TSTP Solution File: CAT003-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT003-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CMrOqVm3O1 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 : Wed Aug 30 18:20:51 EDT 2023
% Result : Unsatisfiable 1.37s 0.90s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : CAT003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CMrOqVm3O1 true
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun Aug 27 00:10:38 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.22/0.37 % Running in FO mode
% 0.22/0.70 % Total configuration time : 435
% 0.22/0.70 % Estimated wc time : 1092
% 0.22/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.30/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.30/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.90 % Solved by fo/fo4.sh.
% 1.37/0.90 % done 90 iterations in 0.075s
% 1.37/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.90 % SZS output start Refutation
% 1.37/0.90 thf(compose_type, type, compose: $i > $i > $i).
% 1.37/0.90 thf(a_type, type, a: $i).
% 1.37/0.90 thf(codomain_type, type, codomain: $i > $i).
% 1.37/0.90 thf(domain_type, type, domain: $i > $i).
% 1.37/0.90 thf(g_type, type, g: $i).
% 1.37/0.90 thf(h_type, type, h: $i).
% 1.37/0.90 thf(b_type, type, b: $i).
% 1.37/0.90 thf(codomain_domain2, axiom,
% 1.37/0.90 (( ( codomain @ X ) != ( domain @ Y ) ) |
% 1.37/0.90 ( ( codomain @ ( compose @ X @ Y ) ) = ( codomain @ Y ) ))).
% 1.37/0.90 thf(zip_derived_cl5, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ X1) != (domain @ X0))
% 1.37/0.90 | ((codomain @ (compose @ X1 @ X0)) = (codomain @ X0)))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_domain2])).
% 1.37/0.90 thf(bh_equals_bg, axiom, (( compose @ b @ h ) = ( compose @ b @ g ))).
% 1.37/0.90 thf(zip_derived_cl11, plain, (((compose @ b @ h) = (compose @ b @ g))),
% 1.37/0.90 inference('cnf', [status(esa)], [bh_equals_bg])).
% 1.37/0.90 thf(star_property, axiom,
% 1.37/0.90 (( ( codomain @ X ) != ( domain @ Y ) ) |
% 1.37/0.90 ( ( codomain @ Y ) != ( domain @ Z ) ) |
% 1.37/0.90 ( ( compose @ X @ ( compose @ Y @ Z ) ) =
% 1.37/0.90 ( compose @ ( compose @ X @ Y ) @ Z ) ))).
% 1.37/0.90 thf(zip_derived_cl6, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.90 (((codomain @ X1) != (domain @ X0))
% 1.37/0.90 | ((codomain @ X0) != (domain @ X2))
% 1.37/0.90 | ((compose @ X1 @ (compose @ X0 @ X2))
% 1.37/0.90 = (compose @ (compose @ X1 @ X0) @ X2)))),
% 1.37/0.90 inference('cnf', [status(esa)], [star_property])).
% 1.37/0.90 thf(zip_derived_cl6, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.90 (((codomain @ X1) != (domain @ X0))
% 1.37/0.90 | ((codomain @ X0) != (domain @ X2))
% 1.37/0.90 | ((compose @ X1 @ (compose @ X0 @ X2))
% 1.37/0.90 = (compose @ (compose @ X1 @ X0) @ X2)))),
% 1.37/0.90 inference('cnf', [status(esa)], [star_property])).
% 1.37/0.90 thf(endomorphism, axiom,
% 1.37/0.90 (( ( codomain @ ( compose @ a @ b ) ) != ( domain @ X ) ) |
% 1.37/0.90 ( ( compose @ ( compose @ a @ b ) @ X ) != ( Y ) ) |
% 1.37/0.90 ( ( codomain @ ( compose @ a @ b ) ) != ( domain @ Z ) ) |
% 1.37/0.90 ( ( compose @ ( compose @ a @ b ) @ Z ) != ( Y ) ) | ( ( X ) = ( Z ) ))).
% 1.37/0.90 thf(zip_derived_cl7, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.90 (((codomain @ (compose @ a @ b)) != (domain @ X0))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X0) != (X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X2))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X2) != (X1))
% 1.37/0.90 | ((X0) = (X2)))),
% 1.37/0.90 inference('cnf', [status(esa)], [endomorphism])).
% 1.37/0.90 thf(zip_derived_cl156, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.90 (((compose @ a @ (compose @ b @ X0)) != (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X0))
% 1.37/0.90 | ((codomain @ a) != (domain @ b))
% 1.37/0.90 | ((X0) = (X2))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X2) != (X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X2))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X0)))),
% 1.37/0.90 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 1.37/0.90 thf(codomain_of_a_equals_domain_of_b, axiom,
% 1.37/0.90 (( codomain @ a ) = ( domain @ b ))).
% 1.37/0.90 thf(zip_derived_cl8, plain, (((codomain @ a) = (domain @ b))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_of_a_equals_domain_of_b])).
% 1.37/0.90 thf(zip_derived_cl183, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.90 (((compose @ a @ (compose @ b @ X0)) != (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X0))
% 1.37/0.90 | ((domain @ b) != (domain @ b))
% 1.37/0.90 | ((X0) = (X2))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X2) != (X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X2))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X0)))),
% 1.37/0.90 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl8])).
% 1.37/0.90 thf(zip_derived_cl184, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.90 (((codomain @ (compose @ a @ b)) != (domain @ X0))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X2))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X2) != (X1))
% 1.37/0.90 | ((X0) = (X2))
% 1.37/0.90 | ((codomain @ b) != (domain @ X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X0)) != (X1)))),
% 1.37/0.90 inference('simplify', [status(thm)], [zip_derived_cl183])).
% 1.37/0.90 thf(zip_derived_cl352, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.90 (((compose @ a @ (compose @ b @ X0)) != (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X0))
% 1.37/0.90 | ((codomain @ a) != (domain @ b))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X2)) != (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X2))
% 1.37/0.90 | ((X2) = (X0))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X0))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X2)))),
% 1.37/0.90 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl184])).
% 1.37/0.90 thf(zip_derived_cl8, plain, (((codomain @ a) = (domain @ b))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_of_a_equals_domain_of_b])).
% 1.37/0.90 thf(zip_derived_cl356, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.90 (((compose @ a @ (compose @ b @ X0)) != (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X0))
% 1.37/0.90 | ((domain @ b) != (domain @ b))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X2)) != (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X2))
% 1.37/0.90 | ((X2) = (X0))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X0))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X2)))),
% 1.37/0.90 inference('demod', [status(thm)], [zip_derived_cl352, zip_derived_cl8])).
% 1.37/0.90 thf(zip_derived_cl357, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.90 (((codomain @ (compose @ a @ b)) != (domain @ X2))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X0))
% 1.37/0.90 | ((X2) = (X0))
% 1.37/0.90 | ((codomain @ b) != (domain @ X2))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X2)) != (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X0)) != (X1)))),
% 1.37/0.90 inference('simplify', [status(thm)], [zip_derived_cl356])).
% 1.37/0.90 thf(zip_derived_cl366, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((compose @ a @ (compose @ b @ g)) != (X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X1)) != (X0))
% 1.37/0.90 | ((codomain @ b) != (domain @ X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ h))
% 1.37/0.90 | ((h) = (X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ h)))),
% 1.37/0.90 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl357])).
% 1.37/0.90 thf(codomain_of_b_equals_domain_of_h, axiom,
% 1.37/0.90 (( codomain @ b ) = ( domain @ h ))).
% 1.37/0.90 thf(zip_derived_cl9, plain, (((codomain @ b) = (domain @ h))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_of_b_equals_domain_of_h])).
% 1.37/0.90 thf(zip_derived_cl9, plain, (((codomain @ b) = (domain @ h))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_of_b_equals_domain_of_h])).
% 1.37/0.90 thf(zip_derived_cl370, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((compose @ a @ (compose @ b @ g)) != (X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X1)) != (X0))
% 1.37/0.90 | ((codomain @ b) != (domain @ X1))
% 1.37/0.90 | ((codomain @ b) != (codomain @ b))
% 1.37/0.90 | ((h) = (X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (codomain @ b)))),
% 1.37/0.90 inference('demod', [status(thm)],
% 1.37/0.90 [zip_derived_cl366, zip_derived_cl9, zip_derived_cl9])).
% 1.37/0.90 thf(zip_derived_cl371, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ (compose @ a @ b)) != (codomain @ b))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X1))
% 1.37/0.90 | ((h) = (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X1))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X1)) != (X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ g)) != (X0)))),
% 1.37/0.90 inference('simplify', [status(thm)], [zip_derived_cl370])).
% 1.37/0.90 thf(zip_derived_cl372, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ b) != (codomain @ b))
% 1.37/0.90 | ((codomain @ a) != (domain @ b))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ g)) != (X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X1)) != (X0))
% 1.37/0.90 | ((codomain @ b) != (domain @ X1))
% 1.37/0.90 | ((h) = (X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X1)))),
% 1.37/0.90 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl371])).
% 1.37/0.90 thf(zip_derived_cl8, plain, (((codomain @ a) = (domain @ b))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_of_a_equals_domain_of_b])).
% 1.37/0.90 thf(zip_derived_cl373, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ b) != (codomain @ b))
% 1.37/0.90 | ((domain @ b) != (domain @ b))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ g)) != (X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X1)) != (X0))
% 1.37/0.90 | ((codomain @ b) != (domain @ X1))
% 1.37/0.90 | ((h) = (X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X1)))),
% 1.37/0.90 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl8])).
% 1.37/0.90 thf(zip_derived_cl374, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ (compose @ a @ b)) != (domain @ X1))
% 1.37/0.90 | ((h) = (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X1))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X1)) != (X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ g)) != (X0)))),
% 1.37/0.90 inference('simplify', [status(thm)], [zip_derived_cl373])).
% 1.37/0.90 thf(codomain_composition, axiom,
% 1.37/0.90 (( compose @ X @ ( codomain @ X ) ) = ( X ))).
% 1.37/0.90 thf(zip_derived_cl3, plain,
% 1.37/0.90 (![X0 : $i]: ((compose @ X0 @ (codomain @ X0)) = (X0))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_composition])).
% 1.37/0.90 thf(zip_derived_cl5, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ X1) != (domain @ X0))
% 1.37/0.90 | ((codomain @ (compose @ X1 @ X0)) = (codomain @ X0)))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_domain2])).
% 1.37/0.90 thf(zip_derived_cl5, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ X1) != (domain @ X0))
% 1.37/0.90 | ((codomain @ (compose @ X1 @ X0)) = (codomain @ X0)))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_domain2])).
% 1.37/0.90 thf(zip_derived_cl3, plain,
% 1.37/0.90 (![X0 : $i]: ((compose @ X0 @ (codomain @ X0)) = (X0))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_composition])).
% 1.37/0.90 thf(zip_derived_cl118, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((compose @ (compose @ X1 @ X0) @ (codomain @ X0))
% 1.37/0.90 = (compose @ X1 @ X0))
% 1.37/0.90 | ((codomain @ X1) != (domain @ X0)))),
% 1.37/0.90 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 1.37/0.90 thf(zip_derived_cl7, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.90 (((codomain @ (compose @ a @ b)) != (domain @ X0))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X0) != (X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X2))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X2) != (X1))
% 1.37/0.90 | ((X0) = (X2)))),
% 1.37/0.90 inference('cnf', [status(esa)], [endomorphism])).
% 1.37/0.90 thf(zip_derived_cl509, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((compose @ a @ b) != (X0))
% 1.37/0.90 | ((codomain @ a) != (domain @ b))
% 1.37/0.90 | ((codomain @ b) = (X1))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X1) != (X0))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ (codomain @ b))))),
% 1.37/0.90 inference('sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl7])).
% 1.37/0.90 thf(zip_derived_cl8, plain, (((codomain @ a) = (domain @ b))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_of_a_equals_domain_of_b])).
% 1.37/0.90 thf(domain_of_codomain_is_codomain, axiom,
% 1.37/0.90 (( domain @ ( codomain @ X ) ) = ( codomain @ X ))).
% 1.37/0.90 thf(zip_derived_cl1, plain,
% 1.37/0.90 (![X0 : $i]: ((domain @ (codomain @ X0)) = (codomain @ X0))),
% 1.37/0.90 inference('cnf', [status(esa)], [domain_of_codomain_is_codomain])).
% 1.37/0.90 thf(zip_derived_cl577, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((compose @ a @ b) != (X0))
% 1.37/0.90 | ((domain @ b) != (domain @ b))
% 1.37/0.90 | ((codomain @ b) = (X1))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X1) != (X0))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X1))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (codomain @ b)))),
% 1.37/0.90 inference('demod', [status(thm)],
% 1.37/0.90 [zip_derived_cl509, zip_derived_cl8, zip_derived_cl1])).
% 1.37/0.90 thf(zip_derived_cl578, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ (compose @ a @ b)) != (codomain @ b))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X1))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X1) != (X0))
% 1.37/0.90 | ((codomain @ b) = (X1))
% 1.37/0.90 | ((compose @ a @ b) != (X0)))),
% 1.37/0.90 inference('simplify', [status(thm)], [zip_derived_cl577])).
% 1.37/0.90 thf(zip_derived_cl662, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ b) != (codomain @ b))
% 1.37/0.90 | ((codomain @ a) != (domain @ b))
% 1.37/0.90 | ((compose @ a @ b) != (X0))
% 1.37/0.90 | ((codomain @ b) = (X1))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X1) != (X0))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X1)))),
% 1.37/0.90 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl578])).
% 1.37/0.90 thf(zip_derived_cl8, plain, (((codomain @ a) = (domain @ b))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_of_a_equals_domain_of_b])).
% 1.37/0.90 thf(zip_derived_cl663, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ b) != (codomain @ b))
% 1.37/0.90 | ((domain @ b) != (domain @ b))
% 1.37/0.90 | ((compose @ a @ b) != (X0))
% 1.37/0.90 | ((codomain @ b) = (X1))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X1) != (X0))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (domain @ X1)))),
% 1.37/0.90 inference('demod', [status(thm)], [zip_derived_cl662, zip_derived_cl8])).
% 1.37/0.90 thf(zip_derived_cl664, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ (compose @ a @ b)) != (domain @ X1))
% 1.37/0.90 | ((compose @ (compose @ a @ b) @ X1) != (X0))
% 1.37/0.90 | ((codomain @ b) = (X1))
% 1.37/0.90 | ((compose @ a @ b) != (X0)))),
% 1.37/0.90 inference('simplify', [status(thm)], [zip_derived_cl663])).
% 1.37/0.90 thf(zip_derived_cl665, plain,
% 1.37/0.90 (![X0 : $i]:
% 1.37/0.90 (((compose @ a @ b) != (X0))
% 1.37/0.90 | ((compose @ a @ b) != (X0))
% 1.37/0.90 | ((codomain @ b) = (codomain @ (compose @ a @ b)))
% 1.37/0.90 | ((codomain @ (compose @ a @ b))
% 1.37/0.90 != (domain @ (codomain @ (compose @ a @ b)))))),
% 1.37/0.90 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl664])).
% 1.37/0.90 thf(zip_derived_cl1, plain,
% 1.37/0.90 (![X0 : $i]: ((domain @ (codomain @ X0)) = (codomain @ X0))),
% 1.37/0.90 inference('cnf', [status(esa)], [domain_of_codomain_is_codomain])).
% 1.37/0.90 thf(zip_derived_cl670, plain,
% 1.37/0.90 (![X0 : $i]:
% 1.37/0.90 (((compose @ a @ b) != (X0))
% 1.37/0.90 | ((compose @ a @ b) != (X0))
% 1.37/0.90 | ((codomain @ b) = (codomain @ (compose @ a @ b)))
% 1.37/0.90 | ((codomain @ (compose @ a @ b)) != (codomain @ (compose @ a @ b))))),
% 1.37/0.90 inference('demod', [status(thm)], [zip_derived_cl665, zip_derived_cl1])).
% 1.37/0.90 thf(zip_derived_cl671, plain,
% 1.37/0.90 (![X0 : $i]:
% 1.37/0.90 (((codomain @ b) = (codomain @ (compose @ a @ b)))
% 1.37/0.90 | ((compose @ a @ b) != (X0)))),
% 1.37/0.90 inference('simplify', [status(thm)], [zip_derived_cl670])).
% 1.37/0.90 thf(zip_derived_cl676, plain,
% 1.37/0.90 (((codomain @ b) = (codomain @ (compose @ a @ b)))),
% 1.37/0.90 inference('eq_res', [status(thm)], [zip_derived_cl671])).
% 1.37/0.90 thf(zip_derived_cl714, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((codomain @ b) != (domain @ X1))
% 1.37/0.90 | ((h) = (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X1))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X1)) != (X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ g)) != (X0)))),
% 1.37/0.90 inference('demod', [status(thm)], [zip_derived_cl374, zip_derived_cl676])).
% 1.37/0.90 thf(zip_derived_cl715, plain,
% 1.37/0.90 (![X0 : $i, X1 : $i]:
% 1.37/0.90 (((compose @ a @ (compose @ b @ g)) != (X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X1)) != (X0))
% 1.37/0.90 | ((h) = (X1))
% 1.37/0.90 | ((codomain @ b) != (domain @ X1)))),
% 1.37/0.90 inference('simplify', [status(thm)], [zip_derived_cl714])).
% 1.37/0.90 thf(zip_derived_cl843, plain,
% 1.37/0.90 (![X0 : $i]:
% 1.37/0.90 (((codomain @ b) != (domain @ X0))
% 1.37/0.90 | ((h) = (X0))
% 1.37/0.90 | ((compose @ a @ (compose @ b @ X0))
% 1.37/0.90 != (compose @ a @ (compose @ b @ g))))),
% 1.37/0.90 inference('eq_res', [status(thm)], [zip_derived_cl715])).
% 1.37/0.90 thf(zip_derived_cl848, plain,
% 1.37/0.90 ((((h) = (g)) | ((codomain @ b) != (domain @ g)))),
% 1.37/0.90 inference('eq_res', [status(thm)], [zip_derived_cl843])).
% 1.37/0.90 thf(codomain_of_b_equals_domain_of_g, axiom,
% 1.37/0.90 (( codomain @ b ) = ( domain @ g ))).
% 1.37/0.90 thf(zip_derived_cl10, plain, (((codomain @ b) = (domain @ g))),
% 1.37/0.90 inference('cnf', [status(esa)], [codomain_of_b_equals_domain_of_g])).
% 1.37/0.90 thf(zip_derived_cl849, plain,
% 1.37/0.90 ((((h) = (g)) | ((codomain @ b) != (codomain @ b)))),
% 1.37/0.90 inference('demod', [status(thm)], [zip_derived_cl848, zip_derived_cl10])).
% 1.37/0.90 thf(zip_derived_cl850, plain, (((h) = (g))),
% 1.37/0.90 inference('simplify', [status(thm)], [zip_derived_cl849])).
% 1.37/0.90 thf(prove_g_equals_h, conjecture, (( g ) = ( h ))).
% 1.37/0.90 thf(zf_stmt_0, negated_conjecture, (( g ) != ( h )),
% 1.37/0.90 inference('cnf.neg', [status(esa)], [prove_g_equals_h])).
% 1.37/0.90 thf(zip_derived_cl12, plain, (((g) != (h))),
% 1.37/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.90 thf(zip_derived_cl851, plain, ($false),
% 1.37/0.90 inference('simplify_reflect-', [status(thm)],
% 1.37/0.90 [zip_derived_cl850, zip_derived_cl12])).
% 1.37/0.90
% 1.37/0.90 % SZS output end Refutation
% 1.37/0.90
% 1.37/0.90
% 1.37/0.90 % Terminating...
% 1.80/1.00 % Runner terminated.
% 1.80/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------