% 0.47/0.74 thf(zip_derived_cl122, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ identity @ identity) @
% 0.47/0.74 (double_divide @ (double_divide @ identity @ X0) @
% 0.47/0.74 (double_divide @ identity @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity)) = (X0))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl88])).
% 0.47/0.74 thf(zip_derived_cl103, plain,
% 0.47/0.74 (((identity)
% 0.47/0.74 = (double_divide @ (double_divide @ identity @ identity) @
% 0.47/0.74 (double_divide @ identity @ identity)))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl5])).
% 0.47/0.74 thf(zip_derived_cl0, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X1 @ X2) @ X0) @
% 0.47/0.74 (double_divide @ X2 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity)) = (X0))),
% 0.47/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.74 thf(zip_derived_cl119, plain,
% 0.47/0.74 (((double_divide @
% 0.47/0.74 (double_divide @ identity @
% 0.47/0.74 (double_divide @ identity @ (double_divide @ identity @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @ identity @ identity))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 0.47/0.74 thf(zip_derived_cl5, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl103, plain,
% 0.47/0.74 (((identity)
% 0.47/0.74 = (double_divide @ (double_divide @ identity @ identity) @
% 0.47/0.74 (double_divide @ identity @ identity)))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl5])).
% 0.47/0.74 thf(zip_derived_cl124, plain,
% 0.47/0.74 (((identity) = (double_divide @ identity @ identity))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl119, zip_derived_cl5, zip_derived_cl103])).
% 0.47/0.74 thf(zip_derived_cl124, plain,
% 0.47/0.74 (((identity) = (double_divide @ identity @ identity))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl119, zip_derived_cl5, zip_derived_cl103])).
% 0.47/0.74 thf(zip_derived_cl124, plain,
% 0.47/0.74 (((identity) = (double_divide @ identity @ identity))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl119, zip_derived_cl5, zip_derived_cl103])).
% 0.47/0.74 thf(zip_derived_cl171, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ identity @
% 0.47/0.74 (double_divide @ (double_divide @ identity @ X0) @ identity)) @
% 0.47/0.74 identity) = (X0))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl122, zip_derived_cl124, zip_derived_cl124,
% 0.47/0.74 zip_derived_cl124])).
% 0.47/0.74 thf(zip_derived_cl11, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @ identity @ (double_divide @ X0 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @ (double_divide @ X1 @ X0) @ identity))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.47/0.74 thf(zip_derived_cl124, plain,
% 0.47/0.74 (((identity) = (double_divide @ identity @ identity))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl119, zip_derived_cl5, zip_derived_cl103])).
% 0.47/0.74 thf(zip_derived_cl128, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @ identity @ (double_divide @ X0 @ identity))) @
% 0.47/0.74 identity) = (double_divide @ (double_divide @ X1 @ X0) @ identity))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl124])).
% 0.47/0.74 thf(zip_derived_cl171, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ identity @
% 0.47/0.74 (double_divide @ (double_divide @ identity @ X0) @ identity)) @
% 0.47/0.74 identity) = (X0))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl122, zip_derived_cl124, zip_derived_cl124,
% 0.47/0.74 zip_derived_cl124])).
% 0.47/0.74 thf(zip_derived_cl178, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ identity @
% 0.47/0.74 (double_divide @ (double_divide @ identity @ X0) @ identity)) @
% 0.47/0.74 identity)
% 0.47/0.74 = (double_divide @ identity @ (double_divide @ X0 @ identity)))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl171])).
% 0.47/0.74 thf(zip_derived_cl171, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ identity @
% 0.47/0.74 (double_divide @ (double_divide @ identity @ X0) @ identity)) @
% 0.47/0.74 identity) = (X0))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl122, zip_derived_cl124, zip_derived_cl124,
% 0.47/0.74 zip_derived_cl124])).
% 0.47/0.74 thf(zip_derived_cl183, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((X0) = (double_divide @ identity @ (double_divide @ X0 @ identity)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl171])).
% 0.47/0.74 thf(zip_derived_cl186, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @ (double_divide @ identity @ X0) @ identity) = (X0))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl183])).
% 0.47/0.74 thf(zip_derived_cl39, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((double_divide @ (double_divide @ X1 @ X0) @ identity)
% 0.47/0.74 = (double_divide @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X1 @ identity) @ identity) @
% 0.47/0.74 X0) @
% 0.47/0.74 identity))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl11])).
% 0.47/0.74 thf(zip_derived_cl0, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X1 @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X1 @ X2) @ X0) @
% 0.47/0.74 (double_divide @ X2 @ identity))) @
% 0.47/0.74 (double_divide @ identity @ identity)) = (X0))),
% 0.47/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.74 thf(zip_derived_cl9, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @ (double_divide @ X2 @ X0) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X2 @ identity) @ X1) @ X0) @
% 0.47/0.74 (double_divide @ X1 @ identity)))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.47/0.74 thf(zip_derived_cl32, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X2 @ (double_divide @ identity @ identity)) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @ X0 @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X2 @ identity) @ X1) @ X0) @
% 0.47/0.74 (double_divide @ X1 @ identity)) @
% 0.47/0.74 identity)))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 0.47/0.74 thf(zip_derived_cl9, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @ (double_divide @ X2 @ X0) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X2 @ identity) @ X1) @ X0) @
% 0.47/0.74 (double_divide @ X1 @ identity)))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.47/0.74 thf(zip_derived_cl41, plain,
% 0.47/0.74 (![X0 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ X2 @ (double_divide @ identity @ identity)) @
% 0.47/0.74 (double_divide @ identity @ identity))
% 0.47/0.74 = (double_divide @ X0 @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X2 @ X0) @
% 0.47/0.74 (double_divide @ identity @ identity)) @
% 0.47/0.74 identity)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl9])).
% 0.47/0.74 thf(zip_derived_cl124, plain,
% 0.47/0.74 (((identity) = (double_divide @ identity @ identity))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl119, zip_derived_cl5, zip_derived_cl103])).
% 0.47/0.74 thf(zip_derived_cl124, plain,
% 0.47/0.74 (((identity) = (double_divide @ identity @ identity))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl119, zip_derived_cl5, zip_derived_cl103])).
% 0.47/0.74 thf(zip_derived_cl124, plain,
% 0.47/0.74 (((identity) = (double_divide @ identity @ identity))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl119, zip_derived_cl5, zip_derived_cl103])).
% 0.47/0.74 thf(zip_derived_cl194, plain,
% 0.47/0.74 (![X0 : $i, X2 : $i]:
% 0.47/0.74 ((double_divide @ (double_divide @ X2 @ identity) @ identity)
% 0.47/0.74 = (double_divide @ X0 @
% 0.47/0.74 (double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X2 @ X0) @ identity) @
% 0.47/0.74 identity)))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl41, zip_derived_cl124, zip_derived_cl124,
% 0.47/0.74 zip_derived_cl124])).
% 0.47/0.74 thf(zip_derived_cl198, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X0 @ identity) @ identity) @
% 0.47/0.74 identity)
% 0.47/0.74 = (double_divide @ identity @
% 0.47/0.74 (double_divide @ (double_divide @ X0 @ identity) @ identity)))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl194])).
% 0.47/0.74 thf(zip_derived_cl183, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((X0) = (double_divide @ identity @ (double_divide @ X0 @ identity)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl171])).
% 0.47/0.74 thf(zip_derived_cl207, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @
% 0.47/0.74 (double_divide @ (double_divide @ X0 @ identity) @ identity) @
% 0.47/0.74 identity) = (double_divide @ X0 @ identity))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl183])).
% 0.47/0.74 thf(zip_derived_cl274, plain,
% 0.47/0.74 (![X0 : $i]:
% 0.47/0.74 ((double_divide @ (double_divide @ X0 @ identity) @ identity) = (X0))),
% 0.47/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl207])).
% 0.47/0.74 thf(zip_derived_cl285, plain, (((a2) != (a2))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl274])).
% 0.47/0.74 thf(zip_derived_cl286, plain, ($false),
% 0.47/0.74 inference('simplify', [status(thm)], [zip_derived_cl285])).
% 0.47/0.74
% 0.47/0.74 % SZS output end Refutation
% 0.47/0.74
% 0.47/0.74
% 0.47/0.74 % Terminating...
% 1.45/0.78 % Runner terminated.
% 1.45/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------