TSTP Solution File: GRP090-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP090-1 : 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.0kuRZN6ukN true
% Computer : n012.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 1.32s 1.16s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP090-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0kuRZN6ukN true
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:09:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/1.16 % Solved by fo/fo7.sh.
% 1.32/1.16 % done 521 iterations in 0.403s
% 1.32/1.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/1.16 % SZS output start Refutation
% 1.32/1.16 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.32/1.16 thf(b2_type, type, b2: $i).
% 1.32/1.16 thf(a3_type, type, a3: $i).
% 1.32/1.16 thf(b1_type, type, b1: $i).
% 1.32/1.16 thf(a1_type, type, a1: $i).
% 1.32/1.16 thf(divide_type, type, divide: $i > $i > $i).
% 1.32/1.16 thf(inverse_type, type, inverse: $i > $i).
% 1.32/1.16 thf(c3_type, type, c3: $i).
% 1.32/1.16 thf(b3_type, type, b3: $i).
% 1.32/1.16 thf(b4_type, type, b4: $i).
% 1.32/1.16 thf(a2_type, type, a2: $i).
% 1.32/1.16 thf(a4_type, type, a4: $i).
% 1.32/1.16 thf(inverse, axiom, (( inverse @ X ) = ( divide @ ( divide @ Z @ Z ) @ X ))).
% 1.32/1.16 thf(zip_derived_cl2, plain,
% 1.32/1.16 (![X0 : $i, X1 : $i]:
% 1.32/1.16 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.16 inference('cnf', [status(esa)], [inverse])).
% 1.32/1.16 thf(zip_derived_cl2, plain,
% 1.32/1.16 (![X0 : $i, X1 : $i]:
% 1.32/1.16 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.16 inference('cnf', [status(esa)], [inverse])).
% 1.32/1.16 thf(zip_derived_cl2, plain,
% 1.32/1.16 (![X0 : $i, X1 : $i]:
% 1.32/1.16 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.16 inference('cnf', [status(esa)], [inverse])).
% 1.32/1.16 thf(multiply, axiom,
% 1.32/1.16 (( multiply @ X @ Y ) =
% 1.32/1.16 ( divide @ X @ ( divide @ ( divide @ Z @ Z ) @ Y ) ))).
% 1.32/1.16 thf(zip_derived_cl1, plain,
% 1.32/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.16 ((multiply @ X0 @ X2)
% 1.32/1.16 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 1.32/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.32/1.16 thf(prove_these_axioms, conjecture,
% 1.32/1.16 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.32/1.16 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.32/1.16 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.32/1.16 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 1.32/1.16 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.32/1.16 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 1.32/1.16 thf(zf_stmt_0, negated_conjecture,
% 1.32/1.16 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.32/1.16 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.32/1.16 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.32/1.16 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 1.32/1.16 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.32/1.16 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 1.32/1.16 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 1.32/1.16 thf(zip_derived_cl3, plain,
% 1.32/1.16 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.32/1.16 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.32/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.32/1.16 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 1.32/1.16 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 1.32/1.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/1.16 thf(zip_derived_cl58, plain,
% 1.32/1.16 (![X0 : $i]:
% 1.32/1.16 (((multiply @ a4 @ b4)
% 1.32/1.16 != (divide @ b4 @ (divide @ (divide @ X0 @ X0) @ a4)))
% 1.32/1.16 | ((multiply @ (inverse @ a1) @ a1)
% 1.32/1.16 != (multiply @ (inverse @ b1) @ b1))
% 1.32/1.16 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 1.32/1.16 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.32/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.32/1.16 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.32/1.16 thf(zip_derived_cl103, plain,
% 1.32/1.16 (![X0 : $i, X1 : $i]:
% 1.32/1.16 (((multiply @ (multiply @ (divide @ (divide @ X0 @ X0) @ b2) @ b2) @
% 1.32/1.16 a2) != (a2))
% 1.32/1.16 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.32/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.32/1.16 | ((multiply @ (inverse @ a1) @ a1)
% 1.32/1.16 != (multiply @ (inverse @ b1) @ b1))
% 1.32/1.16 | ((multiply @ a4 @ b4)
% 1.32/1.16 != (divide @ b4 @ (divide @ (divide @ X1 @ X1) @ a4))))),
% 1.32/1.16 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl58])).
% 1.32/1.16 thf(single_axiom, axiom,
% 1.32/1.16 (( divide @ ( divide @ X @ ( divide @ Y @ Z ) ) @ ( divide @ X @ Y ) ) =
% 1.32/1.16 ( Z ))).
% 1.32/1.16 thf(zip_derived_cl0, plain,
% 1.32/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.16 ((divide @ (divide @ X1 @ (divide @ X2 @ X0)) @ (divide @ X1 @ X2))
% 1.32/1.16 = (X0))),
% 1.32/1.16 inference('cnf', [status(esa)], [single_axiom])).
% 1.32/1.16 thf(zip_derived_cl0, plain,
% 1.32/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.16 ((divide @ (divide @ X1 @ (divide @ X2 @ X0)) @ (divide @ X1 @ X2))
% 1.32/1.17 = (X0))),
% 1.32/1.17 inference('cnf', [status(esa)], [single_axiom])).
% 1.32/1.17 thf(zip_derived_cl8, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X0 @ (divide @ (divide @ X2 @ (divide @ X1 @ X0)) @ X2))
% 1.32/1.17 = (X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl8, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X0 @ (divide @ (divide @ X2 @ (divide @ X1 @ X0)) @ X2))
% 1.32/1.17 = (X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl0, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ (divide @ X1 @ (divide @ X2 @ X0)) @ (divide @ X1 @ X2))
% 1.32/1.17 = (X0))),
% 1.32/1.17 inference('cnf', [status(esa)], [single_axiom])).
% 1.32/1.17 thf(zip_derived_cl21, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X0 @ (divide @ X2 @ (divide @ X1 @ (divide @ X0 @ X2))))
% 1.32/1.17 = (X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl81, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X2 @ X0)
% 1.32/1.17 = (divide @ (divide @ X2 @ X1) @ (divide @ X0 @ X1)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl21])).
% 1.32/1.17 thf(zip_derived_cl1, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((multiply @ X0 @ X2)
% 1.32/1.17 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 1.32/1.17 inference('cnf', [status(esa)], [multiply])).
% 1.32/1.17 thf(zip_derived_cl125, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((multiply @ (divide @ X1 @ X2) @ X2)
% 1.32/1.17 = (divide @ X1 @ (divide @ X0 @ X0)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl1])).
% 1.32/1.17 thf(zip_derived_cl2, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.17 inference('cnf', [status(esa)], [inverse])).
% 1.32/1.17 thf(zip_derived_cl8, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X0 @ (divide @ (divide @ X2 @ (divide @ X1 @ X0)) @ X2))
% 1.32/1.17 = (X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl27, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X0 @ (divide @ (divide @ X2 @ (inverse @ X0)) @ X2))
% 1.32/1.17 = (divide @ X1 @ X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl8])).
% 1.32/1.17 thf(zip_derived_cl2, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.17 inference('cnf', [status(esa)], [inverse])).
% 1.32/1.17 thf(zip_derived_cl8, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X0 @ (divide @ (divide @ X2 @ (divide @ X1 @ X0)) @ X2))
% 1.32/1.17 = (X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl30, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 1.32/1.17 inference('demod', [status(thm)],
% 1.32/1.17 [zip_derived_cl27, zip_derived_cl2, zip_derived_cl8])).
% 1.32/1.17 thf(zip_derived_cl21, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X0 @ (divide @ X2 @ (divide @ X1 @ (divide @ X0 @ X2))))
% 1.32/1.17 = (X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl82, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X2 @ (divide @ X1 @ (divide @ X0 @ X0)))
% 1.32/1.17 = (divide @ X2 @ X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl21])).
% 1.32/1.17 thf(zip_derived_cl0, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ (divide @ X1 @ (divide @ X2 @ X0)) @ (divide @ X1 @ X2))
% 1.32/1.17 = (X0))),
% 1.32/1.17 inference('cnf', [status(esa)], [single_axiom])).
% 1.32/1.17 thf(zip_derived_cl150, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.17 ((divide @ (divide @ X3 @ (divide @ X1 @ X0)) @ (divide @ X3 @ X1))
% 1.32/1.17 = (divide @ X0 @ (divide @ X2 @ X2)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl0, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ (divide @ X1 @ (divide @ X2 @ X0)) @ (divide @ X1 @ X2))
% 1.32/1.17 = (X0))),
% 1.32/1.17 inference('cnf', [status(esa)], [single_axiom])).
% 1.32/1.17 thf(zip_derived_cl184, plain,
% 1.32/1.17 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl329, plain,
% 1.32/1.17 (![X1 : $i, X2 : $i]: ((multiply @ (divide @ X1 @ X2) @ X2) = (X1))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl184])).
% 1.32/1.17 thf(zip_derived_cl330, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 (((multiply @ (divide @ X0 @ X0) @ a2) != (a2))
% 1.32/1.17 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.32/1.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.32/1.17 | ((multiply @ (inverse @ a1) @ a1)
% 1.32/1.17 != (multiply @ (inverse @ b1) @ b1))
% 1.32/1.17 | ((multiply @ a4 @ b4)
% 1.32/1.17 != (divide @ b4 @ (divide @ (divide @ X1 @ X1) @ a4))))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl329])).
% 1.32/1.17 thf(zip_derived_cl30, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 1.32/1.17 inference('demod', [status(thm)],
% 1.32/1.17 [zip_derived_cl27, zip_derived_cl2, zip_derived_cl8])).
% 1.32/1.17 thf(zip_derived_cl329, plain,
% 1.32/1.17 (![X1 : $i, X2 : $i]: ((multiply @ (divide @ X1 @ X2) @ X2) = (X1))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl184])).
% 1.32/1.17 thf(zip_derived_cl335, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X0) @ X1) = (X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl329])).
% 1.32/1.17 thf(zip_derived_cl374, plain,
% 1.32/1.17 (![X1 : $i]:
% 1.32/1.17 (((a2) != (a2))
% 1.32/1.17 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.32/1.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.32/1.17 | ((multiply @ (inverse @ a1) @ a1)
% 1.32/1.17 != (multiply @ (inverse @ b1) @ b1))
% 1.32/1.17 | ((multiply @ a4 @ b4)
% 1.32/1.17 != (divide @ b4 @ (divide @ (divide @ X1 @ X1) @ a4))))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl330, zip_derived_cl335])).
% 1.32/1.17 thf(zip_derived_cl375, plain,
% 1.32/1.17 (![X1 : $i]:
% 1.32/1.17 (((multiply @ a4 @ b4)
% 1.32/1.17 != (divide @ b4 @ (divide @ (divide @ X1 @ X1) @ a4)))
% 1.32/1.17 | ((multiply @ (inverse @ a1) @ a1)
% 1.32/1.17 != (multiply @ (inverse @ b1) @ b1))
% 1.32/1.17 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.32/1.17 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.32/1.17 inference('simplify', [status(thm)], [zip_derived_cl374])).
% 1.32/1.17 thf(zip_derived_cl377, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 (((multiply @ (inverse @ a1) @ a1)
% 1.32/1.17 != (multiply @ (divide @ (divide @ X0 @ X0) @ b1) @ b1))
% 1.32/1.17 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.32/1.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.32/1.17 | ((multiply @ a4 @ b4)
% 1.32/1.17 != (divide @ b4 @ (divide @ (divide @ X1 @ X1) @ a4))))),
% 1.32/1.17 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl375])).
% 1.32/1.17 thf(zip_derived_cl329, plain,
% 1.32/1.17 (![X1 : $i, X2 : $i]: ((multiply @ (divide @ X1 @ X2) @ X2) = (X1))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl184])).
% 1.32/1.17 thf(zip_derived_cl378, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 (((multiply @ (inverse @ a1) @ a1) != (divide @ X0 @ X0))
% 1.32/1.17 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.32/1.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.32/1.17 | ((multiply @ a4 @ b4)
% 1.32/1.17 != (divide @ b4 @ (divide @ (divide @ X1 @ X1) @ a4))))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl377, zip_derived_cl329])).
% 1.32/1.17 thf(zip_derived_cl2, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.17 inference('cnf', [status(esa)], [inverse])).
% 1.32/1.17 thf(zip_derived_cl82, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X2 @ (divide @ X1 @ (divide @ X0 @ X0)))
% 1.32/1.17 = (divide @ X2 @ X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl21])).
% 1.32/1.17 thf(zip_derived_cl21, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X0 @ (divide @ X2 @ (divide @ X1 @ (divide @ X0 @ X2))))
% 1.32/1.17 = (X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl166, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl21])).
% 1.32/1.17 thf(zip_derived_cl209, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl166])).
% 1.32/1.17 thf(zip_derived_cl2, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.17 inference('cnf', [status(esa)], [inverse])).
% 1.32/1.17 thf(zip_derived_cl214, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((divide @ (divide @ X1 @ X1) @ (divide @ (divide @ X0 @ X0) @ X0))
% 1.32/1.17 = (X0))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl2])).
% 1.32/1.17 thf(zip_derived_cl30, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 1.32/1.17 inference('demod', [status(thm)],
% 1.32/1.17 [zip_derived_cl27, zip_derived_cl2, zip_derived_cl8])).
% 1.32/1.17 thf(zip_derived_cl166, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl21])).
% 1.32/1.17 thf(zip_derived_cl81, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X2 @ X0)
% 1.32/1.17 = (divide @ (divide @ X2 @ X1) @ (divide @ X0 @ X1)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl21])).
% 1.32/1.17 thf(zip_derived_cl192, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X2 @ X1)
% 1.32/1.17 = (divide @ (divide @ X2 @ (divide @ X1 @ X0)) @ X0))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl81])).
% 1.32/1.17 thf(zip_derived_cl478, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ (divide @ X2 @ X1) @ X2)
% 1.32/1.17 = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl192])).
% 1.32/1.17 thf(zip_derived_cl329, plain,
% 1.32/1.17 (![X1 : $i, X2 : $i]: ((multiply @ (divide @ X1 @ X2) @ X2) = (X1))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl184])).
% 1.32/1.17 thf(zip_derived_cl603, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((multiply @ (divide @ (divide @ X1 @ X1) @ X0) @ X2)
% 1.32/1.17 = (divide @ X2 @ X0))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl478, zip_derived_cl329])).
% 1.32/1.17 thf(zip_derived_cl1812, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((multiply @ X0 @ X1)
% 1.32/1.17 = (divide @ X1 @ (divide @ (divide @ X0 @ X0) @ X0)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl603])).
% 1.32/1.17 thf(zip_derived_cl1812, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((multiply @ X0 @ X1)
% 1.32/1.17 = (divide @ X1 @ (divide @ (divide @ X0 @ X0) @ X0)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl603])).
% 1.32/1.17 thf(zip_derived_cl8, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X0 @ (divide @ (divide @ X2 @ (divide @ X1 @ X0)) @ X2))
% 1.32/1.17 = (X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl166, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl21])).
% 1.32/1.17 thf(zip_derived_cl205, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X2 @ X0)
% 1.32/1.17 = (divide @ (divide @ X1 @ (divide @ X0 @ X2)) @ X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl166])).
% 1.32/1.17 thf(zip_derived_cl329, plain,
% 1.32/1.17 (![X1 : $i, X2 : $i]: ((multiply @ (divide @ X1 @ X2) @ X2) = (X1))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl184])).
% 1.32/1.17 thf(zip_derived_cl667, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((multiply @ (divide @ X1 @ X0) @ X2)
% 1.32/1.17 = (divide @ X2 @ (divide @ X0 @ X1)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl329])).
% 1.32/1.17 thf(zip_derived_cl1812, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((multiply @ X0 @ X1)
% 1.32/1.17 = (divide @ X1 @ (divide @ (divide @ X0 @ X0) @ X0)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl603])).
% 1.32/1.17 thf(zip_derived_cl0, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ (divide @ X1 @ (divide @ X2 @ X0)) @ (divide @ X1 @ X2))
% 1.32/1.17 = (X0))),
% 1.32/1.17 inference('cnf', [status(esa)], [single_axiom])).
% 1.32/1.17 thf(zip_derived_cl329, plain,
% 1.32/1.17 (![X1 : $i, X2 : $i]: ((multiply @ (divide @ X1 @ X2) @ X2) = (X1))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl184])).
% 1.32/1.17 thf(zip_derived_cl345, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((multiply @ X0 @ (divide @ X2 @ X1))
% 1.32/1.17 = (divide @ X2 @ (divide @ X1 @ X0)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl329])).
% 1.32/1.17 thf(zip_derived_cl81, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X2 @ X0)
% 1.32/1.17 = (divide @ (divide @ X2 @ X1) @ (divide @ X0 @ X1)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl21])).
% 1.32/1.17 thf(zip_derived_cl192, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X2 @ X1)
% 1.32/1.17 = (divide @ (divide @ X2 @ (divide @ X1 @ X0)) @ X0))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl81])).
% 1.32/1.17 thf(zip_derived_cl488, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ (divide @ X1 @ X2) @ X0)
% 1.32/1.17 = (divide @ (divide @ X1 @ X0) @ X2))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl192])).
% 1.32/1.17 thf(zip_derived_cl2, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.17 inference('cnf', [status(esa)], [inverse])).
% 1.32/1.17 thf(zip_derived_cl1812, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((multiply @ X0 @ X1)
% 1.32/1.17 = (divide @ X1 @ (divide @ (divide @ X0 @ X0) @ X0)))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl603])).
% 1.32/1.17 thf(zip_derived_cl1886, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 (((divide @ a1 @
% 1.32/1.17 (divide @ (divide @ (inverse @ a1) @ (inverse @ a1)) @
% 1.32/1.17 (inverse @ a1)))
% 1.32/1.17 != (divide @ X0 @ X0))
% 1.32/1.17 | ((divide @ c3 @ (divide @ (divide @ (divide @ a3 @ a3) @ a3) @ b3))
% 1.32/1.17 != (divide @ c3 @ (divide @ (inverse @ a3) @ b3)))
% 1.32/1.17 | ((divide @ b4 @ (divide @ (divide @ a4 @ a4) @ a4))
% 1.32/1.17 != (divide @ b4 @ (divide @ (divide @ X1 @ X1) @ a4))))),
% 1.32/1.17 inference('demod', [status(thm)],
% 1.32/1.17 [zip_derived_cl378, zip_derived_cl1812, zip_derived_cl1812,
% 1.32/1.17 zip_derived_cl667, zip_derived_cl1812, zip_derived_cl345,
% 1.32/1.17 zip_derived_cl488, zip_derived_cl2, zip_derived_cl1812])).
% 1.32/1.17 thf(zip_derived_cl2, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.17 inference('cnf', [status(esa)], [inverse])).
% 1.32/1.17 thf(zip_derived_cl478, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ (divide @ X2 @ X1) @ X2)
% 1.32/1.17 = (divide @ (divide @ X0 @ X0) @ X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl192])).
% 1.32/1.17 thf(zip_derived_cl1887, plain,
% 1.32/1.17 (![X0 : $i]:
% 1.32/1.17 ((divide @ a1 @
% 1.32/1.17 (divide @ (divide @ (inverse @ a1) @ (inverse @ a1)) @
% 1.32/1.17 (inverse @ a1)))
% 1.32/1.17 != (divide @ X0 @ X0))),
% 1.32/1.17 inference('simplify_reflect+', [status(thm)],
% 1.32/1.17 [zip_derived_cl1886, zip_derived_cl2, zip_derived_cl478])).
% 1.32/1.17 thf(zip_derived_cl1979, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]:
% 1.32/1.17 ((divide @ a1 @
% 1.32/1.17 (divide @
% 1.32/1.17 (divide @ (inverse @ a1) @ (divide @ (divide @ X0 @ X0) @ a1)) @
% 1.32/1.17 (inverse @ a1)))
% 1.32/1.17 != (divide @ X1 @ X1))),
% 1.32/1.17 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1887])).
% 1.32/1.17 thf(zip_derived_cl205, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.17 ((divide @ X2 @ X0)
% 1.32/1.17 = (divide @ (divide @ X1 @ (divide @ X0 @ X2)) @ X1))),
% 1.32/1.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl166])).
% 1.32/1.17 thf(zip_derived_cl184, plain,
% 1.32/1.17 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 1.32/1.17 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl0])).
% 1.32/1.17 thf(zip_derived_cl1989, plain,
% 1.32/1.17 (![X1 : $i]: ((divide @ a1 @ a1) != (divide @ X1 @ X1))),
% 1.32/1.17 inference('demod', [status(thm)],
% 1.32/1.17 [zip_derived_cl1979, zip_derived_cl205, zip_derived_cl184])).
% 1.32/1.17 thf(zip_derived_cl30, plain,
% 1.32/1.17 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 1.32/1.17 inference('demod', [status(thm)],
% 1.32/1.17 [zip_derived_cl27, zip_derived_cl2, zip_derived_cl8])).
% 1.32/1.17 thf(zip_derived_cl1990, plain, ($false),
% 1.32/1.17 inference('simplify_reflect+', [status(thm)],
% 1.32/1.17 [zip_derived_cl1989, zip_derived_cl30])).
% 1.32/1.17
% 1.32/1.17 % SZS output end Refutation
% 1.32/1.17
% 1.32/1.17
% 1.32/1.17 % Terminating...
% 1.77/1.29 % Runner terminated.
% 1.77/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------