TSTP Solution File: SWV576-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV576-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PXHCkF6Wg1 true
% Computer : n025.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 : Fri Sep 1 00:11:26 EDT 2023
% Result : Unsatisfiable 47.03s 7.40s
% Output : Refutation 47.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV576-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PXHCkF6Wg1 true
% 0.14/0.34 % Computer : n025.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 : Tue Aug 29 06:58:25 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
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /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
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 47.03/7.40 % Solved by fo/fo4.sh.
% 47.03/7.40 % done 2050 iterations in 6.586s
% 47.03/7.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 47.03/7.40 % SZS output start Refutation
% 47.03/7.40 thf(c_SetInterval_Oord__class_OatLeastLessThan_type, type, c_SetInterval_Oord__class_OatLeastLessThan:
% 47.03/7.40 $i > $i > $i > $i).
% 47.03/7.40 thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 47.03/7.40 thf(tc_nat_type, type, tc_nat: $i).
% 47.03/7.40 thf('#_fresh_sk1_type', type, '#_fresh_sk1': $i > $i).
% 47.03/7.40 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 47.03/7.40 thf(c_Suc_type, type, c_Suc: $i > $i).
% 47.03/7.40 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 47.03/7.40 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 47.03/7.40 thf(c_Orderings_Obot__class_Obot_type, type, c_Orderings_Obot__class_Obot:
% 47.03/7.40 $i > $i).
% 47.03/7.40 thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of:
% 47.03/7.40 $i > $i > $i).
% 47.03/7.40 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 47.03/7.40 thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 47.03/7.40 thf(tc_bool_type, type, tc_bool: $i).
% 47.03/7.40 thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 47.03/7.40 thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 47.03/7.40 thf(cls_atLeastLessThanSuc_0, axiom,
% 47.03/7.40 (( ( c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 V_m @ ( c_Suc @ V_n ) @ tc_nat ) =
% 47.03/7.40 ( c_Set_Oinsert @
% 47.03/7.40 V_n @
% 47.03/7.40 ( c_SetInterval_Oord__class_OatLeastLessThan @ V_m @ V_n @ tc_nat ) @
% 47.03/7.40 tc_nat ) ) |
% 47.03/7.40 ( ~( c_lessequals @ V_m @ V_n @ tc_nat ) ))).
% 47.03/7.40 thf(zip_derived_cl227, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ (c_Suc @ X0) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 = (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ X0 @ tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ~ (c_lessequals @ X1 @ X0 @ tc_nat))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_atLeastLessThanSuc_0])).
% 47.03/7.40 thf(zip_derived_cl227, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ (c_Suc @ X0) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 = (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ X0 @ tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ~ (c_lessequals @ X1 @ X0 @ tc_nat))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_atLeastLessThanSuc_0])).
% 47.03/7.40 thf(zip_derived_cl227, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ (c_Suc @ X0) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 = (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ X0 @ tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ~ (c_lessequals @ X1 @ X0 @ tc_nat))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_atLeastLessThanSuc_0])).
% 47.03/7.40 thf(cls_insert__commute_0, axiom,
% 47.03/7.40 (( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ T_a ) =
% 47.03/7.40 ( c_Set_Oinsert @ V_y @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ))).
% 47.03/7.40 thf(zip_derived_cl278, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 47.03/7.40 ((c_Set_Oinsert @ X1 @ (c_Set_Oinsert @ X0 @ X2 @ X3) @ X3)
% 47.03/7.40 = (c_Set_Oinsert @ X0 @ (c_Set_Oinsert @ X1 @ X2 @ X3) @ X3))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_insert__commute_0])).
% 47.03/7.40 thf(zip_derived_cl278, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 47.03/7.40 ((c_Set_Oinsert @ X1 @ (c_Set_Oinsert @ X0 @ X2 @ X3) @ X3)
% 47.03/7.40 = (c_Set_Oinsert @ X0 @ (c_Set_Oinsert @ X1 @ X2 @ X3) @ X3))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_insert__commute_0])).
% 47.03/7.40 thf(cls_numeral__3__eq__3_0, axiom,
% 47.03/7.40 (( c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 ( c_Int_OBit1 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) =
% 47.03/7.40 ( c_Suc @ ( c_Suc @ ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ) ))).
% 47.03/7.40 thf(zip_derived_cl264, plain,
% 47.03/7.40 (((c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_numeral__3__eq__3_0])).
% 47.03/7.40 thf(cls_One__nat__def_0, axiom,
% 47.03/7.40 (( c_HOL_Oone__class_Oone @ tc_nat ) =
% 47.03/7.40 ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ))).
% 47.03/7.40 thf(zip_derived_cl249, plain,
% 47.03/7.40 (((c_HOL_Oone__class_Oone @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 47.03/7.40 thf(zip_derived_cl985, plain,
% 47.03/7.40 (((c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat))))),
% 47.03/7.40 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl249])).
% 47.03/7.40 thf(cls_Suc__inject_0, axiom,
% 47.03/7.40 (( ( c_Suc @ V_x ) != ( c_Suc @ V_y ) ) | ( ( V_x ) = ( V_y ) ))).
% 47.03/7.40 thf(zip_derived_cl250, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i]: (((c_Suc @ X1) != (c_Suc @ X0)) | ((X1) = (X0)))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_Suc__inject_0])).
% 47.03/7.40 thf(zip_derived_cl389, plain,
% 47.03/7.40 (![X1 : $i]: (('#_fresh_sk1' @ (c_Suc @ X1)) = (X1))),
% 47.03/7.40 inference('inj_rec', [status(thm)], [zip_derived_cl250])).
% 47.03/7.40 thf(zip_derived_cl1001, plain,
% 47.03/7.40 ((('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))
% 47.03/7.40 = (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat)))),
% 47.03/7.40 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl389])).
% 47.03/7.40 thf(zip_derived_cl250, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i]: (((c_Suc @ X1) != (c_Suc @ X0)) | ((X1) = (X0)))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_Suc__inject_0])).
% 47.03/7.40 thf(zip_derived_cl1273, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_Suc @ X0)
% 47.03/7.40 != ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)))
% 47.03/7.40 | ((X0) = (c_HOL_Oone__class_Oone @ tc_nat)))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl1001, zip_derived_cl250])).
% 47.03/7.40 thf(zip_derived_cl249, plain,
% 47.03/7.40 (((c_HOL_Oone__class_Oone @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 47.03/7.40 thf(cls_atLeastLessThan__singleton_0, axiom,
% 47.03/7.40 (( c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 V_m @ ( c_Suc @ V_m ) @ tc_nat ) =
% 47.03/7.40 ( c_Set_Oinsert @
% 47.03/7.40 V_m @
% 47.03/7.40 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_nat @ tc_bool ) ) @
% 47.03/7.40 tc_nat ))).
% 47.03/7.40 thf(zip_derived_cl272, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 ((c_SetInterval_Oord__class_OatLeastLessThan @ X0 @ (c_Suc @ X0) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 = (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_atLeastLessThan__singleton_0])).
% 47.03/7.40 thf(zip_derived_cl278, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 47.03/7.40 ((c_Set_Oinsert @ X1 @ (c_Set_Oinsert @ X0 @ X2 @ X3) @ X3)
% 47.03/7.40 = (c_Set_Oinsert @ X0 @ (c_Set_Oinsert @ X1 @ X2 @ X3) @ X3))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_insert__commute_0])).
% 47.03/7.40 thf(zip_derived_cl278, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 47.03/7.40 ((c_Set_Oinsert @ X1 @ (c_Set_Oinsert @ X0 @ X2 @ X3) @ X3)
% 47.03/7.40 = (c_Set_Oinsert @ X0 @ (c_Set_Oinsert @ X1 @ X2 @ X3) @ X3))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_insert__commute_0])).
% 47.03/7.40 thf(zip_derived_cl278, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 47.03/7.40 ((c_Set_Oinsert @ X1 @ (c_Set_Oinsert @ X0 @ X2 @ X3) @ X3)
% 47.03/7.40 = (c_Set_Oinsert @ X0 @ (c_Set_Oinsert @ X1 @ X2 @ X3) @ X3))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_insert__commute_0])).
% 47.03/7.40 thf(zip_derived_cl249, plain,
% 47.03/7.40 (((c_HOL_Oone__class_Oone @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 47.03/7.40 thf(zip_derived_cl250, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i]: (((c_Suc @ X1) != (c_Suc @ X0)) | ((X1) = (X0)))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_Suc__inject_0])).
% 47.03/7.40 thf(zip_derived_cl384, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_HOL_Oone__class_Oone @ tc_nat) != (c_Suc @ X0))
% 47.03/7.40 | ((c_HOL_Ozero__class_Ozero @ tc_nat) = (X0)))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl249, zip_derived_cl250])).
% 47.03/7.40 thf(cls_conjecture_0, conjecture,
% 47.03/7.40 (( c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @
% 47.03/7.40 ( c_Suc @
% 47.03/7.40 ( c_Suc @
% 47.03/7.40 ( c_Suc @ ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ) ) ) @
% 47.03/7.40 tc_nat ) =
% 47.03/7.40 ( c_Set_Oinsert @
% 47.03/7.40 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @
% 47.03/7.40 ( c_Set_Oinsert @
% 47.03/7.40 ( c_HOL_Oone__class_Oone @ tc_nat ) @
% 47.03/7.40 ( c_Set_Oinsert @
% 47.03/7.40 ( c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 47.03/7.40 ( c_Set_Oinsert @
% 47.03/7.40 ( c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 ( c_Int_OBit1 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 47.03/7.40 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_nat @ tc_bool ) ) @
% 47.03/7.40 tc_nat ) @
% 47.03/7.40 tc_nat ) @
% 47.03/7.40 tc_nat ) @
% 47.03/7.40 tc_nat ))).
% 47.03/7.40 thf(zf_stmt_0, negated_conjecture,
% 47.03/7.40 (( c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @
% 47.03/7.40 ( c_Suc @
% 47.03/7.40 ( c_Suc @
% 47.03/7.40 ( c_Suc @ ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ) ) ) @
% 47.03/7.40 tc_nat ) !=
% 47.03/7.40 ( c_Set_Oinsert @
% 47.03/7.40 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @
% 47.03/7.40 ( c_Set_Oinsert @
% 47.03/7.40 ( c_HOL_Oone__class_Oone @ tc_nat ) @
% 47.03/7.40 ( c_Set_Oinsert @
% 47.03/7.40 ( c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 47.03/7.40 ( c_Set_Oinsert @
% 47.03/7.40 ( c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 ( c_Int_OBit1 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 47.03/7.40 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_nat @ tc_bool ) ) @
% 47.03/7.40 tc_nat ) @
% 47.03/7.40 tc_nat ) @
% 47.03/7.40 tc_nat ) @
% 47.03/7.40 tc_nat )),
% 47.03/7.40 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 47.03/7.40 thf(zip_derived_cl287, plain,
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Suc @ (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 47.03/7.40 thf(zip_derived_cl249, plain,
% 47.03/7.40 (((c_HOL_Oone__class_Oone @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 47.03/7.40 thf(zip_derived_cl1001, plain,
% 47.03/7.40 ((('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))
% 47.03/7.40 = (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat)))),
% 47.03/7.40 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl389])).
% 47.03/7.40 thf(zip_derived_cl985, plain,
% 47.03/7.40 (((c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat))))),
% 47.03/7.40 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl249])).
% 47.03/7.40 thf(zip_derived_cl1001, plain,
% 47.03/7.40 ((('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))
% 47.03/7.40 = (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat)))),
% 47.03/7.40 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl389])).
% 47.03/7.40 thf(zip_derived_cl1260, plain,
% 47.03/7.40 (((c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 47.03/7.40 = (c_Suc @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))))),
% 47.03/7.40 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl1001])).
% 47.03/7.40 thf(cls_numeral__2__eq__2_0, axiom,
% 47.03/7.40 (( c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) =
% 47.03/7.40 ( c_Suc @ ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ))).
% 47.03/7.40 thf(zip_derived_cl240, plain,
% 47.03/7.40 (((c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 47.03/7.40 thf(zip_derived_cl249, plain,
% 47.03/7.40 (((c_HOL_Oone__class_Oone @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 47.03/7.40 thf(zip_derived_cl790, plain,
% 47.03/7.40 (((c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat)))),
% 47.03/7.40 inference('demod', [status(thm)], [zip_derived_cl240, zip_derived_cl249])).
% 47.03/7.40 thf(zip_derived_cl1001, plain,
% 47.03/7.40 ((('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))
% 47.03/7.40 = (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat)))),
% 47.03/7.40 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl389])).
% 47.03/7.40 thf(zip_derived_cl1257, plain,
% 47.03/7.40 (((c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 47.03/7.40 = ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)))),
% 47.03/7.40 inference('demod', [status(thm)], [zip_derived_cl790, zip_derived_cl1001])).
% 47.03/7.40 thf(zip_derived_cl8941, plain,
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('demod', [status(thm)],
% 47.03/7.40 [zip_derived_cl287, zip_derived_cl249, zip_derived_cl1001,
% 47.03/7.40 zip_derived_cl1260, zip_derived_cl1257])).
% 47.03/7.40 thf(zip_derived_cl9062, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_HOL_Oone__class_Oone @ tc_nat) != (c_Suc @ X0)))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl384, zip_derived_cl8941])).
% 47.03/7.40 thf(zip_derived_cl278, plain,
% 47.03/7.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 47.03/7.40 ((c_Set_Oinsert @ X1 @ (c_Set_Oinsert @ X0 @ X2 @ X3) @ X3)
% 47.03/7.40 = (c_Set_Oinsert @ X0 @ (c_Set_Oinsert @ X1 @ X2 @ X3) @ X3))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_insert__commute_0])).
% 47.03/7.40 thf(zip_derived_cl11545, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_HOL_Oone__class_Oone @ tc_nat) != (c_Suc @ X0)))),
% 47.03/7.40 inference('demod', [status(thm)], [zip_derived_cl9062, zip_derived_cl278])).
% 47.03/7.40 thf(zip_derived_cl11923, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_HOL_Oone__class_Oone @ tc_nat) != (c_Suc @ X0)))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl278, zip_derived_cl11545])).
% 47.03/7.40 thf(zip_derived_cl12290, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_HOL_Oone__class_Oone @ tc_nat) != (c_Suc @ X0)))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl278, zip_derived_cl11923])).
% 47.03/7.40 thf(zip_derived_cl12812, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_HOL_Oone__class_Oone @ tc_nat) != (c_Suc @ X0)))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl278, zip_derived_cl12290])).
% 47.03/7.40 thf(cls_calculation_0, axiom,
% 47.03/7.40 (( c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @
% 47.03/7.40 ( c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 ( c_Int_OBit0 @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @
% 47.03/7.40 tc_nat ) @
% 47.03/7.40 tc_nat ) =
% 47.03/7.40 ( c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @
% 47.03/7.40 ( c_Suc @
% 47.03/7.40 ( c_Suc @
% 47.03/7.40 ( c_Suc @ ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ) ) ) @
% 47.03/7.40 tc_nat ))).
% 47.03/7.40 thf(zip_derived_cl259, plain,
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 = (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Suc @ (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_calculation_0])).
% 47.03/7.40 thf(zip_derived_cl249, plain,
% 47.03/7.40 (((c_HOL_Oone__class_Oone @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 47.03/7.40 thf(zip_derived_cl1001, plain,
% 47.03/7.40 ((('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))
% 47.03/7.40 = (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat)))),
% 47.03/7.40 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl389])).
% 47.03/7.40 thf(zip_derived_cl1260, plain,
% 47.03/7.40 (((c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 47.03/7.40 = (c_Suc @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))))),
% 47.03/7.40 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl1001])).
% 47.03/7.40 thf(zip_derived_cl28050, plain,
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 = (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('demod', [status(thm)],
% 47.03/7.40 [zip_derived_cl259, zip_derived_cl249, zip_derived_cl1001,
% 47.03/7.40 zip_derived_cl1260])).
% 47.03/7.40 thf(zip_derived_cl28063, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_HOL_Oone__class_Oone @ tc_nat) != (c_Suc @ X0)))),
% 47.03/7.40 inference('demod', [status(thm)],
% 47.03/7.40 [zip_derived_cl12812, zip_derived_cl28050])).
% 47.03/7.40 thf(zip_derived_cl37399, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @ X0 @
% 47.03/7.40 (c_Suc @ X0) @ tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_HOL_Oone__class_Oone @ tc_nat) != (c_Suc @ X0)))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl272, zip_derived_cl28063])).
% 47.03/7.40 thf(zip_derived_cl37572, plain,
% 47.03/7.40 ((((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_HOL_Oone__class_Oone @ tc_nat)
% 47.03/7.40 != (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl249, zip_derived_cl37399])).
% 47.03/7.40 thf(zip_derived_cl249, plain,
% 47.03/7.40 (((c_HOL_Oone__class_Oone @ tc_nat)
% 47.03/7.40 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 47.03/7.40 thf(zip_derived_cl37638, plain,
% 47.03/7.40 ((((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_HOL_Oone__class_Oone @ tc_nat)
% 47.03/7.40 != (c_HOL_Oone__class_Oone @ tc_nat)))),
% 47.03/7.40 inference('demod', [status(thm)],
% 47.03/7.40 [zip_derived_cl37572, zip_derived_cl249])).
% 47.03/7.40 thf(zip_derived_cl37639, plain,
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ (c_HOL_Oone__class_Oone @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('simplify', [status(thm)], [zip_derived_cl37638])).
% 47.03/7.40 thf(zip_derived_cl38086, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_Suc @ X0)
% 47.03/7.40 != ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))))),
% 47.03/7.40 inference('sup-', [status(thm)],
% 47.03/7.40 [zip_derived_cl1273, zip_derived_cl37639])).
% 47.03/7.40 thf(zip_derived_cl39457, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_Suc @ X0)
% 47.03/7.40 != ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl278, zip_derived_cl38086])).
% 47.03/7.40 thf(zip_derived_cl39625, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_Set_Oinsert @ X0 @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ((c_Suc @ X0)
% 47.03/7.40 != ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl278, zip_derived_cl39457])).
% 47.03/7.40 thf(zip_derived_cl40202, plain,
% 47.03/7.40 ((((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat)) @ tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)
% 47.03/7.40 | ((c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat))
% 47.03/7.40 != ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl39625])).
% 47.03/7.40 thf(zip_derived_cl1001, plain,
% 47.03/7.40 ((('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))
% 47.03/7.40 = (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat)))),
% 47.03/7.40 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl389])).
% 47.03/7.40 thf(cls_le0_0, axiom,
% 47.03/7.40 (c_lessequals @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ V_n @ tc_nat)).
% 47.03/7.40 thf(zip_derived_cl75, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_nat) @ X0 @ tc_nat)),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_le0_0])).
% 47.03/7.40 thf(zip_derived_cl1001, plain,
% 47.03/7.40 ((('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))
% 47.03/7.40 = (c_Suc @ (c_HOL_Oone__class_Oone @ tc_nat)))),
% 47.03/7.40 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl389])).
% 47.03/7.40 thf(zip_derived_cl40293, plain,
% 47.03/7.40 ((((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | (('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))
% 47.03/7.40 != ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))))),
% 47.03/7.40 inference('demod', [status(thm)],
% 47.03/7.40 [zip_derived_cl40202, zip_derived_cl1001, zip_derived_cl75,
% 47.03/7.40 zip_derived_cl1001])).
% 47.03/7.40 thf(zip_derived_cl40294, plain,
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_Set_Oinsert @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('simplify', [status(thm)], [zip_derived_cl40293])).
% 47.03/7.40 thf(zip_derived_cl40340, plain,
% 47.03/7.40 ((((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl40294])).
% 47.03/7.40 thf(zip_derived_cl1260, plain,
% 47.03/7.40 (((c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 47.03/7.40 = (c_Suc @
% 47.03/7.40 ('#_fresh_sk1' @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat))))),
% 47.03/7.40 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl1001])).
% 47.03/7.40 thf(zip_derived_cl75, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_nat) @ X0 @ tc_nat)),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_le0_0])).
% 47.03/7.40 thf(zip_derived_cl40440, plain,
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_Set_Oinsert @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('demod', [status(thm)],
% 47.03/7.40 [zip_derived_cl40340, zip_derived_cl1260, zip_derived_cl75])).
% 47.03/7.40 thf(zip_derived_cl40689, plain,
% 47.03/7.40 ((((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat))
% 47.03/7.40 | ~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl40440])).
% 47.03/7.40 thf(zip_derived_cl28050, plain,
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 = (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Suc @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit1 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('demod', [status(thm)],
% 47.03/7.40 [zip_derived_cl259, zip_derived_cl249, zip_derived_cl1001,
% 47.03/7.40 zip_derived_cl1260])).
% 47.03/7.40 thf(zip_derived_cl75, plain,
% 47.03/7.40 (![X0 : $i]:
% 47.03/7.40 (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_nat) @ X0 @ tc_nat)),
% 47.03/7.40 inference('cnf', [status(esa)], [cls_le0_0])).
% 47.03/7.40 thf(zip_derived_cl40754, plain,
% 47.03/7.40 (((c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @ tc_nat) @
% 47.03/7.40 tc_nat)
% 47.03/7.40 != (c_SetInterval_Oord__class_OatLeastLessThan @
% 47.03/7.40 (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 47.03/7.40 (c_Int_Onumber__class_Onumber__of @
% 47.03/7.40 (c_Int_OBit0 @ (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls))) @
% 47.03/7.40 tc_nat) @
% 47.03/7.40 tc_nat))),
% 47.03/7.40 inference('demod', [status(thm)],
% 47.03/7.40 [zip_derived_cl40689, zip_derived_cl28050, zip_derived_cl75])).
% 47.03/7.40 thf(zip_derived_cl40755, plain, ($false),
% 47.03/7.40 inference('simplify', [status(thm)], [zip_derived_cl40754])).
% 47.03/7.40
% 47.03/7.40 % SZS output end Refutation
% 47.03/7.40
% 47.03/7.40
% 47.03/7.40 % Terminating...
% 47.42/7.46 % Runner terminated.
% 47.42/7.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------