%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG006-1 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mh1uHAgIic true
% Computer : n003.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 Oct 2 04:27:17 PM UTC 2025
% Result : Unsatisfiable 201.04s 29.37s
% Output : Refutation 201.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ALG006-1 : TPTP v9.2.0. Released v2.2.0.
% 0.07/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mh1uHAgIic true
% 0.16/0.37 % Computer : n003.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Oct 1 17:04:53 EDT 2025
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.38 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.39/0.61 % Total configuration time : 435
% 0.39/0.61 % Estimated wc time : 1092
% 0.39/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 201.04/29.37 % Solved by fo/fo7.sh.
% 201.04/29.37 % done 12434 iterations in 28.621s
% 201.04/29.37 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 201.04/29.37 % SZS output start Refutation
% 201.04/29.37 thf(b_type, type, b: $i).
% 201.04/29.37 thf(c_type, type, c: $i).
% 201.04/29.37 thf(a_type, type, a: $i).
% 201.04/29.37 thf(difference_type, type, difference: $i > $i > $i).
% 201.04/29.37 thf(prove_set_difference_3_simplified, conjecture,
% 201.04/29.37 (( difference @ ( difference @ a @ c ) @ b ) =
% 201.04/29.37 ( difference @ ( difference @ a @ b ) @ c ))).
% 201.04/29.37 thf(zf_stmt_0, negated_conjecture,
% 201.04/29.37 (( difference @ ( difference @ a @ c ) @ b ) !=
% 201.04/29.37 ( difference @ ( difference @ a @ b ) @ c )),
% 201.04/29.37 inference('cnf.neg', [status(esa)], [prove_set_difference_3_simplified])).
% 201.04/29.37 thf(zip_derived_cl3, plain,
% 201.04/29.37 (((difference @ (difference @ a @ c) @ b)
% 201.04/29.37 != (difference @ (difference @ a @ b) @ c))),
% 201.04/29.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 201.04/29.37 thf(set_difference_3, axiom,
% 201.04/29.37 (( difference @ ( difference @ X @ Y ) @ Z ) =
% 201.04/29.37 ( difference @ ( difference @ X @ Z ) @ ( difference @ Y @ Z ) ))).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl123, plain,
% 201.04/29.37 (((difference @ (difference @ a @ c) @ b)
% 201.04/29.37 != (difference @ (difference @ a @ c) @ (difference @ b @ c)))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 201.04/29.37 thf(set_difference_1, axiom,
% 201.04/29.37 (( difference @ X @ ( difference @ Y @ X ) ) = ( X ))).
% 201.04/29.37 thf(zip_derived_cl0, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_1])).
% 201.04/29.37 thf(set_difference_2, axiom,
% 201.04/29.37 (( difference @ X @ ( difference @ X @ Y ) ) =
% 201.04/29.37 ( difference @ Y @ ( difference @ Y @ X ) ))).
% 201.04/29.37 thf(zip_derived_cl1, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ X1 @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ (difference @ X0 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_2])).
% 201.04/29.37 thf(zip_derived_cl0, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_1])).
% 201.04/29.37 thf(zip_derived_cl0, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_1])).
% 201.04/29.37 thf(zip_derived_cl4, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl14, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ (difference @ X1 @ X0)) @
% 201.04/29.37 (difference @ X0 @ X1)) = (difference @ X0 @ (difference @ X0 @ X1)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 201.04/29.37 thf(zip_derived_cl4, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl1, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ X1 @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ (difference @ X0 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_2])).
% 201.04/29.37 thf(zip_derived_cl19, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ (difference @ X0 @ (difference @ X1 @ X0))))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 201.04/29.37 thf(zip_derived_cl0, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_1])).
% 201.04/29.37 thf(zip_derived_cl21, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl4, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl25, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X0) @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 201.04/29.37 thf(zip_derived_cl21, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl50, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X0) @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl21])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl159, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X1) @ X0) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl253, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X0 @ X2) @ X1) @ X0)
% 201.04/29.37 = (difference @ (difference @ X0 @ X0) @ (difference @ X1 @ X0)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl159, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl50, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X0) @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl21])).
% 201.04/29.37 thf(zip_derived_cl282, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X0 @ X2) @ X1) @ X0)
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl50])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl1023, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 201.04/29.37 ((difference @
% 201.04/29.37 (difference @ (difference @ (difference @ X0 @ X3) @ X2) @ X1) @ X0)
% 201.04/29.37 = (difference @ (difference @ X0 @ X0) @ (difference @ X1 @ X0)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl282, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl21, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl157, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X1) @ X0) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl21, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl0, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_1])).
% 201.04/29.37 thf(zip_derived_cl23, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ (difference @ X0 @ X0))
% 201.04/29.37 = (difference @ X1 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl201, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X1) @ (difference @ X0 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl23])).
% 201.04/29.37 thf(zip_derived_cl1, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ X1 @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ (difference @ X0 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_2])).
% 201.04/29.37 thf(zip_derived_cl338, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X1) @ (difference @ X0 @ X0))
% 201.04/29.37 = (difference @ (difference @ X0 @ X0) @
% 201.04/29.37 (difference @ (difference @ X0 @ X0) @ (difference @ X1 @ X1))))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl1])).
% 201.04/29.37 thf(zip_derived_cl201, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X1) @ (difference @ X0 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl23])).
% 201.04/29.37 thf(zip_derived_cl201, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X1) @ (difference @ X0 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl23])).
% 201.04/29.37 thf(zip_derived_cl201, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X1) @ (difference @ X0 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl23])).
% 201.04/29.37 thf(zip_derived_cl386, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ X0) = (difference @ X1 @ X1))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl338, zip_derived_cl201, zip_derived_cl201,
% 201.04/29.37 zip_derived_cl201])).
% 201.04/29.37 thf(zip_derived_cl157, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X1) @ X0) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl413, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X2 @ X2) @ X1) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl157])).
% 201.04/29.37 thf(zip_derived_cl1100, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 201.04/29.37 ((difference @
% 201.04/29.37 (difference @ (difference @ (difference @ X0 @ X3) @ X2) @ X1) @ X0)
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl1023, zip_derived_cl413])).
% 201.04/29.37 thf(zip_derived_cl28070, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @
% 201.04/29.37 (difference @ X2 @ (difference @ X2 @ (difference @ X1 @ X0))) @ X1)
% 201.04/29.37 = (difference @ X1 @ X1))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1100])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl159, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X1) @ X0) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl267, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X2 @ X1) @ X0) @
% 201.04/29.37 (difference @ X2 @ X0))
% 201.04/29.37 = (difference @ (difference @ X2 @ X0) @ (difference @ X2 @ X0)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl159])).
% 201.04/29.37 thf(zip_derived_cl21, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl274, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X2 @ X1) @ X0) @
% 201.04/29.37 (difference @ X2 @ X0)) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl267, zip_derived_cl21])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl6232, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X1 @ X2) @ X1) @ X0)
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl1, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ X1 @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ (difference @ X0 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_2])).
% 201.04/29.37 thf(zip_derived_cl0, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_1])).
% 201.04/29.37 thf(zip_derived_cl13, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X1) @
% 201.04/29.37 (difference @ X1 @ (difference @ X1 @ X0))) = (difference @ X0 @ X1))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl6578, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @
% 201.04/29.37 (difference @ X0 @ (difference @ (difference @ X1 @ X2) @ X1)) @
% 201.04/29.37 (difference @ (difference @ (difference @ X1 @ X2) @ X1) @
% 201.04/29.37 (difference @ X0 @ X0)))
% 201.04/29.37 = (difference @ X0 @ (difference @ (difference @ X1 @ X2) @ X1)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl6232, zip_derived_cl13])).
% 201.04/29.37 thf(zip_derived_cl413, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X2 @ X2) @ X1) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl157])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl596, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X2) @ X1) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl596, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X2) @ X1) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl775, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 201.04/29.37 ((difference @ (difference @ X2 @ X3) @ X2)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl596])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl1315, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X2 @ X4) @ X3) @ X2)
% 201.04/29.37 = (difference @ (difference @ (difference @ X0 @ X1) @ X0) @
% 201.04/29.37 (difference @ X3 @ X2)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl775, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl596, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X2) @ X1) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl413, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X2 @ X2) @ X1) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl157])).
% 201.04/29.37 thf(zip_derived_cl1437, plain,
% 201.04/29.37 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X2 @ X4) @ X3) @ X2)
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl1315, zip_derived_cl596, zip_derived_cl413])).
% 201.04/29.37 thf(zip_derived_cl596, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X2) @ X1) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl1, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ X1 @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ (difference @ X0 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_2])).
% 201.04/29.37 thf(zip_derived_cl790, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X2 @ X1) @ (difference @ X0 @ X0))
% 201.04/29.37 = (difference @ X2 @ (difference @ X2 @ (difference @ X2 @ X1))))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl1])).
% 201.04/29.37 thf(zip_derived_cl386, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ X0) = (difference @ X1 @ X1))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl338, zip_derived_cl201, zip_derived_cl201,
% 201.04/29.37 zip_derived_cl201])).
% 201.04/29.37 thf(zip_derived_cl0, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ (difference @ X1 @ X0)) = (X0))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_1])).
% 201.04/29.37 thf(zip_derived_cl401, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X1 @ (difference @ X0 @ X0)) = (X1))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl839, plain,
% 201.04/29.37 (![X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ X2 @ X1)
% 201.04/29.37 = (difference @ X2 @ (difference @ X2 @ (difference @ X2 @ X1))))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl790, zip_derived_cl401])).
% 201.04/29.37 thf(zip_derived_cl2786, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X1 @ X3) @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ (difference @ X1 @ X3) @ X2) @
% 201.04/29.37 (difference @ (difference @ (difference @ X1 @ X3) @ X2) @
% 201.04/29.37 (difference @ X0 @ X0))))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl1437, zip_derived_cl839])).
% 201.04/29.37 thf(zip_derived_cl401, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X1 @ (difference @ X0 @ X0)) = (X1))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl596, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X2) @ X1) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl2938, plain,
% 201.04/29.37 (![X1 : $i, X2 : $i, X3 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X1 @ X3) @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X1 @ X2) @ X1))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl2786, zip_derived_cl401, zip_derived_cl596])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl2977, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @
% 201.04/29.37 (difference @ (difference @ (difference @ X1 @ X0) @ X2) @ X1) @ X0)
% 201.04/29.37 = (difference @ (difference @ (difference @ X1 @ X0) @ X0) @
% 201.04/29.37 (difference @ X1 @ X0)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl2938, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl2938, plain,
% 201.04/29.37 (![X1 : $i, X2 : $i, X3 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X1 @ X3) @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X1 @ X2) @ X1))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl2786, zip_derived_cl401, zip_derived_cl596])).
% 201.04/29.37 thf(zip_derived_cl4, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl386, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ X0) = (difference @ X1 @ X1))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl338, zip_derived_cl201, zip_derived_cl201,
% 201.04/29.37 zip_derived_cl201])).
% 201.04/29.37 thf(zip_derived_cl3125, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X1 @ X2) @ X1) @ X0)
% 201.04/29.37 = (difference @ X1 @ X1))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl2977, zip_derived_cl2938, zip_derived_cl4,
% 201.04/29.37 zip_derived_cl386])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl401, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X1 @ (difference @ X0 @ X0)) = (X1))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl6232, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X1 @ X2) @ X1) @ X0)
% 201.04/29.37 = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl4, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl401, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X1 @ (difference @ X0 @ X0)) = (X1))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl6837, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((X0) = (difference @ X0 @ (difference @ (difference @ X1 @ X2) @ X1)))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl6578, zip_derived_cl3125, zip_derived_cl2,
% 201.04/29.37 zip_derived_cl401, zip_derived_cl6232, zip_derived_cl2,
% 201.04/29.37 zip_derived_cl4, zip_derived_cl401])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl4, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl139, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @
% 201.04/29.37 (difference @ (difference @ X2 @ X0) @ (difference @ X1 @ X0)) @ X0)
% 201.04/29.37 = (difference @ (difference @ X2 @ X1) @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 201.04/29.37 thf(zip_derived_cl32038, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ X0)
% 201.04/29.37 = (difference @ (difference @ X1 @ (difference @ X0 @ X2)) @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl6837, zip_derived_cl139])).
% 201.04/29.37 thf(zip_derived_cl4, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl32301, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ X1 @ X0)
% 201.04/29.37 = (difference @ (difference @ X1 @ (difference @ X0 @ X2)) @ X0))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl32038, zip_derived_cl4])).
% 201.04/29.37 thf(zip_derived_cl32836, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X2 @ X0) @ X1)
% 201.04/29.37 = (difference @ (difference @ (difference @ X2 @ X1) @ X0) @ X1))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl32301])).
% 201.04/29.37 thf(zip_derived_cl33353, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X2 @ X0) @
% 201.04/29.37 (difference @ X2 @ (difference @ X0 @ X1)))
% 201.04/29.37 = (difference @ (difference @ X0 @ X0) @
% 201.04/29.37 (difference @ X2 @ (difference @ X0 @ X1))))),
% 201.04/29.37 inference('sup+', [status(thm)],
% 201.04/29.37 [zip_derived_cl28070, zip_derived_cl32836])).
% 201.04/29.37 thf(zip_derived_cl413, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X2 @ X2) @ X1) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl157])).
% 201.04/29.37 thf(zip_derived_cl33527, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X2 @ X0) @
% 201.04/29.37 (difference @ X2 @ (difference @ X0 @ X1))) = (difference @ X0 @ X0))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl33353, zip_derived_cl413])).
% 201.04/29.37 thf(zip_derived_cl36835, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ X0 @
% 201.04/29.37 (difference @ X0 @ (difference @ (difference @ X1 @ X0) @ X2)))
% 201.04/29.37 = (difference @ (difference @ X1 @ X0) @ (difference @ X1 @ X0)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl33527])).
% 201.04/29.37 thf(zip_derived_cl386, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X0 @ X0) = (difference @ X1 @ X1))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl338, zip_derived_cl201, zip_derived_cl201,
% 201.04/29.37 zip_derived_cl201])).
% 201.04/29.37 thf(zip_derived_cl37094, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ X0 @
% 201.04/29.37 (difference @ X0 @ (difference @ (difference @ X1 @ X0) @ X2)))
% 201.04/29.37 = (difference @ X1 @ X1))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl36835, zip_derived_cl386])).
% 201.04/29.37 thf(zip_derived_cl1, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ X1 @ (difference @ X1 @ X0))
% 201.04/29.37 = (difference @ X0 @ (difference @ X0 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_2])).
% 201.04/29.37 thf(zip_derived_cl839, plain,
% 201.04/29.37 (![X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ X2 @ X1)
% 201.04/29.37 = (difference @ X2 @ (difference @ X2 @ (difference @ X2 @ X1))))),
% 201.04/29.37 inference('demod', [status(thm)], [zip_derived_cl790, zip_derived_cl401])).
% 201.04/29.37 thf(zip_derived_cl968, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ X0 @ X1)
% 201.04/29.37 = (difference @ X0 @ (difference @ X1 @ (difference @ X1 @ X0))))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl839])).
% 201.04/29.37 thf(zip_derived_cl39646, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X0 @ X2) @ X1) @ X2)
% 201.04/29.37 = (difference @ (difference @ (difference @ X0 @ X2) @ X1) @
% 201.04/29.37 (difference @ X0 @ X0)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl37094, zip_derived_cl968])).
% 201.04/29.37 thf(zip_derived_cl4, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]:
% 201.04/29.37 ((difference @ (difference @ X1 @ X0) @ X0) = (difference @ X1 @ X0))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl2, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ X1)
% 201.04/29.37 = (difference @ (difference @ X0 @ X1) @ (difference @ X2 @ X1)))),
% 201.04/29.37 inference('cnf', [status(esa)], [set_difference_3])).
% 201.04/29.37 thf(zip_derived_cl172, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ (difference @ X1 @ X0) @ X2) @ X0)
% 201.04/29.37 = (difference @ (difference @ X1 @ X0) @ (difference @ X2 @ X0)))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 201.04/29.37 thf(zip_derived_cl401, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i]: ((difference @ X1 @ (difference @ X0 @ X0)) = (X1))),
% 201.04/29.37 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl0])).
% 201.04/29.37 thf(zip_derived_cl40276, plain,
% 201.04/29.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 201.04/29.37 ((difference @ (difference @ X0 @ X2) @ (difference @ X1 @ X2))
% 201.04/29.37 = (difference @ (difference @ X0 @ X2) @ X1))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl39646, zip_derived_cl172, zip_derived_cl401])).
% 201.04/29.37 thf(zip_derived_cl42791, plain,
% 201.04/29.37 (((difference @ (difference @ a @ c) @ b)
% 201.04/29.37 != (difference @ (difference @ a @ c) @ b))),
% 201.04/29.37 inference('demod', [status(thm)],
% 201.04/29.37 [zip_derived_cl123, zip_derived_cl40276])).
% 201.04/29.37 thf(zip_derived_cl42792, plain, ($false),
% 201.04/29.37 inference('simplify', [status(thm)], [zip_derived_cl42791])).
% 201.04/29.37
% 201.04/29.37 % SZS output end Refutation
% 201.04/29.37
% 201.04/29.37
% 201.04/29.37 % Terminating...
% 201.58/29.50 % Runner terminated.
% 201.58/29.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------