TSTP Solution File: GRP089-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP089-1 : 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.IJRXmsXUsG true
% Computer : n001.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 1.45s 0.95s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP089-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IJRXmsXUsG true
% 0.14/0.34 % Computer : n001.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 : Mon Aug 28 22:50:21 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/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
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.45/0.95 % Solved by fo/fo4.sh.
% 1.45/0.95 % done 285 iterations in 0.179s
% 1.45/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/0.95 % SZS output start Refutation
% 1.45/0.95 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.45/0.95 thf(b2_type, type, b2: $i).
% 1.45/0.95 thf(a3_type, type, a3: $i).
% 1.45/0.95 thf(b1_type, type, b1: $i).
% 1.45/0.95 thf(a1_type, type, a1: $i).
% 1.45/0.95 thf(divide_type, type, divide: $i > $i > $i).
% 1.45/0.95 thf(inverse_type, type, inverse: $i > $i).
% 1.45/0.95 thf(c3_type, type, c3: $i).
% 1.45/0.95 thf(b3_type, type, b3: $i).
% 1.45/0.95 thf(b4_type, type, b4: $i).
% 1.45/0.95 thf(a2_type, type, a2: $i).
% 1.45/0.95 thf(a4_type, type, a4: $i).
% 1.45/0.95 thf(prove_these_axioms, conjecture,
% 1.45/0.95 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.45/0.95 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.45/0.95 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.45/0.95 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 1.45/0.95 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.45/0.95 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 1.45/0.95 thf(zf_stmt_0, negated_conjecture,
% 1.45/0.95 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.45/0.95 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.45/0.95 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.45/0.95 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 1.45/0.95 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.45/0.95 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 1.45/0.95 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 1.45/0.95 thf(zip_derived_cl3, plain,
% 1.45/0.95 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.45/0.95 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.45/0.95 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.45/0.95 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 1.45/0.95 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 1.45/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.45/0.95 thf(multiply, axiom,
% 1.45/0.95 (( multiply @ X @ Y ) =
% 1.45/0.95 ( divide @ X @ ( divide @ ( divide @ Z @ Z ) @ Y ) ))).
% 1.45/0.95 thf(zip_derived_cl1, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2)
% 1.45/0.95 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 1.45/0.95 inference('cnf', [status(esa)], [multiply])).
% 1.45/0.95 thf(inverse, axiom, (( inverse @ X ) = ( divide @ ( divide @ Z @ Z ) @ X ))).
% 1.45/0.95 thf(zip_derived_cl2, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.45/0.95 inference('cnf', [status(esa)], [inverse])).
% 1.45/0.95 thf(zip_derived_cl6, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.95 thf(zip_derived_cl6, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.95 thf(zip_derived_cl6, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.95 thf(zip_derived_cl6, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.95 thf(zip_derived_cl6, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.95 thf(zip_derived_cl6, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.95 thf(zip_derived_cl6, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.95 thf(zip_derived_cl6, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.95 thf(zip_derived_cl2, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.45/0.95 inference('cnf', [status(esa)], [inverse])).
% 1.45/0.95 thf(zip_derived_cl6, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.95 thf(zip_derived_cl6, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.45/0.95 thf(zip_derived_cl7, plain,
% 1.45/0.95 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 1.45/0.95 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 1.45/0.95 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 1.45/0.95 | ((inverse @ (inverse @ a2)) != (a2))
% 1.45/0.95 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 1.45/0.95 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 1.45/0.95 inference('demod', [status(thm)],
% 1.45/0.95 [zip_derived_cl3, zip_derived_cl6, zip_derived_cl6,
% 1.45/0.95 zip_derived_cl6, zip_derived_cl6, zip_derived_cl6,
% 1.45/0.95 zip_derived_cl6, zip_derived_cl6, zip_derived_cl6,
% 1.45/0.95 zip_derived_cl2, zip_derived_cl6, zip_derived_cl6])).
% 1.45/0.95 thf(zip_derived_cl2, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.45/0.95 inference('cnf', [status(esa)], [inverse])).
% 1.45/0.95 thf(zip_derived_cl2, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.45/0.95 inference('cnf', [status(esa)], [inverse])).
% 1.45/0.95 thf(single_axiom, axiom,
% 1.45/0.95 (( divide @ X @ ( divide @ ( divide @ X @ Y ) @ ( divide @ Z @ Y ) ) ) =
% 1.45/0.95 ( Z ))).
% 1.45/0.95 thf(zip_derived_cl0, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X1 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2)))
% 1.45/0.95 = (X0))),
% 1.45/0.95 inference('cnf', [status(esa)], [single_axiom])).
% 1.45/0.95 thf(zip_derived_cl13, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl25, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X0 @ (inverse @ (inverse @ X0))) = (divide @ X1 @ X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 1.45/0.95 thf(zip_derived_cl25, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X0 @ (inverse @ (inverse @ X0))) = (divide @ X1 @ X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 1.45/0.95 thf(zip_derived_cl25, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X0 @ (inverse @ (inverse @ X0))) = (divide @ X1 @ X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 1.45/0.95 thf(zip_derived_cl48, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl25])).
% 1.45/0.95 thf(zip_derived_cl0, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X1 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2)))
% 1.45/0.95 = (X0))),
% 1.45/0.95 inference('cnf', [status(esa)], [single_axiom])).
% 1.45/0.95 thf(zip_derived_cl63, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl0, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X1 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2)))
% 1.45/0.95 = (X0))),
% 1.45/0.95 inference('cnf', [status(esa)], [single_axiom])).
% 1.45/0.95 thf(zip_derived_cl92, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl116, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X1 @ (divide @ X0 @ X0)) = (inverse @ (inverse @ X1)))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl92])).
% 1.45/0.95 thf(zip_derived_cl63, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl119, plain,
% 1.45/0.95 (![X1 : $i]: ((X1) = (inverse @ (inverse @ X1)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl63])).
% 1.45/0.95 thf(zip_derived_cl122, plain,
% 1.45/0.95 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 1.45/0.95 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 1.45/0.95 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 1.45/0.95 | ((a2) != (a2))
% 1.45/0.95 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 1.45/0.95 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl119])).
% 1.45/0.95 thf(zip_derived_cl123, plain,
% 1.45/0.95 ((((divide @ (inverse @ a1) @ (inverse @ a1))
% 1.45/0.95 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 1.45/0.95 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 1.45/0.95 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 1.45/0.95 | ((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4))))),
% 1.45/0.95 inference('simplify', [status(thm)], [zip_derived_cl122])).
% 1.45/0.95 thf(zip_derived_cl48, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl25])).
% 1.45/0.95 thf(zip_derived_cl124, plain,
% 1.45/0.95 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 1.45/0.95 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 1.45/0.95 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3))))))),
% 1.45/0.95 inference('simplify_reflect+', [status(thm)],
% 1.45/0.95 [zip_derived_cl123, zip_derived_cl48])).
% 1.45/0.95 thf(zip_derived_cl13, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl92, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl115, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl92])).
% 1.45/0.95 thf(zip_derived_cl241, plain,
% 1.45/0.95 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 1.45/0.95 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 1.45/0.95 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3))))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl124, zip_derived_cl115])).
% 1.45/0.95 thf(zip_derived_cl92, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl115, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl92])).
% 1.45/0.95 thf(zip_derived_cl250, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ (divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl115])).
% 1.45/0.95 thf(zip_derived_cl2, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.45/0.95 inference('cnf', [status(esa)], [inverse])).
% 1.45/0.95 thf(zip_derived_cl92, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl117, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl92])).
% 1.45/0.95 thf(zip_derived_cl0, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X1 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2)))
% 1.45/0.95 = (X0))),
% 1.45/0.95 inference('cnf', [status(esa)], [single_axiom])).
% 1.45/0.95 thf(zip_derived_cl0, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X1 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2)))
% 1.45/0.95 = (X0))),
% 1.45/0.95 inference('cnf', [status(esa)], [single_axiom])).
% 1.45/0.95 thf(zip_derived_cl9, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.95 ((divide @ X3 @
% 1.45/0.95 (divide @
% 1.45/0.95 (divide @ X3 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2))) @
% 1.45/0.95 X0))
% 1.45/0.95 = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl326, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.95 ((divide @ X3 @
% 1.45/0.95 (divide @
% 1.45/0.95 (divide @ X3 @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X0)) @
% 1.45/0.95 (divide @ X2 @ X2)))
% 1.45/0.95 = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl9])).
% 1.45/0.95 thf(zip_derived_cl63, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl92, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl343, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 1.45/0.95 inference('demod', [status(thm)],
% 1.45/0.95 [zip_derived_cl326, zip_derived_cl63, zip_derived_cl92])).
% 1.45/0.95 thf(zip_derived_cl490, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ (inverse @ X0) @ X1) = (divide @ (inverse @ X1) @ X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl343])).
% 1.45/0.95 thf(zip_derived_cl507, plain,
% 1.45/0.95 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 1.45/0.95 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 1.45/0.95 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3))))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl241, zip_derived_cl490])).
% 1.45/0.95 thf(zip_derived_cl117, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl92])).
% 1.45/0.95 thf(zip_derived_cl0, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X1 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2)))
% 1.45/0.95 = (X0))),
% 1.45/0.95 inference('cnf', [status(esa)], [single_axiom])).
% 1.45/0.95 thf(zip_derived_cl0, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X1 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2)))
% 1.45/0.95 = (X0))),
% 1.45/0.95 inference('cnf', [status(esa)], [single_axiom])).
% 1.45/0.95 thf(zip_derived_cl10, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X2 @ X0)
% 1.45/0.95 = (divide @ (divide @ X2 @ (divide @ X0 @ X1)) @ X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl393, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X1) = (X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl10])).
% 1.45/0.95 thf(zip_derived_cl63, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl9, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.95 ((divide @ X3 @
% 1.45/0.95 (divide @
% 1.45/0.95 (divide @ X3 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2))) @
% 1.45/0.95 X0))
% 1.45/0.95 = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl267, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.95 ((divide @ X3 @
% 1.45/0.95 (divide @ X3 @
% 1.45/0.95 (divide @ (divide @ X2 @ X0) @ (divide @ (divide @ X1 @ X1) @ X0))))
% 1.45/0.95 = (X2))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl9])).
% 1.45/0.95 thf(zip_derived_cl2, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.45/0.95 inference('cnf', [status(esa)], [inverse])).
% 1.45/0.95 thf(zip_derived_cl92, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl302, plain,
% 1.45/0.95 (![X0 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ (divide @ X2 @ X0) @ (inverse @ X0)) = (X2))),
% 1.45/0.95 inference('demod', [status(thm)],
% 1.45/0.95 [zip_derived_cl267, zip_derived_cl2, zip_derived_cl92])).
% 1.45/0.95 thf(zip_derived_cl568, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl302])).
% 1.45/0.95 thf(zip_derived_cl568, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl302])).
% 1.45/0.95 thf(zip_derived_cl568, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl302])).
% 1.45/0.95 thf(zip_derived_cl115, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl92])).
% 1.45/0.95 thf(zip_derived_cl490, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ (inverse @ X0) @ X1) = (divide @ (inverse @ X1) @ X0))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl343])).
% 1.45/0.95 thf(zip_derived_cl602, plain,
% 1.45/0.95 ((((divide @ b4 @ (inverse @ a4)) != (divide @ b4 @ (inverse @ a4)))
% 1.45/0.95 | ((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 1.45/0.95 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3))))),
% 1.45/0.95 inference('demod', [status(thm)],
% 1.45/0.95 [zip_derived_cl507, zip_derived_cl568, zip_derived_cl568,
% 1.45/0.95 zip_derived_cl568, zip_derived_cl115, zip_derived_cl490])).
% 1.45/0.95 thf(zip_derived_cl603, plain,
% 1.45/0.95 (((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 1.45/0.95 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3)))),
% 1.45/0.95 inference('simplify', [status(thm)], [zip_derived_cl602])).
% 1.45/0.95 thf(zip_derived_cl343, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 1.45/0.95 inference('demod', [status(thm)],
% 1.45/0.95 [zip_derived_cl326, zip_derived_cl63, zip_derived_cl92])).
% 1.45/0.95 thf(zip_derived_cl48, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl25])).
% 1.45/0.95 thf(zip_derived_cl0, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X1 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2)))
% 1.45/0.95 = (X0))),
% 1.45/0.95 inference('cnf', [status(esa)], [single_axiom])).
% 1.45/0.95 thf(zip_derived_cl0, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X1 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2)))
% 1.45/0.95 = (X0))),
% 1.45/0.95 inference('cnf', [status(esa)], [single_axiom])).
% 1.45/0.95 thf(zip_derived_cl8, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.95 ((divide @ X3 @
% 1.45/0.95 (divide @ X0 @
% 1.45/0.95 (divide @ X1 @ (divide @ (divide @ X3 @ X2) @ (divide @ X0 @ X2)))))
% 1.45/0.95 = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl196, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.95 ((divide @ X3 @
% 1.45/0.95 (divide @ X2 @
% 1.45/0.95 (divide @ X1 @ (divide @ (divide @ X3 @ X2) @ (divide @ X0 @ X0)))))
% 1.45/0.95 = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl8])).
% 1.45/0.95 thf(zip_derived_cl63, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 1.45/0.95 thf(zip_derived_cl227, plain,
% 1.45/0.95 (![X1 : $i, X2 : $i, X3 : $i]:
% 1.45/0.95 ((divide @ X3 @ (divide @ X2 @ (divide @ X1 @ (divide @ X3 @ X2))))
% 1.45/0.95 = (X1))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl63])).
% 1.45/0.95 thf(zip_derived_cl1225, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X2 @ (divide @ X1 @ X0))
% 1.45/0.95 = (divide @ X0 @ (inverse @ (divide @ X2 @ X1))))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl343, zip_derived_cl227])).
% 1.45/0.95 thf(zip_derived_cl115, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i]:
% 1.45/0.95 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 1.45/0.95 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl92])).
% 1.45/0.95 thf(zip_derived_cl1261, plain,
% 1.45/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.95 ((divide @ X2 @ (divide @ X1 @ X0))
% 1.45/0.95 = (divide @ X0 @ (divide @ X1 @ X2)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl1225, zip_derived_cl115])).
% 1.45/0.95 thf(zip_derived_cl1399, plain,
% 1.45/0.95 (((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 1.45/0.95 != (divide @ c3 @ (divide @ (inverse @ b3) @ a3)))),
% 1.45/0.95 inference('demod', [status(thm)], [zip_derived_cl603, zip_derived_cl1261])).
% 1.45/0.95 thf(zip_derived_cl1400, plain, ($false),
% 1.45/0.95 inference('simplify', [status(thm)], [zip_derived_cl1399])).
% 1.45/0.95
% 1.45/0.95 % SZS output end Refutation
% 1.45/0.95
% 1.45/0.95
% 1.45/0.95 % Terminating...
% 1.81/1.06 % Runner terminated.
% 1.81/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------