TSTP Solution File: GRP523-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP523-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pFludyrdnz true
% Computer : n020.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 01:51:58 EDT 2023
% Result : Unsatisfiable 6.31s 1.54s
% Output : Refutation 6.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP523-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pFludyrdnz true
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 01:47:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.31/1.54 % Solved by fo/fo5.sh.
% 6.31/1.54 % done 737 iterations in 0.783s
% 6.31/1.54 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.31/1.54 % SZS output start Refutation
% 6.31/1.54 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.31/1.54 thf(c3_type, type, c3: $i).
% 6.31/1.54 thf(b3_type, type, b3: $i).
% 6.31/1.54 thf(a3_type, type, a3: $i).
% 6.31/1.54 thf(divide_type, type, divide: $i > $i > $i).
% 6.31/1.54 thf(inverse_type, type, inverse: $i > $i).
% 6.31/1.54 thf(prove_these_axioms_3, conjecture,
% 6.31/1.54 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 6.31/1.54 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 6.31/1.54 thf(zf_stmt_0, negated_conjecture,
% 6.31/1.54 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 6.31/1.54 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 6.31/1.54 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 6.31/1.54 thf(zip_derived_cl3, plain,
% 6.31/1.54 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.31/1.54 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 6.31/1.54 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.31/1.54 thf(multiply, axiom,
% 6.31/1.54 (( multiply @ A @ B ) =
% 6.31/1.54 ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ))).
% 6.31/1.54 thf(zip_derived_cl1, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X0 @ X2)
% 6.31/1.54 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 6.31/1.54 inference('cnf', [status(esa)], [multiply])).
% 6.31/1.54 thf(inverse, axiom, (( inverse @ A ) = ( divide @ ( divide @ B @ B ) @ A ))).
% 6.31/1.54 thf(zip_derived_cl2, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 6.31/1.54 inference('cnf', [status(esa)], [inverse])).
% 6.31/1.54 thf(zip_derived_cl6, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl2, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 6.31/1.54 inference('cnf', [status(esa)], [inverse])).
% 6.31/1.54 thf(zip_derived_cl8, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ (inverse @ X0)) = (multiply @ (divide @ X1 @ X1) @ X0))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl8, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ (inverse @ X0)) = (multiply @ (divide @ X1 @ X1) @ X0))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl2, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 6.31/1.54 inference('cnf', [status(esa)], [inverse])).
% 6.31/1.54 thf(single_axiom, axiom,
% 6.31/1.54 (( divide @ A @ ( divide @ B @ ( divide @ C @ ( divide @ A @ B ) ) ) ) =
% 6.31/1.54 ( C ))).
% 6.31/1.54 thf(zip_derived_cl0, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 6.31/1.54 = (X0))),
% 6.31/1.54 inference('cnf', [status(esa)], [single_axiom])).
% 6.31/1.54 thf(zip_derived_cl11, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((inverse @
% 6.31/1.54 (divide @ X0 @ (divide @ X2 @ (divide @ (divide @ X1 @ X1) @ X0))))
% 6.31/1.54 = (X2))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 6.31/1.54 thf(zip_derived_cl2, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 6.31/1.54 inference('cnf', [status(esa)], [inverse])).
% 6.31/1.54 thf(zip_derived_cl6, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl18, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((inverse @ (divide @ X0 @ (multiply @ X2 @ X0))) = (X2))),
% 6.31/1.54 inference('demod', [status(thm)],
% 6.31/1.54 [zip_derived_cl11, zip_derived_cl2, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl23, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ (divide @ X0 @ (inverse @ (inverse @ X0))))
% 6.31/1.54 = (divide @ X1 @ X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl18])).
% 6.31/1.54 thf(zip_derived_cl6, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl26, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ (multiply @ X0 @ (inverse @ X0))) = (divide @ X1 @ X1))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl26, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ (multiply @ X0 @ (inverse @ X0))) = (divide @ X1 @ X1))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl126, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl26])).
% 6.31/1.54 thf(zip_derived_cl0, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 6.31/1.54 = (X0))),
% 6.31/1.54 inference('cnf', [status(esa)], [single_axiom])).
% 6.31/1.54 thf(zip_derived_cl0, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 6.31/1.54 = (X0))),
% 6.31/1.54 inference('cnf', [status(esa)], [single_axiom])).
% 6.31/1.54 thf(zip_derived_cl10, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((divide @ X2 @ (divide @ (divide @ X0 @ (divide @ X1 @ X2)) @ X0))
% 6.31/1.54 = (X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.31/1.54 thf(zip_derived_cl226, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((divide @ X2 @ (divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X2)))
% 6.31/1.54 = (X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl10])).
% 6.31/1.54 thf(zip_derived_cl2, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 6.31/1.54 inference('cnf', [status(esa)], [inverse])).
% 6.31/1.54 thf(zip_derived_cl6, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl246, plain,
% 6.31/1.54 (![X1 : $i, X2 : $i]: ((multiply @ X2 @ (divide @ X1 @ X2)) = (X1))),
% 6.31/1.54 inference('demod', [status(thm)],
% 6.31/1.54 [zip_derived_cl226, zip_derived_cl2, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl2, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 6.31/1.54 inference('cnf', [status(esa)], [inverse])).
% 6.31/1.54 thf(zip_derived_cl18, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((inverse @ (divide @ X0 @ (multiply @ X2 @ X0))) = (X2))),
% 6.31/1.54 inference('demod', [status(thm)],
% 6.31/1.54 [zip_derived_cl11, zip_derived_cl2, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl22, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ (inverse @ (multiply @ X1 @ (divide @ X0 @ X0)))) = (X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl18])).
% 6.31/1.54 thf(zip_derived_cl257, plain,
% 6.31/1.54 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl22])).
% 6.31/1.54 thf(zip_derived_cl271, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ (divide @ X1 @ X1) @ X0))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl257])).
% 6.31/1.54 thf(zip_derived_cl246, plain,
% 6.31/1.54 (![X1 : $i, X2 : $i]: ((multiply @ X2 @ (divide @ X1 @ X2)) = (X1))),
% 6.31/1.54 inference('demod', [status(thm)],
% 6.31/1.54 [zip_derived_cl226, zip_derived_cl2, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl302, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl271, zip_derived_cl246])).
% 6.31/1.54 thf(zip_derived_cl0, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 6.31/1.54 = (X0))),
% 6.31/1.54 inference('cnf', [status(esa)], [single_axiom])).
% 6.31/1.54 thf(zip_derived_cl338, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl302, zip_derived_cl0])).
% 6.31/1.54 thf(zip_derived_cl246, plain,
% 6.31/1.54 (![X1 : $i, X2 : $i]: ((multiply @ X2 @ (divide @ X1 @ X2)) = (X1))),
% 6.31/1.54 inference('demod', [status(thm)],
% 6.31/1.54 [zip_derived_cl226, zip_derived_cl2, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl379, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X0) @ X0) = (X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl246])).
% 6.31/1.54 thf(zip_derived_cl257, plain,
% 6.31/1.54 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl22])).
% 6.31/1.54 thf(zip_derived_cl6, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl276, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((multiply @ X1 @ (inverse @ X0)) = (divide @ X1 @ X0))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl257, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl413, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((X0) = (divide @ (divide @ X0 @ (inverse @ X1)) @ X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl379, zip_derived_cl276])).
% 6.31/1.54 thf(zip_derived_cl6, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl427, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X0 @ X1) @ X1))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl413, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl246, plain,
% 6.31/1.54 (![X1 : $i, X2 : $i]: ((multiply @ X2 @ (divide @ X1 @ X2)) = (X1))),
% 6.31/1.54 inference('demod', [status(thm)],
% 6.31/1.54 [zip_derived_cl226, zip_derived_cl2, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl430, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl246])).
% 6.31/1.54 thf(zip_derived_cl430, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl246])).
% 6.31/1.54 thf(zip_derived_cl448, plain,
% 6.31/1.54 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 6.31/1.54 != (multiply @ a3 @ (multiply @ c3 @ b3)))),
% 6.31/1.54 inference('demod', [status(thm)],
% 6.31/1.54 [zip_derived_cl3, zip_derived_cl430, zip_derived_cl430])).
% 6.31/1.54 thf(zip_derived_cl427, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X0 @ X1) @ X1))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl413, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl6, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl0, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 6.31/1.54 = (X0))),
% 6.31/1.54 inference('cnf', [status(esa)], [single_axiom])).
% 6.31/1.54 thf(zip_derived_cl16, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((divide @ X1 @
% 6.31/1.54 (divide @ (inverse @ X0) @ (divide @ X2 @ (multiply @ X1 @ X0))))
% 6.31/1.54 = (X2))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 6.31/1.54 thf(zip_derived_cl6, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl379, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X0) @ X0) = (X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl246])).
% 6.31/1.54 thf(zip_derived_cl18, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((inverse @ (divide @ X0 @ (multiply @ X2 @ X0))) = (X2))),
% 6.31/1.54 inference('demod', [status(thm)],
% 6.31/1.54 [zip_derived_cl11, zip_derived_cl2, zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl411, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl379, zip_derived_cl18])).
% 6.31/1.54 thf(zip_derived_cl518, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]:
% 6.31/1.54 ((inverse @ (multiply @ X1 @ X0)) = (divide @ (inverse @ X0) @ X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl411])).
% 6.31/1.54 thf(zip_derived_cl430, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl246])).
% 6.31/1.54 thf(zip_derived_cl6, plain,
% 6.31/1.54 (![X0 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 6.31/1.54 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.31/1.54 thf(zip_derived_cl1727, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X1 @
% 6.31/1.54 (multiply @ X0 @ (divide @ X2 @ (multiply @ X1 @ X0)))) = (X2))),
% 6.31/1.54 inference('demod', [status(thm)],
% 6.31/1.54 [zip_derived_cl16, zip_derived_cl518, zip_derived_cl430,
% 6.31/1.54 zip_derived_cl6])).
% 6.31/1.54 thf(zip_derived_cl4817, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.31/1.54 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 6.31/1.54 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl1727])).
% 6.31/1.54 thf(zip_derived_cl430, plain,
% 6.31/1.54 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 6.31/1.54 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl246])).
% 6.31/1.54 thf(zip_derived_cl5018, plain,
% 6.31/1.54 (((multiply @ a3 @ (multiply @ c3 @ b3))
% 6.31/1.54 != (multiply @ a3 @ (multiply @ c3 @ b3)))),
% 6.31/1.54 inference('demod', [status(thm)],
% 6.31/1.54 [zip_derived_cl448, zip_derived_cl4817, zip_derived_cl430])).
% 6.31/1.54 thf(zip_derived_cl5019, plain, ($false),
% 6.31/1.54 inference('simplify', [status(thm)], [zip_derived_cl5018])).
% 6.31/1.54
% 6.31/1.54 % SZS output end Refutation
% 6.31/1.54
% 6.31/1.54
% 6.31/1.55 % Terminating...
% 7.28/1.64 % Runner terminated.
% 7.28/1.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------