TSTP Solution File: GRP091-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP091-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ri7KT686x6 true
% Computer : n023.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 01:49:53 EDT 2023
% Result : Unsatisfiable 8.17s 1.75s
% Output : Refutation 8.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP091-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ri7KT686x6 true
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 00:06:10 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/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
% 0.47/0.61 % Total configuration time : 435
% 0.47/0.61 % Estimated wc time : 1092
% 0.47/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.17/1.75 % Solved by fo/fo1_av.sh.
% 8.17/1.75 % done 279 iterations in 1.020s
% 8.17/1.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.17/1.75 % SZS output start Refutation
% 8.17/1.75 thf(multiply_type, type, multiply: $i > $i > $i).
% 8.17/1.75 thf(b4_type, type, b4: $i).
% 8.17/1.75 thf(a1_type, type, a1: $i).
% 8.17/1.75 thf(a4_type, type, a4: $i).
% 8.17/1.75 thf(b2_type, type, b2: $i).
% 8.17/1.75 thf(identity_type, type, identity: $i).
% 8.17/1.75 thf(divide_type, type, divide: $i > $i > $i).
% 8.17/1.75 thf(inverse_type, type, inverse: $i > $i).
% 8.17/1.75 thf(a3_type, type, a3: $i).
% 8.17/1.75 thf(a2_type, type, a2: $i).
% 8.17/1.75 thf(c3_type, type, c3: $i).
% 8.17/1.75 thf(b1_type, type, b1: $i).
% 8.17/1.75 thf(b3_type, type, b3: $i).
% 8.17/1.75 thf(identity, axiom, (( identity ) = ( divide @ X @ X ))).
% 8.17/1.75 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 8.17/1.75 inference('cnf', [status(esa)], [identity])).
% 8.17/1.75 thf(single_axiom, axiom,
% 8.17/1.75 (( divide @ ( divide @ X @ ( divide @ ( divide @ X @ Y ) @ Z ) ) @ Y ) =
% 8.17/1.75 ( Z ))).
% 8.17/1.75 thf(zip_derived_cl0, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((divide @ (divide @ X1 @ (divide @ (divide @ X1 @ X2) @ X0)) @ X2)
% 8.17/1.75 = (X0))),
% 8.17/1.75 inference('cnf', [status(esa)], [single_axiom])).
% 8.17/1.75 thf(zip_derived_cl0, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((divide @ (divide @ X1 @ (divide @ (divide @ X1 @ X2) @ X0)) @ X2)
% 8.17/1.75 = (X0))),
% 8.17/1.75 inference('cnf', [status(esa)], [single_axiom])).
% 8.17/1.75 thf(zip_derived_cl0, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((divide @ (divide @ X1 @ (divide @ (divide @ X1 @ X2) @ X0)) @ X2)
% 8.17/1.75 = (X0))),
% 8.17/1.75 inference('cnf', [status(esa)], [single_axiom])).
% 8.17/1.75 thf(zip_derived_cl9, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.17/1.75 ((divide @
% 8.17/1.75 (divide @ (divide @ X3 @ (divide @ (divide @ X3 @ X2) @ X0)) @
% 8.17/1.75 (divide @ X0 @ X1)) @
% 8.17/1.75 X2) = (X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.17/1.75 thf(zip_derived_cl73, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 8.17/1.75 thf(zip_derived_cl104, plain,
% 8.17/1.75 (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl73])).
% 8.17/1.75 thf(zip_derived_cl9, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.17/1.75 ((divide @
% 8.17/1.75 (divide @ (divide @ X3 @ (divide @ (divide @ X3 @ X2) @ X0)) @
% 8.17/1.75 (divide @ X0 @ X1)) @
% 8.17/1.75 X2) = (X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.17/1.75 thf(zip_derived_cl116, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((divide @
% 8.17/1.75 (divide @ (divide @ X1 @ (divide @ X1 @ X0)) @
% 8.17/1.75 (divide @ identity @ X2)) @
% 8.17/1.75 X0) = (X2))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl9])).
% 8.17/1.75 thf(zip_derived_cl73, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 8.17/1.75 thf(multiply, axiom,
% 8.17/1.75 (( multiply @ X @ Y ) =
% 8.17/1.75 ( divide @ X @ ( divide @ ( divide @ Z @ Z ) @ Y ) ))).
% 8.17/1.75 thf(zip_derived_cl1, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2)
% 8.17/1.75 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 8.17/1.75 inference('cnf', [status(esa)], [multiply])).
% 8.17/1.75 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 8.17/1.75 inference('cnf', [status(esa)], [identity])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl123, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]: ((divide @ (multiply @ X0 @ X2) @ X0) = (X2))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl116, zip_derived_cl73, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl182, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]:
% 8.17/1.75 ((multiply @ (multiply @ (divide @ identity @ X1) @ X0) @ X1) = (X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl123, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]: ((divide @ (multiply @ X0 @ X2) @ X0) = (X2))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl116, zip_derived_cl73, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl73, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 8.17/1.75 thf(zip_derived_cl181, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl73])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl201, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]:
% 8.17/1.75 ((multiply @ (multiply @ X0 @ (divide @ identity @ X1)) @ X1) = (X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl320, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X1)
% 8.17/1.75 = (multiply @ (divide @ identity @ (divide @ identity @ X1)) @ X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl201])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl73, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl100, plain,
% 8.17/1.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl330, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl320, zip_derived_cl41, zip_derived_cl100])).
% 8.17/1.75 thf(prove_these_axioms, conjecture,
% 8.17/1.75 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 8.17/1.75 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 8.17/1.75 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 8.17/1.75 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 8.17/1.75 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 8.17/1.75 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 8.17/1.75 thf(zf_stmt_0, negated_conjecture,
% 8.17/1.75 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 8.17/1.75 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 8.17/1.75 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 8.17/1.75 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 8.17/1.75 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 8.17/1.75 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 8.17/1.75 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 8.17/1.75 thf(zip_derived_cl4, plain,
% 8.17/1.75 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 8.17/1.75 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.17/1.75 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 8.17/1.75 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 8.17/1.75 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 8.17/1.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.17/1.75 thf(zip_derived_cl7, plain,
% 8.17/1.75 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.17/1.75 != (multiply @ a3 @ (multiply @ b3 @ c3))))
% 8.17/1.75 <= (~
% 8.17/1.75 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.17/1.75 = (multiply @ a3 @ (multiply @ b3 @ c3)))))),
% 8.17/1.75 inference('split', [status(esa)], [zip_derived_cl4])).
% 8.17/1.75 thf(zip_derived_cl348, plain,
% 8.17/1.75 ((((multiply @ c3 @ (multiply @ a3 @ b3))
% 8.17/1.75 != (multiply @ a3 @ (multiply @ b3 @ c3))))
% 8.17/1.75 <= (~
% 8.17/1.75 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.17/1.75 = (multiply @ a3 @ (multiply @ b3 @ c3)))))),
% 8.17/1.75 inference('s_sup-', [status(thm)], [zip_derived_cl330, zip_derived_cl7])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 8.17/1.75 inference('cnf', [status(esa)], [identity])).
% 8.17/1.75 thf(zip_derived_cl43, plain,
% 8.17/1.75 (![X0 : $i]: ((identity) = (multiply @ (divide @ identity @ X0) @ X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl3])).
% 8.17/1.75 thf(inverse, axiom, (( inverse @ X ) = ( divide @ ( divide @ Z @ Z ) @ X ))).
% 8.17/1.75 thf(zip_derived_cl2, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]:
% 8.17/1.75 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 8.17/1.75 inference('cnf', [status(esa)], [inverse])).
% 8.17/1.75 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 8.17/1.75 inference('cnf', [status(esa)], [identity])).
% 8.17/1.75 thf(zip_derived_cl15, plain,
% 8.17/1.75 (![X1 : $i]: ((inverse @ X1) = (divide @ identity @ X1))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl5, plain,
% 8.17/1.75 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))
% 8.17/1.75 <= (~
% 8.17/1.75 (((multiply @ (inverse @ a1) @ a1)
% 8.17/1.75 = (multiply @ (inverse @ b1) @ b1))))),
% 8.17/1.75 inference('split', [status(esa)], [zip_derived_cl4])).
% 8.17/1.75 thf(zip_derived_cl16, plain,
% 8.17/1.75 ((((multiply @ (inverse @ a1) @ a1)
% 8.17/1.75 != (multiply @ (divide @ identity @ b1) @ b1)))
% 8.17/1.75 <= (~
% 8.17/1.75 (((multiply @ (inverse @ a1) @ a1)
% 8.17/1.75 = (multiply @ (inverse @ b1) @ b1))))),
% 8.17/1.75 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl5])).
% 8.17/1.75 thf(zip_derived_cl15, plain,
% 8.17/1.75 (![X1 : $i]: ((inverse @ X1) = (divide @ identity @ X1))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl18, plain,
% 8.17/1.75 ((((multiply @ (divide @ identity @ a1) @ a1)
% 8.17/1.75 != (multiply @ (divide @ identity @ b1) @ b1)))
% 8.17/1.75 <= (~
% 8.17/1.75 (((multiply @ (inverse @ a1) @ a1)
% 8.17/1.75 = (multiply @ (inverse @ b1) @ b1))))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl15])).
% 8.17/1.75 thf(zip_derived_cl127, plain,
% 8.17/1.75 ((((multiply @ (divide @ identity @ a1) @ a1) != (identity)))
% 8.17/1.75 <= (~
% 8.17/1.75 (((multiply @ (inverse @ a1) @ a1)
% 8.17/1.75 = (multiply @ (inverse @ b1) @ b1))))),
% 8.17/1.75 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl18])).
% 8.17/1.75 thf(zip_derived_cl43, plain,
% 8.17/1.75 (![X0 : $i]: ((identity) = (multiply @ (divide @ identity @ X0) @ X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl135, plain,
% 8.17/1.75 ((((identity) != (identity)))
% 8.17/1.75 <= (~
% 8.17/1.75 (((multiply @ (inverse @ a1) @ a1)
% 8.17/1.75 = (multiply @ (inverse @ b1) @ b1))))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl43])).
% 8.17/1.75 thf('0', plain,
% 8.17/1.75 ((((multiply @ (inverse @ a1) @ a1) = (multiply @ (inverse @ b1) @ b1)))),
% 8.17/1.75 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 8.17/1.75 thf(zip_derived_cl43, plain,
% 8.17/1.75 (![X0 : $i]: ((identity) = (multiply @ (divide @ identity @ X0) @ X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl15, plain,
% 8.17/1.75 (![X1 : $i]: ((inverse @ X1) = (divide @ identity @ X1))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl6, plain,
% 8.17/1.75 ((((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2)))
% 8.17/1.75 <= (~ (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) = (a2))))),
% 8.17/1.75 inference('split', [status(esa)], [zip_derived_cl4])).
% 8.17/1.75 thf(zip_derived_cl17, plain,
% 8.17/1.75 ((((multiply @ (multiply @ (divide @ identity @ b2) @ b2) @ a2) != (a2)))
% 8.17/1.75 <= (~ (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) = (a2))))),
% 8.17/1.75 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl6])).
% 8.17/1.75 thf(zip_derived_cl128, plain,
% 8.17/1.75 ((((multiply @ identity @ a2) != (a2)))
% 8.17/1.75 <= (~ (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) = (a2))))),
% 8.17/1.75 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl17])).
% 8.17/1.75 thf(zip_derived_cl100, plain,
% 8.17/1.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl137, plain,
% 8.17/1.75 ((((a2) != (a2)))
% 8.17/1.75 <= (~ (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) = (a2))))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl100])).
% 8.17/1.75 thf('1', plain,
% 8.17/1.75 ((((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) = (a2)))),
% 8.17/1.75 inference('simplify', [status(thm)], [zip_derived_cl137])).
% 8.17/1.75 thf(zip_derived_cl330, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl320, zip_derived_cl41, zip_derived_cl100])).
% 8.17/1.75 thf(zip_derived_cl8, plain,
% 8.17/1.75 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))
% 8.17/1.75 <= (~ (((multiply @ a4 @ b4) = (multiply @ b4 @ a4))))),
% 8.17/1.75 inference('split', [status(esa)], [zip_derived_cl4])).
% 8.17/1.75 thf(zip_derived_cl350, plain,
% 8.17/1.75 ((((multiply @ a4 @ b4) != (multiply @ a4 @ b4)))
% 8.17/1.75 <= (~ (((multiply @ a4 @ b4) = (multiply @ b4 @ a4))))),
% 8.17/1.75 inference('s_sup-', [status(thm)], [zip_derived_cl330, zip_derived_cl8])).
% 8.17/1.75 thf('2', plain, ((((multiply @ a4 @ b4) = (multiply @ b4 @ a4)))),
% 8.17/1.75 inference('simplify', [status(thm)], [zip_derived_cl350])).
% 8.17/1.75 thf('3', plain,
% 8.17/1.75 (~
% 8.17/1.75 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.17/1.75 = (multiply @ a3 @ (multiply @ b3 @ c3)))) |
% 8.17/1.75 ~ (((multiply @ a4 @ b4) = (multiply @ b4 @ a4))) |
% 8.17/1.75 ~ (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) = (a2))) |
% 8.17/1.75 ~
% 8.17/1.75 (((multiply @ (inverse @ a1) @ a1) = (multiply @ (inverse @ b1) @ b1)))),
% 8.17/1.75 inference('split', [status(esa)], [zip_derived_cl4])).
% 8.17/1.75 thf('4', plain,
% 8.17/1.75 (~
% 8.17/1.75 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.17/1.75 = (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 8.17/1.75 inference('sat_resolution*', [status(thm)], ['0', '1', '2', '3'])).
% 8.17/1.75 thf(zip_derived_cl366, plain,
% 8.17/1.75 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 8.17/1.75 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 8.17/1.75 inference('simpl_trail', [status(thm)], [zip_derived_cl348, '4'])).
% 8.17/1.75 thf(zip_derived_cl123, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]: ((divide @ (multiply @ X0 @ X2) @ X0) = (X2))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl116, zip_derived_cl73, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 8.17/1.75 inference('cnf', [status(esa)], [identity])).
% 8.17/1.75 thf(zip_derived_cl9, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.17/1.75 ((divide @
% 8.17/1.75 (divide @ (divide @ X3 @ (divide @ (divide @ X3 @ X2) @ X0)) @
% 8.17/1.75 (divide @ X0 @ X1)) @
% 8.17/1.75 X2) = (X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.17/1.75 thf(zip_derived_cl71, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]:
% 8.17/1.75 ((divide @ identity @ X1) = (divide @ (divide @ X0 @ X1) @ X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 8.17/1.75 thf(zip_derived_cl230, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]:
% 8.17/1.75 ((divide @ identity @ X1) = (divide @ X0 @ (multiply @ X1 @ X0)))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl71])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl0, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((divide @ (divide @ X1 @ (divide @ (divide @ X1 @ X2) @ X0)) @ X2)
% 8.17/1.75 = (X0))),
% 8.17/1.75 inference('cnf', [status(esa)], [single_axiom])).
% 8.17/1.75 thf(zip_derived_cl42, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((divide @ (divide @ X1 @ (divide @ (multiply @ X1 @ X0) @ X2)) @
% 8.17/1.75 (divide @ identity @ X0)) = (X2))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 8.17/1.75 thf(zip_derived_cl497, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((divide @ (divide @ X2 @ (divide @ identity @ X0)) @
% 8.17/1.75 (divide @ identity @ X1)) = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl42])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl519, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 8.17/1.75 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl497, zip_derived_cl41, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl330, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl320, zip_derived_cl41, zip_derived_cl100])).
% 8.17/1.75 thf(zip_derived_cl2510, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 8.17/1.75 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl519, zip_derived_cl330])).
% 8.17/1.75 thf(zip_derived_cl2565, plain,
% 8.17/1.75 (((multiply @ b3 @ (multiply @ a3 @ c3))
% 8.17/1.75 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl366, zip_derived_cl2510])).
% 8.17/1.75 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 8.17/1.75 inference('cnf', [status(esa)], [identity])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl49, plain,
% 8.17/1.75 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl104, plain,
% 8.17/1.75 (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl73])).
% 8.17/1.75 thf(zip_derived_cl110, plain,
% 8.17/1.75 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl104])).
% 8.17/1.75 thf(zip_derived_cl330, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl320, zip_derived_cl41, zip_derived_cl100])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl73, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 8.17/1.75 thf(zip_derived_cl105, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]:
% 8.17/1.75 ((divide @ X1 @ (multiply @ X1 @ X0)) = (divide @ identity @ X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl73])).
% 8.17/1.75 thf(zip_derived_cl42, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((divide @ (divide @ X1 @ (divide @ (multiply @ X1 @ X0) @ X2)) @
% 8.17/1.75 (divide @ identity @ X0)) = (X2))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 8.17/1.75 thf(zip_derived_cl496, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((divide @ (divide @ X2 @ (divide @ identity @ X0)) @
% 8.17/1.75 (divide @ identity @ X1)) = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl42])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl41, plain,
% 8.17/1.75 (![X0 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 8.17/1.75 thf(zip_derived_cl518, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 8.17/1.75 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl496, zip_derived_cl41, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl557, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 8.17/1.75 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl330, zip_derived_cl518])).
% 8.17/1.75 thf(zip_derived_cl647, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]:
% 8.17/1.75 ((multiply @ (multiply @ X1 @ X0) @ identity) = (multiply @ X0 @ X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl557])).
% 8.17/1.75 thf(zip_derived_cl557, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 8.17/1.75 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl330, zip_derived_cl518])).
% 8.17/1.75 thf(zip_derived_cl1493, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 8.17/1.75 = (multiply @ (multiply @ identity @ X2) @ (multiply @ X0 @ X1)))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl647, zip_derived_cl557])).
% 8.17/1.75 thf(zip_derived_cl100, plain,
% 8.17/1.75 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.17/1.75 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl1537, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 8.17/1.75 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 8.17/1.75 inference('demod', [status(thm)], [zip_derived_cl1493, zip_derived_cl100])).
% 8.17/1.75 thf(zip_derived_cl519, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 8.17/1.75 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl497, zip_derived_cl41, zip_derived_cl41])).
% 8.17/1.75 thf(zip_derived_cl2528, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.17/1.75 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 8.17/1.75 = (multiply @ X1 @ (multiply @ X0 @ X2)))),
% 8.17/1.75 inference('s_sup+', [status(thm)],
% 8.17/1.75 [zip_derived_cl1537, zip_derived_cl519])).
% 8.17/1.75 thf(zip_derived_cl330, plain,
% 8.17/1.75 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl320, zip_derived_cl41, zip_derived_cl100])).
% 8.17/1.75 thf(zip_derived_cl2923, plain,
% 8.17/1.75 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 8.17/1.75 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 8.17/1.75 inference('demod', [status(thm)],
% 8.17/1.75 [zip_derived_cl2565, zip_derived_cl2528, zip_derived_cl330])).
% 8.17/1.75 thf(zip_derived_cl2924, plain, ($false),
% 8.17/1.75 inference('simplify', [status(thm)], [zip_derived_cl2923])).
% 8.17/1.75
% 8.17/1.75 % SZS output end Refutation
% 8.17/1.75
% 8.17/1.75
% 8.17/1.75 % Terminating...
% 8.72/1.81 % Runner terminated.
% 8.72/1.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------