TSTP Solution File: GRP477-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP477-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.U4jVzUTHjR true
% Computer : n006.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 01:51:48 EDT 2023
% Result : Unsatisfiable 42.21s 6.65s
% Output : Refutation 42.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP477-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.U4jVzUTHjR true
% 0.14/0.35 % Computer : n006.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 : Mon Aug 28 23:29:36 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 42.21/6.65 % Solved by fo/fo7.sh.
% 42.21/6.65 % done 2879 iterations in 5.867s
% 42.21/6.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 42.21/6.65 % SZS output start Refutation
% 42.21/6.65 thf(a3_type, type, a3: $i).
% 42.21/6.65 thf(multiply_type, type, multiply: $i > $i > $i).
% 42.21/6.65 thf(inverse_type, type, inverse: $i > $i).
% 42.21/6.65 thf(c3_type, type, c3: $i).
% 42.21/6.65 thf(divide_type, type, divide: $i > $i > $i).
% 42.21/6.65 thf(b3_type, type, b3: $i).
% 42.21/6.65 thf(prove_these_axioms_3, conjecture,
% 42.21/6.65 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 42.21/6.65 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 42.21/6.65 thf(zf_stmt_0, negated_conjecture,
% 42.21/6.65 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 42.21/6.65 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 42.21/6.65 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 42.21/6.65 thf(zip_derived_cl2, plain,
% 42.21/6.65 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 42.21/6.65 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 42.21/6.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.21/6.65 thf(multiply, axiom,
% 42.21/6.65 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 42.21/6.65 thf(zip_derived_cl1, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]:
% 42.21/6.65 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 42.21/6.65 inference('cnf', [status(esa)], [multiply])).
% 42.21/6.65 thf(zip_derived_cl1, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]:
% 42.21/6.65 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 42.21/6.65 inference('cnf', [status(esa)], [multiply])).
% 42.21/6.65 thf(zip_derived_cl1, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]:
% 42.21/6.65 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 42.21/6.65 inference('cnf', [status(esa)], [multiply])).
% 42.21/6.65 thf(zip_derived_cl1, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]:
% 42.21/6.65 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 42.21/6.65 inference('cnf', [status(esa)], [multiply])).
% 42.21/6.65 thf(zip_derived_cl3, plain,
% 42.21/6.65 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 42.21/6.65 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 42.21/6.65 zip_derived_cl1, zip_derived_cl1])).
% 42.21/6.65 thf(single_axiom, axiom,
% 42.21/6.65 (( divide @
% 42.21/6.65 ( inverse @
% 42.21/6.65 ( divide @ ( divide @ ( divide @ A @ B ) @ C ) @ ( divide @ D @ C ) ) ) @
% 42.21/6.65 ( divide @ B @ A ) ) =
% 42.21/6.65 ( D ))).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl5, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X4 @ X5) @ (divide @ X2 @ X3)) @ X0)) @
% 42.21/6.65 (divide @ X5 @ X4))
% 42.21/6.65 = (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X3 @ X2) @ X1) @ (divide @ X0 @ X1))))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl76, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X0) @
% 42.21/6.65 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)))
% 42.21/6.65 = (X3))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl4, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @ (divide @ (divide @ X0 @ X5) @ (divide @ X1 @ X5))) @
% 42.21/6.65 (divide @ (divide @ X3 @ X4) @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ (divide @ X0 @ X2)))))
% 42.21/6.65 = (X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl107, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.21/6.65 ((divide @ X0 @
% 42.21/6.65 (divide @ (divide @ X4 @ X5) @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 42.21/6.65 (divide @ (divide @ X1 @ X2) @ X3)))))
% 42.21/6.65 = (divide @ X0 @ (divide @ X2 @ X1)))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl4])).
% 42.21/6.65 thf(zip_derived_cl5, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X4 @ X5) @ (divide @ X2 @ X3)) @ X0)) @
% 42.21/6.65 (divide @ X5 @ X4))
% 42.21/6.65 = (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X3 @ X2) @ X1) @ (divide @ X0 @ X1))))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl6, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ (divide @ X3 @ X2) @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X2 @ X3) @ X4) @
% 42.21/6.65 (divide @ X0 @ X4)))) @
% 42.21/6.65 X5) @
% 42.21/6.65 (divide @ X1 @ X5))) @
% 42.21/6.65 X0) = (X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl58, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ (divide @ X0 @ X1) @
% 42.21/6.65 (divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X3 @ X4) @ X5) @
% 42.21/6.65 (divide @ X6 @ X5))) @
% 42.21/6.65 (divide @ X4 @ X3))) @
% 42.21/6.65 X2)) @
% 42.21/6.65 (divide @ X1 @ X0)) @
% 42.21/6.65 X6) = (X2))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl103, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 42.21/6.65 (divide @ X1 @ X0)) @
% 42.21/6.65 X6) = (X2))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl103, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 42.21/6.65 (divide @ X1 @ X0)) @
% 42.21/6.65 X6) = (X2))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl153, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @ (inverse @ (divide @ X0 @ X1)) @
% 42.21/6.65 (divide @ (divide @ X3 @ X4) @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ X0)))) @
% 42.21/6.65 X2) = (X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl103])).
% 42.21/6.65 thf(zip_derived_cl660, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 42.21/6.65 X7 : $i, X8 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @ (inverse @ (divide @ X2 @ (divide @ X1 @ X0))) @
% 42.21/6.65 (divide @ (divide @ X7 @ X8) @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X8 @ X7) @ X6) @ X2)))) @
% 42.21/6.65 X6)
% 42.21/6.65 = (divide @ (divide @ X4 @ X5) @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 42.21/6.65 (divide @ (divide @ X0 @ X1) @ X3)))))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl153])).
% 42.21/6.65 thf(zip_derived_cl153, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @ (inverse @ (divide @ X0 @ X1)) @
% 42.21/6.65 (divide @ (divide @ X3 @ X4) @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ X0)))) @
% 42.21/6.65 X2) = (X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl103])).
% 42.21/6.65 thf(zip_derived_cl796, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.21/6.65 ((divide @ X1 @ X0)
% 42.21/6.65 = (divide @ (divide @ X4 @ X5) @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 42.21/6.65 (divide @ (divide @ X0 @ X1) @ X3)))))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl660, zip_derived_cl153])).
% 42.21/6.65 thf(zip_derived_cl103, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 42.21/6.65 (divide @ X1 @ X0)) @
% 42.21/6.65 X6) = (X2))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl889, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @ (inverse @ (divide @ X1 @ X0)) @ (divide @ X3 @ X4)) @ X5)
% 42.21/6.65 = (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X5 @ (divide @ X4 @ X3)) @ X2) @
% 42.21/6.65 (divide @ (divide @ X0 @ X1) @ X2))))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl796, zip_derived_cl103])).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl1170, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ (inverse @ (divide @ X4 @ X3)) @ (divide @ X2 @ X1)) @ X0) @
% 42.21/6.65 (divide @ (divide @ X1 @ X2) @ X0)) = (divide @ X3 @ X4))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl889, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl796, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.21/6.65 ((divide @ X1 @ X0)
% 42.21/6.65 = (divide @ (divide @ X4 @ X5) @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 42.21/6.65 (divide @ (divide @ X0 @ X1) @ X3)))))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl660, zip_derived_cl153])).
% 42.21/6.65 thf(zip_derived_cl1618, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 42.21/6.65 ((divide @ X3 @ X4)
% 42.21/6.65 = (divide @
% 42.21/6.65 (divide @ (divide @ X3 @ X4) @ (inverse @ (divide @ X0 @ X1))) @
% 42.21/6.65 (inverse @ (divide @ X1 @ X0))))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl1170, zip_derived_cl796])).
% 42.21/6.65 thf(zip_derived_cl103, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 42.21/6.65 (divide @ X1 @ X0)) @
% 42.21/6.65 X6) = (X2))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl76, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X0) @
% 42.21/6.65 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)))
% 42.21/6.65 = (X3))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl152, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.21/6.65 ((inverse @
% 42.21/6.65 (divide @ X0 @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ X1 @
% 42.21/6.65 (divide @ (divide @ X3 @ X4) @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X4 @ X3) @ X2) @ X0)))) @
% 42.21/6.65 X2)))
% 42.21/6.65 = (X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl76])).
% 42.21/6.65 thf(zip_derived_cl1958, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.21/6.65 ((inverse @
% 42.21/6.65 (divide @ (inverse @ (divide @ X3 @ X4)) @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ X2 @
% 42.21/6.65 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0)))) @
% 42.21/6.65 (inverse @ (divide @ X4 @ X3)))))
% 42.21/6.65 = (X2))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl1618, zip_derived_cl152])).
% 42.21/6.65 thf(zip_derived_cl1170, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ (inverse @ (divide @ X4 @ X3)) @ (divide @ X2 @ X1)) @ X0) @
% 42.21/6.65 (divide @ (divide @ X1 @ X2) @ X0)) = (divide @ X3 @ X4))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl889, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl1614, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @ (inverse @ (divide @ X1 @ X0)) @
% 42.21/6.65 (divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X0 @ X1))))
% 42.21/6.65 = (divide @ X3 @ X2))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl1170, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl2108, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((inverse @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))) @ X2))
% 42.21/6.65 = (X2))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl1958, zip_derived_cl1614])).
% 42.21/6.65 thf(zip_derived_cl6, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ (divide @ X3 @ X2) @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X2 @ X3) @ X4) @
% 42.21/6.65 (divide @ X0 @ X4)))) @
% 42.21/6.65 X5) @
% 42.21/6.65 (divide @ X1 @ X5))) @
% 42.21/6.65 X0) = (X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl2295, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @ X4 @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X0 @ X1) @ X2) @
% 42.21/6.65 (divide @ X3 @ X2))) @
% 42.21/6.65 (divide @ X1 @ X0)))) @
% 42.21/6.65 X3) = (X4))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl2108, zip_derived_cl6])).
% 42.21/6.65 thf(zip_derived_cl0, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ (divide @ X0 @ X3))) @
% 42.21/6.65 (divide @ X2 @ X1)) = (X0))),
% 42.21/6.65 inference('cnf', [status(esa)], [single_axiom])).
% 42.21/6.65 thf(zip_derived_cl2358, plain,
% 42.21/6.65 (![X3 : $i, X4 : $i]:
% 42.21/6.65 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl2108, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((inverse @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))) @ X2))
% 42.21/6.65 = (X2))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl1958, zip_derived_cl1614])).
% 42.21/6.65 thf(zip_derived_cl2455, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]:
% 42.21/6.65 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 42.21/6.65 thf(zip_derived_cl2484, plain,
% 42.21/6.65 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 42.21/6.65 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2455])).
% 42.21/6.65 thf(zip_derived_cl2358, plain,
% 42.21/6.65 (![X3 : $i, X4 : $i]:
% 42.21/6.65 ((divide @ (divide @ X4 @ (inverse @ X3)) @ X3) = (X4))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl2295, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl2108, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((inverse @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))) @ X2))
% 42.21/6.65 = (X2))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl1958, zip_derived_cl1614])).
% 42.21/6.65 thf(zip_derived_cl2455, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]:
% 42.21/6.65 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 42.21/6.65 thf(zip_derived_cl2455, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]:
% 42.21/6.65 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 42.21/6.65 thf(zip_derived_cl2501, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((divide @ X2 @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)))
% 42.21/6.65 = (X2))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl2108, zip_derived_cl2455, zip_derived_cl2455])).
% 42.21/6.65 thf(zip_derived_cl2501, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((divide @ X2 @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)))
% 42.21/6.65 = (X2))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl2108, zip_derived_cl2455, zip_derived_cl2455])).
% 42.21/6.65 thf(zip_derived_cl3132, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((divide @ X1 @
% 42.21/6.65 (divide @
% 42.21/6.65 (divide @ X0 @ (divide @ (divide @ X3 @ X2) @ (divide @ X3 @ X2))) @
% 42.21/6.65 X0))
% 42.21/6.65 = (X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl2501, zip_derived_cl2501])).
% 42.21/6.65 thf(zip_derived_cl2501, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((divide @ X2 @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)))
% 42.21/6.65 = (X2))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl2108, zip_derived_cl2455, zip_derived_cl2455])).
% 42.21/6.65 thf(zip_derived_cl3147, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl3132, zip_derived_cl2501])).
% 42.21/6.65 thf(zip_derived_cl103, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 42.21/6.65 (divide @ X1 @ X0)) @
% 42.21/6.65 X6) = (X2))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl1618, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 42.21/6.65 ((divide @ X3 @ X4)
% 42.21/6.65 = (divide @
% 42.21/6.65 (divide @ (divide @ X3 @ X4) @ (inverse @ (divide @ X0 @ X1))) @
% 42.21/6.65 (inverse @ (divide @ X1 @ X0))))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl1170, zip_derived_cl796])).
% 42.21/6.65 thf(zip_derived_cl2016, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X4 @ X5) @ X3) @ X0)) @
% 42.21/6.65 (divide @ X5 @ X4)) @
% 42.21/6.65 X3)
% 42.21/6.65 = (divide @ (divide @ X0 @ (inverse @ (divide @ X1 @ X2))) @
% 42.21/6.65 (inverse @ (divide @ X2 @ X1))))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl1618])).
% 42.21/6.65 thf(zip_derived_cl103, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 42.21/6.65 ((divide @
% 42.21/6.65 (divide @
% 42.21/6.65 (inverse @ (divide @ (divide @ (divide @ X0 @ X1) @ X6) @ X2)) @
% 42.21/6.65 (divide @ X1 @ X0)) @
% 42.21/6.65 X6) = (X2))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl2046, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((X0)
% 42.21/6.65 = (divide @ (divide @ X0 @ (inverse @ (divide @ X1 @ X2))) @
% 42.21/6.65 (inverse @ (divide @ X2 @ X1))))),
% 42.21/6.65 inference('demod', [status(thm)], [zip_derived_cl2016, zip_derived_cl103])).
% 42.21/6.65 thf(zip_derived_cl2455, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]:
% 42.21/6.65 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 42.21/6.65 thf(zip_derived_cl2455, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]:
% 42.21/6.65 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 42.21/6.65 thf(zip_derived_cl2500, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((X0)
% 42.21/6.65 = (divide @ (divide @ X0 @ (divide @ X2 @ X1)) @ (divide @ X1 @ X2)))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl2046, zip_derived_cl2455, zip_derived_cl2455])).
% 42.21/6.65 thf(zip_derived_cl3185, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((X2)
% 42.21/6.65 = (divide @ (divide @ X2 @ X0) @ (divide @ (divide @ X1 @ X1) @ X0)))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl3147, zip_derived_cl2500])).
% 42.21/6.65 thf(zip_derived_cl76, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ X2) @ X0) @
% 42.21/6.65 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)))
% 42.21/6.65 = (X3))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 42.21/6.65 thf(zip_derived_cl4066, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.21/6.65 ((inverse @
% 42.21/6.65 (divide @ (divide @ (divide @ X1 @ (divide @ X3 @ X3)) @ X2) @
% 42.21/6.65 (divide @ X0 @ X2)))
% 42.21/6.65 = (divide @ X0 @ X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl3185, zip_derived_cl76])).
% 42.21/6.65 thf(zip_derived_cl3147, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl3132, zip_derived_cl2501])).
% 42.21/6.65 thf(zip_derived_cl2455, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i]:
% 42.21/6.65 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl2108])).
% 42.21/6.65 thf(zip_derived_cl4136, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))
% 42.21/6.65 = (divide @ X0 @ X1))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl4066, zip_derived_cl3147, zip_derived_cl2455])).
% 42.21/6.65 thf(zip_derived_cl4226, plain,
% 42.21/6.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.21/6.65 ((divide @ X0 @ (divide @ X1 @ X2))
% 42.21/6.65 = (divide @ (divide @ X0 @ (inverse @ X2)) @ X1))),
% 42.21/6.65 inference('sup+', [status(thm)], [zip_derived_cl2358, zip_derived_cl4136])).
% 42.21/6.65 thf(zip_derived_cl19070, plain,
% 42.21/6.65 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 42.21/6.65 != (divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3)))),
% 42.21/6.65 inference('demod', [status(thm)],
% 42.21/6.65 [zip_derived_cl2484, zip_derived_cl4226])).
% 42.21/6.65 thf(zip_derived_cl19071, plain, ($false),
% 42.21/6.65 inference('simplify', [status(thm)], [zip_derived_cl19070])).
% 42.21/6.65
% 42.21/6.65 % SZS output end Refutation
% 42.21/6.65
% 42.21/6.65
% 42.21/6.65 % Terminating...
% 42.94/6.78 % Runner terminated.
% 42.94/6.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------