TSTP Solution File: SWW473+5 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SWW473+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Mar 6 09:26:11 EST 2024
% Result : Theorem 15.43s 15.61s
% Output : Proof 15.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW473+5 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Mar 4 01:41:27 EST 2024
% 0.13/0.34 % CPUTime :
% 15.43/15.61 % SZS status Theorem for theBenchmark
% 15.43/15.61 % SZS output start Proof for theBenchmark
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_COMBB_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_COMBB_res-1, axiom, ( ( ti(fun(fun(_u2, _u1), fun(fun(_u0, _u2), fun(_u0, _u1))), combb(_u2, _u1, _u0)) = combb(_u2, _u1, _u0)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_COMBC_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_COMBC_res-1, axiom, ( ( ti(fun(fun(_u5, fun(_u4, _u3)), fun(_u4, fun(_u5, _u3))), combc(_u5, _u4, _u3)) = combc(_u5, _u4, _u3)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_COMBI_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_COMBI_res-1, axiom, ( ( ti(fun(_u6, _u6), combi(_u6)) = combi(_u6)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_COMBS_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_COMBS_res-1, axiom, ( ( ti(fun(fun(_u9, fun(_u8, _u7)), fun(fun(_u9, _u8), fun(_u9, _u7))), combs(_u9, _u8, _u7)) = combs(_u9, _u8, _u7)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_Finite__Set_Ocard_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_Finite__Set_Ocard_res-1, axiom, ( ( ti(fun(fun(_u10, bool), nat), finite_card(_u10)) = finite_card(_u10)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_Finite__Set_Ofinite_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_Finite__Set_Ofinite_res-1, axiom, ( ( ti(fun(fun(_u11, bool), bool), finite_finite(_u11)) = finite_finite(_u11)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_Groups_Ominus__class_Ominus_res ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_Groups_Ominus__class_Ominus_res-1, hypothesis, ( ( ti(fun(nat, fun(nat, nat)), minus_minus(nat)) = minus_minus(nat)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_HOL_Oundefined_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_HOL_Oundefined_res-1, axiom, ( ( ti(_u12, undefined(_u12)) = undefined(_u12)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_Nat_OSuc_res ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_Nat_OSuc_res-1, hypothesis, ( ( ti(fun(nat, nat), suc) = suc) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_Orderings_Oord__class_Oless__eq_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_Orderings_Oord__class_Oless__eq_res-1, axiom, ( ~preorder(_u13) | ( ti(fun(_u13, fun(_u13, bool)), ord_less_eq(_u13)) = ord_less_eq(_u13)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_Set_OCollect_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_Set_OCollect_res-1, axiom, ( ( ti(fun(fun(_u14, bool), fun(_u14, bool)), collect(_u14)) = collect(_u14)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_Set_Oimage_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_Set_Oimage_res-1, axiom, ( ( ti(fun(fun(_u16, _u15), fun(fun(_u16, bool), fun(_u15, bool))), image(_u16, _u15)) = image(_u16, _u15)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_Set_Oinsert_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_Set_Oinsert_res-1, axiom, ( ( ti(fun(_u17, fun(fun(_u17, bool), fun(_u17, bool))), insert(_u17)) = insert(_u17)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_fNot_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_fNot_res-1, axiom, ( ( ti(fun(bool, bool), fNot) = fNot) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_fconj_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_fconj_res-1, axiom, ( ( ti(fun(bool, fun(bool, bool)), fconj) = fconj) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_fdisj_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_fdisj_res-1, axiom, ( ( ti(fun(bool, fun(bool, bool)), fdisj) = fdisj) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_fequal_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_fequal_res-1, axiom, ( ( ti(fun(_u18, fun(_u18, bool)), fequal(_u18)) = fequal(_u18)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_fimplies_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_fimplies_res-1, axiom, ( ( ti(fun(bool, fun(bool, bool)), fimplies) = fimplies) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_hAPP_arg1 ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_hAPP_arg1-1, axiom, ( ( hAPP(_u22, _u21, ti(fun(_u22, _u21), _u20), _u19) = hAPP(_u22, _u21, _u20, _u19)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_hAPP_arg2 ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_hAPP_arg2-1, axiom, ( ( hAPP(_u26, _u25, _u24, ti(_u26, _u23)) = hAPP(_u26, _u25, _u24, _u23)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_hAPP_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_hAPP_res-1, axiom, ( ( ti(_u30, hAPP(_u29, _u30, _u28, _u27)) = hAPP(_u29, _u30, _u28, _u27)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_hBOOL_arg1 ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_hBOOL_arg1-1, hypothesis, ( ~hBOOL(ti(bool, _u32)) | hBOOL(_u32) )).
% 15.43/15.61 cnf(tsy_c_hBOOL_arg1-2, hypothesis, ( ~hBOOL(_u33) | hBOOL(ti(bool, _u33)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_c_member_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_c_member_res-1, axiom, ( ( ti(fun(_u34, fun(fun(_u34, bool), bool)), member(_u34)) = member(_u34)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_v_G_res ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(tsy_v_G_res-1, hypothesis, ( ( ti(fun(x_a, bool), g) = g) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_v_P_res ( axiom ) converted to clauses:
% 15.43/15.61 cnf(tsy_v_P_res-1, axiom, ( ( ti(fun(fun(x_a, bool), fun(fun(x_a, bool), bool)), p) = p) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_v_U_res ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(tsy_v_U_res-1, hypothesis, ( ( ti(fun(pname, bool), u) = u) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_v_mgt__call_res ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(tsy_v_mgt__call_res-1, hypothesis, ( ( ti(fun(pname, x_a), mgt_call) = mgt_call) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_v_na_res ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(tsy_v_na_res-1, hypothesis, ( ( ti(nat, na) = na) )).
% 15.43/15.61
% 15.43/15.61 % Formula: tsy_v_pn_res ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(tsy_v_pn_res-1, hypothesis, ( ( ti(pname, pn) = pn) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_0_assms_I1_J ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_0_assms_I1_J-1, axiom, ( ~hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), _u36), _u35)) | hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), p, _u35), _u36)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_1_finite__Collect__subsets ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_1_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(fun(_u38, bool), bool, finite_finite(_u38), _u37)) | hBOOL(hAPP(fun(fun(_u38, bool), bool), bool, finite_finite(fun(_u38, bool)), hAPP(fun(fun(_u38, bool), bool), fun(fun(_u38, bool), bool), collect(fun(_u38, bool)), hAPP(fun(_u38, bool), fun(fun(_u38, bool), bool), hAPP(fun(fun(_u38, bool), fun(fun(_u38, bool), bool)), fun(fun(_u38, bool), fun(fun(_u38, bool), bool)), combc(fun(_u38, bool), fun(_u38, bool), bool), ord_less_eq(fun(_u38, bool))), _u37)))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_2_finite__imageI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_2_finite__imageI-1, axiom, ( ~hBOOL(hAPP(fun(_u41, bool), bool, finite_finite(_u41), _u39)) | hBOOL(hAPP(fun(_u42, bool), bool, finite_finite(_u42), hAPP(fun(_u41, bool), fun(_u42, bool), hAPP(fun(_u41, _u42), fun(fun(_u41, bool), fun(_u42, bool)), image(_u41, _u42), _u40), _u39))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_3_finite_OinsertI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_3_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(fun(_u45, bool), bool, finite_finite(_u45), _u43)) | hBOOL(hAPP(fun(_u45, bool), bool, finite_finite(_u45), hAPP(fun(_u45, bool), fun(_u45, bool), hAPP(_u45, fun(fun(_u45, bool), fun(_u45, bool)), insert(_u45), _u44), _u43))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_4_card__image__le ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_4_card__image__le-1, axiom, ( ~hBOOL(hAPP(fun(_u48, bool), bool, finite_finite(_u48), _u46)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(fun(_u49, bool), nat, finite_card(_u49), hAPP(fun(_u48, bool), fun(_u49, bool), hAPP(fun(_u48, _u49), fun(fun(_u48, bool), fun(_u49, bool)), image(_u48, _u49), _u47), _u46))), hAPP(fun(_u48, bool), nat, finite_card(_u48), _u46))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_5_card__mono ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_5_card__mono-1, axiom, ( ~hBOOL(hAPP(fun(_u52, bool), bool, finite_finite(_u52), _u50)) | ~hBOOL(hAPP(fun(_u52, bool), bool, hAPP(fun(_u52, bool), fun(fun(_u52, bool), bool), ord_less_eq(fun(_u52, bool)), _u51), _u50)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(fun(_u52, bool), nat, finite_card(_u52), _u51)), hAPP(fun(_u52, bool), nat, finite_card(_u52), _u50))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_6_card__seteq ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_6_card__seteq-1, axiom, ( ~hBOOL(hAPP(fun(_u55, bool), bool, finite_finite(_u55), _u53)) | ~hBOOL(hAPP(fun(_u55, bool), bool, hAPP(fun(_u55, bool), fun(fun(_u55, bool), bool), ord_less_eq(fun(_u55, bool)), _u54), _u53)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(fun(_u55, bool), nat, finite_card(_u55), _u53)), hAPP(fun(_u55, bool), nat, finite_card(_u55), _u54))) | ( ti(fun(_u55, bool), _u54) = ti(fun(_u55, bool), _u53)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_7_card__insert__le ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_7_card__insert__le-1, axiom, ( ~hBOOL(hAPP(fun(_u58, bool), bool, finite_finite(_u58), _u56)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(fun(_u58, bool), nat, finite_card(_u58), _u56)), hAPP(fun(_u58, bool), nat, finite_card(_u58), hAPP(fun(_u58, bool), fun(_u58, bool), hAPP(_u58, fun(fun(_u58, bool), fun(_u58, bool)), insert(_u58), _u57), _u56)))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_8_card__insert__if ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_8_card__insert__if-1, axiom, ( ~hBOOL(hAPP(fun(_u61, bool), bool, finite_finite(_u61), _u59)) | ~hBOOL(hAPP(fun(_u61, bool), bool, hAPP(_u61, fun(fun(_u61, bool), bool), member(_u61), _u60), _u59)) | ( hAPP(fun(_u61, bool), nat, finite_card(_u61), hAPP(fun(_u61, bool), fun(_u61, bool), hAPP(_u61, fun(fun(_u61, bool), fun(_u61, bool)), insert(_u61), _u60), _u59)) = hAPP(fun(_u61, bool), nat, finite_card(_u61), _u59)) )).
% 15.43/15.61 cnf(fact_8_card__insert__if-2, axiom, ( ~hBOOL(hAPP(fun(_u61, bool), bool, finite_finite(_u61), _u59)) | hBOOL(hAPP(fun(_u61, bool), bool, hAPP(_u61, fun(fun(_u61, bool), bool), member(_u61), _u60), _u59)) | ( hAPP(fun(_u61, bool), nat, finite_card(_u61), hAPP(fun(_u61, bool), fun(_u61, bool), hAPP(_u61, fun(fun(_u61, bool), fun(_u61, bool)), insert(_u61), _u60), _u59)) = hAPP(nat, nat, suc, hAPP(fun(_u61, bool), nat, finite_card(_u61), _u59))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_9_card__insert__disjoint ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_9_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(fun(_u64, bool), bool, finite_finite(_u64), _u62)) | hBOOL(hAPP(fun(_u64, bool), bool, hAPP(_u64, fun(fun(_u64, bool), bool), member(_u64), _u63), _u62)) | ( hAPP(fun(_u64, bool), nat, finite_card(_u64), hAPP(fun(_u64, bool), fun(_u64, bool), hAPP(_u64, fun(fun(_u64, bool), fun(_u64, bool)), insert(_u64), _u63), _u62)) = hAPP(nat, nat, suc, hAPP(fun(_u64, bool), nat, finite_card(_u64), _u62))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_10_finite__Collect__conjI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_10_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(fun(_u67, bool), bool, finite_finite(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), collect(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), hAPP(fun(_u67, fun(bool, bool)), fun(fun(_u67, bool), fun(_u67, bool)), combs(_u67, bool, bool), hAPP(fun(_u67, bool), fun(_u67, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u67, bool), fun(_u67, fun(bool, bool))), combb(bool, fun(bool, bool), _u67), fconj), _u65)), _u66)))) | ~hBOOL(hAPP(fun(_u67, bool), bool, finite_finite(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), collect(_u67), _u65))) )).
% 15.43/15.61 cnf(fact_10_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(fun(_u67, bool), bool, finite_finite(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), collect(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), hAPP(fun(_u67, fun(bool, bool)), fun(fun(_u67, bool), fun(_u67, bool)), combs(_u67, bool, bool), hAPP(fun(_u67, bool), fun(_u67, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u67, bool), fun(_u67, fun(bool, bool))), combb(bool, fun(bool, bool), _u67), fconj), _u65)), _u66)))) | ~hBOOL(hAPP(fun(_u67, bool), bool, finite_finite(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), collect(_u67), _u66))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_11_Suc__diff__le ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_11_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u69), _u68)) | ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, suc, _u68)), _u69) = hAPP(nat, nat, suc, hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u68), _u69))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_12_finite__Collect__le__nat ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_12_finite__Collect__le__nat-1, axiom, ( hBOOL(hAPP(fun(nat, bool), bool, finite_finite(nat), hAPP(fun(nat, bool), fun(nat, bool), collect(nat), hAPP(nat, fun(nat, bool), hAPP(fun(nat, fun(nat, bool)), fun(nat, fun(nat, bool)), combc(nat, nat, bool), ord_less_eq(nat)), _u70)))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_13_card__Collect__le__nat ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_13_card__Collect__le__nat-1, axiom, ( ( hAPP(fun(nat, bool), nat, finite_card(nat), hAPP(fun(nat, bool), fun(nat, bool), collect(nat), hAPP(nat, fun(nat, bool), hAPP(fun(nat, fun(nat, bool)), fun(nat, fun(nat, bool)), combc(nat, nat, bool), ord_less_eq(nat)), _u71))) = hAPP(nat, nat, suc, _u71)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_14_finite__code ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_14_finite__code-1, axiom, ( ~finite_finite_1(_u73) | hBOOL(hAPP(fun(_u73, bool), bool, finite_finite(_u73), _u72)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_15_finite ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_15_finite-1, axiom, ( ~finite_finite_1(_u75) | hBOOL(hAPP(fun(_u75, bool), bool, finite_finite(_u75), _u74)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_16_Suc__inject ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_16_Suc__inject-1, axiom, ( ( hAPP(nat, nat, suc, _u77) != hAPP(nat, nat, suc, _u76)) | ( _u77 = _u76) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_17_nat_Oinject ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_17_nat_Oinject-1, axiom, ( ( hAPP(nat, nat, suc, _u82) != hAPP(nat, nat, suc, _u80)) | ( _u82 = _u80) )).
% 15.43/15.61 cnf(fact_17_nat_Oinject-2, axiom, ( ( _u83 != _u81) | ( hAPP(nat, nat, suc, _u83) = hAPP(nat, nat, suc, _u81)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_18_Suc__n__not__n ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_18_Suc__n__not__n-1, axiom, ( ( hAPP(nat, nat, suc, _u84) != _u84) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_19_n__not__Suc__n ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_19_n__not__Suc__n-1, axiom, ( ( _u85 != hAPP(nat, nat, suc, _u85)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_20_le__antisym ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_20_le__antisym-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u87), _u86)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u86), _u87)) | ( _u87 = _u86) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_21_le__trans ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_21_le__trans-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u89), _u88)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u88), _u90)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u89), _u90)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_22_eq__imp__le ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_22_eq__imp__le-1, axiom, ( ( _u92 != _u91) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u92), _u91)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_23_nat__le__linear ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_23_nat__le__linear-1, axiom, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u94), _u93)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u93), _u94)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_24_le__refl ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_24_le__refl-1, axiom, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u95), _u95)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_25_diff__commute ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_25_diff__commute-1, axiom, ( ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u98), _u97)), _u96) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u98), _u96)), _u97)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_26_finite__Collect__disjI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_26_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(fun(_u106, bool), bool, finite_finite(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), collect(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), hAPP(fun(_u106, fun(bool, bool)), fun(fun(_u106, bool), fun(_u106, bool)), combs(_u106, bool, bool), hAPP(fun(_u106, bool), fun(_u106, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u106, bool), fun(_u106, fun(bool, bool))), combb(bool, fun(bool, bool), _u106), fdisj), _u104)), _u102)))) | hBOOL(hAPP(fun(_u106, bool), bool, finite_finite(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), collect(_u106), _u104))) )).
% 15.43/15.61 cnf(fact_26_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(fun(_u106, bool), bool, finite_finite(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), collect(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), hAPP(fun(_u106, fun(bool, bool)), fun(fun(_u106, bool), fun(_u106, bool)), combs(_u106, bool, bool), hAPP(fun(_u106, bool), fun(_u106, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u106, bool), fun(_u106, fun(bool, bool))), combb(bool, fun(bool, bool), _u106), fdisj), _u104)), _u102)))) | hBOOL(hAPP(fun(_u106, bool), bool, finite_finite(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), collect(_u106), _u102))) )).
% 15.43/15.61 cnf(fact_26_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(fun(_u107, bool), bool, finite_finite(_u107), hAPP(fun(_u107, bool), fun(_u107, bool), collect(_u107), _u105))) | ~hBOOL(hAPP(fun(_u107, bool), bool, finite_finite(_u107), hAPP(fun(_u107, bool), fun(_u107, bool), collect(_u107), _u103))) | hBOOL(hAPP(fun(_u107, bool), bool, finite_finite(_u107), hAPP(fun(_u107, bool), fun(_u107, bool), collect(_u107), hAPP(fun(_u107, bool), fun(_u107, bool), hAPP(fun(_u107, fun(bool, bool)), fun(fun(_u107, bool), fun(_u107, bool)), combs(_u107, bool, bool), hAPP(fun(_u107, bool), fun(_u107, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u107, bool), fun(_u107, fun(bool, bool))), combb(bool, fun(bool, bool), _u107), fdisj), _u105)), _u103)))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_27_finite__insert ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_27_finite__insert-1, axiom, ( ~hBOOL(hAPP(fun(_u115, bool), bool, finite_finite(_u115), hAPP(fun(_u115, bool), fun(_u115, bool), hAPP(_u115, fun(fun(_u115, bool), fun(_u115, bool)), insert(_u115), _u113), _u111))) | hBOOL(hAPP(fun(_u115, bool), bool, finite_finite(_u115), _u111)) )).
% 15.43/15.61 cnf(fact_27_finite__insert-2, axiom, ( ~hBOOL(hAPP(fun(_u116, bool), bool, finite_finite(_u116), _u112)) | hBOOL(hAPP(fun(_u116, bool), bool, finite_finite(_u116), hAPP(fun(_u116, bool), fun(_u116, bool), hAPP(_u116, fun(fun(_u116, bool), fun(_u116, bool)), insert(_u116), _u114), _u112))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_28_finite__subset ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_28_finite__subset-1, axiom, ( ~hBOOL(hAPP(fun(_u119, bool), bool, hAPP(fun(_u119, bool), fun(fun(_u119, bool), bool), ord_less_eq(fun(_u119, bool)), _u118), _u117)) | ~hBOOL(hAPP(fun(_u119, bool), bool, finite_finite(_u119), _u117)) | hBOOL(hAPP(fun(_u119, bool), bool, finite_finite(_u119), _u118)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_29_rev__finite__subset ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_29_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(fun(_u122, bool), bool, finite_finite(_u122), _u120)) | ~hBOOL(hAPP(fun(_u122, bool), bool, hAPP(fun(_u122, bool), fun(fun(_u122, bool), bool), ord_less_eq(fun(_u122, bool)), _u121), _u120)) | hBOOL(hAPP(fun(_u122, bool), bool, finite_finite(_u122), _u121)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_30_Suc__leD ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_30_Suc__leD-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u124)), _u123)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u124), _u123)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_31_le__SucE ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_31_le__SucE-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u126), hAPP(nat, nat, suc, _u125))) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u126), _u125)) | ( _u126 = hAPP(nat, nat, suc, _u125)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_32_le__SucI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_32_le__SucI-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u128), _u127)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u128), hAPP(nat, nat, suc, _u127))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_33_Suc__le__mono ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_33_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u133)), hAPP(nat, nat, suc, _u131))) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u133), _u131)) )).
% 15.43/15.61 cnf(fact_33_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u134), _u132)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u134)), hAPP(nat, nat, suc, _u132))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_34_le__Suc__eq ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_34_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u139), hAPP(nat, nat, suc, _u137))) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u139), _u137)) | ( _u139 = hAPP(nat, nat, suc, _u137)) )).
% 15.43/15.61 cnf(fact_34_le__Suc__eq-2, axiom, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u140), hAPP(nat, nat, suc, _u138))) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u140), _u138)) )).
% 15.43/15.61 cnf(fact_34_le__Suc__eq-3, axiom, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u140), hAPP(nat, nat, suc, _u138))) | ( _u140 != hAPP(nat, nat, suc, _u138)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_35_not__less__eq__eq ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_35_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u145), _u143)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u143)), _u145)) )).
% 15.43/15.61 cnf(fact_35_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u144)), _u146)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u146), _u144)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_36_Suc__n__not__le__n ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_36_Suc__n__not__le__n-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u147)), _u147)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_37_Suc__diff__diff ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_37_Suc__diff__diff-1, axiom, ( ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, suc, _u150)), _u149)), hAPP(nat, nat, suc, _u148)) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u150), _u149)), _u148)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_38_diff__Suc__Suc ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_38_diff__Suc__Suc-1, axiom, ( ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, suc, _u152)), hAPP(nat, nat, suc, _u151)) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u152), _u151)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_39_le__diff__iff ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_39_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u154), _u153)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u154), _u155)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u153), _u154)), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u155), _u154))) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u153), _u155)) )).
% 15.43/15.61 cnf(fact_39_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u154), _u153)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u154), _u155)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u153), _u155)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u153), _u154)), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u155), _u154))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_40_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_40_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u157), _u156)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u157), _u158)) | ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u156), _u157)), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u158), _u157)) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u156), _u158)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_41_eq__diff__iff ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_41_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u160), _u159)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u160), _u161)) | ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u159), _u160) != hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u161), _u160)) | ( _u159 = _u161) )).
% 15.43/15.61 cnf(fact_41_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u160), _u159)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u160), _u161)) | ( _u159 != _u161) | ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u159), _u160) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u161), _u160)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_42_diff__diff__cancel ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_42_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u163), _u162)) | ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u162), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u162), _u163)) = _u163) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_43_diff__le__mono ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_43_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u165), _u164)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u165), _u166)), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u164), _u166))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_44_diff__le__mono2 ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_44_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u168), _u167)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u169), _u167)), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u169), _u168))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_45_diff__le__self ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_45_diff__le__self-1, axiom, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u171), _u170)), _u171)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_46_finite__surj ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_46_finite__surj-1, axiom, ( ~hBOOL(hAPP(fun(_u175, bool), bool, finite_finite(_u175), _u172)) | ~hBOOL(hAPP(fun(_u176, bool), bool, hAPP(fun(_u176, bool), fun(fun(_u176, bool), bool), ord_less_eq(fun(_u176, bool)), _u174), hAPP(fun(_u175, bool), fun(_u176, bool), hAPP(fun(_u175, _u176), fun(fun(_u175, bool), fun(_u176, bool)), image(_u175, _u176), _u173), _u172))) | hBOOL(hAPP(fun(_u176, bool), bool, finite_finite(_u176), _u174)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_47_finite__subset__image ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_47_finite__subset__image-1, axiom, ( ~hBOOL(hAPP(fun(_u181, bool), bool, finite_finite(_u181), _u178)) | ~hBOOL(hAPP(fun(_u181, bool), bool, hAPP(fun(_u181, bool), fun(fun(_u181, bool), bool), ord_less_eq(fun(_u181, bool)), _u178), hAPP(fun(_u182, bool), fun(_u181, bool), hAPP(fun(_u182, _u181), fun(fun(_u182, bool), fun(_u181, bool)), image(_u182, _u181), _u180), _u179))) | hBOOL(hAPP(fun(_u182, bool), bool, hAPP(fun(_u182, bool), fun(fun(_u182, bool), bool), ord_less_eq(fun(_u182, bool)), skolem1(_u182, _u181, _u180, _u179, _u178)), _u179)) )).
% 15.43/15.61 cnf(fact_47_finite__subset__image-2, axiom, ( ~hBOOL(hAPP(fun(_u181, bool), bool, finite_finite(_u181), _u178)) | ~hBOOL(hAPP(fun(_u181, bool), bool, hAPP(fun(_u181, bool), fun(fun(_u181, bool), bool), ord_less_eq(fun(_u181, bool)), _u178), hAPP(fun(_u182, bool), fun(_u181, bool), hAPP(fun(_u182, _u181), fun(fun(_u182, bool), fun(_u181, bool)), image(_u182, _u181), _u180), _u179))) | hBOOL(hAPP(fun(_u182, bool), bool, finite_finite(_u182), skolem1(_u182, _u181, _u180, _u179, _u178))) )).
% 15.43/15.61 cnf(fact_47_finite__subset__image-3, axiom, ( ~hBOOL(hAPP(fun(_u181, bool), bool, finite_finite(_u181), _u178)) | ~hBOOL(hAPP(fun(_u181, bool), bool, hAPP(fun(_u181, bool), fun(fun(_u181, bool), bool), ord_less_eq(fun(_u181, bool)), _u178), hAPP(fun(_u182, bool), fun(_u181, bool), hAPP(fun(_u182, _u181), fun(fun(_u182, bool), fun(_u181, bool)), image(_u182, _u181), _u180), _u179))) | ( ti(fun(_u181, bool), _u178) = hAPP(fun(_u182, bool), fun(_u181, bool), hAPP(fun(_u182, _u181), fun(fun(_u182, bool), fun(_u181, bool)), image(_u182, _u181), _u180), skolem1(_u182, _u181, _u180, _u179, _u178))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_48_lift__Suc__mono__le ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_48_lift__Suc__mono__le-1, axiom, ( ~order(_u187) | ~hBOOL(hAPP(_u187, bool, hAPP(_u187, fun(_u187, bool), ord_less_eq(_u187), hAPP(nat, _u187, _u184, skolem2(_u187, _u186, _u185, _u184))), hAPP(nat, _u187, _u184, hAPP(nat, nat, suc, skolem2(_u187, _u186, _u185, _u184))))) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u186), _u185)) | hBOOL(hAPP(_u187, bool, hAPP(_u187, fun(_u187, bool), ord_less_eq(_u187), hAPP(nat, _u187, _u184, _u186)), hAPP(nat, _u187, _u184, _u185))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_49_pigeonhole__infinite ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_49_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(fun(_u191, bool), bool, finite_finite(_u191), _u189)) | ~hBOOL(hAPP(fun(_u192, bool), bool, finite_finite(_u192), hAPP(fun(_u191, bool), fun(_u192, bool), hAPP(fun(_u191, _u192), fun(fun(_u191, bool), fun(_u192, bool)), image(_u191, _u192), _u190), _u189))) | hBOOL(hAPP(fun(_u191, bool), bool, hAPP(_u191, fun(fun(_u191, bool), bool), member(_u191), skolem3(_u192, _u191, _u190, _u189)), _u189)) )).
% 15.43/15.61 cnf(fact_49_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(fun(_u191, bool), bool, finite_finite(_u191), _u189)) | ~hBOOL(hAPP(fun(_u192, bool), bool, finite_finite(_u192), hAPP(fun(_u191, bool), fun(_u192, bool), hAPP(fun(_u191, _u192), fun(fun(_u191, bool), fun(_u192, bool)), image(_u191, _u192), _u190), _u189))) | ~hBOOL(hAPP(fun(_u191, bool), bool, finite_finite(_u191), hAPP(fun(_u191, bool), fun(_u191, bool), collect(_u191), hAPP(fun(_u191, bool), fun(_u191, bool), hAPP(fun(_u191, fun(bool, bool)), fun(fun(_u191, bool), fun(_u191, bool)), combs(_u191, bool, bool), hAPP(fun(_u191, bool), fun(_u191, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u191, bool), fun(_u191, fun(bool, bool))), combb(bool, fun(bool, bool), _u191), fconj), hAPP(fun(_u191, bool), fun(_u191, bool), hAPP(fun(_u191, fun(fun(_u191, bool), bool)), fun(fun(_u191, bool), fun(_u191, bool)), combc(_u191, fun(_u191, bool), bool), member(_u191)), _u189))), hAPP(_u192, fun(_u191, bool), hAPP(fun(_u191, fun(_u192, bool)), fun(_u192, fun(_u191, bool)), combc(_u191, _u192, bool), hAPP(fun(_u191, _u192), fun(_u191, fun(_u192, bool)), hAPP(fun(_u192, fun(_u192, bool)), fun(fun(_u191, _u192), fun(_u191, fun(_u192, bool))), combb(_u192, fun(_u192, bool), _u191), fequal(_u192)), _u190)), hAPP(_u191, _u192, _u190, skolem3(_u192, _u191, _u190, _u189))))))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_50_image__eqI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_50_image__eqI-1, axiom, ( ( ti(_u198, _u195) != hAPP(_u197, _u198, _u194, _u193)) | ~hBOOL(hAPP(fun(_u197, bool), bool, hAPP(_u197, fun(fun(_u197, bool), bool), member(_u197), _u193), _u196)) | hBOOL(hAPP(fun(_u198, bool), bool, hAPP(_u198, fun(fun(_u198, bool), bool), member(_u198), _u195), hAPP(fun(_u197, bool), fun(_u198, bool), hAPP(fun(_u197, _u198), fun(fun(_u197, bool), fun(_u198, bool)), image(_u197, _u198), _u194), _u196))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_51_equalityI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_51_equalityI-1, axiom, ( ~hBOOL(hAPP(fun(_u201, bool), bool, hAPP(fun(_u201, bool), fun(fun(_u201, bool), bool), ord_less_eq(fun(_u201, bool)), _u200), _u199)) | ~hBOOL(hAPP(fun(_u201, bool), bool, hAPP(fun(_u201, bool), fun(fun(_u201, bool), bool), ord_less_eq(fun(_u201, bool)), _u199), _u200)) | ( ti(fun(_u201, bool), _u200) = ti(fun(_u201, bool), _u199)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_52_subsetD ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_52_subsetD-1, axiom, ( ~hBOOL(hAPP(fun(_u205, bool), bool, hAPP(fun(_u205, bool), fun(fun(_u205, bool), bool), ord_less_eq(fun(_u205, bool)), _u203), _u202)) | ~hBOOL(hAPP(fun(_u205, bool), bool, hAPP(_u205, fun(fun(_u205, bool), bool), member(_u205), _u204), _u203)) | hBOOL(hAPP(fun(_u205, bool), bool, hAPP(_u205, fun(fun(_u205, bool), bool), member(_u205), _u204), _u202)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_53_insertCI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_53_insertCI-1, axiom, ( hBOOL(hAPP(fun(_u209, bool), bool, hAPP(_u209, fun(fun(_u209, bool), bool), member(_u209), _u207), hAPP(fun(_u209, bool), fun(_u209, bool), hAPP(_u209, fun(fun(_u209, bool), fun(_u209, bool)), insert(_u209), _u208), _u206))) | ~hBOOL(hAPP(fun(_u209, bool), bool, hAPP(_u209, fun(fun(_u209, bool), bool), member(_u209), _u207), _u206)) )).
% 15.43/15.61 cnf(fact_53_insertCI-2, axiom, ( hBOOL(hAPP(fun(_u209, bool), bool, hAPP(_u209, fun(fun(_u209, bool), bool), member(_u209), _u207), hAPP(fun(_u209, bool), fun(_u209, bool), hAPP(_u209, fun(fun(_u209, bool), fun(_u209, bool)), insert(_u209), _u208), _u206))) | ( ti(_u209, _u207) != ti(_u209, _u208)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_54_insertE ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_54_insertE-1, axiom, ( ~hBOOL(hAPP(fun(_u213, bool), bool, hAPP(_u213, fun(fun(_u213, bool), bool), member(_u213), _u212), hAPP(fun(_u213, bool), fun(_u213, bool), hAPP(_u213, fun(fun(_u213, bool), fun(_u213, bool)), insert(_u213), _u211), _u210))) | ( ti(_u213, _u212) = ti(_u213, _u211)) | hBOOL(hAPP(fun(_u213, bool), bool, hAPP(_u213, fun(fun(_u213, bool), bool), member(_u213), _u212), _u210)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_55_insertI1 ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_55_insertI1-1, axiom, ( hBOOL(hAPP(fun(_u216, bool), bool, hAPP(_u216, fun(fun(_u216, bool), bool), member(_u216), _u215), hAPP(fun(_u216, bool), fun(_u216, bool), hAPP(_u216, fun(fun(_u216, bool), fun(_u216, bool)), insert(_u216), _u215), _u214))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_56_insert__compr ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_56_insert__compr-1, axiom, ( ( hAPP(fun(_u219, bool), fun(_u219, bool), hAPP(_u219, fun(fun(_u219, bool), fun(_u219, bool)), insert(_u219), _u218), _u217) = hAPP(fun(_u219, bool), fun(_u219, bool), collect(_u219), hAPP(fun(_u219, bool), fun(_u219, bool), hAPP(fun(_u219, fun(bool, bool)), fun(fun(_u219, bool), fun(_u219, bool)), combs(_u219, bool, bool), hAPP(fun(_u219, bool), fun(_u219, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u219, bool), fun(_u219, fun(bool, bool))), combb(bool, fun(bool, bool), _u219), fdisj), hAPP(_u219, fun(_u219, bool), hAPP(fun(_u219, fun(_u219, bool)), fun(_u219, fun(_u219, bool)), combc(_u219, _u219, bool), fequal(_u219)), _u218))), hAPP(fun(_u219, bool), fun(_u219, bool), hAPP(fun(_u219, fun(fun(_u219, bool), bool)), fun(fun(_u219, bool), fun(_u219, bool)), combc(_u219, fun(_u219, bool), bool), member(_u219)), _u217)))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_57_insert__Collect ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_57_insert__Collect-1, axiom, ( ( hAPP(fun(_u222, bool), fun(_u222, bool), hAPP(_u222, fun(fun(_u222, bool), fun(_u222, bool)), insert(_u222), _u221), hAPP(fun(_u222, bool), fun(_u222, bool), collect(_u222), _u220)) = hAPP(fun(_u222, bool), fun(_u222, bool), collect(_u222), hAPP(fun(_u222, bool), fun(_u222, bool), hAPP(fun(_u222, fun(bool, bool)), fun(fun(_u222, bool), fun(_u222, bool)), combs(_u222, bool, bool), hAPP(fun(_u222, bool), fun(_u222, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u222, bool), fun(_u222, fun(bool, bool))), combb(bool, fun(bool, bool), _u222), fimplies), hAPP(fun(_u222, bool), fun(_u222, bool), hAPP(fun(bool, bool), fun(fun(_u222, bool), fun(_u222, bool)), combb(bool, bool, _u222), fNot), hAPP(_u222, fun(_u222, bool), hAPP(fun(_u222, fun(_u222, bool)), fun(_u222, fun(_u222, bool)), combc(_u222, _u222, bool), fequal(_u222)), _u221)))), _u220))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_58_insert__absorb2 ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_58_insert__absorb2-1, axiom, ( ( hAPP(fun(_u225, bool), fun(_u225, bool), hAPP(_u225, fun(fun(_u225, bool), fun(_u225, bool)), insert(_u225), _u224), hAPP(fun(_u225, bool), fun(_u225, bool), hAPP(_u225, fun(fun(_u225, bool), fun(_u225, bool)), insert(_u225), _u224), _u223)) = hAPP(fun(_u225, bool), fun(_u225, bool), hAPP(_u225, fun(fun(_u225, bool), fun(_u225, bool)), insert(_u225), _u224), _u223)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_59_insert__commute ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_59_insert__commute-1, axiom, ( ( hAPP(fun(_u229, bool), fun(_u229, bool), hAPP(_u229, fun(fun(_u229, bool), fun(_u229, bool)), insert(_u229), _u228), hAPP(fun(_u229, bool), fun(_u229, bool), hAPP(_u229, fun(fun(_u229, bool), fun(_u229, bool)), insert(_u229), _u227), _u226)) = hAPP(fun(_u229, bool), fun(_u229, bool), hAPP(_u229, fun(fun(_u229, bool), fun(_u229, bool)), insert(_u229), _u227), hAPP(fun(_u229, bool), fun(_u229, bool), hAPP(_u229, fun(fun(_u229, bool), fun(_u229, bool)), insert(_u229), _u228), _u226))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_60_insert__iff ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_60_insert__iff-1, axiom, ( ~hBOOL(hAPP(fun(_u240, bool), bool, hAPP(_u240, fun(fun(_u240, bool), bool), member(_u240), _u238), hAPP(fun(_u240, bool), fun(_u240, bool), hAPP(_u240, fun(fun(_u240, bool), fun(_u240, bool)), insert(_u240), _u236), _u234))) | ( ti(_u240, _u238) = ti(_u240, _u236)) | hBOOL(hAPP(fun(_u240, bool), bool, hAPP(_u240, fun(fun(_u240, bool), bool), member(_u240), _u238), _u234)) )).
% 15.43/15.61 cnf(fact_60_insert__iff-2, axiom, ( hBOOL(hAPP(fun(_u241, bool), bool, hAPP(_u241, fun(fun(_u241, bool), bool), member(_u241), _u239), hAPP(fun(_u241, bool), fun(_u241, bool), hAPP(_u241, fun(fun(_u241, bool), fun(_u241, bool)), insert(_u241), _u237), _u235))) | ( ti(_u241, _u239) != ti(_u241, _u237)) )).
% 15.43/15.61 cnf(fact_60_insert__iff-3, axiom, ( hBOOL(hAPP(fun(_u241, bool), bool, hAPP(_u241, fun(fun(_u241, bool), bool), member(_u241), _u239), hAPP(fun(_u241, bool), fun(_u241, bool), hAPP(_u241, fun(fun(_u241, bool), fun(_u241, bool)), insert(_u241), _u237), _u235))) | ~hBOOL(hAPP(fun(_u241, bool), bool, hAPP(_u241, fun(fun(_u241, bool), bool), member(_u241), _u239), _u235)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_61_insert__code ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_61_insert__code-1, axiom, ( ~hBOOL(hAPP(_u252, bool, hAPP(fun(_u252, bool), fun(_u252, bool), hAPP(_u252, fun(fun(_u252, bool), fun(_u252, bool)), insert(_u252), _u250), _u248), _u246)) | ( ti(_u252, _u250) = ti(_u252, _u246)) | hBOOL(hAPP(_u252, bool, _u248, _u246)) )).
% 15.43/15.61 cnf(fact_61_insert__code-2, axiom, ( hBOOL(hAPP(_u253, bool, hAPP(fun(_u253, bool), fun(_u253, bool), hAPP(_u253, fun(fun(_u253, bool), fun(_u253, bool)), insert(_u253), _u251), _u249), _u247)) | ( ti(_u253, _u251) != ti(_u253, _u247)) )).
% 15.43/15.61 cnf(fact_61_insert__code-3, axiom, ( hBOOL(hAPP(_u253, bool, hAPP(fun(_u253, bool), fun(_u253, bool), hAPP(_u253, fun(fun(_u253, bool), fun(_u253, bool)), insert(_u253), _u251), _u249), _u247)) | ~hBOOL(hAPP(_u253, bool, _u249, _u247)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_62_insert__ident ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_62_insert__ident-1, axiom, ( hBOOL(hAPP(fun(_u257, bool), bool, hAPP(_u257, fun(fun(_u257, bool), bool), member(_u257), _u255), _u254)) | hBOOL(hAPP(fun(_u257, bool), bool, hAPP(_u257, fun(fun(_u257, bool), bool), member(_u257), _u255), _u256)) | ( hAPP(fun(_u257, bool), fun(_u257, bool), hAPP(_u257, fun(fun(_u257, bool), fun(_u257, bool)), insert(_u257), _u255), _u254) != hAPP(fun(_u257, bool), fun(_u257, bool), hAPP(_u257, fun(fun(_u257, bool), fun(_u257, bool)), insert(_u257), _u255), _u256)) | ( ti(fun(_u257, bool), _u254) = ti(fun(_u257, bool), _u256)) )).
% 15.43/15.61 cnf(fact_62_insert__ident-2, axiom, ( hBOOL(hAPP(fun(_u257, bool), bool, hAPP(_u257, fun(fun(_u257, bool), bool), member(_u257), _u255), _u254)) | hBOOL(hAPP(fun(_u257, bool), bool, hAPP(_u257, fun(fun(_u257, bool), bool), member(_u257), _u255), _u256)) | ( ti(fun(_u257, bool), _u254) != ti(fun(_u257, bool), _u256)) | ( hAPP(fun(_u257, bool), fun(_u257, bool), hAPP(_u257, fun(fun(_u257, bool), fun(_u257, bool)), insert(_u257), _u255), _u254) = hAPP(fun(_u257, bool), fun(_u257, bool), hAPP(_u257, fun(fun(_u257, bool), fun(_u257, bool)), insert(_u257), _u255), _u256)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_63_insertI2 ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_63_insertI2-1, axiom, ( ~hBOOL(hAPP(fun(_u261, bool), bool, hAPP(_u261, fun(fun(_u261, bool), bool), member(_u261), _u259), _u258)) | hBOOL(hAPP(fun(_u261, bool), bool, hAPP(_u261, fun(fun(_u261, bool), bool), member(_u261), _u259), hAPP(fun(_u261, bool), fun(_u261, bool), hAPP(_u261, fun(fun(_u261, bool), fun(_u261, bool)), insert(_u261), _u260), _u258))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_64_insert__absorb ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_64_insert__absorb-1, axiom, ( ~hBOOL(hAPP(fun(_u264, bool), bool, hAPP(_u264, fun(fun(_u264, bool), bool), member(_u264), _u263), _u262)) | ( hAPP(fun(_u264, bool), fun(_u264, bool), hAPP(_u264, fun(fun(_u264, bool), fun(_u264, bool)), insert(_u264), _u263), _u262) = ti(fun(_u264, bool), _u262)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_65_subset__refl ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_65_subset__refl-1, axiom, ( hBOOL(hAPP(fun(_u266, bool), bool, hAPP(fun(_u266, bool), fun(fun(_u266, bool), bool), ord_less_eq(fun(_u266, bool)), _u265), _u265)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_66_set__eq__subset ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_66_set__eq__subset-1, axiom, ( ( ti(fun(_u274, bool), _u272) != ti(fun(_u274, bool), _u270)) | hBOOL(hAPP(fun(_u274, bool), bool, hAPP(fun(_u274, bool), fun(fun(_u274, bool), bool), ord_less_eq(fun(_u274, bool)), _u272), _u270)) )).
% 15.43/15.61 cnf(fact_66_set__eq__subset-2, axiom, ( ( ti(fun(_u274, bool), _u272) != ti(fun(_u274, bool), _u270)) | hBOOL(hAPP(fun(_u274, bool), bool, hAPP(fun(_u274, bool), fun(fun(_u274, bool), bool), ord_less_eq(fun(_u274, bool)), _u270), _u272)) )).
% 15.43/15.61 cnf(fact_66_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(fun(_u275, bool), bool, hAPP(fun(_u275, bool), fun(fun(_u275, bool), bool), ord_less_eq(fun(_u275, bool)), _u273), _u271)) | ~hBOOL(hAPP(fun(_u275, bool), bool, hAPP(fun(_u275, bool), fun(fun(_u275, bool), bool), ord_less_eq(fun(_u275, bool)), _u271), _u273)) | ( ti(fun(_u275, bool), _u273) = ti(fun(_u275, bool), _u271)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_67_equalityD1 ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_67_equalityD1-1, axiom, ( ( ti(fun(_u278, bool), _u277) != ti(fun(_u278, bool), _u276)) | hBOOL(hAPP(fun(_u278, bool), bool, hAPP(fun(_u278, bool), fun(fun(_u278, bool), bool), ord_less_eq(fun(_u278, bool)), _u277), _u276)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_68_equalityD2 ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_68_equalityD2-1, axiom, ( ( ti(fun(_u281, bool), _u280) != ti(fun(_u281, bool), _u279)) | hBOOL(hAPP(fun(_u281, bool), bool, hAPP(fun(_u281, bool), fun(fun(_u281, bool), bool), ord_less_eq(fun(_u281, bool)), _u279), _u280)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_69_in__mono ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_69_in__mono-1, axiom, ( ~hBOOL(hAPP(fun(_u285, bool), bool, hAPP(fun(_u285, bool), fun(fun(_u285, bool), bool), ord_less_eq(fun(_u285, bool)), _u283), _u282)) | ~hBOOL(hAPP(fun(_u285, bool), bool, hAPP(_u285, fun(fun(_u285, bool), bool), member(_u285), _u284), _u283)) | hBOOL(hAPP(fun(_u285, bool), bool, hAPP(_u285, fun(fun(_u285, bool), bool), member(_u285), _u284), _u282)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_70_set__rev__mp ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_70_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(fun(_u289, bool), bool, hAPP(_u289, fun(fun(_u289, bool), bool), member(_u289), _u287), _u286)) | ~hBOOL(hAPP(fun(_u289, bool), bool, hAPP(fun(_u289, bool), fun(fun(_u289, bool), bool), ord_less_eq(fun(_u289, bool)), _u286), _u288)) | hBOOL(hAPP(fun(_u289, bool), bool, hAPP(_u289, fun(fun(_u289, bool), bool), member(_u289), _u287), _u288)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_71_set__mp ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_71_set__mp-1, axiom, ( ~hBOOL(hAPP(fun(_u293, bool), bool, hAPP(fun(_u293, bool), fun(fun(_u293, bool), bool), ord_less_eq(fun(_u293, bool)), _u291), _u290)) | ~hBOOL(hAPP(fun(_u293, bool), bool, hAPP(_u293, fun(fun(_u293, bool), bool), member(_u293), _u292), _u291)) | hBOOL(hAPP(fun(_u293, bool), bool, hAPP(_u293, fun(fun(_u293, bool), bool), member(_u293), _u292), _u290)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_72_subset__trans ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_72_subset__trans-1, axiom, ( ~hBOOL(hAPP(fun(_u297, bool), bool, hAPP(fun(_u297, bool), fun(fun(_u297, bool), bool), ord_less_eq(fun(_u297, bool)), _u295), _u294)) | ~hBOOL(hAPP(fun(_u297, bool), bool, hAPP(fun(_u297, bool), fun(fun(_u297, bool), bool), ord_less_eq(fun(_u297, bool)), _u294), _u296)) | hBOOL(hAPP(fun(_u297, bool), bool, hAPP(fun(_u297, bool), fun(fun(_u297, bool), bool), ord_less_eq(fun(_u297, bool)), _u295), _u296)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_73_equalityE ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_73_equalityE-1, axiom, ( ( ti(fun(_u300, bool), _u299) != ti(fun(_u300, bool), _u298)) | hBOOL(hAPP(fun(_u300, bool), bool, hAPP(fun(_u300, bool), fun(fun(_u300, bool), bool), ord_less_eq(fun(_u300, bool)), _u299), _u298)) )).
% 15.43/15.61 cnf(fact_73_equalityE-2, axiom, ( ( ti(fun(_u300, bool), _u299) != ti(fun(_u300, bool), _u298)) | hBOOL(hAPP(fun(_u300, bool), bool, hAPP(fun(_u300, bool), fun(fun(_u300, bool), bool), ord_less_eq(fun(_u300, bool)), _u298), _u299)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_74_ext ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_74_ext-1, axiom, ( ( hAPP(_u305, _u304, _u303, skolem4(_u305, _u304, _u303, _u302)) != hAPP(_u305, _u304, _u302, skolem4(_u305, _u304, _u303, _u302))) | ( ti(fun(_u305, _u304), _u303) = ti(fun(_u305, _u304), _u302)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_75_mem__def ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_75_mem__def-1, axiom, ( ~hBOOL(hAPP(fun(_u313, bool), bool, hAPP(_u313, fun(fun(_u313, bool), bool), member(_u313), _u311), _u309)) | hBOOL(hAPP(_u313, bool, _u309, _u311)) )).
% 15.43/15.61 cnf(fact_75_mem__def-2, axiom, ( ~hBOOL(hAPP(_u314, bool, _u310, _u312)) | hBOOL(hAPP(fun(_u314, bool), bool, hAPP(_u314, fun(fun(_u314, bool), bool), member(_u314), _u312), _u310)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_76_Collect__def ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_76_Collect__def-1, axiom, ( ( hAPP(fun(_u316, bool), fun(_u316, bool), collect(_u316), _u315) = ti(fun(_u316, bool), _u315)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_77_image__iff ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_77_image__iff-1, axiom, ( ~hBOOL(hAPP(fun(_u332, bool), bool, hAPP(_u332, fun(fun(_u332, bool), bool), member(_u332), _u328), hAPP(fun(_u330, bool), fun(_u332, bool), hAPP(fun(_u330, _u332), fun(fun(_u330, bool), fun(_u332, bool)), image(_u330, _u332), _u326), _u324))) | hBOOL(hAPP(fun(_u330, bool), bool, hAPP(_u330, fun(fun(_u330, bool), bool), member(_u330), skolem5(_u332, _u330, _u328, _u326, _u324)), _u324)) )).
% 15.43/15.61 cnf(fact_77_image__iff-2, axiom, ( ~hBOOL(hAPP(fun(_u332, bool), bool, hAPP(_u332, fun(fun(_u332, bool), bool), member(_u332), _u328), hAPP(fun(_u330, bool), fun(_u332, bool), hAPP(fun(_u330, _u332), fun(fun(_u330, bool), fun(_u332, bool)), image(_u330, _u332), _u326), _u324))) | ( ti(_u332, _u328) = hAPP(_u330, _u332, _u326, skolem5(_u332, _u330, _u328, _u326, _u324))) )).
% 15.43/15.61 cnf(fact_77_image__iff-3, axiom, ( ~hBOOL(hAPP(fun(_u331, bool), bool, hAPP(_u331, fun(fun(_u331, bool), bool), member(_u331), _u318), _u325)) | ( ti(_u333, _u329) != hAPP(_u331, _u333, _u327, _u318)) | hBOOL(hAPP(fun(_u333, bool), bool, hAPP(_u333, fun(fun(_u333, bool), bool), member(_u333), _u329), hAPP(fun(_u331, bool), fun(_u333, bool), hAPP(fun(_u331, _u333), fun(fun(_u331, bool), fun(_u333, bool)), image(_u331, _u333), _u327), _u325))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_78_imageI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_78_imageI-1, axiom, ( ~hBOOL(hAPP(fun(_u337, bool), bool, hAPP(_u337, fun(fun(_u337, bool), bool), member(_u337), _u335), _u334)) | hBOOL(hAPP(fun(_u338, bool), bool, hAPP(_u338, fun(fun(_u338, bool), bool), member(_u338), hAPP(_u337, _u338, _u336, _u335)), hAPP(fun(_u337, bool), fun(_u338, bool), hAPP(fun(_u337, _u338), fun(fun(_u337, bool), fun(_u338, bool)), image(_u337, _u338), _u336), _u334))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_79_rev__image__eqI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_79_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(fun(_u343, bool), bool, hAPP(_u343, fun(fun(_u343, bool), bool), member(_u343), _u340), _u339)) | ( ti(_u344, _u342) != hAPP(_u343, _u344, _u341, _u340)) | hBOOL(hAPP(fun(_u344, bool), bool, hAPP(_u344, fun(fun(_u344, bool), bool), member(_u344), _u342), hAPP(fun(_u343, bool), fun(_u344, bool), hAPP(fun(_u343, _u344), fun(fun(_u343, bool), fun(_u344, bool)), image(_u343, _u344), _u341), _u339))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_80_insert__compr__raw ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_80_insert__compr__raw-1, axiom, ( ( hAPP(fun(_u347, bool), fun(_u347, bool), hAPP(_u347, fun(fun(_u347, bool), fun(_u347, bool)), insert(_u347), _u346), _u345) = hAPP(fun(_u347, bool), fun(_u347, bool), collect(_u347), hAPP(fun(_u347, bool), fun(_u347, bool), hAPP(fun(_u347, fun(bool, bool)), fun(fun(_u347, bool), fun(_u347, bool)), combs(_u347, bool, bool), hAPP(fun(_u347, bool), fun(_u347, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u347, bool), fun(_u347, fun(bool, bool))), combb(bool, fun(bool, bool), _u347), fdisj), hAPP(_u347, fun(_u347, bool), hAPP(fun(_u347, fun(_u347, bool)), fun(_u347, fun(_u347, bool)), combc(_u347, _u347, bool), fequal(_u347)), _u346))), hAPP(fun(_u347, bool), fun(_u347, bool), hAPP(fun(_u347, fun(fun(_u347, bool), bool)), fun(fun(_u347, bool), fun(_u347, bool)), combc(_u347, fun(_u347, bool), bool), member(_u347)), _u345)))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_81_image__image ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_81_image__image-1, axiom, ( ( hAPP(fun(_u353, bool), fun(_u352, bool), hAPP(fun(_u353, _u352), fun(fun(_u353, bool), fun(_u352, bool)), image(_u353, _u352), _u350), hAPP(fun(_u351, bool), fun(_u353, bool), hAPP(fun(_u351, _u353), fun(fun(_u351, bool), fun(_u353, bool)), image(_u351, _u353), _u349), _u348)) = hAPP(fun(_u351, bool), fun(_u352, bool), hAPP(fun(_u351, _u352), fun(fun(_u351, bool), fun(_u352, bool)), image(_u351, _u352), hAPP(fun(_u351, _u353), fun(_u351, _u352), hAPP(fun(_u353, _u352), fun(fun(_u351, _u353), fun(_u351, _u352)), combb(_u353, _u352, _u351), _u350), _u349)), _u348)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_82_image__ident ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_82_image__ident-1, axiom, ( ( hAPP(fun(_u355, bool), fun(_u355, bool), hAPP(fun(_u355, _u355), fun(fun(_u355, bool), fun(_u355, bool)), image(_u355, _u355), combi(_u355)), _u354) = ti(fun(_u355, bool), _u354)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_83_subset__insertI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_83_subset__insertI-1, axiom, ( hBOOL(hAPP(fun(_u358, bool), bool, hAPP(fun(_u358, bool), fun(fun(_u358, bool), bool), ord_less_eq(fun(_u358, bool)), _u357), hAPP(fun(_u358, bool), fun(_u358, bool), hAPP(_u358, fun(fun(_u358, bool), fun(_u358, bool)), insert(_u358), _u356), _u357))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_84_insert__subset ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_84_insert__subset-1, axiom, ( ~hBOOL(hAPP(fun(_u369, bool), bool, hAPP(fun(_u369, bool), fun(fun(_u369, bool), bool), ord_less_eq(fun(_u369, bool)), hAPP(fun(_u369, bool), fun(_u369, bool), hAPP(_u369, fun(fun(_u369, bool), fun(_u369, bool)), insert(_u369), _u367), _u365)), _u363)) | hBOOL(hAPP(fun(_u369, bool), bool, hAPP(_u369, fun(fun(_u369, bool), bool), member(_u369), _u367), _u363)) )).
% 15.43/15.61 cnf(fact_84_insert__subset-2, axiom, ( ~hBOOL(hAPP(fun(_u369, bool), bool, hAPP(fun(_u369, bool), fun(fun(_u369, bool), bool), ord_less_eq(fun(_u369, bool)), hAPP(fun(_u369, bool), fun(_u369, bool), hAPP(_u369, fun(fun(_u369, bool), fun(_u369, bool)), insert(_u369), _u367), _u365)), _u363)) | hBOOL(hAPP(fun(_u369, bool), bool, hAPP(fun(_u369, bool), fun(fun(_u369, bool), bool), ord_less_eq(fun(_u369, bool)), _u365), _u363)) )).
% 15.43/15.61 cnf(fact_84_insert__subset-3, axiom, ( ~hBOOL(hAPP(fun(_u370, bool), bool, hAPP(_u370, fun(fun(_u370, bool), bool), member(_u370), _u368), _u364)) | ~hBOOL(hAPP(fun(_u370, bool), bool, hAPP(fun(_u370, bool), fun(fun(_u370, bool), bool), ord_less_eq(fun(_u370, bool)), _u366), _u364)) | hBOOL(hAPP(fun(_u370, bool), bool, hAPP(fun(_u370, bool), fun(fun(_u370, bool), bool), ord_less_eq(fun(_u370, bool)), hAPP(fun(_u370, bool), fun(_u370, bool), hAPP(_u370, fun(fun(_u370, bool), fun(_u370, bool)), insert(_u370), _u368), _u366)), _u364)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_85_subset__insert ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_85_subset__insert-1, axiom, ( hBOOL(hAPP(fun(_u374, bool), bool, hAPP(_u374, fun(fun(_u374, bool), bool), member(_u374), _u372), _u371)) | ~hBOOL(hAPP(fun(_u374, bool), bool, hAPP(fun(_u374, bool), fun(fun(_u374, bool), bool), ord_less_eq(fun(_u374, bool)), _u371), hAPP(fun(_u374, bool), fun(_u374, bool), hAPP(_u374, fun(fun(_u374, bool), fun(_u374, bool)), insert(_u374), _u372), _u373))) | hBOOL(hAPP(fun(_u374, bool), bool, hAPP(fun(_u374, bool), fun(fun(_u374, bool), bool), ord_less_eq(fun(_u374, bool)), _u371), _u373)) )).
% 15.43/15.61 cnf(fact_85_subset__insert-2, axiom, ( hBOOL(hAPP(fun(_u374, bool), bool, hAPP(_u374, fun(fun(_u374, bool), bool), member(_u374), _u372), _u371)) | ~hBOOL(hAPP(fun(_u374, bool), bool, hAPP(fun(_u374, bool), fun(fun(_u374, bool), bool), ord_less_eq(fun(_u374, bool)), _u371), _u373)) | hBOOL(hAPP(fun(_u374, bool), bool, hAPP(fun(_u374, bool), fun(fun(_u374, bool), bool), ord_less_eq(fun(_u374, bool)), _u371), hAPP(fun(_u374, bool), fun(_u374, bool), hAPP(_u374, fun(fun(_u374, bool), fun(_u374, bool)), insert(_u374), _u372), _u373))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_86_subset__insertI2 ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_86_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(fun(_u378, bool), bool, hAPP(fun(_u378, bool), fun(fun(_u378, bool), bool), ord_less_eq(fun(_u378, bool)), _u376), _u375)) | hBOOL(hAPP(fun(_u378, bool), bool, hAPP(fun(_u378, bool), fun(fun(_u378, bool), bool), ord_less_eq(fun(_u378, bool)), _u376), hAPP(fun(_u378, bool), fun(_u378, bool), hAPP(_u378, fun(fun(_u378, bool), fun(_u378, bool)), insert(_u378), _u377), _u375))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_87_insert__mono ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_87_insert__mono-1, axiom, ( ~hBOOL(hAPP(fun(_u382, bool), bool, hAPP(fun(_u382, bool), fun(fun(_u382, bool), bool), ord_less_eq(fun(_u382, bool)), _u380), _u379)) | hBOOL(hAPP(fun(_u382, bool), bool, hAPP(fun(_u382, bool), fun(fun(_u382, bool), bool), ord_less_eq(fun(_u382, bool)), hAPP(fun(_u382, bool), fun(_u382, bool), hAPP(_u382, fun(fun(_u382, bool), fun(_u382, bool)), insert(_u382), _u381), _u380)), hAPP(fun(_u382, bool), fun(_u382, bool), hAPP(_u382, fun(fun(_u382, bool), fun(_u382, bool)), insert(_u382), _u381), _u379))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_88_image__insert ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_88_image__insert-1, axiom, ( ( hAPP(fun(_u387, bool), fun(_u386, bool), hAPP(fun(_u387, _u386), fun(fun(_u387, bool), fun(_u386, bool)), image(_u387, _u386), _u385), hAPP(fun(_u387, bool), fun(_u387, bool), hAPP(_u387, fun(fun(_u387, bool), fun(_u387, bool)), insert(_u387), _u384), _u383)) = hAPP(fun(_u386, bool), fun(_u386, bool), hAPP(_u386, fun(fun(_u386, bool), fun(_u386, bool)), insert(_u386), hAPP(_u387, _u386, _u385, _u384)), hAPP(fun(_u387, bool), fun(_u386, bool), hAPP(fun(_u387, _u386), fun(fun(_u387, bool), fun(_u386, bool)), image(_u387, _u386), _u385), _u383))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_89_insert__image ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_89_insert__image-1, axiom, ( ~hBOOL(hAPP(fun(_u391, bool), bool, hAPP(_u391, fun(fun(_u391, bool), bool), member(_u391), _u389), _u388)) | ( hAPP(fun(_u392, bool), fun(_u392, bool), hAPP(_u392, fun(fun(_u392, bool), fun(_u392, bool)), insert(_u392), hAPP(_u391, _u392, _u390, _u389)), hAPP(fun(_u391, bool), fun(_u392, bool), hAPP(fun(_u391, _u392), fun(fun(_u391, bool), fun(_u392, bool)), image(_u391, _u392), _u390), _u388)) = hAPP(fun(_u391, bool), fun(_u392, bool), hAPP(fun(_u391, _u392), fun(fun(_u391, bool), fun(_u392, bool)), image(_u391, _u392), _u390), _u388)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_90_subset__image__iff ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_90_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(fun(_u408, bool), bool, hAPP(fun(_u408, bool), fun(fun(_u408, bool), bool), ord_less_eq(fun(_u408, bool)), _u404), hAPP(fun(_u406, bool), fun(_u408, bool), hAPP(fun(_u406, _u408), fun(fun(_u406, bool), fun(_u408, bool)), image(_u406, _u408), _u402), _u400))) | hBOOL(hAPP(fun(_u406, bool), bool, hAPP(fun(_u406, bool), fun(fun(_u406, bool), bool), ord_less_eq(fun(_u406, bool)), skolem6(_u408, _u406, _u404, _u402, _u400)), _u400)) )).
% 15.43/15.61 cnf(fact_90_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(fun(_u408, bool), bool, hAPP(fun(_u408, bool), fun(fun(_u408, bool), bool), ord_less_eq(fun(_u408, bool)), _u404), hAPP(fun(_u406, bool), fun(_u408, bool), hAPP(fun(_u406, _u408), fun(fun(_u406, bool), fun(_u408, bool)), image(_u406, _u408), _u402), _u400))) | ( ti(fun(_u408, bool), _u404) = hAPP(fun(_u406, bool), fun(_u408, bool), hAPP(fun(_u406, _u408), fun(fun(_u406, bool), fun(_u408, bool)), image(_u406, _u408), _u402), skolem6(_u408, _u406, _u404, _u402, _u400))) )).
% 15.43/15.61 cnf(fact_90_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(fun(_u407, bool), bool, hAPP(fun(_u407, bool), fun(fun(_u407, bool), bool), ord_less_eq(fun(_u407, bool)), _u394), _u401)) | ( ti(fun(_u409, bool), _u405) != hAPP(fun(_u407, bool), fun(_u409, bool), hAPP(fun(_u407, _u409), fun(fun(_u407, bool), fun(_u409, bool)), image(_u407, _u409), _u403), _u394)) | hBOOL(hAPP(fun(_u409, bool), bool, hAPP(fun(_u409, bool), fun(fun(_u409, bool), bool), ord_less_eq(fun(_u409, bool)), _u405), hAPP(fun(_u407, bool), fun(_u409, bool), hAPP(fun(_u407, _u409), fun(fun(_u407, bool), fun(_u409, bool)), image(_u407, _u409), _u403), _u401))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_91_image__mono ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_91_image__mono-1, axiom, ( ~hBOOL(hAPP(fun(_u413, bool), bool, hAPP(fun(_u413, bool), fun(fun(_u413, bool), bool), ord_less_eq(fun(_u413, bool)), _u411), _u410)) | hBOOL(hAPP(fun(_u414, bool), bool, hAPP(fun(_u414, bool), fun(fun(_u414, bool), bool), ord_less_eq(fun(_u414, bool)), hAPP(fun(_u413, bool), fun(_u414, bool), hAPP(fun(_u413, _u414), fun(fun(_u413, bool), fun(_u414, bool)), image(_u413, _u414), _u412), _u411)), hAPP(fun(_u413, bool), fun(_u414, bool), hAPP(fun(_u413, _u414), fun(fun(_u413, bool), fun(_u414, bool)), image(_u413, _u414), _u412), _u410))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_92_imageE ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_92_imageE-1, axiom, ( ~hBOOL(hAPP(fun(_u420, bool), bool, hAPP(_u420, fun(fun(_u420, bool), bool), member(_u420), _u418), hAPP(fun(_u419, bool), fun(_u420, bool), hAPP(fun(_u419, _u420), fun(fun(_u419, bool), fun(_u420, bool)), image(_u419, _u420), _u417), _u416))) | ( ti(_u420, _u418) = hAPP(_u419, _u420, _u417, skolem7(_u420, _u419, _u418, _u417, _u416))) )).
% 15.43/15.61 cnf(fact_92_imageE-2, axiom, ( ~hBOOL(hAPP(fun(_u420, bool), bool, hAPP(_u420, fun(fun(_u420, bool), bool), member(_u420), _u418), hAPP(fun(_u419, bool), fun(_u420, bool), hAPP(fun(_u419, _u420), fun(fun(_u419, bool), fun(_u420, bool)), image(_u419, _u420), _u417), _u416))) | hBOOL(hAPP(fun(_u419, bool), bool, hAPP(_u419, fun(fun(_u419, bool), bool), member(_u419), skolem7(_u420, _u419, _u418, _u417, _u416)), _u416)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_93_subsetI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_93_subsetI-1, axiom, ( hBOOL(hAPP(fun(_u424, bool), bool, hAPP(fun(_u424, bool), fun(fun(_u424, bool), bool), ord_less_eq(fun(_u424, bool)), _u422), _u423)) | hBOOL(hAPP(fun(_u424, bool), bool, hAPP(_u424, fun(fun(_u424, bool), bool), member(_u424), skolem8(_u424, _u423, _u422)), _u422)) )).
% 15.43/15.61 cnf(fact_93_subsetI-2, axiom, ( hBOOL(hAPP(fun(_u424, bool), bool, hAPP(fun(_u424, bool), fun(fun(_u424, bool), bool), ord_less_eq(fun(_u424, bool)), _u422), _u423)) | ~hBOOL(hAPP(fun(_u424, bool), bool, hAPP(_u424, fun(fun(_u424, bool), bool), member(_u424), skolem8(_u424, _u423, _u422)), _u423)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_94_zero__induct__lemma ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_94_zero__induct__lemma-1, axiom, ( ~hBOOL(hAPP(nat, bool, _u427, _u426)) | hBOOL(hAPP(nat, bool, _u427, hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u426), _u428))) | hBOOL(hAPP(nat, bool, _u427, hAPP(nat, nat, suc, skolem9(_u428, _u427, _u426)))) )).
% 15.43/15.61 cnf(fact_94_zero__induct__lemma-2, axiom, ( ~hBOOL(hAPP(nat, bool, _u427, _u426)) | hBOOL(hAPP(nat, bool, _u427, hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u426), _u428))) | ~hBOOL(hAPP(nat, bool, _u427, skolem9(_u428, _u427, _u426))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_95_Suc__le__D ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_95_Suc__le__D-1, axiom, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u431)), _u430)) | ( _u430 = hAPP(nat, nat, suc, skolem10(_u431, _u430))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_96_image__subsetI ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_96_image__subsetI-1, axiom, ( hBOOL(hAPP(fun(_u437, bool), bool, hAPP(fun(_u437, bool), fun(fun(_u437, bool), bool), ord_less_eq(fun(_u437, bool)), hAPP(fun(_u436, bool), fun(_u437, bool), hAPP(fun(_u436, _u437), fun(fun(_u436, bool), fun(_u437, bool)), image(_u436, _u437), _u435), _u433)), _u434)) | hBOOL(hAPP(fun(_u436, bool), bool, hAPP(_u436, fun(fun(_u436, bool), bool), member(_u436), skolem11(_u437, _u436, _u435, _u434, _u433)), _u433)) )).
% 15.43/15.61 cnf(fact_96_image__subsetI-2, axiom, ( hBOOL(hAPP(fun(_u437, bool), bool, hAPP(fun(_u437, bool), fun(fun(_u437, bool), bool), ord_less_eq(fun(_u437, bool)), hAPP(fun(_u436, bool), fun(_u437, bool), hAPP(fun(_u436, _u437), fun(fun(_u436, bool), fun(_u437, bool)), image(_u436, _u437), _u435), _u433)), _u434)) | ~hBOOL(hAPP(fun(_u437, bool), bool, hAPP(_u437, fun(fun(_u437, bool), bool), member(_u437), hAPP(_u436, _u437, _u435, skolem11(_u437, _u436, _u435, _u434, _u433))), _u434)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_97_order__refl ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_97_order__refl-1, axiom, ( ~preorder(_u439) | hBOOL(hAPP(_u439, bool, hAPP(_u439, fun(_u439, bool), ord_less_eq(_u439), _u438), _u438)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: fact_98_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 15.43/15.61 cnf(fact_98_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(fun(nat, bool), bool, finite_finite(nat), _u445)) | ~hBOOL(hAPP(fun(nat, bool), bool, hAPP(nat, fun(fun(nat, bool), bool), member(nat), _u440), _u445)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u440), skolem12(_u445))) )).
% 15.43/15.61 cnf(fact_98_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(fun(nat, bool), bool, finite_finite(nat), _u446)) | hBOOL(hAPP(fun(nat, bool), bool, hAPP(nat, fun(fun(nat, bool), bool), member(nat), skolem13(_u446, _u443)), _u446)) )).
% 15.43/15.61 cnf(fact_98_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(fun(nat, bool), bool, finite_finite(nat), _u446)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), skolem13(_u446, _u443)), _u443)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: arity_fun___Orderings_Opreorder ( axiom ) converted to clauses:
% 15.43/15.61 cnf(arity_fun___Orderings_Opreorder-1, axiom, ( ~preorder(_u447) | preorder(fun(_u448, _u447)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: arity_fun___Finite__Set_Ofinite ( axiom ) converted to clauses:
% 15.43/15.61 cnf(arity_fun___Finite__Set_Ofinite-1, axiom, ( ~finite_finite_1(_u449) | ~finite_finite_1(_u450) | finite_finite_1(fun(_u450, _u449)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: arity_fun___Orderings_Oorder ( axiom ) converted to clauses:
% 15.43/15.61 cnf(arity_fun___Orderings_Oorder-1, axiom, ( ~order(_u451) | order(fun(_u452, _u451)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: arity_Nat_Onat___Orderings_Opreorder ( axiom ) converted to clauses:
% 15.43/15.61 cnf(arity_Nat_Onat___Orderings_Opreorder-1, axiom, ( preorder(nat) )).
% 15.43/15.61
% 15.43/15.61 % Formula: arity_Nat_Onat___Orderings_Oorder ( axiom ) converted to clauses:
% 15.43/15.61 cnf(arity_Nat_Onat___Orderings_Oorder-1, axiom, ( order(nat) )).
% 15.43/15.61
% 15.43/15.61 % Formula: arity_HOL_Obool___Orderings_Opreorder ( axiom ) converted to clauses:
% 15.43/15.61 cnf(arity_HOL_Obool___Orderings_Opreorder-1, axiom, ( preorder(bool) )).
% 15.43/15.61
% 15.43/15.61 % Formula: arity_HOL_Obool___Finite__Set_Ofinite ( axiom ) converted to clauses:
% 15.43/15.61 cnf(arity_HOL_Obool___Finite__Set_Ofinite-1, axiom, ( finite_finite_1(bool) )).
% 15.43/15.61
% 15.43/15.61 % Formula: arity_HOL_Obool___Orderings_Oorder ( axiom ) converted to clauses:
% 15.43/15.61 cnf(arity_HOL_Obool___Orderings_Oorder-1, axiom, ( order(bool) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_ti_idem ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_ti_idem-1, axiom, ( ( ti(_u454, ti(_u454, _u453)) = ti(_u454, _u453)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fNot_1_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fNot_1_1_U-1, axiom, ( ~hBOOL(hAPP(bool, bool, fNot, _u455)) | ~hBOOL(_u455) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fNot_2_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fNot_2_1_U-1, axiom, ( hBOOL(_u456) | hBOOL(hAPP(bool, bool, fNot, _u456)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_COMBB_1_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_COMBB_1_1_U-1, axiom, ( ( hAPP(_u462, _u461, hAPP(fun(_u462, _u460), fun(_u462, _u461), hAPP(fun(_u460, _u461), fun(fun(_u462, _u460), fun(_u462, _u461)), combb(_u460, _u461, _u462), _u459), _u458), _u457) = hAPP(_u460, _u461, _u459, hAPP(_u462, _u460, _u458, _u457))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_COMBC_1_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_COMBC_1_1_U-1, axiom, ( ( hAPP(_u468, _u467, hAPP(_u466, fun(_u468, _u467), hAPP(fun(_u468, fun(_u466, _u467)), fun(_u466, fun(_u468, _u467)), combc(_u468, _u466, _u467), _u465), _u464), _u463) = hAPP(_u466, _u467, hAPP(_u468, fun(_u466, _u467), _u465, _u463), _u464)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_COMBI_1_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_COMBI_1_1_U-1, axiom, ( ( hAPP(_u470, _u470, combi(_u470), _u469) = ti(_u470, _u469)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_COMBS_1_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_COMBS_1_1_U-1, axiom, ( ( hAPP(_u476, _u475, hAPP(fun(_u476, _u474), fun(_u476, _u475), hAPP(fun(_u476, fun(_u474, _u475)), fun(fun(_u476, _u474), fun(_u476, _u475)), combs(_u476, _u474, _u475), _u473), _u472), _u471) = hAPP(_u474, _u475, hAPP(_u476, fun(_u474, _u475), _u473, _u471), hAPP(_u476, _u474, _u472, _u471))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fconj_1_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fconj_1_1_U-1, axiom, ( ~hBOOL(_u478) | ~hBOOL(_u477) | hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fconj, _u477), _u478)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fconj_2_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fconj_2_1_U-1, axiom, ( hBOOL(_u480) | ~hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fconj, _u480), _u479)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fconj_3_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fconj_3_1_U-1, axiom, ( ~hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fconj, _u482), _u481)) | hBOOL(_u481) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fdisj_1_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fdisj_1_1_U-1, axiom, ( ~hBOOL(_u483) | hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fdisj, _u483), _u484)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fdisj_2_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fdisj_2_1_U-1, axiom, ( ~hBOOL(_u485) | hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fdisj, _u486), _u485)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fdisj_3_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fdisj_3_1_U-1, axiom, ( hBOOL(_u488) | ~hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fdisj, _u488), _u487)) | hBOOL(_u487) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fequal_1_1_T ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fequal_1_1_T-1, axiom, ( ~hBOOL(hAPP(_u491, bool, hAPP(_u491, fun(_u491, bool), fequal(_u491), _u490), _u489)) | ( ti(_u491, _u490) = ti(_u491, _u489)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fequal_2_1_T ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fequal_2_1_T-1, axiom, ( ( ti(_u494, _u493) != ti(_u494, _u492)) | hBOOL(hAPP(_u494, bool, hAPP(_u494, fun(_u494, bool), fequal(_u494), _u493), _u492)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fimplies_1_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fimplies_1_1_U-1, axiom, ( hBOOL(_u495) | hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fimplies, _u495), _u496)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fimplies_2_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fimplies_2_1_U-1, axiom, ( ~hBOOL(_u497) | hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fimplies, _u498), _u497)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: help_fimplies_3_1_U ( axiom ) converted to clauses:
% 15.43/15.61 cnf(help_fimplies_3_1_U-1, axiom, ( ~hBOOL(_u500) | ~hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fimplies, _u500), _u499)) | hBOOL(_u499) )).
% 15.43/15.61
% 15.43/15.61 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(conj_0-1, hypothesis, ( hBOOL(hAPP(fun(pname, bool), bool, finite_finite(pname), u)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: conj_1 ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(conj_1-1, hypothesis, ( hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), g), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: conj_2 ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(conj_2-1, hypothesis, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, na)), hAPP(fun(x_a, bool), nat, finite_card(x_a), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u)))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: conj_3 ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(conj_3-1, hypothesis, ( ( hAPP(fun(x_a, bool), nat, finite_card(x_a), g) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(fun(x_a, bool), nat, finite_card(x_a), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))), hAPP(nat, nat, suc, na))) )).
% 15.43/15.61
% 15.43/15.61 % Formula: conj_4 ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(conj_4-1, hypothesis, ( hBOOL(hAPP(fun(pname, bool), bool, hAPP(pname, fun(fun(pname, bool), bool), member(pname), pn), u)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: conj_5 ( hypothesis ) converted to clauses:
% 15.43/15.61 cnf(conj_5-1, hypothesis, ( ~hBOOL(hAPP(fun(x_a, bool), bool, hAPP(x_a, fun(fun(x_a, bool), bool), member(x_a), hAPP(pname, x_a, mgt_call, pn)), g)) )).
% 15.43/15.61
% 15.43/15.61 % Formula: conj_6 ( conjecture ) converted to clauses:
% 15.43/15.61 cnf(conj_6-1, negated_conjecture, ( ~hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), hAPP(fun(x_a, bool), fun(x_a, bool), hAPP(x_a, fun(fun(x_a, bool), fun(x_a, bool)), insert(x_a), hAPP(pname, x_a, mgt_call, pn)), g)), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))) )).
% 15.43/15.61
% 15.43/15.61 % Problem matrix:
% 15.43/15.61 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 15.43/15.61 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 15.43/15.61 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 15.43/15.61 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( fun(__eqx_0, __eqx_1) = fun(__eqy_0, __eqy_1)) )).
% 15.43/15.61 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( combb(__eqx_0, __eqx_1, __eqx_2) = combb(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.43/15.61 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ti(__eqx_0, __eqx_1) = ti(__eqy_0, __eqy_1)) )).
% 15.43/15.61 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( combc(__eqx_0, __eqx_1, __eqx_2) = combc(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.43/15.61 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( combi(__eqx_0) = combi(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( combs(__eqx_0, __eqx_1, __eqx_2) = combs(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.43/15.61 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( finite_card(__eqx_0) = finite_card(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( finite_finite(__eqx_0) = finite_finite(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( minus_minus(__eqx_0) = minus_minus(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( undefined(__eqx_0) = undefined(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( ord_less_eq(__eqx_0) = ord_less_eq(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( collect(__eqx_0) = collect(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image(__eqx_0, __eqx_1) = image(__eqy_0, __eqy_1)) )).
% 15.43/15.61 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( insert(__eqx_0) = insert(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( fequal(__eqx_0) = fequal(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( hAPP(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = hAPP(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 15.43/15.61 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( member(__eqx_0) = member(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 15.43/15.61 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 15.43/15.61 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem3(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem3(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 15.43/15.61 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 15.43/15.61 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem5(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem5(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 15.43/15.61 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 15.43/15.61 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 15.43/15.61 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.43/15.61 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem9(__eqx_0, __eqx_1, __eqx_2) = skolem9(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.43/15.61 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 15.43/15.61 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 15.43/15.61 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 15.43/15.61 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 15.43/15.61 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~preorder(__eqx_0) | preorder(__eqy_0) )).
% 15.43/15.61 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 15.43/15.61 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ~finite_finite_1(__eqx_0) | finite_finite_1(__eqy_0) )).
% 15.43/15.61 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ~order(__eqx_0) | order(__eqy_0) )).
% 15.43/15.61 cnf(matrix-37, plain, ( ( ti(fun(fun(_u2, _u1), fun(fun(_u0, _u2), fun(_u0, _u1))), combb(_u2, _u1, _u0)) = combb(_u2, _u1, _u0)) )).
% 15.43/15.61 cnf(matrix-38, plain, ( ( ti(fun(fun(_u5, fun(_u4, _u3)), fun(_u4, fun(_u5, _u3))), combc(_u5, _u4, _u3)) = combc(_u5, _u4, _u3)) )).
% 15.43/15.61 cnf(matrix-39, plain, ( ( ti(fun(_u6, _u6), combi(_u6)) = combi(_u6)) )).
% 15.43/15.61 cnf(matrix-40, plain, ( ( ti(fun(fun(_u9, fun(_u8, _u7)), fun(fun(_u9, _u8), fun(_u9, _u7))), combs(_u9, _u8, _u7)) = combs(_u9, _u8, _u7)) )).
% 15.43/15.61 cnf(matrix-41, plain, ( ( ti(fun(fun(_u10, bool), nat), finite_card(_u10)) = finite_card(_u10)) )).
% 15.43/15.61 cnf(matrix-42, plain, ( ( ti(fun(fun(_u11, bool), bool), finite_finite(_u11)) = finite_finite(_u11)) )).
% 15.43/15.61 cnf(matrix-43, plain, ( ( ti(fun(nat, fun(nat, nat)), minus_minus(nat)) = minus_minus(nat)) )).
% 15.43/15.61 cnf(matrix-44, plain, ( ( ti(_u12, undefined(_u12)) = undefined(_u12)) )).
% 15.43/15.61 cnf(matrix-45, plain, ( ( ti(fun(nat, nat), suc) = suc) )).
% 15.43/15.61 cnf(matrix-46, plain, ( ~preorder(_u13) | ( ti(fun(_u13, fun(_u13, bool)), ord_less_eq(_u13)) = ord_less_eq(_u13)) )).
% 15.43/15.61 cnf(matrix-47, plain, ( ( ti(fun(fun(_u14, bool), fun(_u14, bool)), collect(_u14)) = collect(_u14)) )).
% 15.43/15.61 cnf(matrix-48, plain, ( ( ti(fun(fun(_u16, _u15), fun(fun(_u16, bool), fun(_u15, bool))), image(_u16, _u15)) = image(_u16, _u15)) )).
% 15.43/15.61 cnf(matrix-49, plain, ( ( ti(fun(_u17, fun(fun(_u17, bool), fun(_u17, bool))), insert(_u17)) = insert(_u17)) )).
% 15.43/15.61 cnf(matrix-50, plain, ( ( ti(fun(bool, bool), fNot) = fNot) )).
% 15.43/15.61 cnf(matrix-51, plain, ( ( ti(fun(bool, fun(bool, bool)), fconj) = fconj) )).
% 15.43/15.61 cnf(matrix-52, plain, ( ( ti(fun(bool, fun(bool, bool)), fdisj) = fdisj) )).
% 15.43/15.61 cnf(matrix-53, plain, ( ( ti(fun(_u18, fun(_u18, bool)), fequal(_u18)) = fequal(_u18)) )).
% 15.43/15.61 cnf(matrix-54, plain, ( ( ti(fun(bool, fun(bool, bool)), fimplies) = fimplies) )).
% 15.43/15.61 cnf(matrix-55, plain, ( ( hAPP(_u22, _u21, ti(fun(_u22, _u21), _u20), _u19) = hAPP(_u22, _u21, _u20, _u19)) )).
% 15.43/15.61 cnf(matrix-56, plain, ( ( hAPP(_u26, _u25, _u24, ti(_u26, _u23)) = hAPP(_u26, _u25, _u24, _u23)) )).
% 15.43/15.61 cnf(matrix-57, plain, ( ( ti(_u30, hAPP(_u29, _u30, _u28, _u27)) = hAPP(_u29, _u30, _u28, _u27)) )).
% 15.43/15.61 cnf(matrix-58, plain, ( ~hBOOL(ti(bool, _u32)) | hBOOL(_u32) )).
% 15.43/15.61 cnf(matrix-59, plain, ( ~hBOOL(_u33) | hBOOL(ti(bool, _u33)) )).
% 15.43/15.61 cnf(matrix-60, plain, ( ( ti(fun(_u34, fun(fun(_u34, bool), bool)), member(_u34)) = member(_u34)) )).
% 15.43/15.61 cnf(matrix-61, plain, ( ( ti(fun(x_a, bool), g) = g) )).
% 15.43/15.61 cnf(matrix-62, plain, ( ( ti(fun(fun(x_a, bool), fun(fun(x_a, bool), bool)), p) = p) )).
% 15.43/15.61 cnf(matrix-63, plain, ( ( ti(fun(pname, bool), u) = u) )).
% 15.43/15.61 cnf(matrix-64, plain, ( ( ti(fun(pname, x_a), mgt_call) = mgt_call) )).
% 15.43/15.61 cnf(matrix-65, plain, ( ( ti(nat, na) = na) )).
% 15.43/15.61 cnf(matrix-66, plain, ( ( ti(pname, pn) = pn) )).
% 15.43/15.61 cnf(matrix-67, plain, ( ~hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), _u36), _u35)) | hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), p, _u35), _u36)) )).
% 15.43/15.61 cnf(matrix-68, plain, ( ~hBOOL(hAPP(fun(_u38, bool), bool, finite_finite(_u38), _u37)) | hBOOL(hAPP(fun(fun(_u38, bool), bool), bool, finite_finite(fun(_u38, bool)), hAPP(fun(fun(_u38, bool), bool), fun(fun(_u38, bool), bool), collect(fun(_u38, bool)), hAPP(fun(_u38, bool), fun(fun(_u38, bool), bool), hAPP(fun(fun(_u38, bool), fun(fun(_u38, bool), bool)), fun(fun(_u38, bool), fun(fun(_u38, bool), bool)), combc(fun(_u38, bool), fun(_u38, bool), bool), ord_less_eq(fun(_u38, bool))), _u37)))) )).
% 15.43/15.61 cnf(matrix-69, plain, ( ~hBOOL(hAPP(fun(_u41, bool), bool, finite_finite(_u41), _u39)) | hBOOL(hAPP(fun(_u42, bool), bool, finite_finite(_u42), hAPP(fun(_u41, bool), fun(_u42, bool), hAPP(fun(_u41, _u42), fun(fun(_u41, bool), fun(_u42, bool)), image(_u41, _u42), _u40), _u39))) )).
% 15.43/15.61 cnf(matrix-70, plain, ( ~hBOOL(hAPP(fun(_u45, bool), bool, finite_finite(_u45), _u43)) | hBOOL(hAPP(fun(_u45, bool), bool, finite_finite(_u45), hAPP(fun(_u45, bool), fun(_u45, bool), hAPP(_u45, fun(fun(_u45, bool), fun(_u45, bool)), insert(_u45), _u44), _u43))) )).
% 15.43/15.61 cnf(matrix-71, plain, ( ~hBOOL(hAPP(fun(_u48, bool), bool, finite_finite(_u48), _u46)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(fun(_u49, bool), nat, finite_card(_u49), hAPP(fun(_u48, bool), fun(_u49, bool), hAPP(fun(_u48, _u49), fun(fun(_u48, bool), fun(_u49, bool)), image(_u48, _u49), _u47), _u46))), hAPP(fun(_u48, bool), nat, finite_card(_u48), _u46))) )).
% 15.43/15.61 cnf(matrix-72, plain, ( ~hBOOL(hAPP(fun(_u52, bool), bool, finite_finite(_u52), _u50)) | ~hBOOL(hAPP(fun(_u52, bool), bool, hAPP(fun(_u52, bool), fun(fun(_u52, bool), bool), ord_less_eq(fun(_u52, bool)), _u51), _u50)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(fun(_u52, bool), nat, finite_card(_u52), _u51)), hAPP(fun(_u52, bool), nat, finite_card(_u52), _u50))) )).
% 15.43/15.61 cnf(matrix-73, plain, ( ~hBOOL(hAPP(fun(_u55, bool), bool, finite_finite(_u55), _u53)) | ~hBOOL(hAPP(fun(_u55, bool), bool, hAPP(fun(_u55, bool), fun(fun(_u55, bool), bool), ord_less_eq(fun(_u55, bool)), _u54), _u53)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(fun(_u55, bool), nat, finite_card(_u55), _u53)), hAPP(fun(_u55, bool), nat, finite_card(_u55), _u54))) | ( ti(fun(_u55, bool), _u54) = ti(fun(_u55, bool), _u53)) )).
% 15.43/15.61 cnf(matrix-74, plain, ( ~hBOOL(hAPP(fun(_u58, bool), bool, finite_finite(_u58), _u56)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(fun(_u58, bool), nat, finite_card(_u58), _u56)), hAPP(fun(_u58, bool), nat, finite_card(_u58), hAPP(fun(_u58, bool), fun(_u58, bool), hAPP(_u58, fun(fun(_u58, bool), fun(_u58, bool)), insert(_u58), _u57), _u56)))) )).
% 15.43/15.61 cnf(matrix-75, plain, ( ~hBOOL(hAPP(fun(_u61, bool), bool, finite_finite(_u61), _u59)) | ~hBOOL(hAPP(fun(_u61, bool), bool, hAPP(_u61, fun(fun(_u61, bool), bool), member(_u61), _u60), _u59)) | ( hAPP(fun(_u61, bool), nat, finite_card(_u61), hAPP(fun(_u61, bool), fun(_u61, bool), hAPP(_u61, fun(fun(_u61, bool), fun(_u61, bool)), insert(_u61), _u60), _u59)) = hAPP(fun(_u61, bool), nat, finite_card(_u61), _u59)) )).
% 15.43/15.61 cnf(matrix-76, plain, ( ~hBOOL(hAPP(fun(_u61, bool), bool, finite_finite(_u61), _u59)) | hBOOL(hAPP(fun(_u61, bool), bool, hAPP(_u61, fun(fun(_u61, bool), bool), member(_u61), _u60), _u59)) | ( hAPP(fun(_u61, bool), nat, finite_card(_u61), hAPP(fun(_u61, bool), fun(_u61, bool), hAPP(_u61, fun(fun(_u61, bool), fun(_u61, bool)), insert(_u61), _u60), _u59)) = hAPP(nat, nat, suc, hAPP(fun(_u61, bool), nat, finite_card(_u61), _u59))) )).
% 15.43/15.61 cnf(matrix-77, plain, ( ~hBOOL(hAPP(fun(_u64, bool), bool, finite_finite(_u64), _u62)) | hBOOL(hAPP(fun(_u64, bool), bool, hAPP(_u64, fun(fun(_u64, bool), bool), member(_u64), _u63), _u62)) | ( hAPP(fun(_u64, bool), nat, finite_card(_u64), hAPP(fun(_u64, bool), fun(_u64, bool), hAPP(_u64, fun(fun(_u64, bool), fun(_u64, bool)), insert(_u64), _u63), _u62)) = hAPP(nat, nat, suc, hAPP(fun(_u64, bool), nat, finite_card(_u64), _u62))) )).
% 15.43/15.61 cnf(matrix-78, plain, ( hBOOL(hAPP(fun(_u67, bool), bool, finite_finite(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), collect(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), hAPP(fun(_u67, fun(bool, bool)), fun(fun(_u67, bool), fun(_u67, bool)), combs(_u67, bool, bool), hAPP(fun(_u67, bool), fun(_u67, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u67, bool), fun(_u67, fun(bool, bool))), combb(bool, fun(bool, bool), _u67), fconj), _u65)), _u66)))) | ~hBOOL(hAPP(fun(_u67, bool), bool, finite_finite(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), collect(_u67), _u65))) )).
% 15.43/15.61 cnf(matrix-79, plain, ( hBOOL(hAPP(fun(_u67, bool), bool, finite_finite(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), collect(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), hAPP(fun(_u67, fun(bool, bool)), fun(fun(_u67, bool), fun(_u67, bool)), combs(_u67, bool, bool), hAPP(fun(_u67, bool), fun(_u67, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u67, bool), fun(_u67, fun(bool, bool))), combb(bool, fun(bool, bool), _u67), fconj), _u65)), _u66)))) | ~hBOOL(hAPP(fun(_u67, bool), bool, finite_finite(_u67), hAPP(fun(_u67, bool), fun(_u67, bool), collect(_u67), _u66))) )).
% 15.43/15.61 cnf(matrix-80, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u69), _u68)) | ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, suc, _u68)), _u69) = hAPP(nat, nat, suc, hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u68), _u69))) )).
% 15.43/15.61 cnf(matrix-81, plain, ( hBOOL(hAPP(fun(nat, bool), bool, finite_finite(nat), hAPP(fun(nat, bool), fun(nat, bool), collect(nat), hAPP(nat, fun(nat, bool), hAPP(fun(nat, fun(nat, bool)), fun(nat, fun(nat, bool)), combc(nat, nat, bool), ord_less_eq(nat)), _u70)))) )).
% 15.43/15.61 cnf(matrix-82, plain, ( ( hAPP(fun(nat, bool), nat, finite_card(nat), hAPP(fun(nat, bool), fun(nat, bool), collect(nat), hAPP(nat, fun(nat, bool), hAPP(fun(nat, fun(nat, bool)), fun(nat, fun(nat, bool)), combc(nat, nat, bool), ord_less_eq(nat)), _u71))) = hAPP(nat, nat, suc, _u71)) )).
% 15.43/15.61 cnf(matrix-83, plain, ( ~finite_finite_1(_u73) | hBOOL(hAPP(fun(_u73, bool), bool, finite_finite(_u73), _u72)) )).
% 15.43/15.61 cnf(matrix-84, plain, ( ~finite_finite_1(_u75) | hBOOL(hAPP(fun(_u75, bool), bool, finite_finite(_u75), _u74)) )).
% 15.43/15.61 cnf(matrix-85, plain, ( ( hAPP(nat, nat, suc, _u77) != hAPP(nat, nat, suc, _u76)) | ( _u77 = _u76) )).
% 15.43/15.61 cnf(matrix-86, plain, ( ( hAPP(nat, nat, suc, _u82) != hAPP(nat, nat, suc, _u80)) | ( _u82 = _u80) )).
% 15.43/15.61 cnf(matrix-87, plain, ( ( _u83 != _u81) | ( hAPP(nat, nat, suc, _u83) = hAPP(nat, nat, suc, _u81)) )).
% 15.43/15.61 cnf(matrix-88, plain, ( ( hAPP(nat, nat, suc, _u84) != _u84) )).
% 15.43/15.61 cnf(matrix-89, plain, ( ( _u85 != hAPP(nat, nat, suc, _u85)) )).
% 15.43/15.61 cnf(matrix-90, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u87), _u86)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u86), _u87)) | ( _u87 = _u86) )).
% 15.43/15.61 cnf(matrix-91, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u89), _u88)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u88), _u90)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u89), _u90)) )).
% 15.43/15.61 cnf(matrix-92, plain, ( ( _u92 != _u91) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u92), _u91)) )).
% 15.43/15.61 cnf(matrix-93, plain, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u94), _u93)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u93), _u94)) )).
% 15.43/15.61 cnf(matrix-94, plain, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u95), _u95)) )).
% 15.43/15.61 cnf(matrix-95, plain, ( ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u98), _u97)), _u96) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u98), _u96)), _u97)) )).
% 15.43/15.61 cnf(matrix-96, plain, ( ~hBOOL(hAPP(fun(_u106, bool), bool, finite_finite(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), collect(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), hAPP(fun(_u106, fun(bool, bool)), fun(fun(_u106, bool), fun(_u106, bool)), combs(_u106, bool, bool), hAPP(fun(_u106, bool), fun(_u106, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u106, bool), fun(_u106, fun(bool, bool))), combb(bool, fun(bool, bool), _u106), fdisj), _u104)), _u102)))) | hBOOL(hAPP(fun(_u106, bool), bool, finite_finite(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), collect(_u106), _u104))) )).
% 15.43/15.61 cnf(matrix-97, plain, ( ~hBOOL(hAPP(fun(_u106, bool), bool, finite_finite(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), collect(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), hAPP(fun(_u106, fun(bool, bool)), fun(fun(_u106, bool), fun(_u106, bool)), combs(_u106, bool, bool), hAPP(fun(_u106, bool), fun(_u106, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u106, bool), fun(_u106, fun(bool, bool))), combb(bool, fun(bool, bool), _u106), fdisj), _u104)), _u102)))) | hBOOL(hAPP(fun(_u106, bool), bool, finite_finite(_u106), hAPP(fun(_u106, bool), fun(_u106, bool), collect(_u106), _u102))) )).
% 15.43/15.61 cnf(matrix-98, plain, ( ~hBOOL(hAPP(fun(_u107, bool), bool, finite_finite(_u107), hAPP(fun(_u107, bool), fun(_u107, bool), collect(_u107), _u105))) | ~hBOOL(hAPP(fun(_u107, bool), bool, finite_finite(_u107), hAPP(fun(_u107, bool), fun(_u107, bool), collect(_u107), _u103))) | hBOOL(hAPP(fun(_u107, bool), bool, finite_finite(_u107), hAPP(fun(_u107, bool), fun(_u107, bool), collect(_u107), hAPP(fun(_u107, bool), fun(_u107, bool), hAPP(fun(_u107, fun(bool, bool)), fun(fun(_u107, bool), fun(_u107, bool)), combs(_u107, bool, bool), hAPP(fun(_u107, bool), fun(_u107, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u107, bool), fun(_u107, fun(bool, bool))), combb(bool, fun(bool, bool), _u107), fdisj), _u105)), _u103)))) )).
% 15.43/15.61 cnf(matrix-99, plain, ( ~hBOOL(hAPP(fun(_u115, bool), bool, finite_finite(_u115), hAPP(fun(_u115, bool), fun(_u115, bool), hAPP(_u115, fun(fun(_u115, bool), fun(_u115, bool)), insert(_u115), _u113), _u111))) | hBOOL(hAPP(fun(_u115, bool), bool, finite_finite(_u115), _u111)) )).
% 15.43/15.61 cnf(matrix-100, plain, ( ~hBOOL(hAPP(fun(_u116, bool), bool, finite_finite(_u116), _u112)) | hBOOL(hAPP(fun(_u116, bool), bool, finite_finite(_u116), hAPP(fun(_u116, bool), fun(_u116, bool), hAPP(_u116, fun(fun(_u116, bool), fun(_u116, bool)), insert(_u116), _u114), _u112))) )).
% 15.43/15.61 cnf(matrix-101, plain, ( ~hBOOL(hAPP(fun(_u119, bool), bool, hAPP(fun(_u119, bool), fun(fun(_u119, bool), bool), ord_less_eq(fun(_u119, bool)), _u118), _u117)) | ~hBOOL(hAPP(fun(_u119, bool), bool, finite_finite(_u119), _u117)) | hBOOL(hAPP(fun(_u119, bool), bool, finite_finite(_u119), _u118)) )).
% 15.43/15.61 cnf(matrix-102, plain, ( ~hBOOL(hAPP(fun(_u122, bool), bool, finite_finite(_u122), _u120)) | ~hBOOL(hAPP(fun(_u122, bool), bool, hAPP(fun(_u122, bool), fun(fun(_u122, bool), bool), ord_less_eq(fun(_u122, bool)), _u121), _u120)) | hBOOL(hAPP(fun(_u122, bool), bool, finite_finite(_u122), _u121)) )).
% 15.43/15.61 cnf(matrix-103, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u124)), _u123)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u124), _u123)) )).
% 15.43/15.61 cnf(matrix-104, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u126), hAPP(nat, nat, suc, _u125))) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u126), _u125)) | ( _u126 = hAPP(nat, nat, suc, _u125)) )).
% 15.43/15.61 cnf(matrix-105, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u128), _u127)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u128), hAPP(nat, nat, suc, _u127))) )).
% 15.43/15.61 cnf(matrix-106, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u133)), hAPP(nat, nat, suc, _u131))) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u133), _u131)) )).
% 15.43/15.61 cnf(matrix-107, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u134), _u132)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u134)), hAPP(nat, nat, suc, _u132))) )).
% 15.43/15.61 cnf(matrix-108, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u139), hAPP(nat, nat, suc, _u137))) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u139), _u137)) | ( _u139 = hAPP(nat, nat, suc, _u137)) )).
% 15.43/15.61 cnf(matrix-109, plain, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u140), hAPP(nat, nat, suc, _u138))) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u140), _u138)) )).
% 15.43/15.61 cnf(matrix-110, plain, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u140), hAPP(nat, nat, suc, _u138))) | ( _u140 != hAPP(nat, nat, suc, _u138)) )).
% 15.43/15.61 cnf(matrix-111, plain, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u145), _u143)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u143)), _u145)) )).
% 15.43/15.61 cnf(matrix-112, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u144)), _u146)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u146), _u144)) )).
% 15.43/15.61 cnf(matrix-113, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u147)), _u147)) )).
% 15.43/15.61 cnf(matrix-114, plain, ( ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, suc, _u150)), _u149)), hAPP(nat, nat, suc, _u148)) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u150), _u149)), _u148)) )).
% 15.43/15.61 cnf(matrix-115, plain, ( ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, suc, _u152)), hAPP(nat, nat, suc, _u151)) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u152), _u151)) )).
% 15.43/15.61 cnf(matrix-116, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u154), _u153)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u154), _u155)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u153), _u154)), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u155), _u154))) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u153), _u155)) )).
% 15.43/15.61 cnf(matrix-117, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u154), _u153)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u154), _u155)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u153), _u155)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u153), _u154)), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u155), _u154))) )).
% 15.43/15.61 cnf(matrix-118, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u157), _u156)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u157), _u158)) | ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u156), _u157)), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u158), _u157)) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u156), _u158)) )).
% 15.43/15.61 cnf(matrix-119, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u160), _u159)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u160), _u161)) | ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u159), _u160) != hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u161), _u160)) | ( _u159 = _u161) )).
% 15.43/15.61 cnf(matrix-120, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u160), _u159)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u160), _u161)) | ( _u159 != _u161) | ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u159), _u160) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u161), _u160)) )).
% 15.43/15.61 cnf(matrix-121, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u163), _u162)) | ( hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u162), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u162), _u163)) = _u163) )).
% 15.43/15.61 cnf(matrix-122, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u165), _u164)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u165), _u166)), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u164), _u166))) )).
% 15.43/15.61 cnf(matrix-123, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u168), _u167)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u169), _u167)), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u169), _u168))) )).
% 15.43/15.61 cnf(matrix-124, plain, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u171), _u170)), _u171)) )).
% 15.43/15.61 cnf(matrix-125, plain, ( ~hBOOL(hAPP(fun(_u175, bool), bool, finite_finite(_u175), _u172)) | ~hBOOL(hAPP(fun(_u176, bool), bool, hAPP(fun(_u176, bool), fun(fun(_u176, bool), bool), ord_less_eq(fun(_u176, bool)), _u174), hAPP(fun(_u175, bool), fun(_u176, bool), hAPP(fun(_u175, _u176), fun(fun(_u175, bool), fun(_u176, bool)), image(_u175, _u176), _u173), _u172))) | hBOOL(hAPP(fun(_u176, bool), bool, finite_finite(_u176), _u174)) )).
% 15.43/15.61 cnf(matrix-126, plain, ( ~hBOOL(hAPP(fun(_u181, bool), bool, finite_finite(_u181), _u178)) | ~hBOOL(hAPP(fun(_u181, bool), bool, hAPP(fun(_u181, bool), fun(fun(_u181, bool), bool), ord_less_eq(fun(_u181, bool)), _u178), hAPP(fun(_u182, bool), fun(_u181, bool), hAPP(fun(_u182, _u181), fun(fun(_u182, bool), fun(_u181, bool)), image(_u182, _u181), _u180), _u179))) | hBOOL(hAPP(fun(_u182, bool), bool, hAPP(fun(_u182, bool), fun(fun(_u182, bool), bool), ord_less_eq(fun(_u182, bool)), skolem1(_u182, _u181, _u180, _u179, _u178)), _u179)) )).
% 15.43/15.61 cnf(matrix-127, plain, ( ~hBOOL(hAPP(fun(_u181, bool), bool, finite_finite(_u181), _u178)) | ~hBOOL(hAPP(fun(_u181, bool), bool, hAPP(fun(_u181, bool), fun(fun(_u181, bool), bool), ord_less_eq(fun(_u181, bool)), _u178), hAPP(fun(_u182, bool), fun(_u181, bool), hAPP(fun(_u182, _u181), fun(fun(_u182, bool), fun(_u181, bool)), image(_u182, _u181), _u180), _u179))) | hBOOL(hAPP(fun(_u182, bool), bool, finite_finite(_u182), skolem1(_u182, _u181, _u180, _u179, _u178))) )).
% 15.43/15.61 cnf(matrix-128, plain, ( ~hBOOL(hAPP(fun(_u181, bool), bool, finite_finite(_u181), _u178)) | ~hBOOL(hAPP(fun(_u181, bool), bool, hAPP(fun(_u181, bool), fun(fun(_u181, bool), bool), ord_less_eq(fun(_u181, bool)), _u178), hAPP(fun(_u182, bool), fun(_u181, bool), hAPP(fun(_u182, _u181), fun(fun(_u182, bool), fun(_u181, bool)), image(_u182, _u181), _u180), _u179))) | ( ti(fun(_u181, bool), _u178) = hAPP(fun(_u182, bool), fun(_u181, bool), hAPP(fun(_u182, _u181), fun(fun(_u182, bool), fun(_u181, bool)), image(_u182, _u181), _u180), skolem1(_u182, _u181, _u180, _u179, _u178))) )).
% 15.43/15.61 cnf(matrix-129, plain, ( ~order(_u187) | ~hBOOL(hAPP(_u187, bool, hAPP(_u187, fun(_u187, bool), ord_less_eq(_u187), hAPP(nat, _u187, _u184, skolem2(_u187, _u186, _u185, _u184))), hAPP(nat, _u187, _u184, hAPP(nat, nat, suc, skolem2(_u187, _u186, _u185, _u184))))) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u186), _u185)) | hBOOL(hAPP(_u187, bool, hAPP(_u187, fun(_u187, bool), ord_less_eq(_u187), hAPP(nat, _u187, _u184, _u186)), hAPP(nat, _u187, _u184, _u185))) )).
% 15.43/15.61 cnf(matrix-130, plain, ( hBOOL(hAPP(fun(_u191, bool), bool, finite_finite(_u191), _u189)) | ~hBOOL(hAPP(fun(_u192, bool), bool, finite_finite(_u192), hAPP(fun(_u191, bool), fun(_u192, bool), hAPP(fun(_u191, _u192), fun(fun(_u191, bool), fun(_u192, bool)), image(_u191, _u192), _u190), _u189))) | hBOOL(hAPP(fun(_u191, bool), bool, hAPP(_u191, fun(fun(_u191, bool), bool), member(_u191), skolem3(_u192, _u191, _u190, _u189)), _u189)) )).
% 15.43/15.61 cnf(matrix-131, plain, ( hBOOL(hAPP(fun(_u191, bool), bool, finite_finite(_u191), _u189)) | ~hBOOL(hAPP(fun(_u192, bool), bool, finite_finite(_u192), hAPP(fun(_u191, bool), fun(_u192, bool), hAPP(fun(_u191, _u192), fun(fun(_u191, bool), fun(_u192, bool)), image(_u191, _u192), _u190), _u189))) | ~hBOOL(hAPP(fun(_u191, bool), bool, finite_finite(_u191), hAPP(fun(_u191, bool), fun(_u191, bool), collect(_u191), hAPP(fun(_u191, bool), fun(_u191, bool), hAPP(fun(_u191, fun(bool, bool)), fun(fun(_u191, bool), fun(_u191, bool)), combs(_u191, bool, bool), hAPP(fun(_u191, bool), fun(_u191, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u191, bool), fun(_u191, fun(bool, bool))), combb(bool, fun(bool, bool), _u191), fconj), hAPP(fun(_u191, bool), fun(_u191, bool), hAPP(fun(_u191, fun(fun(_u191, bool), bool)), fun(fun(_u191, bool), fun(_u191, bool)), combc(_u191, fun(_u191, bool), bool), member(_u191)), _u189))), hAPP(_u192, fun(_u191, bool), hAPP(fun(_u191, fun(_u192, bool)), fun(_u192, fun(_u191, bool)), combc(_u191, _u192, bool), hAPP(fun(_u191, _u192), fun(_u191, fun(_u192, bool)), hAPP(fun(_u192, fun(_u192, bool)), fun(fun(_u191, _u192), fun(_u191, fun(_u192, bool))), combb(_u192, fun(_u192, bool), _u191), fequal(_u192)), _u190)), hAPP(_u191, _u192, _u190, skolem3(_u192, _u191, _u190, _u189))))))) )).
% 15.43/15.61 cnf(matrix-132, plain, ( ( ti(_u198, _u195) != hAPP(_u197, _u198, _u194, _u193)) | ~hBOOL(hAPP(fun(_u197, bool), bool, hAPP(_u197, fun(fun(_u197, bool), bool), member(_u197), _u193), _u196)) | hBOOL(hAPP(fun(_u198, bool), bool, hAPP(_u198, fun(fun(_u198, bool), bool), member(_u198), _u195), hAPP(fun(_u197, bool), fun(_u198, bool), hAPP(fun(_u197, _u198), fun(fun(_u197, bool), fun(_u198, bool)), image(_u197, _u198), _u194), _u196))) )).
% 15.43/15.61 cnf(matrix-133, plain, ( ~hBOOL(hAPP(fun(_u201, bool), bool, hAPP(fun(_u201, bool), fun(fun(_u201, bool), bool), ord_less_eq(fun(_u201, bool)), _u200), _u199)) | ~hBOOL(hAPP(fun(_u201, bool), bool, hAPP(fun(_u201, bool), fun(fun(_u201, bool), bool), ord_less_eq(fun(_u201, bool)), _u199), _u200)) | ( ti(fun(_u201, bool), _u200) = ti(fun(_u201, bool), _u199)) )).
% 15.43/15.61 cnf(matrix-134, plain, ( ~hBOOL(hAPP(fun(_u205, bool), bool, hAPP(fun(_u205, bool), fun(fun(_u205, bool), bool), ord_less_eq(fun(_u205, bool)), _u203), _u202)) | ~hBOOL(hAPP(fun(_u205, bool), bool, hAPP(_u205, fun(fun(_u205, bool), bool), member(_u205), _u204), _u203)) | hBOOL(hAPP(fun(_u205, bool), bool, hAPP(_u205, fun(fun(_u205, bool), bool), member(_u205), _u204), _u202)) )).
% 15.43/15.61 cnf(matrix-135, plain, ( hBOOL(hAPP(fun(_u209, bool), bool, hAPP(_u209, fun(fun(_u209, bool), bool), member(_u209), _u207), hAPP(fun(_u209, bool), fun(_u209, bool), hAPP(_u209, fun(fun(_u209, bool), fun(_u209, bool)), insert(_u209), _u208), _u206))) | ~hBOOL(hAPP(fun(_u209, bool), bool, hAPP(_u209, fun(fun(_u209, bool), bool), member(_u209), _u207), _u206)) )).
% 15.43/15.61 cnf(matrix-136, plain, ( hBOOL(hAPP(fun(_u209, bool), bool, hAPP(_u209, fun(fun(_u209, bool), bool), member(_u209), _u207), hAPP(fun(_u209, bool), fun(_u209, bool), hAPP(_u209, fun(fun(_u209, bool), fun(_u209, bool)), insert(_u209), _u208), _u206))) | ( ti(_u209, _u207) != ti(_u209, _u208)) )).
% 15.43/15.61 cnf(matrix-137, plain, ( ~hBOOL(hAPP(fun(_u213, bool), bool, hAPP(_u213, fun(fun(_u213, bool), bool), member(_u213), _u212), hAPP(fun(_u213, bool), fun(_u213, bool), hAPP(_u213, fun(fun(_u213, bool), fun(_u213, bool)), insert(_u213), _u211), _u210))) | ( ti(_u213, _u212) = ti(_u213, _u211)) | hBOOL(hAPP(fun(_u213, bool), bool, hAPP(_u213, fun(fun(_u213, bool), bool), member(_u213), _u212), _u210)) )).
% 15.43/15.61 cnf(matrix-138, plain, ( hBOOL(hAPP(fun(_u216, bool), bool, hAPP(_u216, fun(fun(_u216, bool), bool), member(_u216), _u215), hAPP(fun(_u216, bool), fun(_u216, bool), hAPP(_u216, fun(fun(_u216, bool), fun(_u216, bool)), insert(_u216), _u215), _u214))) )).
% 15.43/15.61 cnf(matrix-139, plain, ( ( hAPP(fun(_u219, bool), fun(_u219, bool), hAPP(_u219, fun(fun(_u219, bool), fun(_u219, bool)), insert(_u219), _u218), _u217) = hAPP(fun(_u219, bool), fun(_u219, bool), collect(_u219), hAPP(fun(_u219, bool), fun(_u219, bool), hAPP(fun(_u219, fun(bool, bool)), fun(fun(_u219, bool), fun(_u219, bool)), combs(_u219, bool, bool), hAPP(fun(_u219, bool), fun(_u219, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u219, bool), fun(_u219, fun(bool, bool))), combb(bool, fun(bool, bool), _u219), fdisj), hAPP(_u219, fun(_u219, bool), hAPP(fun(_u219, fun(_u219, bool)), fun(_u219, fun(_u219, bool)), combc(_u219, _u219, bool), fequal(_u219)), _u218))), hAPP(fun(_u219, bool), fun(_u219, bool), hAPP(fun(_u219, fun(fun(_u219, bool), bool)), fun(fun(_u219, bool), fun(_u219, bool)), combc(_u219, fun(_u219, bool), bool), member(_u219)), _u217)))) )).
% 15.43/15.61 cnf(matrix-140, plain, ( ( hAPP(fun(_u222, bool), fun(_u222, bool), hAPP(_u222, fun(fun(_u222, bool), fun(_u222, bool)), insert(_u222), _u221), hAPP(fun(_u222, bool), fun(_u222, bool), collect(_u222), _u220)) = hAPP(fun(_u222, bool), fun(_u222, bool), collect(_u222), hAPP(fun(_u222, bool), fun(_u222, bool), hAPP(fun(_u222, fun(bool, bool)), fun(fun(_u222, bool), fun(_u222, bool)), combs(_u222, bool, bool), hAPP(fun(_u222, bool), fun(_u222, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u222, bool), fun(_u222, fun(bool, bool))), combb(bool, fun(bool, bool), _u222), fimplies), hAPP(fun(_u222, bool), fun(_u222, bool), hAPP(fun(bool, bool), fun(fun(_u222, bool), fun(_u222, bool)), combb(bool, bool, _u222), fNot), hAPP(_u222, fun(_u222, bool), hAPP(fun(_u222, fun(_u222, bool)), fun(_u222, fun(_u222, bool)), combc(_u222, _u222, bool), fequal(_u222)), _u221)))), _u220))) )).
% 15.43/15.61 cnf(matrix-141, plain, ( ( hAPP(fun(_u225, bool), fun(_u225, bool), hAPP(_u225, fun(fun(_u225, bool), fun(_u225, bool)), insert(_u225), _u224), hAPP(fun(_u225, bool), fun(_u225, bool), hAPP(_u225, fun(fun(_u225, bool), fun(_u225, bool)), insert(_u225), _u224), _u223)) = hAPP(fun(_u225, bool), fun(_u225, bool), hAPP(_u225, fun(fun(_u225, bool), fun(_u225, bool)), insert(_u225), _u224), _u223)) )).
% 15.43/15.61 cnf(matrix-142, plain, ( ( hAPP(fun(_u229, bool), fun(_u229, bool), hAPP(_u229, fun(fun(_u229, bool), fun(_u229, bool)), insert(_u229), _u228), hAPP(fun(_u229, bool), fun(_u229, bool), hAPP(_u229, fun(fun(_u229, bool), fun(_u229, bool)), insert(_u229), _u227), _u226)) = hAPP(fun(_u229, bool), fun(_u229, bool), hAPP(_u229, fun(fun(_u229, bool), fun(_u229, bool)), insert(_u229), _u227), hAPP(fun(_u229, bool), fun(_u229, bool), hAPP(_u229, fun(fun(_u229, bool), fun(_u229, bool)), insert(_u229), _u228), _u226))) )).
% 15.43/15.61 cnf(matrix-143, plain, ( ~hBOOL(hAPP(fun(_u240, bool), bool, hAPP(_u240, fun(fun(_u240, bool), bool), member(_u240), _u238), hAPP(fun(_u240, bool), fun(_u240, bool), hAPP(_u240, fun(fun(_u240, bool), fun(_u240, bool)), insert(_u240), _u236), _u234))) | ( ti(_u240, _u238) = ti(_u240, _u236)) | hBOOL(hAPP(fun(_u240, bool), bool, hAPP(_u240, fun(fun(_u240, bool), bool), member(_u240), _u238), _u234)) )).
% 15.43/15.61 cnf(matrix-144, plain, ( hBOOL(hAPP(fun(_u241, bool), bool, hAPP(_u241, fun(fun(_u241, bool), bool), member(_u241), _u239), hAPP(fun(_u241, bool), fun(_u241, bool), hAPP(_u241, fun(fun(_u241, bool), fun(_u241, bool)), insert(_u241), _u237), _u235))) | ( ti(_u241, _u239) != ti(_u241, _u237)) )).
% 15.43/15.61 cnf(matrix-145, plain, ( hBOOL(hAPP(fun(_u241, bool), bool, hAPP(_u241, fun(fun(_u241, bool), bool), member(_u241), _u239), hAPP(fun(_u241, bool), fun(_u241, bool), hAPP(_u241, fun(fun(_u241, bool), fun(_u241, bool)), insert(_u241), _u237), _u235))) | ~hBOOL(hAPP(fun(_u241, bool), bool, hAPP(_u241, fun(fun(_u241, bool), bool), member(_u241), _u239), _u235)) )).
% 15.43/15.61 cnf(matrix-146, plain, ( ~hBOOL(hAPP(_u252, bool, hAPP(fun(_u252, bool), fun(_u252, bool), hAPP(_u252, fun(fun(_u252, bool), fun(_u252, bool)), insert(_u252), _u250), _u248), _u246)) | ( ti(_u252, _u250) = ti(_u252, _u246)) | hBOOL(hAPP(_u252, bool, _u248, _u246)) )).
% 15.43/15.61 cnf(matrix-147, plain, ( hBOOL(hAPP(_u253, bool, hAPP(fun(_u253, bool), fun(_u253, bool), hAPP(_u253, fun(fun(_u253, bool), fun(_u253, bool)), insert(_u253), _u251), _u249), _u247)) | ( ti(_u253, _u251) != ti(_u253, _u247)) )).
% 15.43/15.61 cnf(matrix-148, plain, ( hBOOL(hAPP(_u253, bool, hAPP(fun(_u253, bool), fun(_u253, bool), hAPP(_u253, fun(fun(_u253, bool), fun(_u253, bool)), insert(_u253), _u251), _u249), _u247)) | ~hBOOL(hAPP(_u253, bool, _u249, _u247)) )).
% 15.43/15.61 cnf(matrix-149, plain, ( hBOOL(hAPP(fun(_u257, bool), bool, hAPP(_u257, fun(fun(_u257, bool), bool), member(_u257), _u255), _u254)) | hBOOL(hAPP(fun(_u257, bool), bool, hAPP(_u257, fun(fun(_u257, bool), bool), member(_u257), _u255), _u256)) | ( hAPP(fun(_u257, bool), fun(_u257, bool), hAPP(_u257, fun(fun(_u257, bool), fun(_u257, bool)), insert(_u257), _u255), _u254) != hAPP(fun(_u257, bool), fun(_u257, bool), hAPP(_u257, fun(fun(_u257, bool), fun(_u257, bool)), insert(_u257), _u255), _u256)) | ( ti(fun(_u257, bool), _u254) = ti(fun(_u257, bool), _u256)) )).
% 15.43/15.61 cnf(matrix-150, plain, ( hBOOL(hAPP(fun(_u257, bool), bool, hAPP(_u257, fun(fun(_u257, bool), bool), member(_u257), _u255), _u254)) | hBOOL(hAPP(fun(_u257, bool), bool, hAPP(_u257, fun(fun(_u257, bool), bool), member(_u257), _u255), _u256)) | ( ti(fun(_u257, bool), _u254) != ti(fun(_u257, bool), _u256)) | ( hAPP(fun(_u257, bool), fun(_u257, bool), hAPP(_u257, fun(fun(_u257, bool), fun(_u257, bool)), insert(_u257), _u255), _u254) = hAPP(fun(_u257, bool), fun(_u257, bool), hAPP(_u257, fun(fun(_u257, bool), fun(_u257, bool)), insert(_u257), _u255), _u256)) )).
% 15.43/15.61 cnf(matrix-151, plain, ( ~hBOOL(hAPP(fun(_u261, bool), bool, hAPP(_u261, fun(fun(_u261, bool), bool), member(_u261), _u259), _u258)) | hBOOL(hAPP(fun(_u261, bool), bool, hAPP(_u261, fun(fun(_u261, bool), bool), member(_u261), _u259), hAPP(fun(_u261, bool), fun(_u261, bool), hAPP(_u261, fun(fun(_u261, bool), fun(_u261, bool)), insert(_u261), _u260), _u258))) )).
% 15.43/15.61 cnf(matrix-152, plain, ( ~hBOOL(hAPP(fun(_u264, bool), bool, hAPP(_u264, fun(fun(_u264, bool), bool), member(_u264), _u263), _u262)) | ( hAPP(fun(_u264, bool), fun(_u264, bool), hAPP(_u264, fun(fun(_u264, bool), fun(_u264, bool)), insert(_u264), _u263), _u262) = ti(fun(_u264, bool), _u262)) )).
% 15.43/15.61 cnf(matrix-153, plain, ( hBOOL(hAPP(fun(_u266, bool), bool, hAPP(fun(_u266, bool), fun(fun(_u266, bool), bool), ord_less_eq(fun(_u266, bool)), _u265), _u265)) )).
% 15.43/15.61 cnf(matrix-154, plain, ( ( ti(fun(_u274, bool), _u272) != ti(fun(_u274, bool), _u270)) | hBOOL(hAPP(fun(_u274, bool), bool, hAPP(fun(_u274, bool), fun(fun(_u274, bool), bool), ord_less_eq(fun(_u274, bool)), _u272), _u270)) )).
% 15.43/15.61 cnf(matrix-155, plain, ( ( ti(fun(_u274, bool), _u272) != ti(fun(_u274, bool), _u270)) | hBOOL(hAPP(fun(_u274, bool), bool, hAPP(fun(_u274, bool), fun(fun(_u274, bool), bool), ord_less_eq(fun(_u274, bool)), _u270), _u272)) )).
% 15.43/15.61 cnf(matrix-156, plain, ( ~hBOOL(hAPP(fun(_u275, bool), bool, hAPP(fun(_u275, bool), fun(fun(_u275, bool), bool), ord_less_eq(fun(_u275, bool)), _u273), _u271)) | ~hBOOL(hAPP(fun(_u275, bool), bool, hAPP(fun(_u275, bool), fun(fun(_u275, bool), bool), ord_less_eq(fun(_u275, bool)), _u271), _u273)) | ( ti(fun(_u275, bool), _u273) = ti(fun(_u275, bool), _u271)) )).
% 15.43/15.61 cnf(matrix-157, plain, ( ( ti(fun(_u278, bool), _u277) != ti(fun(_u278, bool), _u276)) | hBOOL(hAPP(fun(_u278, bool), bool, hAPP(fun(_u278, bool), fun(fun(_u278, bool), bool), ord_less_eq(fun(_u278, bool)), _u277), _u276)) )).
% 15.43/15.61 cnf(matrix-158, plain, ( ( ti(fun(_u281, bool), _u280) != ti(fun(_u281, bool), _u279)) | hBOOL(hAPP(fun(_u281, bool), bool, hAPP(fun(_u281, bool), fun(fun(_u281, bool), bool), ord_less_eq(fun(_u281, bool)), _u279), _u280)) )).
% 15.43/15.61 cnf(matrix-159, plain, ( ~hBOOL(hAPP(fun(_u285, bool), bool, hAPP(fun(_u285, bool), fun(fun(_u285, bool), bool), ord_less_eq(fun(_u285, bool)), _u283), _u282)) | ~hBOOL(hAPP(fun(_u285, bool), bool, hAPP(_u285, fun(fun(_u285, bool), bool), member(_u285), _u284), _u283)) | hBOOL(hAPP(fun(_u285, bool), bool, hAPP(_u285, fun(fun(_u285, bool), bool), member(_u285), _u284), _u282)) )).
% 15.43/15.61 cnf(matrix-160, plain, ( ~hBOOL(hAPP(fun(_u289, bool), bool, hAPP(_u289, fun(fun(_u289, bool), bool), member(_u289), _u287), _u286)) | ~hBOOL(hAPP(fun(_u289, bool), bool, hAPP(fun(_u289, bool), fun(fun(_u289, bool), bool), ord_less_eq(fun(_u289, bool)), _u286), _u288)) | hBOOL(hAPP(fun(_u289, bool), bool, hAPP(_u289, fun(fun(_u289, bool), bool), member(_u289), _u287), _u288)) )).
% 15.43/15.61 cnf(matrix-161, plain, ( ~hBOOL(hAPP(fun(_u293, bool), bool, hAPP(fun(_u293, bool), fun(fun(_u293, bool), bool), ord_less_eq(fun(_u293, bool)), _u291), _u290)) | ~hBOOL(hAPP(fun(_u293, bool), bool, hAPP(_u293, fun(fun(_u293, bool), bool), member(_u293), _u292), _u291)) | hBOOL(hAPP(fun(_u293, bool), bool, hAPP(_u293, fun(fun(_u293, bool), bool), member(_u293), _u292), _u290)) )).
% 15.43/15.61 cnf(matrix-162, plain, ( ~hBOOL(hAPP(fun(_u297, bool), bool, hAPP(fun(_u297, bool), fun(fun(_u297, bool), bool), ord_less_eq(fun(_u297, bool)), _u295), _u294)) | ~hBOOL(hAPP(fun(_u297, bool), bool, hAPP(fun(_u297, bool), fun(fun(_u297, bool), bool), ord_less_eq(fun(_u297, bool)), _u294), _u296)) | hBOOL(hAPP(fun(_u297, bool), bool, hAPP(fun(_u297, bool), fun(fun(_u297, bool), bool), ord_less_eq(fun(_u297, bool)), _u295), _u296)) )).
% 15.43/15.61 cnf(matrix-163, plain, ( ( ti(fun(_u300, bool), _u299) != ti(fun(_u300, bool), _u298)) | hBOOL(hAPP(fun(_u300, bool), bool, hAPP(fun(_u300, bool), fun(fun(_u300, bool), bool), ord_less_eq(fun(_u300, bool)), _u299), _u298)) )).
% 15.43/15.61 cnf(matrix-164, plain, ( ( ti(fun(_u300, bool), _u299) != ti(fun(_u300, bool), _u298)) | hBOOL(hAPP(fun(_u300, bool), bool, hAPP(fun(_u300, bool), fun(fun(_u300, bool), bool), ord_less_eq(fun(_u300, bool)), _u298), _u299)) )).
% 15.43/15.61 cnf(matrix-165, plain, ( ( hAPP(_u305, _u304, _u303, skolem4(_u305, _u304, _u303, _u302)) != hAPP(_u305, _u304, _u302, skolem4(_u305, _u304, _u303, _u302))) | ( ti(fun(_u305, _u304), _u303) = ti(fun(_u305, _u304), _u302)) )).
% 15.43/15.61 cnf(matrix-166, plain, ( ~hBOOL(hAPP(fun(_u313, bool), bool, hAPP(_u313, fun(fun(_u313, bool), bool), member(_u313), _u311), _u309)) | hBOOL(hAPP(_u313, bool, _u309, _u311)) )).
% 15.43/15.61 cnf(matrix-167, plain, ( ~hBOOL(hAPP(_u314, bool, _u310, _u312)) | hBOOL(hAPP(fun(_u314, bool), bool, hAPP(_u314, fun(fun(_u314, bool), bool), member(_u314), _u312), _u310)) )).
% 15.43/15.61 cnf(matrix-168, plain, ( ( hAPP(fun(_u316, bool), fun(_u316, bool), collect(_u316), _u315) = ti(fun(_u316, bool), _u315)) )).
% 15.43/15.61 cnf(matrix-169, plain, ( ~hBOOL(hAPP(fun(_u332, bool), bool, hAPP(_u332, fun(fun(_u332, bool), bool), member(_u332), _u328), hAPP(fun(_u330, bool), fun(_u332, bool), hAPP(fun(_u330, _u332), fun(fun(_u330, bool), fun(_u332, bool)), image(_u330, _u332), _u326), _u324))) | hBOOL(hAPP(fun(_u330, bool), bool, hAPP(_u330, fun(fun(_u330, bool), bool), member(_u330), skolem5(_u332, _u330, _u328, _u326, _u324)), _u324)) )).
% 15.43/15.61 cnf(matrix-170, plain, ( ~hBOOL(hAPP(fun(_u332, bool), bool, hAPP(_u332, fun(fun(_u332, bool), bool), member(_u332), _u328), hAPP(fun(_u330, bool), fun(_u332, bool), hAPP(fun(_u330, _u332), fun(fun(_u330, bool), fun(_u332, bool)), image(_u330, _u332), _u326), _u324))) | ( ti(_u332, _u328) = hAPP(_u330, _u332, _u326, skolem5(_u332, _u330, _u328, _u326, _u324))) )).
% 15.43/15.61 cnf(matrix-171, plain, ( ~hBOOL(hAPP(fun(_u331, bool), bool, hAPP(_u331, fun(fun(_u331, bool), bool), member(_u331), _u318), _u325)) | ( ti(_u333, _u329) != hAPP(_u331, _u333, _u327, _u318)) | hBOOL(hAPP(fun(_u333, bool), bool, hAPP(_u333, fun(fun(_u333, bool), bool), member(_u333), _u329), hAPP(fun(_u331, bool), fun(_u333, bool), hAPP(fun(_u331, _u333), fun(fun(_u331, bool), fun(_u333, bool)), image(_u331, _u333), _u327), _u325))) )).
% 15.43/15.61 cnf(matrix-172, plain, ( ~hBOOL(hAPP(fun(_u337, bool), bool, hAPP(_u337, fun(fun(_u337, bool), bool), member(_u337), _u335), _u334)) | hBOOL(hAPP(fun(_u338, bool), bool, hAPP(_u338, fun(fun(_u338, bool), bool), member(_u338), hAPP(_u337, _u338, _u336, _u335)), hAPP(fun(_u337, bool), fun(_u338, bool), hAPP(fun(_u337, _u338), fun(fun(_u337, bool), fun(_u338, bool)), image(_u337, _u338), _u336), _u334))) )).
% 15.43/15.61 cnf(matrix-173, plain, ( ~hBOOL(hAPP(fun(_u343, bool), bool, hAPP(_u343, fun(fun(_u343, bool), bool), member(_u343), _u340), _u339)) | ( ti(_u344, _u342) != hAPP(_u343, _u344, _u341, _u340)) | hBOOL(hAPP(fun(_u344, bool), bool, hAPP(_u344, fun(fun(_u344, bool), bool), member(_u344), _u342), hAPP(fun(_u343, bool), fun(_u344, bool), hAPP(fun(_u343, _u344), fun(fun(_u343, bool), fun(_u344, bool)), image(_u343, _u344), _u341), _u339))) )).
% 15.43/15.61 cnf(matrix-174, plain, ( ( hAPP(fun(_u347, bool), fun(_u347, bool), hAPP(_u347, fun(fun(_u347, bool), fun(_u347, bool)), insert(_u347), _u346), _u345) = hAPP(fun(_u347, bool), fun(_u347, bool), collect(_u347), hAPP(fun(_u347, bool), fun(_u347, bool), hAPP(fun(_u347, fun(bool, bool)), fun(fun(_u347, bool), fun(_u347, bool)), combs(_u347, bool, bool), hAPP(fun(_u347, bool), fun(_u347, fun(bool, bool)), hAPP(fun(bool, fun(bool, bool)), fun(fun(_u347, bool), fun(_u347, fun(bool, bool))), combb(bool, fun(bool, bool), _u347), fdisj), hAPP(_u347, fun(_u347, bool), hAPP(fun(_u347, fun(_u347, bool)), fun(_u347, fun(_u347, bool)), combc(_u347, _u347, bool), fequal(_u347)), _u346))), hAPP(fun(_u347, bool), fun(_u347, bool), hAPP(fun(_u347, fun(fun(_u347, bool), bool)), fun(fun(_u347, bool), fun(_u347, bool)), combc(_u347, fun(_u347, bool), bool), member(_u347)), _u345)))) )).
% 15.43/15.61 cnf(matrix-175, plain, ( ( hAPP(fun(_u353, bool), fun(_u352, bool), hAPP(fun(_u353, _u352), fun(fun(_u353, bool), fun(_u352, bool)), image(_u353, _u352), _u350), hAPP(fun(_u351, bool), fun(_u353, bool), hAPP(fun(_u351, _u353), fun(fun(_u351, bool), fun(_u353, bool)), image(_u351, _u353), _u349), _u348)) = hAPP(fun(_u351, bool), fun(_u352, bool), hAPP(fun(_u351, _u352), fun(fun(_u351, bool), fun(_u352, bool)), image(_u351, _u352), hAPP(fun(_u351, _u353), fun(_u351, _u352), hAPP(fun(_u353, _u352), fun(fun(_u351, _u353), fun(_u351, _u352)), combb(_u353, _u352, _u351), _u350), _u349)), _u348)) )).
% 15.43/15.61 cnf(matrix-176, plain, ( ( hAPP(fun(_u355, bool), fun(_u355, bool), hAPP(fun(_u355, _u355), fun(fun(_u355, bool), fun(_u355, bool)), image(_u355, _u355), combi(_u355)), _u354) = ti(fun(_u355, bool), _u354)) )).
% 15.43/15.61 cnf(matrix-177, plain, ( hBOOL(hAPP(fun(_u358, bool), bool, hAPP(fun(_u358, bool), fun(fun(_u358, bool), bool), ord_less_eq(fun(_u358, bool)), _u357), hAPP(fun(_u358, bool), fun(_u358, bool), hAPP(_u358, fun(fun(_u358, bool), fun(_u358, bool)), insert(_u358), _u356), _u357))) )).
% 15.43/15.61 cnf(matrix-178, plain, ( ~hBOOL(hAPP(fun(_u369, bool), bool, hAPP(fun(_u369, bool), fun(fun(_u369, bool), bool), ord_less_eq(fun(_u369, bool)), hAPP(fun(_u369, bool), fun(_u369, bool), hAPP(_u369, fun(fun(_u369, bool), fun(_u369, bool)), insert(_u369), _u367), _u365)), _u363)) | hBOOL(hAPP(fun(_u369, bool), bool, hAPP(_u369, fun(fun(_u369, bool), bool), member(_u369), _u367), _u363)) )).
% 15.43/15.61 cnf(matrix-179, plain, ( ~hBOOL(hAPP(fun(_u369, bool), bool, hAPP(fun(_u369, bool), fun(fun(_u369, bool), bool), ord_less_eq(fun(_u369, bool)), hAPP(fun(_u369, bool), fun(_u369, bool), hAPP(_u369, fun(fun(_u369, bool), fun(_u369, bool)), insert(_u369), _u367), _u365)), _u363)) | hBOOL(hAPP(fun(_u369, bool), bool, hAPP(fun(_u369, bool), fun(fun(_u369, bool), bool), ord_less_eq(fun(_u369, bool)), _u365), _u363)) )).
% 15.43/15.61 cnf(matrix-180, plain, ( ~hBOOL(hAPP(fun(_u370, bool), bool, hAPP(_u370, fun(fun(_u370, bool), bool), member(_u370), _u368), _u364)) | ~hBOOL(hAPP(fun(_u370, bool), bool, hAPP(fun(_u370, bool), fun(fun(_u370, bool), bool), ord_less_eq(fun(_u370, bool)), _u366), _u364)) | hBOOL(hAPP(fun(_u370, bool), bool, hAPP(fun(_u370, bool), fun(fun(_u370, bool), bool), ord_less_eq(fun(_u370, bool)), hAPP(fun(_u370, bool), fun(_u370, bool), hAPP(_u370, fun(fun(_u370, bool), fun(_u370, bool)), insert(_u370), _u368), _u366)), _u364)) )).
% 15.43/15.61 cnf(matrix-181, plain, ( hBOOL(hAPP(fun(_u374, bool), bool, hAPP(_u374, fun(fun(_u374, bool), bool), member(_u374), _u372), _u371)) | ~hBOOL(hAPP(fun(_u374, bool), bool, hAPP(fun(_u374, bool), fun(fun(_u374, bool), bool), ord_less_eq(fun(_u374, bool)), _u371), hAPP(fun(_u374, bool), fun(_u374, bool), hAPP(_u374, fun(fun(_u374, bool), fun(_u374, bool)), insert(_u374), _u372), _u373))) | hBOOL(hAPP(fun(_u374, bool), bool, hAPP(fun(_u374, bool), fun(fun(_u374, bool), bool), ord_less_eq(fun(_u374, bool)), _u371), _u373)) )).
% 15.43/15.61 cnf(matrix-182, plain, ( hBOOL(hAPP(fun(_u374, bool), bool, hAPP(_u374, fun(fun(_u374, bool), bool), member(_u374), _u372), _u371)) | ~hBOOL(hAPP(fun(_u374, bool), bool, hAPP(fun(_u374, bool), fun(fun(_u374, bool), bool), ord_less_eq(fun(_u374, bool)), _u371), _u373)) | hBOOL(hAPP(fun(_u374, bool), bool, hAPP(fun(_u374, bool), fun(fun(_u374, bool), bool), ord_less_eq(fun(_u374, bool)), _u371), hAPP(fun(_u374, bool), fun(_u374, bool), hAPP(_u374, fun(fun(_u374, bool), fun(_u374, bool)), insert(_u374), _u372), _u373))) )).
% 15.43/15.61 cnf(matrix-183, plain, ( ~hBOOL(hAPP(fun(_u378, bool), bool, hAPP(fun(_u378, bool), fun(fun(_u378, bool), bool), ord_less_eq(fun(_u378, bool)), _u376), _u375)) | hBOOL(hAPP(fun(_u378, bool), bool, hAPP(fun(_u378, bool), fun(fun(_u378, bool), bool), ord_less_eq(fun(_u378, bool)), _u376), hAPP(fun(_u378, bool), fun(_u378, bool), hAPP(_u378, fun(fun(_u378, bool), fun(_u378, bool)), insert(_u378), _u377), _u375))) )).
% 15.43/15.61 cnf(matrix-184, plain, ( ~hBOOL(hAPP(fun(_u382, bool), bool, hAPP(fun(_u382, bool), fun(fun(_u382, bool), bool), ord_less_eq(fun(_u382, bool)), _u380), _u379)) | hBOOL(hAPP(fun(_u382, bool), bool, hAPP(fun(_u382, bool), fun(fun(_u382, bool), bool), ord_less_eq(fun(_u382, bool)), hAPP(fun(_u382, bool), fun(_u382, bool), hAPP(_u382, fun(fun(_u382, bool), fun(_u382, bool)), insert(_u382), _u381), _u380)), hAPP(fun(_u382, bool), fun(_u382, bool), hAPP(_u382, fun(fun(_u382, bool), fun(_u382, bool)), insert(_u382), _u381), _u379))) )).
% 15.43/15.61 cnf(matrix-185, plain, ( ( hAPP(fun(_u387, bool), fun(_u386, bool), hAPP(fun(_u387, _u386), fun(fun(_u387, bool), fun(_u386, bool)), image(_u387, _u386), _u385), hAPP(fun(_u387, bool), fun(_u387, bool), hAPP(_u387, fun(fun(_u387, bool), fun(_u387, bool)), insert(_u387), _u384), _u383)) = hAPP(fun(_u386, bool), fun(_u386, bool), hAPP(_u386, fun(fun(_u386, bool), fun(_u386, bool)), insert(_u386), hAPP(_u387, _u386, _u385, _u384)), hAPP(fun(_u387, bool), fun(_u386, bool), hAPP(fun(_u387, _u386), fun(fun(_u387, bool), fun(_u386, bool)), image(_u387, _u386), _u385), _u383))) )).
% 15.43/15.61 cnf(matrix-186, plain, ( ~hBOOL(hAPP(fun(_u391, bool), bool, hAPP(_u391, fun(fun(_u391, bool), bool), member(_u391), _u389), _u388)) | ( hAPP(fun(_u392, bool), fun(_u392, bool), hAPP(_u392, fun(fun(_u392, bool), fun(_u392, bool)), insert(_u392), hAPP(_u391, _u392, _u390, _u389)), hAPP(fun(_u391, bool), fun(_u392, bool), hAPP(fun(_u391, _u392), fun(fun(_u391, bool), fun(_u392, bool)), image(_u391, _u392), _u390), _u388)) = hAPP(fun(_u391, bool), fun(_u392, bool), hAPP(fun(_u391, _u392), fun(fun(_u391, bool), fun(_u392, bool)), image(_u391, _u392), _u390), _u388)) )).
% 15.43/15.61 cnf(matrix-187, plain, ( ~hBOOL(hAPP(fun(_u408, bool), bool, hAPP(fun(_u408, bool), fun(fun(_u408, bool), bool), ord_less_eq(fun(_u408, bool)), _u404), hAPP(fun(_u406, bool), fun(_u408, bool), hAPP(fun(_u406, _u408), fun(fun(_u406, bool), fun(_u408, bool)), image(_u406, _u408), _u402), _u400))) | hBOOL(hAPP(fun(_u406, bool), bool, hAPP(fun(_u406, bool), fun(fun(_u406, bool), bool), ord_less_eq(fun(_u406, bool)), skolem6(_u408, _u406, _u404, _u402, _u400)), _u400)) )).
% 15.43/15.61 cnf(matrix-188, plain, ( ~hBOOL(hAPP(fun(_u408, bool), bool, hAPP(fun(_u408, bool), fun(fun(_u408, bool), bool), ord_less_eq(fun(_u408, bool)), _u404), hAPP(fun(_u406, bool), fun(_u408, bool), hAPP(fun(_u406, _u408), fun(fun(_u406, bool), fun(_u408, bool)), image(_u406, _u408), _u402), _u400))) | ( ti(fun(_u408, bool), _u404) = hAPP(fun(_u406, bool), fun(_u408, bool), hAPP(fun(_u406, _u408), fun(fun(_u406, bool), fun(_u408, bool)), image(_u406, _u408), _u402), skolem6(_u408, _u406, _u404, _u402, _u400))) )).
% 15.43/15.61 cnf(matrix-189, plain, ( ~hBOOL(hAPP(fun(_u407, bool), bool, hAPP(fun(_u407, bool), fun(fun(_u407, bool), bool), ord_less_eq(fun(_u407, bool)), _u394), _u401)) | ( ti(fun(_u409, bool), _u405) != hAPP(fun(_u407, bool), fun(_u409, bool), hAPP(fun(_u407, _u409), fun(fun(_u407, bool), fun(_u409, bool)), image(_u407, _u409), _u403), _u394)) | hBOOL(hAPP(fun(_u409, bool), bool, hAPP(fun(_u409, bool), fun(fun(_u409, bool), bool), ord_less_eq(fun(_u409, bool)), _u405), hAPP(fun(_u407, bool), fun(_u409, bool), hAPP(fun(_u407, _u409), fun(fun(_u407, bool), fun(_u409, bool)), image(_u407, _u409), _u403), _u401))) )).
% 15.43/15.61 cnf(matrix-190, plain, ( ~hBOOL(hAPP(fun(_u413, bool), bool, hAPP(fun(_u413, bool), fun(fun(_u413, bool), bool), ord_less_eq(fun(_u413, bool)), _u411), _u410)) | hBOOL(hAPP(fun(_u414, bool), bool, hAPP(fun(_u414, bool), fun(fun(_u414, bool), bool), ord_less_eq(fun(_u414, bool)), hAPP(fun(_u413, bool), fun(_u414, bool), hAPP(fun(_u413, _u414), fun(fun(_u413, bool), fun(_u414, bool)), image(_u413, _u414), _u412), _u411)), hAPP(fun(_u413, bool), fun(_u414, bool), hAPP(fun(_u413, _u414), fun(fun(_u413, bool), fun(_u414, bool)), image(_u413, _u414), _u412), _u410))) )).
% 15.43/15.61 cnf(matrix-191, plain, ( ~hBOOL(hAPP(fun(_u420, bool), bool, hAPP(_u420, fun(fun(_u420, bool), bool), member(_u420), _u418), hAPP(fun(_u419, bool), fun(_u420, bool), hAPP(fun(_u419, _u420), fun(fun(_u419, bool), fun(_u420, bool)), image(_u419, _u420), _u417), _u416))) | ( ti(_u420, _u418) = hAPP(_u419, _u420, _u417, skolem7(_u420, _u419, _u418, _u417, _u416))) )).
% 15.43/15.61 cnf(matrix-192, plain, ( ~hBOOL(hAPP(fun(_u420, bool), bool, hAPP(_u420, fun(fun(_u420, bool), bool), member(_u420), _u418), hAPP(fun(_u419, bool), fun(_u420, bool), hAPP(fun(_u419, _u420), fun(fun(_u419, bool), fun(_u420, bool)), image(_u419, _u420), _u417), _u416))) | hBOOL(hAPP(fun(_u419, bool), bool, hAPP(_u419, fun(fun(_u419, bool), bool), member(_u419), skolem7(_u420, _u419, _u418, _u417, _u416)), _u416)) )).
% 15.43/15.61 cnf(matrix-193, plain, ( hBOOL(hAPP(fun(_u424, bool), bool, hAPP(fun(_u424, bool), fun(fun(_u424, bool), bool), ord_less_eq(fun(_u424, bool)), _u422), _u423)) | hBOOL(hAPP(fun(_u424, bool), bool, hAPP(_u424, fun(fun(_u424, bool), bool), member(_u424), skolem8(_u424, _u423, _u422)), _u422)) )).
% 15.43/15.61 cnf(matrix-194, plain, ( hBOOL(hAPP(fun(_u424, bool), bool, hAPP(fun(_u424, bool), fun(fun(_u424, bool), bool), ord_less_eq(fun(_u424, bool)), _u422), _u423)) | ~hBOOL(hAPP(fun(_u424, bool), bool, hAPP(_u424, fun(fun(_u424, bool), bool), member(_u424), skolem8(_u424, _u423, _u422)), _u423)) )).
% 15.43/15.61 cnf(matrix-195, plain, ( ~hBOOL(hAPP(nat, bool, _u427, _u426)) | hBOOL(hAPP(nat, bool, _u427, hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u426), _u428))) | hBOOL(hAPP(nat, bool, _u427, hAPP(nat, nat, suc, skolem9(_u428, _u427, _u426)))) )).
% 15.43/15.61 cnf(matrix-196, plain, ( ~hBOOL(hAPP(nat, bool, _u427, _u426)) | hBOOL(hAPP(nat, bool, _u427, hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), _u426), _u428))) | ~hBOOL(hAPP(nat, bool, _u427, skolem9(_u428, _u427, _u426))) )).
% 15.43/15.61 cnf(matrix-197, plain, ( ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, _u431)), _u430)) | ( _u430 = hAPP(nat, nat, suc, skolem10(_u431, _u430))) )).
% 15.43/15.61 cnf(matrix-198, plain, ( hBOOL(hAPP(fun(_u437, bool), bool, hAPP(fun(_u437, bool), fun(fun(_u437, bool), bool), ord_less_eq(fun(_u437, bool)), hAPP(fun(_u436, bool), fun(_u437, bool), hAPP(fun(_u436, _u437), fun(fun(_u436, bool), fun(_u437, bool)), image(_u436, _u437), _u435), _u433)), _u434)) | hBOOL(hAPP(fun(_u436, bool), bool, hAPP(_u436, fun(fun(_u436, bool), bool), member(_u436), skolem11(_u437, _u436, _u435, _u434, _u433)), _u433)) )).
% 15.43/15.61 cnf(matrix-199, plain, ( hBOOL(hAPP(fun(_u437, bool), bool, hAPP(fun(_u437, bool), fun(fun(_u437, bool), bool), ord_less_eq(fun(_u437, bool)), hAPP(fun(_u436, bool), fun(_u437, bool), hAPP(fun(_u436, _u437), fun(fun(_u436, bool), fun(_u437, bool)), image(_u436, _u437), _u435), _u433)), _u434)) | ~hBOOL(hAPP(fun(_u437, bool), bool, hAPP(_u437, fun(fun(_u437, bool), bool), member(_u437), hAPP(_u436, _u437, _u435, skolem11(_u437, _u436, _u435, _u434, _u433))), _u434)) )).
% 15.43/15.61 cnf(matrix-200, plain, ( ~preorder(_u439) | hBOOL(hAPP(_u439, bool, hAPP(_u439, fun(_u439, bool), ord_less_eq(_u439), _u438), _u438)) )).
% 15.43/15.61 cnf(matrix-201, plain, ( ~hBOOL(hAPP(fun(nat, bool), bool, finite_finite(nat), _u445)) | ~hBOOL(hAPP(fun(nat, bool), bool, hAPP(nat, fun(fun(nat, bool), bool), member(nat), _u440), _u445)) | hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), _u440), skolem12(_u445))) )).
% 15.43/15.61 cnf(matrix-202, plain, ( hBOOL(hAPP(fun(nat, bool), bool, finite_finite(nat), _u446)) | hBOOL(hAPP(fun(nat, bool), bool, hAPP(nat, fun(fun(nat, bool), bool), member(nat), skolem13(_u446, _u443)), _u446)) )).
% 15.43/15.61 cnf(matrix-203, plain, ( hBOOL(hAPP(fun(nat, bool), bool, finite_finite(nat), _u446)) | ~hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), skolem13(_u446, _u443)), _u443)) )).
% 15.43/15.61 cnf(matrix-204, plain, ( ~preorder(_u447) | preorder(fun(_u448, _u447)) )).
% 15.43/15.61 cnf(matrix-205, plain, ( ~finite_finite_1(_u449) | ~finite_finite_1(_u450) | finite_finite_1(fun(_u450, _u449)) )).
% 15.43/15.61 cnf(matrix-206, plain, ( ~order(_u451) | order(fun(_u452, _u451)) )).
% 15.43/15.61 cnf(matrix-207, plain, ( preorder(nat) )).
% 15.43/15.61 cnf(matrix-208, plain, ( order(nat) )).
% 15.43/15.61 cnf(matrix-209, plain, ( preorder(bool) )).
% 15.43/15.61 cnf(matrix-210, plain, ( finite_finite_1(bool) )).
% 15.43/15.61 cnf(matrix-211, plain, ( order(bool) )).
% 15.43/15.61 cnf(matrix-212, plain, ( ( ti(_u454, ti(_u454, _u453)) = ti(_u454, _u453)) )).
% 15.43/15.61 cnf(matrix-213, plain, ( ~hBOOL(hAPP(bool, bool, fNot, _u455)) | ~hBOOL(_u455) )).
% 15.43/15.61 cnf(matrix-214, plain, ( hBOOL(_u456) | hBOOL(hAPP(bool, bool, fNot, _u456)) )).
% 15.43/15.61 cnf(matrix-215, plain, ( ( hAPP(_u462, _u461, hAPP(fun(_u462, _u460), fun(_u462, _u461), hAPP(fun(_u460, _u461), fun(fun(_u462, _u460), fun(_u462, _u461)), combb(_u460, _u461, _u462), _u459), _u458), _u457) = hAPP(_u460, _u461, _u459, hAPP(_u462, _u460, _u458, _u457))) )).
% 15.43/15.61 cnf(matrix-216, plain, ( ( hAPP(_u468, _u467, hAPP(_u466, fun(_u468, _u467), hAPP(fun(_u468, fun(_u466, _u467)), fun(_u466, fun(_u468, _u467)), combc(_u468, _u466, _u467), _u465), _u464), _u463) = hAPP(_u466, _u467, hAPP(_u468, fun(_u466, _u467), _u465, _u463), _u464)) )).
% 15.43/15.61 cnf(matrix-217, plain, ( ( hAPP(_u470, _u470, combi(_u470), _u469) = ti(_u470, _u469)) )).
% 15.43/15.61 cnf(matrix-218, plain, ( ( hAPP(_u476, _u475, hAPP(fun(_u476, _u474), fun(_u476, _u475), hAPP(fun(_u476, fun(_u474, _u475)), fun(fun(_u476, _u474), fun(_u476, _u475)), combs(_u476, _u474, _u475), _u473), _u472), _u471) = hAPP(_u474, _u475, hAPP(_u476, fun(_u474, _u475), _u473, _u471), hAPP(_u476, _u474, _u472, _u471))) )).
% 15.43/15.61 cnf(matrix-219, plain, ( ~hBOOL(_u478) | ~hBOOL(_u477) | hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fconj, _u477), _u478)) )).
% 15.43/15.61 cnf(matrix-220, plain, ( hBOOL(_u480) | ~hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fconj, _u480), _u479)) )).
% 15.43/15.61 cnf(matrix-221, plain, ( ~hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fconj, _u482), _u481)) | hBOOL(_u481) )).
% 15.43/15.61 cnf(matrix-222, plain, ( ~hBOOL(_u483) | hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fdisj, _u483), _u484)) )).
% 15.43/15.61 cnf(matrix-223, plain, ( ~hBOOL(_u485) | hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fdisj, _u486), _u485)) )).
% 15.43/15.61 cnf(matrix-224, plain, ( hBOOL(_u488) | ~hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fdisj, _u488), _u487)) | hBOOL(_u487) )).
% 15.43/15.61 cnf(matrix-225, plain, ( ~hBOOL(hAPP(_u491, bool, hAPP(_u491, fun(_u491, bool), fequal(_u491), _u490), _u489)) | ( ti(_u491, _u490) = ti(_u491, _u489)) )).
% 15.43/15.61 cnf(matrix-226, plain, ( ( ti(_u494, _u493) != ti(_u494, _u492)) | hBOOL(hAPP(_u494, bool, hAPP(_u494, fun(_u494, bool), fequal(_u494), _u493), _u492)) )).
% 15.43/15.61 cnf(matrix-227, plain, ( hBOOL(_u495) | hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fimplies, _u495), _u496)) )).
% 15.43/15.61 cnf(matrix-228, plain, ( ~hBOOL(_u497) | hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fimplies, _u498), _u497)) )).
% 15.43/15.61 cnf(matrix-229, plain, ( ~hBOOL(_u500) | ~hBOOL(hAPP(bool, bool, hAPP(bool, fun(bool, bool), fimplies, _u500), _u499)) | hBOOL(_u499) )).
% 15.43/15.61 cnf(matrix-230, plain, ( hBOOL(hAPP(fun(pname, bool), bool, finite_finite(pname), u)) )).
% 15.43/15.61 cnf(matrix-231, plain, ( hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), g), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))) )).
% 15.43/15.61 cnf(matrix-232, plain, ( hBOOL(hAPP(nat, bool, hAPP(nat, fun(nat, bool), ord_less_eq(nat), hAPP(nat, nat, suc, na)), hAPP(fun(x_a, bool), nat, finite_card(x_a), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u)))) )).
% 15.43/15.61 cnf(matrix-233, plain, ( ( hAPP(fun(x_a, bool), nat, finite_card(x_a), g) = hAPP(nat, nat, hAPP(nat, fun(nat, nat), minus_minus(nat), hAPP(fun(x_a, bool), nat, finite_card(x_a), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))), hAPP(nat, nat, suc, na))) )).
% 15.43/15.61 cnf(matrix-234, plain, ( hBOOL(hAPP(fun(pname, bool), bool, hAPP(pname, fun(fun(pname, bool), bool), member(pname), pn), u)) )).
% 15.43/15.61 cnf(matrix-235, plain, ( ~hBOOL(hAPP(fun(x_a, bool), bool, hAPP(x_a, fun(fun(x_a, bool), bool), member(x_a), hAPP(pname, x_a, mgt_call, pn)), g)) )).
% 15.43/15.61 cnf(matrix-236, plain, ( ~hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), hAPP(fun(x_a, bool), fun(x_a, bool), hAPP(x_a, fun(fun(x_a, bool), fun(x_a, bool)), insert(x_a), hAPP(pname, x_a, mgt_call, pn)), g)), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))) )).
% 15.43/15.61
% 15.43/15.61 % Proof stack:
% 15.43/15.61 cnf(proof-stack, plain,
% 15.43/15.61 proof_stack(
% 15.43/15.61 start(236),
% 15.43/15.61 left_branch(0, 180, 2, 2),
% 15.43/15.61 left_branch(0, 173, 2, 3),
% 15.43/15.61 left_branch(0, 234, 0, 4),
% 15.43/15.61 right_branch(4),
% 15.43/15.61 left_branch(0, 57, 0, 5),
% 15.43/15.61 right_branch(5),
% 15.43/15.61 right_branch(3),
% 15.43/15.61 left_branch(0, 231, 0, 4),
% 15.43/15.61 right_branch(4),
% 15.43/15.61 right_branch(2)
% 15.43/15.61 )).
% 15.43/15.61 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------