TSTP Solution File: SWV886-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV886-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UZvQVscgfS true
% Computer : n022.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 00:12:24 EDT 2023
% Result : Unsatisfiable 12.79s 2.41s
% Output : Refutation 12.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV886-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UZvQVscgfS true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 08:03:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.37/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.79/2.41 % Solved by fo/fo3_bce.sh.
% 12.79/2.41 % BCE start: 416
% 12.79/2.41 % BCE eliminated: 32
% 12.79/2.41 % PE start: 384
% 12.79/2.41 logic: eq
% 12.79/2.41 % PE eliminated: 0
% 12.79/2.41 % done 1804 iterations in 1.673s
% 12.79/2.41 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.79/2.41 % SZS output start Refutation
% 12.79/2.41 thf(v_G_type, type, v_G: $i).
% 12.79/2.41 thf(c_Finite__Set_Ofinite_type, type, c_Finite__Set_Ofinite: $i > $i > $o).
% 12.79/2.41 thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 12.79/2.41 thf(v_na_type, type, v_na: $i).
% 12.79/2.41 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 12.79/2.41 $i > $i > $i > $i).
% 12.79/2.41 thf(tc_Com_Opname_type, type, tc_Com_Opname: $i).
% 12.79/2.41 thf(v_mgt__call_type, type, v_mgt__call: $i).
% 12.79/2.41 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 12.79/2.41 thf(t_a_type, type, t_a: $i).
% 12.79/2.41 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 12.79/2.41 thf(c_Finite__Set_Ocard_type, type, c_Finite__Set_Ocard: $i > $i > $i).
% 12.79/2.41 thf(c_Set_Oimage_type, type, c_Set_Oimage: $i > $i > $i > $i > $i).
% 12.79/2.41 thf(v_pn_type, type, v_pn: $i).
% 12.79/2.41 thf(tc_nat_type, type, tc_nat: $i).
% 12.79/2.41 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 12.79/2.41 thf(c_Suc_type, type, c_Suc: $i > $i).
% 12.79/2.41 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 12.79/2.41 thf(tc_bool_type, type, tc_bool: $i).
% 12.79/2.41 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 12.79/2.41 thf(v_U_type, type, v_U: $i).
% 12.79/2.41 thf(c_Orderings_Obot__class_Obot_type, type, c_Orderings_Obot__class_Obot:
% 12.79/2.41 $i > $i).
% 12.79/2.41 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 12.79/2.41 thf(cls_card__insert__if_1, axiom,
% 12.79/2.41 (( ( c_Finite__Set_Ocard @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) =
% 12.79/2.41 ( c_Suc @ ( c_Finite__Set_Ocard @ V_A @ T_a ) ) ) |
% 12.79/2.41 ( c_in @ V_x @ V_A @ T_a ) | ( ~( c_Finite__Set_Ofinite @ V_A @ T_a ) ))).
% 12.79/2.41 thf(zip_derived_cl385, plain,
% 12.79/2.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.79/2.41 (((c_Finite__Set_Ocard @ (c_Set_Oinsert @ X2 @ X0 @ X1) @ X1)
% 12.79/2.41 = (c_Suc @ (c_Finite__Set_Ocard @ X0 @ X1)))
% 12.79/2.41 | (c_in @ X2 @ X0 @ X1)
% 12.79/2.41 | ~ (c_Finite__Set_Ofinite @ X0 @ X1))),
% 12.79/2.41 inference('cnf', [status(esa)], [cls_card__insert__if_1])).
% 12.79/2.41 thf(cls_conjecture_6, conjecture,
% 12.79/2.41 (( c_Finite__Set_Ocard @
% 12.79/2.41 ( c_Set_Oinsert @ ( hAPP @ v_mgt__call @ v_pn ) @ v_G @ t_a ) @ t_a ) =
% 12.79/2.41 ( c_HOL_Ominus__class_Ominus @
% 12.79/2.41 ( c_Finite__Set_Ocard @
% 12.79/2.41 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 12.79/2.41 v_na @ tc_nat ))).
% 12.79/2.41 thf(zf_stmt_0, negated_conjecture,
% 12.79/2.41 (( c_Finite__Set_Ocard @
% 12.79/2.41 ( c_Set_Oinsert @ ( hAPP @ v_mgt__call @ v_pn ) @ v_G @ t_a ) @ t_a ) !=
% 12.79/2.41 ( c_HOL_Ominus__class_Ominus @
% 12.79/2.41 ( c_Finite__Set_Ocard @
% 12.79/2.41 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 12.79/2.41 v_na @ tc_nat )),
% 12.79/2.41 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 12.79/2.41 thf(zip_derived_cl409, plain,
% 12.79/2.41 (((c_Finite__Set_Ocard @
% 12.79/2.41 (c_Set_Oinsert @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a) @ t_a)
% 12.79/2.41 != (c_HOL_Ominus__class_Ominus @
% 12.79/2.41 (c_Finite__Set_Ocard @
% 12.79/2.41 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 12.79/2.41 v_na @ tc_nat))),
% 12.79/2.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.79/2.41 thf(cls_conjecture_1, conjecture,
% 12.79/2.41 (~( c_lessequals @
% 12.79/2.41 ( c_Suc @ v_na ) @
% 12.79/2.41 ( c_Finite__Set_Ocard @
% 12.79/2.41 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 12.79/2.41 tc_nat ))).
% 12.79/2.41 thf(zf_stmt_1, negated_conjecture,
% 12.79/2.41 (c_lessequals @
% 12.79/2.41 ( c_Suc @ v_na ) @
% 12.79/2.41 ( c_Finite__Set_Ocard @
% 12.79/2.41 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 12.79/2.41 tc_nat),
% 12.79/2.41 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 12.79/2.41 thf(zip_derived_cl414, plain,
% 12.79/2.41 ( (c_lessequals @ (c_Suc @ v_na) @
% 12.79/2.41 (c_Finite__Set_Ocard @
% 12.79/2.41 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 12.79/2.41 tc_nat)),
% 12.79/2.41 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.79/2.41 thf(cls_Suc__diff__le_0, axiom,
% 12.79/2.41 (( ( c_HOL_Ominus__class_Ominus @ ( c_Suc @ V_m ) @ V_n @ tc_nat ) =
% 12.79/2.41 ( c_Suc @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) ) ) |
% 12.79/2.41 ( ~( c_lessequals @ V_n @ V_m @ tc_nat ) ))).
% 12.79/2.41 thf(zip_derived_cl376, plain,
% 12.79/2.41 (![X0 : $i, X1 : $i]:
% 12.79/2.41 (((c_HOL_Ominus__class_Ominus @ (c_Suc @ X0) @ X1 @ tc_nat)
% 12.79/2.41 = (c_Suc @ (c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_nat)))
% 12.79/2.41 | ~ (c_lessequals @ X1 @ X0 @ tc_nat))),
% 12.79/2.41 inference('cnf', [status(esa)], [cls_Suc__diff__le_0])).
% 12.79/2.41 thf(zip_derived_cl2591, plain,
% 12.79/2.41 (((c_HOL_Ominus__class_Ominus @
% 12.79/2.41 (c_Suc @
% 12.79/2.41 (c_Finite__Set_Ocard @
% 12.79/2.41 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a)) @
% 12.79/2.41 (c_Suc @ v_na) @ tc_nat)
% 12.79/2.41 = (c_Suc @
% 12.79/2.41 (c_HOL_Ominus__class_Ominus @
% 12.79/2.41 (c_Finite__Set_Ocard @
% 12.79/2.41 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 12.79/2.41 (c_Suc @ v_na) @ tc_nat)))),
% 12.79/2.41 inference('sup-', [status(thm)], [zip_derived_cl414, zip_derived_cl376])).
% 12.79/2.41 thf(cls_diff__Suc__Suc_0, axiom,
% 12.79/2.41 (( c_HOL_Ominus__class_Ominus @ ( c_Suc @ V_m ) @ ( c_Suc @ V_n ) @ tc_nat ) =
% 12.79/2.41 ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ))).
% 12.79/2.41 thf(zip_derived_cl370, plain,
% 12.79/2.41 (![X0 : $i, X1 : $i]:
% 12.79/2.41 ((c_HOL_Ominus__class_Ominus @ (c_Suc @ X0) @ (c_Suc @ X1) @ tc_nat)
% 12.79/2.41 = (c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_nat))),
% 12.79/2.41 inference('cnf', [status(esa)], [cls_diff__Suc__Suc_0])).
% 12.79/2.41 thf(cls_conjecture_2, conjecture,
% 12.79/2.41 (( c_Finite__Set_Ocard @ v_G @ t_a ) !=
% 12.79/2.41 ( c_HOL_Ominus__class_Ominus @
% 12.79/2.41 ( c_Finite__Set_Ocard @
% 12.79/2.41 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 12.79/2.41 ( c_Suc @ v_na ) @ tc_nat ))).
% 12.79/2.41 thf(zf_stmt_2, negated_conjecture,
% 12.79/2.41 (( c_Finite__Set_Ocard @ v_G @ t_a ) =
% 12.79/2.41 ( c_HOL_Ominus__class_Ominus @
% 12.79/2.41 ( c_Finite__Set_Ocard @
% 12.79/2.41 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 12.79/2.41 ( c_Suc @ v_na ) @ tc_nat )),
% 12.79/2.41 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 12.79/2.41 thf(zip_derived_cl413, plain,
% 12.79/2.41 (((c_Finite__Set_Ocard @ v_G @ t_a)
% 12.79/2.41 = (c_HOL_Ominus__class_Ominus @
% 12.79/2.41 (c_Finite__Set_Ocard @
% 12.79/2.41 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 12.79/2.41 (c_Suc @ v_na) @ tc_nat))),
% 12.79/2.41 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.79/2.41 thf(zip_derived_cl2599, plain,
% 12.79/2.41 (((c_HOL_Ominus__class_Ominus @
% 12.79/2.41 (c_Finite__Set_Ocard @
% 12.79/2.41 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 12.79/2.41 v_na @ tc_nat) = (c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a)))),
% 12.79/2.41 inference('demod', [status(thm)],
% 12.79/2.41 [zip_derived_cl2591, zip_derived_cl370, zip_derived_cl413])).
% 12.79/2.41 thf(zip_derived_cl2648, plain,
% 12.79/2.41 (((c_Finite__Set_Ocard @
% 12.79/2.41 (c_Set_Oinsert @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a) @ t_a)
% 12.79/2.41 != (c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a)))),
% 12.79/2.41 inference('demod', [status(thm)], [zip_derived_cl409, zip_derived_cl2599])).
% 12.79/2.41 thf(cls_card__Suc__eq_4, axiom,
% 12.79/2.41 (( c_in @ V_x @ V_xa @ T_a ) |
% 12.79/2.41 ( ( c_Finite__Set_Ocard @ ( c_Set_Oinsert @ V_x @ V_xa @ T_a ) @ T_a ) =
% 12.79/2.41 ( c_Suc @ ( c_Finite__Set_Ocard @ V_xa @ T_a ) ) ) |
% 12.79/2.41 ( ( c_Finite__Set_Ocard @ V_xa @ T_a ) =
% 12.79/2.41 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ))).
% 12.79/2.41 thf(zip_derived_cl349, plain,
% 12.79/2.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.79/2.41 ( (c_in @ X0 @ X1 @ X2)
% 12.79/2.41 | ((c_Finite__Set_Ocard @ (c_Set_Oinsert @ X0 @ X1 @ X2) @ X2)
% 12.79/2.41 = (c_Suc @ (c_Finite__Set_Ocard @ X1 @ X2)))
% 12.79/2.41 | ((c_Finite__Set_Ocard @ X1 @ X2)
% 12.79/2.41 = (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 12.79/2.41 inference('cnf', [status(esa)], [cls_card__Suc__eq_4])).
% 12.79/2.41 thf(zip_derived_cl2648, plain,
% 12.79/2.41 (((c_Finite__Set_Ocard @
% 12.79/2.41 (c_Set_Oinsert @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a) @ t_a)
% 12.79/2.41 != (c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a)))),
% 12.79/2.41 inference('demod', [status(thm)], [zip_derived_cl409, zip_derived_cl2599])).
% 12.79/2.41 thf(zip_derived_cl11574, plain,
% 12.79/2.41 ((((c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a))
% 12.79/2.41 != (c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a)))
% 12.79/2.41 | ((c_Finite__Set_Ocard @ v_G @ t_a)
% 12.79/2.41 = (c_HOL_Ozero__class_Ozero @ tc_nat))
% 12.79/2.41 | (c_in @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a))),
% 12.79/2.41 inference('sup-', [status(thm)], [zip_derived_cl349, zip_derived_cl2648])).
% 12.79/2.41 thf(zip_derived_cl11588, plain,
% 12.79/2.41 (( (c_in @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a)
% 12.79/2.41 | ((c_Finite__Set_Ocard @ v_G @ t_a)
% 12.79/2.41 = (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 12.79/2.41 inference('simplify', [status(thm)], [zip_derived_cl11574])).
% 12.79/2.41 thf(cls_conjecture_4, conjecture,
% 12.79/2.41 (c_in @ ( hAPP @ v_mgt__call @ v_pn ) @ v_G @ t_a)).
% 12.79/2.41 thf(zf_stmt_3, negated_conjecture,
% 12.79/2.41 (~( c_in @ ( hAPP @ v_mgt__call @ v_pn ) @ v_G @ t_a )),
% 12.79/2.41 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 12.79/2.41 thf(zip_derived_cl411, plain,
% 12.79/2.41 (~ (c_in @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a)),
% 12.79/2.41 inference('cnf', [status(esa)], [zf_stmt_3])).
% 12.79/2.41 thf(zip_derived_cl11757, plain,
% 12.79/2.41 (((c_Finite__Set_Ocard @ v_G @ t_a) = (c_HOL_Ozero__class_Ozero @ tc_nat))),
% 12.79/2.41 inference('clc', [status(thm)], [zip_derived_cl11588, zip_derived_cl411])).
% 12.79/2.41 thf(cls_One__nat__def_0, axiom,
% 12.79/2.41 (( c_HOL_Oone__class_Oone @ tc_nat ) =
% 12.79/2.41 ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ))).
% 12.79/2.41 thf(zip_derived_cl144, plain,
% 12.79/2.41 (((c_HOL_Oone__class_Oone @ tc_nat)
% 12.79/2.41 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 12.79/2.41 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 12.79/2.41 thf(zip_derived_cl11762, plain,
% 12.79/2.41 (((c_Finite__Set_Ocard @
% 12.79/2.41 (c_Set_Oinsert @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a) @ t_a)
% 12.79/2.41 != (c_HOL_Oone__class_Oone @ tc_nat))),
% 12.79/2.41 inference('demod', [status(thm)],
% 12.79/2.41 [zip_derived_cl2648, zip_derived_cl11757, zip_derived_cl144])).
% 12.79/2.41 thf(zip_derived_cl12266, plain,
% 12.79/2.41 ((((c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a))
% 12.79/2.41 != (c_HOL_Oone__class_Oone @ tc_nat))
% 12.79/2.41 | ~ (c_Finite__Set_Ofinite @ v_G @ t_a)
% 12.79/2.41 | (c_in @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a))),
% 12.79/2.41 inference('sup-', [status(thm)], [zip_derived_cl385, zip_derived_cl11762])).
% 12.79/2.41 thf(zip_derived_cl11757, plain,
% 12.79/2.41 (((c_Finite__Set_Ocard @ v_G @ t_a) = (c_HOL_Ozero__class_Ozero @ tc_nat))),
% 12.79/2.41 inference('clc', [status(thm)], [zip_derived_cl11588, zip_derived_cl411])).
% 12.79/2.41 thf(zip_derived_cl144, plain,
% 12.79/2.41 (((c_HOL_Oone__class_Oone @ tc_nat)
% 12.79/2.41 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 12.79/2.41 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 12.79/2.41 thf(cls_conjecture_5, conjecture, (~( c_Finite__Set_Ofinite @ v_G @ t_a ))).
% 12.79/2.41 thf(zf_stmt_4, negated_conjecture, (c_Finite__Set_Ofinite @ v_G @ t_a),
% 12.79/2.41 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 12.79/2.41 thf(zip_derived_cl410, plain, ( (c_Finite__Set_Ofinite @ v_G @ t_a)),
% 12.79/2.41 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.79/2.41 thf(zip_derived_cl12285, plain,
% 12.79/2.41 ((((c_HOL_Oone__class_Oone @ tc_nat) != (c_HOL_Oone__class_Oone @ tc_nat))
% 12.79/2.41 | (c_in @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a))),
% 12.79/2.41 inference('demod', [status(thm)],
% 12.79/2.41 [zip_derived_cl12266, zip_derived_cl11757, zip_derived_cl144,
% 12.79/2.41 zip_derived_cl410])).
% 12.79/2.41 thf(zip_derived_cl12286, plain,
% 12.79/2.41 ( (c_in @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a)),
% 12.79/2.41 inference('simplify', [status(thm)], [zip_derived_cl12285])).
% 12.79/2.41 thf(cls_card__eq__0__iff_0, axiom,
% 12.79/2.41 (( ( c_Finite__Set_Ocard @ V_A @ T_a ) !=
% 12.79/2.41 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) |
% 12.79/2.41 ( ~( c_Finite__Set_Ofinite @ V_A @ T_a ) ) |
% 12.79/2.41 ( ( V_A ) = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ))).
% 12.79/2.41 thf(zip_derived_cl167, plain,
% 12.79/2.41 (![X0 : $i, X1 : $i]:
% 12.79/2.41 (((c_Finite__Set_Ocard @ X0 @ X1)
% 12.79/2.41 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 12.79/2.41 | ~ (c_Finite__Set_Ofinite @ X0 @ X1)
% 12.79/2.41 | ((X0) = (c_Orderings_Obot__class_Obot @ (tc_fun @ X1 @ tc_bool))))),
% 12.79/2.41 inference('cnf', [status(esa)], [cls_card__eq__0__iff_0])).
% 12.79/2.41 thf(zip_derived_cl410, plain, ( (c_Finite__Set_Ofinite @ v_G @ t_a)),
% 12.79/2.41 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.79/2.41 thf(zip_derived_cl2227, plain,
% 12.79/2.41 ((((v_G) = (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)))
% 12.79/2.41 | ((c_Finite__Set_Ocard @ v_G @ t_a)
% 12.79/2.41 != (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 12.79/2.41 inference('sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl410])).
% 12.79/2.41 thf(zip_derived_cl11757, plain,
% 12.79/2.41 (((c_Finite__Set_Ocard @ v_G @ t_a) = (c_HOL_Ozero__class_Ozero @ tc_nat))),
% 12.79/2.41 inference('clc', [status(thm)], [zip_derived_cl11588, zip_derived_cl411])).
% 12.79/2.41 thf(zip_derived_cl11760, plain,
% 12.79/2.41 ((((v_G) = (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)))
% 12.79/2.41 | ((c_HOL_Ozero__class_Ozero @ tc_nat)
% 12.79/2.41 != (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 12.79/2.41 inference('demod', [status(thm)],
% 12.79/2.41 [zip_derived_cl2227, zip_derived_cl11757])).
% 12.79/2.41 thf(zip_derived_cl11761, plain,
% 12.79/2.41 (((v_G) = (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)))),
% 12.79/2.41 inference('simplify', [status(thm)], [zip_derived_cl11760])).
% 12.79/2.41 thf(cls_emptyE_0, axiom,
% 12.79/2.41 (~( c_in @
% 12.79/2.41 V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @
% 12.79/2.41 T_a ))).
% 12.79/2.41 thf(zip_derived_cl5, plain,
% 12.79/2.41 (![X0 : $i, X1 : $i]:
% 12.79/2.41 ~ (c_in @ X0 @
% 12.79/2.41 (c_Orderings_Obot__class_Obot @ (tc_fun @ X1 @ tc_bool)) @ X1)),
% 12.79/2.41 inference('cnf', [status(esa)], [cls_emptyE_0])).
% 12.79/2.41 thf(zip_derived_cl12157, plain, (![X0 : $i]: ~ (c_in @ X0 @ v_G @ t_a)),
% 12.79/2.41 inference('sup-', [status(thm)], [zip_derived_cl11761, zip_derived_cl5])).
% 12.79/2.41 thf(zip_derived_cl12291, plain, ($false),
% 12.79/2.41 inference('sup-', [status(thm)],
% 12.79/2.41 [zip_derived_cl12286, zip_derived_cl12157])).
% 12.79/2.41
% 12.79/2.41 % SZS output end Refutation
% 12.79/2.41
% 12.79/2.41
% 12.79/2.41 % Terminating...
% 12.98/2.47 % Runner terminated.
% 12.98/2.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------