%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV885-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5fq8UHVgqM true
% Computer : n023.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 05:02:07 PM UTC 2025
% Result : Unsatisfiable 49.26s 7.68s
% Output : Refutation 49.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWV885-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5fq8UHVgqM true
% 0.13/0.36 % Computer : n023.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 12:34:23 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.50/0.62 % Total configuration time : 435
% 0.50/0.62 % Estimated wc time : 1092
% 0.50/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 49.26/7.68 % Solved by fo/fo3_bce.sh.
% 49.26/7.68 % BCE start: 649
% 49.26/7.68 % BCE eliminated: 57
% 49.26/7.68 % PE start: 592
% 49.26/7.68 logic: eq
% 49.26/7.68 % PE eliminated: 0
% 49.26/7.68 % done 3250 iterations in 6.921s
% 49.26/7.68 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 49.26/7.68 % SZS output start Refutation
% 49.26/7.68 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 49.26/7.68 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 49.26/7.68 $i > $i).
% 49.26/7.68 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 49.26/7.68 thf(tc_bool_type, type, tc_bool: $i).
% 49.26/7.68 thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 49.26/7.68 thf(c_Finite__Set_Ocard_type, type, c_Finite__Set_Ocard: $i > $i > $i).
% 49.26/7.68 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 49.26/7.68 thf(v_pn_type, type, v_pn: $i).
% 49.26/7.68 thf(tc_nat_type, type, tc_nat: $i).
% 49.26/7.68 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 49.26/7.68 thf(v_G_type, type, v_G: $i).
% 49.26/7.68 thf(c_Finite__Set_Ofinite_type, type, c_Finite__Set_Ofinite: $i > $i > $o).
% 49.26/7.68 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 49.26/7.68 $i > $i > $i > $i).
% 49.26/7.68 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 49.26/7.68 thf(v_U_type, type, v_U: $i).
% 49.26/7.68 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 49.26/7.68 thf(c_Orderings_Obot__class_Obot_type, type, c_Orderings_Obot__class_Obot:
% 49.26/7.68 $i > $i).
% 49.26/7.68 thf(tc_Com_Opname_type, type, tc_Com_Opname: $i).
% 49.26/7.68 thf(v_na_type, type, v_na: $i).
% 49.26/7.68 thf(c_Set_Oimage_type, type, c_Set_Oimage: $i > $i > $i > $i > $i).
% 49.26/7.68 thf(v_mgt__call_type, type, v_mgt__call: $i).
% 49.26/7.68 thf(c_Suc_type, type, c_Suc: $i > $i).
% 49.26/7.68 thf(t_a_type, type, t_a: $i).
% 49.26/7.68 thf(cls_Suc__diff__le_0, axiom,
% 49.26/7.68 (( ( c_HOL_Ominus__class_Ominus @ ( c_Suc @ V_m ) @ V_n @ tc_nat ) =
% 49.26/7.68 ( c_Suc @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) ) ) |
% 49.26/7.68 ( ~( c_lessequals @ V_n @ V_m @ tc_nat ) ))).
% 49.26/7.68 thf(zip_derived_cl599, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i]:
% 49.26/7.68 (((c_HOL_Ominus__class_Ominus @ (c_Suc @ X0) @ X1 @ tc_nat)
% 49.26/7.68 = (c_Suc @ (c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_nat)))
% 49.26/7.68 | ~ (c_lessequals @ X1 @ X0 @ tc_nat))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_Suc__diff__le_0])).
% 49.26/7.68 thf(cls_conjecture_6, conjecture,
% 49.26/7.68 (( c_Finite__Set_Ocard @
% 49.26/7.68 ( c_Set_Oinsert @ ( hAPP @ v_mgt__call @ v_pn ) @ v_G @ t_a ) @ t_a ) =
% 49.26/7.68 ( c_HOL_Ominus__class_Ominus @
% 49.26/7.68 ( c_Finite__Set_Ocard @
% 49.26/7.68 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 49.26/7.68 v_na @ tc_nat ))).
% 49.26/7.68 thf(zf_stmt_0, negated_conjecture,
% 49.26/7.68 (( c_Finite__Set_Ocard @
% 49.26/7.68 ( c_Set_Oinsert @ ( hAPP @ v_mgt__call @ v_pn ) @ v_G @ t_a ) @ t_a ) !=
% 49.26/7.68 ( c_HOL_Ominus__class_Ominus @
% 49.26/7.68 ( c_Finite__Set_Ocard @
% 49.26/7.68 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 49.26/7.68 v_na @ tc_nat )),
% 49.26/7.68 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 49.26/7.68 thf(zip_derived_cl642, plain,
% 49.26/7.68 (((c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oinsert @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a) @ t_a)
% 49.26/7.68 != (c_HOL_Ominus__class_Ominus @
% 49.26/7.68 (c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 49.26/7.68 v_na @ tc_nat))),
% 49.26/7.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.26/7.68 thf(cls_conjecture_5, conjecture,
% 49.26/7.68 (c_in @ ( hAPP @ v_mgt__call @ v_pn ) @ v_G @ t_a)).
% 49.26/7.68 thf(zf_stmt_1, negated_conjecture,
% 49.26/7.68 (~( c_in @ ( hAPP @ v_mgt__call @ v_pn ) @ v_G @ t_a )),
% 49.26/7.68 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 49.26/7.68 thf(zip_derived_cl643, plain,
% 49.26/7.68 (~ (c_in @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a)),
% 49.26/7.68 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.26/7.68 thf(cls_card__Diff__singleton__if_1, axiom,
% 49.26/7.68 (( ( c_Finite__Set_Ocard @
% 49.26/7.68 ( c_HOL_Ominus__class_Ominus @
% 49.26/7.68 V_A @
% 49.26/7.68 ( c_Set_Oinsert @
% 49.26/7.68 V_x @
% 49.26/7.68 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @
% 49.26/7.68 T_a ) @
% 49.26/7.68 ( tc_fun @ T_a @ tc_bool ) ) @
% 49.26/7.68 T_a ) =
% 49.26/7.68 ( c_Finite__Set_Ocard @ V_A @ T_a ) ) |
% 49.26/7.68 ( c_in @ V_x @ V_A @ T_a ) | ( ~( c_Finite__Set_Ofinite @ V_A @ T_a ) ))).
% 49.26/7.68 thf(zip_derived_cl493, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.26/7.68 (((c_Finite__Set_Ocard @
% 49.26/7.68 (c_HOL_Ominus__class_Ominus @ X0 @
% 49.26/7.68 (c_Set_Oinsert @ X2 @
% 49.26/7.68 (c_Orderings_Obot__class_Obot @ (tc_fun @ X1 @ tc_bool)) @ X1) @
% 49.26/7.68 (tc_fun @ X1 @ tc_bool)) @
% 49.26/7.68 X1) = (c_Finite__Set_Ocard @ X0 @ X1))
% 49.26/7.68 | (c_in @ X2 @ X0 @ X1)
% 49.26/7.68 | ~ (c_Finite__Set_Ofinite @ X0 @ X1))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_card__Diff__singleton__if_1])).
% 49.26/7.68 thf(zip_derived_cl17083, plain,
% 49.26/7.68 ((~ (c_Finite__Set_Ofinite @ v_G @ t_a)
% 49.26/7.68 | ((c_Finite__Set_Ocard @
% 49.26/7.68 (c_HOL_Ominus__class_Ominus @ v_G @
% 49.26/7.68 (c_Set_Oinsert @ (hAPP @ v_mgt__call @ v_pn) @
% 49.26/7.68 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @ t_a) @
% 49.26/7.68 (tc_fun @ t_a @ tc_bool)) @
% 49.26/7.68 t_a) = (c_Finite__Set_Ocard @ v_G @ t_a)))),
% 49.26/7.68 inference('sup+', [status(thm)], [zip_derived_cl643, zip_derived_cl493])).
% 49.26/7.68 thf(cls_card__eq__0__iff_2, axiom,
% 49.26/7.68 (( ( c_Finite__Set_Ocard @ V_A @ T_a ) =
% 49.26/7.68 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) |
% 49.26/7.68 ( c_Finite__Set_Ofinite @ V_A @ T_a ))).
% 49.26/7.68 thf(zip_derived_cl512, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i]:
% 49.26/7.68 (((c_Finite__Set_Ocard @ X0 @ X1)
% 49.26/7.68 = (c_HOL_Ozero__class_Ozero @ tc_nat))
% 49.26/7.68 | (c_Finite__Set_Ofinite @ X0 @ X1))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_card__eq__0__iff_2])).
% 49.26/7.68 thf(cls_conjecture_3, conjecture,
% 49.26/7.68 (( c_Finite__Set_Ocard @ v_G @ t_a ) !=
% 49.26/7.68 ( c_HOL_Ominus__class_Ominus @
% 49.26/7.68 ( c_Finite__Set_Ocard @
% 49.26/7.68 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 49.26/7.68 ( c_Suc @ v_na ) @ tc_nat ))).
% 49.26/7.68 thf(zf_stmt_2, negated_conjecture,
% 49.26/7.68 (( c_Finite__Set_Ocard @ v_G @ t_a ) =
% 49.26/7.68 ( c_HOL_Ominus__class_Ominus @
% 49.26/7.68 ( c_Finite__Set_Ocard @
% 49.26/7.68 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 49.26/7.68 ( c_Suc @ v_na ) @ tc_nat )),
% 49.26/7.68 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 49.26/7.68 thf(zip_derived_cl645, plain,
% 49.26/7.68 (((c_Finite__Set_Ocard @ v_G @ t_a)
% 49.26/7.68 = (c_HOL_Ominus__class_Ominus @
% 49.26/7.68 (c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 49.26/7.68 (c_Suc @ v_na) @ tc_nat))),
% 49.26/7.68 inference('cnf', [status(esa)], [zf_stmt_2])).
% 49.26/7.68 thf(cls_diff__is__0__eq_0, axiom,
% 49.26/7.68 (( ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) !=
% 49.26/7.68 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) |
% 49.26/7.68 ( c_lessequals @ V_m @ V_n @ tc_nat ))).
% 49.26/7.68 thf(zip_derived_cl518, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i]:
% 49.26/7.68 (((c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_nat)
% 49.26/7.68 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 49.26/7.68 | (c_lessequals @ X0 @ X1 @ tc_nat))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_diff__is__0__eq_0])).
% 49.26/7.68 thf(zip_derived_cl2817, plain,
% 49.26/7.68 ((((c_Finite__Set_Ocard @ v_G @ t_a)
% 49.26/7.68 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 49.26/7.68 | (c_lessequals @
% 49.26/7.68 (c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 49.26/7.68 (c_Suc @ v_na) @ tc_nat))),
% 49.26/7.68 inference('sup-', [status(thm)], [zip_derived_cl645, zip_derived_cl518])).
% 49.26/7.68 thf(cls_conjecture_2, conjecture,
% 49.26/7.68 (~( c_lessequals @
% 49.26/7.68 ( c_Suc @ v_na ) @
% 49.26/7.68 ( c_Finite__Set_Ocard @
% 49.26/7.68 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 49.26/7.68 tc_nat ))).
% 49.26/7.68 thf(zf_stmt_3, negated_conjecture,
% 49.26/7.68 (c_lessequals @
% 49.26/7.68 ( c_Suc @ v_na ) @
% 49.26/7.68 ( c_Finite__Set_Ocard @
% 49.26/7.68 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ) @
% 49.26/7.68 tc_nat),
% 49.26/7.68 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 49.26/7.68 thf(zip_derived_cl646, plain,
% 49.26/7.68 ( (c_lessequals @ (c_Suc @ v_na) @
% 49.26/7.68 (c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 49.26/7.68 tc_nat)),
% 49.26/7.68 inference('cnf', [status(esa)], [zf_stmt_3])).
% 49.26/7.68 thf(cls_le__antisym_0, axiom,
% 49.26/7.68 (( ( V_m ) = ( V_n ) ) | ( ~( c_lessequals @ V_n @ V_m @ tc_nat ) ) |
% 49.26/7.68 ( ~( c_lessequals @ V_m @ V_n @ tc_nat ) ))).
% 49.26/7.68 thf(zip_derived_cl588, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i]:
% 49.26/7.68 (((X1) = (X0))
% 49.26/7.68 | ~ (c_lessequals @ X0 @ X1 @ tc_nat)
% 49.26/7.68 | ~ (c_lessequals @ X1 @ X0 @ tc_nat))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_le__antisym_0])).
% 49.26/7.68 thf(zip_derived_cl2537, plain,
% 49.26/7.68 ((~ (c_lessequals @
% 49.26/7.68 (c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 49.26/7.68 (c_Suc @ v_na) @ tc_nat)
% 49.26/7.68 | ((c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a)
% 49.26/7.68 = (c_Suc @ v_na)))),
% 49.26/7.68 inference('sup-', [status(thm)], [zip_derived_cl646, zip_derived_cl588])).
% 49.26/7.68 thf(zip_derived_cl2886, plain,
% 49.26/7.68 ((((c_Finite__Set_Ocard @ v_G @ t_a)
% 49.26/7.68 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 49.26/7.68 | ((c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a)
% 49.26/7.68 = (c_Suc @ v_na)))),
% 49.26/7.68 inference('sup-', [status(thm)], [zip_derived_cl2817, zip_derived_cl2537])).
% 49.26/7.68 thf(cls_card__gt__0__iff_1, axiom,
% 49.26/7.68 (( c_Finite__Set_Ofinite @ V_A @ T_a ) |
% 49.26/7.68 ( ~( c_HOL_Oord__class_Oless @
% 49.26/7.68 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @
% 49.26/7.68 ( c_Finite__Set_Ocard @ V_A @ T_a ) @ tc_nat ) ))).
% 49.26/7.68 thf(zip_derived_cl426, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i]:
% 49.26/7.68 ( (c_Finite__Set_Ofinite @ X0 @ X1)
% 49.26/7.68 | ~ (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 49.26/7.68 (c_Finite__Set_Ocard @ X0 @ X1) @ tc_nat))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_card__gt__0__iff_1])).
% 49.26/7.68 thf(zip_derived_cl2891, plain,
% 49.26/7.68 ((~ (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 49.26/7.68 (c_Suc @ v_na) @ tc_nat)
% 49.26/7.68 | ((c_Finite__Set_Ocard @ v_G @ t_a)
% 49.26/7.68 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 49.26/7.68 | (c_Finite__Set_Ofinite @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a))),
% 49.26/7.68 inference('sup-', [status(thm)], [zip_derived_cl2886, zip_derived_cl426])).
% 49.26/7.68 thf(cls_zero__less__Suc_0, axiom,
% 49.26/7.68 (c_HOL_Oord__class_Oless @
% 49.26/7.68 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ ( c_Suc @ V_n ) @ tc_nat)).
% 49.26/7.68 thf(zip_derived_cl103, plain,
% 49.26/7.68 (![X0 : $i]:
% 49.26/7.68 (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 49.26/7.68 (c_Suc @ X0) @ tc_nat)),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_zero__less__Suc_0])).
% 49.26/7.68 thf(zip_derived_cl2902, plain,
% 49.26/7.68 ((((c_Finite__Set_Ocard @ v_G @ t_a)
% 49.26/7.68 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 49.26/7.68 | (c_Finite__Set_Ofinite @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a))),
% 49.26/7.68 inference('demod', [status(thm)], [zip_derived_cl2891, zip_derived_cl103])).
% 49.26/7.68 thf(cls_rev__finite__subset_0, axiom,
% 49.26/7.68 (( c_Finite__Set_Ofinite @ V_A @ T_a ) |
% 49.26/7.68 ( ~( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) |
% 49.26/7.68 ( ~( c_Finite__Set_Ofinite @ V_B @ T_a ) ))).
% 49.26/7.68 thf(zip_derived_cl563, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.26/7.68 ( (c_Finite__Set_Ofinite @ X0 @ X1)
% 49.26/7.68 | ~ (c_lessequals @ X0 @ X2 @ (tc_fun @ X1 @ tc_bool))
% 49.26/7.68 | ~ (c_Finite__Set_Ofinite @ X2 @ X1))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_rev__finite__subset_0])).
% 49.26/7.68 thf(cls_conjecture_1, conjecture,
% 49.26/7.68 (~( c_lessequals @
% 49.26/7.68 v_G @ ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @
% 49.26/7.68 ( tc_fun @ t_a @ tc_bool ) ))).
% 49.26/7.68 thf(zf_stmt_4, negated_conjecture,
% 49.26/7.68 (c_lessequals @
% 49.26/7.68 v_G @ ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @
% 49.26/7.68 ( tc_fun @ t_a @ tc_bool )),
% 49.26/7.68 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 49.26/7.68 thf(zip_derived_cl647, plain,
% 49.26/7.68 ( (c_lessequals @ v_G @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @
% 49.26/7.68 (tc_fun @ t_a @ tc_bool))),
% 49.26/7.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 49.26/7.68 thf(zip_derived_cl2993, plain,
% 49.26/7.68 ((~ (c_Finite__Set_Ofinite @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a)
% 49.26/7.68 | (c_Finite__Set_Ofinite @ v_G @ t_a))),
% 49.26/7.68 inference('sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl647])).
% 49.26/7.68 thf(zip_derived_cl2995, plain,
% 49.26/7.68 ((((c_Finite__Set_Ocard @ v_G @ t_a)
% 49.26/7.68 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 49.26/7.68 | (c_Finite__Set_Ofinite @ v_G @ t_a))),
% 49.26/7.68 inference('sup-', [status(thm)], [zip_derived_cl2902, zip_derived_cl2993])).
% 49.26/7.68 thf(zip_derived_cl3204, plain,
% 49.26/7.68 ((((c_HOL_Ozero__class_Ozero @ tc_nat)
% 49.26/7.68 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 49.26/7.68 | (c_Finite__Set_Ofinite @ v_G @ t_a)
% 49.26/7.68 | (c_Finite__Set_Ofinite @ v_G @ t_a))),
% 49.26/7.68 inference('sup-', [status(thm)], [zip_derived_cl512, zip_derived_cl2995])).
% 49.26/7.68 thf(zip_derived_cl3216, plain, ( (c_Finite__Set_Ofinite @ v_G @ t_a)),
% 49.26/7.68 inference('simplify', [status(thm)], [zip_derived_cl3204])).
% 49.26/7.68 thf(zip_derived_cl17103, plain,
% 49.26/7.68 (((c_Finite__Set_Ocard @
% 49.26/7.68 (c_HOL_Ominus__class_Ominus @ v_G @
% 49.26/7.68 (c_Set_Oinsert @ (hAPP @ v_mgt__call @ v_pn) @
% 49.26/7.68 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @ t_a) @
% 49.26/7.68 (tc_fun @ t_a @ tc_bool)) @
% 49.26/7.68 t_a) = (c_Finite__Set_Ocard @ v_G @ t_a))),
% 49.26/7.68 inference('demod', [status(thm)],
% 49.26/7.68 [zip_derived_cl17083, zip_derived_cl3216])).
% 49.26/7.68 thf(cls_card__insert_0, axiom,
% 49.26/7.68 (( ( c_Finite__Set_Ocard @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) =
% 49.26/7.68 ( c_Suc @
% 49.26/7.68 ( c_Finite__Set_Ocard @
% 49.26/7.68 ( c_HOL_Ominus__class_Ominus @
% 49.26/7.68 V_A @
% 49.26/7.68 ( c_Set_Oinsert @
% 49.26/7.68 V_x @
% 49.26/7.68 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @
% 49.26/7.68 T_a ) @
% 49.26/7.68 ( tc_fun @ T_a @ tc_bool ) ) @
% 49.26/7.68 T_a ) ) ) |
% 49.26/7.68 ( ~( c_Finite__Set_Ofinite @ V_A @ T_a ) ))).
% 49.26/7.68 thf(zip_derived_cl506, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.26/7.68 (((c_Finite__Set_Ocard @ (c_Set_Oinsert @ X1 @ X0 @ X2) @ X2)
% 49.26/7.68 = (c_Suc @
% 49.26/7.68 (c_Finite__Set_Ocard @
% 49.26/7.68 (c_HOL_Ominus__class_Ominus @ X0 @
% 49.26/7.68 (c_Set_Oinsert @ X1 @
% 49.26/7.68 (c_Orderings_Obot__class_Obot @ (tc_fun @ X2 @ tc_bool)) @ X2) @
% 49.26/7.68 (tc_fun @ X2 @ tc_bool)) @
% 49.26/7.68 X2)))
% 49.26/7.68 | ~ (c_Finite__Set_Ofinite @ X0 @ X2))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_card__insert_0])).
% 49.26/7.68 thf(zip_derived_cl18219, plain,
% 49.26/7.68 ((((c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oinsert @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a) @ t_a)
% 49.26/7.68 = (c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a)))
% 49.26/7.68 | ~ (c_Finite__Set_Ofinite @ v_G @ t_a))),
% 49.26/7.68 inference('sup+', [status(thm)], [zip_derived_cl17103, zip_derived_cl506])).
% 49.26/7.68 thf(zip_derived_cl3216, plain, ( (c_Finite__Set_Ofinite @ v_G @ t_a)),
% 49.26/7.68 inference('simplify', [status(thm)], [zip_derived_cl3204])).
% 49.26/7.68 thf(zip_derived_cl18222, plain,
% 49.26/7.68 (((c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oinsert @ (hAPP @ v_mgt__call @ v_pn) @ v_G @ t_a) @ t_a)
% 49.26/7.68 = (c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a)))),
% 49.26/7.68 inference('demod', [status(thm)],
% 49.26/7.68 [zip_derived_cl18219, zip_derived_cl3216])).
% 49.26/7.68 thf(zip_derived_cl18224, plain,
% 49.26/7.68 (((c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a))
% 49.26/7.68 != (c_HOL_Ominus__class_Ominus @
% 49.26/7.68 (c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 49.26/7.68 v_na @ tc_nat))),
% 49.26/7.68 inference('demod', [status(thm)],
% 49.26/7.68 [zip_derived_cl642, zip_derived_cl18222])).
% 49.26/7.68 thf(zip_derived_cl645, plain,
% 49.26/7.68 (((c_Finite__Set_Ocard @ v_G @ t_a)
% 49.26/7.68 = (c_HOL_Ominus__class_Ominus @
% 49.26/7.68 (c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 49.26/7.68 (c_Suc @ v_na) @ tc_nat))),
% 49.26/7.68 inference('cnf', [status(esa)], [zf_stmt_2])).
% 49.26/7.68 thf(cls_le__imp__diff__is__add_0, axiom,
% 49.26/7.68 (( ~( c_lessequals @ V_i @ V_j @ tc_nat ) ) |
% 49.26/7.68 ( ( V_j ) =
% 49.26/7.68 ( c_HOL_Oplus__class_Oplus @
% 49.26/7.68 ( c_HOL_Ominus__class_Ominus @ V_j @ V_i @ tc_nat ) @ V_i @ tc_nat ) ))).
% 49.26/7.68 thf(zip_derived_cl531, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i]:
% 49.26/7.68 (~ (c_lessequals @ X0 @ X1 @ tc_nat)
% 49.26/7.68 | ((X1)
% 49.26/7.68 = (c_HOL_Oplus__class_Oplus @
% 49.26/7.68 (c_HOL_Ominus__class_Ominus @ X1 @ X0 @ tc_nat) @ X0 @ tc_nat)))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_le__imp__diff__is__add_0])).
% 49.26/7.68 thf(zip_derived_cl18896, plain,
% 49.26/7.68 ((((c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a)
% 49.26/7.68 = (c_HOL_Oplus__class_Oplus @ (c_Finite__Set_Ocard @ v_G @ t_a) @
% 49.26/7.68 (c_Suc @ v_na) @ tc_nat))
% 49.26/7.68 | ~ (c_lessequals @ (c_Suc @ v_na) @
% 49.26/7.68 (c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 49.26/7.68 tc_nat))),
% 49.26/7.68 inference('sup+', [status(thm)], [zip_derived_cl645, zip_derived_cl531])).
% 49.26/7.68 thf(cls_add__Suc__right_0, axiom,
% 49.26/7.68 (( c_HOL_Oplus__class_Oplus @ V_m @ ( c_Suc @ V_n ) @ tc_nat ) =
% 49.26/7.68 ( c_Suc @ ( c_HOL_Oplus__class_Oplus @ V_m @ V_n @ tc_nat ) ))).
% 49.26/7.68 thf(zip_derived_cl318, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i]:
% 49.26/7.68 ((c_HOL_Oplus__class_Oplus @ X0 @ (c_Suc @ X1) @ tc_nat)
% 49.26/7.68 = (c_Suc @ (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_nat)))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_add__Suc__right_0])).
% 49.26/7.68 thf(cls_nat__add__commute_0, axiom,
% 49.26/7.68 (( c_HOL_Oplus__class_Oplus @ V_m @ V_n @ tc_nat ) =
% 49.26/7.68 ( c_HOL_Oplus__class_Oplus @ V_n @ V_m @ tc_nat ))).
% 49.26/7.68 thf(zip_derived_cl76, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i]:
% 49.26/7.68 ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_nat)
% 49.26/7.68 = (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_nat))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_nat__add__commute_0])).
% 49.26/7.68 thf(zip_derived_cl646, plain,
% 49.26/7.68 ( (c_lessequals @ (c_Suc @ v_na) @
% 49.26/7.68 (c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 49.26/7.68 tc_nat)),
% 49.26/7.68 inference('cnf', [status(esa)], [zf_stmt_3])).
% 49.26/7.68 thf(zip_derived_cl18908, plain,
% 49.26/7.68 (((c_Finite__Set_Ocard @
% 49.26/7.68 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a)
% 49.26/7.68 = (c_Suc @
% 49.26/7.68 (c_HOL_Oplus__class_Oplus @ v_na @
% 49.26/7.68 (c_Finite__Set_Ocard @ v_G @ t_a) @ tc_nat)))),
% 49.26/7.68 inference('demod', [status(thm)],
% 49.26/7.68 [zip_derived_cl18896, zip_derived_cl318, zip_derived_cl76,
% 49.26/7.68 zip_derived_cl646])).
% 49.26/7.68 thf(zip_derived_cl18973, plain,
% 49.26/7.68 (((c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a))
% 49.26/7.68 != (c_HOL_Ominus__class_Ominus @
% 49.26/7.68 (c_Suc @
% 49.26/7.68 (c_HOL_Oplus__class_Oplus @ v_na @
% 49.26/7.68 (c_Finite__Set_Ocard @ v_G @ t_a) @ tc_nat)) @
% 49.26/7.68 v_na @ tc_nat))),
% 49.26/7.68 inference('demod', [status(thm)],
% 49.26/7.68 [zip_derived_cl18224, zip_derived_cl18908])).
% 49.26/7.68 thf(zip_derived_cl21249, plain,
% 49.26/7.68 ((((c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a))
% 49.26/7.68 != (c_Suc @
% 49.26/7.68 (c_HOL_Ominus__class_Ominus @
% 49.26/7.68 (c_HOL_Oplus__class_Oplus @ v_na @
% 49.26/7.68 (c_Finite__Set_Ocard @ v_G @ t_a) @ tc_nat) @
% 49.26/7.68 v_na @ tc_nat)))
% 49.26/7.68 | ~ (c_lessequals @ v_na @
% 49.26/7.68 (c_HOL_Oplus__class_Oplus @ v_na @
% 49.26/7.68 (c_Finite__Set_Ocard @ v_G @ t_a) @ tc_nat) @
% 49.26/7.68 tc_nat))),
% 49.26/7.68 inference('sup-', [status(thm)], [zip_derived_cl599, zip_derived_cl18973])).
% 49.26/7.68 thf(cls_diff__add__inverse_0, axiom,
% 49.26/7.68 (( c_HOL_Ominus__class_Ominus @
% 49.26/7.68 ( c_HOL_Oplus__class_Oplus @ V_n @ V_m @ tc_nat ) @ V_n @ tc_nat ) =
% 49.26/7.68 ( V_m ))).
% 49.26/7.68 thf(zip_derived_cl487, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i]:
% 49.26/7.68 ((c_HOL_Ominus__class_Ominus @
% 49.26/7.68 (c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_nat) @ X1 @ tc_nat) = (
% 49.26/7.68 X0))),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_diff__add__inverse_0])).
% 49.26/7.68 thf(cls_le__iff__add_1, axiom,
% 49.26/7.68 (c_lessequals @
% 49.26/7.68 V_m @ ( c_HOL_Oplus__class_Oplus @ V_m @ V_x @ tc_nat ) @ tc_nat)).
% 49.26/7.68 thf(zip_derived_cl440, plain,
% 49.26/7.68 (![X0 : $i, X1 : $i]:
% 49.26/7.68 (c_lessequals @ X0 @ (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_nat) @
% 49.26/7.68 tc_nat)),
% 49.26/7.68 inference('cnf', [status(esa)], [cls_le__iff__add_1])).
% 49.26/7.68 thf(zip_derived_cl21288, plain,
% 49.26/7.68 (((c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a))
% 49.26/7.68 != (c_Suc @ (c_Finite__Set_Ocard @ v_G @ t_a)))),
% 49.26/7.68 inference('demod', [status(thm)],
% 49.26/7.68 [zip_derived_cl21249, zip_derived_cl487, zip_derived_cl440])).
% 49.26/7.68 thf(zip_derived_cl21289, plain, ($false),
% 49.26/7.68 inference('simplify', [status(thm)], [zip_derived_cl21288])).
% 49.26/7.68
% 49.26/7.68 % SZS output end Refutation
% 49.26/7.68
% 49.26/7.68
% 49.26/7.68 % Terminating...
% 49.62/7.79 % Runner terminated.
% 49.67/7.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------