TSTP Solution File: ALG007-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG007-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O6YINmjCi6 true
% Computer : n027.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 : Wed Aug 30 17:10:02 EDT 2023
% Result : Unsatisfiable 232.61s 34.23s
% Output : Refutation 232.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG007-1 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O6YINmjCi6 true
% 0.14/0.34 % Computer : n027.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 04:33:51 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
% 0.21/0.61 % Total configuration time : 435
% 0.21/0.61 % Estimated wc time : 1092
% 0.21/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /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/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 232.61/34.23 % Solved by fo/fo7.sh.
% 232.61/34.23 % done 27109 iterations in 33.458s
% 232.61/34.23 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 232.61/34.23 % SZS output start Refutation
% 232.61/34.23 thf(c_type, type, c: $i).
% 232.61/34.23 thf(b_type, type, b: $i).
% 232.61/34.23 thf(a_type, type, a: $i).
% 232.61/34.23 thf(difference_type, type, difference: $i > $i > $i).
% 232.61/34.23 thf(prove_set_difference_3, conjecture,
% 232.61/34.23 (( difference @ ( difference @ a @ b ) @ c ) =
% 232.61/34.23 ( difference @ ( difference @ a @ c ) @ ( difference @ b @ c ) ))).
% 232.61/34.23 thf(zf_stmt_0, negated_conjecture,
% 232.61/34.23 (( difference @ ( difference @ a @ b ) @ c ) !=
% 232.61/34.23 ( difference @ ( difference @ a @ c ) @ ( difference @ b @ c ) )),
% 232.61/34.23 inference('cnf.neg', [status(esa)], [prove_set_difference_3])).
% 232.61/34.23 thf(zip_derived_cl3, plain,
% 232.61/34.23 (((difference @ (difference @ a @ b) @ c)
% 232.61/34.23 != (difference @ (difference @ a @ c) @ (difference @ b @ c)))),
% 232.61/34.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 232.61/34.23 thf(set_difference_1, axiom,
% 232.61/34.23 (( difference @ X @ ( difference @ Y @ X ) ) = ( X ))).
% 232.61/34.23 thf(zip_derived_cl0, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_1])).
% 232.61/34.23 thf(set_difference_2, axiom,
% 232.61/34.23 (( difference @ X @ ( difference @ X @ Y ) ) =
% 232.61/34.23 ( difference @ Y @ ( difference @ Y @ X ) ))).
% 232.61/34.23 thf(zip_derived_cl1, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ X1 @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ (difference @ X0 @ X1)))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_2])).
% 232.61/34.23 thf(set_difference_3_simplified, axiom,
% 232.61/34.23 (( difference @ ( difference @ X @ Y ) @ Z ) =
% 232.61/34.23 ( difference @ ( difference @ X @ Z ) @ Y ))).
% 232.61/34.23 thf(zip_derived_cl2, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X2) @ X1)
% 232.61/34.23 = (difference @ (difference @ X0 @ X1) @ X2))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_3_simplified])).
% 232.61/34.23 thf(zip_derived_cl145, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ (difference @ X1 @ X0)) @ X2)
% 232.61/34.23 = (difference @ (difference @ X0 @ X2) @ (difference @ X0 @ X1)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 232.61/34.23 thf(zip_derived_cl0, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_1])).
% 232.61/34.23 thf(zip_derived_cl2, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X2) @ X1)
% 232.61/34.23 = (difference @ (difference @ X0 @ X1) @ X2))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_3_simplified])).
% 232.61/34.23 thf(zip_derived_cl144, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X0 @ X2)
% 232.61/34.23 = (difference @ (difference @ X0 @ X2) @ (difference @ X1 @ X0)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 232.61/34.23 thf(zip_derived_cl4466, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X0 @ (difference @ X0 @ X1))
% 232.61/34.23 = (difference @ (difference @ X1 @ (difference @ X2 @ X0)) @
% 232.61/34.23 (difference @ X1 @ X0)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl144])).
% 232.61/34.23 thf(zip_derived_cl4466, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X0 @ (difference @ X0 @ X1))
% 232.61/34.23 = (difference @ (difference @ X1 @ (difference @ X2 @ X0)) @
% 232.61/34.23 (difference @ X1 @ X0)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl144])).
% 232.61/34.23 thf(zip_derived_cl73564, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X1 @
% 232.61/34.23 (difference @ X1 @ (difference @ X0 @ (difference @ X2 @ X1))))
% 232.61/34.23 = (difference @ (difference @ X1 @ (difference @ X1 @ X0)) @
% 232.61/34.23 (difference @ (difference @ X0 @ (difference @ X2 @ X1)) @ X1)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl4466, zip_derived_cl4466])).
% 232.61/34.23 thf(zip_derived_cl2, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X2) @ X1)
% 232.61/34.23 = (difference @ (difference @ X0 @ X1) @ X2))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_3_simplified])).
% 232.61/34.23 thf(zip_derived_cl2, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X2) @ X1)
% 232.61/34.23 = (difference @ (difference @ X0 @ X1) @ X2))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_3_simplified])).
% 232.61/34.23 thf(zip_derived_cl0, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_1])).
% 232.61/34.23 thf(zip_derived_cl123, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X1 @ (difference @ (difference @ X2 @ X1) @ X0)) = (X1))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl2, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X2) @ X1)
% 232.61/34.23 = (difference @ (difference @ X0 @ X1) @ X2))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_3_simplified])).
% 232.61/34.23 thf(zip_derived_cl169, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X1) @
% 232.61/34.23 (difference @ (difference @ X3 @ X0) @ X2)) = (difference @ X0 @ X1))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl2])).
% 232.61/34.23 thf(zip_derived_cl73935, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X1 @
% 232.61/34.23 (difference @ X1 @ (difference @ X0 @ (difference @ X2 @ X1))))
% 232.61/34.23 = (difference @ X1 @ (difference @ X1 @ X0)))),
% 232.61/34.23 inference('demod', [status(thm)],
% 232.61/34.23 [zip_derived_cl73564, zip_derived_cl2, zip_derived_cl169])).
% 232.61/34.23 thf(zip_derived_cl1, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ X1 @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ (difference @ X0 @ X1)))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_2])).
% 232.61/34.23 thf(zip_derived_cl0, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_1])).
% 232.61/34.23 thf(zip_derived_cl0, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_1])).
% 232.61/34.23 thf(zip_derived_cl4, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl14, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ (difference @ X1 @ X0)) @
% 232.61/34.23 (difference @ X0 @ X1)) = (difference @ X0 @ (difference @ X0 @ X1)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 232.61/34.23 thf(zip_derived_cl84022, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @
% 232.61/34.23 (difference @ X1 @ (difference @ X1 @ (difference @ X1 @ X0))) @
% 232.61/34.23 (difference @
% 232.61/34.23 (difference @ X1 @ (difference @ X0 @ (difference @ X2 @ X1))) @ X1))
% 232.61/34.23 = (difference @
% 232.61/34.23 (difference @ X1 @ (difference @ X0 @ (difference @ X2 @ X1))) @
% 232.61/34.23 (difference @
% 232.61/34.23 (difference @ X1 @ (difference @ X0 @ (difference @ X2 @ X1))) @
% 232.61/34.23 X1)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl73935, zip_derived_cl14])).
% 232.61/34.23 thf(zip_derived_cl123, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X1 @ (difference @ (difference @ X2 @ X1) @ X0)) = (X1))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl4, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl1, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ X1 @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ (difference @ X0 @ X1)))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_2])).
% 232.61/34.23 thf(zip_derived_cl19, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ (difference @ X0 @ (difference @ X1 @ X0))))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 232.61/34.23 thf(zip_derived_cl0, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_1])).
% 232.61/34.23 thf(zip_derived_cl21, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ X0))),
% 232.61/34.23 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl4, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl25, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 232.61/34.23 thf(zip_derived_cl21, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ X0))),
% 232.61/34.23 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl50, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ X0))),
% 232.61/34.23 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl21])).
% 232.61/34.23 thf(zip_derived_cl168, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @
% 232.61/34.23 (difference @ (difference @ (difference @ X2 @ X0) @ X1) @
% 232.61/34.23 (difference @ (difference @ X2 @ X0) @ X1)) @
% 232.61/34.23 X0)
% 232.61/34.23 = (difference @ (difference @ (difference @ X2 @ X0) @ X1) @
% 232.61/34.23 (difference @ (difference @ X2 @ X0) @ X1)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl50])).
% 232.61/34.23 thf(zip_derived_cl21, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ X0))),
% 232.61/34.23 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl21, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ X0))),
% 232.61/34.23 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl197, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X1) @ X0) = (difference @ X1 @ X1))),
% 232.61/34.23 inference('demod', [status(thm)],
% 232.61/34.23 [zip_derived_cl168, zip_derived_cl21, zip_derived_cl21])).
% 232.61/34.23 thf(zip_derived_cl2, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X2) @ X1)
% 232.61/34.23 = (difference @ (difference @ X0 @ X1) @ X2))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_3_simplified])).
% 232.61/34.23 thf(zip_derived_cl277, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X1) @ X0) = (difference @ X0 @ X0))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl2])).
% 232.61/34.23 thf(zip_derived_cl1, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ X1 @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ (difference @ X0 @ X1)))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_2])).
% 232.61/34.23 thf(zip_derived_cl365, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X1) @ (difference @ X0 @ X0))
% 232.61/34.23 = (difference @ X0 @ (difference @ X0 @ (difference @ X0 @ X1))))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl1])).
% 232.61/34.23 thf(zip_derived_cl123, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X1 @ (difference @ (difference @ X2 @ X1) @ X0)) = (X1))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl21, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ X0))),
% 232.61/34.23 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl0, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_1])).
% 232.61/34.23 thf(zip_derived_cl23, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ (difference @ X0 @ X0))
% 232.61/34.23 = (difference @ X1 @ X0))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl167, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X0 @
% 232.61/34.23 (difference @ (difference @ (difference @ X2 @ X0) @ X1) @
% 232.61/34.23 (difference @ (difference @ X2 @ X0) @ X1)))
% 232.61/34.23 = (difference @ X0 @ (difference @ (difference @ X2 @ X0) @ X1)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl23])).
% 232.61/34.23 thf(zip_derived_cl21, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ X0))),
% 232.61/34.23 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl123, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X1 @ (difference @ (difference @ X2 @ X1) @ X0)) = (X1))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl196, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X1)) = (X0))),
% 232.61/34.23 inference('demod', [status(thm)],
% 232.61/34.23 [zip_derived_cl167, zip_derived_cl21, zip_derived_cl123])).
% 232.61/34.23 thf(zip_derived_cl397, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ X0 @ X1)
% 232.61/34.23 = (difference @ X0 @ (difference @ X0 @ (difference @ X0 @ X1))))),
% 232.61/34.23 inference('demod', [status(thm)], [zip_derived_cl365, zip_derived_cl196])).
% 232.61/34.23 thf(zip_derived_cl2, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X2) @ X1)
% 232.61/34.23 = (difference @ (difference @ X0 @ X1) @ X2))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_3_simplified])).
% 232.61/34.23 thf(zip_derived_cl123, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X1 @ (difference @ (difference @ X2 @ X1) @ X0)) = (X1))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl21, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ X0))),
% 232.61/34.23 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl165, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @
% 232.61/34.23 (difference @ X0 @ (difference @ (difference @ X2 @ X0) @ X1)) @ X0)
% 232.61/34.23 = (difference @ (difference @ (difference @ X2 @ X0) @ X1) @
% 232.61/34.23 (difference @ (difference @ X2 @ X0) @ X1)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl21])).
% 232.61/34.23 thf(zip_derived_cl123, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X1 @ (difference @ (difference @ X2 @ X1) @ X0)) = (X1))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl21, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 232.61/34.23 = (difference @ X0 @ X0))),
% 232.61/34.23 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 232.61/34.23 thf(zip_derived_cl194, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]: ((difference @ X0 @ X0) = (difference @ X1 @ X1))),
% 232.61/34.23 inference('demod', [status(thm)],
% 232.61/34.23 [zip_derived_cl165, zip_derived_cl123, zip_derived_cl21])).
% 232.61/34.23 thf(zip_derived_cl197, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X1) @ X0) = (difference @ X1 @ X1))),
% 232.61/34.23 inference('demod', [status(thm)],
% 232.61/34.23 [zip_derived_cl168, zip_derived_cl21, zip_derived_cl21])).
% 232.61/34.23 thf(zip_derived_cl280, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X0) @ X2) = (difference @ X1 @ X1))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl197])).
% 232.61/34.23 thf(zip_derived_cl144, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X0 @ X2)
% 232.61/34.23 = (difference @ (difference @ X0 @ X2) @ (difference @ X1 @ X0)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 232.61/34.23 thf(zip_derived_cl2, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X2) @ X1)
% 232.61/34.23 = (difference @ (difference @ X0 @ X1) @ X2))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_3_simplified])).
% 232.61/34.23 thf(zip_derived_cl280, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X0) @ X2) = (difference @ X1 @ X1))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl197])).
% 232.61/34.23 thf(zip_derived_cl144, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X0 @ X2)
% 232.61/34.23 = (difference @ (difference @ X0 @ X2) @ (difference @ X1 @ X0)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 232.61/34.23 thf(zip_derived_cl84934, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ X1 @ X0)
% 232.61/34.23 = (difference @ X1 @ (difference @ X0 @ (difference @ X2 @ X1))))),
% 232.61/34.23 inference('demod', [status(thm)],
% 232.61/34.23 [zip_derived_cl84022, zip_derived_cl397, zip_derived_cl2,
% 232.61/34.23 zip_derived_cl280, zip_derived_cl144, zip_derived_cl2,
% 232.61/34.23 zip_derived_cl280, zip_derived_cl144])).
% 232.61/34.23 thf(zip_derived_cl85585, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X1 @ X0) @ X2)
% 232.61/34.23 = (difference @ (difference @ X1 @ X0) @ (difference @ X2 @ X0)))),
% 232.61/34.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl84934])).
% 232.61/34.23 thf(zip_derived_cl2, plain,
% 232.61/34.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.61/34.23 ((difference @ (difference @ X0 @ X2) @ X1)
% 232.61/34.23 = (difference @ (difference @ X0 @ X1) @ X2))),
% 232.61/34.23 inference('cnf', [status(esa)], [set_difference_3_simplified])).
% 232.61/34.23 thf(zip_derived_cl86048, plain,
% 232.61/34.23 (((difference @ (difference @ a @ b) @ c)
% 232.61/34.23 != (difference @ (difference @ a @ b) @ c))),
% 232.61/34.23 inference('demod', [status(thm)],
% 232.61/34.23 [zip_derived_cl3, zip_derived_cl85585, zip_derived_cl2])).
% 232.61/34.23 thf(zip_derived_cl86049, plain, ($false),
% 232.61/34.23 inference('simplify', [status(thm)], [zip_derived_cl86048])).
% 232.61/34.23
% 232.61/34.23 % SZS output end Refutation
% 232.61/34.23
% 232.61/34.23
% 232.61/34.23 % Terminating...
% 234.01/34.31 % Runner terminated.
% 234.01/34.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------