TSTP Solution File: GRP094-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP094-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2PbqWTqajz true
% Computer : n031.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 Aug 31 01:49:54 EDT 2023
% Result : Unsatisfiable 1.30s 1.26s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP094-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2PbqWTqajz true
% 0.14/0.34 % Computer : n031.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 : Tue Aug 29 02:02:25 EDT 2023
% 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
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/1.26 % Solved by fo/fo13.sh.
% 1.30/1.26 % done 364 iterations in 0.493s
% 1.30/1.26 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/1.26 % SZS output start Refutation
% 1.30/1.26 thf(b2_type, type, b2: $i).
% 1.30/1.26 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.30/1.26 thf(a3_type, type, a3: $i).
% 1.30/1.26 thf(b1_type, type, b1: $i).
% 1.30/1.26 thf(a1_type, type, a1: $i).
% 1.30/1.26 thf(identity_type, type, identity: $i).
% 1.30/1.26 thf(divide_type, type, divide: $i > $i > $i).
% 1.30/1.26 thf(inverse_type, type, inverse: $i > $i).
% 1.30/1.26 thf(c3_type, type, c3: $i).
% 1.30/1.26 thf(b3_type, type, b3: $i).
% 1.30/1.26 thf(b4_type, type, b4: $i).
% 1.30/1.26 thf(a2_type, type, a2: $i).
% 1.30/1.26 thf(a4_type, type, a4: $i).
% 1.30/1.26 thf(prove_these_axioms, conjecture,
% 1.30/1.26 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.30/1.26 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.30/1.26 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.30/1.26 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 1.30/1.26 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.30/1.26 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 1.30/1.26 thf(zf_stmt_0, negated_conjecture,
% 1.30/1.26 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.30/1.26 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.30/1.26 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.30/1.26 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 1.30/1.26 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.30/1.26 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 1.30/1.26 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 1.30/1.26 thf(zip_derived_cl4, plain,
% 1.30/1.26 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.30/1.26 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.30/1.26 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.30/1.26 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 1.30/1.26 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/1.26 thf(inverse, axiom, (( inverse @ X ) = ( divide @ identity @ X ))).
% 1.30/1.26 thf(zip_derived_cl2, plain,
% 1.30/1.26 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [inverse])).
% 1.30/1.26 thf(zip_derived_cl2, plain,
% 1.30/1.26 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [inverse])).
% 1.30/1.26 thf(zip_derived_cl2, plain,
% 1.30/1.26 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [inverse])).
% 1.30/1.26 thf(zip_derived_cl5, plain,
% 1.30/1.26 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.30/1.26 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.30/1.26 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.30/1.26 | ((multiply @ (multiply @ (divide @ identity @ b2) @ b2) @ a2) != (a2))
% 1.30/1.26 | ((multiply @ (divide @ identity @ a1) @ a1)
% 1.30/1.26 != (multiply @ (divide @ identity @ b1) @ b1)))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl4, zip_derived_cl2, zip_derived_cl2,
% 1.30/1.26 zip_derived_cl2])).
% 1.30/1.26 thf(identity, axiom, (( identity ) = ( divide @ X @ X ))).
% 1.30/1.26 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [identity])).
% 1.30/1.26 thf(multiply, axiom,
% 1.30/1.26 (( multiply @ X @ Y ) = ( divide @ X @ ( divide @ identity @ Y ) ))).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl25, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl25, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl25, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl34, plain,
% 1.30/1.26 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.30/1.26 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.30/1.26 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.30/1.26 | ((multiply @ identity @ a2) != (a2))
% 1.30/1.26 | ((identity) != (identity)))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl5, zip_derived_cl25, zip_derived_cl25,
% 1.30/1.26 zip_derived_cl25])).
% 1.30/1.26 thf(zip_derived_cl35, plain,
% 1.30/1.26 ((((multiply @ identity @ a2) != (a2))
% 1.30/1.26 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.30/1.26 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.30/1.26 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 1.30/1.26 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 1.30/1.26 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [identity])).
% 1.30/1.26 thf(single_axiom, axiom,
% 1.30/1.26 (( divide @
% 1.30/1.26 ( divide @ identity @ ( divide @ X @ Y ) ) @
% 1.30/1.26 ( divide @ ( divide @ Y @ Z ) @ X ) ) =
% 1.30/1.26 ( Z ))).
% 1.30/1.26 thf(zip_derived_cl0, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((divide @ (divide @ identity @ (divide @ X1 @ X2)) @
% 1.30/1.26 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/1.26 thf(zip_derived_cl0, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((divide @ (divide @ identity @ (divide @ X1 @ X2)) @
% 1.30/1.26 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/1.26 thf(zip_derived_cl8, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((divide @
% 1.30/1.26 (divide @ identity @
% 1.30/1.26 (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ identity)) @
% 1.30/1.26 X0) = (divide @ X2 @ X1))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.30/1.26 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [identity])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl26, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl41, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((divide @
% 1.30/1.26 (divide @ identity @
% 1.30/1.26 (multiply @ (divide @ (divide @ X1 @ X0) @ X2) @ identity)) @
% 1.30/1.26 X0) = (divide @ X2 @ X1))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl26])).
% 1.30/1.26 thf(zip_derived_cl49, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((divide @ (divide @ identity @ (multiply @ identity @ identity)) @ X1)
% 1.30/1.26 = (divide @ (divide @ X0 @ X1) @ X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl41])).
% 1.30/1.26 thf(zip_derived_cl26, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [identity])).
% 1.30/1.26 thf(zip_derived_cl30, plain,
% 1.30/1.26 (((identity) = (multiply @ identity @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl3])).
% 1.30/1.26 thf(zip_derived_cl26, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl30, plain,
% 1.30/1.26 (((identity) = (multiply @ identity @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl3])).
% 1.30/1.26 thf(zip_derived_cl59, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((divide @ identity @ X1) = (divide @ (divide @ X0 @ X1) @ X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl49, zip_derived_cl30, zip_derived_cl26,
% 1.30/1.26 zip_derived_cl30])).
% 1.30/1.26 thf(zip_derived_cl0, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((divide @ (divide @ identity @ (divide @ X1 @ X2)) @
% 1.30/1.26 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/1.26 thf(zip_derived_cl84, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((divide @ (divide @ identity @ (divide @ X1 @ X1)) @
% 1.30/1.26 (divide @ identity @ X0)) = (X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.30/1.26 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [identity])).
% 1.30/1.26 thf(zip_derived_cl26, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl30, plain,
% 1.30/1.26 (((identity) = (multiply @ identity @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl3])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl97, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl84, zip_derived_cl3, zip_derived_cl26,
% 1.30/1.26 zip_derived_cl30, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl100, plain,
% 1.30/1.26 ((((a2) != (a2))
% 1.30/1.26 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.30/1.26 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.30/1.26 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl97])).
% 1.30/1.26 thf(zip_derived_cl101, plain,
% 1.30/1.26 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.30/1.26 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.30/1.26 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.30/1.26 inference('simplify', [status(thm)], [zip_derived_cl100])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl59, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((divide @ identity @ X1) = (divide @ (divide @ X0 @ X1) @ X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl49, zip_derived_cl30, zip_derived_cl26,
% 1.30/1.26 zip_derived_cl30])).
% 1.30/1.26 thf(zip_derived_cl88, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((divide @ identity @ (divide @ identity @ X0))
% 1.30/1.26 = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl59])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl93, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ identity @ X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl97, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl84, zip_derived_cl3, zip_derived_cl26,
% 1.30/1.26 zip_derived_cl30, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl120, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl97])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl125, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ (multiply @ (divide @ identity @ X1) @ X0) @ X1) = (X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl120, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl97])).
% 1.30/1.26 thf(zip_derived_cl97, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl84, zip_derived_cl3, zip_derived_cl26,
% 1.30/1.26 zip_derived_cl30, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl120, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl97])).
% 1.30/1.26 thf(zip_derived_cl129, plain,
% 1.30/1.26 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl120])).
% 1.30/1.26 thf(zip_derived_cl0, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((divide @ (divide @ identity @ (divide @ X1 @ X2)) @
% 1.30/1.26 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/1.26 thf(zip_derived_cl139, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((divide @ (divide @ identity @ (divide @ identity @ X1)) @
% 1.30/1.26 (divide @ X1 @ X0)) = (X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl0])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl97, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl84, zip_derived_cl3, zip_derived_cl26,
% 1.30/1.26 zip_derived_cl30, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl145, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl139, zip_derived_cl1, zip_derived_cl97])).
% 1.30/1.26 thf(zip_derived_cl228, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl145])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl311, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ (multiply @ X0 @ (divide @ identity @ X1)) @ X1) = (X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl446, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1)
% 1.30/1.26 = (multiply @ (divide @ identity @ (divide @ identity @ X1)) @ X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl311])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl25, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl37, plain,
% 1.30/1.26 (![X0 : $i]:
% 1.30/1.26 ((multiply @ (multiply @ identity @ X0) @ (divide @ identity @ X0))
% 1.30/1.26 = (identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl25])).
% 1.30/1.26 thf(zip_derived_cl97, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl84, zip_derived_cl3, zip_derived_cl26,
% 1.30/1.26 zip_derived_cl30, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl102, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ X0 @ (divide @ identity @ X0)) = (identity))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl97])).
% 1.30/1.26 thf(zip_derived_cl0, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((divide @ (divide @ identity @ (divide @ X1 @ X2)) @
% 1.30/1.26 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/1.26 thf(zip_derived_cl0, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((divide @ (divide @ identity @ (divide @ X1 @ X2)) @
% 1.30/1.26 (divide @ (divide @ X2 @ X0) @ X1)) = (X0))),
% 1.30/1.26 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/1.26 thf(zip_derived_cl10, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/1.26 ((divide @
% 1.30/1.26 (divide @ identity @
% 1.30/1.26 (divide @ X3 @ (divide @ identity @ (divide @ X1 @ X2)))) @
% 1.30/1.26 (divide @ X0 @ X3)) = (divide @ (divide @ X2 @ X0) @ X1))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl12, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/1.26 ((divide @
% 1.30/1.26 (divide @ identity @ (multiply @ X3 @ (divide @ X1 @ X2))) @
% 1.30/1.26 (divide @ X0 @ X3)) = (divide @ (divide @ X2 @ X0) @ X1))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl179, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((divide @ (divide @ identity @ identity) @ (divide @ X0 @ X1))
% 1.30/1.26 = (divide @ (divide @ X1 @ X0) @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl12])).
% 1.30/1.26 thf(zip_derived_cl129, plain,
% 1.30/1.26 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl120])).
% 1.30/1.26 thf(zip_derived_cl129, plain,
% 1.30/1.26 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl120])).
% 1.30/1.26 thf(zip_derived_cl194, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((divide @ identity @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl179, zip_derived_cl129, zip_derived_cl129])).
% 1.30/1.26 thf(zip_derived_cl129, plain,
% 1.30/1.26 (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl120])).
% 1.30/1.26 thf(zip_derived_cl456, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl446, zip_derived_cl194, zip_derived_cl129])).
% 1.30/1.26 thf(zip_derived_cl456, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl446, zip_derived_cl194, zip_derived_cl129])).
% 1.30/1.26 thf(zip_derived_cl466, plain,
% 1.30/1.26 ((((multiply @ a4 @ b4) != (multiply @ a4 @ b4))
% 1.30/1.26 | ((multiply @ c3 @ (multiply @ a3 @ b3))
% 1.30/1.26 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl101, zip_derived_cl456, zip_derived_cl456])).
% 1.30/1.26 thf(zip_derived_cl467, plain,
% 1.30/1.26 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 1.30/1.26 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.30/1.26 inference('simplify', [status(thm)], [zip_derived_cl466])).
% 1.30/1.26 thf(zip_derived_cl120, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl97])).
% 1.30/1.26 thf(zip_derived_cl41, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((divide @
% 1.30/1.26 (divide @ identity @
% 1.30/1.26 (multiply @ (divide @ (divide @ X1 @ X0) @ X2) @ identity)) @
% 1.30/1.26 X0) = (divide @ X2 @ X1))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl26])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl45, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((multiply @
% 1.30/1.26 (divide @ identity @
% 1.30/1.26 (multiply @
% 1.30/1.26 (divide @ (divide @ X0 @ (divide @ identity @ X2)) @ X1) @
% 1.30/1.26 identity)) @
% 1.30/1.26 X2) = (divide @ X1 @ X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl67, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((multiply @
% 1.30/1.26 (divide @ identity @
% 1.30/1.26 (multiply @ (divide @ (multiply @ X0 @ X2) @ X1) @ identity)) @
% 1.30/1.26 X2) = (divide @ X1 @ X0))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl120, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl97])).
% 1.30/1.26 thf(zip_derived_cl26, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl126, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ (multiply @ identity @ X0) @ identity) = (X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl26])).
% 1.30/1.26 thf(zip_derived_cl97, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl84, zip_derived_cl3, zip_derived_cl26,
% 1.30/1.26 zip_derived_cl30, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl130, plain,
% 1.30/1.26 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl97])).
% 1.30/1.26 thf(zip_derived_cl194, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((divide @ identity @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl179, zip_derived_cl129, zip_derived_cl129])).
% 1.30/1.26 thf(zip_derived_cl456, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl446, zip_derived_cl194, zip_derived_cl129])).
% 1.30/1.26 thf(zip_derived_cl1314, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((multiply @ X2 @ (divide @ X1 @ (multiply @ X0 @ X2)))
% 1.30/1.26 = (divide @ X1 @ X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl67, zip_derived_cl130, zip_derived_cl194,
% 1.30/1.26 zip_derived_cl456])).
% 1.30/1.26 thf(zip_derived_cl1334, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((multiply @ X2 @ X0)
% 1.30/1.26 = (divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @ X1))),
% 1.30/1.26 inference('s_sup+', [status(thm)],
% 1.30/1.26 [zip_derived_cl120, zip_derived_cl1314])).
% 1.30/1.26 thf(zip_derived_cl311, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ (multiply @ X0 @ (divide @ identity @ X1)) @ X1) = (X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl145, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl139, zip_derived_cl1, zip_derived_cl97])).
% 1.30/1.26 thf(zip_derived_cl1, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/1.26 inference('cnf', [status(esa)], [multiply])).
% 1.30/1.26 thf(zip_derived_cl217, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]:
% 1.30/1.26 ((multiply @ X1 @ (divide @ identity @ X0)) = (divide @ X1 @ X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl1])).
% 1.30/1.26 thf(zip_derived_cl456, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl446, zip_derived_cl194, zip_derived_cl129])).
% 1.30/1.26 thf(zip_derived_cl493, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (divide @ X0 @ X1)) = (X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl311, zip_derived_cl217, zip_derived_cl456])).
% 1.30/1.26 thf(zip_derived_cl1503, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 1.30/1.26 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 1.30/1.26 inference('s_sup+', [status(thm)],
% 1.30/1.26 [zip_derived_cl1334, zip_derived_cl493])).
% 1.30/1.26 thf(zip_derived_cl456, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.30/1.26 inference('demod', [status(thm)],
% 1.30/1.26 [zip_derived_cl446, zip_derived_cl194, zip_derived_cl129])).
% 1.30/1.26 thf(zip_derived_cl2908, plain,
% 1.30/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/1.26 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 1.30/1.26 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 1.30/1.26 inference('s_sup+', [status(thm)],
% 1.30/1.26 [zip_derived_cl1503, zip_derived_cl456])).
% 1.30/1.26 thf(zip_derived_cl3174, plain,
% 1.30/1.26 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 1.30/1.26 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.30/1.26 inference('demod', [status(thm)], [zip_derived_cl467, zip_derived_cl2908])).
% 1.30/1.26 thf(zip_derived_cl3175, plain, ($false),
% 1.30/1.26 inference('simplify', [status(thm)], [zip_derived_cl3174])).
% 1.30/1.26
% 1.30/1.26 % SZS output end Refutation
% 1.30/1.26
% 1.30/1.26
% 1.30/1.27 % Terminating...
% 1.83/1.34 % Runner terminated.
% 1.83/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------