TSTP Solution File: SCT131+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n029.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 : Mon Mar 25 14:30:23 EDT 2024
% Result : Theorem 57.32s 57.51s
% Output : Proof 57.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n029.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 : Wed Mar 20 17:41:03 EDT 2024
% 0.13/0.34 % CPUTime :
% 57.32/57.51 % SZS status Theorem for theBenchmark
% 57.32/57.51 % SZS output start Proof for theBenchmark
% 57.32/57.51
% 57.32/57.51 % Formula: fact_ext ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_u ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_u-1, axiom, ( c_Arrow__Order__Mirabelle_Ounanimity(v_F) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_assms_I3_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_assms_I3_J-1, axiom, ( c_Arrow__Order__Mirabelle_OIIA(v_F) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact__096b_A_126_061_Ab_H_096 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact__096b_A_126_061_Ab_H_096-1, axiom, ( ( v_b____ != v_b_H____) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_d2_I2_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_d2_I2_J-1, axiom, ( ( v_b____ != v_a_H____) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_Q____, _u3))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_d1_I2_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_d1_I2_J-1, axiom, ( ( v_a_H____ != v_b_H____) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_d1_I1_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_d1_I1_J-1, axiom, ( ( v_a____ != v_b____) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_d2_I1_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_d2_I1_J-1, axiom, ( ( v_a____ != v_b_H____) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_calculation_I1_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_calculation_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_Q____))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact__096a_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_096 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact__096a_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_096-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_P____))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_equalityCE-1, axiom, ( ( _u4 != _u5) | hBOOL(hAPP(hAPP(c_member(_u6), _u7), _u4)) | ~hBOOL(hAPP(hAPP(c_member(_u6), _u7), _u5)) )).
% 57.32/57.51 cnf(fact_equalityCE-2, axiom, ( ( _u4 != _u5) | hBOOL(hAPP(hAPP(c_member(_u6), _u7), _u5)) | ~hBOOL(hAPP(hAPP(c_member(_u6), _u7), _u4)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_in__mkbot ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_in__mkbot-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u12), _u14)), c_Arrow__Order__Mirabelle_Omkbot(_u16, _u18))) | ( _u14 != _u18) )).
% 57.32/57.51 cnf(fact_in__mkbot-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u12), _u14)), c_Arrow__Order__Mirabelle_Omkbot(_u16, _u18))) | ( _u12 != _u18) | ( _u12 != _u14) )).
% 57.32/57.51 cnf(fact_in__mkbot-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u12), _u14)), c_Arrow__Order__Mirabelle_Omkbot(_u16, _u18))) | ( _u12 = _u18) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u12), _u14)), _u16)) )).
% 57.32/57.51 cnf(fact_in__mkbot-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u13), _u15)), c_Arrow__Order__Mirabelle_Omkbot(_u17, _u19))) | ( _u15 = _u19) | ( _u13 = _u19) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u13), _u15)), _u17)) )).
% 57.32/57.51 cnf(fact_in__mkbot-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u13), _u15)), c_Arrow__Order__Mirabelle_Omkbot(_u17, _u19))) | ( _u15 = _u19) | ( _u13 = _u15) | ( _u13 != _u19) )).
% 57.32/57.51 cnf(fact_in__mkbot-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u13), _u15)), c_Arrow__Order__Mirabelle_Omkbot(_u17, _u19))) | ( _u15 = _u19) | ( _u13 = _u15) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u13), _u15)), _u17)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_in__mktop ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_in__mktop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u24), _u26)), c_Arrow__Order__Mirabelle_Omktop(_u28, _u30))) | ( _u24 != _u30) )).
% 57.32/57.51 cnf(fact_in__mktop-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u24), _u26)), c_Arrow__Order__Mirabelle_Omktop(_u28, _u30))) | ( _u26 != _u30) | ( _u24 != _u26) )).
% 57.32/57.51 cnf(fact_in__mktop-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u24), _u26)), c_Arrow__Order__Mirabelle_Omktop(_u28, _u30))) | ( _u26 = _u30) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u24), _u26)), _u28)) )).
% 57.32/57.51 cnf(fact_in__mktop-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u25), _u27)), c_Arrow__Order__Mirabelle_Omktop(_u29, _u31))) | ( _u25 = _u31) | ( _u27 = _u31) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u25), _u27)), _u29)) )).
% 57.32/57.51 cnf(fact_in__mktop-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u25), _u27)), c_Arrow__Order__Mirabelle_Omktop(_u29, _u31))) | ( _u25 = _u31) | ( _u25 = _u27) | ( _u27 != _u31) )).
% 57.32/57.51 cnf(fact_in__mktop-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u25), _u27)), c_Arrow__Order__Mirabelle_Omktop(_u29, _u31))) | ( _u25 = _u31) | ( _u25 = _u27) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u25), _u27)), _u29)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_calculation_I2_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_calculation_I2_J-1, axiom, ( ( v_a____ = v_a_H____) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a_H____), v_a____)), hAPP(v_F, v_Q____))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_J_096 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_J_096-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _u33))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_Q____, _u33))) )).
% 57.32/57.51 cnf(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_J_096-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_Q____, _u34))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _u34))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u40, _u42, _u44), _u46), _u48)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u40, _u42)), hAPP(hAPP(c_Product__Type_OPair(_u40, _u42), _u46), _u48)), _u44)) )).
% 57.32/57.51 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u41, _u43)), hAPP(hAPP(c_Product__Type_OPair(_u41, _u43), _u47), _u49)), _u45)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u41, _u43, _u45), _u47), _u49)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u50, _u51)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u52, _u52)), hAPP(hAPP(c_Product__Type_OPair(_u52, _u52), _u53), _u54)), hAPP(_u55, _u51))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u56, _u52), tc_prod(_u56, _u52))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u56, _u52), tc_prod(_u56, _u52)), hAPP(hAPP(c_Product__Type_OPair(_u56, _u52), _u51), _u53)), hAPP(hAPP(c_Product__Type_OPair(_u56, _u52), _u51), _u54))), c_Recdef_Osame__fst(_u56, _u52, _u50, _u55))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact__C1_C ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact__C1_C-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _u58))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a_H____), v_b_H____)), hAPP(v_P_H____, _u58))) )).
% 57.32/57.51 cnf(fact__C1_C-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a_H____), v_b_H____)), hAPP(v_P_H____, _u59))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _u59))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u64, _u66) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u64, _u64)), hAPP(hAPP(c_Product__Type_OPair(_u64, _u64), _u60), _u60)), _u66)) )).
% 57.32/57.51 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u65, _u65)), hAPP(hAPP(c_Product__Type_OPair(_u65, _u65), skolem2(_u67, _u65)), skolem2(_u67, _u65))), _u67)) | c_Nitpick_Orefl_H(_u65, _u67) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact__096F_AQ_A_058_ALin_096 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact__096F_AQ_A_058_ALin_096-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(v_F, v_Q____)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact__096P_A_058_AProf_096 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact__096P_A_058_AProf_096-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_P____), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact__096P_H_A_058_AProf_096 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact__096P_H_A_058_AProf_096-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_P_H____), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_mkbot__Lin ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_mkbot__Lin-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u68), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Omkbot(_u68, _u69)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_mktop__Lin ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_mktop__Lin-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u70), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Omktop(_u70, _u71)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Lin__irrefl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Lin__irrefl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u72), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u73), _u74)), _u72)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u74), _u73)), _u72)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_notin__Lin__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_notin__Lin__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u75), c_Arrow__Order__Mirabelle_OLin)) | ( _u76 = _u77) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u76), _u77)), _u75)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u77), _u76)), _u75)) )).
% 57.32/57.51 cnf(fact_notin__Lin__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u75), c_Arrow__Order__Mirabelle_OLin)) | ( _u76 = _u77) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u77), _u76)), _u75)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u76), _u77)), _u75)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_eq__mem__trans-1, axiom, ( ( _u78 != _u79) | ~hBOOL(hAPP(hAPP(c_member(_u80), _u79), _u81)) | hBOOL(hAPP(hAPP(c_member(_u80), _u78), _u81)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u82 != _u83) | ~hBOOL(hAPP(hAPP(c_member(_u84), _u82), _u85)) | hBOOL(hAPP(hAPP(c_member(_u84), _u83), _u85)) )).
% 57.32/57.51 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u82 != _u83) | ~hBOOL(hAPP(hAPP(c_member(_u84), _u83), _u85)) | hBOOL(hAPP(hAPP(c_member(_u84), _u82), _u85)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u86 != _u87) | ~hBOOL(hAPP(hAPP(c_member(_u88), _u89), _u86)) | hBOOL(hAPP(hAPP(c_member(_u88), _u89), _u87)) )).
% 57.32/57.51 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u86 != _u87) | ~hBOOL(hAPP(hAPP(c_member(_u88), _u89), _u87)) | hBOOL(hAPP(hAPP(c_member(_u88), _u89), _u86)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u97, _u95)) | ~hBOOL(hAPP(hAPP(c_member(_u93), _u95), _u97)) )).
% 57.32/57.51 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u98, _u96)) | hBOOL(hAPP(hAPP(c_member(_u94), _u96), _u98)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact__096Q_A_058_AProf_096 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact__096Q_A_058_AProf_096-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_Q____), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_in__below ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_in__below-1, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 != _u103) )).
% 57.32/57.51 cnf(fact_in__below-2, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u103 != _u99) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) )).
% 57.32/57.51 cnf(fact_in__below-3, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u103 = _u99) | ( _u102 != _u99) | ( _u103 = _u100) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u100), _u103)), _u101)) )).
% 57.32/57.51 cnf(fact_in__below-4, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u103 = _u99) | ( _u102 = _u99) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) )).
% 57.32/57.51 cnf(fact_in__below-5, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ( _u103 = _u99) | ( _u102 = _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) )).
% 57.32/57.51 cnf(fact_in__below-6, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ( _u103 = _u99) | ( _u102 != _u99) | ( _u103 != _u100) )).
% 57.32/57.51 cnf(fact_in__below-7, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ( _u103 = _u99) | ( _u102 != _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u100), _u103)), _u101)) )).
% 57.32/57.51 cnf(fact_in__below-8, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ( _u103 = _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) | ( _u103 != _u100) )).
% 57.32/57.51 cnf(fact_in__below-9, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ( _u103 = _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u100), _u103)), _u101)) )).
% 57.32/57.51 cnf(fact_in__below-10, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ( _u103 != _u99) )).
% 57.32/57.51 cnf(fact_in__below-11, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ( _u102 = _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) )).
% 57.32/57.51 cnf(fact_in__below-12, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ( _u102 != _u99) | ( _u103 != _u100) )).
% 57.32/57.51 cnf(fact_in__below-13, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ( _u102 != _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u100), _u103)), _u101)) )).
% 57.32/57.51 cnf(fact_in__below-14, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) | ( _u103 != _u100) )).
% 57.32/57.51 cnf(fact_in__below-15, axiom, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u100), _u103)), _u101)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_in__above ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_in__above-1, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 != _u108) )).
% 57.32/57.51 cnf(fact_in__above-2, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 != _u105) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) )).
% 57.32/57.51 cnf(fact_in__above-3, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u105) | ( _u108 != _u105) | ( _u107 = _u104) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u104)), _u106)) )).
% 57.32/57.51 cnf(fact_in__above-4, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u105) | ( _u108 = _u105) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) )).
% 57.32/57.51 cnf(fact_in__above-5, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ( _u107 = _u105) | ( _u108 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) )).
% 57.32/57.51 cnf(fact_in__above-6, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ( _u107 = _u105) | ( _u108 != _u105) | ( _u107 != _u104) )).
% 57.32/57.51 cnf(fact_in__above-7, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ( _u107 = _u105) | ( _u108 != _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u104)), _u106)) )).
% 57.32/57.51 cnf(fact_in__above-8, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ( _u107 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) | ( _u107 != _u104) )).
% 57.32/57.51 cnf(fact_in__above-9, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ( _u107 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u104)), _u106)) )).
% 57.32/57.51 cnf(fact_in__above-10, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ( _u107 != _u105) )).
% 57.32/57.51 cnf(fact_in__above-11, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ( _u108 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) )).
% 57.32/57.51 cnf(fact_in__above-12, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ( _u108 != _u105) | ( _u107 != _u104) )).
% 57.32/57.51 cnf(fact_in__above-13, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ( _u108 != _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u104)), _u106)) )).
% 57.32/57.51 cnf(fact_in__above-14, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) | ( _u107 != _u104) )).
% 57.32/57.51 cnf(fact_in__above-15, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u104)), _u106)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_above__Lin ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_above__Lin-1, axiom, ( ( _u109 = _u110) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u111), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u111), _u109), _u110)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_below__Lin ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_below__Lin-1, axiom, ( ( _u112 = _u113) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u114), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Obelow(_u114, _u112, _u113)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Q__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Q__def-1, axiom, ( ( hAPP(v_Q____, _u115) = c_HOL_OLet(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(hAPP(c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(hAPP(c_fequal, v_a____), v_a_H____)), hAPP(v_P____, _u115)), c_Arrow__Order__Mirabelle_Obelow(hAPP(v_P____, _u115), v_a_H____, v_a____)), hAPP(hAPP(c_COMBS(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(hAPP(c_fequal, v_b____), v_b_H____))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), c_Arrow__Order__Mirabelle_Oabove), v_b____)), v_b_H____)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u124, _u126), tc_prod(_u124, _u126))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u124, _u126), tc_prod(_u124, _u126)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u126), _u128), _u130)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u126), _u132), _u134))), c_Wellfounded_Olex__prod(_u124, _u126, _u136, _u138))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u124, _u124)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u124), _u128), _u132)), _u136)) | ( _u128 = _u132) )).
% 57.32/57.51 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u124, _u126), tc_prod(_u124, _u126))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u124, _u126), tc_prod(_u124, _u126)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u126), _u128), _u130)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u126), _u132), _u134))), c_Wellfounded_Olex__prod(_u124, _u126, _u136, _u138))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u124, _u124)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u124), _u128), _u132)), _u136)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u126, _u126)), hAPP(hAPP(c_Product__Type_OPair(_u126, _u126), _u130), _u134)), _u138)) )).
% 57.32/57.51 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u125, _u127), tc_prod(_u125, _u127))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u125, _u127), tc_prod(_u125, _u127)), hAPP(hAPP(c_Product__Type_OPair(_u125, _u127), _u129), _u131)), hAPP(hAPP(c_Product__Type_OPair(_u125, _u127), _u133), _u135))), c_Wellfounded_Olex__prod(_u125, _u127, _u137, _u139))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u125, _u125)), hAPP(hAPP(c_Product__Type_OPair(_u125, _u125), _u129), _u133)), _u137)) )).
% 57.32/57.51 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u125, _u127), tc_prod(_u125, _u127))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u125, _u127), tc_prod(_u125, _u127)), hAPP(hAPP(c_Product__Type_OPair(_u125, _u127), _u129), _u131)), hAPP(hAPP(c_Product__Type_OPair(_u125, _u127), _u133), _u135))), c_Wellfounded_Olex__prod(_u125, _u127, _u137, _u139))) | ( _u129 != _u133) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u127, _u127)), hAPP(hAPP(c_Product__Type_OPair(_u127, _u127), _u131), _u135)), _u139)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_complete__Lin ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_complete__Lin-1, axiom, ( ( _u141 = _u142) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), skolem3(_u142, _u141)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.51 cnf(fact_complete__Lin-2, axiom, ( ( _u141 = _u142) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u141), _u142)), skolem3(_u142, _u141))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfrec__rel_Oequations ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfrec__rel_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u153, _u155, _u157, _u159, _u161), hAPP(hAPP(_u159, _u163), _u161))) | ( hAPP(hAPP(_u159, _u163), _u161) = hAPP(hAPP(_u159, skolem4(_u163, _u161, _u159, _u157, _u155, _u153)), _u161)) )).
% 57.32/57.51 cnf(fact_wfrec__rel_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u153, _u155, _u157, _u159, _u161), hAPP(hAPP(_u159, _u163), _u161))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u153, _u153)), hAPP(hAPP(c_Product__Type_OPair(_u153, _u153), _u143), _u161)), _u157)) | hBOOL(hAPP(c_Recdef_Owfrec__rel(_u153, _u155, _u157, _u159, _u143), hAPP(skolem4(_u163, _u161, _u159, _u157, _u155, _u153), _u143))) )).
% 57.32/57.51 cnf(fact_wfrec__rel_Oequations-3, axiom, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u154, _u156, _u158, _u160, _u162), hAPP(hAPP(_u160, _u164), _u162))) | ( hAPP(hAPP(_u160, _u164), _u162) != hAPP(hAPP(_u160, _u146), _u162)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u154, _u154)), hAPP(hAPP(c_Product__Type_OPair(_u154, _u154), skolem5(_u164, _u162, _u160, _u158, _u156, _u154, _u146)), _u162)), _u158)) )).
% 57.32/57.51 cnf(fact_wfrec__rel_Oequations-4, axiom, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u154, _u156, _u158, _u160, _u162), hAPP(hAPP(_u160, _u164), _u162))) | ( hAPP(hAPP(_u160, _u164), _u162) != hAPP(hAPP(_u160, _u146), _u162)) | ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u154, _u156, _u158, _u160, skolem5(_u164, _u162, _u160, _u158, _u156, _u154, _u146)), hAPP(_u146, skolem5(_u164, _u162, _u160, _u158, _u156, _u154, _u146)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_cut__apply ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_cut__apply-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u165, _u165)), hAPP(hAPP(c_Product__Type_OPair(_u165, _u165), _u166), _u167)), _u168)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u165, _u169), _u170), _u168), _u167), _u166) = hAPP(_u170, _u166)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_cuts__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_cuts__eq-1, axiom, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u179, _u181), _u183), _u185), _u187) != hAPP(hAPP(hAPP(c_Recdef_Ocut(_u179, _u181), _u189), _u185), _u187)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u179, _u179)), hAPP(hAPP(c_Product__Type_OPair(_u179, _u179), _u171), _u187)), _u185)) | ( hAPP(_u183, _u171) = hAPP(_u189, _u171)) )).
% 57.32/57.51 cnf(fact_cuts__eq-2, axiom, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u180, _u182), _u184), _u186), _u188) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_u180, _u182), _u190), _u186), _u188)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u180, _u180)), hAPP(hAPP(c_Product__Type_OPair(_u180, _u180), skolem6(_u190, _u188, _u186, _u184, _u182, _u180)), _u188)), _u186)) )).
% 57.32/57.51 cnf(fact_cuts__eq-3, axiom, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u180, _u182), _u184), _u186), _u188) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_u180, _u182), _u190), _u186), _u188)) | ( hAPP(_u184, skolem6(_u190, _u188, _u186, _u184, _u182, _u180)) != hAPP(_u190, skolem6(_u190, _u188, _u186, _u184, _u182, _u180))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_assms_I1_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_assms_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_F), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_const__Lin__Prof ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_const__Lin__Prof-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u191), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, _u191)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tfl__cut__apply ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tfl__cut__apply-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u194, _u194)), hAPP(hAPP(c_Product__Type_OPair(_u194, _u194), _u195), _u196)), _u192)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u194, _u197), _u193), _u192), _u196), _u195) = hAPP(_u193, _u195)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u206 = _u208) | ( hAPP(hAPP(c_COMBC(_u202, tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_fun(_u204, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u204, tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_fun(_u204, tc_HOL_Obool)), _u202, c_COMBC(_u204, tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u204, tc_prod(_u202, _u204)), tc_fun(_u204, tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), _u202, c_COMBB(tc_prod(_u202, _u204), tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool), _u204, c_member(tc_prod(_u202, _u204)))), c_Product__Type_OPair(_u202, _u204)))), _u206) != hAPP(hAPP(c_COMBC(_u202, tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_fun(_u204, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u204, tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_fun(_u204, tc_HOL_Obool)), _u202, c_COMBC(_u204, tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u204, tc_prod(_u202, _u204)), tc_fun(_u204, tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), _u202, c_COMBB(tc_prod(_u202, _u204), tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool), _u204, c_member(tc_prod(_u202, _u204)))), c_Product__Type_OPair(_u202, _u204)))), _u208)) )).
% 57.32/57.51 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u207 != _u209) | ( hAPP(hAPP(c_COMBC(_u203, tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_fun(_u205, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u205, tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_fun(_u205, tc_HOL_Obool)), _u203, c_COMBC(_u205, tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u205, tc_prod(_u203, _u205)), tc_fun(_u205, tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), _u203, c_COMBB(tc_prod(_u203, _u205), tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool), _u205, c_member(tc_prod(_u203, _u205)))), c_Product__Type_OPair(_u203, _u205)))), _u207) = hAPP(hAPP(c_COMBC(_u203, tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_fun(_u205, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u205, tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_fun(_u205, tc_HOL_Obool)), _u203, c_COMBC(_u205, tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u205, tc_prod(_u203, _u205)), tc_fun(_u205, tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), _u203, c_COMBB(tc_prod(_u203, _u205), tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool), _u205, c_member(tc_prod(_u203, _u205)))), c_Product__Type_OPair(_u203, _u205)))), _u209)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_unanimity__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_unanimity__def-1, axiom, ( ~c_Arrow__Order__Mirabelle_Ounanimity(_u219) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u213), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u212), _u211)), hAPP(_u213, skolem7(_u219, _u213, _u212, _u211)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u212), _u211)), hAPP(_u219, _u213))) )).
% 57.32/57.51 cnf(fact_unanimity__def-2, axiom, ( c_Arrow__Order__Mirabelle_Ounanimity(_u220) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), skolem8(_u220)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.51 cnf(fact_unanimity__def-3, axiom, ( c_Arrow__Order__Mirabelle_Ounanimity(_u220) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem9(_u220)), skolem10(_u220))), hAPP(skolem8(_u220), _u214))) )).
% 57.32/57.51 cnf(fact_unanimity__def-4, axiom, ( c_Arrow__Order__Mirabelle_Ounanimity(_u220) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem9(_u220)), skolem10(_u220))), hAPP(_u220, skolem8(_u220)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_IIA__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_IIA__def-1, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem11(_u236, _u225, _u224, _u223, _u222)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.51 cnf(fact_IIA__def-2, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem11(_u236, _u225, _u224, _u223, _u222)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.51 cnf(fact_IIA__def-3, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem11(_u236, _u225, _u224, _u223, _u222)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.51 cnf(fact_IIA__def-4, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem11(_u236, _u225, _u224, _u223, _u222)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.51 cnf(fact_IIA__def-5, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem11(_u236, _u225, _u224, _u223, _u222)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.51 cnf(fact_IIA__def-6, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem11(_u236, _u225, _u224, _u223, _u222)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.51 cnf(fact_IIA__def-7, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem11(_u236, _u225, _u224, _u223, _u222)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.51 cnf(fact_IIA__def-8, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem11(_u236, _u225, _u224, _u223, _u222)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.51 cnf(fact_IIA__def-9, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), skolem13(_u237)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.51 cnf(fact_IIA__def-10, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), skolem14(_u237)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.51 cnf(fact_IIA__def-11, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(skolem13(_u237), _u234))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(skolem14(_u237), _u234))) )).
% 57.32/57.51 cnf(fact_IIA__def-12, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(skolem14(_u237), _u235))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(skolem13(_u237), _u235))) )).
% 57.32/57.51 cnf(fact_IIA__def-13, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(_u237, skolem13(_u237)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(_u237, skolem14(_u237)))) )).
% 57.32/57.51 cnf(fact_IIA__def-14, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(_u237, skolem14(_u237)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(_u237, skolem13(_u237)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_adm__lemma ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_adm__lemma-1, axiom, ( c_Recdef_Oadm__wf(_u238, _u239, _u240, hAPP(hAPP(c_COMBC(tc_fun(_u238, _u239), tc_fun(_u238, _u238), tc_fun(_u238, _u239)), hAPP(c_COMBB(tc_fun(_u238, tc_fun(_u238, _u239)), tc_fun(tc_fun(_u238, _u238), tc_fun(_u238, _u239)), tc_fun(_u238, _u239), c_COMBS(_u238, _u238, _u239)), hAPP(c_COMBB(tc_fun(_u238, tc_fun(_u238, _u239)), tc_fun(_u238, tc_fun(_u238, _u239)), tc_fun(_u238, _u239), c_COMBB(tc_fun(_u238, _u239), tc_fun(_u238, _u239), _u238, _u241)), hAPP(hAPP(c_COMBC(tc_fun(_u238, _u239), tc_fun(tc_prod(_u238, _u238), tc_HOL_Obool), tc_fun(_u238, tc_fun(_u238, _u239))), c_Recdef_Ocut(_u238, _u239)), _u240)))), c_COMBI(_u238))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_dictator__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_dictator__def-1, axiom, ( ~c_Arrow__Order__Mirabelle_Odictator(_u246, _u248) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u242), c_Arrow__Order__Mirabelle_OProf)) | ( hAPP(_u246, _u242) = hAPP(_u242, _u248)) )).
% 57.32/57.51 cnf(fact_dictator__def-2, axiom, ( c_Arrow__Order__Mirabelle_Odictator(_u247, _u249) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), skolem17(_u249, _u247)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.51 cnf(fact_dictator__def-3, axiom, ( c_Arrow__Order__Mirabelle_Odictator(_u247, _u249) | ( hAPP(_u247, skolem17(_u249, _u247)) != hAPP(skolem17(_u249, _u247), _u249)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_cut__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_cut__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u256, _u256)), hAPP(hAPP(c_Product__Type_OPair(_u256, _u256), _u258), _u260)), _u262)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u256, _u264), _u266), _u262), _u260), _u258) = hAPP(_u266, _u258)) )).
% 57.32/57.51 cnf(fact_cut__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u257, _u257)), hAPP(hAPP(c_Product__Type_OPair(_u257, _u257), _u259), _u261)), _u263)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u257, _u265), _u267), _u263), _u261), _u259) = c_HOL_Oundefined(_u265)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_pred__equals__eq-1, axiom, ( ( _u273 = _u275) | ( hAPP(hAPP(c_COMBC(_u271, tc_fun(_u271, tc_HOL_Obool), tc_HOL_Obool), c_member(_u271)), _u273) != hAPP(hAPP(c_COMBC(_u271, tc_fun(_u271, tc_HOL_Obool), tc_HOL_Obool), c_member(_u271)), _u275)) )).
% 57.32/57.51 cnf(fact_pred__equals__eq-2, axiom, ( ( _u274 != _u276) | ( hAPP(hAPP(c_COMBC(_u272, tc_fun(_u272, tc_HOL_Obool), tc_HOL_Obool), c_member(_u272)), _u274) = hAPP(hAPP(c_COMBC(_u272, tc_fun(_u272, tc_HOL_Obool), tc_HOL_Obool), c_member(_u272)), _u276)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfrec__rel_Osimps ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfrec__rel_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u287, _u289, _u291, _u293, _u295), _u297)) | ( _u297 = hAPP(hAPP(_u293, skolem18(_u297, _u295, _u293, _u291, _u289, _u287)), _u295)) )).
% 57.32/57.51 cnf(fact_wfrec__rel_Osimps-2, axiom, ( ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u287, _u289, _u291, _u293, _u295), _u297)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u287, _u287)), hAPP(hAPP(c_Product__Type_OPair(_u287, _u287), _u277), _u295)), _u291)) | hBOOL(hAPP(c_Recdef_Owfrec__rel(_u287, _u289, _u291, _u293, _u277), hAPP(skolem18(_u297, _u295, _u293, _u291, _u289, _u287), _u277))) )).
% 57.32/57.51 cnf(fact_wfrec__rel_Osimps-3, axiom, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u288, _u290, _u292, _u294, _u296), _u298)) | ( _u298 != hAPP(hAPP(_u294, _u280), _u296)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u288, _u288)), hAPP(hAPP(c_Product__Type_OPair(_u288, _u288), skolem19(_u298, _u296, _u294, _u292, _u290, _u288, _u280)), _u296)), _u292)) )).
% 57.32/57.51 cnf(fact_wfrec__rel_Osimps-4, axiom, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u288, _u290, _u292, _u294, _u296), _u298)) | ( _u298 != hAPP(hAPP(_u294, _u280), _u296)) | ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u288, _u290, _u292, _u294, skolem19(_u298, _u296, _u294, _u292, _u290, _u288, _u280)), hAPP(_u280, skolem19(_u298, _u296, _u294, _u292, _u290, _u288, _u280)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfrec__rel_Ointros ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfrec__rel_Ointros-1, axiom, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u300, _u303, _u302, _u304, _u301), hAPP(hAPP(_u304, _u305), _u301))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u300, _u300)), hAPP(hAPP(c_Product__Type_OPair(_u300, _u300), skolem20(_u305, _u304, _u303, _u302, _u301, _u300)), _u301)), _u302)) )).
% 57.32/57.51 cnf(fact_wfrec__rel_Ointros-2, axiom, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u300, _u303, _u302, _u304, _u301), hAPP(hAPP(_u304, _u305), _u301))) | ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u300, _u303, _u302, _u304, skolem20(_u305, _u304, _u303, _u302, _u301, _u300)), hAPP(_u305, skolem20(_u305, _u304, _u303, _u302, _u301, _u300)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u311), _u313), c_Wellfounded_Oacc(_u311, _u315))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u311, _u311)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u311), _u306), _u313)), _u315)) | hBOOL(hAPP(hAPP(c_member(_u311), _u306), c_Wellfounded_Oacc(_u311, _u315))) )).
% 57.32/57.51 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u312), _u314), c_Wellfounded_Oacc(_u312, _u316))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u312, _u312)), hAPP(hAPP(c_Product__Type_OPair(_u312, _u312), skolem21(_u316, _u314, _u312)), _u314)), _u316)) )).
% 57.32/57.51 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u312), _u314), c_Wellfounded_Oacc(_u312, _u316))) | ~hBOOL(hAPP(hAPP(c_member(_u312), skolem21(_u316, _u314, _u312)), c_Wellfounded_Oacc(_u312, _u316))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_eq__mem-1, axiom, ( ( _u322 = _u324) | ~hBOOL(hAPP(hAPP(c_member(_u320), _u322), hAPP(c_fequal, _u324))) )).
% 57.32/57.51 cnf(fact_eq__mem-2, axiom, ( ( _u323 != _u325) | hBOOL(hAPP(hAPP(c_member(_u321), _u323), hAPP(c_fequal, _u325))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u326), _u327), c_Wellfounded_Oacc(_u326, _u328))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u326, _u326)), hAPP(hAPP(c_Product__Type_OPair(_u326, _u326), _u329), _u327)), _u328)) | hBOOL(hAPP(hAPP(c_member(_u326), _u329), c_Wellfounded_Oacc(_u326, _u328))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_PiE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_PiE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u330, _u331)), _u332), c_FuncSet_OPi(_u330, _u331, _u333, _u334))) | hBOOL(hAPP(hAPP(c_member(_u331), hAPP(_u332, _u335)), hAPP(_u334, _u335))) | ~hBOOL(hAPP(hAPP(c_member(_u330), _u335), _u333)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_dictatorI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_dictatorI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u339), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))) | c_Arrow__Order__Mirabelle_Odictator(_u339, _u340) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), skolem22(_u340, _u339)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.51 cnf(fact_dictatorI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u339), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))) | c_Arrow__Order__Mirabelle_Odictator(_u339, _u340) | ( skolem23(_u340, _u339) != skolem24(_u340, _u339)) )).
% 57.32/57.51 cnf(fact_dictatorI-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u339), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))) | c_Arrow__Order__Mirabelle_Odictator(_u339, _u340) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem23(_u340, _u339)), skolem24(_u340, _u339))), hAPP(skolem22(_u340, _u339), _u340))) )).
% 57.32/57.51 cnf(fact_dictatorI-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u339), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))) | c_Arrow__Order__Mirabelle_Odictator(_u339, _u340) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem23(_u340, _u339)), skolem24(_u340, _u339))), hAPP(_u339, skolem22(_u340, _u339)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_funcset__mem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_funcset__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u341, _u342)), _u343), c_FuncSet_OPi(_u341, _u342, _u344, c_COMBK(tc_fun(_u342, tc_HOL_Obool), _u341, _u345)))) | ~hBOOL(hAPP(hAPP(c_member(_u341), _u346), _u344)) | hBOOL(hAPP(hAPP(c_member(_u342), hAPP(_u343, _u346)), _u345)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Pi__mem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Pi__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u347, _u348)), _u349), c_FuncSet_OPi(_u347, _u348, _u350, _u351))) | ~hBOOL(hAPP(hAPP(c_member(_u347), _u352), _u350)) | hBOOL(hAPP(hAPP(c_member(_u348), hAPP(_u349, _u352)), hAPP(_u351, _u352))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_funcset__id ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_funcset__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u353, _u353)), c_COMBI(_u353)), c_FuncSet_OPi(_u353, _u353, _u354, c_COMBK(tc_fun(_u353, tc_HOL_Obool), _u353, _u354)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u358, hAPP(hAPP(c_COMBC(_u358, tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_fun(_u358, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u358, tc_fun(tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_fun(_u358, tc_HOL_Obool)), _u358, c_COMBC(_u358, tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u358, tc_prod(_u358, _u358)), tc_fun(_u358, tc_fun(tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_HOL_Obool)), _u358, c_COMBB(tc_prod(_u358, _u358), tc_fun(tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_HOL_Obool), _u358, c_member(tc_prod(_u358, _u358)))), c_Product__Type_OPair(_u358, _u358)))), _u360)), _u362)) | hBOOL(hAPP(hAPP(c_member(_u358), _u362), c_Wellfounded_Oacc(_u358, _u360))) )).
% 57.32/57.51 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u359), _u363), c_Wellfounded_Oacc(_u359, _u361))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u359, hAPP(hAPP(c_COMBC(_u359, tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_fun(_u359, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u359, tc_fun(tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_fun(_u359, tc_HOL_Obool)), _u359, c_COMBC(_u359, tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u359, tc_prod(_u359, _u359)), tc_fun(_u359, tc_fun(tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_HOL_Obool)), _u359, c_COMBB(tc_prod(_u359, _u359), tc_fun(tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_HOL_Obool), _u359, c_member(tc_prod(_u359, _u359)))), c_Product__Type_OPair(_u359, _u359)))), _u361)), _u363)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u365), _u366), c_Wellfounded_Oacc(_u365, _u367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u365, _u365)), hAPP(hAPP(c_Product__Type_OPair(_u365, _u365), skolem25(_u367, _u366, _u365)), _u366)), _u367)) )).
% 57.32/57.51 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u365), _u366), c_Wellfounded_Oacc(_u365, _u367))) | ~hBOOL(hAPP(hAPP(c_member(_u365), skolem25(_u367, _u366, _u365)), c_Wellfounded_Oacc(_u365, _u367))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u369), _u370), c_Wellfounded_Oacc(_u369, _u371))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u369, _u369)), hAPP(hAPP(c_Product__Type_OPair(_u369, _u369), skolem26(_u371, _u370, _u369)), _u370)), _u371)) )).
% 57.32/57.51 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u369), _u370), c_Wellfounded_Oacc(_u369, _u371))) | ~hBOOL(hAPP(hAPP(c_member(_u369), skolem26(_u371, _u370, _u369)), c_Wellfounded_Oacc(_u369, _u371))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_adm__wf__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_adm__wf__def-1, axiom, ( ~c_Recdef_Oadm__wf(_u384, _u386, _u388, _u390) | ( hAPP(hAPP(_u390, _u375), _u373) = hAPP(hAPP(_u390, _u374), _u373)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u384, _u384)), hAPP(hAPP(c_Product__Type_OPair(_u384, _u384), skolem27(_u390, _u388, _u386, _u384, _u375, _u374, _u373)), _u373)), _u388)) )).
% 57.32/57.51 cnf(fact_adm__wf__def-2, axiom, ( ~c_Recdef_Oadm__wf(_u384, _u386, _u388, _u390) | ( hAPP(hAPP(_u390, _u375), _u373) = hAPP(hAPP(_u390, _u374), _u373)) | ( hAPP(_u375, skolem27(_u390, _u388, _u386, _u384, _u375, _u374, _u373)) != hAPP(_u374, skolem27(_u390, _u388, _u386, _u384, _u375, _u374, _u373))) )).
% 57.32/57.51 cnf(fact_adm__wf__def-3, axiom, ( c_Recdef_Oadm__wf(_u385, _u387, _u389, _u391) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u385, _u385)), hAPP(hAPP(c_Product__Type_OPair(_u385, _u385), _u376), skolem30(_u391, _u389, _u387, _u385))), _u389)) | ( hAPP(skolem28(_u391, _u389, _u387, _u385), _u376) = hAPP(skolem29(_u391, _u389, _u387, _u385), _u376)) )).
% 57.32/57.51 cnf(fact_adm__wf__def-4, axiom, ( c_Recdef_Oadm__wf(_u385, _u387, _u389, _u391) | ( hAPP(hAPP(_u391, skolem28(_u391, _u389, _u387, _u385)), skolem30(_u391, _u389, _u387, _u385)) != hAPP(hAPP(_u391, skolem29(_u391, _u389, _u387, _u385)), skolem30(_u391, _u389, _u387, _u385))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u397, _u399), _u401)) | ~hBOOL(hAPP(hAPP(_u399, _u392), _u401)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u397, _u399), _u392)) )).
% 57.32/57.51 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u398, _u400), _u402)) | hBOOL(hAPP(hAPP(_u400, skolem31(_u402, _u400, _u398)), _u402)) )).
% 57.32/57.51 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u398, _u400), _u402)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u398, _u400), skolem31(_u402, _u400, _u398))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u408, _u410), _u412)) | ~hBOOL(hAPP(hAPP(_u410, _u403), _u412)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u408, _u410), _u403)) )).
% 57.32/57.51 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u409, _u411), _u413)) | hBOOL(hAPP(hAPP(_u411, skolem32(_u413, _u411, _u409)), _u413)) )).
% 57.32/57.51 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u409, _u411), _u413)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u409, _u411), skolem32(_u413, _u411, _u409))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u414, _u415), _u416)) | ~hBOOL(hAPP(hAPP(_u415, _u417), _u416)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u414, _u415), _u417)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensional__arb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensional__arb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u418, _u419)), _u420), c_FuncSet_Oextensional(_u418, _u419, _u421))) | hBOOL(hAPP(hAPP(c_member(_u418), _u422), _u421)) | ( hAPP(_u420, _u422) = c_HOL_Oundefined(_u419)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Pi__I ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Pi__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u424, _u426)), _u427), c_FuncSet_OPi(_u424, _u426, _u425, _u428))) | hBOOL(hAPP(hAPP(c_member(_u424), skolem33(_u428, _u427, _u426, _u425, _u424)), _u425)) )).
% 57.32/57.51 cnf(fact_Pi__I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u424, _u426)), _u427), c_FuncSet_OPi(_u424, _u426, _u425, _u428))) | ~hBOOL(hAPP(hAPP(c_member(_u426), hAPP(_u427, skolem33(_u428, _u427, _u426, _u425, _u424))), hAPP(_u428, skolem33(_u428, _u427, _u426, _u425, _u424)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_funcsetI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_funcsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u430, _u432)), _u433), c_FuncSet_OPi(_u430, _u432, _u431, c_COMBK(tc_fun(_u432, tc_HOL_Obool), _u430, _u434)))) | hBOOL(hAPP(hAPP(c_member(_u430), skolem34(_u434, _u433, _u432, _u431, _u430)), _u431)) )).
% 57.32/57.51 cnf(fact_funcsetI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u430, _u432)), _u433), c_FuncSet_OPi(_u430, _u432, _u431, c_COMBK(tc_fun(_u432, tc_HOL_Obool), _u430, _u434)))) | ~hBOOL(hAPP(hAPP(c_member(_u432), hAPP(_u433, skolem34(_u434, _u433, _u432, _u431, _u430))), _u434)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensional__funcset__arb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensional__funcset__arb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u435, _u436)), _u437), c_FuncSet_Oextensional__funcset(_u435, _u436, _u438, _u439))) | hBOOL(hAPP(hAPP(c_member(_u435), _u440), _u438)) | ( hAPP(_u437, _u440) = c_HOL_Oundefined(_u436)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Pi__cong ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Pi__cong-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u442), skolem35(_u447, _u446, _u445, _u444, _u443, _u442)), _u443)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u444), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u445), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) )).
% 57.32/57.51 cnf(fact_Pi__cong-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u442), skolem35(_u447, _u446, _u445, _u444, _u443, _u442)), _u443)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u445), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u444), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) )).
% 57.32/57.51 cnf(fact_Pi__cong-3, axiom, ( ( hAPP(_u444, skolem35(_u447, _u446, _u445, _u444, _u443, _u442)) != hAPP(_u445, skolem35(_u447, _u446, _u445, _u444, _u443, _u442))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u444), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u445), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) )).
% 57.32/57.51 cnf(fact_Pi__cong-4, axiom, ( ( hAPP(_u444, skolem35(_u447, _u446, _u445, _u444, _u443, _u442)) != hAPP(_u445, skolem35(_u447, _u446, _u445, _u444, _u443, _u442))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u445), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u444), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Pi__I_H ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Pi__I_H-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u449, _u451)), _u452), c_FuncSet_OPi(_u449, _u451, _u450, _u453))) | hBOOL(hAPP(hAPP(c_member(_u449), skolem36(_u453, _u452, _u451, _u450, _u449)), _u450)) )).
% 57.32/57.51 cnf(fact_Pi__I_H-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u449, _u451)), _u452), c_FuncSet_OPi(_u449, _u451, _u450, _u453))) | ~hBOOL(hAPP(hAPP(c_member(_u451), hAPP(_u452, skolem36(_u453, _u452, _u451, _u450, _u449))), hAPP(_u453, skolem36(_u453, _u452, _u451, _u450, _u449)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_funcset__compose ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_funcset__compose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u454, _u455)), _u456), c_FuncSet_OPi(_u454, _u455, _u457, c_COMBK(tc_fun(_u455, tc_HOL_Obool), _u454, _u458)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u455, _u459)), _u460), c_FuncSet_OPi(_u455, _u459, _u458, c_COMBK(tc_fun(_u459, tc_HOL_Obool), _u455, _u461)))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u454, _u459)), c_FuncSet_Ocompose(_u454, _u455, _u459, _u457, _u460, _u456)), c_FuncSet_OPi(_u454, _u459, _u457, c_COMBK(tc_fun(_u459, tc_HOL_Obool), _u454, _u461)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_compose__assoc ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_compose__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u462, _u463)), _u464), c_FuncSet_OPi(_u462, _u463, _u465, c_COMBK(tc_fun(_u463, tc_HOL_Obool), _u462, _u466)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u463, _u467)), _u468), c_FuncSet_OPi(_u463, _u467, _u466, c_COMBK(tc_fun(_u467, tc_HOL_Obool), _u463, _u469)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u467, _u470)), _u471), c_FuncSet_OPi(_u467, _u470, _u469, c_COMBK(tc_fun(_u470, tc_HOL_Obool), _u467, _u472)))) | ( c_FuncSet_Ocompose(_u462, _u467, _u470, _u465, _u471, c_FuncSet_Ocompose(_u462, _u463, _u467, _u465, _u468, _u464)) = c_FuncSet_Ocompose(_u462, _u463, _u470, _u465, c_FuncSet_Ocompose(_u463, _u467, _u470, _u466, _u471, _u468), _u464)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u473), _u474), c_Wellfounded_Oacc(_u473, _u475))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u473, _u473)), hAPP(hAPP(c_Product__Type_OPair(_u473, _u473), _u476), _u474)), c_Transitive__Closure_Ortrancl(_u473, _u475))) | hBOOL(hAPP(hAPP(c_member(_u473), _u476), c_Wellfounded_Oacc(_u473, _u475))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_compose__extensional ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_compose__extensional-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u477, _u478)), c_FuncSet_Ocompose(_u477, _u479, _u478, _u480, _u481, _u482)), c_FuncSet_Oextensional(_u477, _u478, _u480))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_compose__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_compose__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u483), _u484), _u485)) | ( hAPP(c_FuncSet_Ocompose(_u483, _u486, _u487, _u485, _u488, _u489), _u484) = hAPP(_u488, hAPP(_u489, _u484))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensional__funcset__mem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensional__funcset__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u491)), _u492), c_FuncSet_Oextensional__funcset(_u490, _u491, _u493, _u494))) | ~hBOOL(hAPP(hAPP(c_member(_u490), _u495), _u493)) | hBOOL(hAPP(hAPP(c_member(_u491), hAPP(_u492, _u495)), _u494)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u496, _u496)), hAPP(hAPP(c_Product__Type_OPair(_u496, _u496), _u497), _u498)), c_Transitive__Closure_Ortrancl(_u496, _u499))) | ~hBOOL(hAPP(hAPP(c_member(_u496), _u498), c_Wellfounded_Oacc(_u496, _u499))) | hBOOL(hAPP(hAPP(c_member(_u496), _u497), c_Wellfounded_Oacc(_u496, _u499))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u500, _u500)), hAPP(hAPP(c_Product__Type_OPair(_u500, _u500), _u501), _u501)), c_Transitive__Closure_Ortrancl(_u500, _u502))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u503, _u503)), _u504), _u505)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u503, _u503)), _u504), c_Transitive__Closure_Ortrancl(_u503, _u505))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u506, _u506)), hAPP(hAPP(c_Product__Type_OPair(_u506, _u506), _u507), _u508)), c_Transitive__Closure_Ortrancl(_u506, _u509))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u506, _u506)), hAPP(hAPP(c_Product__Type_OPair(_u506, _u506), _u508), _u510)), c_Transitive__Closure_Ortrancl(_u506, _u509))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u506, _u506)), hAPP(hAPP(c_Product__Type_OPair(_u506, _u506), _u507), _u510)), c_Transitive__Closure_Ortrancl(_u506, _u509))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u511, _u511)), hAPP(hAPP(c_Product__Type_OPair(_u511, _u511), _u512), _u513)), c_Transitive__Closure_Ortrancl(_u511, _u514))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u511, _u511)), hAPP(hAPP(c_Product__Type_OPair(_u511, _u511), _u513), _u515)), _u514)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u511, _u511)), hAPP(hAPP(c_Product__Type_OPair(_u511, _u511), _u512), _u515)), c_Transitive__Closure_Ortrancl(_u511, _u514))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u516, _u516)), hAPP(hAPP(c_Product__Type_OPair(_u516, _u516), _u517), _u518)), _u519)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u516, _u516)), hAPP(hAPP(c_Product__Type_OPair(_u516, _u516), _u518), _u520)), c_Transitive__Closure_Ortrancl(_u516, _u519))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u516, _u516)), hAPP(hAPP(c_Product__Type_OPair(_u516, _u516), _u517), _u520)), c_Transitive__Closure_Ortrancl(_u516, _u519))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_compose__Id ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_compose__Id-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u521, _u522)), _u523), c_FuncSet_OPi(_u521, _u522, _u524, c_COMBK(tc_fun(_u522, tc_HOL_Obool), _u521, _u525)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u521, _u522)), _u523), c_FuncSet_Oextensional(_u521, _u522, _u524))) | ( c_FuncSet_Ocompose(_u521, _u521, _u522, _u524, _u523, c_FuncSet_Orestrict(_u521, _u521, c_COMBI(_u521), _u524)) = _u523) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Id__compose ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Id__compose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u526, _u527)), _u528), c_FuncSet_OPi(_u526, _u527, _u529, c_COMBK(tc_fun(_u527, tc_HOL_Obool), _u526, _u530)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u526, _u527)), _u528), c_FuncSet_Oextensional(_u526, _u527, _u529))) | ( c_FuncSet_Ocompose(_u526, _u527, _u527, _u529, c_FuncSet_Orestrict(_u527, _u527, c_COMBI(_u527), _u530), _u528) = _u528) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensionalityI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensionalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u532, _u533)), _u534), c_FuncSet_Oextensional(_u532, _u533, _u535))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u532, _u533)), _u536), c_FuncSet_Oextensional(_u532, _u533, _u535))) | ( _u534 = _u536) | hBOOL(hAPP(hAPP(c_member(_u532), skolem37(_u536, _u535, _u534, _u533, _u532)), _u535)) )).
% 57.32/57.51 cnf(fact_extensionalityI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u532, _u533)), _u534), c_FuncSet_Oextensional(_u532, _u533, _u535))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u532, _u533)), _u536), c_FuncSet_Oextensional(_u532, _u533, _u535))) | ( _u534 = _u536) | ( hAPP(_u534, skolem37(_u536, _u535, _u534, _u533, _u532)) != hAPP(_u536, skolem37(_u536, _u535, _u534, _u533, _u532))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_compose__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_compose__def-1, axiom, ( ( c_FuncSet_Ocompose(_u537, _u538, _u539, _u540, _u541, _u542) = c_FuncSet_Orestrict(_u537, _u539, hAPP(c_COMBB(_u538, _u539, _u537, _u541), _u542), _u540)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_restrict__extensional ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_restrict__extensional-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u543, _u544)), c_FuncSet_Orestrict(_u543, _u544, _u545, _u546)), c_FuncSet_Oextensional(_u543, _u544, _u546))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensional__restrict ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensional__restrict-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u547, _u548)), _u549), c_FuncSet_Oextensional(_u547, _u548, _u550))) | ( c_FuncSet_Orestrict(_u547, _u548, _u549, _u550) = _u549) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_restrict__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_restrict__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u556), _u558), _u560)) | ( hAPP(c_FuncSet_Orestrict(_u556, _u562, _u564, _u560), _u558) = hAPP(_u564, _u558)) )).
% 57.32/57.51 cnf(fact_restrict__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u557), _u559), _u561)) | ( hAPP(c_FuncSet_Orestrict(_u557, _u563, _u565, _u561), _u559) = c_HOL_Oundefined(_u563)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_restrict__apply ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_restrict__apply-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u571), _u573), _u575)) | ( hAPP(c_FuncSet_Orestrict(_u571, _u577, _u579, _u575), _u573) = hAPP(_u579, _u573)) )).
% 57.32/57.51 cnf(fact_restrict__apply-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u572), _u574), _u576)) | ( hAPP(c_FuncSet_Orestrict(_u572, _u578, _u580, _u576), _u574) = c_HOL_Oundefined(_u578)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u581, c_Transitive__Closure_Ortrancl(_u581, _u582)) = c_Transitive__Closure_Ortrancl(_u581, _u582)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_restrictI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_restrictI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u584, _u586)), c_FuncSet_Orestrict(_u584, _u586, _u587, _u585)), c_FuncSet_OPi(_u584, _u586, _u585, _u588))) | hBOOL(hAPP(hAPP(c_member(_u584), skolem38(_u588, _u587, _u586, _u585, _u584)), _u585)) )).
% 57.32/57.51 cnf(fact_restrictI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u584, _u586)), c_FuncSet_Orestrict(_u584, _u586, _u587, _u585)), c_FuncSet_OPi(_u584, _u586, _u585, _u588))) | ~hBOOL(hAPP(hAPP(c_member(_u586), hAPP(_u587, skolem38(_u588, _u587, _u586, _u585, _u584))), hAPP(_u588, skolem38(_u588, _u587, _u586, _u585, _u584)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_restrict__in__funcset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_restrict__in__funcset-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u590, _u592)), c_FuncSet_Orestrict(_u590, _u592, _u593, _u591)), c_FuncSet_OPi(_u590, _u592, _u591, c_COMBK(tc_fun(_u592, tc_HOL_Obool), _u590, _u594)))) | hBOOL(hAPP(hAPP(c_member(_u590), skolem39(_u594, _u593, _u592, _u591, _u590)), _u591)) )).
% 57.32/57.51 cnf(fact_restrict__in__funcset-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u590, _u592)), c_FuncSet_Orestrict(_u590, _u592, _u593, _u591)), c_FuncSet_OPi(_u590, _u592, _u591, c_COMBK(tc_fun(_u592, tc_HOL_Obool), _u590, _u594)))) | ~hBOOL(hAPP(hAPP(c_member(_u592), hAPP(_u593, skolem39(_u594, _u593, _u592, _u591, _u590))), _u594)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u595, _u595, _u596) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u595, _u595)), hAPP(hAPP(c_Product__Type_OPair(_u595, _u595), _u597), _u598)), c_Transitive__Closure_Ortrancl(_u595, _u596))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u595, _u595)), hAPP(hAPP(c_Product__Type_OPair(_u595, _u595), _u597), _u599)), c_Transitive__Closure_Ortrancl(_u595, _u596))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u595, _u595)), hAPP(hAPP(c_Product__Type_OPair(_u595, _u595), _u598), _u599)), c_Transitive__Closure_Ortrancl(_u595, _u596))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u595, _u595)), hAPP(hAPP(c_Product__Type_OPair(_u595, _u595), _u599), _u598)), c_Transitive__Closure_Ortrancl(_u595, _u596))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u600), _u601), c_Relation_ODomain(_u600, _u600, _u602))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u600, _u600)), hAPP(hAPP(c_Product__Type_OPair(_u600, _u600), _u601), _u603)), c_Transitive__Closure_Ortrancl(_u600, _u602))) | ( _u601 = _u603) )).
% 57.32/57.51 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u600), _u601), c_Relation_ODomain(_u600, _u600, _u602))) | ( _u601 != _u603) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u600, _u600)), hAPP(hAPP(c_Product__Type_OPair(_u600, _u600), _u601), _u603)), c_Transitive__Closure_Ortrancl(_u600, _u602))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_converse__rtranclE2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_converse__rtranclE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u606, _u607), tc_prod(_u606, _u607))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u606, _u607), tc_prod(_u606, _u607)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u608), _u609)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u610), _u611))), c_Transitive__Closure_Ortrancl(tc_prod(_u606, _u607), _u612))) | ( hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u608), _u609) = hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u610), _u611)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u606, _u607), tc_prod(_u606, _u607))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u606, _u607), tc_prod(_u606, _u607)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u608), _u609)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), skolem40(_u612, _u611, _u610, _u609, _u608, _u607, _u606)), skolem41(_u612, _u611, _u610, _u609, _u608, _u607, _u606)))), _u612)) )).
% 57.32/57.51 cnf(fact_converse__rtranclE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u606, _u607), tc_prod(_u606, _u607))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u606, _u607), tc_prod(_u606, _u607)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u608), _u609)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u610), _u611))), c_Transitive__Closure_Ortrancl(tc_prod(_u606, _u607), _u612))) | ( hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u608), _u609) = hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u610), _u611)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u606, _u607), tc_prod(_u606, _u607))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u606, _u607), tc_prod(_u606, _u607)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), skolem40(_u612, _u611, _u610, _u609, _u608, _u607, _u606)), skolem41(_u612, _u611, _u610, _u609, _u608, _u607, _u606))), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u610), _u611))), c_Transitive__Closure_Ortrancl(tc_prod(_u606, _u607), _u612))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_converse__rtrancl__induct2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_converse__rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u619), _u620)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u621), _u622))), c_Transitive__Closure_Ortrancl(tc_prod(_u617, _u618), _u623))) | ~hBOOL(hAPP(hAPP(_u624, _u621), _u622)) | hBOOL(hAPP(hAPP(_u624, _u619), _u620)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), skolem42(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)), skolem43(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617))), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), skolem44(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)), skolem45(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)))), _u623)) )).
% 57.32/57.51 cnf(fact_converse__rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u619), _u620)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u621), _u622))), c_Transitive__Closure_Ortrancl(tc_prod(_u617, _u618), _u623))) | ~hBOOL(hAPP(hAPP(_u624, _u621), _u622)) | hBOOL(hAPP(hAPP(_u624, _u619), _u620)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), skolem44(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)), skolem45(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617))), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u621), _u622))), c_Transitive__Closure_Ortrancl(tc_prod(_u617, _u618), _u623))) )).
% 57.32/57.51 cnf(fact_converse__rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u619), _u620)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u621), _u622))), c_Transitive__Closure_Ortrancl(tc_prod(_u617, _u618), _u623))) | ~hBOOL(hAPP(hAPP(_u624, _u621), _u622)) | hBOOL(hAPP(hAPP(_u624, _u619), _u620)) | hBOOL(hAPP(hAPP(_u624, skolem44(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)), skolem45(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617))) )).
% 57.32/57.51 cnf(fact_converse__rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u619), _u620)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u621), _u622))), c_Transitive__Closure_Ortrancl(tc_prod(_u617, _u618), _u623))) | ~hBOOL(hAPP(hAPP(_u624, _u621), _u622)) | hBOOL(hAPP(hAPP(_u624, _u619), _u620)) | ~hBOOL(hAPP(hAPP(_u624, skolem42(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)), skolem43(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__induct2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u631), _u632)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u633), _u634))), c_Transitive__Closure_Ortrancl(tc_prod(_u629, _u630), _u635))) | ~hBOOL(hAPP(hAPP(_u636, _u631), _u632)) | hBOOL(hAPP(hAPP(_u636, _u633), _u634)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u631), _u632)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), skolem46(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)), skolem47(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)))), c_Transitive__Closure_Ortrancl(tc_prod(_u629, _u630), _u635))) )).
% 57.32/57.51 cnf(fact_rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u631), _u632)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u633), _u634))), c_Transitive__Closure_Ortrancl(tc_prod(_u629, _u630), _u635))) | ~hBOOL(hAPP(hAPP(_u636, _u631), _u632)) | hBOOL(hAPP(hAPP(_u636, _u633), _u634)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), skolem46(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)), skolem47(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629))), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), skolem48(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)), skolem49(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)))), _u635)) )).
% 57.32/57.51 cnf(fact_rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u631), _u632)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u633), _u634))), c_Transitive__Closure_Ortrancl(tc_prod(_u629, _u630), _u635))) | ~hBOOL(hAPP(hAPP(_u636, _u631), _u632)) | hBOOL(hAPP(hAPP(_u636, _u633), _u634)) | hBOOL(hAPP(hAPP(_u636, skolem46(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)), skolem47(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629))) )).
% 57.32/57.51 cnf(fact_rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u631), _u632)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u633), _u634))), c_Transitive__Closure_Ortrancl(tc_prod(_u629, _u630), _u635))) | ~hBOOL(hAPP(hAPP(_u636, _u631), _u632)) | hBOOL(hAPP(hAPP(_u636, _u633), _u634)) | ~hBOOL(hAPP(hAPP(_u636, skolem48(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)), skolem49(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensional__funcset__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensional__funcset__def-1, axiom, ( ( c_FuncSet_Oextensional__funcset(_u637, _u638, _u639, _u640) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u637, _u638), tc_HOL_Obool)), c_FuncSet_OPi(_u637, _u638, _u639, c_COMBK(tc_fun(_u638, tc_HOL_Obool), _u637, _u640))), c_FuncSet_Oextensional(_u637, _u638, _u639))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u641, tc_HOL_Obool)), _u642), _u643), _u644)) | hBOOL(hAPP(_u642, _u644)) )).
% 57.32/57.51 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u641, tc_HOL_Obool)), _u642), _u643), _u644)) | hBOOL(hAPP(_u643, _u644)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u645, _u646)) | ~hBOOL(hAPP(_u647, _u646)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u648, tc_HOL_Obool)), _u645), _u647), _u646)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_IntE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u649), _u650), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u649, tc_HOL_Obool)), _u651), _u652))) | hBOOL(hAPP(hAPP(c_member(_u649), _u650), _u651)) )).
% 57.32/57.51 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u649), _u650), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u649, tc_HOL_Obool)), _u651), _u652))) | hBOOL(hAPP(hAPP(c_member(_u649), _u650), _u652)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_IntI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u653), _u654), _u655)) | ~hBOOL(hAPP(hAPP(c_member(_u653), _u654), _u656)) | hBOOL(hAPP(hAPP(c_member(_u653), _u654), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u653, tc_HOL_Obool)), _u655), _u656))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u657, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u657, tc_HOL_Obool)), _u658), _u659)), _u660) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u657, tc_HOL_Obool)), _u658), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u657, tc_HOL_Obool)), _u659), _u660))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u661, tc_HOL_Obool)), _u662), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u661, tc_HOL_Obool)), _u663), _u664)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u661, tc_HOL_Obool)), _u663), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u661, tc_HOL_Obool)), _u662), _u664))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u665, tc_HOL_Obool)), _u666), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u665, tc_HOL_Obool)), _u666), _u667)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u665, tc_HOL_Obool)), _u666), _u667)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u668, tc_HOL_Obool)), _u669), _u670) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u668, tc_HOL_Obool)), _u670), _u669)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u671, tc_HOL_Obool)), _u672), _u672) = _u672) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u675, _u676)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u673, tc_HOL_Obool)), _u674), _u675), _u676)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u678, _u680)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u677, tc_HOL_Obool)), _u678), _u679), _u680)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u681), _u682), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u681, tc_HOL_Obool)), _u683), _u684))) | hBOOL(hAPP(hAPP(c_member(_u681), _u682), _u684)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u685), _u686), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u685, tc_HOL_Obool)), _u687), _u688))) | hBOOL(hAPP(hAPP(c_member(_u685), _u686), _u687)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u693), _u695), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u693, tc_HOL_Obool)), _u697), _u699))) | hBOOL(hAPP(hAPP(c_member(_u693), _u695), _u697)) )).
% 57.32/57.51 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u693), _u695), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u693, tc_HOL_Obool)), _u697), _u699))) | hBOOL(hAPP(hAPP(c_member(_u693), _u695), _u699)) )).
% 57.32/57.51 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u694), _u696), _u698)) | ~hBOOL(hAPP(hAPP(c_member(_u694), _u696), _u700)) | hBOOL(hAPP(hAPP(c_member(_u694), _u696), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u694, tc_HOL_Obool)), _u698), _u700))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u705, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u705, tc_fun(_u705, tc_HOL_Obool), tc_HOL_Obool), c_member(_u705)), _u707)), hAPP(hAPP(c_COMBC(_u705, tc_fun(_u705, tc_HOL_Obool), tc_HOL_Obool), c_member(_u705)), _u709)), _u711)) | hBOOL(hAPP(hAPP(c_member(_u705), _u711), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u705, tc_HOL_Obool)), _u707), _u709))) )).
% 57.32/57.51 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u706), _u712), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u706, tc_HOL_Obool)), _u708), _u710))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u706, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u706, tc_fun(_u706, tc_HOL_Obool), tc_HOL_Obool), c_member(_u706)), _u708)), hAPP(hAPP(c_COMBC(_u706, tc_fun(_u706, tc_HOL_Obool), tc_HOL_Obool), c_member(_u706)), _u710)), _u712)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u713, _u714)), hAPP(hAPP(c_Product__Type_OPair(_u713, _u714), _u715), _u716)), _u717)) | hBOOL(hAPP(hAPP(c_member(_u713), _u715), c_Relation_ODomain(_u713, _u714, _u717))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u724), _u726), c_Relation_ODomain(_u724, _u728, _u730))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u724, _u728)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u728), _u726), skolem50(_u730, _u728, _u726, _u724))), _u730)) )).
% 57.32/57.51 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u725, _u729)), hAPP(hAPP(c_Product__Type_OPair(_u725, _u729), _u727), _u719)), _u731)) | hBOOL(hAPP(hAPP(c_member(_u725), _u727), c_Relation_ODomain(_u725, _u729, _u731))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u732, _u733, _u734) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u732, _u733)), hAPP(hAPP(c_Product__Type_OPair(_u732, _u733), _u735), _u736)), _u734)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u732, _u733)), hAPP(hAPP(c_Product__Type_OPair(_u732, _u733), _u735), _u737)), _u734)) | ( _u736 = _u737) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u747, _u749, _u751) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u747, _u749)), hAPP(hAPP(c_Product__Type_OPair(_u747, _u749), _u740), _u739)), _u751)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u747, _u749)), hAPP(hAPP(c_Product__Type_OPair(_u747, _u749), _u740), _u738)), _u751)) | ( _u739 = _u738) )).
% 57.32/57.51 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u748, _u750, _u752) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u748, _u750)), hAPP(hAPP(c_Product__Type_OPair(_u748, _u750), skolem51(_u752, _u750, _u748)), skolem52(_u752, _u750, _u748))), _u752)) )).
% 57.32/57.51 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u748, _u750, _u752) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u748, _u750)), hAPP(hAPP(c_Product__Type_OPair(_u748, _u750), skolem51(_u752, _u750, _u748)), skolem53(_u752, _u750, _u748))), _u752)) )).
% 57.32/57.51 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u748, _u750, _u752) | ( skolem52(_u752, _u750, _u748) != skolem53(_u752, _u750, _u748)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~c_Predicate_ODomainP(_u757, _u759, hAPP(hAPP(c_COMBC(_u757, tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_fun(_u759, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u759, tc_fun(tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_fun(_u759, tc_HOL_Obool)), _u757, c_COMBC(_u759, tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u759, tc_prod(_u757, _u759)), tc_fun(_u759, tc_fun(tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_HOL_Obool)), _u757, c_COMBB(tc_prod(_u757, _u759), tc_fun(tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_HOL_Obool), _u759, c_member(tc_prod(_u757, _u759)))), c_Product__Type_OPair(_u757, _u759)))), _u761), _u763) | hBOOL(hAPP(hAPP(c_member(_u757), _u763), c_Relation_ODomain(_u757, _u759, _u761))) )).
% 57.32/57.51 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u758), _u764), c_Relation_ODomain(_u758, _u760, _u762))) | c_Predicate_ODomainP(_u758, _u760, hAPP(hAPP(c_COMBC(_u758, tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_fun(_u760, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u760, tc_fun(tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_fun(_u760, tc_HOL_Obool)), _u758, c_COMBC(_u760, tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u760, tc_prod(_u758, _u760)), tc_fun(_u760, tc_fun(tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_HOL_Obool)), _u758, c_COMBB(tc_prod(_u758, _u760), tc_fun(tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_HOL_Obool), _u760, c_member(tc_prod(_u758, _u760)))), c_Product__Type_OPair(_u758, _u760)))), _u762), _u764) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u765) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u766, _u765)), _u767), _u768), _u769) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u765), hAPP(_u767, _u769)), hAPP(_u768, _u769))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u770) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u771, _u770)), _u772), _u773), _u774) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u770), hAPP(_u772, _u774)), hAPP(_u773, _u774))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u775, _u776), _u777)) | c_Predicate_ODomainP(_u778, _u779, _u775, _u776) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u786, tc_fun(_u788, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u786, tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_fun(_u788, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u788, tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_fun(_u788, tc_HOL_Obool)), _u786, c_COMBC(_u788, tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u788, tc_prod(_u786, _u788)), tc_fun(_u788, tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), _u786, c_COMBB(tc_prod(_u786, _u788), tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool), _u788, c_member(tc_prod(_u786, _u788)))), c_Product__Type_OPair(_u786, _u788)))), _u790)), hAPP(hAPP(c_COMBC(_u786, tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_fun(_u788, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u788, tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_fun(_u788, tc_HOL_Obool)), _u786, c_COMBC(_u788, tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u788, tc_prod(_u786, _u788)), tc_fun(_u788, tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), _u786, c_COMBB(tc_prod(_u786, _u788), tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool), _u788, c_member(tc_prod(_u786, _u788)))), c_Product__Type_OPair(_u786, _u788)))), _u792)), _u794), _u796)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u786, _u788)), hAPP(hAPP(c_Product__Type_OPair(_u786, _u788), _u794), _u796)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool)), _u790), _u792))) )).
% 57.32/57.51 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u787, _u789)), hAPP(hAPP(c_Product__Type_OPair(_u787, _u789), _u795), _u797)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool)), _u791), _u793))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u787, tc_fun(_u789, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u787, tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_fun(_u789, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u789, tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_fun(_u789, tc_HOL_Obool)), _u787, c_COMBC(_u789, tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u789, tc_prod(_u787, _u789)), tc_fun(_u789, tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), _u787, c_COMBB(tc_prod(_u787, _u789), tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool), _u789, c_member(tc_prod(_u787, _u789)))), c_Product__Type_OPair(_u787, _u789)))), _u791)), hAPP(hAPP(c_COMBC(_u787, tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_fun(_u789, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u789, tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_fun(_u789, tc_HOL_Obool)), _u787, c_COMBC(_u789, tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u789, tc_prod(_u787, _u789)), tc_fun(_u789, tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), _u787, c_COMBB(tc_prod(_u787, _u789), tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool), _u789, c_member(tc_prod(_u787, _u789)))), c_Product__Type_OPair(_u787, _u789)))), _u793)), _u795), _u797)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u798) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u798), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u798), _u799), _u800)), _u801) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u798), _u799), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u798), _u800), _u801))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u802) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u802), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u802), _u803), _u804)), _u805) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u802), _u803), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u802), _u804), _u805))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u806) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u806), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u806), _u807), _u808)), _u809) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u806), _u807), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u806), _u808), _u809))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u810) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u810), _u811), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u810), _u812), _u813)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u810), _u812), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u810), _u811), _u813))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u814) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u814), _u815), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u814), _u816), _u817)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u814), _u816), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u814), _u815), _u817))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u818) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u818), _u819), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u818), _u820), _u821)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u818), _u820), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u818), _u819), _u821))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u822) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u822), _u823), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u822), _u823), _u824)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u822), _u823), _u824)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u825) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u825), _u826), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u825), _u826), _u827)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u825), _u826), _u827)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u828) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u828), _u829), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u828), _u829), _u830)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u828), _u829), _u830)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u831) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u831), _u832), _u833) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u831), _u833), _u832)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u834) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u834), _u835), _u836) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u834), _u836), _u835)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u837) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u837), _u838), _u839) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u837), _u839), _u838)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u840) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u840), _u841), _u841) = _u841) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u842) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u842), _u843), _u843) = _u843) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u848, _u850) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u848, _u848)), hAPP(hAPP(c_Product__Type_OPair(_u848, _u848), _u844), _u844)), _u850)) )).
% 57.32/57.51 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u849, _u849)), hAPP(hAPP(c_Product__Type_OPair(_u849, _u849), skolem54(_u851, _u849)), skolem54(_u851, _u849))), _u851)) | c_Relation_Oirrefl(_u849, _u851) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u853), _u854), c_Relation_ODomain(_u853, _u855, _u856))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u853, _u855)), hAPP(hAPP(c_Product__Type_OPair(_u853, _u855), _u854), skolem55(_u856, _u855, _u854, _u853))), _u856)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u857, _u858)), hAPP(hAPP(c_Product__Type_OPair(_u857, _u858), _u859), _u860)), _u861)) | hBOOL(hAPP(hAPP(c_member(_u858), _u860), c_Relation_ORange(_u857, _u858, _u861))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u866, _u866)), hAPP(hAPP(c_Product__Type_OPair(_u866, _u866), _u868), _u870)), c_Relation_OId__on(_u866, _u872))) | ( _u868 = _u870) )).
% 57.32/57.51 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u866, _u866)), hAPP(hAPP(c_Product__Type_OPair(_u866, _u866), _u868), _u870)), c_Relation_OId__on(_u866, _u872))) | hBOOL(hAPP(hAPP(c_member(_u866), _u868), _u872)) )).
% 57.32/57.51 cnf(fact_Id__on__iff-3, axiom, ( ( _u869 != _u871) | ~hBOOL(hAPP(hAPP(c_member(_u867), _u869), _u873)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u867, _u867)), hAPP(hAPP(c_Product__Type_OPair(_u867, _u867), _u869), _u871)), c_Relation_OId__on(_u867, _u873))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Id__on__eqI-1, axiom, ( ( _u874 != _u875) | ~hBOOL(hAPP(hAPP(c_member(_u876), _u874), _u877)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u876, _u876)), hAPP(hAPP(c_Product__Type_OPair(_u876, _u876), _u874), _u875)), c_Relation_OId__on(_u876, _u877))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_single__valuedI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_single__valuedI-1, axiom, ( c_Relation_Osingle__valued(_u881, _u882, _u883) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u881, _u882)), hAPP(hAPP(c_Product__Type_OPair(_u881, _u882), skolem56(_u883, _u882, _u881)), skolem57(_u883, _u882, _u881))), _u883)) )).
% 57.32/57.51 cnf(fact_single__valuedI-2, axiom, ( c_Relation_Osingle__valued(_u881, _u882, _u883) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u881, _u882)), hAPP(hAPP(c_Product__Type_OPair(_u881, _u882), skolem56(_u883, _u882, _u881)), skolem58(_u883, _u882, _u881))), _u883)) )).
% 57.32/57.51 cnf(fact_single__valuedI-3, axiom, ( c_Relation_Osingle__valued(_u881, _u882, _u883) | ( skolem57(_u883, _u882, _u881) != skolem58(_u883, _u882, _u881)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__induct ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), _u887), _u888)), c_Transitive__Closure_Ortrancl(_u886, _u889))) | ~hBOOL(hAPP(_u890, _u887)) | hBOOL(hAPP(_u890, _u888)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), _u887), skolem59(_u890, _u889, _u888, _u887, _u886))), c_Transitive__Closure_Ortrancl(_u886, _u889))) )).
% 57.32/57.51 cnf(fact_rtrancl__induct-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), _u887), _u888)), c_Transitive__Closure_Ortrancl(_u886, _u889))) | ~hBOOL(hAPP(_u890, _u887)) | hBOOL(hAPP(_u890, _u888)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), skolem59(_u890, _u889, _u888, _u887, _u886)), skolem60(_u890, _u889, _u888, _u887, _u886))), _u889)) )).
% 57.32/57.51 cnf(fact_rtrancl__induct-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), _u887), _u888)), c_Transitive__Closure_Ortrancl(_u886, _u889))) | ~hBOOL(hAPP(_u890, _u887)) | hBOOL(hAPP(_u890, _u888)) | hBOOL(hAPP(_u890, skolem59(_u890, _u889, _u888, _u887, _u886))) )).
% 57.32/57.51 cnf(fact_rtrancl__induct-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), _u887), _u888)), c_Transitive__Closure_Ortrancl(_u886, _u889))) | ~hBOOL(hAPP(_u890, _u887)) | hBOOL(hAPP(_u890, _u888)) | ~hBOOL(hAPP(_u890, skolem60(_u890, _u889, _u888, _u887, _u886))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u891, tc_fun(_u892, tc_HOL_Obool))), _u893), _u894), _u895), _u896)) | hBOOL(hAPP(hAPP(_u893, _u895), _u896)) )).
% 57.32/57.51 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u891, tc_fun(_u892, tc_HOL_Obool))), _u893), _u894), _u895), _u896)) | hBOOL(hAPP(hAPP(_u894, _u895), _u896)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u897, _u898), _u899)) | ~hBOOL(hAPP(hAPP(_u900, _u898), _u899)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u901, tc_fun(_u902, tc_HOL_Obool))), _u897), _u900), _u898), _u899)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u906, _u907), _u908)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u903, tc_fun(_u904, tc_HOL_Obool))), _u905), _u906), _u907), _u908)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u911, _u913), _u914)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u909, tc_fun(_u910, tc_HOL_Obool))), _u911), _u912), _u913), _u914)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Range__Id__on-1, axiom, ( ( c_Relation_ORange(_u915, _u915, c_Relation_OId__on(_u915, _u916)) = _u916) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Domain__Id__on-1, axiom, ( ( c_Relation_ODomain(_u917, _u917, c_Relation_OId__on(_u917, _u918)) = _u918) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u919, _u919, c_Relation_OId__on(_u919, _u920)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u927), _u929), c_Relation_ORange(_u931, _u927, _u933))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u931, _u927)), hAPP(hAPP(c_Product__Type_OPair(_u931, _u927), skolem61(_u933, _u931, _u929, _u927)), _u929)), _u933)) )).
% 57.32/57.51 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u932, _u928)), hAPP(hAPP(c_Product__Type_OPair(_u932, _u928), _u922), _u930)), _u934)) | hBOOL(hAPP(hAPP(c_member(_u928), _u930), c_Relation_ORange(_u932, _u928, _u934))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_RangeP__Range__eq-1, axiom, ( ~c_Predicate_ORangeP(_u939, _u941, hAPP(hAPP(c_COMBC(_u939, tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_fun(_u941, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u941, tc_fun(tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_fun(_u941, tc_HOL_Obool)), _u939, c_COMBC(_u941, tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u941, tc_prod(_u939, _u941)), tc_fun(_u941, tc_fun(tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_HOL_Obool)), _u939, c_COMBB(tc_prod(_u939, _u941), tc_fun(tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_HOL_Obool), _u941, c_member(tc_prod(_u939, _u941)))), c_Product__Type_OPair(_u939, _u941)))), _u943), _u945) | hBOOL(hAPP(hAPP(c_member(_u941), _u945), c_Relation_ORange(_u939, _u941, _u943))) )).
% 57.32/57.51 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u942), _u946), c_Relation_ORange(_u940, _u942, _u944))) | c_Predicate_ORangeP(_u940, _u942, hAPP(hAPP(c_COMBC(_u940, tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_fun(_u942, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u942, tc_fun(tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_fun(_u942, tc_HOL_Obool)), _u940, c_COMBC(_u942, tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u942, tc_prod(_u940, _u942)), tc_fun(_u942, tc_fun(tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_HOL_Obool)), _u940, c_COMBB(tc_prod(_u940, _u942), tc_fun(tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_HOL_Obool), _u942, c_member(tc_prod(_u940, _u942)))), c_Product__Type_OPair(_u940, _u942)))), _u944), _u946) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u948, _u948)), _u949), c_Relation_OId__on(_u948, _u950))) | hBOOL(hAPP(hAPP(c_member(_u948), skolem62(_u950, _u949, _u948)), _u950)) )).
% 57.32/57.51 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u948, _u948)), _u949), c_Relation_OId__on(_u948, _u950))) | ( _u949 = hAPP(hAPP(c_Product__Type_OPair(_u948, _u948), skolem62(_u950, _u949, _u948)), skolem62(_u950, _u949, _u948))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u952), _u953), c_Relation_ORange(_u954, _u952, _u955))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u954, _u952)), hAPP(hAPP(c_Product__Type_OPair(_u954, _u952), skolem63(_u955, _u954, _u953, _u952)), _u953)), _u955)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtranclE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtranclE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u957, _u957)), hAPP(hAPP(c_Product__Type_OPair(_u957, _u957), _u958), _u959)), c_Transitive__Closure_Ortrancl(_u957, _u960))) | ( _u958 = _u959) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u957, _u957)), hAPP(hAPP(c_Product__Type_OPair(_u957, _u957), _u958), skolem64(_u960, _u959, _u958, _u957))), c_Transitive__Closure_Ortrancl(_u957, _u960))) )).
% 57.32/57.51 cnf(fact_rtranclE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u957, _u957)), hAPP(hAPP(c_Product__Type_OPair(_u957, _u957), _u958), _u959)), c_Transitive__Closure_Ortrancl(_u957, _u960))) | ( _u958 = _u959) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u957, _u957)), hAPP(hAPP(c_Product__Type_OPair(_u957, _u957), skolem64(_u960, _u959, _u958, _u957)), _u959)), _u960)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_converse__rtranclE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_converse__rtranclE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u962, _u962)), hAPP(hAPP(c_Product__Type_OPair(_u962, _u962), _u963), _u964)), c_Transitive__Closure_Ortrancl(_u962, _u965))) | ( _u963 = _u964) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u962, _u962)), hAPP(hAPP(c_Product__Type_OPair(_u962, _u962), _u963), skolem65(_u965, _u964, _u963, _u962))), _u965)) )).
% 57.32/57.51 cnf(fact_converse__rtranclE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u962, _u962)), hAPP(hAPP(c_Product__Type_OPair(_u962, _u962), _u963), _u964)), c_Transitive__Closure_Ortrancl(_u962, _u965))) | ( _u963 = _u964) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u962, _u962)), hAPP(hAPP(c_Product__Type_OPair(_u962, _u962), skolem65(_u965, _u964, _u963, _u962)), _u964)), c_Transitive__Closure_Ortrancl(_u962, _u965))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_converse__rtrancl__induct ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_converse__rtrancl__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), _u969), _u970)), c_Transitive__Closure_Ortrancl(_u968, _u971))) | ~hBOOL(hAPP(_u972, _u970)) | hBOOL(hAPP(_u972, _u969)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), skolem66(_u972, _u971, _u970, _u969, _u968)), skolem67(_u972, _u971, _u970, _u969, _u968))), _u971)) )).
% 57.32/57.51 cnf(fact_converse__rtrancl__induct-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), _u969), _u970)), c_Transitive__Closure_Ortrancl(_u968, _u971))) | ~hBOOL(hAPP(_u972, _u970)) | hBOOL(hAPP(_u972, _u969)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), skolem67(_u972, _u971, _u970, _u969, _u968)), _u970)), c_Transitive__Closure_Ortrancl(_u968, _u971))) )).
% 57.32/57.51 cnf(fact_converse__rtrancl__induct-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), _u969), _u970)), c_Transitive__Closure_Ortrancl(_u968, _u971))) | ~hBOOL(hAPP(_u972, _u970)) | hBOOL(hAPP(_u972, _u969)) | hBOOL(hAPP(_u972, skolem67(_u972, _u971, _u970, _u969, _u968))) )).
% 57.32/57.51 cnf(fact_converse__rtrancl__induct-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), _u969), _u970)), c_Transitive__Closure_Ortrancl(_u968, _u971))) | ~hBOOL(hAPP(_u972, _u970)) | hBOOL(hAPP(_u972, _u969)) | ~hBOOL(hAPP(_u972, skolem66(_u972, _u971, _u970, _u969, _u968))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u973, _u974), _u975)) | c_Predicate_ORangeP(_u976, _u977, _u973, _u975) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u988, skolem68(_u990, _u988)), _u990)) | ~c_Predicate_ORangeP(_u984, _u986, _u988, _u990) )).
% 57.32/57.51 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u989, _u979), _u991)) | c_Predicate_ORangeP(_u985, _u987, _u989, _u991) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u999, _u1001, _u1003) | ~hBOOL(hAPP(hAPP(c_member(_u999), _u993), _u1001)) | ~hBOOL(hAPP(hAPP(c_member(_u999), _u992), _u1001)) | ( _u993 = _u992) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u999, _u999)), hAPP(hAPP(c_Product__Type_OPair(_u999, _u999), _u993), _u992)), _u1003)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u999, _u999)), hAPP(hAPP(c_Product__Type_OPair(_u999, _u999), _u992), _u993)), _u1003)) )).
% 57.32/57.51 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u1000, _u1002, _u1004) | hBOOL(hAPP(hAPP(c_member(_u1000), skolem69(_u1004, _u1002, _u1000)), _u1002)) )).
% 57.32/57.51 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u1000, _u1002, _u1004) | hBOOL(hAPP(hAPP(c_member(_u1000), skolem70(_u1004, _u1002, _u1000)), _u1002)) )).
% 57.32/57.51 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u1000, _u1002, _u1004) | ( skolem69(_u1004, _u1002, _u1000) != skolem70(_u1004, _u1002, _u1000)) )).
% 57.32/57.51 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u1000, _u1002, _u1004) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1000, _u1000)), hAPP(hAPP(c_Product__Type_OPair(_u1000, _u1000), skolem69(_u1004, _u1002, _u1000)), skolem70(_u1004, _u1002, _u1000))), _u1004)) )).
% 57.32/57.51 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u1000, _u1002, _u1004) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1000, _u1000)), hAPP(hAPP(c_Product__Type_OPair(_u1000, _u1000), skolem70(_u1004, _u1002, _u1000)), skolem69(_u1004, _u1002, _u1000))), _u1004)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1017, _u1017)), hAPP(hAPP(c_Product__Type_OPair(_u1017, _u1017), hAPP(_u1021, _u1013)), hAPP(_u1021, _u1015))), _u1019)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1011, _u1011)), hAPP(hAPP(c_Product__Type_OPair(_u1011, _u1011), _u1013), _u1015)), c_Relation_Oinv__image(_u1017, _u1011, _u1019, _u1021))) )).
% 57.32/57.51 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1018, _u1018)), hAPP(hAPP(c_Product__Type_OPair(_u1018, _u1018), hAPP(_u1022, _u1014)), hAPP(_u1022, _u1016))), _u1020)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1012, _u1012)), hAPP(hAPP(c_Product__Type_OPair(_u1012, _u1012), _u1014), _u1016)), c_Relation_Oinv__image(_u1018, _u1012, _u1020, _u1022))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u1023, _u1024, _u1025) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1023, _u1023)), hAPP(hAPP(c_Product__Type_OPair(_u1023, _u1023), _u1026), _u1027)), _u1025)) | hBOOL(hAPP(hAPP(c_member(_u1023), _u1026), _u1024)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u1028, _u1029, _u1030) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1028, _u1028)), hAPP(hAPP(c_Product__Type_OPair(_u1028, _u1028), _u1031), _u1032)), _u1030)) | hBOOL(hAPP(hAPP(c_member(_u1028), _u1032), _u1029)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u1033, _u1034, _u1035) | ~hBOOL(hAPP(hAPP(c_member(_u1033), _u1036), _u1034)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1033, _u1033)), hAPP(hAPP(c_Product__Type_OPair(_u1033, _u1033), _u1036), _u1036)), _u1035)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1037, _u1037)), hAPP(hAPP(c_Product__Type_OPair(_u1037, _u1037), _u1038), _u1039)), c_Transitive__Closure_Otrancl(_u1037, _u1040))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1037, _u1037)), hAPP(hAPP(c_Product__Type_OPair(_u1037, _u1037), _u1038), _u1039)), c_Transitive__Closure_Ortrancl(_u1037, _u1040))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1041, _u1041)), hAPP(hAPP(c_Product__Type_OPair(_u1041, _u1041), _u1042), _u1043)), _u1044)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1041, _u1041)), hAPP(hAPP(c_Product__Type_OPair(_u1041, _u1041), _u1042), _u1043)), c_Transitive__Closure_Otrancl(_u1041, _u1044))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1045, _u1045)), _u1046), _u1047)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1045, _u1045)), _u1046), c_Transitive__Closure_Otrancl(_u1045, _u1047))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u1048, c_Transitive__Closure_Otrancl(_u1048, _u1049)) = c_Transitive__Closure_Ortrancl(_u1048, _u1049)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u1050, c_Transitive__Closure_Ortrancl(_u1050, _u1051)) = c_Transitive__Closure_Ortrancl(_u1050, _u1051)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__domain-1, axiom, ( ( c_Relation_ODomain(_u1052, _u1052, c_Transitive__Closure_Otrancl(_u1052, _u1053)) = c_Relation_ODomain(_u1052, _u1052, _u1053)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__range-1, axiom, ( ( c_Relation_ORange(_u1054, _u1054, c_Transitive__Closure_Otrancl(_u1054, _u1055)) = c_Relation_ORange(_u1054, _u1054, _u1055)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u1056, _u1057, c_Relation_OId__on(_u1056, _u1057)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1058, _u1058)), hAPP(hAPP(c_Product__Type_OPair(_u1058, _u1058), _u1059), _u1060)), c_Transitive__Closure_Otrancl(_u1058, _u1061))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1058, _u1058)), hAPP(hAPP(c_Product__Type_OPair(_u1058, _u1058), _u1060), _u1062)), c_Transitive__Closure_Otrancl(_u1058, _u1061))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1058, _u1058)), hAPP(hAPP(c_Product__Type_OPair(_u1058, _u1058), _u1059), _u1062)), c_Transitive__Closure_Otrancl(_u1058, _u1061))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1063, _u1063)), hAPP(hAPP(c_Product__Type_OPair(_u1063, _u1063), _u1064), _u1065)), c_Transitive__Closure_Otrancl(_u1063, _u1066))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1063, _u1063)), hAPP(hAPP(c_Product__Type_OPair(_u1063, _u1063), _u1065), _u1067)), _u1066)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1063, _u1063)), hAPP(hAPP(c_Product__Type_OPair(_u1063, _u1063), _u1064), _u1067)), c_Transitive__Closure_Otrancl(_u1063, _u1066))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1068, _u1068)), hAPP(hAPP(c_Product__Type_OPair(_u1068, _u1068), _u1069), _u1070)), _u1071)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1068, _u1068)), hAPP(hAPP(c_Product__Type_OPair(_u1068, _u1068), _u1070), _u1072)), c_Transitive__Closure_Otrancl(_u1068, _u1071))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1068, _u1068)), hAPP(hAPP(c_Product__Type_OPair(_u1068, _u1068), _u1069), _u1072)), c_Transitive__Closure_Otrancl(_u1068, _u1071))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1073, _u1073)), hAPP(hAPP(c_Product__Type_OPair(_u1073, _u1073), _u1074), _u1075)), _u1076)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1073, _u1073)), hAPP(hAPP(c_Product__Type_OPair(_u1073, _u1073), _u1075), _u1077)), _u1076)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1073, _u1073)), hAPP(hAPP(c_Product__Type_OPair(_u1073, _u1073), _u1074), _u1077)), c_Transitive__Closure_Otrancl(_u1073, _u1076))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u1078, _u1079, _u1080) | ~c_Relation_Orefl__on(_u1078, _u1081, _u1082) | c_Relation_Orefl__on(_u1078, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1078, tc_HOL_Obool)), _u1079), _u1081), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1078, _u1078), tc_HOL_Obool)), _u1080), _u1082)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1083, _u1083)), hAPP(hAPP(c_Product__Type_OPair(_u1083, _u1083), _u1084), _u1085)), c_Transitive__Closure_Ortrancl(_u1083, _u1086))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1083, _u1083)), hAPP(hAPP(c_Product__Type_OPair(_u1083, _u1083), _u1085), _u1087)), c_Transitive__Closure_Otrancl(_u1083, _u1086))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1083, _u1083)), hAPP(hAPP(c_Product__Type_OPair(_u1083, _u1083), _u1084), _u1087)), c_Transitive__Closure_Otrancl(_u1083, _u1086))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1088, _u1088)), hAPP(hAPP(c_Product__Type_OPair(_u1088, _u1088), _u1089), _u1090)), c_Transitive__Closure_Otrancl(_u1088, _u1091))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1088, _u1088)), hAPP(hAPP(c_Product__Type_OPair(_u1088, _u1088), _u1090), _u1092)), c_Transitive__Closure_Ortrancl(_u1088, _u1091))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1088, _u1088)), hAPP(hAPP(c_Product__Type_OPair(_u1088, _u1088), _u1089), _u1092)), c_Transitive__Closure_Otrancl(_u1088, _u1091))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1093, _u1093)), hAPP(hAPP(c_Product__Type_OPair(_u1093, _u1093), _u1094), _u1095)), c_Transitive__Closure_Ortrancl(_u1093, _u1096))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1093, _u1093)), hAPP(hAPP(c_Product__Type_OPair(_u1093, _u1093), _u1095), _u1097)), _u1096)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1093, _u1093)), hAPP(hAPP(c_Product__Type_OPair(_u1093, _u1093), _u1094), _u1097)), c_Transitive__Closure_Otrancl(_u1093, _u1096))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1098, _u1098)), hAPP(hAPP(c_Product__Type_OPair(_u1098, _u1098), _u1099), _u1100)), c_Transitive__Closure_Ortrancl(_u1098, _u1101))) | ( _u1099 = _u1100) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1098, _u1098)), hAPP(hAPP(c_Product__Type_OPair(_u1098, _u1098), _u1099), _u1100)), c_Transitive__Closure_Otrancl(_u1098, _u1101))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1102, _u1102)), hAPP(hAPP(c_Product__Type_OPair(_u1102, _u1102), _u1103), _u1104)), _u1105)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1102, _u1102)), hAPP(hAPP(c_Product__Type_OPair(_u1102, _u1102), _u1104), _u1106)), c_Transitive__Closure_Ortrancl(_u1102, _u1105))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1102, _u1102)), hAPP(hAPP(c_Product__Type_OPair(_u1102, _u1102), _u1103), _u1106)), c_Transitive__Closure_Otrancl(_u1102, _u1105))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1111, _u1111)), hAPP(hAPP(c_Product__Type_OPair(_u1111, _u1111), _u1113), _u1115)), c_Transitive__Closure_Ortrancl(_u1111, _u1117))) | ( _u1113 = _u1115) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1111, _u1111)), hAPP(hAPP(c_Product__Type_OPair(_u1111, _u1111), _u1113), _u1115)), c_Transitive__Closure_Otrancl(_u1111, _u1117))) )).
% 57.32/57.51 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1112, _u1112)), hAPP(hAPP(c_Product__Type_OPair(_u1112, _u1112), _u1114), _u1116)), c_Transitive__Closure_Ortrancl(_u1112, _u1118))) | ( _u1114 != _u1116) )).
% 57.32/57.51 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1112, _u1112)), hAPP(hAPP(c_Product__Type_OPair(_u1112, _u1112), _u1114), _u1116)), c_Transitive__Closure_Ortrancl(_u1112, _u1118))) | ( _u1114 = _u1116) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1112, _u1112)), hAPP(hAPP(c_Product__Type_OPair(_u1112, _u1112), _u1114), _u1116)), c_Transitive__Closure_Otrancl(_u1112, _u1118))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1120, _u1120)), hAPP(hAPP(c_Product__Type_OPair(_u1120, _u1120), _u1121), _u1122)), c_Transitive__Closure_Otrancl(_u1120, _u1123))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1120, _u1120)), hAPP(hAPP(c_Product__Type_OPair(_u1120, _u1120), _u1121), skolem71(_u1123, _u1122, _u1121, _u1120))), c_Transitive__Closure_Ortrancl(_u1120, _u1123))) )).
% 57.32/57.51 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1120, _u1120)), hAPP(hAPP(c_Product__Type_OPair(_u1120, _u1120), _u1121), _u1122)), c_Transitive__Closure_Otrancl(_u1120, _u1123))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1120, _u1120)), hAPP(hAPP(c_Product__Type_OPair(_u1120, _u1120), skolem71(_u1123, _u1122, _u1121, _u1120)), _u1122)), _u1123)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1125, _u1125)), hAPP(hAPP(c_Product__Type_OPair(_u1125, _u1125), _u1126), _u1127)), c_Transitive__Closure_Otrancl(_u1125, _u1128))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1125, _u1125)), hAPP(hAPP(c_Product__Type_OPair(_u1125, _u1125), _u1126), skolem72(_u1128, _u1127, _u1126, _u1125))), _u1128)) )).
% 57.32/57.51 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1125, _u1125)), hAPP(hAPP(c_Product__Type_OPair(_u1125, _u1125), _u1126), _u1127)), c_Transitive__Closure_Otrancl(_u1125, _u1128))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1125, _u1125)), hAPP(hAPP(c_Product__Type_OPair(_u1125, _u1125), skolem72(_u1128, _u1127, _u1126, _u1125)), _u1127)), c_Transitive__Closure_Ortrancl(_u1125, _u1128))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u1133, _u1135) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1133, _u1133)), hAPP(hAPP(c_Product__Type_OPair(_u1133, _u1133), _u1129), _u1129)), c_Transitive__Closure_Otrancl(_u1133, _u1135))) )).
% 57.32/57.51 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1134, _u1134)), hAPP(hAPP(c_Product__Type_OPair(_u1134, _u1134), skolem73(_u1136, _u1134)), skolem73(_u1136, _u1134))), c_Transitive__Closure_Otrancl(_u1134, _u1136))) | c_Wellfounded_Oacyclic(_u1134, _u1136) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tranclE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tranclE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), _u1139), _u1140)), c_Transitive__Closure_Otrancl(_u1138, _u1141))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), _u1139), _u1140)), _u1141)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), _u1139), skolem74(_u1141, _u1140, _u1139, _u1138))), c_Transitive__Closure_Otrancl(_u1138, _u1141))) )).
% 57.32/57.51 cnf(fact_tranclE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), _u1139), _u1140)), c_Transitive__Closure_Otrancl(_u1138, _u1141))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), _u1139), _u1140)), _u1141)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), skolem74(_u1141, _u1140, _u1139, _u1138)), _u1140)), _u1141)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_converse__tranclE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_converse__tranclE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), _u1144), _u1145)), c_Transitive__Closure_Otrancl(_u1143, _u1146))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), _u1144), _u1145)), _u1146)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), _u1144), skolem75(_u1146, _u1145, _u1144, _u1143))), _u1146)) )).
% 57.32/57.51 cnf(fact_converse__tranclE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), _u1144), _u1145)), c_Transitive__Closure_Otrancl(_u1143, _u1146))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), _u1144), _u1145)), _u1146)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), skolem75(_u1146, _u1145, _u1144, _u1143)), _u1145)), c_Transitive__Closure_Otrancl(_u1143, _u1146))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1148, _u1148)), hAPP(hAPP(c_Product__Type_OPair(_u1148, _u1148), skolem76(_u1149, _u1148)), skolem76(_u1149, _u1148))), c_Transitive__Closure_Otrancl(_u1148, _u1149))) | c_Wellfounded_Oacyclic(_u1148, _u1149) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u1154, c_Set_Oinsert(tc_prod(_u1154, _u1154), hAPP(hAPP(c_Product__Type_OPair(_u1154, _u1154), _u1156), _u1158), _u1160)) | c_Wellfounded_Oacyclic(_u1154, _u1160) )).
% 57.32/57.51 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u1154, c_Set_Oinsert(tc_prod(_u1154, _u1154), hAPP(hAPP(c_Product__Type_OPair(_u1154, _u1154), _u1156), _u1158), _u1160)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1154, _u1154)), hAPP(hAPP(c_Product__Type_OPair(_u1154, _u1154), _u1158), _u1156)), c_Transitive__Closure_Ortrancl(_u1154, _u1160))) )).
% 57.32/57.51 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u1155, _u1161) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1155, _u1155)), hAPP(hAPP(c_Product__Type_OPair(_u1155, _u1155), _u1159), _u1157)), c_Transitive__Closure_Ortrancl(_u1155, _u1161))) | c_Wellfounded_Oacyclic(_u1155, c_Set_Oinsert(tc_prod(_u1155, _u1155), hAPP(hAPP(c_Product__Type_OPair(_u1155, _u1155), _u1157), _u1159), _u1161)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_irrefl__trancl__rD ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_irrefl__trancl__rD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1163, _u1163)), hAPP(hAPP(c_Product__Type_OPair(_u1163, _u1163), skolem77(_u1166, _u1165, _u1164, _u1163)), skolem77(_u1166, _u1165, _u1164, _u1163))), c_Transitive__Closure_Otrancl(_u1163, _u1164))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1163, _u1163)), hAPP(hAPP(c_Product__Type_OPair(_u1163, _u1163), _u1165), _u1166)), _u1164)) | ( _u1165 != _u1166) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tranclp__trancl__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tranclp__trancl__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1171, hAPP(hAPP(c_COMBC(_u1171, tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_fun(_u1171, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1171, tc_fun(tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_fun(_u1171, tc_HOL_Obool)), _u1171, c_COMBC(_u1171, tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1171, tc_prod(_u1171, _u1171)), tc_fun(_u1171, tc_fun(tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_HOL_Obool)), _u1171, c_COMBB(tc_prod(_u1171, _u1171), tc_fun(tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_HOL_Obool), _u1171, c_member(tc_prod(_u1171, _u1171)))), c_Product__Type_OPair(_u1171, _u1171)))), _u1173)), _u1175), _u1177)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1171, _u1171)), hAPP(hAPP(c_Product__Type_OPair(_u1171, _u1171), _u1175), _u1177)), c_Transitive__Closure_Otrancl(_u1171, _u1173))) )).
% 57.32/57.51 cnf(fact_tranclp__trancl__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1172, _u1172)), hAPP(hAPP(c_Product__Type_OPair(_u1172, _u1172), _u1176), _u1178)), c_Transitive__Closure_Otrancl(_u1172, _u1174))) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1172, hAPP(hAPP(c_COMBC(_u1172, tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_fun(_u1172, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1172, tc_fun(tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_fun(_u1172, tc_HOL_Obool)), _u1172, c_COMBC(_u1172, tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1172, tc_prod(_u1172, _u1172)), tc_fun(_u1172, tc_fun(tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_HOL_Obool)), _u1172, c_COMBB(tc_prod(_u1172, _u1172), tc_fun(tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_HOL_Obool), _u1172, c_member(tc_prod(_u1172, _u1172)))), c_Product__Type_OPair(_u1172, _u1172)))), _u1174)), _u1176), _u1178)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acyclic__impl__antisym__rtrancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acyclic__impl__antisym__rtrancl-1, axiom, ( ~c_Wellfounded_Oacyclic(_u1179, _u1180) | c_Relation_Oantisym(_u1179, c_Transitive__Closure_Ortrancl(_u1179, _u1180)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tranclp_Or__into__trancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tranclp_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(_u1181, _u1182), _u1183)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1184, _u1181), _u1182), _u1183)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1185), _u1186), c_Set_Oinsert(_u1185, _u1188, _u1187))) | ~hBOOL(hAPP(hAPP(c_member(_u1185), _u1186), _u1187)) )).
% 57.32/57.51 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1185), _u1186), c_Set_Oinsert(_u1185, _u1188, _u1187))) | ( _u1186 != _u1188) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insertE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1189), _u1190), c_Set_Oinsert(_u1189, _u1191, _u1192))) | ( _u1190 = _u1191) | hBOOL(hAPP(hAPP(c_member(_u1189), _u1190), _u1192)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1193), _u1194), c_Set_Oinsert(_u1193, _u1194, _u1195))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), c_Set_Oinsert(_u1200, _u1204, _u1206))) | ( _u1202 = _u1204) | hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), _u1206)) )).
% 57.32/57.51 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1201), _u1203), c_Set_Oinsert(_u1201, _u1205, _u1207))) | ( _u1203 != _u1205) )).
% 57.32/57.51 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1201), _u1203), c_Set_Oinsert(_u1201, _u1205, _u1207))) | ~hBOOL(hAPP(hAPP(c_member(_u1201), _u1203), _u1207)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1208), _u1209), _u1210)) | hBOOL(hAPP(hAPP(c_member(_u1208), _u1209), _u1211)) | ( c_Set_Oinsert(_u1208, _u1209, _u1210) != c_Set_Oinsert(_u1208, _u1209, _u1211)) | ( _u1210 = _u1211) )).
% 57.32/57.51 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1208), _u1209), _u1210)) | hBOOL(hAPP(hAPP(c_member(_u1208), _u1209), _u1211)) | ( _u1210 != _u1211) | ( c_Set_Oinsert(_u1208, _u1209, _u1210) = c_Set_Oinsert(_u1208, _u1209, _u1211)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1212), _u1213), _u1214)) | hBOOL(hAPP(hAPP(c_member(_u1212), _u1213), c_Set_Oinsert(_u1212, _u1215, _u1214))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1216), _u1217), _u1218)) | ( c_Set_Oinsert(_u1216, _u1217, _u1218) = _u1218) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1219, tc_HOL_Obool)), c_Set_Oinsert(_u1219, _u1220, _u1221)), c_Set_Oinsert(_u1219, _u1220, _u1222)) = c_Set_Oinsert(_u1219, _u1220, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1219, tc_HOL_Obool)), _u1221), _u1222))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Domain__insert-1, axiom, ( ( c_Relation_ODomain(_u1223, _u1224, c_Set_Oinsert(tc_prod(_u1223, _u1224), hAPP(hAPP(c_Product__Type_OPair(_u1223, _u1224), _u1225), _u1226), _u1227)) = c_Set_Oinsert(_u1223, _u1225, c_Relation_ODomain(_u1223, _u1224, _u1227))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Range__insert-1, axiom, ( ( c_Relation_ORange(_u1228, _u1229, c_Set_Oinsert(tc_prod(_u1228, _u1229), hAPP(hAPP(c_Product__Type_OPair(_u1228, _u1229), _u1230), _u1231), _u1232)) = c_Set_Oinsert(_u1229, _u1231, c_Relation_ORange(_u1228, _u1229, _u1232))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tranclp__trans ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tranclp__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1233, _u1234), _u1235), _u1236)) | ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1233, _u1234), _u1236), _u1237)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1233, _u1234), _u1235), _u1237)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tranclp_Otrancl__into__trancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tranclp_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1238, _u1239), _u1240), _u1241)) | ~hBOOL(hAPP(hAPP(_u1239, _u1241), _u1242)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1238, _u1239), _u1240), _u1242)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tranclp__into__tranclp2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tranclp__into__tranclp2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u1243, _u1244), _u1245)) | ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1246, _u1243), _u1245), _u1247)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1246, _u1243), _u1244), _u1247)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tranclp_Oequations_I2_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tranclp_Oequations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1254, _u1256), _u1258), _u1260)) | hBOOL(hAPP(hAPP(_u1256, _u1258), _u1260)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1254, _u1256), _u1258), skolem78(_u1260, _u1258, _u1256, _u1254))) )).
% 57.32/57.51 cnf(fact_tranclp_Oequations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1254, _u1256), _u1258), _u1260)) | hBOOL(hAPP(hAPP(_u1256, _u1258), _u1260)) | hBOOL(hAPP(hAPP(_u1256, skolem78(_u1260, _u1258, _u1256, _u1254)), _u1260)) )).
% 57.32/57.51 cnf(fact_tranclp_Oequations_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1255, _u1257), _u1259), _u1261)) | ~hBOOL(hAPP(hAPP(_u1257, _u1259), _u1261)) )).
% 57.32/57.51 cnf(fact_tranclp_Oequations_I2_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1255, _u1257), _u1259), _u1261)) | ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1255, _u1257), _u1259), _u1249)) | ~hBOOL(hAPP(hAPP(_u1257, _u1249), _u1261)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tranclp_Oequations_I1_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tranclp_Oequations_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1268, _u1270), _u1272), _u1274)) | hBOOL(hAPP(hAPP(_u1270, _u1272), _u1274)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1268, _u1270), _u1272), skolem79(_u1274, _u1272, _u1270, _u1268))) )).
% 57.32/57.51 cnf(fact_tranclp_Oequations_I1_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1268, _u1270), _u1272), _u1274)) | hBOOL(hAPP(hAPP(_u1270, _u1272), _u1274)) | hBOOL(hAPP(hAPP(_u1270, skolem79(_u1274, _u1272, _u1270, _u1268)), _u1274)) )).
% 57.32/57.51 cnf(fact_tranclp_Oequations_I1_J-3, axiom, ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1269, _u1271), _u1273), _u1275)) | ~hBOOL(hAPP(hAPP(_u1271, _u1273), _u1275)) )).
% 57.32/57.51 cnf(fact_tranclp_Oequations_I1_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1269, _u1271), _u1273), _u1275)) | ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1269, _u1271), _u1273), _u1263)) | ~hBOOL(hAPP(hAPP(_u1271, _u1263), _u1275)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__code-1, axiom, ( ( _u1282 = _u1286) | hBOOL(hAPP(_u1284, _u1286)) | ~hBOOL(hAPP(c_Set_Oinsert(_u1280, _u1282, _u1284), _u1286)) )).
% 57.32/57.51 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(c_Set_Oinsert(_u1281, _u1283, _u1285), _u1287)) | ( _u1283 != _u1287) )).
% 57.32/57.51 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(c_Set_Oinsert(_u1281, _u1283, _u1285), _u1287)) | ~hBOOL(hAPP(_u1285, _u1287)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__commute-1, axiom, ( ( c_Set_Oinsert(_u1288, _u1289, c_Set_Oinsert(_u1288, _u1290, _u1291)) = c_Set_Oinsert(_u1288, _u1290, c_Set_Oinsert(_u1288, _u1289, _u1291))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__absorb2-1, axiom, ( ( c_Set_Oinsert(_u1292, _u1293, c_Set_Oinsert(_u1292, _u1293, _u1294)) = c_Set_Oinsert(_u1292, _u1293, _u1294)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1295), _u1296), _u1297)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1295, tc_HOL_Obool)), c_Set_Oinsert(_u1295, _u1296, _u1298)), _u1297) = c_Set_Oinsert(_u1295, _u1296, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1295, tc_HOL_Obool)), _u1298), _u1297))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1299), _u1300), _u1301)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1299, tc_HOL_Obool)), _u1301), c_Set_Oinsert(_u1299, _u1300, _u1302)) = c_Set_Oinsert(_u1299, _u1300, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1299, tc_HOL_Obool)), _u1301), _u1302))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1303), _u1304), _u1305)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1303, tc_HOL_Obool)), c_Set_Oinsert(_u1303, _u1304, _u1306)), _u1305) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1303, tc_HOL_Obool)), _u1306), _u1305)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1307), _u1308), _u1309)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1307, tc_HOL_Obool)), _u1309), c_Set_Oinsert(_u1307, _u1308, _u1310)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1307, tc_HOL_Obool)), _u1309), _u1310)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1315), _u1317), _u1319)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1315, tc_HOL_Obool)), c_Set_Oinsert(_u1315, _u1317, _u1321)), _u1319) = c_Set_Oinsert(_u1315, _u1317, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1315, tc_HOL_Obool)), _u1321), _u1319))) )).
% 57.32/57.51 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1316), _u1318), _u1320)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1316, tc_HOL_Obool)), c_Set_Oinsert(_u1316, _u1318, _u1322)), _u1320) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1316, tc_HOL_Obool)), _u1322), _u1320)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1327), _u1329), _u1331)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1327, tc_HOL_Obool)), _u1331), c_Set_Oinsert(_u1327, _u1329, _u1333)) = c_Set_Oinsert(_u1327, _u1329, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1327, tc_HOL_Obool)), _u1331), _u1333))) )).
% 57.32/57.51 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1328), _u1330), _u1332)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1328, tc_HOL_Obool)), _u1332), c_Set_Oinsert(_u1328, _u1330, _u1334)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1328, tc_HOL_Obool)), _u1332), _u1334)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_antisym__Id__on ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_antisym__Id__on-1, axiom, ( c_Relation_Oantisym(_u1335, c_Relation_OId__on(_u1335, _u1336)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_antisymD ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_antisymD-1, axiom, ( ~c_Relation_Oantisym(_u1337, _u1338) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1337, _u1337)), hAPP(hAPP(c_Product__Type_OPair(_u1337, _u1337), _u1339), _u1340)), _u1338)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1337, _u1337)), hAPP(hAPP(c_Product__Type_OPair(_u1337, _u1337), _u1340), _u1339)), _u1338)) | ( _u1339 = _u1340) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_antisym__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_antisym__def-1, axiom, ( ~c_Relation_Oantisym(_u1347, _u1349) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1347, _u1347)), hAPP(hAPP(c_Product__Type_OPair(_u1347, _u1347), _u1342), _u1341)), _u1349)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1347, _u1347)), hAPP(hAPP(c_Product__Type_OPair(_u1347, _u1347), _u1341), _u1342)), _u1349)) | ( _u1342 = _u1341) )).
% 57.32/57.51 cnf(fact_antisym__def-2, axiom, ( c_Relation_Oantisym(_u1348, _u1350) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1348, _u1348)), hAPP(hAPP(c_Product__Type_OPair(_u1348, _u1348), skolem80(_u1350, _u1348)), skolem81(_u1350, _u1348))), _u1350)) )).
% 57.32/57.51 cnf(fact_antisym__def-3, axiom, ( c_Relation_Oantisym(_u1348, _u1350) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1348, _u1348)), hAPP(hAPP(c_Product__Type_OPair(_u1348, _u1348), skolem81(_u1350, _u1348)), skolem80(_u1350, _u1348))), _u1350)) )).
% 57.32/57.51 cnf(fact_antisym__def-4, axiom, ( c_Relation_Oantisym(_u1348, _u1350) | ( skolem80(_u1350, _u1348) != skolem81(_u1350, _u1348)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensional__funcset__restrict__domain ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensional__funcset__restrict__domain-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1351), _u1352), _u1353)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1351, _u1354)), _u1355), c_FuncSet_Oextensional__funcset(_u1351, _u1354, c_Set_Oinsert(_u1351, _u1352, _u1353), _u1356))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1351, _u1354)), c_Fun_Ofun__upd(_u1351, _u1354, _u1355, _u1352, c_HOL_Oundefined(_u1354))), c_FuncSet_Oextensional__funcset(_u1351, _u1354, _u1353, _u1356))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensional__funcset__extend__domainI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensional__funcset__extend__domainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1357), _u1358), _u1359)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1360, _u1357)), _u1361), c_FuncSet_Oextensional__funcset(_u1360, _u1357, _u1362, _u1359))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1360, _u1357)), c_Fun_Ofun__upd(_u1360, _u1357, _u1361, _u1363, _u1358)), c_FuncSet_Oextensional__funcset(_u1360, _u1357, c_Set_Oinsert(_u1360, _u1363, _u1362), _u1359))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u1368, c_Set_Oinsert(tc_prod(_u1368, _u1368), hAPP(hAPP(c_Product__Type_OPair(_u1368, _u1368), _u1370), _u1372), _u1374)) | c_Wellfounded_Owf(_u1368, _u1374) )).
% 57.32/57.51 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u1368, c_Set_Oinsert(tc_prod(_u1368, _u1368), hAPP(hAPP(c_Product__Type_OPair(_u1368, _u1368), _u1370), _u1372), _u1374)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1368, _u1368)), hAPP(hAPP(c_Product__Type_OPair(_u1368, _u1368), _u1372), _u1370)), c_Transitive__Closure_Ortrancl(_u1368, _u1374))) )).
% 57.32/57.51 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u1369, _u1375) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1369, _u1369)), hAPP(hAPP(c_Product__Type_OPair(_u1369, _u1369), _u1373), _u1371)), c_Transitive__Closure_Ortrancl(_u1369, _u1375))) | c_Wellfounded_Owf(_u1369, c_Set_Oinsert(tc_prod(_u1369, _u1369), hAPP(hAPP(c_Product__Type_OPair(_u1369, _u1369), _u1371), _u1373), _u1375)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_antisymI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_antisymI-1, axiom, ( c_Relation_Oantisym(_u1378, _u1379) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1378, _u1378)), hAPP(hAPP(c_Product__Type_OPair(_u1378, _u1378), skolem82(_u1379, _u1378)), skolem83(_u1379, _u1378))), _u1379)) )).
% 57.32/57.51 cnf(fact_antisymI-2, axiom, ( c_Relation_Oantisym(_u1378, _u1379) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1378, _u1378)), hAPP(hAPP(c_Product__Type_OPair(_u1378, _u1378), skolem83(_u1379, _u1378)), skolem82(_u1379, _u1378))), _u1379)) )).
% 57.32/57.51 cnf(fact_antisymI-3, axiom, ( c_Relation_Oantisym(_u1378, _u1379) | ( skolem82(_u1379, _u1378) != skolem83(_u1379, _u1378)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Range__Int__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1380, tc_HOL_Obool), c_Relation_ORange(_u1381, _u1380, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1381, _u1380), tc_HOL_Obool)), _u1382), _u1383)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1380, tc_HOL_Obool)), c_Relation_ORange(_u1381, _u1380, _u1382)), c_Relation_ORange(_u1381, _u1380, _u1383))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_equalityI-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1384, tc_HOL_Obool), _u1385, _u1386) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1384, tc_HOL_Obool), _u1386, _u1385) | ( _u1385 = _u1386) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_subsetD-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1387, tc_HOL_Obool), _u1388, _u1389) | ~hBOOL(hAPP(hAPP(c_member(_u1387), _u1390), _u1388)) | hBOOL(hAPP(hAPP(c_member(_u1387), _u1390), _u1389)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u1391, _u1392) | c_Wellfounded_Owf(_u1393, c_Relation_Oinv__image(_u1391, _u1393, _u1392, _u1394)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u1395, _u1396) | ~c_Wellfounded_Owf(_u1397, _u1398) | c_Wellfounded_Owf(tc_prod(_u1395, _u1397), c_Wellfounded_Olex__prod(_u1395, _u1397, _u1396, _u1398)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1399, tc_HOL_Obool), _u1400, _u1401) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1399, tc_HOL_Obool), c_Set_Oinsert(_u1399, _u1402, _u1400), c_Set_Oinsert(_u1399, _u1402, _u1401)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_subset__insertI2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1403, tc_HOL_Obool), _u1404, _u1405) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1403, tc_HOL_Obool), _u1404, c_Set_Oinsert(_u1403, _u1406, _u1405)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_subset__insertI-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1407, tc_HOL_Obool), _u1408, c_Set_Oinsert(_u1407, _u1409, _u1408)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1410, tc_HOL_Obool), _u1411, _u1412) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1410, tc_HOL_Obool), _u1413, _u1414) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1410, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1410, tc_HOL_Obool)), _u1411), _u1413), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1410, tc_HOL_Obool)), _u1412), _u1414)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__greatest-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1415, tc_HOL_Obool), _u1416, _u1417) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1415, tc_HOL_Obool), _u1416, _u1418) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1415, tc_HOL_Obool), _u1416, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1415, tc_HOL_Obool)), _u1417), _u1418)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__absorb1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1419, tc_HOL_Obool), _u1420, _u1421) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1419, tc_HOL_Obool)), _u1421), _u1420) = _u1420) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__absorb2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1422, tc_HOL_Obool), _u1423, _u1424) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1422, tc_HOL_Obool)), _u1423), _u1424) = _u1423) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__lower2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1425, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1425, tc_HOL_Obool)), _u1426), _u1427), _u1427) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__lower1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1428, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1428, tc_HOL_Obool)), _u1429), _u1430), _u1429) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u1431, _u1432)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1433, tc_HOL_Obool), _u1431, _u1434) | hBOOL(hAPP(_u1434, _u1432)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u1436, _u1438)) | hBOOL(hAPP(_u1437, _u1438)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1435, tc_HOL_Obool), _u1436, _u1437) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_subset__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1439, tc_HOL_Obool), _u1440, _u1440) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_set__eq__subset-1, axiom, ( ( _u1444 != _u1446) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1448, tc_HOL_Obool), _u1444, _u1446) )).
% 57.32/57.51 cnf(fact_set__eq__subset-2, axiom, ( ( _u1444 != _u1446) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1448, tc_HOL_Obool), _u1446, _u1444) )).
% 57.32/57.51 cnf(fact_set__eq__subset-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1449, tc_HOL_Obool), _u1445, _u1447) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1449, tc_HOL_Obool), _u1447, _u1445) | ( _u1445 = _u1447) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_equalityD1-1, axiom, ( ( _u1450 != _u1451) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1452, tc_HOL_Obool), _u1450, _u1451) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_equalityD2-1, axiom, ( ( _u1453 != _u1454) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1455, tc_HOL_Obool), _u1454, _u1453) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_subset__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1456, tc_HOL_Obool), _u1457, _u1458) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1456, tc_HOL_Obool), _u1458, _u1459) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1456, tc_HOL_Obool), _u1457, _u1459) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_equalityE-1, axiom, ( ( _u1460 != _u1461) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1462, tc_HOL_Obool), _u1460, _u1461) )).
% 57.32/57.51 cnf(fact_equalityE-2, axiom, ( ( _u1460 != _u1461) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1462, tc_HOL_Obool), _u1461, _u1460) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u1463, _u1464) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1463, _u1463), tc_HOL_Obool), _u1465, _u1464) | c_Wellfounded_Owf(_u1463, _u1465) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acc__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1466, _u1466), tc_HOL_Obool), _u1467, _u1468) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1466, tc_HOL_Obool), c_Wellfounded_Oacc(_u1466, _u1468), c_Wellfounded_Oacc(_u1466, _u1467)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Pi__anti__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Pi__anti__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1469, tc_HOL_Obool), _u1470, _u1471) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1469, _u1472), tc_HOL_Obool), c_FuncSet_OPi(_u1469, _u1472, _u1471, _u1473), c_FuncSet_OPi(_u1469, _u1472, _u1470, _u1473)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Domain__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1474, _u1475), tc_HOL_Obool), _u1476, _u1477) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1474, tc_HOL_Obool), c_Relation_ODomain(_u1474, _u1475, _u1476), c_Relation_ODomain(_u1474, _u1475, _u1477)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1478) | ~c_Orderings_Oord__class_Oless__eq(_u1478, _u1479, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1480), _u1481)) | c_Orderings_Oord__class_Oless__eq(_u1478, _u1479, _u1480) )).
% 57.32/57.51 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1478) | ~c_Orderings_Oord__class_Oless__eq(_u1478, _u1479, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1480), _u1481)) | c_Orderings_Oord__class_Oless__eq(_u1478, _u1479, _u1481) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1482) | ~c_Orderings_Oord__class_Oless__eq(_u1482, _u1483, _u1484) | ~c_Orderings_Oord__class_Oless__eq(_u1482, _u1485, _u1486) | c_Orderings_Oord__class_Oless__eq(_u1482, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1482), _u1483), _u1485), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1482), _u1484), _u1486)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1487) | ~c_Orderings_Oord__class_Oless__eq(_u1487, _u1488, _u1489) | ~c_Orderings_Oord__class_Oless__eq(_u1487, _u1488, _u1490) | c_Orderings_Oord__class_Oless__eq(_u1487, _u1488, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1487), _u1489), _u1490)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1491) | ~c_Orderings_Oord__class_Oless__eq(_u1491, _u1492, _u1493) | ~c_Orderings_Oord__class_Oless__eq(_u1491, _u1492, _u1494) | c_Orderings_Oord__class_Oless__eq(_u1491, _u1492, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1491), _u1493), _u1494)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1495) | ~c_Orderings_Oord__class_Oless__eq(_u1495, _u1496, _u1497) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1495), _u1497), _u1496) = _u1496) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1498) | ~c_Orderings_Oord__class_Oless__eq(_u1498, _u1499, _u1500) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1498), _u1499), _u1500) = _u1499) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1501) | ~c_Orderings_Oord__class_Oless__eq(_u1501, _u1502, _u1503) | c_Orderings_Oord__class_Oless__eq(_u1501, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1501), _u1504), _u1502), _u1503) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1505) | ~c_Orderings_Oord__class_Oless__eq(_u1505, _u1506, _u1507) | c_Orderings_Oord__class_Oless__eq(_u1505, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1505), _u1506), _u1508), _u1507) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1509) | ~c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), _u1511), _u1512)) | c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, _u1511) )).
% 57.32/57.51 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1509) | ~c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), _u1511), _u1512)) | c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, _u1512) )).
% 57.32/57.51 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u1509) | ~c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, _u1511) | ~c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, _u1512) | c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), _u1511), _u1512)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1513) | ~c_Orderings_Oord__class_Oless__eq(_u1513, _u1514, _u1515) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1513), _u1514), _u1515) = _u1514) )).
% 57.32/57.51 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1513) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1513), _u1514), _u1515) != _u1514) | c_Orderings_Oord__class_Oless__eq(_u1513, _u1514, _u1515) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1516) | c_Orderings_Oord__class_Oless__eq(_u1516, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1516), _u1517), _u1518), _u1518) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1519) | c_Orderings_Oord__class_Oless__eq(_u1519, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1519), _u1520), _u1521), _u1521) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1522) | c_Orderings_Oord__class_Oless__eq(_u1522, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1522), _u1523), _u1524), _u1523) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1525) | c_Orderings_Oord__class_Oless__eq(_u1525, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1525), _u1526), _u1527), _u1526) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_set__mp-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1528, tc_HOL_Obool), _u1529, _u1530) | ~hBOOL(hAPP(hAPP(c_member(_u1528), _u1531), _u1529)) | hBOOL(hAPP(hAPP(c_member(_u1528), _u1531), _u1530)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1532), _u1533), _u1534)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1532, tc_HOL_Obool), _u1534, _u1535) | hBOOL(hAPP(hAPP(c_member(_u1532), _u1533), _u1535)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_in__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1536, tc_HOL_Obool), _u1537, _u1538) | ~hBOOL(hAPP(hAPP(c_member(_u1536), _u1539), _u1537)) | hBOOL(hAPP(hAPP(c_member(_u1536), _u1539), _u1538)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u1540, _u1541) | c_Wellfounded_Owf(_u1540, c_Transitive__Closure_Otrancl(_u1540, _u1541)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1542, _u1542), tc_HOL_Obool), _u1543, _u1544) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1542, _u1542), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_u1542, _u1543), c_Transitive__Closure_Ortrancl(_u1542, _u1544)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1545, _u1545), tc_HOL_Obool), _u1546, _u1547) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1545, _u1545), tc_HOL_Obool), _u1547, c_Transitive__Closure_Ortrancl(_u1545, _u1546)) | ( c_Transitive__Closure_Ortrancl(_u1545, _u1547) = c_Transitive__Closure_Ortrancl(_u1545, _u1546)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1548, _u1548), tc_HOL_Obool), _u1549, c_Transitive__Closure_Ortrancl(_u1548, _u1550)) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1548, _u1548), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_u1548, _u1549), c_Transitive__Closure_Ortrancl(_u1548, _u1550)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u1551, _u1552) | c_Wellfounded_Owf(_u1551, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1551, _u1551), tc_HOL_Obool)), _u1552), _u1553)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u1554, _u1555) | c_Wellfounded_Owf(_u1554, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1554, _u1554), tc_HOL_Obool)), _u1556), _u1555)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u1557, _u1558) | c_Wellfounded_Oacyclic(_u1557, _u1558) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_antisym__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_antisym__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1559, _u1559), tc_HOL_Obool), _u1560, _u1561) | ~c_Relation_Oantisym(_u1559, _u1561) | c_Relation_Oantisym(_u1559, _u1560) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u1562, _u1563) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1562, _u1562), tc_HOL_Obool), _u1564, _u1563) | c_Wellfounded_Oacyclic(_u1562, _u1564) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_single__valued__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1565, _u1566), tc_HOL_Obool), _u1567, _u1568) | ~c_Relation_Osingle__valued(_u1565, _u1566, _u1568) | c_Relation_Osingle__valued(_u1565, _u1566, _u1567) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_pred__subset__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1572, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1572, tc_fun(_u1572, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1572)), _u1574), hAPP(hAPP(c_COMBC(_u1572, tc_fun(_u1572, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1572)), _u1576)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1572, tc_HOL_Obool), _u1574, _u1576) )).
% 57.32/57.51 cnf(fact_pred__subset__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1573, tc_HOL_Obool), _u1575, _u1577) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1573, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1573, tc_fun(_u1573, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1573)), _u1575), hAPP(hAPP(c_COMBC(_u1573, tc_fun(_u1573, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1573)), _u1577)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u1578, _u1579) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1578, _u1578)), hAPP(hAPP(c_Product__Type_OPair(_u1578, _u1578), _u1580), _u1580)), _u1579)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u1581, _u1582) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1581, _u1581)), hAPP(hAPP(c_Product__Type_OPair(_u1581, _u1581), _u1583), _u1584)), _u1582)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1581, _u1581)), hAPP(hAPP(c_Product__Type_OPair(_u1581, _u1581), _u1584), _u1583)), _u1582)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u1585, _u1586) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1585, _u1585)), hAPP(hAPP(c_Product__Type_OPair(_u1585, _u1585), _u1587), _u1588)), _u1586)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1585, _u1585)), hAPP(hAPP(c_Product__Type_OPair(_u1585, _u1585), _u1588), _u1587)), _u1586)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u1589, _u1590) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1589, _u1589)), hAPP(hAPP(c_Product__Type_OPair(_u1589, _u1589), _u1591), _u1591)), _u1590)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1596, tc_HOL_Obool), c_Set_Oinsert(_u1596, _u1598, _u1600), _u1602) | hBOOL(hAPP(hAPP(c_member(_u1596), _u1598), _u1602)) )).
% 57.32/57.51 cnf(fact_insert__subset-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1596, tc_HOL_Obool), c_Set_Oinsert(_u1596, _u1598, _u1600), _u1602) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1596, tc_HOL_Obool), _u1600, _u1602) )).
% 57.32/57.51 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1597), _u1599), _u1603)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1597, tc_HOL_Obool), _u1601, _u1603) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1597, tc_HOL_Obool), c_Set_Oinsert(_u1597, _u1599, _u1601), _u1603) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1604), _u1605), _u1606)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1604, tc_HOL_Obool), _u1606, c_Set_Oinsert(_u1604, _u1605, _u1607)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1604, tc_HOL_Obool), _u1606, _u1607) )).
% 57.32/57.51 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1604), _u1605), _u1606)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1604, tc_HOL_Obool), _u1606, _u1607) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1604, tc_HOL_Obool), _u1606, c_Set_Oinsert(_u1604, _u1605, _u1607)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u1612, _u1614) | hBOOL(hAPP(hAPP(c_member(_u1612), _u1608), c_Wellfounded_Oacc(_u1612, _u1614))) )).
% 57.32/57.51 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1613), skolem84(_u1615, _u1613)), c_Wellfounded_Oacc(_u1613, _u1615))) | c_Wellfounded_Owf(_u1613, _u1615) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u1616, _u1617) | hBOOL(hAPP(hAPP(c_member(_u1616), _u1618), c_Wellfounded_Oacc(_u1616, _u1617))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1619, _u1619)), _u1620), c_Transitive__Closure_Otrancl(_u1619, _u1621))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1619, _u1619), tc_HOL_Obool), _u1621, _u1622) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1619, _u1619)), _u1620), c_Transitive__Closure_Otrancl(_u1619, _u1622))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensional__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensional__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1623, _u1624)), _u1625), c_FuncSet_Oextensional(_u1623, _u1624, _u1626))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1623, tc_HOL_Obool), _u1626, _u1627) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1623, _u1624)), _u1625), c_FuncSet_Oextensional(_u1623, _u1624, _u1627))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Domain__Int__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1628, tc_HOL_Obool), c_Relation_ODomain(_u1628, _u1629, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1628, _u1629), tc_HOL_Obool)), _u1630), _u1631)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1628, tc_HOL_Obool)), c_Relation_ODomain(_u1628, _u1629, _u1630)), c_Relation_ODomain(_u1628, _u1629, _u1631))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_fun__upd__triv-1, axiom, ( ( c_Fun_Ofun__upd(_u1632, _u1633, _u1634, _u1635, hAPP(_u1634, _u1635)) = _u1634) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u1636) | c_Orderings_Oord__class_Oless__eq(_u1636, _u1637, _u1637) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u1638, c_Wellfounded_Omeasure(_u1638, _u1639)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u1640) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1641, _u1640), _u1642, _u1643) | c_Orderings_Oord__class_Oless__eq(_u1640, hAPP(_u1642, _u1644), hAPP(_u1643, _u1644)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_accp__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1645, tc_fun(_u1645, tc_HOL_Obool)), _u1646, _u1647) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1645, tc_HOL_Obool), c_Wellfounded_Oaccp(_u1645, _u1647), c_Wellfounded_Oaccp(_u1645, _u1646)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_pred__subset__eq2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1652, tc_fun(_u1654, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1652, tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_fun(_u1654, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1654, tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_fun(_u1654, tc_HOL_Obool)), _u1652, c_COMBC(_u1654, tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1654, tc_prod(_u1652, _u1654)), tc_fun(_u1654, tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), _u1652, c_COMBB(tc_prod(_u1652, _u1654), tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool), _u1654, c_member(tc_prod(_u1652, _u1654)))), c_Product__Type_OPair(_u1652, _u1654)))), _u1656), hAPP(hAPP(c_COMBC(_u1652, tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_fun(_u1654, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1654, tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_fun(_u1654, tc_HOL_Obool)), _u1652, c_COMBC(_u1654, tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1654, tc_prod(_u1652, _u1654)), tc_fun(_u1654, tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), _u1652, c_COMBB(tc_prod(_u1652, _u1654), tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool), _u1654, c_member(tc_prod(_u1652, _u1654)))), c_Product__Type_OPair(_u1652, _u1654)))), _u1658)) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), _u1656, _u1658) )).
% 57.32/57.51 cnf(fact_pred__subset__eq2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), _u1657, _u1659) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1653, tc_fun(_u1655, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1653, tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_fun(_u1655, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1655, tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_fun(_u1655, tc_HOL_Obool)), _u1653, c_COMBC(_u1655, tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1655, tc_prod(_u1653, _u1655)), tc_fun(_u1655, tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), _u1653, c_COMBB(tc_prod(_u1653, _u1655), tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool), _u1655, c_member(tc_prod(_u1653, _u1655)))), c_Product__Type_OPair(_u1653, _u1655)))), _u1657), hAPP(hAPP(c_COMBC(_u1653, tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_fun(_u1655, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1655, tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_fun(_u1655, tc_HOL_Obool)), _u1653, c_COMBC(_u1655, tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1655, tc_prod(_u1653, _u1655)), tc_fun(_u1655, tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), _u1653, c_COMBB(tc_prod(_u1653, _u1655), tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool), _u1655, c_member(tc_prod(_u1653, _u1655)))), c_Product__Type_OPair(_u1653, _u1655)))), _u1659)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1660) | c_Orderings_Oord__class_Oless__eq(_u1660, _u1661, _u1662) | c_Orderings_Oord__class_Oless__eq(_u1660, _u1662, _u1661) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u1663) | ( _u1664 != _u1665) | c_Orderings_Oord__class_Oless__eq(_u1663, _u1664, _u1665) )).
% 57.32/57.51 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u1663) | ( _u1664 != _u1665) | c_Orderings_Oord__class_Oless__eq(_u1663, _u1665, _u1664) )).
% 57.32/57.51 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u1663) | ~c_Orderings_Oord__class_Oless__eq(_u1663, _u1664, _u1665) | ~c_Orderings_Oord__class_Oless__eq(_u1663, _u1665, _u1664) | ( _u1664 = _u1665) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u1666) | ( _u1667 != _u1668) | c_Orderings_Oord__class_Oless__eq(_u1666, _u1667, _u1668) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u1669) | ~c_Orderings_Oord__class_Oless__eq(_u1669, _u1670, _u1671) | ~c_Orderings_Oord__class_Oless__eq(_u1669, _u1671, _u1670) | ( _u1671 = _u1670) )).
% 57.32/57.51 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u1669) | ~c_Orderings_Oord__class_Oless__eq(_u1669, _u1670, _u1671) | ( _u1671 != _u1670) | c_Orderings_Oord__class_Oless__eq(_u1669, _u1671, _u1670) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u1672) | ( _u1673 != _u1674) | ~c_Orderings_Oord__class_Oless__eq(_u1672, _u1674, _u1675) | c_Orderings_Oord__class_Oless__eq(_u1672, _u1673, _u1675) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u1676) | ( _u1677 != _u1678) | ~c_Orderings_Oord__class_Oless__eq(_u1676, _u1679, _u1678) | c_Orderings_Oord__class_Oless__eq(_u1676, _u1679, _u1677) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1680) | ~c_Orderings_Oord__class_Oless__eq(_u1680, _u1681, _u1682) | ( _u1682 != _u1683) | c_Orderings_Oord__class_Oless__eq(_u1680, _u1681, _u1683) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u1684) | ~c_Orderings_Oord__class_Oless__eq(_u1684, _u1685, _u1686) | ( _u1685 != _u1687) | c_Orderings_Oord__class_Oless__eq(_u1684, _u1687, _u1686) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u1688) | ~c_Orderings_Oord__class_Oless__eq(_u1688, _u1689, _u1690) | ~c_Orderings_Oord__class_Oless__eq(_u1688, _u1690, _u1689) | ( _u1689 = _u1690) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1691) | ~c_Orderings_Oord__class_Oless__eq(_u1691, _u1692, _u1693) | ~c_Orderings_Oord__class_Oless__eq(_u1691, _u1693, _u1694) | c_Orderings_Oord__class_Oless__eq(_u1691, _u1692, _u1694) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u1695) | ~c_Orderings_Oord__class_Oless__eq(_u1695, _u1696, _u1697) | ~c_Orderings_Oord__class_Oless__eq(_u1695, _u1697, _u1696) | ( _u1697 = _u1696) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u1698) | ~c_Orderings_Oord__class_Oless__eq(_u1698, _u1699, _u1700) | ~c_Orderings_Oord__class_Oless__eq(_u1698, _u1701, _u1699) | c_Orderings_Oord__class_Oless__eq(_u1698, _u1701, _u1700) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1702) | c_Orderings_Oord__class_Oless__eq(_u1702, _u1703, _u1704) | c_Orderings_Oord__class_Oless__eq(_u1702, _u1704, _u1703) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u1714, _u1716) = _u1718) | ( c_Fun_Ofun__upd(_u1710, _u1712, _u1714, _u1716, _u1718) != _u1714) )).
% 57.32/57.51 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u1715, _u1717) != _u1719) | ( c_Fun_Ofun__upd(_u1711, _u1713, _u1715, _u1717, _u1719) = _u1715) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_fun__upd__upd-1, axiom, ( ( c_Fun_Ofun__upd(_u1720, _u1721, c_Fun_Ofun__upd(_u1720, _u1721, _u1722, _u1723, _u1724), _u1723, _u1725) = c_Fun_Ofun__upd(_u1720, _u1721, _u1722, _u1723, _u1725)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(c_Fun_Ofun__upd(_u1726, _u1727, _u1728, _u1729, _u1730), _u1729) = _u1730) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_fun__upd__apply-1, axiom, ( ( _u1737 != _u1739) | ( hAPP(c_Fun_Ofun__upd(_u1741, _u1743, _u1745, _u1739, _u1747), _u1737) = _u1747) )).
% 57.32/57.51 cnf(fact_fun__upd__apply-2, axiom, ( ( _u1738 = _u1740) | ( hAPP(c_Fun_Ofun__upd(_u1742, _u1744, _u1746, _u1740, _u1748), _u1738) = hAPP(_u1746, _u1738)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_fun__upd__twist-1, axiom, ( ( _u1749 = _u1750) | ( c_Fun_Ofun__upd(_u1751, _u1752, c_Fun_Ofun__upd(_u1751, _u1752, _u1753, _u1749, _u1754), _u1750, _u1755) = c_Fun_Ofun__upd(_u1751, _u1752, c_Fun_Ofun__upd(_u1751, _u1752, _u1753, _u1750, _u1755), _u1749, _u1754)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_fun__upd__other-1, axiom, ( ( _u1756 = _u1757) | ( hAPP(c_Fun_Ofun__upd(_u1758, _u1759, _u1760, _u1757, _u1761), _u1756) = hAPP(_u1760, _u1756)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u1762, _u1763) != _u1764) | ( c_Fun_Ofun__upd(_u1765, _u1766, _u1762, _u1763, _u1764) = _u1762) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_fun__upd__def-1, axiom, ( ( _u1773 != _u1775) | ( hAPP(c_Fun_Ofun__upd(_u1777, _u1779, _u1781, _u1775, _u1783), _u1773) = _u1783) )).
% 57.32/57.51 cnf(fact_fun__upd__def-2, axiom, ( ( _u1774 = _u1776) | ( hAPP(c_Fun_Ofun__upd(_u1778, _u1780, _u1782, _u1776, _u1784), _u1774) = hAPP(_u1782, _u1774)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u1787) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1788, _u1787), _u1789, _u1790) | c_Orderings_Oord__class_Oless__eq(_u1787, hAPP(_u1789, _u1785), hAPP(_u1790, _u1785)) )).
% 57.32/57.51 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u1787) | ~c_Orderings_Oord__class_Oless__eq(_u1787, hAPP(_u1789, skolem85(_u1790, _u1789, _u1788, _u1787)), hAPP(_u1790, skolem85(_u1790, _u1789, _u1788, _u1787))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1788, _u1787), _u1789, _u1790) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u1791) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1792, _u1791), _u1793, _u1794) | c_Orderings_Oord__class_Oless__eq(_u1791, hAPP(_u1793, _u1795), hAPP(_u1794, _u1795)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u1800, _u1798), c_Recdef_Osame__fst(_u1800, _u1798, _u1797, _u1799)) | hBOOL(hAPP(_u1797, skolem86(_u1800, _u1799, _u1798, _u1797))) )).
% 57.32/57.51 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u1800, _u1798), c_Recdef_Osame__fst(_u1800, _u1798, _u1797, _u1799)) | ~c_Wellfounded_Owf(_u1798, hAPP(_u1799, skolem86(_u1800, _u1799, _u1798, _u1797))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_tfl__wfrec ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_tfl__wfrec-1, axiom, ( ~c_Wellfounded_Owf(_u1804, _u1802) | ( hAPP(c_Recdef_Owfrec(_u1804, _u1805, _u1802, _u1803), _u1801) = hAPP(hAPP(_u1803, hAPP(hAPP(hAPP(c_Recdef_Ocut(_u1804, _u1805), c_Recdef_Owfrec(_u1804, _u1805, _u1802, _u1803)), _u1802), _u1801)), _u1801)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfrec ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfrec-1, axiom, ( ~c_Wellfounded_Owf(_u1806, _u1807) | ( hAPP(c_Recdef_Owfrec(_u1806, _u1808, _u1807, _u1809), _u1810) = hAPP(hAPP(_u1809, hAPP(hAPP(hAPP(c_Recdef_Ocut(_u1806, _u1808), c_Recdef_Owfrec(_u1806, _u1808, _u1807, _u1809)), _u1807), _u1810)), _u1810)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u1813, _u1815), _u1816)) | hBOOL(hAPP(hAPP(_u1814, _u1815), _u1816)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1811, tc_fun(_u1812, tc_HOL_Obool)), _u1813, _u1814) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u1817, _u1818), _u1819)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1820, tc_fun(_u1821, tc_HOL_Obool)), _u1817, _u1822) | hBOOL(hAPP(hAPP(_u1822, _u1818), _u1819)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_def__wfrec ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_def__wfrec-1, axiom, ( ( _u1823 != c_Recdef_Owfrec(_u1824, _u1825, _u1826, _u1827)) | ~c_Wellfounded_Owf(_u1824, _u1826) | ( hAPP(_u1823, _u1828) = hAPP(hAPP(_u1827, hAPP(hAPP(hAPP(c_Recdef_Ocut(_u1824, _u1825), _u1823), _u1826), _u1828)), _u1828)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfrec__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfrec__def-1, axiom, ( ( hAPP(c_Recdef_Owfrec(_u1829, _u1830, _u1831, _u1832), _u1833) = c_HOL_OThe(_u1830, c_Recdef_Owfrec__rel(_u1829, _u1830, _u1831, hAPP(hAPP(c_COMBC(tc_fun(_u1829, _u1830), tc_fun(_u1829, _u1829), tc_fun(_u1829, _u1830)), hAPP(c_COMBB(tc_fun(_u1829, tc_fun(_u1829, _u1830)), tc_fun(tc_fun(_u1829, _u1829), tc_fun(_u1829, _u1830)), tc_fun(_u1829, _u1830), c_COMBS(_u1829, _u1829, _u1830)), hAPP(c_COMBB(tc_fun(_u1829, tc_fun(_u1829, _u1830)), tc_fun(_u1829, tc_fun(_u1829, _u1830)), tc_fun(_u1829, _u1830), c_COMBB(tc_fun(_u1829, _u1830), tc_fun(_u1829, _u1830), _u1829, _u1832)), hAPP(hAPP(c_COMBC(tc_fun(_u1829, _u1830), tc_fun(tc_prod(_u1829, _u1829), tc_HOL_Obool), tc_fun(_u1829, tc_fun(_u1829, _u1830))), c_Recdef_Ocut(_u1829, _u1830)), _u1831)))), c_COMBI(_u1829)), _u1833))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_mlex__leq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(_u1834, _u1835), hAPP(_u1834, _u1836)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1837, _u1837)), hAPP(hAPP(c_Product__Type_OPair(_u1837, _u1837), _u1835), _u1836)), _u1838)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1837, _u1837)), hAPP(hAPP(c_Product__Type_OPair(_u1837, _u1837), _u1835), _u1836)), c_Wellfounded_Omlex__prod(_u1837, _u1834, _u1838))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfrec__unique ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfrec__unique-1, axiom, ( ~c_Recdef_Oadm__wf(_u1841, _u1842, _u1843, _u1844) | ~c_Wellfounded_Owf(_u1841, _u1843) | hBOOL(hAPP(c_Recdef_Owfrec__rel(_u1841, _u1842, _u1843, _u1844, _u1845), skolem87(_u1845, _u1844, _u1843, _u1842, _u1841))) )).
% 57.32/57.51 cnf(fact_wfrec__unique-2, axiom, ( ~c_Recdef_Oadm__wf(_u1841, _u1842, _u1843, _u1844) | ~c_Wellfounded_Owf(_u1841, _u1843) | ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u1841, _u1842, _u1843, _u1844, _u1845), _u1839)) | ( _u1839 = skolem87(_u1845, _u1844, _u1843, _u1842, _u1841)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u1846, _u1847) | c_Wellfounded_Owf(_u1846, c_Wellfounded_Omlex__prod(_u1846, _u1848, _u1847)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Nitpick_Owfrec_H__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Nitpick_Owfrec_H__def-1, axiom, ( ~c_Wellfounded_Owf(_u1854, _u1856) | ( c_Nitpick_Owfrec_H(_u1854, _u1858, _u1856, _u1860, _u1862) = c_Nitpick_Owf__wfrec_H(_u1854, _u1858, _u1856, _u1860, _u1862)) )).
% 57.32/57.51 cnf(fact_Nitpick_Owfrec_H__def-2, axiom, ( c_Wellfounded_Owf(_u1855, _u1857) | ( c_Nitpick_Owfrec_H(_u1855, _u1859, _u1857, _u1861, _u1863) = c_HOL_OThe(_u1859, c_Recdef_Owfrec__rel(_u1855, _u1859, _u1857, hAPP(hAPP(c_COMBC(tc_fun(_u1855, _u1859), tc_fun(_u1855, _u1855), tc_fun(_u1855, _u1859)), hAPP(c_COMBB(tc_fun(_u1855, tc_fun(_u1855, _u1859)), tc_fun(tc_fun(_u1855, _u1855), tc_fun(_u1855, _u1859)), tc_fun(_u1855, _u1859), c_COMBS(_u1855, _u1855, _u1859)), hAPP(c_COMBB(tc_fun(_u1855, tc_fun(_u1855, _u1859)), tc_fun(_u1855, tc_fun(_u1855, _u1859)), tc_fun(_u1855, _u1859), c_COMBB(tc_fun(_u1855, _u1859), tc_fun(_u1855, _u1859), _u1855, _u1861)), hAPP(hAPP(c_COMBC(tc_fun(_u1855, _u1859), tc_fun(tc_prod(_u1855, _u1855), tc_HOL_Obool), tc_fun(_u1855, tc_fun(_u1855, _u1859))), c_Recdef_Ocut(_u1855, _u1859)), _u1857)))), c_COMBI(_u1855)), _u1863))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u1864, hAPP(c_fequal, _u1865)) = _u1865) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u1866, hAPP(hAPP(c_COMBC(_u1866, _u1866, tc_HOL_Obool), c_fequal), _u1867)) = _u1867) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Nitpick_Owf__wfrec_H__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Nitpick_Owf__wfrec_H__def-1, axiom, ( ( c_Nitpick_Owf__wfrec_H(_u1868, _u1869, _u1870, _u1871, _u1872) = hAPP(hAPP(_u1871, hAPP(hAPP(hAPP(c_Recdef_Ocut(_u1868, _u1869), c_Nitpick_Owf__wfrec(_u1868, _u1869, _u1870, _u1871)), _u1870), _u1872)), _u1872)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Pi__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Pi__mono-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1874, _u1876), tc_HOL_Obool), c_FuncSet_OPi(_u1874, _u1876, _u1875, _u1877), c_FuncSet_OPi(_u1874, _u1876, _u1875, _u1878)) | hBOOL(hAPP(hAPP(c_member(_u1874), skolem88(_u1878, _u1877, _u1876, _u1875, _u1874)), _u1875)) )).
% 57.32/57.51 cnf(fact_Pi__mono-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1874, _u1876), tc_HOL_Obool), c_FuncSet_OPi(_u1874, _u1876, _u1875, _u1877), c_FuncSet_OPi(_u1874, _u1876, _u1875, _u1878)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1876, tc_HOL_Obool), hAPP(_u1877, skolem88(_u1878, _u1877, _u1876, _u1875, _u1874)), hAPP(_u1878, skolem88(_u1878, _u1877, _u1876, _u1875, _u1874))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u1881, hAPP(hAPP(c_COMBC(_u1881, tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_fun(_u1881, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1881, tc_fun(tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_fun(_u1881, tc_HOL_Obool)), _u1881, c_COMBC(_u1881, tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1881, tc_prod(_u1881, _u1881)), tc_fun(_u1881, tc_fun(tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_HOL_Obool)), _u1881, c_COMBB(tc_prod(_u1881, _u1881), tc_fun(tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_HOL_Obool), _u1881, c_member(tc_prod(_u1881, _u1881)))), c_Product__Type_OPair(_u1881, _u1881)))), _u1883)) | c_Wellfounded_Owf(_u1881, _u1883) )).
% 57.32/57.51 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u1882, _u1884) | c_Wellfounded_OwfP(_u1882, hAPP(hAPP(c_COMBC(_u1882, tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_fun(_u1882, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1882, tc_fun(tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_fun(_u1882, tc_HOL_Obool)), _u1882, c_COMBC(_u1882, tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1882, tc_prod(_u1882, _u1882)), tc_fun(_u1882, tc_fun(tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_HOL_Obool)), _u1882, c_COMBB(tc_prod(_u1882, _u1882), tc_fun(tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_HOL_Obool), _u1882, c_member(tc_prod(_u1882, _u1882)))), c_Product__Type_OPair(_u1882, _u1882)))), _u1884)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u1885, c_COMBK(tc_fun(_u1885, tc_HOL_Obool), _u1885, c_COMBK(tc_HOL_Obool, _u1885, c_fFalse))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u1890, _u1892) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u1890, _u1892), _u1886)) )).
% 57.32/57.51 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u1891, _u1893), skolem89(_u1893, _u1891))) | c_Wellfounded_OwfP(_u1891, _u1893) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u1894, _u1895) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u1894, _u1895), _u1896)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfP__trancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfP__trancl-1, axiom, ( ~c_Wellfounded_OwfP(_u1897, _u1898) | c_Wellfounded_OwfP(_u1897, c_Transitive__Closure_Otranclp(_u1897, _u1898)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u1899, _u1900) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1899, tc_fun(_u1899, tc_HOL_Obool)), _u1901, _u1900) | c_Wellfounded_OwfP(_u1899, _u1901) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u1902, _u1903) | c_Wellfounded_OwfP(_u1902, c_FunDef_Oin__rel(_u1902, _u1902, _u1903)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u1914, _u1916) | ~hBOOL(hAPP(hAPP(c_member(_u1914), _u1904), _u1907)) | hBOOL(hAPP(hAPP(c_member(_u1914), skolem90(_u1916, _u1914, _u1907)), _u1907)) )).
% 57.32/57.51 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u1914, _u1916) | ~hBOOL(hAPP(hAPP(c_member(_u1914), _u1904), _u1907)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1914, _u1914)), hAPP(hAPP(c_Product__Type_OPair(_u1914, _u1914), _u1905), skolem90(_u1916, _u1914, _u1907))), _u1916)) | ~hBOOL(hAPP(hAPP(c_member(_u1914), _u1905), _u1907)) )).
% 57.32/57.51 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u1915, _u1917) | hBOOL(hAPP(hAPP(c_member(_u1915), skolem92(_u1917, _u1915)), skolem91(_u1917, _u1915))) )).
% 57.32/57.51 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u1915, _u1917) | ~hBOOL(hAPP(hAPP(c_member(_u1915), _u1910), skolem91(_u1917, _u1915))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1915, _u1915)), hAPP(hAPP(c_Product__Type_OPair(_u1915, _u1915), skolem93(_u1917, _u1915, _u1910)), _u1910)), _u1917)) )).
% 57.32/57.51 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u1915, _u1917) | ~hBOOL(hAPP(hAPP(c_member(_u1915), _u1910), skolem91(_u1917, _u1915))) | hBOOL(hAPP(hAPP(c_member(_u1915), skolem93(_u1917, _u1915, _u1910)), skolem91(_u1917, _u1915))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1918, _u1918)), hAPP(hAPP(c_Product__Type_OPair(_u1918, _u1918), _u1919), _u1920)), c_Transitive__Closure_Ortrancl(_u1918, _u1921))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1918, _u1918), tc_HOL_Obool), _u1921, c_Product__Type_OSigma(_u1918, _u1918, _u1922, c_COMBK(tc_fun(_u1918, tc_HOL_Obool), _u1918, _u1922))) | ( _u1919 = _u1920) | hBOOL(hAPP(hAPP(c_member(_u1918), _u1919), _u1922)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_the__inv__into__def-1, axiom, ( ( c_Fun_Othe__inv__into(_u1923, _u1924, _u1925, _u1926, _u1927) = c_HOL_OThe(_u1923, hAPP(hAPP(c_COMBS(_u1923, tc_HOL_Obool, tc_HOL_Obool), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1923, c_fconj), hAPP(hAPP(c_COMBC(_u1923, tc_fun(_u1923, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1923)), _u1925))), hAPP(hAPP(c_COMBC(_u1923, _u1924, tc_HOL_Obool), hAPP(c_COMBB(_u1924, tc_fun(_u1924, tc_HOL_Obool), _u1923, c_fequal), _u1926)), _u1927)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1928, _u1928), tc_HOL_Obool), _u1929, c_Product__Type_OSigma(_u1928, _u1928, _u1930, c_COMBK(tc_fun(_u1928, tc_HOL_Obool), _u1928, _u1930))) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1928, _u1928), tc_HOL_Obool), c_Transitive__Closure_Otrancl(_u1928, _u1929), c_Product__Type_OSigma(_u1928, _u1928, _u1930, c_COMBK(tc_fun(_u1928, tc_HOL_Obool), _u1928, _u1930))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Id__on__subset__Times-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1931, _u1931), tc_HOL_Obool), c_Relation_OId__on(_u1931, _u1932), c_Product__Type_OSigma(_u1931, _u1931, _u1932, c_COMBK(tc_fun(_u1931, tc_HOL_Obool), _u1931, _u1932))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u1938, _u1940, _u1942) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1938, _u1938), tc_HOL_Obool), _u1942, c_Product__Type_OSigma(_u1938, _u1938, _u1940, c_COMBK(tc_fun(_u1938, tc_HOL_Obool), _u1938, _u1940))) )).
% 57.32/57.51 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u1938, _u1940, _u1942) | ~hBOOL(hAPP(hAPP(c_member(_u1938), _u1933), _u1940)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1938, _u1938)), hAPP(hAPP(c_Product__Type_OPair(_u1938, _u1938), _u1933), _u1933)), _u1942)) )).
% 57.32/57.51 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u1939, _u1941, _u1943) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1939, _u1939), tc_HOL_Obool), _u1943, c_Product__Type_OSigma(_u1939, _u1939, _u1941, c_COMBK(tc_fun(_u1939, tc_HOL_Obool), _u1939, _u1941))) | hBOOL(hAPP(hAPP(c_member(_u1939), skolem94(_u1943, _u1941, _u1939)), _u1941)) )).
% 57.32/57.51 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u1939, _u1941, _u1943) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1939, _u1939), tc_HOL_Obool), _u1943, c_Product__Type_OSigma(_u1939, _u1939, _u1941, c_COMBK(tc_fun(_u1939, tc_HOL_Obool), _u1939, _u1941))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1939, _u1939)), hAPP(hAPP(c_Product__Type_OPair(_u1939, _u1939), skolem94(_u1943, _u1941, _u1939)), skolem94(_u1943, _u1941, _u1939))), _u1943)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1944), _u1945), _u1946)) | ~hBOOL(hAPP(hAPP(c_member(_u1947), _u1948), hAPP(_u1949, _u1945))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1944, _u1947)), hAPP(hAPP(c_Product__Type_OPair(_u1944, _u1947), _u1945), _u1948)), c_Product__Type_OSigma(_u1944, _u1947, _u1946, _u1949))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1950), _u1951), _u1952)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1953, _u1950), tc_HOL_Obool), c_Product__Type_OSigma(_u1953, _u1950, _u1954, c_COMBK(tc_fun(_u1950, tc_HOL_Obool), _u1953, _u1952)), c_Product__Type_OSigma(_u1953, _u1950, _u1955, c_COMBK(tc_fun(_u1950, tc_HOL_Obool), _u1953, _u1952))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1953, tc_HOL_Obool), _u1954, _u1955) )).
% 57.32/57.51 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1950), _u1951), _u1952)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1953, tc_HOL_Obool), _u1954, _u1955) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1953, _u1950), tc_HOL_Obool), c_Product__Type_OSigma(_u1953, _u1950, _u1954, c_COMBK(tc_fun(_u1950, tc_HOL_Obool), _u1953, _u1952)), c_Product__Type_OSigma(_u1953, _u1950, _u1955, c_COMBK(tc_fun(_u1950, tc_HOL_Obool), _u1953, _u1952))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1956, _u1957)), hAPP(hAPP(c_Product__Type_OPair(_u1956, _u1957), _u1958), _u1959)), c_Product__Type_OSigma(_u1956, _u1957, _u1960, _u1961))) | hBOOL(hAPP(hAPP(c_member(_u1956), _u1958), _u1960)) )).
% 57.32/57.51 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1956, _u1957)), hAPP(hAPP(c_Product__Type_OPair(_u1956, _u1957), _u1958), _u1959)), c_Product__Type_OSigma(_u1956, _u1957, _u1960, _u1961))) | hBOOL(hAPP(hAPP(c_member(_u1957), _u1959), hAPP(_u1961, _u1958))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u1962, _u1963), _u1964), _u1965) != hAPP(hAPP(c_Product__Type_OPair(_u1962, _u1963), _u1966), _u1967)) | ( _u1964 = _u1966) )).
% 57.32/57.51 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u1962, _u1963), _u1964), _u1965) != hAPP(hAPP(c_Product__Type_OPair(_u1962, _u1963), _u1966), _u1967)) | ( _u1965 = _u1967) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u1974, _u1976), _u1978), _u1980) != hAPP(hAPP(c_Product__Type_OPair(_u1974, _u1976), _u1982), _u1984)) | ( _u1978 = _u1982) )).
% 57.32/57.51 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u1974, _u1976), _u1978), _u1980) != hAPP(hAPP(c_Product__Type_OPair(_u1974, _u1976), _u1982), _u1984)) | ( _u1980 = _u1984) )).
% 57.32/57.51 cnf(fact_Pair__eq-3, axiom, ( ( _u1979 != _u1983) | ( _u1981 != _u1985) | ( hAPP(hAPP(c_Product__Type_OPair(_u1975, _u1977), _u1979), _u1981) = hAPP(hAPP(c_Product__Type_OPair(_u1975, _u1977), _u1983), _u1985)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u1995, skolem95(_u1999, _u1997, _u1995))) | hBOOL(hAPP(_u1995, hAPP(hAPP(c_Product__Type_OPair(_u1997, _u1999), _u1988), _u1987))) )).
% 57.32/57.51 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u1996, hAPP(hAPP(c_Product__Type_OPair(_u1998, _u2000), skolem96(_u2000, _u1998, _u1996)), skolem97(_u2000, _u1998, _u1996)))) | hBOOL(hAPP(_u1996, _u1991)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2001), _u2002), _u2003)) | ( c_Product__Type_OSigma(_u2004, _u2001, _u2005, c_COMBK(tc_fun(_u2001, tc_HOL_Obool), _u2004, _u2003)) != c_Product__Type_OSigma(_u2004, _u2001, _u2006, c_COMBK(tc_fun(_u2001, tc_HOL_Obool), _u2004, _u2003))) | ( _u2005 = _u2006) )).
% 57.32/57.51 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2001), _u2002), _u2003)) | ( _u2005 != _u2006) | ( c_Product__Type_OSigma(_u2004, _u2001, _u2005, c_COMBK(tc_fun(_u2001, tc_HOL_Obool), _u2004, _u2003)) = c_Product__Type_OSigma(_u2004, _u2001, _u2006, c_COMBK(tc_fun(_u2001, tc_HOL_Obool), _u2004, _u2003))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( c_Product__Type_OSigma(_u2007, _u2008, _u2009, hAPP(hAPP(c_COMBS(_u2007, tc_fun(_u2008, tc_HOL_Obool), tc_fun(_u2008, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2008, tc_HOL_Obool), tc_fun(tc_fun(_u2008, tc_HOL_Obool), tc_fun(_u2008, tc_HOL_Obool)), _u2007, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2008, tc_HOL_Obool))), _u2010)), _u2011)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u2007, _u2008), tc_HOL_Obool)), c_Product__Type_OSigma(_u2007, _u2008, _u2009, _u2010)), c_Product__Type_OSigma(_u2007, _u2008, _u2009, _u2011))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Times__Int__distrib1-1, axiom, ( ( c_Product__Type_OSigma(_u2012, _u2013, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2012, tc_HOL_Obool)), _u2014), _u2015), c_COMBK(tc_fun(_u2013, tc_HOL_Obool), _u2012, _u2016)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u2012, _u2013), tc_HOL_Obool)), c_Product__Type_OSigma(_u2012, _u2013, _u2014, c_COMBK(tc_fun(_u2013, tc_HOL_Obool), _u2012, _u2016))), c_Product__Type_OSigma(_u2012, _u2013, _u2015, c_COMBK(tc_fun(_u2013, tc_HOL_Obool), _u2012, _u2016)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( c_Product__Type_OSigma(_u2017, _u2018, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2017, tc_HOL_Obool)), _u2019), _u2020), _u2021) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u2017, _u2018), tc_HOL_Obool)), c_Product__Type_OSigma(_u2017, _u2018, _u2019, _u2021)), c_Product__Type_OSigma(_u2017, _u2018, _u2020, _u2021))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2028, _u2030)), hAPP(hAPP(c_Product__Type_OPair(_u2028, _u2030), _u2032), _u2034)), c_Product__Type_OSigma(_u2028, _u2030, _u2036, _u2038))) | hBOOL(hAPP(hAPP(c_member(_u2028), _u2032), _u2036)) )).
% 57.32/57.51 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2028, _u2030)), hAPP(hAPP(c_Product__Type_OPair(_u2028, _u2030), _u2032), _u2034)), c_Product__Type_OSigma(_u2028, _u2030, _u2036, _u2038))) | hBOOL(hAPP(hAPP(c_member(_u2030), _u2034), hAPP(_u2038, _u2032))) )).
% 57.32/57.51 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2029), _u2033), _u2037)) | ~hBOOL(hAPP(hAPP(c_member(_u2031), _u2035), hAPP(_u2039, _u2033))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2029, _u2031)), hAPP(hAPP(c_Product__Type_OPair(_u2029, _u2031), _u2033), _u2035)), c_Product__Type_OSigma(_u2029, _u2031, _u2037, _u2039))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2040, _u2041)), hAPP(hAPP(c_Product__Type_OPair(_u2040, _u2041), _u2042), _u2043)), c_Product__Type_OSigma(_u2040, _u2041, _u2044, _u2045))) | hBOOL(hAPP(hAPP(c_member(_u2040), _u2042), _u2044)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2047), _u2049), hAPP(_u2051, _u2048))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2046, _u2047)), hAPP(hAPP(c_Product__Type_OPair(_u2046, _u2047), _u2048), _u2049)), c_Product__Type_OSigma(_u2046, _u2047, _u2050, _u2051))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_refl__onI-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2053, _u2053), tc_HOL_Obool), _u2054, c_Product__Type_OSigma(_u2053, _u2053, _u2055, c_COMBK(tc_fun(_u2053, tc_HOL_Obool), _u2053, _u2055))) | c_Relation_Orefl__on(_u2053, _u2055, _u2054) | hBOOL(hAPP(hAPP(c_member(_u2053), skolem98(_u2055, _u2054, _u2053)), _u2055)) )).
% 57.32/57.51 cnf(fact_refl__onI-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2053, _u2053), tc_HOL_Obool), _u2054, c_Product__Type_OSigma(_u2053, _u2053, _u2055, c_COMBK(tc_fun(_u2053, tc_HOL_Obool), _u2053, _u2055))) | c_Relation_Orefl__on(_u2053, _u2055, _u2054) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2053, _u2053)), hAPP(hAPP(c_Product__Type_OPair(_u2053, _u2053), skolem98(_u2055, _u2054, _u2053)), skolem98(_u2055, _u2054, _u2053))), _u2054)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u2056, _u2057, _u2058, _u2059, hAPP(hAPP(c_Product__Type_OPair(_u2056, _u2057), _u2060), _u2061)) = hAPP(hAPP(_u2059, _u2060), _u2061)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2064, _u2065)), _u2066), c_Product__Type_OSigma(_u2064, _u2065, _u2067, _u2068))) | hBOOL(hAPP(hAPP(c_member(_u2064), skolem99(_u2068, _u2067, _u2066, _u2065, _u2064)), _u2067)) )).
% 57.32/57.51 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2064, _u2065)), _u2066), c_Product__Type_OSigma(_u2064, _u2065, _u2067, _u2068))) | hBOOL(hAPP(hAPP(c_member(_u2065), skolem100(_u2068, _u2067, _u2066, _u2065, _u2064)), hAPP(_u2068, skolem99(_u2068, _u2067, _u2066, _u2065, _u2064)))) )).
% 57.32/57.51 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2064, _u2065)), _u2066), c_Product__Type_OSigma(_u2064, _u2065, _u2067, _u2068))) | ( _u2066 = hAPP(hAPP(c_Product__Type_OPair(_u2064, _u2065), skolem99(_u2068, _u2067, _u2066, _u2065, _u2064)), skolem100(_u2068, _u2067, _u2066, _u2065, _u2064))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Sigma__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2070, tc_HOL_Obool), _u2071, _u2072) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2070, _u2073), tc_HOL_Obool), c_Product__Type_OSigma(_u2070, _u2073, _u2071, _u2074), c_Product__Type_OSigma(_u2070, _u2073, _u2072, _u2075)) | hBOOL(hAPP(hAPP(c_member(_u2070), skolem101(_u2075, _u2074, _u2073, _u2072, _u2071, _u2070)), _u2071)) )).
% 57.32/57.51 cnf(fact_Sigma__mono-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2070, tc_HOL_Obool), _u2071, _u2072) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2070, _u2073), tc_HOL_Obool), c_Product__Type_OSigma(_u2070, _u2073, _u2071, _u2074), c_Product__Type_OSigma(_u2070, _u2073, _u2072, _u2075)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2073, tc_HOL_Obool), hAPP(_u2074, skolem101(_u2075, _u2074, _u2073, _u2072, _u2071, _u2070)), hAPP(_u2075, skolem101(_u2075, _u2074, _u2073, _u2072, _u2071, _u2070))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_internal__split__conv-1, axiom, ( ( c_Product__Type_Ointernal__split(_u2076, _u2077, _u2078, _u2079, hAPP(hAPP(c_Product__Type_OPair(_u2076, _u2077), _u2080), _u2081)) = hAPP(hAPP(_u2079, _u2080), _u2081)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__times__insert-1, axiom, ( ( c_Product__Type_OSigma(_u2082, _u2083, c_Set_Oinsert(_u2082, _u2084, _u2085), c_COMBK(tc_fun(_u2083, tc_HOL_Obool), _u2082, c_Set_Oinsert(_u2083, _u2086, _u2087))) = c_Set_Oinsert(tc_prod(_u2082, _u2083), hAPP(hAPP(c_Product__Type_OPair(_u2082, _u2083), _u2084), _u2086), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2082, _u2083), tc_HOL_Obool)), c_Product__Type_OSigma(_u2082, _u2083, _u2085, c_COMBK(tc_fun(_u2083, tc_HOL_Obool), _u2082, c_Set_Oinsert(_u2083, _u2086, _u2087)))), c_Product__Type_OSigma(_u2082, _u2083, c_Set_Oinsert(_u2082, _u2084, _u2085), c_COMBK(tc_fun(_u2083, tc_HOL_Obool), _u2082, _u2087))))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u2089, _u2091)) | hBOOL(hAPP(_u2090, _u2091)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2088, tc_HOL_Obool)), _u2089), _u2090), _u2091)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2095, tc_HOL_Obool)), _u2094), _u2092), _u2093)) | ~hBOOL(hAPP(_u2092, _u2093)) )).
% 57.32/57.51 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2095, tc_HOL_Obool)), _u2094), _u2092), _u2093)) | ~hBOOL(hAPP(_u2094, _u2093)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2096), _u2097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2096, tc_HOL_Obool)), _u2099), _u2098))) | ~hBOOL(hAPP(hAPP(c_member(_u2096), _u2097), _u2098)) )).
% 57.32/57.51 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2096), _u2097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2096, tc_HOL_Obool)), _u2099), _u2098))) | ~hBOOL(hAPP(hAPP(c_member(_u2096), _u2097), _u2099)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_UnE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2100), _u2101), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2100, tc_HOL_Obool)), _u2102), _u2103))) | hBOOL(hAPP(hAPP(c_member(_u2100), _u2101), _u2102)) | hBOOL(hAPP(hAPP(c_member(_u2100), _u2101), _u2103)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( c_Product__Type_OSigma(_u2104, _u2105, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2104, tc_HOL_Obool)), _u2106), _u2107), _u2108) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2104, _u2105), tc_HOL_Obool)), c_Product__Type_OSigma(_u2104, _u2105, _u2106, _u2108)), c_Product__Type_OSigma(_u2104, _u2105, _u2107, _u2108))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Times__Un__distrib1-1, axiom, ( ( c_Product__Type_OSigma(_u2109, _u2110, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2109, tc_HOL_Obool)), _u2111), _u2112), c_COMBK(tc_fun(_u2110, tc_HOL_Obool), _u2109, _u2113)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2109, _u2110), tc_HOL_Obool)), c_Product__Type_OSigma(_u2109, _u2110, _u2111, c_COMBK(tc_fun(_u2110, tc_HOL_Obool), _u2109, _u2113))), c_Product__Type_OSigma(_u2109, _u2110, _u2112, c_COMBK(tc_fun(_u2110, tc_HOL_Obool), _u2109, _u2113)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( c_Product__Type_OSigma(_u2114, _u2115, _u2116, hAPP(hAPP(c_COMBS(_u2114, tc_fun(_u2115, tc_HOL_Obool), tc_fun(_u2115, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2115, tc_HOL_Obool), tc_fun(tc_fun(_u2115, tc_HOL_Obool), tc_fun(_u2115, tc_HOL_Obool)), _u2114, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2115, tc_HOL_Obool))), _u2117)), _u2118)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2114, _u2115), tc_HOL_Obool)), c_Product__Type_OSigma(_u2114, _u2115, _u2116, _u2117)), c_Product__Type_OSigma(_u2114, _u2115, _u2116, _u2118))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__Un__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2119, _u2119), tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2119, _u2119), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u2119, _u2120)), c_Transitive__Closure_Ortrancl(_u2119, _u2121)), c_Transitive__Closure_Ortrancl(_u2119, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2119, _u2119), tc_HOL_Obool)), _u2120), _u2121))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__upper1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2122, tc_HOL_Obool), _u2123, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2122, tc_HOL_Obool)), _u2123), _u2124)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__upper2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2125, tc_HOL_Obool), _u2126, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2125, tc_HOL_Obool)), _u2127), _u2126)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_subset__Un__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2131, tc_HOL_Obool), _u2133, _u2135) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2131, tc_HOL_Obool)), _u2133), _u2135) = _u2135) )).
% 57.32/57.51 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2132, tc_HOL_Obool)), _u2134), _u2136) != _u2136) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2132, tc_HOL_Obool), _u2134, _u2136) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__absorb1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2137, tc_HOL_Obool), _u2138, _u2139) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2137, tc_HOL_Obool)), _u2138), _u2139) = _u2139) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__absorb2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2140, tc_HOL_Obool), _u2141, _u2142) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2140, tc_HOL_Obool)), _u2142), _u2141) = _u2142) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__least-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2143, tc_HOL_Obool), _u2144, _u2145) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2143, tc_HOL_Obool), _u2146, _u2145) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2143, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2143, tc_HOL_Obool)), _u2144), _u2146), _u2145) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2147, tc_HOL_Obool), _u2148, _u2149) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2147, tc_HOL_Obool), _u2150, _u2151) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2147, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2147, tc_HOL_Obool)), _u2148), _u2150), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2147, tc_HOL_Obool)), _u2149), _u2151)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u2152) | c_Orderings_Oord__class_Oless__eq(_u2152, _u2153, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2152), _u2153), _u2154)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2155) | c_Orderings_Oord__class_Oless__eq(_u2155, _u2156, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2155), _u2156), _u2157)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u2158) | c_Orderings_Oord__class_Oless__eq(_u2158, _u2159, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2158), _u2160), _u2159)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2161) | c_Orderings_Oord__class_Oless__eq(_u2161, _u2162, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2161), _u2163), _u2162)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2164) | ~c_Orderings_Oord__class_Oless__eq(_u2164, _u2165, _u2166) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2164), _u2165), _u2166) = _u2166) )).
% 57.32/57.51 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u2164) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2164), _u2165), _u2166) != _u2166) | c_Orderings_Oord__class_Oless__eq(_u2164, _u2165, _u2166) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2167) | ~c_Orderings_Oord__class_Oless__eq(_u2167, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2167), _u2168), _u2169), _u2170) | c_Orderings_Oord__class_Oless__eq(_u2167, _u2168, _u2170) )).
% 57.32/57.51 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u2167) | ~c_Orderings_Oord__class_Oless__eq(_u2167, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2167), _u2168), _u2169), _u2170) | c_Orderings_Oord__class_Oless__eq(_u2167, _u2169, _u2170) )).
% 57.32/57.51 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u2167) | ~c_Orderings_Oord__class_Oless__eq(_u2167, _u2168, _u2170) | ~c_Orderings_Oord__class_Oless__eq(_u2167, _u2169, _u2170) | c_Orderings_Oord__class_Oless__eq(_u2167, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2167), _u2168), _u2169), _u2170) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2171) | ~c_Orderings_Oord__class_Oless__eq(_u2171, _u2172, _u2173) | c_Orderings_Oord__class_Oless__eq(_u2171, _u2172, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2171), _u2173), _u2174)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2175) | ~c_Orderings_Oord__class_Oless__eq(_u2175, _u2176, _u2177) | c_Orderings_Oord__class_Oless__eq(_u2175, _u2176, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2175), _u2178), _u2177)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2179) | ~c_Orderings_Oord__class_Oless__eq(_u2179, _u2180, _u2181) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2179), _u2180), _u2181) = _u2181) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2182) | ~c_Orderings_Oord__class_Oless__eq(_u2182, _u2183, _u2184) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2182), _u2184), _u2183) = _u2184) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2185) | ~c_Orderings_Oord__class_Oless__eq(_u2185, _u2186, _u2187) | ~c_Orderings_Oord__class_Oless__eq(_u2185, _u2188, _u2187) | c_Orderings_Oord__class_Oless__eq(_u2185, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2185), _u2186), _u2188), _u2187) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2189) | ~c_Orderings_Oord__class_Oless__eq(_u2189, _u2190, _u2191) | ~c_Orderings_Oord__class_Oless__eq(_u2189, _u2192, _u2191) | c_Orderings_Oord__class_Oless__eq(_u2189, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2189), _u2190), _u2192), _u2191) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2193) | ~c_Orderings_Oord__class_Oless__eq(_u2193, _u2194, _u2195) | ~c_Orderings_Oord__class_Oless__eq(_u2193, _u2196, _u2197) | c_Orderings_Oord__class_Oless__eq(_u2193, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2193), _u2194), _u2196), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2193), _u2195), _u2197)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2198) | ~c_Orderings_Oord__class_Oless__eq(_u2198, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2198), _u2199), _u2200), _u2201) | c_Orderings_Oord__class_Oless__eq(_u2198, _u2199, _u2201) )).
% 57.32/57.51 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u2198) | ~c_Orderings_Oord__class_Oless__eq(_u2198, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2198), _u2199), _u2200), _u2201) | c_Orderings_Oord__class_Oless__eq(_u2198, _u2200, _u2201) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u2202) | c_Orderings_Oord__class_Oless__eq(_u2202, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2202), _u2203), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2202), _u2204), _u2205)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2202), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2202), _u2203), _u2204)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2202), _u2203), _u2205))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u2206) | c_Orderings_Oord__class_Oless__eq(_u2206, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2206), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2206), _u2207), _u2208)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2206), _u2207), _u2209)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2206), _u2207), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2206), _u2208), _u2209))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2214, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2214, tc_fun(_u2214, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2214)), _u2216)), hAPP(hAPP(c_COMBC(_u2214, tc_fun(_u2214, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2214)), _u2218)), _u2220)) | hBOOL(hAPP(hAPP(c_member(_u2214), _u2220), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2214, tc_HOL_Obool)), _u2216), _u2218))) )).
% 57.32/57.51 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2215), _u2221), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2215, tc_HOL_Obool)), _u2217), _u2219))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2215, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2215, tc_fun(_u2215, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2215)), _u2217)), hAPP(hAPP(c_COMBC(_u2215, tc_fun(_u2215, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2215)), _u2219)), _u2221)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u2222, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2222, _u2222), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u2222, _u2223)), c_Transitive__Closure_Ortrancl(_u2222, _u2224))) = c_Transitive__Closure_Ortrancl(_u2222, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2222, _u2222), tc_HOL_Obool)), _u2223), _u2224))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u2225, _u2226, _u2227) | ~c_Relation_Orefl__on(_u2225, _u2228, _u2229) | c_Relation_Orefl__on(_u2225, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2225, tc_HOL_Obool)), _u2226), _u2228), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2225, _u2225), tc_HOL_Obool)), _u2227), _u2229)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2230) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2230), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2230), _u2231), _u2232)), _u2233) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2230), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2230), _u2231), _u2233)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2230), _u2232), _u2233))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2234) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2234), _u2235), _u2236)), _u2237) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2234), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2234), _u2235), _u2237)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2234), _u2236), _u2237))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2238) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2238), _u2239), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2238), _u2240), _u2241)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2238), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2238), _u2239), _u2240)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2238), _u2239), _u2241))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2242) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2242), _u2243), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2242), _u2244), _u2245)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2242), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2242), _u2243), _u2244)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2242), _u2243), _u2245))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u2246) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2246), _u2247), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2246), _u2247), _u2248)) = _u2247) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u2249) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2249), _u2250), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2249), _u2250), _u2251)) = _u2250) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Range__Un__eq-1, axiom, ( ( c_Relation_ORange(_u2252, _u2253, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2252, _u2253), tc_HOL_Obool)), _u2254), _u2255)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2253, tc_HOL_Obool)), c_Relation_ORange(_u2252, _u2253, _u2254)), c_Relation_ORange(_u2252, _u2253, _u2255))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u2256, _u2257)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2258, tc_HOL_Obool)), _u2256), _u2259), _u2257)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u2260, _u2261)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2262, tc_HOL_Obool)), _u2263), _u2260), _u2261)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2264, tc_HOL_Obool)), _u2265), _u2265) = _u2265) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2266, tc_HOL_Obool)), _u2267), _u2268) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2266, tc_HOL_Obool)), _u2268), _u2267)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2269, tc_HOL_Obool)), _u2270), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2269, tc_HOL_Obool)), _u2270), _u2271)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2269, tc_HOL_Obool)), _u2270), _u2271)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2272, tc_HOL_Obool)), _u2273), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2272, tc_HOL_Obool)), _u2274), _u2275)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2272, tc_HOL_Obool)), _u2274), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2272, tc_HOL_Obool)), _u2273), _u2275))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2276, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2276, tc_HOL_Obool)), _u2277), _u2278)), _u2279) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2276, tc_HOL_Obool)), _u2277), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2276, tc_HOL_Obool)), _u2278), _u2279))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2290), _u2280), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2290, tc_HOL_Obool)), _u2292), _u2294))) | ~hBOOL(hAPP(_u2296, _u2280)) | hBOOL(hAPP(hAPP(c_member(_u2290), skolem102(_u2296, _u2294, _u2292, _u2290)), _u2292)) | hBOOL(hAPP(hAPP(c_member(_u2290), skolem103(_u2296, _u2294, _u2292, _u2290)), _u2294)) )).
% 57.32/57.51 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2290), _u2280), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2290, tc_HOL_Obool)), _u2292), _u2294))) | ~hBOOL(hAPP(_u2296, _u2280)) | hBOOL(hAPP(hAPP(c_member(_u2290), skolem102(_u2296, _u2294, _u2292, _u2290)), _u2292)) | hBOOL(hAPP(_u2296, skolem103(_u2296, _u2294, _u2292, _u2290))) )).
% 57.32/57.51 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2290), _u2280), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2290, tc_HOL_Obool)), _u2292), _u2294))) | ~hBOOL(hAPP(_u2296, _u2280)) | hBOOL(hAPP(_u2296, skolem102(_u2296, _u2294, _u2292, _u2290))) | hBOOL(hAPP(hAPP(c_member(_u2290), skolem103(_u2296, _u2294, _u2292, _u2290)), _u2294)) )).
% 57.32/57.51 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2290), _u2280), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2290, tc_HOL_Obool)), _u2292), _u2294))) | ~hBOOL(hAPP(_u2296, _u2280)) | hBOOL(hAPP(_u2296, skolem102(_u2296, _u2294, _u2292, _u2290))) | hBOOL(hAPP(_u2296, skolem103(_u2296, _u2294, _u2292, _u2290))) )).
% 57.32/57.51 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2291), _u2283), _u2293)) | ~hBOOL(hAPP(_u2297, _u2283)) | hBOOL(hAPP(hAPP(c_member(_u2291), skolem104(_u2297, _u2295, _u2293, _u2291)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2291, tc_HOL_Obool)), _u2293), _u2295))) )).
% 57.32/57.51 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2291), _u2283), _u2293)) | ~hBOOL(hAPP(_u2297, _u2283)) | hBOOL(hAPP(_u2297, skolem104(_u2297, _u2295, _u2293, _u2291))) )).
% 57.32/57.51 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2291), _u2284), _u2295)) | ~hBOOL(hAPP(_u2297, _u2284)) | hBOOL(hAPP(hAPP(c_member(_u2291), skolem104(_u2297, _u2295, _u2293, _u2291)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2291, tc_HOL_Obool)), _u2293), _u2295))) )).
% 57.32/57.51 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2291), _u2284), _u2295)) | ~hBOOL(hAPP(_u2297, _u2284)) | hBOOL(hAPP(_u2297, skolem104(_u2297, _u2295, _u2293, _u2291))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2308), skolem105(_u2314, _u2312, _u2310, _u2308)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2308, tc_HOL_Obool)), _u2310), _u2312))) | ~hBOOL(hAPP(hAPP(c_member(_u2308), _u2299), _u2310)) | hBOOL(hAPP(_u2314, _u2299)) )).
% 57.32/57.51 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2308), skolem105(_u2314, _u2312, _u2310, _u2308)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2308, tc_HOL_Obool)), _u2310), _u2312))) | ~hBOOL(hAPP(hAPP(c_member(_u2308), _u2300), _u2312)) | hBOOL(hAPP(_u2314, _u2300)) )).
% 57.32/57.51 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u2314, skolem105(_u2314, _u2312, _u2310, _u2308))) | ~hBOOL(hAPP(hAPP(c_member(_u2308), _u2299), _u2310)) | hBOOL(hAPP(_u2314, _u2299)) )).
% 57.32/57.51 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u2314, skolem105(_u2314, _u2312, _u2310, _u2308))) | ~hBOOL(hAPP(hAPP(c_member(_u2308), _u2300), _u2312)) | hBOOL(hAPP(_u2314, _u2300)) )).
% 57.32/57.51 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2309), _u2303), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2309, tc_HOL_Obool)), _u2311), _u2313))) | hBOOL(hAPP(_u2315, _u2303)) | hBOOL(hAPP(hAPP(c_member(_u2309), skolem106(_u2315, _u2313, _u2311, _u2309)), _u2311)) | hBOOL(hAPP(hAPP(c_member(_u2309), skolem107(_u2315, _u2313, _u2311, _u2309)), _u2313)) )).
% 57.32/57.51 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2309), _u2303), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2309, tc_HOL_Obool)), _u2311), _u2313))) | hBOOL(hAPP(_u2315, _u2303)) | hBOOL(hAPP(hAPP(c_member(_u2309), skolem106(_u2315, _u2313, _u2311, _u2309)), _u2311)) | ~hBOOL(hAPP(_u2315, skolem107(_u2315, _u2313, _u2311, _u2309))) )).
% 57.32/57.51 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2309), _u2303), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2309, tc_HOL_Obool)), _u2311), _u2313))) | hBOOL(hAPP(_u2315, _u2303)) | ~hBOOL(hAPP(_u2315, skolem106(_u2315, _u2313, _u2311, _u2309))) | hBOOL(hAPP(hAPP(c_member(_u2309), skolem107(_u2315, _u2313, _u2311, _u2309)), _u2313)) )).
% 57.32/57.51 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2309), _u2303), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2309, tc_HOL_Obool)), _u2311), _u2313))) | hBOOL(hAPP(_u2315, _u2303)) | ~hBOOL(hAPP(_u2315, skolem106(_u2315, _u2313, _u2311, _u2309))) | ~hBOOL(hAPP(_u2315, skolem107(_u2315, _u2313, _u2311, _u2309))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2316) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2316), _u2317), _u2317) = _u2317) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2318) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2318), _u2319), _u2319) = _u2319) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2320) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2320), _u2321), _u2322) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2320), _u2322), _u2321)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u2323) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2323), _u2324), _u2325) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2323), _u2325), _u2324)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2326) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2326), _u2327), _u2328) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2326), _u2328), _u2327)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2329) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2329), _u2330), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2329), _u2330), _u2331)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2329), _u2330), _u2331)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u2332) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2332), _u2333), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2332), _u2333), _u2334)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2332), _u2333), _u2334)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2335) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2335), _u2336), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2335), _u2336), _u2337)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2335), _u2336), _u2337)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2338) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2338), _u2339), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2338), _u2340), _u2341)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2338), _u2340), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2338), _u2339), _u2341))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u2342) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2342), _u2343), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2342), _u2344), _u2345)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2342), _u2344), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2342), _u2343), _u2345))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2346) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2346), _u2347), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2346), _u2348), _u2349)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2346), _u2348), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2346), _u2347), _u2349))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2350) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2350), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2350), _u2351), _u2352)), _u2353) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2350), _u2351), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2350), _u2352), _u2353))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u2354) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2354), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2354), _u2355), _u2356)), _u2357) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2354), _u2355), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2354), _u2356), _u2357))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2358) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2358), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2358), _u2359), _u2360)), _u2361) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2358), _u2359), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2358), _u2360), _u2361))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u2362) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2363, _u2362)), _u2364), _u2365), _u2366) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2362), hAPP(_u2364, _u2366)), hAPP(_u2365, _u2366))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u2367) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2368, _u2367)), _u2369), _u2370), _u2371) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2367), hAPP(_u2369, _u2371)), hAPP(_u2370, _u2371))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Domain__Un__eq-1, axiom, ( ( c_Relation_ODomain(_u2372, _u2373, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2372, _u2373), tc_HOL_Obool)), _u2374), _u2375)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2372, tc_HOL_Obool)), c_Relation_ODomain(_u2372, _u2373, _u2374)), c_Relation_ODomain(_u2372, _u2373, _u2375))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2376, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2376, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), _u2377), _u2378)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), _u2378), _u2379))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), _u2379), _u2377)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2376, tc_HOL_Obool)), _u2377), _u2378)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2376, tc_HOL_Obool)), _u2378), _u2379))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2376, tc_HOL_Obool)), _u2379), _u2377))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2380, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2380, tc_HOL_Obool)), _u2381), _u2382)), _u2383) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2380, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2380, tc_HOL_Obool)), _u2381), _u2383)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2380, tc_HOL_Obool)), _u2382), _u2383))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2384, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2384, tc_HOL_Obool)), _u2385), _u2386)), _u2387) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2384, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2384, tc_HOL_Obool)), _u2385), _u2387)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2384, tc_HOL_Obool)), _u2386), _u2387))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2388, tc_HOL_Obool)), _u2389), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2388, tc_HOL_Obool)), _u2390), _u2391)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2388, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2388, tc_HOL_Obool)), _u2389), _u2390)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2388, tc_HOL_Obool)), _u2389), _u2391))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2392, tc_HOL_Obool)), _u2393), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2392, tc_HOL_Obool)), _u2394), _u2395)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2392, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2392, tc_HOL_Obool)), _u2393), _u2394)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2392, tc_HOL_Obool)), _u2393), _u2395))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2396), _u2397), _u2398)) | hBOOL(hAPP(hAPP(c_member(_u2396), _u2397), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2396, tc_HOL_Obool)), _u2399), _u2398))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2400), _u2401), _u2402)) | hBOOL(hAPP(hAPP(c_member(_u2400), _u2401), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2400, tc_HOL_Obool)), _u2402), _u2403))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2408), _u2410), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2408, tc_HOL_Obool)), _u2412), _u2414))) | hBOOL(hAPP(hAPP(c_member(_u2408), _u2410), _u2412)) | hBOOL(hAPP(hAPP(c_member(_u2408), _u2410), _u2414)) )).
% 57.32/57.51 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2409), _u2411), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2409, tc_HOL_Obool)), _u2413), _u2415))) | ~hBOOL(hAPP(hAPP(c_member(_u2409), _u2411), _u2413)) )).
% 57.32/57.51 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2409), _u2411), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2409, tc_HOL_Obool)), _u2413), _u2415))) | ~hBOOL(hAPP(hAPP(c_member(_u2409), _u2411), _u2415)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2416, tc_HOL_Obool)), _u2417), c_Set_Oinsert(_u2416, _u2418, _u2419)) = c_Set_Oinsert(_u2416, _u2418, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2416, tc_HOL_Obool)), _u2417), _u2419))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2420, tc_HOL_Obool)), c_Set_Oinsert(_u2420, _u2421, _u2422)), _u2423) = c_Set_Oinsert(_u2420, _u2421, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2420, tc_HOL_Obool)), _u2422), _u2423))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2428, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2428, tc_HOL_Obool)), _u2430), _u2432)), _u2434) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2428, tc_HOL_Obool)), _u2430), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2428, tc_HOL_Obool)), _u2432), _u2434))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2428, tc_HOL_Obool), _u2434, _u2430) )).
% 57.32/57.51 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2429, tc_HOL_Obool), _u2435, _u2431) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2429, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2429, tc_HOL_Obool)), _u2431), _u2433)), _u2435) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2429, tc_HOL_Obool)), _u2431), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2429, tc_HOL_Obool)), _u2433), _u2435))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u2436, _u2436)), _u2437), c_Transitive__Closure_Ortrancl(_u2436, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2436, _u2436), tc_HOL_Obool)), _u2438), _u2439)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2436, _u2436)), _u2437), c_Transitive__Closure_Ortrancl(_u2436, _u2438))) )).
% 57.32/57.51 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u2436, _u2436)), _u2437), c_Transitive__Closure_Ortrancl(_u2436, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2436, _u2436), tc_HOL_Obool)), _u2438), _u2439)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2436, _u2436)), _u2437), c_Transitive__Closure_Ortrancl(_u2436, _u2439))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u2440, _u2441) | ~c_Wellfounded_Owf(_u2440, _u2442) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2440, tc_HOL_Obool)), c_Relation_ODomain(_u2440, _u2440, _u2441)), c_Relation_ORange(_u2440, _u2440, _u2442)) != c_Orderings_Obot__class_Obot(tc_fun(_u2440, tc_HOL_Obool))) | c_Wellfounded_Owf(_u2440, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2440, _u2440), tc_HOL_Obool)), _u2441), _u2442)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2445, _u2445), tc_HOL_Obool)), _u2448), _u2449)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, _u2448))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), skolem108(_u2449, _u2448, _u2447, _u2446, _u2445)), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, _u2448))) )).
% 57.32/57.51 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2445, _u2445), tc_HOL_Obool)), _u2448), _u2449)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, _u2448))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), skolem109(_u2449, _u2448, _u2447, _u2446, _u2445)), skolem108(_u2449, _u2448, _u2447, _u2446, _u2445))), _u2449)) )).
% 57.32/57.51 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2445, _u2445), tc_HOL_Obool)), _u2448), _u2449)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, _u2448))) | ( skolem109(_u2449, _u2448, _u2447, _u2446, _u2445) != skolem108(_u2449, _u2448, _u2447, _u2446, _u2445)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u2450, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2450, _u2450), tc_HOL_Obool))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2451), _u2452), c_Orderings_Obot__class_Obot(tc_fun(_u2451, tc_HOL_Obool)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_empty__subsetI-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2453, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_u2453, tc_HOL_Obool)), _u2454) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2455, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2455, tc_HOL_Obool))), _u2456) = _u2456) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2457, tc_HOL_Obool)), _u2458), c_Orderings_Obot__class_Obot(tc_fun(_u2457, tc_HOL_Obool))) = _u2458) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2462, tc_HOL_Obool)), _u2464), _u2466) != c_Orderings_Obot__class_Obot(tc_fun(_u2462, tc_HOL_Obool))) | ( _u2464 = c_Orderings_Obot__class_Obot(tc_fun(_u2462, tc_HOL_Obool))) )).
% 57.32/57.51 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2462, tc_HOL_Obool)), _u2464), _u2466) != c_Orderings_Obot__class_Obot(tc_fun(_u2462, tc_HOL_Obool))) | ( _u2466 = c_Orderings_Obot__class_Obot(tc_fun(_u2462, tc_HOL_Obool))) )).
% 57.32/57.51 cnf(fact_Un__empty-3, axiom, ( ( _u2465 != c_Orderings_Obot__class_Obot(tc_fun(_u2463, tc_HOL_Obool))) | ( _u2467 != c_Orderings_Obot__class_Obot(tc_fun(_u2463, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2463, tc_HOL_Obool)), _u2465), _u2467) = c_Orderings_Obot__class_Obot(tc_fun(_u2463, tc_HOL_Obool))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2468) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2468), c_Orderings_Obot__class_Obot(_u2468)), _u2469) = _u2469) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2470) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2470), _u2471), c_Orderings_Obot__class_Obot(_u2470)) = _u2471) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2472) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2472), _u2473), _u2474) != c_Orderings_Obot__class_Obot(_u2472)) | ( _u2473 = c_Orderings_Obot__class_Obot(_u2472)) )).
% 57.32/57.51 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2472) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2472), _u2473), _u2474) != c_Orderings_Obot__class_Obot(_u2472)) | ( _u2474 = c_Orderings_Obot__class_Obot(_u2472)) )).
% 57.32/57.51 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2472) | ( _u2473 != c_Orderings_Obot__class_Obot(_u2472)) | ( _u2474 != c_Orderings_Obot__class_Obot(_u2472)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2472), _u2473), _u2474) = c_Orderings_Obot__class_Obot(_u2472)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__is__Un-1, axiom, ( ( c_Set_Oinsert(_u2475, _u2476, _u2477) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2475, tc_HOL_Obool)), c_Set_Oinsert(_u2475, _u2476, c_Orderings_Obot__class_Obot(tc_fun(_u2475, tc_HOL_Obool)))), _u2477)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_singleton__iff-1, axiom, ( ( _u2483 = _u2485) | ~hBOOL(hAPP(hAPP(c_member(_u2481), _u2483), c_Set_Oinsert(_u2481, _u2485, c_Orderings_Obot__class_Obot(tc_fun(_u2481, tc_HOL_Obool))))) )).
% 57.32/57.51 cnf(fact_singleton__iff-2, axiom, ( ( _u2484 != _u2486) | hBOOL(hAPP(hAPP(c_member(_u2482), _u2484), c_Set_Oinsert(_u2482, _u2486, c_Orderings_Obot__class_Obot(tc_fun(_u2482, tc_HOL_Obool))))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_singletonE-1, axiom, ( ( _u2488 = _u2489) | ~hBOOL(hAPP(hAPP(c_member(_u2487), _u2488), c_Set_Oinsert(_u2487, _u2489, c_Orderings_Obot__class_Obot(tc_fun(_u2487, tc_HOL_Obool))))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensional__funcset__empty__domain ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensional__funcset__empty__domain-1, axiom, ( ( c_FuncSet_Oextensional__funcset(_u2490, _u2491, c_Orderings_Obot__class_Obot(tc_fun(_u2490, tc_HOL_Obool)), _u2492) = c_Set_Oinsert(tc_fun(_u2490, _u2491), c_COMBK(_u2491, _u2490, c_HOL_Oundefined(_u2491)), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2490, _u2491), tc_HOL_Obool)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_extensional__empty ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_extensional__empty-1, axiom, ( ( c_FuncSet_Oextensional(_u2493, _u2494, c_Orderings_Obot__class_Obot(tc_fun(_u2493, tc_HOL_Obool))) = c_Set_Oinsert(tc_fun(_u2493, _u2494), c_COMBK(_u2494, _u2493, c_HOL_Oundefined(_u2494)), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2493, _u2494), tc_HOL_Obool)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u2495, tc_HOL_Obool)) != c_Set_Oinsert(_u2495, _u2496, _u2497)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_insert__not__empty-1, axiom, ( ( c_Set_Oinsert(_u2498, _u2499, _u2500) != c_Orderings_Obot__class_Obot(tc_fun(_u2498, tc_HOL_Obool))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_doubleton__eq__iff-1, axiom, ( ( c_Set_Oinsert(_u2506, _u2508, c_Set_Oinsert(_u2506, _u2510, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool)))) != c_Set_Oinsert(_u2506, _u2512, c_Set_Oinsert(_u2506, _u2514, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool))))) | ( _u2508 = _u2512) | ( _u2508 = _u2514) )).
% 57.32/57.51 cnf(fact_doubleton__eq__iff-2, axiom, ( ( c_Set_Oinsert(_u2506, _u2508, c_Set_Oinsert(_u2506, _u2510, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool)))) != c_Set_Oinsert(_u2506, _u2512, c_Set_Oinsert(_u2506, _u2514, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool))))) | ( _u2508 = _u2512) | ( _u2510 = _u2512) )).
% 57.32/57.51 cnf(fact_doubleton__eq__iff-3, axiom, ( ( c_Set_Oinsert(_u2506, _u2508, c_Set_Oinsert(_u2506, _u2510, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool)))) != c_Set_Oinsert(_u2506, _u2512, c_Set_Oinsert(_u2506, _u2514, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool))))) | ( _u2510 = _u2514) | ( _u2508 = _u2514) )).
% 57.32/57.51 cnf(fact_doubleton__eq__iff-4, axiom, ( ( c_Set_Oinsert(_u2506, _u2508, c_Set_Oinsert(_u2506, _u2510, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool)))) != c_Set_Oinsert(_u2506, _u2512, c_Set_Oinsert(_u2506, _u2514, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool))))) | ( _u2510 = _u2514) | ( _u2510 = _u2512) )).
% 57.32/57.51 cnf(fact_doubleton__eq__iff-5, axiom, ( ( c_Set_Oinsert(_u2507, _u2509, c_Set_Oinsert(_u2507, _u2511, c_Orderings_Obot__class_Obot(tc_fun(_u2507, tc_HOL_Obool)))) = c_Set_Oinsert(_u2507, _u2513, c_Set_Oinsert(_u2507, _u2515, c_Orderings_Obot__class_Obot(tc_fun(_u2507, tc_HOL_Obool))))) | ( _u2509 != _u2513) | ( _u2511 != _u2515) )).
% 57.32/57.51 cnf(fact_doubleton__eq__iff-6, axiom, ( ( c_Set_Oinsert(_u2507, _u2509, c_Set_Oinsert(_u2507, _u2511, c_Orderings_Obot__class_Obot(tc_fun(_u2507, tc_HOL_Obool)))) = c_Set_Oinsert(_u2507, _u2513, c_Set_Oinsert(_u2507, _u2515, c_Orderings_Obot__class_Obot(tc_fun(_u2507, tc_HOL_Obool))))) | ( _u2509 != _u2515) | ( _u2511 != _u2513) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_singleton__inject-1, axiom, ( ( _u2517 = _u2518) | ( c_Set_Oinsert(_u2516, _u2517, c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool))) != c_Set_Oinsert(_u2516, _u2518, c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool)))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2519, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2519, tc_HOL_Obool))), _u2520) = c_Orderings_Obot__class_Obot(tc_fun(_u2519, tc_HOL_Obool))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2521, tc_HOL_Obool)), _u2522), c_Orderings_Obot__class_Obot(tc_fun(_u2521, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2521, tc_HOL_Obool))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2530, tc_HOL_Obool)), _u2532), _u2534) != c_Orderings_Obot__class_Obot(tc_fun(_u2530, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2530), _u2524), _u2532)) | ~hBOOL(hAPP(hAPP(c_member(_u2530), _u2523), _u2534)) | ( _u2524 != _u2523) )).
% 57.32/57.51 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2531, tc_HOL_Obool)), _u2533), _u2535) = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2531), skolem110(_u2535, _u2533, _u2531)), _u2533)) )).
% 57.32/57.51 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2531, tc_HOL_Obool)), _u2533), _u2535) = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2531), skolem111(_u2535, _u2533, _u2531)), _u2535)) )).
% 57.32/57.51 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2531, tc_HOL_Obool)), _u2533), _u2535) = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | ( skolem110(_u2535, _u2533, _u2531) = skolem111(_u2535, _u2533, _u2531)) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 57.32/57.51 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u2536, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2536, _u2536), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2536, _u2536), tc_HOL_Obool))) )).
% 57.32/57.51
% 57.32/57.51 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2541), skolem112(_u2543, _u2541)), _u2543)) | ( _u2543 = c_Orderings_Obot__class_Obot(tc_fun(_u2541, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(fact_all__not__in__conv-2, axiom, ( ( _u2544 != c_Orderings_Obot__class_Obot(tc_fun(_u2542, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2542), _u2538), _u2544)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2549), _u2545), _u2551)) | ( _u2551 != c_Orderings_Obot__class_Obot(tc_fun(_u2549, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(fact_ex__in__conv-2, axiom, ( ( _u2552 = c_Orderings_Obot__class_Obot(tc_fun(_u2550, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2550), skolem113(_u2552, _u2550)), _u2552)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2553), _u2554), c_Orderings_Obot__class_Obot(tc_fun(_u2553, tc_HOL_Obool)))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_equals0D-1, axiom, ( ( _u2555 != c_Orderings_Obot__class_Obot(tc_fun(_u2556, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2556), _u2557), _u2555)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_Domain__empty-1, axiom, ( ( c_Relation_ODomain(_u2558, _u2559, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2558, _u2559), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2558, tc_HOL_Obool))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_Domain__empty__iff-1, axiom, ( ( c_Relation_ODomain(_u2563, _u2565, _u2567) != c_Orderings_Obot__class_Obot(tc_fun(_u2563, tc_HOL_Obool))) | ( _u2567 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2563, _u2565), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u2568 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2564, _u2566), tc_HOL_Obool))) | ( c_Relation_ODomain(_u2564, _u2566, _u2568) = c_Orderings_Obot__class_Obot(tc_fun(_u2564, tc_HOL_Obool))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_Pi__eq__empty ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_Pi__eq__empty-1, axiom, ( ( c_FuncSet_OPi(_u2575, _u2577, _u2579, _u2581) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2575, _u2577), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2575), skolem114(_u2581, _u2579, _u2577, _u2575)), _u2579)) )).
% 57.32/57.52 cnf(fact_Pi__eq__empty-2, axiom, ( ( c_FuncSet_OPi(_u2575, _u2577, _u2579, _u2581) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2575, _u2577), tc_HOL_Obool))) | ( hAPP(_u2581, skolem114(_u2581, _u2579, _u2577, _u2575)) = c_Orderings_Obot__class_Obot(tc_fun(_u2577, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(fact_Pi__eq__empty-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2576), _u2570), _u2580)) | ( hAPP(_u2582, _u2570) != c_Orderings_Obot__class_Obot(tc_fun(_u2578, tc_HOL_Obool))) | ( c_FuncSet_OPi(_u2576, _u2578, _u2580, _u2582) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2576, _u2578), tc_HOL_Obool))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_extensional__funcset__empty__range ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_extensional__funcset__empty__range-1, axiom, ( ( _u2583 = c_Orderings_Obot__class_Obot(tc_fun(_u2584, tc_HOL_Obool))) | ( c_FuncSet_Oextensional__funcset(_u2584, _u2585, _u2583, c_Orderings_Obot__class_Obot(tc_fun(_u2585, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2584, _u2585), tc_HOL_Obool))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u2586, c_Orderings_Obot__class_Obot(tc_fun(_u2586, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2586, _u2586), tc_HOL_Obool))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_Range__empty-1, axiom, ( ( c_Relation_ORange(_u2587, _u2588, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2587, _u2588), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2588, tc_HOL_Obool))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_Range__empty__iff-1, axiom, ( ( c_Relation_ORange(_u2592, _u2594, _u2596) != c_Orderings_Obot__class_Obot(tc_fun(_u2594, tc_HOL_Obool))) | ( _u2596 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2592, _u2594), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(fact_Range__empty__iff-2, axiom, ( ( _u2597 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2593, _u2595), tc_HOL_Obool))) | ( c_Relation_ORange(_u2593, _u2595, _u2597) = c_Orderings_Obot__class_Obot(tc_fun(_u2595, tc_HOL_Obool))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u2598, c_Orderings_Obot__class_Obot(tc_fun(_u2598, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2598, _u2598), tc_HOL_Obool))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2599) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2599), _u2600), c_Orderings_Obot__class_Obot(_u2599)) = c_Orderings_Obot__class_Obot(_u2599)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2601) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2601), c_Orderings_Obot__class_Obot(_u2601)), _u2602) = c_Orderings_Obot__class_Obot(_u2601)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u2603, c_Orderings_Obot__class_Obot(tc_fun(_u2603, tc_HOL_Obool)), _u2604) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2607, tc_HOL_Obool)), _u2609)) | hBOOL(hAPP(hAPP(c_member(_u2607), _u2609), c_Orderings_Obot__class_Obot(tc_fun(_u2607, tc_HOL_Obool)))) )).
% 57.32/57.52 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2608), _u2610), c_Orderings_Obot__class_Obot(tc_fun(_u2608, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2608, tc_HOL_Obool)), _u2610)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_antisym__empty ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_antisym__empty-1, axiom, ( c_Relation_Oantisym(_u2611, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2611, _u2611), tc_HOL_Obool))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u2612) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2613, _u2612)), _u2614) = c_Orderings_Obot__class_Obot(_u2612)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 57.32/57.52 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u2615) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2616, _u2615)), _u2617) = c_Orderings_Obot__class_Obot(_u2615)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u2618) | class_Lattices_Obounded__lattice(tc_fun(_u2619, _u2618)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u2620) | class_Lattices_Obounded__lattice__bot(tc_fun(_u2621, _u2620)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u2622) | class_Lattices_Osemilattice__sup(tc_fun(_u2623, _u2622)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u2624) | class_Lattices_Osemilattice__inf(tc_fun(_u2625, _u2624)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2626) | class_Lattices_Odistrib__lattice(tc_fun(_u2627, _u2626)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u2628) | class_Orderings_Opreorder(tc_fun(_u2629, _u2628)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u2630) | class_Lattices_Olattice(tc_fun(_u2631, _u2630)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u2632) | class_Orderings_Oorder(tc_fun(_u2633, _u2632)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u2634) | class_Orderings_Oord(tc_fun(_u2635, _u2634)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u2636) | class_Orderings_Obot(tc_fun(_u2637, _u2636)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 57.32/57.52
% 57.32/57.52 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 57.32/57.52 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u2638), _u2639) = _u2639) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(c_COMBK(_u2640, _u2641, _u2642), _u2643) = _u2642) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(c_COMBB(_u2644, _u2645, _u2646, _u2647), _u2648), _u2649) = hAPP(_u2647, hAPP(_u2648, _u2649))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u2650, _u2651, _u2652), _u2653), _u2654), _u2655) = hAPP(hAPP(_u2653, _u2655), _u2654)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u2656, _u2657, _u2658), _u2659), _u2660), _u2661) = hAPP(hAPP(_u2659, _u2661), hAPP(_u2660, _u2661))) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u2662), _u2663)) | ( _u2662 = _u2663) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__fequal__2-1, axiom, ( ( _u2664 != _u2665) | hBOOL(hAPP(hAPP(c_fequal, _u2664), _u2665)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u2667) | ~hBOOL(_u2666) | hBOOL(hAPP(hAPP(c_fconj, _u2666), _u2667)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u2668), _u2669)) | hBOOL(_u2668) )).
% 57.32/57.52
% 57.32/57.52 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 57.32/57.52 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u2671) | ~hBOOL(hAPP(hAPP(c_fconj, _u2670), _u2671)) )).
% 57.32/57.52
% 57.32/57.52 % Formula: conj_0 ( conjecture ) (definitionally) converted to clauses:
% 57.32/57.52 cnf(conj_0-1, negated_conjecture, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_F, v_Q____))) )).
% 57.32/57.52
% 57.32/57.52 % Problem matrix:
% 57.32/57.52 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 57.32/57.52 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 57.32/57.52 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 57.32/57.52 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OPair(__eqx_0, __eqx_1) = c_Product__Type_OPair(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Arrow__Order__Mirabelle_Omkbot(__eqx_0, __eqx_1) = c_Arrow__Order__Mirabelle_Omkbot(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Arrow__Order__Mirabelle_Omktop(__eqx_0, __eqx_1) = c_Arrow__Order__Mirabelle_Omktop(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FunDef_Oin__rel(__eqx_0, __eqx_1, __eqx_2) = c_FunDef_Oin__rel(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Recdef_Osame__fst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Recdef_Osame__fst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Arrow__Order__Mirabelle_Obelow(__eqx_0, __eqx_1, __eqx_2) = c_Arrow__Order__Mirabelle_Obelow(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_If(__eqx_0, __eqx_1) = c_If(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBS(__eqx_0, __eqx_1, __eqx_2) = c_COMBS(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBC(__eqx_0, __eqx_1, __eqx_2) = c_COMBC(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_HOL_OLet(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_HOL_OLet(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Wellfounded_Olex__prod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Wellfounded_Olex__prod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Recdef_Owfrec__rel(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Recdef_Owfrec__rel(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Recdef_Ocut(__eqx_0, __eqx_1) = c_Recdef_Ocut(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBK(__eqx_0, __eqx_1, __eqx_2) = c_COMBK(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_FuncSet_OPi(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_FuncSet_OPi(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_COMBB(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_COMBB(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Oundefined(__eqx_0) = c_HOL_Oundefined(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FuncSet_Oextensional(__eqx_0, __eqx_1, __eqx_2) = c_FuncSet_Oextensional(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_FuncSet_Oextensional__funcset(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_FuncSet_Oextensional__funcset(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_FuncSet_Ocompose(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_FuncSet_Ocompose(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 57.32/57.52 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Ortrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Ortrancl(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_FuncSet_Orestrict(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_FuncSet_Orestrict(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_ODomain(__eqx_0, __eqx_1, __eqx_2) = c_Relation_ODomain(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_ORange(__eqx_0, __eqx_1, __eqx_2) = c_Relation_ORange(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_OId__on(__eqx_0, __eqx_1) = c_Relation_OId__on(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Relation_Oinv__image(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Relation_Oinv__image(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Otrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Otrancl(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Oinsert(__eqx_0, __eqx_1, __eqx_2) = c_Set_Oinsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Otranclp(__eqx_0, __eqx_1) = c_Transitive__Closure_Otranclp(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ofun__upd(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ofun__upd(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omeasure(__eqx_0, __eqx_1) = c_Wellfounded_Omeasure(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Recdef_Owfrec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Recdef_Owfrec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Wellfounded_Omlex__prod(__eqx_0, __eqx_1, __eqx_2) = c_Wellfounded_Omlex__prod(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Owfrec_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Owfrec_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Owf__wfrec_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Owf__wfrec_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Owf__wfrec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Owf__wfrec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_OSigma(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_OSigma(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Othe__inv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Othe__inv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Ointernal__split(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Ointernal__split(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 57.32/57.52 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem5(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem5(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 57.32/57.52 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 57.32/57.52 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( skolem8(__eqx_0) = skolem8(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( skolem10(__eqx_0) = skolem10(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-64, 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)) )).
% 57.32/57.52 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem12(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem12(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( skolem13(__eqx_0) = skolem13(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( skolem14(__eqx_0) = skolem14(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( skolem16(__eqx_0) = skolem16(__eqy_0)) )).
% 57.32/57.52 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem18(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem18(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 57.32/57.52 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem19(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem19(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 57.32/57.52 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem20(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem20(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 57.32/57.52 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem21(__eqx_0, __eqx_1, __eqx_2) = skolem21(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem22(__eqx_0, __eqx_1) = skolem22(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem23(__eqx_0, __eqx_1) = skolem23(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem24(__eqx_0, __eqx_1) = skolem24(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem25(__eqx_0, __eqx_1, __eqx_2) = skolem25(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem26(__eqx_0, __eqx_1, __eqx_2) = skolem26(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem27(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem27(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 57.32/57.52 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem28(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem28(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem29(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem29(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem30(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem30(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem31(__eqx_0, __eqx_1, __eqx_2) = skolem31(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem32(__eqx_0, __eqx_1, __eqx_2) = skolem32(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem33(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem33(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem34(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem34(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem35(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem35(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 57.32/57.52 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem36(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem36(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem37(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem37(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem38(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem38(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem39(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem39(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem40(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem40(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 57.32/57.52 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem41(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem41(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 57.32/57.52 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem42(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem42(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 57.32/57.52 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem43(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem43(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 57.32/57.52 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem44(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem44(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 57.32/57.52 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem45(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem45(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 57.32/57.52 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem46(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem46(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 57.32/57.52 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem47(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem47(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 57.32/57.52 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem48(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem48(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 57.32/57.52 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem49(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem49(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 57.32/57.52 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem50(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem50(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem51(__eqx_0, __eqx_1, __eqx_2) = skolem51(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem52(__eqx_0, __eqx_1, __eqx_2) = skolem52(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem53(__eqx_0, __eqx_1, __eqx_2) = skolem53(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem54(__eqx_0, __eqx_1) = skolem54(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem55(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem55(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem56(__eqx_0, __eqx_1, __eqx_2) = skolem56(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem57(__eqx_0, __eqx_1, __eqx_2) = skolem57(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem58(__eqx_0, __eqx_1, __eqx_2) = skolem58(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem59(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem59(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem60(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem60(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem61(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem61(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem62(__eqx_0, __eqx_1, __eqx_2) = skolem62(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem63(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem63(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem64(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem64(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem65(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem65(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem66(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem66(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem67(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem67(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem68(__eqx_0, __eqx_1) = skolem68(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem69(__eqx_0, __eqx_1, __eqx_2) = skolem69(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem70(__eqx_0, __eqx_1, __eqx_2) = skolem70(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem71(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem71(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem72(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem72(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem73(__eqx_0, __eqx_1) = skolem73(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem74(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem74(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem75(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem75(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem76(__eqx_0, __eqx_1) = skolem76(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem77(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem77(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem78(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem78(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem79(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem79(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem80(__eqx_0, __eqx_1) = skolem80(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem81(__eqx_0, __eqx_1) = skolem81(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem82(__eqx_0, __eqx_1) = skolem82(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem83(__eqx_0, __eqx_1) = skolem83(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem84(__eqx_0, __eqx_1) = skolem84(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem85(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem85(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem86(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem86(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem87(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem87(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem88(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem88(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem89(__eqx_0, __eqx_1) = skolem89(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem90(__eqx_0, __eqx_1, __eqx_2) = skolem90(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem91(__eqx_0, __eqx_1) = skolem91(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem92(__eqx_0, __eqx_1) = skolem92(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem93(__eqx_0, __eqx_1, __eqx_2) = skolem93(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-147, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem94(__eqx_0, __eqx_1, __eqx_2) = skolem94(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem95(__eqx_0, __eqx_1, __eqx_2) = skolem95(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-149, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem96(__eqx_0, __eqx_1, __eqx_2) = skolem96(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-150, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem97(__eqx_0, __eqx_1, __eqx_2) = skolem97(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-151, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem98(__eqx_0, __eqx_1, __eqx_2) = skolem98(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-152, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem99(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem99(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-153, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem100(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem100(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem101(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem101(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 57.32/57.52 cnf(matrix-155, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem102(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem102(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem103(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem103(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem104(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem104(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem105(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem105(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem106(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem106(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem107(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem107(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-161, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem108(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem108(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem109(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem109(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 57.32/57.52 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem110(__eqx_0, __eqx_1, __eqx_2) = skolem110(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem111(__eqx_0, __eqx_1, __eqx_2) = skolem111(__eqy_0, __eqy_1, __eqy_2)) )).
% 57.32/57.52 cnf(matrix-165, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem112(__eqx_0, __eqx_1) = skolem112(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem113(__eqx_0, __eqx_1) = skolem113(__eqy_0, __eqy_1)) )).
% 57.32/57.52 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem114(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem114(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 57.32/57.52 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ~c_Arrow__Order__Mirabelle_Ounanimity(__eqx_0) | c_Arrow__Order__Mirabelle_Ounanimity(__eqy_0) )).
% 57.32/57.52 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ~c_Arrow__Order__Mirabelle_OIIA(__eqx_0) | c_Arrow__Order__Mirabelle_OIIA(__eqy_0) )).
% 57.32/57.52 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 57.32/57.52 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Orefl_H(__eqx_0, __eqx_1) | c_Nitpick_Orefl_H(__eqy_0, __eqy_1) )).
% 57.32/57.52 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Recdef_Oadm__wf(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Recdef_Oadm__wf(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 57.32/57.52 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Arrow__Order__Mirabelle_Odictator(__eqx_0, __eqx_1) | c_Arrow__Order__Mirabelle_Odictator(__eqy_0, __eqy_1) )).
% 57.32/57.52 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Osingle__valued(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Osingle__valued(__eqy_0, __eqy_1, __eqy_2) )).
% 57.32/57.52 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Predicate_ODomainP(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Predicate_ODomainP(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 57.32/57.52 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 57.32/57.52 cnf(matrix-177, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 57.32/57.52 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 57.32/57.52 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Predicate_ORangeP(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Predicate_ORangeP(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 57.32/57.52 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Ototal__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Ototal__on(__eqy_0, __eqy_1, __eqy_2) )).
% 57.32/57.52 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Orefl__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Orefl__on(__eqy_0, __eqy_1, __eqy_2) )).
% 57.32/57.52 cnf(matrix-182, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 57.32/57.52 cnf(matrix-183, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oantisym(__eqx_0, __eqx_1) | c_Relation_Oantisym(__eqy_0, __eqy_1) )).
% 57.32/57.52 cnf(matrix-184, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 57.32/57.52 cnf(matrix-185, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oord__class_Oless__eq(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oord__class_Oless__eq(__eqy_0, __eqy_1, __eqy_2) )).
% 57.32/57.52 cnf(matrix-186, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 57.32/57.52 cnf(matrix-187, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 57.32/57.52 cnf(matrix-188, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 57.32/57.52 cnf(matrix-189, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 57.32/57.52 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 57.32/57.52 cnf(matrix-191, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 57.32/57.52 cnf(matrix-192, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 57.32/57.52 cnf(matrix-193, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 57.32/57.52 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 57.32/57.52 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 57.32/57.52 cnf(matrix-196, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 57.32/57.52 cnf(matrix-197, plain, ( c_Arrow__Order__Mirabelle_Ounanimity(v_F) )).
% 57.32/57.52 cnf(matrix-198, plain, ( c_Arrow__Order__Mirabelle_OIIA(v_F) )).
% 57.32/57.52 cnf(matrix-199, plain, ( ( v_b____ != v_b_H____) )).
% 57.32/57.52 cnf(matrix-200, plain, ( ( v_b____ != v_a_H____) )).
% 57.32/57.52 cnf(matrix-201, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_Q____, _u3))) )).
% 57.32/57.52 cnf(matrix-202, plain, ( ( v_a_H____ != v_b_H____) )).
% 57.32/57.52 cnf(matrix-203, plain, ( ( v_a____ != v_b____) )).
% 57.32/57.52 cnf(matrix-204, plain, ( ( v_a____ != v_b_H____) )).
% 57.32/57.52 cnf(matrix-205, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_Q____))) )).
% 57.32/57.52 cnf(matrix-206, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_P____))) )).
% 57.32/57.52 cnf(matrix-207, plain, ( ( _u4 != _u5) | hBOOL(hAPP(hAPP(c_member(_u6), _u7), _u4)) | ~hBOOL(hAPP(hAPP(c_member(_u6), _u7), _u5)) )).
% 57.32/57.52 cnf(matrix-208, plain, ( ( _u4 != _u5) | hBOOL(hAPP(hAPP(c_member(_u6), _u7), _u5)) | ~hBOOL(hAPP(hAPP(c_member(_u6), _u7), _u4)) )).
% 57.32/57.52 cnf(matrix-209, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u12), _u14)), c_Arrow__Order__Mirabelle_Omkbot(_u16, _u18))) | ( _u14 != _u18) )).
% 57.32/57.52 cnf(matrix-210, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u12), _u14)), c_Arrow__Order__Mirabelle_Omkbot(_u16, _u18))) | ( _u12 != _u18) | ( _u12 != _u14) )).
% 57.32/57.52 cnf(matrix-211, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u12), _u14)), c_Arrow__Order__Mirabelle_Omkbot(_u16, _u18))) | ( _u12 = _u18) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u12), _u14)), _u16)) )).
% 57.32/57.52 cnf(matrix-212, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u13), _u15)), c_Arrow__Order__Mirabelle_Omkbot(_u17, _u19))) | ( _u15 = _u19) | ( _u13 = _u19) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u13), _u15)), _u17)) )).
% 57.32/57.52 cnf(matrix-213, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u13), _u15)), c_Arrow__Order__Mirabelle_Omkbot(_u17, _u19))) | ( _u15 = _u19) | ( _u13 = _u15) | ( _u13 != _u19) )).
% 57.32/57.52 cnf(matrix-214, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u13), _u15)), c_Arrow__Order__Mirabelle_Omkbot(_u17, _u19))) | ( _u15 = _u19) | ( _u13 = _u15) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u13), _u15)), _u17)) )).
% 57.32/57.52 cnf(matrix-215, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u24), _u26)), c_Arrow__Order__Mirabelle_Omktop(_u28, _u30))) | ( _u24 != _u30) )).
% 57.32/57.52 cnf(matrix-216, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u24), _u26)), c_Arrow__Order__Mirabelle_Omktop(_u28, _u30))) | ( _u26 != _u30) | ( _u24 != _u26) )).
% 57.32/57.52 cnf(matrix-217, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u24), _u26)), c_Arrow__Order__Mirabelle_Omktop(_u28, _u30))) | ( _u26 = _u30) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u24), _u26)), _u28)) )).
% 57.32/57.52 cnf(matrix-218, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u25), _u27)), c_Arrow__Order__Mirabelle_Omktop(_u29, _u31))) | ( _u25 = _u31) | ( _u27 = _u31) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u25), _u27)), _u29)) )).
% 57.32/57.52 cnf(matrix-219, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u25), _u27)), c_Arrow__Order__Mirabelle_Omktop(_u29, _u31))) | ( _u25 = _u31) | ( _u25 = _u27) | ( _u27 != _u31) )).
% 57.32/57.52 cnf(matrix-220, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u25), _u27)), c_Arrow__Order__Mirabelle_Omktop(_u29, _u31))) | ( _u25 = _u31) | ( _u25 = _u27) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u25), _u27)), _u29)) )).
% 57.32/57.52 cnf(matrix-221, plain, ( ( v_a____ = v_a_H____) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a_H____), v_a____)), hAPP(v_F, v_Q____))) )).
% 57.32/57.52 cnf(matrix-222, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _u33))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_Q____, _u33))) )).
% 57.32/57.52 cnf(matrix-223, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_Q____, _u34))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _u34))) )).
% 57.32/57.52 cnf(matrix-224, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u40, _u42, _u44), _u46), _u48)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u40, _u42)), hAPP(hAPP(c_Product__Type_OPair(_u40, _u42), _u46), _u48)), _u44)) )).
% 57.32/57.52 cnf(matrix-225, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u41, _u43)), hAPP(hAPP(c_Product__Type_OPair(_u41, _u43), _u47), _u49)), _u45)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u41, _u43, _u45), _u47), _u49)) )).
% 57.32/57.52 cnf(matrix-226, plain, ( ~hBOOL(hAPP(_u50, _u51)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u52, _u52)), hAPP(hAPP(c_Product__Type_OPair(_u52, _u52), _u53), _u54)), hAPP(_u55, _u51))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u56, _u52), tc_prod(_u56, _u52))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u56, _u52), tc_prod(_u56, _u52)), hAPP(hAPP(c_Product__Type_OPair(_u56, _u52), _u51), _u53)), hAPP(hAPP(c_Product__Type_OPair(_u56, _u52), _u51), _u54))), c_Recdef_Osame__fst(_u56, _u52, _u50, _u55))) )).
% 57.32/57.52 cnf(matrix-227, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _u58))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a_H____), v_b_H____)), hAPP(v_P_H____, _u58))) )).
% 57.32/57.52 cnf(matrix-228, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a_H____), v_b_H____)), hAPP(v_P_H____, _u59))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _u59))) )).
% 57.32/57.52 cnf(matrix-229, plain, ( ~c_Nitpick_Orefl_H(_u64, _u66) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u64, _u64)), hAPP(hAPP(c_Product__Type_OPair(_u64, _u64), _u60), _u60)), _u66)) )).
% 57.32/57.52 cnf(matrix-230, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u65, _u65)), hAPP(hAPP(c_Product__Type_OPair(_u65, _u65), skolem2(_u67, _u65)), skolem2(_u67, _u65))), _u67)) | c_Nitpick_Orefl_H(_u65, _u67) )).
% 57.32/57.52 cnf(matrix-231, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(v_F, v_Q____)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.52 cnf(matrix-232, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_P____), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.52 cnf(matrix-233, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_P_H____), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.52 cnf(matrix-234, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u68), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Omkbot(_u68, _u69)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.52 cnf(matrix-235, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u70), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Omktop(_u70, _u71)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.52 cnf(matrix-236, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u72), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u73), _u74)), _u72)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u74), _u73)), _u72)) )).
% 57.32/57.52 cnf(matrix-237, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u75), c_Arrow__Order__Mirabelle_OLin)) | ( _u76 = _u77) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u76), _u77)), _u75)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u77), _u76)), _u75)) )).
% 57.32/57.52 cnf(matrix-238, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u75), c_Arrow__Order__Mirabelle_OLin)) | ( _u76 = _u77) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u77), _u76)), _u75)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u76), _u77)), _u75)) )).
% 57.32/57.52 cnf(matrix-239, plain, ( ( _u78 != _u79) | ~hBOOL(hAPP(hAPP(c_member(_u80), _u79), _u81)) | hBOOL(hAPP(hAPP(c_member(_u80), _u78), _u81)) )).
% 57.32/57.52 cnf(matrix-240, plain, ( ( _u82 != _u83) | ~hBOOL(hAPP(hAPP(c_member(_u84), _u82), _u85)) | hBOOL(hAPP(hAPP(c_member(_u84), _u83), _u85)) )).
% 57.32/57.52 cnf(matrix-241, plain, ( ( _u82 != _u83) | ~hBOOL(hAPP(hAPP(c_member(_u84), _u83), _u85)) | hBOOL(hAPP(hAPP(c_member(_u84), _u82), _u85)) )).
% 57.32/57.52 cnf(matrix-242, plain, ( ( _u86 != _u87) | ~hBOOL(hAPP(hAPP(c_member(_u88), _u89), _u86)) | hBOOL(hAPP(hAPP(c_member(_u88), _u89), _u87)) )).
% 57.32/57.52 cnf(matrix-243, plain, ( ( _u86 != _u87) | ~hBOOL(hAPP(hAPP(c_member(_u88), _u89), _u87)) | hBOOL(hAPP(hAPP(c_member(_u88), _u89), _u86)) )).
% 57.32/57.52 cnf(matrix-244, plain, ( hBOOL(hAPP(_u97, _u95)) | ~hBOOL(hAPP(hAPP(c_member(_u93), _u95), _u97)) )).
% 57.32/57.52 cnf(matrix-245, plain, ( ~hBOOL(hAPP(_u98, _u96)) | hBOOL(hAPP(hAPP(c_member(_u94), _u96), _u98)) )).
% 57.32/57.52 cnf(matrix-246, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_Q____), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.52 cnf(matrix-247, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 != _u103) )).
% 57.32/57.52 cnf(matrix-248, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u103 != _u99) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) )).
% 57.32/57.52 cnf(matrix-249, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u103 = _u99) | ( _u102 != _u99) | ( _u103 = _u100) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u100), _u103)), _u101)) )).
% 57.32/57.52 cnf(matrix-250, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u103 = _u99) | ( _u102 = _u99) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) )).
% 57.32/57.52 cnf(matrix-251, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ( _u103 = _u99) | ( _u102 = _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) )).
% 57.32/57.52 cnf(matrix-252, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ( _u103 = _u99) | ( _u102 != _u99) | ( _u103 != _u100) )).
% 57.32/57.52 cnf(matrix-253, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ( _u103 = _u99) | ( _u102 != _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u100), _u103)), _u101)) )).
% 57.32/57.52 cnf(matrix-254, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ( _u103 = _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) | ( _u103 != _u100) )).
% 57.32/57.52 cnf(matrix-255, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ( _u103 = _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u100), _u103)), _u101)) )).
% 57.32/57.52 cnf(matrix-256, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ( _u103 != _u99) )).
% 57.32/57.52 cnf(matrix-257, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ( _u102 = _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) )).
% 57.32/57.52 cnf(matrix-258, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ( _u102 != _u99) | ( _u103 != _u100) )).
% 57.32/57.52 cnf(matrix-259, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ( _u102 != _u99) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u100), _u103)), _u101)) )).
% 57.32/57.52 cnf(matrix-260, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) | ( _u103 != _u100) )).
% 57.32/57.52 cnf(matrix-261, plain, ( ( _u99 = _u100) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u101), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), c_Arrow__Order__Mirabelle_Obelow(_u101, _u99, _u100))) | ( _u102 = _u103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u100)), _u101)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u102), _u103)), _u101)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u100), _u103)), _u101)) )).
% 57.32/57.52 cnf(matrix-262, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 != _u108) )).
% 57.32/57.52 cnf(matrix-263, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 != _u105) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) )).
% 57.32/57.52 cnf(matrix-264, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u105) | ( _u108 != _u105) | ( _u107 = _u104) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u104)), _u106)) )).
% 57.32/57.52 cnf(matrix-265, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u105) | ( _u108 = _u105) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) )).
% 57.32/57.52 cnf(matrix-266, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ( _u107 = _u105) | ( _u108 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) )).
% 57.32/57.52 cnf(matrix-267, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ( _u107 = _u105) | ( _u108 != _u105) | ( _u107 != _u104) )).
% 57.32/57.52 cnf(matrix-268, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ( _u107 = _u105) | ( _u108 != _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u104)), _u106)) )).
% 57.32/57.52 cnf(matrix-269, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ( _u107 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) | ( _u107 != _u104) )).
% 57.32/57.52 cnf(matrix-270, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ( _u107 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u104)), _u106)) )).
% 57.32/57.52 cnf(matrix-271, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ( _u107 != _u105) )).
% 57.32/57.52 cnf(matrix-272, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ( _u108 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) )).
% 57.32/57.52 cnf(matrix-273, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ( _u108 != _u105) | ( _u107 != _u104) )).
% 57.32/57.52 cnf(matrix-274, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ( _u108 != _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u104)), _u106)) )).
% 57.32/57.52 cnf(matrix-275, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) | ( _u107 != _u104) )).
% 57.32/57.52 cnf(matrix-276, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u106), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u106), _u104), _u105))) | ( _u107 = _u108) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u104), _u108)), _u106)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u108)), _u106)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u107), _u104)), _u106)) )).
% 57.32/57.52 cnf(matrix-277, plain, ( ( _u109 = _u110) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u111), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u111), _u109), _u110)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.52 cnf(matrix-278, plain, ( ( _u112 = _u113) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u114), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Obelow(_u114, _u112, _u113)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.52 cnf(matrix-279, plain, ( ( hAPP(v_Q____, _u115) = c_HOL_OLet(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(hAPP(c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(hAPP(c_fequal, v_a____), v_a_H____)), hAPP(v_P____, _u115)), c_Arrow__Order__Mirabelle_Obelow(hAPP(v_P____, _u115), v_a_H____, v_a____)), hAPP(hAPP(c_COMBS(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(hAPP(c_fequal, v_b____), v_b_H____))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), c_Arrow__Order__Mirabelle_Oabove), v_b____)), v_b_H____)))) )).
% 57.32/57.52 cnf(matrix-280, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u124, _u126), tc_prod(_u124, _u126))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u124, _u126), tc_prod(_u124, _u126)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u126), _u128), _u130)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u126), _u132), _u134))), c_Wellfounded_Olex__prod(_u124, _u126, _u136, _u138))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u124, _u124)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u124), _u128), _u132)), _u136)) | ( _u128 = _u132) )).
% 57.32/57.52 cnf(matrix-281, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u124, _u126), tc_prod(_u124, _u126))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u124, _u126), tc_prod(_u124, _u126)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u126), _u128), _u130)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u126), _u132), _u134))), c_Wellfounded_Olex__prod(_u124, _u126, _u136, _u138))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u124, _u124)), hAPP(hAPP(c_Product__Type_OPair(_u124, _u124), _u128), _u132)), _u136)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u126, _u126)), hAPP(hAPP(c_Product__Type_OPair(_u126, _u126), _u130), _u134)), _u138)) )).
% 57.32/57.52 cnf(matrix-282, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u125, _u127), tc_prod(_u125, _u127))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u125, _u127), tc_prod(_u125, _u127)), hAPP(hAPP(c_Product__Type_OPair(_u125, _u127), _u129), _u131)), hAPP(hAPP(c_Product__Type_OPair(_u125, _u127), _u133), _u135))), c_Wellfounded_Olex__prod(_u125, _u127, _u137, _u139))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u125, _u125)), hAPP(hAPP(c_Product__Type_OPair(_u125, _u125), _u129), _u133)), _u137)) )).
% 57.32/57.52 cnf(matrix-283, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u125, _u127), tc_prod(_u125, _u127))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u125, _u127), tc_prod(_u125, _u127)), hAPP(hAPP(c_Product__Type_OPair(_u125, _u127), _u129), _u131)), hAPP(hAPP(c_Product__Type_OPair(_u125, _u127), _u133), _u135))), c_Wellfounded_Olex__prod(_u125, _u127, _u137, _u139))) | ( _u129 != _u133) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u127, _u127)), hAPP(hAPP(c_Product__Type_OPair(_u127, _u127), _u131), _u135)), _u139)) )).
% 57.32/57.52 cnf(matrix-284, plain, ( ( _u141 = _u142) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), skolem3(_u142, _u141)), c_Arrow__Order__Mirabelle_OLin)) )).
% 57.32/57.52 cnf(matrix-285, plain, ( ( _u141 = _u142) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u141), _u142)), skolem3(_u142, _u141))) )).
% 57.32/57.52 cnf(matrix-286, plain, ( ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u153, _u155, _u157, _u159, _u161), hAPP(hAPP(_u159, _u163), _u161))) | ( hAPP(hAPP(_u159, _u163), _u161) = hAPP(hAPP(_u159, skolem4(_u163, _u161, _u159, _u157, _u155, _u153)), _u161)) )).
% 57.32/57.52 cnf(matrix-287, plain, ( ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u153, _u155, _u157, _u159, _u161), hAPP(hAPP(_u159, _u163), _u161))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u153, _u153)), hAPP(hAPP(c_Product__Type_OPair(_u153, _u153), _u143), _u161)), _u157)) | hBOOL(hAPP(c_Recdef_Owfrec__rel(_u153, _u155, _u157, _u159, _u143), hAPP(skolem4(_u163, _u161, _u159, _u157, _u155, _u153), _u143))) )).
% 57.32/57.52 cnf(matrix-288, plain, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u154, _u156, _u158, _u160, _u162), hAPP(hAPP(_u160, _u164), _u162))) | ( hAPP(hAPP(_u160, _u164), _u162) != hAPP(hAPP(_u160, _u146), _u162)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u154, _u154)), hAPP(hAPP(c_Product__Type_OPair(_u154, _u154), skolem5(_u164, _u162, _u160, _u158, _u156, _u154, _u146)), _u162)), _u158)) )).
% 57.32/57.52 cnf(matrix-289, plain, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u154, _u156, _u158, _u160, _u162), hAPP(hAPP(_u160, _u164), _u162))) | ( hAPP(hAPP(_u160, _u164), _u162) != hAPP(hAPP(_u160, _u146), _u162)) | ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u154, _u156, _u158, _u160, skolem5(_u164, _u162, _u160, _u158, _u156, _u154, _u146)), hAPP(_u146, skolem5(_u164, _u162, _u160, _u158, _u156, _u154, _u146)))) )).
% 57.32/57.52 cnf(matrix-290, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u165, _u165)), hAPP(hAPP(c_Product__Type_OPair(_u165, _u165), _u166), _u167)), _u168)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u165, _u169), _u170), _u168), _u167), _u166) = hAPP(_u170, _u166)) )).
% 57.32/57.52 cnf(matrix-291, plain, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u179, _u181), _u183), _u185), _u187) != hAPP(hAPP(hAPP(c_Recdef_Ocut(_u179, _u181), _u189), _u185), _u187)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u179, _u179)), hAPP(hAPP(c_Product__Type_OPair(_u179, _u179), _u171), _u187)), _u185)) | ( hAPP(_u183, _u171) = hAPP(_u189, _u171)) )).
% 57.32/57.52 cnf(matrix-292, plain, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u180, _u182), _u184), _u186), _u188) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_u180, _u182), _u190), _u186), _u188)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u180, _u180)), hAPP(hAPP(c_Product__Type_OPair(_u180, _u180), skolem6(_u190, _u188, _u186, _u184, _u182, _u180)), _u188)), _u186)) )).
% 57.32/57.52 cnf(matrix-293, plain, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u180, _u182), _u184), _u186), _u188) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_u180, _u182), _u190), _u186), _u188)) | ( hAPP(_u184, skolem6(_u190, _u188, _u186, _u184, _u182, _u180)) != hAPP(_u190, skolem6(_u190, _u188, _u186, _u184, _u182, _u180))) )).
% 57.32/57.52 cnf(matrix-294, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_F), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))) )).
% 57.32/57.52 cnf(matrix-295, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u191), c_Arrow__Order__Mirabelle_OLin)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, _u191)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.52 cnf(matrix-296, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u194, _u194)), hAPP(hAPP(c_Product__Type_OPair(_u194, _u194), _u195), _u196)), _u192)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u194, _u197), _u193), _u192), _u196), _u195) = hAPP(_u193, _u195)) )).
% 57.32/57.52 cnf(matrix-297, plain, ( ( _u206 = _u208) | ( hAPP(hAPP(c_COMBC(_u202, tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_fun(_u204, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u204, tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_fun(_u204, tc_HOL_Obool)), _u202, c_COMBC(_u204, tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u204, tc_prod(_u202, _u204)), tc_fun(_u204, tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), _u202, c_COMBB(tc_prod(_u202, _u204), tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool), _u204, c_member(tc_prod(_u202, _u204)))), c_Product__Type_OPair(_u202, _u204)))), _u206) != hAPP(hAPP(c_COMBC(_u202, tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_fun(_u204, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u204, tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_fun(_u204, tc_HOL_Obool)), _u202, c_COMBC(_u204, tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u204, tc_prod(_u202, _u204)), tc_fun(_u204, tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool)), _u202, c_COMBB(tc_prod(_u202, _u204), tc_fun(tc_fun(tc_prod(_u202, _u204), tc_HOL_Obool), tc_HOL_Obool), _u204, c_member(tc_prod(_u202, _u204)))), c_Product__Type_OPair(_u202, _u204)))), _u208)) )).
% 57.32/57.52 cnf(matrix-298, plain, ( ( _u207 != _u209) | ( hAPP(hAPP(c_COMBC(_u203, tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_fun(_u205, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u205, tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_fun(_u205, tc_HOL_Obool)), _u203, c_COMBC(_u205, tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u205, tc_prod(_u203, _u205)), tc_fun(_u205, tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), _u203, c_COMBB(tc_prod(_u203, _u205), tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool), _u205, c_member(tc_prod(_u203, _u205)))), c_Product__Type_OPair(_u203, _u205)))), _u207) = hAPP(hAPP(c_COMBC(_u203, tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_fun(_u205, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u205, tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_fun(_u205, tc_HOL_Obool)), _u203, c_COMBC(_u205, tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u205, tc_prod(_u203, _u205)), tc_fun(_u205, tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool)), _u203, c_COMBB(tc_prod(_u203, _u205), tc_fun(tc_fun(tc_prod(_u203, _u205), tc_HOL_Obool), tc_HOL_Obool), _u205, c_member(tc_prod(_u203, _u205)))), c_Product__Type_OPair(_u203, _u205)))), _u209)) )).
% 57.32/57.52 cnf(matrix-299, plain, ( ~c_Arrow__Order__Mirabelle_Ounanimity(_u219) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u213), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u212), _u211)), hAPP(_u213, skolem7(_u219, _u213, _u212, _u211)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u212), _u211)), hAPP(_u219, _u213))) )).
% 57.32/57.52 cnf(matrix-300, plain, ( c_Arrow__Order__Mirabelle_Ounanimity(_u220) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), skolem8(_u220)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.52 cnf(matrix-301, plain, ( c_Arrow__Order__Mirabelle_Ounanimity(_u220) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem9(_u220)), skolem10(_u220))), hAPP(skolem8(_u220), _u214))) )).
% 57.32/57.52 cnf(matrix-302, plain, ( c_Arrow__Order__Mirabelle_Ounanimity(_u220) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem9(_u220)), skolem10(_u220))), hAPP(_u220, skolem8(_u220)))) )).
% 57.32/57.52 cnf(matrix-303, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem11(_u236, _u225, _u224, _u223, _u222)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.52 cnf(matrix-304, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem11(_u236, _u225, _u224, _u223, _u222)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.52 cnf(matrix-305, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem11(_u236, _u225, _u224, _u223, _u222)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.52 cnf(matrix-306, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem11(_u236, _u225, _u224, _u223, _u222)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.52 cnf(matrix-307, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem11(_u236, _u225, _u224, _u223, _u222)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.52 cnf(matrix-308, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem11(_u236, _u225, _u224, _u223, _u222)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.52 cnf(matrix-309, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem11(_u236, _u225, _u224, _u223, _u222)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.52 cnf(matrix-310, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u236) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u225), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u224), c_Arrow__Order__Mirabelle_OProf)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u224))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u236, _u225))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u224, skolem11(_u236, _u225, _u224, _u223, _u222)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u223), _u222)), hAPP(_u225, skolem12(_u236, _u225, _u224, _u223, _u222)))) )).
% 57.32/57.52 cnf(matrix-311, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), skolem13(_u237)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.52 cnf(matrix-312, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), skolem14(_u237)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.52 cnf(matrix-313, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(skolem13(_u237), _u234))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(skolem14(_u237), _u234))) )).
% 57.32/57.52 cnf(matrix-314, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(skolem14(_u237), _u235))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(skolem13(_u237), _u235))) )).
% 57.32/57.52 cnf(matrix-315, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(_u237, skolem13(_u237)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(_u237, skolem14(_u237)))) )).
% 57.32/57.52 cnf(matrix-316, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u237) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(_u237, skolem14(_u237)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem15(_u237)), skolem16(_u237))), hAPP(_u237, skolem13(_u237)))) )).
% 57.32/57.52 cnf(matrix-317, plain, ( c_Recdef_Oadm__wf(_u238, _u239, _u240, hAPP(hAPP(c_COMBC(tc_fun(_u238, _u239), tc_fun(_u238, _u238), tc_fun(_u238, _u239)), hAPP(c_COMBB(tc_fun(_u238, tc_fun(_u238, _u239)), tc_fun(tc_fun(_u238, _u238), tc_fun(_u238, _u239)), tc_fun(_u238, _u239), c_COMBS(_u238, _u238, _u239)), hAPP(c_COMBB(tc_fun(_u238, tc_fun(_u238, _u239)), tc_fun(_u238, tc_fun(_u238, _u239)), tc_fun(_u238, _u239), c_COMBB(tc_fun(_u238, _u239), tc_fun(_u238, _u239), _u238, _u241)), hAPP(hAPP(c_COMBC(tc_fun(_u238, _u239), tc_fun(tc_prod(_u238, _u238), tc_HOL_Obool), tc_fun(_u238, tc_fun(_u238, _u239))), c_Recdef_Ocut(_u238, _u239)), _u240)))), c_COMBI(_u238))) )).
% 57.32/57.52 cnf(matrix-318, plain, ( ~c_Arrow__Order__Mirabelle_Odictator(_u246, _u248) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u242), c_Arrow__Order__Mirabelle_OProf)) | ( hAPP(_u246, _u242) = hAPP(_u242, _u248)) )).
% 57.32/57.52 cnf(matrix-319, plain, ( c_Arrow__Order__Mirabelle_Odictator(_u247, _u249) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), skolem17(_u249, _u247)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.52 cnf(matrix-320, plain, ( c_Arrow__Order__Mirabelle_Odictator(_u247, _u249) | ( hAPP(_u247, skolem17(_u249, _u247)) != hAPP(skolem17(_u249, _u247), _u249)) )).
% 57.32/57.52 cnf(matrix-321, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u256, _u256)), hAPP(hAPP(c_Product__Type_OPair(_u256, _u256), _u258), _u260)), _u262)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u256, _u264), _u266), _u262), _u260), _u258) = hAPP(_u266, _u258)) )).
% 57.32/57.52 cnf(matrix-322, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u257, _u257)), hAPP(hAPP(c_Product__Type_OPair(_u257, _u257), _u259), _u261)), _u263)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u257, _u265), _u267), _u263), _u261), _u259) = c_HOL_Oundefined(_u265)) )).
% 57.32/57.52 cnf(matrix-323, plain, ( ( _u273 = _u275) | ( hAPP(hAPP(c_COMBC(_u271, tc_fun(_u271, tc_HOL_Obool), tc_HOL_Obool), c_member(_u271)), _u273) != hAPP(hAPP(c_COMBC(_u271, tc_fun(_u271, tc_HOL_Obool), tc_HOL_Obool), c_member(_u271)), _u275)) )).
% 57.32/57.52 cnf(matrix-324, plain, ( ( _u274 != _u276) | ( hAPP(hAPP(c_COMBC(_u272, tc_fun(_u272, tc_HOL_Obool), tc_HOL_Obool), c_member(_u272)), _u274) = hAPP(hAPP(c_COMBC(_u272, tc_fun(_u272, tc_HOL_Obool), tc_HOL_Obool), c_member(_u272)), _u276)) )).
% 57.32/57.52 cnf(matrix-325, plain, ( ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u287, _u289, _u291, _u293, _u295), _u297)) | ( _u297 = hAPP(hAPP(_u293, skolem18(_u297, _u295, _u293, _u291, _u289, _u287)), _u295)) )).
% 57.32/57.52 cnf(matrix-326, plain, ( ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u287, _u289, _u291, _u293, _u295), _u297)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u287, _u287)), hAPP(hAPP(c_Product__Type_OPair(_u287, _u287), _u277), _u295)), _u291)) | hBOOL(hAPP(c_Recdef_Owfrec__rel(_u287, _u289, _u291, _u293, _u277), hAPP(skolem18(_u297, _u295, _u293, _u291, _u289, _u287), _u277))) )).
% 57.32/57.52 cnf(matrix-327, plain, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u288, _u290, _u292, _u294, _u296), _u298)) | ( _u298 != hAPP(hAPP(_u294, _u280), _u296)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u288, _u288)), hAPP(hAPP(c_Product__Type_OPair(_u288, _u288), skolem19(_u298, _u296, _u294, _u292, _u290, _u288, _u280)), _u296)), _u292)) )).
% 57.32/57.52 cnf(matrix-328, plain, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u288, _u290, _u292, _u294, _u296), _u298)) | ( _u298 != hAPP(hAPP(_u294, _u280), _u296)) | ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u288, _u290, _u292, _u294, skolem19(_u298, _u296, _u294, _u292, _u290, _u288, _u280)), hAPP(_u280, skolem19(_u298, _u296, _u294, _u292, _u290, _u288, _u280)))) )).
% 57.32/57.52 cnf(matrix-329, plain, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u300, _u303, _u302, _u304, _u301), hAPP(hAPP(_u304, _u305), _u301))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u300, _u300)), hAPP(hAPP(c_Product__Type_OPair(_u300, _u300), skolem20(_u305, _u304, _u303, _u302, _u301, _u300)), _u301)), _u302)) )).
% 57.32/57.52 cnf(matrix-330, plain, ( hBOOL(hAPP(c_Recdef_Owfrec__rel(_u300, _u303, _u302, _u304, _u301), hAPP(hAPP(_u304, _u305), _u301))) | ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u300, _u303, _u302, _u304, skolem20(_u305, _u304, _u303, _u302, _u301, _u300)), hAPP(_u305, skolem20(_u305, _u304, _u303, _u302, _u301, _u300)))) )).
% 57.32/57.52 cnf(matrix-331, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u311), _u313), c_Wellfounded_Oacc(_u311, _u315))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u311, _u311)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u311), _u306), _u313)), _u315)) | hBOOL(hAPP(hAPP(c_member(_u311), _u306), c_Wellfounded_Oacc(_u311, _u315))) )).
% 57.32/57.52 cnf(matrix-332, plain, ( hBOOL(hAPP(hAPP(c_member(_u312), _u314), c_Wellfounded_Oacc(_u312, _u316))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u312, _u312)), hAPP(hAPP(c_Product__Type_OPair(_u312, _u312), skolem21(_u316, _u314, _u312)), _u314)), _u316)) )).
% 57.32/57.52 cnf(matrix-333, plain, ( hBOOL(hAPP(hAPP(c_member(_u312), _u314), c_Wellfounded_Oacc(_u312, _u316))) | ~hBOOL(hAPP(hAPP(c_member(_u312), skolem21(_u316, _u314, _u312)), c_Wellfounded_Oacc(_u312, _u316))) )).
% 57.32/57.52 cnf(matrix-334, plain, ( ( _u322 = _u324) | ~hBOOL(hAPP(hAPP(c_member(_u320), _u322), hAPP(c_fequal, _u324))) )).
% 57.32/57.52 cnf(matrix-335, plain, ( ( _u323 != _u325) | hBOOL(hAPP(hAPP(c_member(_u321), _u323), hAPP(c_fequal, _u325))) )).
% 57.32/57.52 cnf(matrix-336, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u326), _u327), c_Wellfounded_Oacc(_u326, _u328))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u326, _u326)), hAPP(hAPP(c_Product__Type_OPair(_u326, _u326), _u329), _u327)), _u328)) | hBOOL(hAPP(hAPP(c_member(_u326), _u329), c_Wellfounded_Oacc(_u326, _u328))) )).
% 57.32/57.52 cnf(matrix-337, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u330, _u331)), _u332), c_FuncSet_OPi(_u330, _u331, _u333, _u334))) | hBOOL(hAPP(hAPP(c_member(_u331), hAPP(_u332, _u335)), hAPP(_u334, _u335))) | ~hBOOL(hAPP(hAPP(c_member(_u330), _u335), _u333)) )).
% 57.32/57.52 cnf(matrix-338, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u339), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))) | c_Arrow__Order__Mirabelle_Odictator(_u339, _u340) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), skolem22(_u340, _u339)), c_Arrow__Order__Mirabelle_OProf)) )).
% 57.32/57.52 cnf(matrix-339, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u339), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))) | c_Arrow__Order__Mirabelle_Odictator(_u339, _u340) | ( skolem23(_u340, _u339) != skolem24(_u340, _u339)) )).
% 57.32/57.52 cnf(matrix-340, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u339), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))) | c_Arrow__Order__Mirabelle_Odictator(_u339, _u340) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem23(_u340, _u339)), skolem24(_u340, _u339))), hAPP(skolem22(_u340, _u339), _u340))) )).
% 57.32/57.52 cnf(matrix-341, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _u339), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))) | c_Arrow__Order__Mirabelle_Odictator(_u339, _u340) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem23(_u340, _u339)), skolem24(_u340, _u339))), hAPP(_u339, skolem22(_u340, _u339)))) )).
% 57.32/57.52 cnf(matrix-342, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u341, _u342)), _u343), c_FuncSet_OPi(_u341, _u342, _u344, c_COMBK(tc_fun(_u342, tc_HOL_Obool), _u341, _u345)))) | ~hBOOL(hAPP(hAPP(c_member(_u341), _u346), _u344)) | hBOOL(hAPP(hAPP(c_member(_u342), hAPP(_u343, _u346)), _u345)) )).
% 57.32/57.52 cnf(matrix-343, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u347, _u348)), _u349), c_FuncSet_OPi(_u347, _u348, _u350, _u351))) | ~hBOOL(hAPP(hAPP(c_member(_u347), _u352), _u350)) | hBOOL(hAPP(hAPP(c_member(_u348), hAPP(_u349, _u352)), hAPP(_u351, _u352))) )).
% 57.32/57.52 cnf(matrix-344, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u353, _u353)), c_COMBI(_u353)), c_FuncSet_OPi(_u353, _u353, _u354, c_COMBK(tc_fun(_u353, tc_HOL_Obool), _u353, _u354)))) )).
% 57.32/57.52 cnf(matrix-345, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u358, hAPP(hAPP(c_COMBC(_u358, tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_fun(_u358, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u358, tc_fun(tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_fun(_u358, tc_HOL_Obool)), _u358, c_COMBC(_u358, tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u358, tc_prod(_u358, _u358)), tc_fun(_u358, tc_fun(tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_HOL_Obool)), _u358, c_COMBB(tc_prod(_u358, _u358), tc_fun(tc_fun(tc_prod(_u358, _u358), tc_HOL_Obool), tc_HOL_Obool), _u358, c_member(tc_prod(_u358, _u358)))), c_Product__Type_OPair(_u358, _u358)))), _u360)), _u362)) | hBOOL(hAPP(hAPP(c_member(_u358), _u362), c_Wellfounded_Oacc(_u358, _u360))) )).
% 57.32/57.52 cnf(matrix-346, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u359), _u363), c_Wellfounded_Oacc(_u359, _u361))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u359, hAPP(hAPP(c_COMBC(_u359, tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_fun(_u359, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u359, tc_fun(tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_fun(_u359, tc_HOL_Obool)), _u359, c_COMBC(_u359, tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u359, tc_prod(_u359, _u359)), tc_fun(_u359, tc_fun(tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_HOL_Obool)), _u359, c_COMBB(tc_prod(_u359, _u359), tc_fun(tc_fun(tc_prod(_u359, _u359), tc_HOL_Obool), tc_HOL_Obool), _u359, c_member(tc_prod(_u359, _u359)))), c_Product__Type_OPair(_u359, _u359)))), _u361)), _u363)) )).
% 57.32/57.52 cnf(matrix-347, plain, ( hBOOL(hAPP(hAPP(c_member(_u365), _u366), c_Wellfounded_Oacc(_u365, _u367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u365, _u365)), hAPP(hAPP(c_Product__Type_OPair(_u365, _u365), skolem25(_u367, _u366, _u365)), _u366)), _u367)) )).
% 57.32/57.52 cnf(matrix-348, plain, ( hBOOL(hAPP(hAPP(c_member(_u365), _u366), c_Wellfounded_Oacc(_u365, _u367))) | ~hBOOL(hAPP(hAPP(c_member(_u365), skolem25(_u367, _u366, _u365)), c_Wellfounded_Oacc(_u365, _u367))) )).
% 57.32/57.52 cnf(matrix-349, plain, ( hBOOL(hAPP(hAPP(c_member(_u369), _u370), c_Wellfounded_Oacc(_u369, _u371))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u369, _u369)), hAPP(hAPP(c_Product__Type_OPair(_u369, _u369), skolem26(_u371, _u370, _u369)), _u370)), _u371)) )).
% 57.32/57.52 cnf(matrix-350, plain, ( hBOOL(hAPP(hAPP(c_member(_u369), _u370), c_Wellfounded_Oacc(_u369, _u371))) | ~hBOOL(hAPP(hAPP(c_member(_u369), skolem26(_u371, _u370, _u369)), c_Wellfounded_Oacc(_u369, _u371))) )).
% 57.32/57.52 cnf(matrix-351, plain, ( ~c_Recdef_Oadm__wf(_u384, _u386, _u388, _u390) | ( hAPP(hAPP(_u390, _u375), _u373) = hAPP(hAPP(_u390, _u374), _u373)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u384, _u384)), hAPP(hAPP(c_Product__Type_OPair(_u384, _u384), skolem27(_u390, _u388, _u386, _u384, _u375, _u374, _u373)), _u373)), _u388)) )).
% 57.32/57.52 cnf(matrix-352, plain, ( ~c_Recdef_Oadm__wf(_u384, _u386, _u388, _u390) | ( hAPP(hAPP(_u390, _u375), _u373) = hAPP(hAPP(_u390, _u374), _u373)) | ( hAPP(_u375, skolem27(_u390, _u388, _u386, _u384, _u375, _u374, _u373)) != hAPP(_u374, skolem27(_u390, _u388, _u386, _u384, _u375, _u374, _u373))) )).
% 57.32/57.52 cnf(matrix-353, plain, ( c_Recdef_Oadm__wf(_u385, _u387, _u389, _u391) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u385, _u385)), hAPP(hAPP(c_Product__Type_OPair(_u385, _u385), _u376), skolem30(_u391, _u389, _u387, _u385))), _u389)) | ( hAPP(skolem28(_u391, _u389, _u387, _u385), _u376) = hAPP(skolem29(_u391, _u389, _u387, _u385), _u376)) )).
% 57.32/57.52 cnf(matrix-354, plain, ( c_Recdef_Oadm__wf(_u385, _u387, _u389, _u391) | ( hAPP(hAPP(_u391, skolem28(_u391, _u389, _u387, _u385)), skolem30(_u391, _u389, _u387, _u385)) != hAPP(hAPP(_u391, skolem29(_u391, _u389, _u387, _u385)), skolem30(_u391, _u389, _u387, _u385))) )).
% 57.32/57.52 cnf(matrix-355, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u397, _u399), _u401)) | ~hBOOL(hAPP(hAPP(_u399, _u392), _u401)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u397, _u399), _u392)) )).
% 57.32/57.52 cnf(matrix-356, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u398, _u400), _u402)) | hBOOL(hAPP(hAPP(_u400, skolem31(_u402, _u400, _u398)), _u402)) )).
% 57.32/57.52 cnf(matrix-357, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u398, _u400), _u402)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u398, _u400), skolem31(_u402, _u400, _u398))) )).
% 57.32/57.52 cnf(matrix-358, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u408, _u410), _u412)) | ~hBOOL(hAPP(hAPP(_u410, _u403), _u412)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u408, _u410), _u403)) )).
% 57.32/57.52 cnf(matrix-359, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u409, _u411), _u413)) | hBOOL(hAPP(hAPP(_u411, skolem32(_u413, _u411, _u409)), _u413)) )).
% 57.32/57.52 cnf(matrix-360, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u409, _u411), _u413)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u409, _u411), skolem32(_u413, _u411, _u409))) )).
% 57.32/57.52 cnf(matrix-361, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u414, _u415), _u416)) | ~hBOOL(hAPP(hAPP(_u415, _u417), _u416)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u414, _u415), _u417)) )).
% 57.32/57.52 cnf(matrix-362, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u418, _u419)), _u420), c_FuncSet_Oextensional(_u418, _u419, _u421))) | hBOOL(hAPP(hAPP(c_member(_u418), _u422), _u421)) | ( hAPP(_u420, _u422) = c_HOL_Oundefined(_u419)) )).
% 57.32/57.52 cnf(matrix-363, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u424, _u426)), _u427), c_FuncSet_OPi(_u424, _u426, _u425, _u428))) | hBOOL(hAPP(hAPP(c_member(_u424), skolem33(_u428, _u427, _u426, _u425, _u424)), _u425)) )).
% 57.32/57.52 cnf(matrix-364, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u424, _u426)), _u427), c_FuncSet_OPi(_u424, _u426, _u425, _u428))) | ~hBOOL(hAPP(hAPP(c_member(_u426), hAPP(_u427, skolem33(_u428, _u427, _u426, _u425, _u424))), hAPP(_u428, skolem33(_u428, _u427, _u426, _u425, _u424)))) )).
% 57.32/57.52 cnf(matrix-365, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u430, _u432)), _u433), c_FuncSet_OPi(_u430, _u432, _u431, c_COMBK(tc_fun(_u432, tc_HOL_Obool), _u430, _u434)))) | hBOOL(hAPP(hAPP(c_member(_u430), skolem34(_u434, _u433, _u432, _u431, _u430)), _u431)) )).
% 57.32/57.52 cnf(matrix-366, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u430, _u432)), _u433), c_FuncSet_OPi(_u430, _u432, _u431, c_COMBK(tc_fun(_u432, tc_HOL_Obool), _u430, _u434)))) | ~hBOOL(hAPP(hAPP(c_member(_u432), hAPP(_u433, skolem34(_u434, _u433, _u432, _u431, _u430))), _u434)) )).
% 57.32/57.52 cnf(matrix-367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u435, _u436)), _u437), c_FuncSet_Oextensional__funcset(_u435, _u436, _u438, _u439))) | hBOOL(hAPP(hAPP(c_member(_u435), _u440), _u438)) | ( hAPP(_u437, _u440) = c_HOL_Oundefined(_u436)) )).
% 57.32/57.52 cnf(matrix-368, plain, ( hBOOL(hAPP(hAPP(c_member(_u442), skolem35(_u447, _u446, _u445, _u444, _u443, _u442)), _u443)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u444), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u445), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) )).
% 57.32/57.52 cnf(matrix-369, plain, ( hBOOL(hAPP(hAPP(c_member(_u442), skolem35(_u447, _u446, _u445, _u444, _u443, _u442)), _u443)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u445), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u444), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) )).
% 57.32/57.52 cnf(matrix-370, plain, ( ( hAPP(_u444, skolem35(_u447, _u446, _u445, _u444, _u443, _u442)) != hAPP(_u445, skolem35(_u447, _u446, _u445, _u444, _u443, _u442))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u444), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u445), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) )).
% 57.32/57.52 cnf(matrix-371, plain, ( ( hAPP(_u444, skolem35(_u447, _u446, _u445, _u444, _u443, _u442)) != hAPP(_u445, skolem35(_u447, _u446, _u445, _u444, _u443, _u442))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u445), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u442, _u446)), _u444), c_FuncSet_OPi(_u442, _u446, _u443, _u447))) )).
% 57.32/57.52 cnf(matrix-372, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u449, _u451)), _u452), c_FuncSet_OPi(_u449, _u451, _u450, _u453))) | hBOOL(hAPP(hAPP(c_member(_u449), skolem36(_u453, _u452, _u451, _u450, _u449)), _u450)) )).
% 57.32/57.52 cnf(matrix-373, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u449, _u451)), _u452), c_FuncSet_OPi(_u449, _u451, _u450, _u453))) | ~hBOOL(hAPP(hAPP(c_member(_u451), hAPP(_u452, skolem36(_u453, _u452, _u451, _u450, _u449))), hAPP(_u453, skolem36(_u453, _u452, _u451, _u450, _u449)))) )).
% 57.32/57.52 cnf(matrix-374, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u454, _u455)), _u456), c_FuncSet_OPi(_u454, _u455, _u457, c_COMBK(tc_fun(_u455, tc_HOL_Obool), _u454, _u458)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u455, _u459)), _u460), c_FuncSet_OPi(_u455, _u459, _u458, c_COMBK(tc_fun(_u459, tc_HOL_Obool), _u455, _u461)))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u454, _u459)), c_FuncSet_Ocompose(_u454, _u455, _u459, _u457, _u460, _u456)), c_FuncSet_OPi(_u454, _u459, _u457, c_COMBK(tc_fun(_u459, tc_HOL_Obool), _u454, _u461)))) )).
% 57.32/57.52 cnf(matrix-375, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u462, _u463)), _u464), c_FuncSet_OPi(_u462, _u463, _u465, c_COMBK(tc_fun(_u463, tc_HOL_Obool), _u462, _u466)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u463, _u467)), _u468), c_FuncSet_OPi(_u463, _u467, _u466, c_COMBK(tc_fun(_u467, tc_HOL_Obool), _u463, _u469)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u467, _u470)), _u471), c_FuncSet_OPi(_u467, _u470, _u469, c_COMBK(tc_fun(_u470, tc_HOL_Obool), _u467, _u472)))) | ( c_FuncSet_Ocompose(_u462, _u467, _u470, _u465, _u471, c_FuncSet_Ocompose(_u462, _u463, _u467, _u465, _u468, _u464)) = c_FuncSet_Ocompose(_u462, _u463, _u470, _u465, c_FuncSet_Ocompose(_u463, _u467, _u470, _u466, _u471, _u468), _u464)) )).
% 57.32/57.52 cnf(matrix-376, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u473), _u474), c_Wellfounded_Oacc(_u473, _u475))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u473, _u473)), hAPP(hAPP(c_Product__Type_OPair(_u473, _u473), _u476), _u474)), c_Transitive__Closure_Ortrancl(_u473, _u475))) | hBOOL(hAPP(hAPP(c_member(_u473), _u476), c_Wellfounded_Oacc(_u473, _u475))) )).
% 57.32/57.52 cnf(matrix-377, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u477, _u478)), c_FuncSet_Ocompose(_u477, _u479, _u478, _u480, _u481, _u482)), c_FuncSet_Oextensional(_u477, _u478, _u480))) )).
% 57.32/57.52 cnf(matrix-378, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u483), _u484), _u485)) | ( hAPP(c_FuncSet_Ocompose(_u483, _u486, _u487, _u485, _u488, _u489), _u484) = hAPP(_u488, hAPP(_u489, _u484))) )).
% 57.32/57.52 cnf(matrix-379, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u491)), _u492), c_FuncSet_Oextensional__funcset(_u490, _u491, _u493, _u494))) | ~hBOOL(hAPP(hAPP(c_member(_u490), _u495), _u493)) | hBOOL(hAPP(hAPP(c_member(_u491), hAPP(_u492, _u495)), _u494)) )).
% 57.32/57.52 cnf(matrix-380, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u496, _u496)), hAPP(hAPP(c_Product__Type_OPair(_u496, _u496), _u497), _u498)), c_Transitive__Closure_Ortrancl(_u496, _u499))) | ~hBOOL(hAPP(hAPP(c_member(_u496), _u498), c_Wellfounded_Oacc(_u496, _u499))) | hBOOL(hAPP(hAPP(c_member(_u496), _u497), c_Wellfounded_Oacc(_u496, _u499))) )).
% 57.32/57.52 cnf(matrix-381, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u500, _u500)), hAPP(hAPP(c_Product__Type_OPair(_u500, _u500), _u501), _u501)), c_Transitive__Closure_Ortrancl(_u500, _u502))) )).
% 57.32/57.52 cnf(matrix-382, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u503, _u503)), _u504), _u505)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u503, _u503)), _u504), c_Transitive__Closure_Ortrancl(_u503, _u505))) )).
% 57.32/57.52 cnf(matrix-383, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u506, _u506)), hAPP(hAPP(c_Product__Type_OPair(_u506, _u506), _u507), _u508)), c_Transitive__Closure_Ortrancl(_u506, _u509))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u506, _u506)), hAPP(hAPP(c_Product__Type_OPair(_u506, _u506), _u508), _u510)), c_Transitive__Closure_Ortrancl(_u506, _u509))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u506, _u506)), hAPP(hAPP(c_Product__Type_OPair(_u506, _u506), _u507), _u510)), c_Transitive__Closure_Ortrancl(_u506, _u509))) )).
% 57.32/57.52 cnf(matrix-384, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u511, _u511)), hAPP(hAPP(c_Product__Type_OPair(_u511, _u511), _u512), _u513)), c_Transitive__Closure_Ortrancl(_u511, _u514))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u511, _u511)), hAPP(hAPP(c_Product__Type_OPair(_u511, _u511), _u513), _u515)), _u514)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u511, _u511)), hAPP(hAPP(c_Product__Type_OPair(_u511, _u511), _u512), _u515)), c_Transitive__Closure_Ortrancl(_u511, _u514))) )).
% 57.32/57.52 cnf(matrix-385, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u516, _u516)), hAPP(hAPP(c_Product__Type_OPair(_u516, _u516), _u517), _u518)), _u519)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u516, _u516)), hAPP(hAPP(c_Product__Type_OPair(_u516, _u516), _u518), _u520)), c_Transitive__Closure_Ortrancl(_u516, _u519))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u516, _u516)), hAPP(hAPP(c_Product__Type_OPair(_u516, _u516), _u517), _u520)), c_Transitive__Closure_Ortrancl(_u516, _u519))) )).
% 57.32/57.52 cnf(matrix-386, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u521, _u522)), _u523), c_FuncSet_OPi(_u521, _u522, _u524, c_COMBK(tc_fun(_u522, tc_HOL_Obool), _u521, _u525)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u521, _u522)), _u523), c_FuncSet_Oextensional(_u521, _u522, _u524))) | ( c_FuncSet_Ocompose(_u521, _u521, _u522, _u524, _u523, c_FuncSet_Orestrict(_u521, _u521, c_COMBI(_u521), _u524)) = _u523) )).
% 57.32/57.52 cnf(matrix-387, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u526, _u527)), _u528), c_FuncSet_OPi(_u526, _u527, _u529, c_COMBK(tc_fun(_u527, tc_HOL_Obool), _u526, _u530)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u526, _u527)), _u528), c_FuncSet_Oextensional(_u526, _u527, _u529))) | ( c_FuncSet_Ocompose(_u526, _u527, _u527, _u529, c_FuncSet_Orestrict(_u527, _u527, c_COMBI(_u527), _u530), _u528) = _u528) )).
% 57.32/57.52 cnf(matrix-388, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u532, _u533)), _u534), c_FuncSet_Oextensional(_u532, _u533, _u535))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u532, _u533)), _u536), c_FuncSet_Oextensional(_u532, _u533, _u535))) | ( _u534 = _u536) | hBOOL(hAPP(hAPP(c_member(_u532), skolem37(_u536, _u535, _u534, _u533, _u532)), _u535)) )).
% 57.32/57.52 cnf(matrix-389, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u532, _u533)), _u534), c_FuncSet_Oextensional(_u532, _u533, _u535))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u532, _u533)), _u536), c_FuncSet_Oextensional(_u532, _u533, _u535))) | ( _u534 = _u536) | ( hAPP(_u534, skolem37(_u536, _u535, _u534, _u533, _u532)) != hAPP(_u536, skolem37(_u536, _u535, _u534, _u533, _u532))) )).
% 57.32/57.52 cnf(matrix-390, plain, ( ( c_FuncSet_Ocompose(_u537, _u538, _u539, _u540, _u541, _u542) = c_FuncSet_Orestrict(_u537, _u539, hAPP(c_COMBB(_u538, _u539, _u537, _u541), _u542), _u540)) )).
% 57.32/57.52 cnf(matrix-391, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u543, _u544)), c_FuncSet_Orestrict(_u543, _u544, _u545, _u546)), c_FuncSet_Oextensional(_u543, _u544, _u546))) )).
% 57.32/57.52 cnf(matrix-392, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u547, _u548)), _u549), c_FuncSet_Oextensional(_u547, _u548, _u550))) | ( c_FuncSet_Orestrict(_u547, _u548, _u549, _u550) = _u549) )).
% 57.32/57.52 cnf(matrix-393, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u556), _u558), _u560)) | ( hAPP(c_FuncSet_Orestrict(_u556, _u562, _u564, _u560), _u558) = hAPP(_u564, _u558)) )).
% 57.32/57.52 cnf(matrix-394, plain, ( hBOOL(hAPP(hAPP(c_member(_u557), _u559), _u561)) | ( hAPP(c_FuncSet_Orestrict(_u557, _u563, _u565, _u561), _u559) = c_HOL_Oundefined(_u563)) )).
% 57.32/57.52 cnf(matrix-395, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u571), _u573), _u575)) | ( hAPP(c_FuncSet_Orestrict(_u571, _u577, _u579, _u575), _u573) = hAPP(_u579, _u573)) )).
% 57.32/57.52 cnf(matrix-396, plain, ( hBOOL(hAPP(hAPP(c_member(_u572), _u574), _u576)) | ( hAPP(c_FuncSet_Orestrict(_u572, _u578, _u580, _u576), _u574) = c_HOL_Oundefined(_u578)) )).
% 57.32/57.52 cnf(matrix-397, plain, ( ( c_Transitive__Closure_Ortrancl(_u581, c_Transitive__Closure_Ortrancl(_u581, _u582)) = c_Transitive__Closure_Ortrancl(_u581, _u582)) )).
% 57.32/57.52 cnf(matrix-398, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u584, _u586)), c_FuncSet_Orestrict(_u584, _u586, _u587, _u585)), c_FuncSet_OPi(_u584, _u586, _u585, _u588))) | hBOOL(hAPP(hAPP(c_member(_u584), skolem38(_u588, _u587, _u586, _u585, _u584)), _u585)) )).
% 57.32/57.52 cnf(matrix-399, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u584, _u586)), c_FuncSet_Orestrict(_u584, _u586, _u587, _u585)), c_FuncSet_OPi(_u584, _u586, _u585, _u588))) | ~hBOOL(hAPP(hAPP(c_member(_u586), hAPP(_u587, skolem38(_u588, _u587, _u586, _u585, _u584))), hAPP(_u588, skolem38(_u588, _u587, _u586, _u585, _u584)))) )).
% 57.32/57.52 cnf(matrix-400, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u590, _u592)), c_FuncSet_Orestrict(_u590, _u592, _u593, _u591)), c_FuncSet_OPi(_u590, _u592, _u591, c_COMBK(tc_fun(_u592, tc_HOL_Obool), _u590, _u594)))) | hBOOL(hAPP(hAPP(c_member(_u590), skolem39(_u594, _u593, _u592, _u591, _u590)), _u591)) )).
% 57.32/57.52 cnf(matrix-401, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u590, _u592)), c_FuncSet_Orestrict(_u590, _u592, _u593, _u591)), c_FuncSet_OPi(_u590, _u592, _u591, c_COMBK(tc_fun(_u592, tc_HOL_Obool), _u590, _u594)))) | ~hBOOL(hAPP(hAPP(c_member(_u592), hAPP(_u593, skolem39(_u594, _u593, _u592, _u591, _u590))), _u594)) )).
% 57.32/57.52 cnf(matrix-402, plain, ( ~c_Relation_Osingle__valued(_u595, _u595, _u596) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u595, _u595)), hAPP(hAPP(c_Product__Type_OPair(_u595, _u595), _u597), _u598)), c_Transitive__Closure_Ortrancl(_u595, _u596))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u595, _u595)), hAPP(hAPP(c_Product__Type_OPair(_u595, _u595), _u597), _u599)), c_Transitive__Closure_Ortrancl(_u595, _u596))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u595, _u595)), hAPP(hAPP(c_Product__Type_OPair(_u595, _u595), _u598), _u599)), c_Transitive__Closure_Ortrancl(_u595, _u596))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u595, _u595)), hAPP(hAPP(c_Product__Type_OPair(_u595, _u595), _u599), _u598)), c_Transitive__Closure_Ortrancl(_u595, _u596))) )).
% 57.32/57.52 cnf(matrix-403, plain, ( hBOOL(hAPP(hAPP(c_member(_u600), _u601), c_Relation_ODomain(_u600, _u600, _u602))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u600, _u600)), hAPP(hAPP(c_Product__Type_OPair(_u600, _u600), _u601), _u603)), c_Transitive__Closure_Ortrancl(_u600, _u602))) | ( _u601 = _u603) )).
% 57.32/57.52 cnf(matrix-404, plain, ( hBOOL(hAPP(hAPP(c_member(_u600), _u601), c_Relation_ODomain(_u600, _u600, _u602))) | ( _u601 != _u603) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u600, _u600)), hAPP(hAPP(c_Product__Type_OPair(_u600, _u600), _u601), _u603)), c_Transitive__Closure_Ortrancl(_u600, _u602))) )).
% 57.32/57.52 cnf(matrix-405, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u606, _u607), tc_prod(_u606, _u607))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u606, _u607), tc_prod(_u606, _u607)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u608), _u609)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u610), _u611))), c_Transitive__Closure_Ortrancl(tc_prod(_u606, _u607), _u612))) | ( hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u608), _u609) = hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u610), _u611)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u606, _u607), tc_prod(_u606, _u607))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u606, _u607), tc_prod(_u606, _u607)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u608), _u609)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), skolem40(_u612, _u611, _u610, _u609, _u608, _u607, _u606)), skolem41(_u612, _u611, _u610, _u609, _u608, _u607, _u606)))), _u612)) )).
% 57.32/57.52 cnf(matrix-406, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u606, _u607), tc_prod(_u606, _u607))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u606, _u607), tc_prod(_u606, _u607)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u608), _u609)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u610), _u611))), c_Transitive__Closure_Ortrancl(tc_prod(_u606, _u607), _u612))) | ( hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u608), _u609) = hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u610), _u611)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u606, _u607), tc_prod(_u606, _u607))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u606, _u607), tc_prod(_u606, _u607)), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), skolem40(_u612, _u611, _u610, _u609, _u608, _u607, _u606)), skolem41(_u612, _u611, _u610, _u609, _u608, _u607, _u606))), hAPP(hAPP(c_Product__Type_OPair(_u606, _u607), _u610), _u611))), c_Transitive__Closure_Ortrancl(tc_prod(_u606, _u607), _u612))) )).
% 57.32/57.52 cnf(matrix-407, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u619), _u620)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u621), _u622))), c_Transitive__Closure_Ortrancl(tc_prod(_u617, _u618), _u623))) | ~hBOOL(hAPP(hAPP(_u624, _u621), _u622)) | hBOOL(hAPP(hAPP(_u624, _u619), _u620)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), skolem42(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)), skolem43(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617))), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), skolem44(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)), skolem45(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)))), _u623)) )).
% 57.32/57.52 cnf(matrix-408, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u619), _u620)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u621), _u622))), c_Transitive__Closure_Ortrancl(tc_prod(_u617, _u618), _u623))) | ~hBOOL(hAPP(hAPP(_u624, _u621), _u622)) | hBOOL(hAPP(hAPP(_u624, _u619), _u620)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), skolem44(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)), skolem45(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617))), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u621), _u622))), c_Transitive__Closure_Ortrancl(tc_prod(_u617, _u618), _u623))) )).
% 57.32/57.52 cnf(matrix-409, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u619), _u620)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u621), _u622))), c_Transitive__Closure_Ortrancl(tc_prod(_u617, _u618), _u623))) | ~hBOOL(hAPP(hAPP(_u624, _u621), _u622)) | hBOOL(hAPP(hAPP(_u624, _u619), _u620)) | hBOOL(hAPP(hAPP(_u624, skolem44(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)), skolem45(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617))) )).
% 57.32/57.52 cnf(matrix-410, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u617, _u618), tc_prod(_u617, _u618))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u617, _u618), tc_prod(_u617, _u618)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u619), _u620)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u618), _u621), _u622))), c_Transitive__Closure_Ortrancl(tc_prod(_u617, _u618), _u623))) | ~hBOOL(hAPP(hAPP(_u624, _u621), _u622)) | hBOOL(hAPP(hAPP(_u624, _u619), _u620)) | ~hBOOL(hAPP(hAPP(_u624, skolem42(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617)), skolem43(_u624, _u623, _u622, _u621, _u620, _u619, _u618, _u617))) )).
% 57.32/57.52 cnf(matrix-411, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u631), _u632)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u633), _u634))), c_Transitive__Closure_Ortrancl(tc_prod(_u629, _u630), _u635))) | ~hBOOL(hAPP(hAPP(_u636, _u631), _u632)) | hBOOL(hAPP(hAPP(_u636, _u633), _u634)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u631), _u632)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), skolem46(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)), skolem47(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)))), c_Transitive__Closure_Ortrancl(tc_prod(_u629, _u630), _u635))) )).
% 57.32/57.52 cnf(matrix-412, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u631), _u632)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u633), _u634))), c_Transitive__Closure_Ortrancl(tc_prod(_u629, _u630), _u635))) | ~hBOOL(hAPP(hAPP(_u636, _u631), _u632)) | hBOOL(hAPP(hAPP(_u636, _u633), _u634)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), skolem46(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)), skolem47(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629))), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), skolem48(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)), skolem49(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)))), _u635)) )).
% 57.32/57.52 cnf(matrix-413, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u631), _u632)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u633), _u634))), c_Transitive__Closure_Ortrancl(tc_prod(_u629, _u630), _u635))) | ~hBOOL(hAPP(hAPP(_u636, _u631), _u632)) | hBOOL(hAPP(hAPP(_u636, _u633), _u634)) | hBOOL(hAPP(hAPP(_u636, skolem46(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)), skolem47(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629))) )).
% 57.32/57.52 cnf(matrix-414, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u629, _u630), tc_prod(_u629, _u630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u629, _u630), tc_prod(_u629, _u630)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u631), _u632)), hAPP(hAPP(c_Product__Type_OPair(_u629, _u630), _u633), _u634))), c_Transitive__Closure_Ortrancl(tc_prod(_u629, _u630), _u635))) | ~hBOOL(hAPP(hAPP(_u636, _u631), _u632)) | hBOOL(hAPP(hAPP(_u636, _u633), _u634)) | ~hBOOL(hAPP(hAPP(_u636, skolem48(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629)), skolem49(_u636, _u635, _u634, _u633, _u632, _u631, _u630, _u629))) )).
% 57.32/57.52 cnf(matrix-415, plain, ( ( c_FuncSet_Oextensional__funcset(_u637, _u638, _u639, _u640) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u637, _u638), tc_HOL_Obool)), c_FuncSet_OPi(_u637, _u638, _u639, c_COMBK(tc_fun(_u638, tc_HOL_Obool), _u637, _u640))), c_FuncSet_Oextensional(_u637, _u638, _u639))) )).
% 57.32/57.52 cnf(matrix-416, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u641, tc_HOL_Obool)), _u642), _u643), _u644)) | hBOOL(hAPP(_u642, _u644)) )).
% 57.32/57.52 cnf(matrix-417, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u641, tc_HOL_Obool)), _u642), _u643), _u644)) | hBOOL(hAPP(_u643, _u644)) )).
% 57.32/57.52 cnf(matrix-418, plain, ( ~hBOOL(hAPP(_u645, _u646)) | ~hBOOL(hAPP(_u647, _u646)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u648, tc_HOL_Obool)), _u645), _u647), _u646)) )).
% 57.32/57.52 cnf(matrix-419, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u649), _u650), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u649, tc_HOL_Obool)), _u651), _u652))) | hBOOL(hAPP(hAPP(c_member(_u649), _u650), _u651)) )).
% 57.32/57.52 cnf(matrix-420, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u649), _u650), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u649, tc_HOL_Obool)), _u651), _u652))) | hBOOL(hAPP(hAPP(c_member(_u649), _u650), _u652)) )).
% 57.32/57.52 cnf(matrix-421, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u653), _u654), _u655)) | ~hBOOL(hAPP(hAPP(c_member(_u653), _u654), _u656)) | hBOOL(hAPP(hAPP(c_member(_u653), _u654), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u653, tc_HOL_Obool)), _u655), _u656))) )).
% 57.32/57.52 cnf(matrix-422, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u657, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u657, tc_HOL_Obool)), _u658), _u659)), _u660) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u657, tc_HOL_Obool)), _u658), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u657, tc_HOL_Obool)), _u659), _u660))) )).
% 57.32/57.52 cnf(matrix-423, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u661, tc_HOL_Obool)), _u662), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u661, tc_HOL_Obool)), _u663), _u664)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u661, tc_HOL_Obool)), _u663), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u661, tc_HOL_Obool)), _u662), _u664))) )).
% 57.32/57.52 cnf(matrix-424, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u665, tc_HOL_Obool)), _u666), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u665, tc_HOL_Obool)), _u666), _u667)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u665, tc_HOL_Obool)), _u666), _u667)) )).
% 57.32/57.52 cnf(matrix-425, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u668, tc_HOL_Obool)), _u669), _u670) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u668, tc_HOL_Obool)), _u670), _u669)) )).
% 57.32/57.52 cnf(matrix-426, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u671, tc_HOL_Obool)), _u672), _u672) = _u672) )).
% 57.32/57.52 cnf(matrix-427, plain, ( hBOOL(hAPP(_u675, _u676)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u673, tc_HOL_Obool)), _u674), _u675), _u676)) )).
% 57.32/57.52 cnf(matrix-428, plain, ( hBOOL(hAPP(_u678, _u680)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u677, tc_HOL_Obool)), _u678), _u679), _u680)) )).
% 57.32/57.52 cnf(matrix-429, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u681), _u682), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u681, tc_HOL_Obool)), _u683), _u684))) | hBOOL(hAPP(hAPP(c_member(_u681), _u682), _u684)) )).
% 57.32/57.52 cnf(matrix-430, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u685), _u686), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u685, tc_HOL_Obool)), _u687), _u688))) | hBOOL(hAPP(hAPP(c_member(_u685), _u686), _u687)) )).
% 57.32/57.52 cnf(matrix-431, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u693), _u695), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u693, tc_HOL_Obool)), _u697), _u699))) | hBOOL(hAPP(hAPP(c_member(_u693), _u695), _u697)) )).
% 57.32/57.52 cnf(matrix-432, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u693), _u695), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u693, tc_HOL_Obool)), _u697), _u699))) | hBOOL(hAPP(hAPP(c_member(_u693), _u695), _u699)) )).
% 57.32/57.52 cnf(matrix-433, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u694), _u696), _u698)) | ~hBOOL(hAPP(hAPP(c_member(_u694), _u696), _u700)) | hBOOL(hAPP(hAPP(c_member(_u694), _u696), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u694, tc_HOL_Obool)), _u698), _u700))) )).
% 57.32/57.52 cnf(matrix-434, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u705, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u705, tc_fun(_u705, tc_HOL_Obool), tc_HOL_Obool), c_member(_u705)), _u707)), hAPP(hAPP(c_COMBC(_u705, tc_fun(_u705, tc_HOL_Obool), tc_HOL_Obool), c_member(_u705)), _u709)), _u711)) | hBOOL(hAPP(hAPP(c_member(_u705), _u711), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u705, tc_HOL_Obool)), _u707), _u709))) )).
% 57.32/57.52 cnf(matrix-435, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u706), _u712), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u706, tc_HOL_Obool)), _u708), _u710))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u706, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u706, tc_fun(_u706, tc_HOL_Obool), tc_HOL_Obool), c_member(_u706)), _u708)), hAPP(hAPP(c_COMBC(_u706, tc_fun(_u706, tc_HOL_Obool), tc_HOL_Obool), c_member(_u706)), _u710)), _u712)) )).
% 57.32/57.52 cnf(matrix-436, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u713, _u714)), hAPP(hAPP(c_Product__Type_OPair(_u713, _u714), _u715), _u716)), _u717)) | hBOOL(hAPP(hAPP(c_member(_u713), _u715), c_Relation_ODomain(_u713, _u714, _u717))) )).
% 57.32/57.52 cnf(matrix-437, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u724), _u726), c_Relation_ODomain(_u724, _u728, _u730))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u724, _u728)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u728), _u726), skolem50(_u730, _u728, _u726, _u724))), _u730)) )).
% 57.32/57.52 cnf(matrix-438, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u725, _u729)), hAPP(hAPP(c_Product__Type_OPair(_u725, _u729), _u727), _u719)), _u731)) | hBOOL(hAPP(hAPP(c_member(_u725), _u727), c_Relation_ODomain(_u725, _u729, _u731))) )).
% 57.32/57.52 cnf(matrix-439, plain, ( ~c_Relation_Osingle__valued(_u732, _u733, _u734) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u732, _u733)), hAPP(hAPP(c_Product__Type_OPair(_u732, _u733), _u735), _u736)), _u734)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u732, _u733)), hAPP(hAPP(c_Product__Type_OPair(_u732, _u733), _u735), _u737)), _u734)) | ( _u736 = _u737) )).
% 57.32/57.52 cnf(matrix-440, plain, ( ~c_Relation_Osingle__valued(_u747, _u749, _u751) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u747, _u749)), hAPP(hAPP(c_Product__Type_OPair(_u747, _u749), _u740), _u739)), _u751)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u747, _u749)), hAPP(hAPP(c_Product__Type_OPair(_u747, _u749), _u740), _u738)), _u751)) | ( _u739 = _u738) )).
% 57.32/57.52 cnf(matrix-441, plain, ( c_Relation_Osingle__valued(_u748, _u750, _u752) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u748, _u750)), hAPP(hAPP(c_Product__Type_OPair(_u748, _u750), skolem51(_u752, _u750, _u748)), skolem52(_u752, _u750, _u748))), _u752)) )).
% 57.32/57.52 cnf(matrix-442, plain, ( c_Relation_Osingle__valued(_u748, _u750, _u752) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u748, _u750)), hAPP(hAPP(c_Product__Type_OPair(_u748, _u750), skolem51(_u752, _u750, _u748)), skolem53(_u752, _u750, _u748))), _u752)) )).
% 57.32/57.52 cnf(matrix-443, plain, ( c_Relation_Osingle__valued(_u748, _u750, _u752) | ( skolem52(_u752, _u750, _u748) != skolem53(_u752, _u750, _u748)) )).
% 57.32/57.52 cnf(matrix-444, plain, ( ~c_Predicate_ODomainP(_u757, _u759, hAPP(hAPP(c_COMBC(_u757, tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_fun(_u759, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u759, tc_fun(tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_fun(_u759, tc_HOL_Obool)), _u757, c_COMBC(_u759, tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u759, tc_prod(_u757, _u759)), tc_fun(_u759, tc_fun(tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_HOL_Obool)), _u757, c_COMBB(tc_prod(_u757, _u759), tc_fun(tc_fun(tc_prod(_u757, _u759), tc_HOL_Obool), tc_HOL_Obool), _u759, c_member(tc_prod(_u757, _u759)))), c_Product__Type_OPair(_u757, _u759)))), _u761), _u763) | hBOOL(hAPP(hAPP(c_member(_u757), _u763), c_Relation_ODomain(_u757, _u759, _u761))) )).
% 57.32/57.52 cnf(matrix-445, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u758), _u764), c_Relation_ODomain(_u758, _u760, _u762))) | c_Predicate_ODomainP(_u758, _u760, hAPP(hAPP(c_COMBC(_u758, tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_fun(_u760, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u760, tc_fun(tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_fun(_u760, tc_HOL_Obool)), _u758, c_COMBC(_u760, tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u760, tc_prod(_u758, _u760)), tc_fun(_u760, tc_fun(tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_HOL_Obool)), _u758, c_COMBB(tc_prod(_u758, _u760), tc_fun(tc_fun(tc_prod(_u758, _u760), tc_HOL_Obool), tc_HOL_Obool), _u760, c_member(tc_prod(_u758, _u760)))), c_Product__Type_OPair(_u758, _u760)))), _u762), _u764) )).
% 57.32/57.52 cnf(matrix-446, plain, ( ~class_Lattices_Olattice(_u765) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u766, _u765)), _u767), _u768), _u769) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u765), hAPP(_u767, _u769)), hAPP(_u768, _u769))) )).
% 57.32/57.52 cnf(matrix-447, plain, ( ~class_Lattices_Olattice(_u770) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u771, _u770)), _u772), _u773), _u774) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u770), hAPP(_u772, _u774)), hAPP(_u773, _u774))) )).
% 57.32/57.52 cnf(matrix-448, plain, ( ~hBOOL(hAPP(hAPP(_u775, _u776), _u777)) | c_Predicate_ODomainP(_u778, _u779, _u775, _u776) )).
% 57.32/57.52 cnf(matrix-449, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u786, tc_fun(_u788, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u786, tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_fun(_u788, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u788, tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_fun(_u788, tc_HOL_Obool)), _u786, c_COMBC(_u788, tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u788, tc_prod(_u786, _u788)), tc_fun(_u788, tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), _u786, c_COMBB(tc_prod(_u786, _u788), tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool), _u788, c_member(tc_prod(_u786, _u788)))), c_Product__Type_OPair(_u786, _u788)))), _u790)), hAPP(hAPP(c_COMBC(_u786, tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_fun(_u788, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u788, tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_fun(_u788, tc_HOL_Obool)), _u786, c_COMBC(_u788, tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u788, tc_prod(_u786, _u788)), tc_fun(_u788, tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool)), _u786, c_COMBB(tc_prod(_u786, _u788), tc_fun(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool), tc_HOL_Obool), _u788, c_member(tc_prod(_u786, _u788)))), c_Product__Type_OPair(_u786, _u788)))), _u792)), _u794), _u796)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u786, _u788)), hAPP(hAPP(c_Product__Type_OPair(_u786, _u788), _u794), _u796)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u786, _u788), tc_HOL_Obool)), _u790), _u792))) )).
% 57.32/57.52 cnf(matrix-450, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u787, _u789)), hAPP(hAPP(c_Product__Type_OPair(_u787, _u789), _u795), _u797)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool)), _u791), _u793))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u787, tc_fun(_u789, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u787, tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_fun(_u789, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u789, tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_fun(_u789, tc_HOL_Obool)), _u787, c_COMBC(_u789, tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u789, tc_prod(_u787, _u789)), tc_fun(_u789, tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), _u787, c_COMBB(tc_prod(_u787, _u789), tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool), _u789, c_member(tc_prod(_u787, _u789)))), c_Product__Type_OPair(_u787, _u789)))), _u791)), hAPP(hAPP(c_COMBC(_u787, tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_fun(_u789, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u789, tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_fun(_u789, tc_HOL_Obool)), _u787, c_COMBC(_u789, tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u789, tc_prod(_u787, _u789)), tc_fun(_u789, tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool)), _u787, c_COMBB(tc_prod(_u787, _u789), tc_fun(tc_fun(tc_prod(_u787, _u789), tc_HOL_Obool), tc_HOL_Obool), _u789, c_member(tc_prod(_u787, _u789)))), c_Product__Type_OPair(_u787, _u789)))), _u793)), _u795), _u797)) )).
% 57.32/57.52 cnf(matrix-451, plain, ( ~class_Lattices_Osemilattice__inf(_u798) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u798), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u798), _u799), _u800)), _u801) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u798), _u799), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u798), _u800), _u801))) )).
% 57.32/57.52 cnf(matrix-452, plain, ( ~class_Lattices_Olattice(_u802) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u802), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u802), _u803), _u804)), _u805) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u802), _u803), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u802), _u804), _u805))) )).
% 57.32/57.52 cnf(matrix-453, plain, ( ~class_Lattices_Osemilattice__inf(_u806) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u806), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u806), _u807), _u808)), _u809) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u806), _u807), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u806), _u808), _u809))) )).
% 57.32/57.52 cnf(matrix-454, plain, ( ~class_Lattices_Osemilattice__inf(_u810) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u810), _u811), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u810), _u812), _u813)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u810), _u812), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u810), _u811), _u813))) )).
% 57.32/57.52 cnf(matrix-455, plain, ( ~class_Lattices_Olattice(_u814) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u814), _u815), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u814), _u816), _u817)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u814), _u816), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u814), _u815), _u817))) )).
% 57.32/57.52 cnf(matrix-456, plain, ( ~class_Lattices_Osemilattice__inf(_u818) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u818), _u819), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u818), _u820), _u821)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u818), _u820), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u818), _u819), _u821))) )).
% 57.32/57.52 cnf(matrix-457, plain, ( ~class_Lattices_Osemilattice__inf(_u822) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u822), _u823), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u822), _u823), _u824)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u822), _u823), _u824)) )).
% 57.32/57.52 cnf(matrix-458, plain, ( ~class_Lattices_Olattice(_u825) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u825), _u826), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u825), _u826), _u827)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u825), _u826), _u827)) )).
% 57.32/57.52 cnf(matrix-459, plain, ( ~class_Lattices_Osemilattice__inf(_u828) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u828), _u829), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u828), _u829), _u830)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u828), _u829), _u830)) )).
% 57.32/57.52 cnf(matrix-460, plain, ( ~class_Lattices_Osemilattice__inf(_u831) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u831), _u832), _u833) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u831), _u833), _u832)) )).
% 57.32/57.52 cnf(matrix-461, plain, ( ~class_Lattices_Olattice(_u834) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u834), _u835), _u836) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u834), _u836), _u835)) )).
% 57.32/57.52 cnf(matrix-462, plain, ( ~class_Lattices_Osemilattice__inf(_u837) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u837), _u838), _u839) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u837), _u839), _u838)) )).
% 57.32/57.52 cnf(matrix-463, plain, ( ~class_Lattices_Osemilattice__inf(_u840) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u840), _u841), _u841) = _u841) )).
% 57.32/57.52 cnf(matrix-464, plain, ( ~class_Lattices_Osemilattice__inf(_u842) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u842), _u843), _u843) = _u843) )).
% 57.32/57.52 cnf(matrix-465, plain, ( ~c_Relation_Oirrefl(_u848, _u850) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u848, _u848)), hAPP(hAPP(c_Product__Type_OPair(_u848, _u848), _u844), _u844)), _u850)) )).
% 57.32/57.52 cnf(matrix-466, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u849, _u849)), hAPP(hAPP(c_Product__Type_OPair(_u849, _u849), skolem54(_u851, _u849)), skolem54(_u851, _u849))), _u851)) | c_Relation_Oirrefl(_u849, _u851) )).
% 57.32/57.52 cnf(matrix-467, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u853), _u854), c_Relation_ODomain(_u853, _u855, _u856))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u853, _u855)), hAPP(hAPP(c_Product__Type_OPair(_u853, _u855), _u854), skolem55(_u856, _u855, _u854, _u853))), _u856)) )).
% 57.32/57.52 cnf(matrix-468, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u857, _u858)), hAPP(hAPP(c_Product__Type_OPair(_u857, _u858), _u859), _u860)), _u861)) | hBOOL(hAPP(hAPP(c_member(_u858), _u860), c_Relation_ORange(_u857, _u858, _u861))) )).
% 57.32/57.52 cnf(matrix-469, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u866, _u866)), hAPP(hAPP(c_Product__Type_OPair(_u866, _u866), _u868), _u870)), c_Relation_OId__on(_u866, _u872))) | ( _u868 = _u870) )).
% 57.32/57.52 cnf(matrix-470, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u866, _u866)), hAPP(hAPP(c_Product__Type_OPair(_u866, _u866), _u868), _u870)), c_Relation_OId__on(_u866, _u872))) | hBOOL(hAPP(hAPP(c_member(_u866), _u868), _u872)) )).
% 57.32/57.52 cnf(matrix-471, plain, ( ( _u869 != _u871) | ~hBOOL(hAPP(hAPP(c_member(_u867), _u869), _u873)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u867, _u867)), hAPP(hAPP(c_Product__Type_OPair(_u867, _u867), _u869), _u871)), c_Relation_OId__on(_u867, _u873))) )).
% 57.32/57.52 cnf(matrix-472, plain, ( ( _u874 != _u875) | ~hBOOL(hAPP(hAPP(c_member(_u876), _u874), _u877)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u876, _u876)), hAPP(hAPP(c_Product__Type_OPair(_u876, _u876), _u874), _u875)), c_Relation_OId__on(_u876, _u877))) )).
% 57.32/57.52 cnf(matrix-473, plain, ( c_Relation_Osingle__valued(_u881, _u882, _u883) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u881, _u882)), hAPP(hAPP(c_Product__Type_OPair(_u881, _u882), skolem56(_u883, _u882, _u881)), skolem57(_u883, _u882, _u881))), _u883)) )).
% 57.32/57.52 cnf(matrix-474, plain, ( c_Relation_Osingle__valued(_u881, _u882, _u883) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u881, _u882)), hAPP(hAPP(c_Product__Type_OPair(_u881, _u882), skolem56(_u883, _u882, _u881)), skolem58(_u883, _u882, _u881))), _u883)) )).
% 57.32/57.52 cnf(matrix-475, plain, ( c_Relation_Osingle__valued(_u881, _u882, _u883) | ( skolem57(_u883, _u882, _u881) != skolem58(_u883, _u882, _u881)) )).
% 57.32/57.52 cnf(matrix-476, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), _u887), _u888)), c_Transitive__Closure_Ortrancl(_u886, _u889))) | ~hBOOL(hAPP(_u890, _u887)) | hBOOL(hAPP(_u890, _u888)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), _u887), skolem59(_u890, _u889, _u888, _u887, _u886))), c_Transitive__Closure_Ortrancl(_u886, _u889))) )).
% 57.32/57.52 cnf(matrix-477, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), _u887), _u888)), c_Transitive__Closure_Ortrancl(_u886, _u889))) | ~hBOOL(hAPP(_u890, _u887)) | hBOOL(hAPP(_u890, _u888)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), skolem59(_u890, _u889, _u888, _u887, _u886)), skolem60(_u890, _u889, _u888, _u887, _u886))), _u889)) )).
% 57.32/57.52 cnf(matrix-478, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), _u887), _u888)), c_Transitive__Closure_Ortrancl(_u886, _u889))) | ~hBOOL(hAPP(_u890, _u887)) | hBOOL(hAPP(_u890, _u888)) | hBOOL(hAPP(_u890, skolem59(_u890, _u889, _u888, _u887, _u886))) )).
% 57.32/57.52 cnf(matrix-479, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u886, _u886)), hAPP(hAPP(c_Product__Type_OPair(_u886, _u886), _u887), _u888)), c_Transitive__Closure_Ortrancl(_u886, _u889))) | ~hBOOL(hAPP(_u890, _u887)) | hBOOL(hAPP(_u890, _u888)) | ~hBOOL(hAPP(_u890, skolem60(_u890, _u889, _u888, _u887, _u886))) )).
% 57.32/57.52 cnf(matrix-480, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u891, tc_fun(_u892, tc_HOL_Obool))), _u893), _u894), _u895), _u896)) | hBOOL(hAPP(hAPP(_u893, _u895), _u896)) )).
% 57.32/57.52 cnf(matrix-481, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u891, tc_fun(_u892, tc_HOL_Obool))), _u893), _u894), _u895), _u896)) | hBOOL(hAPP(hAPP(_u894, _u895), _u896)) )).
% 57.32/57.52 cnf(matrix-482, plain, ( ~hBOOL(hAPP(hAPP(_u897, _u898), _u899)) | ~hBOOL(hAPP(hAPP(_u900, _u898), _u899)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u901, tc_fun(_u902, tc_HOL_Obool))), _u897), _u900), _u898), _u899)) )).
% 57.32/57.52 cnf(matrix-483, plain, ( hBOOL(hAPP(hAPP(_u906, _u907), _u908)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u903, tc_fun(_u904, tc_HOL_Obool))), _u905), _u906), _u907), _u908)) )).
% 57.32/57.52 cnf(matrix-484, plain, ( hBOOL(hAPP(hAPP(_u911, _u913), _u914)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u909, tc_fun(_u910, tc_HOL_Obool))), _u911), _u912), _u913), _u914)) )).
% 57.32/57.52 cnf(matrix-485, plain, ( ( c_Relation_ORange(_u915, _u915, c_Relation_OId__on(_u915, _u916)) = _u916) )).
% 57.32/57.52 cnf(matrix-486, plain, ( ( c_Relation_ODomain(_u917, _u917, c_Relation_OId__on(_u917, _u918)) = _u918) )).
% 57.32/57.52 cnf(matrix-487, plain, ( c_Relation_Osingle__valued(_u919, _u919, c_Relation_OId__on(_u919, _u920)) )).
% 57.32/57.52 cnf(matrix-488, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u927), _u929), c_Relation_ORange(_u931, _u927, _u933))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u931, _u927)), hAPP(hAPP(c_Product__Type_OPair(_u931, _u927), skolem61(_u933, _u931, _u929, _u927)), _u929)), _u933)) )).
% 57.32/57.52 cnf(matrix-489, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u932, _u928)), hAPP(hAPP(c_Product__Type_OPair(_u932, _u928), _u922), _u930)), _u934)) | hBOOL(hAPP(hAPP(c_member(_u928), _u930), c_Relation_ORange(_u932, _u928, _u934))) )).
% 57.32/57.52 cnf(matrix-490, plain, ( ~c_Predicate_ORangeP(_u939, _u941, hAPP(hAPP(c_COMBC(_u939, tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_fun(_u941, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u941, tc_fun(tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_fun(_u941, tc_HOL_Obool)), _u939, c_COMBC(_u941, tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u941, tc_prod(_u939, _u941)), tc_fun(_u941, tc_fun(tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_HOL_Obool)), _u939, c_COMBB(tc_prod(_u939, _u941), tc_fun(tc_fun(tc_prod(_u939, _u941), tc_HOL_Obool), tc_HOL_Obool), _u941, c_member(tc_prod(_u939, _u941)))), c_Product__Type_OPair(_u939, _u941)))), _u943), _u945) | hBOOL(hAPP(hAPP(c_member(_u941), _u945), c_Relation_ORange(_u939, _u941, _u943))) )).
% 57.32/57.52 cnf(matrix-491, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u942), _u946), c_Relation_ORange(_u940, _u942, _u944))) | c_Predicate_ORangeP(_u940, _u942, hAPP(hAPP(c_COMBC(_u940, tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_fun(_u942, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u942, tc_fun(tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_fun(_u942, tc_HOL_Obool)), _u940, c_COMBC(_u942, tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u942, tc_prod(_u940, _u942)), tc_fun(_u942, tc_fun(tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_HOL_Obool)), _u940, c_COMBB(tc_prod(_u940, _u942), tc_fun(tc_fun(tc_prod(_u940, _u942), tc_HOL_Obool), tc_HOL_Obool), _u942, c_member(tc_prod(_u940, _u942)))), c_Product__Type_OPair(_u940, _u942)))), _u944), _u946) )).
% 57.32/57.52 cnf(matrix-492, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u948, _u948)), _u949), c_Relation_OId__on(_u948, _u950))) | hBOOL(hAPP(hAPP(c_member(_u948), skolem62(_u950, _u949, _u948)), _u950)) )).
% 57.32/57.52 cnf(matrix-493, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u948, _u948)), _u949), c_Relation_OId__on(_u948, _u950))) | ( _u949 = hAPP(hAPP(c_Product__Type_OPair(_u948, _u948), skolem62(_u950, _u949, _u948)), skolem62(_u950, _u949, _u948))) )).
% 57.32/57.52 cnf(matrix-494, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u952), _u953), c_Relation_ORange(_u954, _u952, _u955))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u954, _u952)), hAPP(hAPP(c_Product__Type_OPair(_u954, _u952), skolem63(_u955, _u954, _u953, _u952)), _u953)), _u955)) )).
% 57.32/57.52 cnf(matrix-495, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u957, _u957)), hAPP(hAPP(c_Product__Type_OPair(_u957, _u957), _u958), _u959)), c_Transitive__Closure_Ortrancl(_u957, _u960))) | ( _u958 = _u959) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u957, _u957)), hAPP(hAPP(c_Product__Type_OPair(_u957, _u957), _u958), skolem64(_u960, _u959, _u958, _u957))), c_Transitive__Closure_Ortrancl(_u957, _u960))) )).
% 57.32/57.52 cnf(matrix-496, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u957, _u957)), hAPP(hAPP(c_Product__Type_OPair(_u957, _u957), _u958), _u959)), c_Transitive__Closure_Ortrancl(_u957, _u960))) | ( _u958 = _u959) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u957, _u957)), hAPP(hAPP(c_Product__Type_OPair(_u957, _u957), skolem64(_u960, _u959, _u958, _u957)), _u959)), _u960)) )).
% 57.32/57.52 cnf(matrix-497, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u962, _u962)), hAPP(hAPP(c_Product__Type_OPair(_u962, _u962), _u963), _u964)), c_Transitive__Closure_Ortrancl(_u962, _u965))) | ( _u963 = _u964) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u962, _u962)), hAPP(hAPP(c_Product__Type_OPair(_u962, _u962), _u963), skolem65(_u965, _u964, _u963, _u962))), _u965)) )).
% 57.32/57.52 cnf(matrix-498, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u962, _u962)), hAPP(hAPP(c_Product__Type_OPair(_u962, _u962), _u963), _u964)), c_Transitive__Closure_Ortrancl(_u962, _u965))) | ( _u963 = _u964) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u962, _u962)), hAPP(hAPP(c_Product__Type_OPair(_u962, _u962), skolem65(_u965, _u964, _u963, _u962)), _u964)), c_Transitive__Closure_Ortrancl(_u962, _u965))) )).
% 57.32/57.52 cnf(matrix-499, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), _u969), _u970)), c_Transitive__Closure_Ortrancl(_u968, _u971))) | ~hBOOL(hAPP(_u972, _u970)) | hBOOL(hAPP(_u972, _u969)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), skolem66(_u972, _u971, _u970, _u969, _u968)), skolem67(_u972, _u971, _u970, _u969, _u968))), _u971)) )).
% 57.32/57.52 cnf(matrix-500, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), _u969), _u970)), c_Transitive__Closure_Ortrancl(_u968, _u971))) | ~hBOOL(hAPP(_u972, _u970)) | hBOOL(hAPP(_u972, _u969)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), skolem67(_u972, _u971, _u970, _u969, _u968)), _u970)), c_Transitive__Closure_Ortrancl(_u968, _u971))) )).
% 57.32/57.52 cnf(matrix-501, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), _u969), _u970)), c_Transitive__Closure_Ortrancl(_u968, _u971))) | ~hBOOL(hAPP(_u972, _u970)) | hBOOL(hAPP(_u972, _u969)) | hBOOL(hAPP(_u972, skolem67(_u972, _u971, _u970, _u969, _u968))) )).
% 57.32/57.52 cnf(matrix-502, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u968, _u968)), hAPP(hAPP(c_Product__Type_OPair(_u968, _u968), _u969), _u970)), c_Transitive__Closure_Ortrancl(_u968, _u971))) | ~hBOOL(hAPP(_u972, _u970)) | hBOOL(hAPP(_u972, _u969)) | ~hBOOL(hAPP(_u972, skolem66(_u972, _u971, _u970, _u969, _u968))) )).
% 57.32/57.52 cnf(matrix-503, plain, ( ~hBOOL(hAPP(hAPP(_u973, _u974), _u975)) | c_Predicate_ORangeP(_u976, _u977, _u973, _u975) )).
% 57.32/57.52 cnf(matrix-504, plain, ( hBOOL(hAPP(hAPP(_u988, skolem68(_u990, _u988)), _u990)) | ~c_Predicate_ORangeP(_u984, _u986, _u988, _u990) )).
% 57.32/57.52 cnf(matrix-505, plain, ( ~hBOOL(hAPP(hAPP(_u989, _u979), _u991)) | c_Predicate_ORangeP(_u985, _u987, _u989, _u991) )).
% 57.32/57.52 cnf(matrix-506, plain, ( ~c_Relation_Ototal__on(_u999, _u1001, _u1003) | ~hBOOL(hAPP(hAPP(c_member(_u999), _u993), _u1001)) | ~hBOOL(hAPP(hAPP(c_member(_u999), _u992), _u1001)) | ( _u993 = _u992) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u999, _u999)), hAPP(hAPP(c_Product__Type_OPair(_u999, _u999), _u993), _u992)), _u1003)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u999, _u999)), hAPP(hAPP(c_Product__Type_OPair(_u999, _u999), _u992), _u993)), _u1003)) )).
% 57.32/57.52 cnf(matrix-507, plain, ( c_Relation_Ototal__on(_u1000, _u1002, _u1004) | hBOOL(hAPP(hAPP(c_member(_u1000), skolem69(_u1004, _u1002, _u1000)), _u1002)) )).
% 57.32/57.52 cnf(matrix-508, plain, ( c_Relation_Ototal__on(_u1000, _u1002, _u1004) | hBOOL(hAPP(hAPP(c_member(_u1000), skolem70(_u1004, _u1002, _u1000)), _u1002)) )).
% 57.32/57.52 cnf(matrix-509, plain, ( c_Relation_Ototal__on(_u1000, _u1002, _u1004) | ( skolem69(_u1004, _u1002, _u1000) != skolem70(_u1004, _u1002, _u1000)) )).
% 57.32/57.52 cnf(matrix-510, plain, ( c_Relation_Ototal__on(_u1000, _u1002, _u1004) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1000, _u1000)), hAPP(hAPP(c_Product__Type_OPair(_u1000, _u1000), skolem69(_u1004, _u1002, _u1000)), skolem70(_u1004, _u1002, _u1000))), _u1004)) )).
% 57.32/57.52 cnf(matrix-511, plain, ( c_Relation_Ototal__on(_u1000, _u1002, _u1004) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1000, _u1000)), hAPP(hAPP(c_Product__Type_OPair(_u1000, _u1000), skolem70(_u1004, _u1002, _u1000)), skolem69(_u1004, _u1002, _u1000))), _u1004)) )).
% 57.32/57.52 cnf(matrix-512, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1017, _u1017)), hAPP(hAPP(c_Product__Type_OPair(_u1017, _u1017), hAPP(_u1021, _u1013)), hAPP(_u1021, _u1015))), _u1019)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1011, _u1011)), hAPP(hAPP(c_Product__Type_OPair(_u1011, _u1011), _u1013), _u1015)), c_Relation_Oinv__image(_u1017, _u1011, _u1019, _u1021))) )).
% 57.32/57.52 cnf(matrix-513, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1018, _u1018)), hAPP(hAPP(c_Product__Type_OPair(_u1018, _u1018), hAPP(_u1022, _u1014)), hAPP(_u1022, _u1016))), _u1020)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1012, _u1012)), hAPP(hAPP(c_Product__Type_OPair(_u1012, _u1012), _u1014), _u1016)), c_Relation_Oinv__image(_u1018, _u1012, _u1020, _u1022))) )).
% 57.32/57.52 cnf(matrix-514, plain, ( ~c_Relation_Orefl__on(_u1023, _u1024, _u1025) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1023, _u1023)), hAPP(hAPP(c_Product__Type_OPair(_u1023, _u1023), _u1026), _u1027)), _u1025)) | hBOOL(hAPP(hAPP(c_member(_u1023), _u1026), _u1024)) )).
% 57.32/57.52 cnf(matrix-515, plain, ( ~c_Relation_Orefl__on(_u1028, _u1029, _u1030) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1028, _u1028)), hAPP(hAPP(c_Product__Type_OPair(_u1028, _u1028), _u1031), _u1032)), _u1030)) | hBOOL(hAPP(hAPP(c_member(_u1028), _u1032), _u1029)) )).
% 57.32/57.52 cnf(matrix-516, plain, ( ~c_Relation_Orefl__on(_u1033, _u1034, _u1035) | ~hBOOL(hAPP(hAPP(c_member(_u1033), _u1036), _u1034)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1033, _u1033)), hAPP(hAPP(c_Product__Type_OPair(_u1033, _u1033), _u1036), _u1036)), _u1035)) )).
% 57.32/57.52 cnf(matrix-517, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1037, _u1037)), hAPP(hAPP(c_Product__Type_OPair(_u1037, _u1037), _u1038), _u1039)), c_Transitive__Closure_Otrancl(_u1037, _u1040))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1037, _u1037)), hAPP(hAPP(c_Product__Type_OPair(_u1037, _u1037), _u1038), _u1039)), c_Transitive__Closure_Ortrancl(_u1037, _u1040))) )).
% 57.32/57.52 cnf(matrix-518, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1041, _u1041)), hAPP(hAPP(c_Product__Type_OPair(_u1041, _u1041), _u1042), _u1043)), _u1044)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1041, _u1041)), hAPP(hAPP(c_Product__Type_OPair(_u1041, _u1041), _u1042), _u1043)), c_Transitive__Closure_Otrancl(_u1041, _u1044))) )).
% 57.32/57.52 cnf(matrix-519, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1045, _u1045)), _u1046), _u1047)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1045, _u1045)), _u1046), c_Transitive__Closure_Otrancl(_u1045, _u1047))) )).
% 57.32/57.52 cnf(matrix-520, plain, ( ( c_Transitive__Closure_Ortrancl(_u1048, c_Transitive__Closure_Otrancl(_u1048, _u1049)) = c_Transitive__Closure_Ortrancl(_u1048, _u1049)) )).
% 57.32/57.52 cnf(matrix-521, plain, ( ( c_Transitive__Closure_Otrancl(_u1050, c_Transitive__Closure_Ortrancl(_u1050, _u1051)) = c_Transitive__Closure_Ortrancl(_u1050, _u1051)) )).
% 57.32/57.52 cnf(matrix-522, plain, ( ( c_Relation_ODomain(_u1052, _u1052, c_Transitive__Closure_Otrancl(_u1052, _u1053)) = c_Relation_ODomain(_u1052, _u1052, _u1053)) )).
% 57.32/57.52 cnf(matrix-523, plain, ( ( c_Relation_ORange(_u1054, _u1054, c_Transitive__Closure_Otrancl(_u1054, _u1055)) = c_Relation_ORange(_u1054, _u1054, _u1055)) )).
% 57.32/57.52 cnf(matrix-524, plain, ( c_Relation_Orefl__on(_u1056, _u1057, c_Relation_OId__on(_u1056, _u1057)) )).
% 57.32/57.52 cnf(matrix-525, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1058, _u1058)), hAPP(hAPP(c_Product__Type_OPair(_u1058, _u1058), _u1059), _u1060)), c_Transitive__Closure_Otrancl(_u1058, _u1061))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1058, _u1058)), hAPP(hAPP(c_Product__Type_OPair(_u1058, _u1058), _u1060), _u1062)), c_Transitive__Closure_Otrancl(_u1058, _u1061))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1058, _u1058)), hAPP(hAPP(c_Product__Type_OPair(_u1058, _u1058), _u1059), _u1062)), c_Transitive__Closure_Otrancl(_u1058, _u1061))) )).
% 57.32/57.52 cnf(matrix-526, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1063, _u1063)), hAPP(hAPP(c_Product__Type_OPair(_u1063, _u1063), _u1064), _u1065)), c_Transitive__Closure_Otrancl(_u1063, _u1066))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1063, _u1063)), hAPP(hAPP(c_Product__Type_OPair(_u1063, _u1063), _u1065), _u1067)), _u1066)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1063, _u1063)), hAPP(hAPP(c_Product__Type_OPair(_u1063, _u1063), _u1064), _u1067)), c_Transitive__Closure_Otrancl(_u1063, _u1066))) )).
% 57.32/57.52 cnf(matrix-527, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1068, _u1068)), hAPP(hAPP(c_Product__Type_OPair(_u1068, _u1068), _u1069), _u1070)), _u1071)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1068, _u1068)), hAPP(hAPP(c_Product__Type_OPair(_u1068, _u1068), _u1070), _u1072)), c_Transitive__Closure_Otrancl(_u1068, _u1071))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1068, _u1068)), hAPP(hAPP(c_Product__Type_OPair(_u1068, _u1068), _u1069), _u1072)), c_Transitive__Closure_Otrancl(_u1068, _u1071))) )).
% 57.32/57.52 cnf(matrix-528, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1073, _u1073)), hAPP(hAPP(c_Product__Type_OPair(_u1073, _u1073), _u1074), _u1075)), _u1076)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1073, _u1073)), hAPP(hAPP(c_Product__Type_OPair(_u1073, _u1073), _u1075), _u1077)), _u1076)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1073, _u1073)), hAPP(hAPP(c_Product__Type_OPair(_u1073, _u1073), _u1074), _u1077)), c_Transitive__Closure_Otrancl(_u1073, _u1076))) )).
% 57.32/57.52 cnf(matrix-529, plain, ( ~c_Relation_Orefl__on(_u1078, _u1079, _u1080) | ~c_Relation_Orefl__on(_u1078, _u1081, _u1082) | c_Relation_Orefl__on(_u1078, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1078, tc_HOL_Obool)), _u1079), _u1081), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1078, _u1078), tc_HOL_Obool)), _u1080), _u1082)) )).
% 57.32/57.52 cnf(matrix-530, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1083, _u1083)), hAPP(hAPP(c_Product__Type_OPair(_u1083, _u1083), _u1084), _u1085)), c_Transitive__Closure_Ortrancl(_u1083, _u1086))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1083, _u1083)), hAPP(hAPP(c_Product__Type_OPair(_u1083, _u1083), _u1085), _u1087)), c_Transitive__Closure_Otrancl(_u1083, _u1086))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1083, _u1083)), hAPP(hAPP(c_Product__Type_OPair(_u1083, _u1083), _u1084), _u1087)), c_Transitive__Closure_Otrancl(_u1083, _u1086))) )).
% 57.32/57.52 cnf(matrix-531, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1088, _u1088)), hAPP(hAPP(c_Product__Type_OPair(_u1088, _u1088), _u1089), _u1090)), c_Transitive__Closure_Otrancl(_u1088, _u1091))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1088, _u1088)), hAPP(hAPP(c_Product__Type_OPair(_u1088, _u1088), _u1090), _u1092)), c_Transitive__Closure_Ortrancl(_u1088, _u1091))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1088, _u1088)), hAPP(hAPP(c_Product__Type_OPair(_u1088, _u1088), _u1089), _u1092)), c_Transitive__Closure_Otrancl(_u1088, _u1091))) )).
% 57.32/57.52 cnf(matrix-532, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1093, _u1093)), hAPP(hAPP(c_Product__Type_OPair(_u1093, _u1093), _u1094), _u1095)), c_Transitive__Closure_Ortrancl(_u1093, _u1096))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1093, _u1093)), hAPP(hAPP(c_Product__Type_OPair(_u1093, _u1093), _u1095), _u1097)), _u1096)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1093, _u1093)), hAPP(hAPP(c_Product__Type_OPair(_u1093, _u1093), _u1094), _u1097)), c_Transitive__Closure_Otrancl(_u1093, _u1096))) )).
% 57.32/57.52 cnf(matrix-533, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1098, _u1098)), hAPP(hAPP(c_Product__Type_OPair(_u1098, _u1098), _u1099), _u1100)), c_Transitive__Closure_Ortrancl(_u1098, _u1101))) | ( _u1099 = _u1100) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1098, _u1098)), hAPP(hAPP(c_Product__Type_OPair(_u1098, _u1098), _u1099), _u1100)), c_Transitive__Closure_Otrancl(_u1098, _u1101))) )).
% 57.32/57.52 cnf(matrix-534, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1102, _u1102)), hAPP(hAPP(c_Product__Type_OPair(_u1102, _u1102), _u1103), _u1104)), _u1105)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1102, _u1102)), hAPP(hAPP(c_Product__Type_OPair(_u1102, _u1102), _u1104), _u1106)), c_Transitive__Closure_Ortrancl(_u1102, _u1105))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1102, _u1102)), hAPP(hAPP(c_Product__Type_OPair(_u1102, _u1102), _u1103), _u1106)), c_Transitive__Closure_Otrancl(_u1102, _u1105))) )).
% 57.32/57.52 cnf(matrix-535, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1111, _u1111)), hAPP(hAPP(c_Product__Type_OPair(_u1111, _u1111), _u1113), _u1115)), c_Transitive__Closure_Ortrancl(_u1111, _u1117))) | ( _u1113 = _u1115) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1111, _u1111)), hAPP(hAPP(c_Product__Type_OPair(_u1111, _u1111), _u1113), _u1115)), c_Transitive__Closure_Otrancl(_u1111, _u1117))) )).
% 57.32/57.52 cnf(matrix-536, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1112, _u1112)), hAPP(hAPP(c_Product__Type_OPair(_u1112, _u1112), _u1114), _u1116)), c_Transitive__Closure_Ortrancl(_u1112, _u1118))) | ( _u1114 != _u1116) )).
% 57.32/57.52 cnf(matrix-537, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1112, _u1112)), hAPP(hAPP(c_Product__Type_OPair(_u1112, _u1112), _u1114), _u1116)), c_Transitive__Closure_Ortrancl(_u1112, _u1118))) | ( _u1114 = _u1116) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1112, _u1112)), hAPP(hAPP(c_Product__Type_OPair(_u1112, _u1112), _u1114), _u1116)), c_Transitive__Closure_Otrancl(_u1112, _u1118))) )).
% 57.32/57.52 cnf(matrix-538, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1120, _u1120)), hAPP(hAPP(c_Product__Type_OPair(_u1120, _u1120), _u1121), _u1122)), c_Transitive__Closure_Otrancl(_u1120, _u1123))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1120, _u1120)), hAPP(hAPP(c_Product__Type_OPair(_u1120, _u1120), _u1121), skolem71(_u1123, _u1122, _u1121, _u1120))), c_Transitive__Closure_Ortrancl(_u1120, _u1123))) )).
% 57.32/57.52 cnf(matrix-539, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1120, _u1120)), hAPP(hAPP(c_Product__Type_OPair(_u1120, _u1120), _u1121), _u1122)), c_Transitive__Closure_Otrancl(_u1120, _u1123))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1120, _u1120)), hAPP(hAPP(c_Product__Type_OPair(_u1120, _u1120), skolem71(_u1123, _u1122, _u1121, _u1120)), _u1122)), _u1123)) )).
% 57.32/57.52 cnf(matrix-540, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1125, _u1125)), hAPP(hAPP(c_Product__Type_OPair(_u1125, _u1125), _u1126), _u1127)), c_Transitive__Closure_Otrancl(_u1125, _u1128))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1125, _u1125)), hAPP(hAPP(c_Product__Type_OPair(_u1125, _u1125), _u1126), skolem72(_u1128, _u1127, _u1126, _u1125))), _u1128)) )).
% 57.32/57.52 cnf(matrix-541, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1125, _u1125)), hAPP(hAPP(c_Product__Type_OPair(_u1125, _u1125), _u1126), _u1127)), c_Transitive__Closure_Otrancl(_u1125, _u1128))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1125, _u1125)), hAPP(hAPP(c_Product__Type_OPair(_u1125, _u1125), skolem72(_u1128, _u1127, _u1126, _u1125)), _u1127)), c_Transitive__Closure_Ortrancl(_u1125, _u1128))) )).
% 57.32/57.52 cnf(matrix-542, plain, ( ~c_Wellfounded_Oacyclic(_u1133, _u1135) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1133, _u1133)), hAPP(hAPP(c_Product__Type_OPair(_u1133, _u1133), _u1129), _u1129)), c_Transitive__Closure_Otrancl(_u1133, _u1135))) )).
% 57.32/57.52 cnf(matrix-543, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1134, _u1134)), hAPP(hAPP(c_Product__Type_OPair(_u1134, _u1134), skolem73(_u1136, _u1134)), skolem73(_u1136, _u1134))), c_Transitive__Closure_Otrancl(_u1134, _u1136))) | c_Wellfounded_Oacyclic(_u1134, _u1136) )).
% 57.32/57.52 cnf(matrix-544, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), _u1139), _u1140)), c_Transitive__Closure_Otrancl(_u1138, _u1141))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), _u1139), _u1140)), _u1141)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), _u1139), skolem74(_u1141, _u1140, _u1139, _u1138))), c_Transitive__Closure_Otrancl(_u1138, _u1141))) )).
% 57.32/57.52 cnf(matrix-545, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), _u1139), _u1140)), c_Transitive__Closure_Otrancl(_u1138, _u1141))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), _u1139), _u1140)), _u1141)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1138, _u1138)), hAPP(hAPP(c_Product__Type_OPair(_u1138, _u1138), skolem74(_u1141, _u1140, _u1139, _u1138)), _u1140)), _u1141)) )).
% 57.32/57.52 cnf(matrix-546, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), _u1144), _u1145)), c_Transitive__Closure_Otrancl(_u1143, _u1146))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), _u1144), _u1145)), _u1146)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), _u1144), skolem75(_u1146, _u1145, _u1144, _u1143))), _u1146)) )).
% 57.32/57.52 cnf(matrix-547, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), _u1144), _u1145)), c_Transitive__Closure_Otrancl(_u1143, _u1146))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), _u1144), _u1145)), _u1146)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1143, _u1143)), hAPP(hAPP(c_Product__Type_OPair(_u1143, _u1143), skolem75(_u1146, _u1145, _u1144, _u1143)), _u1145)), c_Transitive__Closure_Otrancl(_u1143, _u1146))) )).
% 57.32/57.52 cnf(matrix-548, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1148, _u1148)), hAPP(hAPP(c_Product__Type_OPair(_u1148, _u1148), skolem76(_u1149, _u1148)), skolem76(_u1149, _u1148))), c_Transitive__Closure_Otrancl(_u1148, _u1149))) | c_Wellfounded_Oacyclic(_u1148, _u1149) )).
% 57.32/57.52 cnf(matrix-549, plain, ( ~c_Wellfounded_Oacyclic(_u1154, c_Set_Oinsert(tc_prod(_u1154, _u1154), hAPP(hAPP(c_Product__Type_OPair(_u1154, _u1154), _u1156), _u1158), _u1160)) | c_Wellfounded_Oacyclic(_u1154, _u1160) )).
% 57.32/57.52 cnf(matrix-550, plain, ( ~c_Wellfounded_Oacyclic(_u1154, c_Set_Oinsert(tc_prod(_u1154, _u1154), hAPP(hAPP(c_Product__Type_OPair(_u1154, _u1154), _u1156), _u1158), _u1160)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1154, _u1154)), hAPP(hAPP(c_Product__Type_OPair(_u1154, _u1154), _u1158), _u1156)), c_Transitive__Closure_Ortrancl(_u1154, _u1160))) )).
% 57.32/57.52 cnf(matrix-551, plain, ( ~c_Wellfounded_Oacyclic(_u1155, _u1161) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1155, _u1155)), hAPP(hAPP(c_Product__Type_OPair(_u1155, _u1155), _u1159), _u1157)), c_Transitive__Closure_Ortrancl(_u1155, _u1161))) | c_Wellfounded_Oacyclic(_u1155, c_Set_Oinsert(tc_prod(_u1155, _u1155), hAPP(hAPP(c_Product__Type_OPair(_u1155, _u1155), _u1157), _u1159), _u1161)) )).
% 57.32/57.52 cnf(matrix-552, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1163, _u1163)), hAPP(hAPP(c_Product__Type_OPair(_u1163, _u1163), skolem77(_u1166, _u1165, _u1164, _u1163)), skolem77(_u1166, _u1165, _u1164, _u1163))), c_Transitive__Closure_Otrancl(_u1163, _u1164))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1163, _u1163)), hAPP(hAPP(c_Product__Type_OPair(_u1163, _u1163), _u1165), _u1166)), _u1164)) | ( _u1165 != _u1166) )).
% 57.32/57.52 cnf(matrix-553, plain, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1171, hAPP(hAPP(c_COMBC(_u1171, tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_fun(_u1171, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1171, tc_fun(tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_fun(_u1171, tc_HOL_Obool)), _u1171, c_COMBC(_u1171, tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1171, tc_prod(_u1171, _u1171)), tc_fun(_u1171, tc_fun(tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_HOL_Obool)), _u1171, c_COMBB(tc_prod(_u1171, _u1171), tc_fun(tc_fun(tc_prod(_u1171, _u1171), tc_HOL_Obool), tc_HOL_Obool), _u1171, c_member(tc_prod(_u1171, _u1171)))), c_Product__Type_OPair(_u1171, _u1171)))), _u1173)), _u1175), _u1177)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1171, _u1171)), hAPP(hAPP(c_Product__Type_OPair(_u1171, _u1171), _u1175), _u1177)), c_Transitive__Closure_Otrancl(_u1171, _u1173))) )).
% 57.32/57.52 cnf(matrix-554, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1172, _u1172)), hAPP(hAPP(c_Product__Type_OPair(_u1172, _u1172), _u1176), _u1178)), c_Transitive__Closure_Otrancl(_u1172, _u1174))) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1172, hAPP(hAPP(c_COMBC(_u1172, tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_fun(_u1172, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1172, tc_fun(tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_fun(_u1172, tc_HOL_Obool)), _u1172, c_COMBC(_u1172, tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1172, tc_prod(_u1172, _u1172)), tc_fun(_u1172, tc_fun(tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_HOL_Obool)), _u1172, c_COMBB(tc_prod(_u1172, _u1172), tc_fun(tc_fun(tc_prod(_u1172, _u1172), tc_HOL_Obool), tc_HOL_Obool), _u1172, c_member(tc_prod(_u1172, _u1172)))), c_Product__Type_OPair(_u1172, _u1172)))), _u1174)), _u1176), _u1178)) )).
% 57.32/57.52 cnf(matrix-555, plain, ( ~c_Wellfounded_Oacyclic(_u1179, _u1180) | c_Relation_Oantisym(_u1179, c_Transitive__Closure_Ortrancl(_u1179, _u1180)) )).
% 57.32/57.52 cnf(matrix-556, plain, ( ~hBOOL(hAPP(hAPP(_u1181, _u1182), _u1183)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1184, _u1181), _u1182), _u1183)) )).
% 57.32/57.52 cnf(matrix-557, plain, ( hBOOL(hAPP(hAPP(c_member(_u1185), _u1186), c_Set_Oinsert(_u1185, _u1188, _u1187))) | ~hBOOL(hAPP(hAPP(c_member(_u1185), _u1186), _u1187)) )).
% 57.32/57.52 cnf(matrix-558, plain, ( hBOOL(hAPP(hAPP(c_member(_u1185), _u1186), c_Set_Oinsert(_u1185, _u1188, _u1187))) | ( _u1186 != _u1188) )).
% 57.32/57.52 cnf(matrix-559, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1189), _u1190), c_Set_Oinsert(_u1189, _u1191, _u1192))) | ( _u1190 = _u1191) | hBOOL(hAPP(hAPP(c_member(_u1189), _u1190), _u1192)) )).
% 57.32/57.52 cnf(matrix-560, plain, ( hBOOL(hAPP(hAPP(c_member(_u1193), _u1194), c_Set_Oinsert(_u1193, _u1194, _u1195))) )).
% 57.32/57.52 cnf(matrix-561, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), c_Set_Oinsert(_u1200, _u1204, _u1206))) | ( _u1202 = _u1204) | hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), _u1206)) )).
% 57.32/57.52 cnf(matrix-562, plain, ( hBOOL(hAPP(hAPP(c_member(_u1201), _u1203), c_Set_Oinsert(_u1201, _u1205, _u1207))) | ( _u1203 != _u1205) )).
% 57.32/57.52 cnf(matrix-563, plain, ( hBOOL(hAPP(hAPP(c_member(_u1201), _u1203), c_Set_Oinsert(_u1201, _u1205, _u1207))) | ~hBOOL(hAPP(hAPP(c_member(_u1201), _u1203), _u1207)) )).
% 57.32/57.52 cnf(matrix-564, plain, ( hBOOL(hAPP(hAPP(c_member(_u1208), _u1209), _u1210)) | hBOOL(hAPP(hAPP(c_member(_u1208), _u1209), _u1211)) | ( c_Set_Oinsert(_u1208, _u1209, _u1210) != c_Set_Oinsert(_u1208, _u1209, _u1211)) | ( _u1210 = _u1211) )).
% 57.32/57.52 cnf(matrix-565, plain, ( hBOOL(hAPP(hAPP(c_member(_u1208), _u1209), _u1210)) | hBOOL(hAPP(hAPP(c_member(_u1208), _u1209), _u1211)) | ( _u1210 != _u1211) | ( c_Set_Oinsert(_u1208, _u1209, _u1210) = c_Set_Oinsert(_u1208, _u1209, _u1211)) )).
% 57.32/57.52 cnf(matrix-566, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1212), _u1213), _u1214)) | hBOOL(hAPP(hAPP(c_member(_u1212), _u1213), c_Set_Oinsert(_u1212, _u1215, _u1214))) )).
% 57.32/57.52 cnf(matrix-567, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1216), _u1217), _u1218)) | ( c_Set_Oinsert(_u1216, _u1217, _u1218) = _u1218) )).
% 57.32/57.52 cnf(matrix-568, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1219, tc_HOL_Obool)), c_Set_Oinsert(_u1219, _u1220, _u1221)), c_Set_Oinsert(_u1219, _u1220, _u1222)) = c_Set_Oinsert(_u1219, _u1220, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1219, tc_HOL_Obool)), _u1221), _u1222))) )).
% 57.32/57.52 cnf(matrix-569, plain, ( ( c_Relation_ODomain(_u1223, _u1224, c_Set_Oinsert(tc_prod(_u1223, _u1224), hAPP(hAPP(c_Product__Type_OPair(_u1223, _u1224), _u1225), _u1226), _u1227)) = c_Set_Oinsert(_u1223, _u1225, c_Relation_ODomain(_u1223, _u1224, _u1227))) )).
% 57.32/57.52 cnf(matrix-570, plain, ( ( c_Relation_ORange(_u1228, _u1229, c_Set_Oinsert(tc_prod(_u1228, _u1229), hAPP(hAPP(c_Product__Type_OPair(_u1228, _u1229), _u1230), _u1231), _u1232)) = c_Set_Oinsert(_u1229, _u1231, c_Relation_ORange(_u1228, _u1229, _u1232))) )).
% 57.32/57.52 cnf(matrix-571, plain, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1233, _u1234), _u1235), _u1236)) | ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1233, _u1234), _u1236), _u1237)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1233, _u1234), _u1235), _u1237)) )).
% 57.32/57.52 cnf(matrix-572, plain, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1238, _u1239), _u1240), _u1241)) | ~hBOOL(hAPP(hAPP(_u1239, _u1241), _u1242)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1238, _u1239), _u1240), _u1242)) )).
% 57.32/57.52 cnf(matrix-573, plain, ( ~hBOOL(hAPP(hAPP(_u1243, _u1244), _u1245)) | ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1246, _u1243), _u1245), _u1247)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1246, _u1243), _u1244), _u1247)) )).
% 57.32/57.52 cnf(matrix-574, plain, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1254, _u1256), _u1258), _u1260)) | hBOOL(hAPP(hAPP(_u1256, _u1258), _u1260)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1254, _u1256), _u1258), skolem78(_u1260, _u1258, _u1256, _u1254))) )).
% 57.32/57.52 cnf(matrix-575, plain, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1254, _u1256), _u1258), _u1260)) | hBOOL(hAPP(hAPP(_u1256, _u1258), _u1260)) | hBOOL(hAPP(hAPP(_u1256, skolem78(_u1260, _u1258, _u1256, _u1254)), _u1260)) )).
% 57.32/57.52 cnf(matrix-576, plain, ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1255, _u1257), _u1259), _u1261)) | ~hBOOL(hAPP(hAPP(_u1257, _u1259), _u1261)) )).
% 57.32/57.52 cnf(matrix-577, plain, ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1255, _u1257), _u1259), _u1261)) | ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1255, _u1257), _u1259), _u1249)) | ~hBOOL(hAPP(hAPP(_u1257, _u1249), _u1261)) )).
% 57.32/57.52 cnf(matrix-578, plain, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1268, _u1270), _u1272), _u1274)) | hBOOL(hAPP(hAPP(_u1270, _u1272), _u1274)) | hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1268, _u1270), _u1272), skolem79(_u1274, _u1272, _u1270, _u1268))) )).
% 57.32/57.52 cnf(matrix-579, plain, ( ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1268, _u1270), _u1272), _u1274)) | hBOOL(hAPP(hAPP(_u1270, _u1272), _u1274)) | hBOOL(hAPP(hAPP(_u1270, skolem79(_u1274, _u1272, _u1270, _u1268)), _u1274)) )).
% 57.32/57.52 cnf(matrix-580, plain, ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1269, _u1271), _u1273), _u1275)) | ~hBOOL(hAPP(hAPP(_u1271, _u1273), _u1275)) )).
% 57.32/57.52 cnf(matrix-581, plain, ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1269, _u1271), _u1273), _u1275)) | ~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_u1269, _u1271), _u1273), _u1263)) | ~hBOOL(hAPP(hAPP(_u1271, _u1263), _u1275)) )).
% 57.32/57.52 cnf(matrix-582, plain, ( ( _u1282 = _u1286) | hBOOL(hAPP(_u1284, _u1286)) | ~hBOOL(hAPP(c_Set_Oinsert(_u1280, _u1282, _u1284), _u1286)) )).
% 57.32/57.52 cnf(matrix-583, plain, ( hBOOL(hAPP(c_Set_Oinsert(_u1281, _u1283, _u1285), _u1287)) | ( _u1283 != _u1287) )).
% 57.32/57.52 cnf(matrix-584, plain, ( hBOOL(hAPP(c_Set_Oinsert(_u1281, _u1283, _u1285), _u1287)) | ~hBOOL(hAPP(_u1285, _u1287)) )).
% 57.32/57.52 cnf(matrix-585, plain, ( ( c_Set_Oinsert(_u1288, _u1289, c_Set_Oinsert(_u1288, _u1290, _u1291)) = c_Set_Oinsert(_u1288, _u1290, c_Set_Oinsert(_u1288, _u1289, _u1291))) )).
% 57.32/57.52 cnf(matrix-586, plain, ( ( c_Set_Oinsert(_u1292, _u1293, c_Set_Oinsert(_u1292, _u1293, _u1294)) = c_Set_Oinsert(_u1292, _u1293, _u1294)) )).
% 57.32/57.52 cnf(matrix-587, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1295), _u1296), _u1297)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1295, tc_HOL_Obool)), c_Set_Oinsert(_u1295, _u1296, _u1298)), _u1297) = c_Set_Oinsert(_u1295, _u1296, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1295, tc_HOL_Obool)), _u1298), _u1297))) )).
% 57.32/57.52 cnf(matrix-588, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1299), _u1300), _u1301)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1299, tc_HOL_Obool)), _u1301), c_Set_Oinsert(_u1299, _u1300, _u1302)) = c_Set_Oinsert(_u1299, _u1300, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1299, tc_HOL_Obool)), _u1301), _u1302))) )).
% 57.32/57.52 cnf(matrix-589, plain, ( hBOOL(hAPP(hAPP(c_member(_u1303), _u1304), _u1305)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1303, tc_HOL_Obool)), c_Set_Oinsert(_u1303, _u1304, _u1306)), _u1305) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1303, tc_HOL_Obool)), _u1306), _u1305)) )).
% 57.32/57.52 cnf(matrix-590, plain, ( hBOOL(hAPP(hAPP(c_member(_u1307), _u1308), _u1309)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1307, tc_HOL_Obool)), _u1309), c_Set_Oinsert(_u1307, _u1308, _u1310)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1307, tc_HOL_Obool)), _u1309), _u1310)) )).
% 57.32/57.52 cnf(matrix-591, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1315), _u1317), _u1319)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1315, tc_HOL_Obool)), c_Set_Oinsert(_u1315, _u1317, _u1321)), _u1319) = c_Set_Oinsert(_u1315, _u1317, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1315, tc_HOL_Obool)), _u1321), _u1319))) )).
% 57.32/57.52 cnf(matrix-592, plain, ( hBOOL(hAPP(hAPP(c_member(_u1316), _u1318), _u1320)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1316, tc_HOL_Obool)), c_Set_Oinsert(_u1316, _u1318, _u1322)), _u1320) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1316, tc_HOL_Obool)), _u1322), _u1320)) )).
% 57.32/57.52 cnf(matrix-593, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1327), _u1329), _u1331)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1327, tc_HOL_Obool)), _u1331), c_Set_Oinsert(_u1327, _u1329, _u1333)) = c_Set_Oinsert(_u1327, _u1329, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1327, tc_HOL_Obool)), _u1331), _u1333))) )).
% 57.32/57.52 cnf(matrix-594, plain, ( hBOOL(hAPP(hAPP(c_member(_u1328), _u1330), _u1332)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1328, tc_HOL_Obool)), _u1332), c_Set_Oinsert(_u1328, _u1330, _u1334)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1328, tc_HOL_Obool)), _u1332), _u1334)) )).
% 57.32/57.52 cnf(matrix-595, plain, ( c_Relation_Oantisym(_u1335, c_Relation_OId__on(_u1335, _u1336)) )).
% 57.32/57.52 cnf(matrix-596, plain, ( ~c_Relation_Oantisym(_u1337, _u1338) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1337, _u1337)), hAPP(hAPP(c_Product__Type_OPair(_u1337, _u1337), _u1339), _u1340)), _u1338)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1337, _u1337)), hAPP(hAPP(c_Product__Type_OPair(_u1337, _u1337), _u1340), _u1339)), _u1338)) | ( _u1339 = _u1340) )).
% 57.32/57.52 cnf(matrix-597, plain, ( ~c_Relation_Oantisym(_u1347, _u1349) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1347, _u1347)), hAPP(hAPP(c_Product__Type_OPair(_u1347, _u1347), _u1342), _u1341)), _u1349)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1347, _u1347)), hAPP(hAPP(c_Product__Type_OPair(_u1347, _u1347), _u1341), _u1342)), _u1349)) | ( _u1342 = _u1341) )).
% 57.32/57.52 cnf(matrix-598, plain, ( c_Relation_Oantisym(_u1348, _u1350) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1348, _u1348)), hAPP(hAPP(c_Product__Type_OPair(_u1348, _u1348), skolem80(_u1350, _u1348)), skolem81(_u1350, _u1348))), _u1350)) )).
% 57.32/57.52 cnf(matrix-599, plain, ( c_Relation_Oantisym(_u1348, _u1350) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1348, _u1348)), hAPP(hAPP(c_Product__Type_OPair(_u1348, _u1348), skolem81(_u1350, _u1348)), skolem80(_u1350, _u1348))), _u1350)) )).
% 57.32/57.52 cnf(matrix-600, plain, ( c_Relation_Oantisym(_u1348, _u1350) | ( skolem80(_u1350, _u1348) != skolem81(_u1350, _u1348)) )).
% 57.32/57.52 cnf(matrix-601, plain, ( hBOOL(hAPP(hAPP(c_member(_u1351), _u1352), _u1353)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1351, _u1354)), _u1355), c_FuncSet_Oextensional__funcset(_u1351, _u1354, c_Set_Oinsert(_u1351, _u1352, _u1353), _u1356))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1351, _u1354)), c_Fun_Ofun__upd(_u1351, _u1354, _u1355, _u1352, c_HOL_Oundefined(_u1354))), c_FuncSet_Oextensional__funcset(_u1351, _u1354, _u1353, _u1356))) )).
% 57.32/57.52 cnf(matrix-602, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1357), _u1358), _u1359)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1360, _u1357)), _u1361), c_FuncSet_Oextensional__funcset(_u1360, _u1357, _u1362, _u1359))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1360, _u1357)), c_Fun_Ofun__upd(_u1360, _u1357, _u1361, _u1363, _u1358)), c_FuncSet_Oextensional__funcset(_u1360, _u1357, c_Set_Oinsert(_u1360, _u1363, _u1362), _u1359))) )).
% 57.32/57.52 cnf(matrix-603, plain, ( ~c_Wellfounded_Owf(_u1368, c_Set_Oinsert(tc_prod(_u1368, _u1368), hAPP(hAPP(c_Product__Type_OPair(_u1368, _u1368), _u1370), _u1372), _u1374)) | c_Wellfounded_Owf(_u1368, _u1374) )).
% 57.32/57.52 cnf(matrix-604, plain, ( ~c_Wellfounded_Owf(_u1368, c_Set_Oinsert(tc_prod(_u1368, _u1368), hAPP(hAPP(c_Product__Type_OPair(_u1368, _u1368), _u1370), _u1372), _u1374)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1368, _u1368)), hAPP(hAPP(c_Product__Type_OPair(_u1368, _u1368), _u1372), _u1370)), c_Transitive__Closure_Ortrancl(_u1368, _u1374))) )).
% 57.32/57.52 cnf(matrix-605, plain, ( ~c_Wellfounded_Owf(_u1369, _u1375) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1369, _u1369)), hAPP(hAPP(c_Product__Type_OPair(_u1369, _u1369), _u1373), _u1371)), c_Transitive__Closure_Ortrancl(_u1369, _u1375))) | c_Wellfounded_Owf(_u1369, c_Set_Oinsert(tc_prod(_u1369, _u1369), hAPP(hAPP(c_Product__Type_OPair(_u1369, _u1369), _u1371), _u1373), _u1375)) )).
% 57.32/57.52 cnf(matrix-606, plain, ( c_Relation_Oantisym(_u1378, _u1379) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1378, _u1378)), hAPP(hAPP(c_Product__Type_OPair(_u1378, _u1378), skolem82(_u1379, _u1378)), skolem83(_u1379, _u1378))), _u1379)) )).
% 57.32/57.52 cnf(matrix-607, plain, ( c_Relation_Oantisym(_u1378, _u1379) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1378, _u1378)), hAPP(hAPP(c_Product__Type_OPair(_u1378, _u1378), skolem83(_u1379, _u1378)), skolem82(_u1379, _u1378))), _u1379)) )).
% 57.32/57.52 cnf(matrix-608, plain, ( c_Relation_Oantisym(_u1378, _u1379) | ( skolem82(_u1379, _u1378) != skolem83(_u1379, _u1378)) )).
% 57.32/57.52 cnf(matrix-609, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1380, tc_HOL_Obool), c_Relation_ORange(_u1381, _u1380, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1381, _u1380), tc_HOL_Obool)), _u1382), _u1383)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1380, tc_HOL_Obool)), c_Relation_ORange(_u1381, _u1380, _u1382)), c_Relation_ORange(_u1381, _u1380, _u1383))) )).
% 57.32/57.52 cnf(matrix-610, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1384, tc_HOL_Obool), _u1385, _u1386) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1384, tc_HOL_Obool), _u1386, _u1385) | ( _u1385 = _u1386) )).
% 57.32/57.52 cnf(matrix-611, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1387, tc_HOL_Obool), _u1388, _u1389) | ~hBOOL(hAPP(hAPP(c_member(_u1387), _u1390), _u1388)) | hBOOL(hAPP(hAPP(c_member(_u1387), _u1390), _u1389)) )).
% 57.32/57.52 cnf(matrix-612, plain, ( ~c_Wellfounded_Owf(_u1391, _u1392) | c_Wellfounded_Owf(_u1393, c_Relation_Oinv__image(_u1391, _u1393, _u1392, _u1394)) )).
% 57.32/57.52 cnf(matrix-613, plain, ( ~c_Wellfounded_Owf(_u1395, _u1396) | ~c_Wellfounded_Owf(_u1397, _u1398) | c_Wellfounded_Owf(tc_prod(_u1395, _u1397), c_Wellfounded_Olex__prod(_u1395, _u1397, _u1396, _u1398)) )).
% 57.32/57.52 cnf(matrix-614, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1399, tc_HOL_Obool), _u1400, _u1401) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1399, tc_HOL_Obool), c_Set_Oinsert(_u1399, _u1402, _u1400), c_Set_Oinsert(_u1399, _u1402, _u1401)) )).
% 57.32/57.52 cnf(matrix-615, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1403, tc_HOL_Obool), _u1404, _u1405) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1403, tc_HOL_Obool), _u1404, c_Set_Oinsert(_u1403, _u1406, _u1405)) )).
% 57.32/57.52 cnf(matrix-616, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1407, tc_HOL_Obool), _u1408, c_Set_Oinsert(_u1407, _u1409, _u1408)) )).
% 57.32/57.52 cnf(matrix-617, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1410, tc_HOL_Obool), _u1411, _u1412) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1410, tc_HOL_Obool), _u1413, _u1414) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1410, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1410, tc_HOL_Obool)), _u1411), _u1413), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1410, tc_HOL_Obool)), _u1412), _u1414)) )).
% 57.32/57.52 cnf(matrix-618, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1415, tc_HOL_Obool), _u1416, _u1417) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1415, tc_HOL_Obool), _u1416, _u1418) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1415, tc_HOL_Obool), _u1416, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1415, tc_HOL_Obool)), _u1417), _u1418)) )).
% 57.32/57.52 cnf(matrix-619, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1419, tc_HOL_Obool), _u1420, _u1421) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1419, tc_HOL_Obool)), _u1421), _u1420) = _u1420) )).
% 57.32/57.52 cnf(matrix-620, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1422, tc_HOL_Obool), _u1423, _u1424) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1422, tc_HOL_Obool)), _u1423), _u1424) = _u1423) )).
% 57.32/57.52 cnf(matrix-621, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1425, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1425, tc_HOL_Obool)), _u1426), _u1427), _u1427) )).
% 57.32/57.52 cnf(matrix-622, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1428, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1428, tc_HOL_Obool)), _u1429), _u1430), _u1429) )).
% 57.32/57.52 cnf(matrix-623, plain, ( ~hBOOL(hAPP(_u1431, _u1432)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1433, tc_HOL_Obool), _u1431, _u1434) | hBOOL(hAPP(_u1434, _u1432)) )).
% 57.32/57.52 cnf(matrix-624, plain, ( ~hBOOL(hAPP(_u1436, _u1438)) | hBOOL(hAPP(_u1437, _u1438)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1435, tc_HOL_Obool), _u1436, _u1437) )).
% 57.32/57.52 cnf(matrix-625, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1439, tc_HOL_Obool), _u1440, _u1440) )).
% 57.32/57.52 cnf(matrix-626, plain, ( ( _u1444 != _u1446) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1448, tc_HOL_Obool), _u1444, _u1446) )).
% 57.32/57.52 cnf(matrix-627, plain, ( ( _u1444 != _u1446) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1448, tc_HOL_Obool), _u1446, _u1444) )).
% 57.32/57.52 cnf(matrix-628, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1449, tc_HOL_Obool), _u1445, _u1447) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1449, tc_HOL_Obool), _u1447, _u1445) | ( _u1445 = _u1447) )).
% 57.32/57.52 cnf(matrix-629, plain, ( ( _u1450 != _u1451) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1452, tc_HOL_Obool), _u1450, _u1451) )).
% 57.32/57.52 cnf(matrix-630, plain, ( ( _u1453 != _u1454) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1455, tc_HOL_Obool), _u1454, _u1453) )).
% 57.32/57.52 cnf(matrix-631, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1456, tc_HOL_Obool), _u1457, _u1458) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1456, tc_HOL_Obool), _u1458, _u1459) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1456, tc_HOL_Obool), _u1457, _u1459) )).
% 57.32/57.52 cnf(matrix-632, plain, ( ( _u1460 != _u1461) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1462, tc_HOL_Obool), _u1460, _u1461) )).
% 57.32/57.52 cnf(matrix-633, plain, ( ( _u1460 != _u1461) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1462, tc_HOL_Obool), _u1461, _u1460) )).
% 57.32/57.52 cnf(matrix-634, plain, ( ~c_Wellfounded_Owf(_u1463, _u1464) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1463, _u1463), tc_HOL_Obool), _u1465, _u1464) | c_Wellfounded_Owf(_u1463, _u1465) )).
% 57.32/57.52 cnf(matrix-635, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1466, _u1466), tc_HOL_Obool), _u1467, _u1468) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1466, tc_HOL_Obool), c_Wellfounded_Oacc(_u1466, _u1468), c_Wellfounded_Oacc(_u1466, _u1467)) )).
% 57.32/57.52 cnf(matrix-636, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1469, tc_HOL_Obool), _u1470, _u1471) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1469, _u1472), tc_HOL_Obool), c_FuncSet_OPi(_u1469, _u1472, _u1471, _u1473), c_FuncSet_OPi(_u1469, _u1472, _u1470, _u1473)) )).
% 57.32/57.52 cnf(matrix-637, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1474, _u1475), tc_HOL_Obool), _u1476, _u1477) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1474, tc_HOL_Obool), c_Relation_ODomain(_u1474, _u1475, _u1476), c_Relation_ODomain(_u1474, _u1475, _u1477)) )).
% 57.32/57.52 cnf(matrix-638, plain, ( ~class_Lattices_Osemilattice__inf(_u1478) | ~c_Orderings_Oord__class_Oless__eq(_u1478, _u1479, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1480), _u1481)) | c_Orderings_Oord__class_Oless__eq(_u1478, _u1479, _u1480) )).
% 57.32/57.52 cnf(matrix-639, plain, ( ~class_Lattices_Osemilattice__inf(_u1478) | ~c_Orderings_Oord__class_Oless__eq(_u1478, _u1479, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1480), _u1481)) | c_Orderings_Oord__class_Oless__eq(_u1478, _u1479, _u1481) )).
% 57.32/57.52 cnf(matrix-640, plain, ( ~class_Lattices_Osemilattice__inf(_u1482) | ~c_Orderings_Oord__class_Oless__eq(_u1482, _u1483, _u1484) | ~c_Orderings_Oord__class_Oless__eq(_u1482, _u1485, _u1486) | c_Orderings_Oord__class_Oless__eq(_u1482, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1482), _u1483), _u1485), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1482), _u1484), _u1486)) )).
% 57.32/57.52 cnf(matrix-641, plain, ( ~class_Lattices_Osemilattice__inf(_u1487) | ~c_Orderings_Oord__class_Oless__eq(_u1487, _u1488, _u1489) | ~c_Orderings_Oord__class_Oless__eq(_u1487, _u1488, _u1490) | c_Orderings_Oord__class_Oless__eq(_u1487, _u1488, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1487), _u1489), _u1490)) )).
% 57.32/57.52 cnf(matrix-642, plain, ( ~class_Lattices_Osemilattice__inf(_u1491) | ~c_Orderings_Oord__class_Oless__eq(_u1491, _u1492, _u1493) | ~c_Orderings_Oord__class_Oless__eq(_u1491, _u1492, _u1494) | c_Orderings_Oord__class_Oless__eq(_u1491, _u1492, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1491), _u1493), _u1494)) )).
% 57.32/57.52 cnf(matrix-643, plain, ( ~class_Lattices_Osemilattice__inf(_u1495) | ~c_Orderings_Oord__class_Oless__eq(_u1495, _u1496, _u1497) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1495), _u1497), _u1496) = _u1496) )).
% 57.32/57.52 cnf(matrix-644, plain, ( ~class_Lattices_Osemilattice__inf(_u1498) | ~c_Orderings_Oord__class_Oless__eq(_u1498, _u1499, _u1500) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1498), _u1499), _u1500) = _u1499) )).
% 57.32/57.52 cnf(matrix-645, plain, ( ~class_Lattices_Osemilattice__inf(_u1501) | ~c_Orderings_Oord__class_Oless__eq(_u1501, _u1502, _u1503) | c_Orderings_Oord__class_Oless__eq(_u1501, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1501), _u1504), _u1502), _u1503) )).
% 57.32/57.52 cnf(matrix-646, plain, ( ~class_Lattices_Osemilattice__inf(_u1505) | ~c_Orderings_Oord__class_Oless__eq(_u1505, _u1506, _u1507) | c_Orderings_Oord__class_Oless__eq(_u1505, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1505), _u1506), _u1508), _u1507) )).
% 57.32/57.52 cnf(matrix-647, plain, ( ~class_Lattices_Osemilattice__inf(_u1509) | ~c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), _u1511), _u1512)) | c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, _u1511) )).
% 57.32/57.52 cnf(matrix-648, plain, ( ~class_Lattices_Osemilattice__inf(_u1509) | ~c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), _u1511), _u1512)) | c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, _u1512) )).
% 57.32/57.52 cnf(matrix-649, plain, ( ~class_Lattices_Osemilattice__inf(_u1509) | ~c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, _u1511) | ~c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, _u1512) | c_Orderings_Oord__class_Oless__eq(_u1509, _u1510, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), _u1511), _u1512)) )).
% 57.32/57.52 cnf(matrix-650, plain, ( ~class_Lattices_Osemilattice__inf(_u1513) | ~c_Orderings_Oord__class_Oless__eq(_u1513, _u1514, _u1515) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1513), _u1514), _u1515) = _u1514) )).
% 57.32/57.52 cnf(matrix-651, plain, ( ~class_Lattices_Osemilattice__inf(_u1513) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1513), _u1514), _u1515) != _u1514) | c_Orderings_Oord__class_Oless__eq(_u1513, _u1514, _u1515) )).
% 57.32/57.52 cnf(matrix-652, plain, ( ~class_Lattices_Osemilattice__inf(_u1516) | c_Orderings_Oord__class_Oless__eq(_u1516, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1516), _u1517), _u1518), _u1518) )).
% 57.32/57.52 cnf(matrix-653, plain, ( ~class_Lattices_Olattice(_u1519) | c_Orderings_Oord__class_Oless__eq(_u1519, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1519), _u1520), _u1521), _u1521) )).
% 57.32/57.52 cnf(matrix-654, plain, ( ~class_Lattices_Osemilattice__inf(_u1522) | c_Orderings_Oord__class_Oless__eq(_u1522, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1522), _u1523), _u1524), _u1523) )).
% 57.32/57.52 cnf(matrix-655, plain, ( ~class_Lattices_Olattice(_u1525) | c_Orderings_Oord__class_Oless__eq(_u1525, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1525), _u1526), _u1527), _u1526) )).
% 57.32/57.52 cnf(matrix-656, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1528, tc_HOL_Obool), _u1529, _u1530) | ~hBOOL(hAPP(hAPP(c_member(_u1528), _u1531), _u1529)) | hBOOL(hAPP(hAPP(c_member(_u1528), _u1531), _u1530)) )).
% 57.32/57.52 cnf(matrix-657, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1532), _u1533), _u1534)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1532, tc_HOL_Obool), _u1534, _u1535) | hBOOL(hAPP(hAPP(c_member(_u1532), _u1533), _u1535)) )).
% 57.32/57.52 cnf(matrix-658, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1536, tc_HOL_Obool), _u1537, _u1538) | ~hBOOL(hAPP(hAPP(c_member(_u1536), _u1539), _u1537)) | hBOOL(hAPP(hAPP(c_member(_u1536), _u1539), _u1538)) )).
% 57.32/57.52 cnf(matrix-659, plain, ( ~c_Wellfounded_Owf(_u1540, _u1541) | c_Wellfounded_Owf(_u1540, c_Transitive__Closure_Otrancl(_u1540, _u1541)) )).
% 57.32/57.52 cnf(matrix-660, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1542, _u1542), tc_HOL_Obool), _u1543, _u1544) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1542, _u1542), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_u1542, _u1543), c_Transitive__Closure_Ortrancl(_u1542, _u1544)) )).
% 57.32/57.52 cnf(matrix-661, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1545, _u1545), tc_HOL_Obool), _u1546, _u1547) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1545, _u1545), tc_HOL_Obool), _u1547, c_Transitive__Closure_Ortrancl(_u1545, _u1546)) | ( c_Transitive__Closure_Ortrancl(_u1545, _u1547) = c_Transitive__Closure_Ortrancl(_u1545, _u1546)) )).
% 57.32/57.52 cnf(matrix-662, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1548, _u1548), tc_HOL_Obool), _u1549, c_Transitive__Closure_Ortrancl(_u1548, _u1550)) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1548, _u1548), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_u1548, _u1549), c_Transitive__Closure_Ortrancl(_u1548, _u1550)) )).
% 57.32/57.52 cnf(matrix-663, plain, ( ~c_Wellfounded_Owf(_u1551, _u1552) | c_Wellfounded_Owf(_u1551, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1551, _u1551), tc_HOL_Obool)), _u1552), _u1553)) )).
% 57.32/57.52 cnf(matrix-664, plain, ( ~c_Wellfounded_Owf(_u1554, _u1555) | c_Wellfounded_Owf(_u1554, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1554, _u1554), tc_HOL_Obool)), _u1556), _u1555)) )).
% 57.32/57.52 cnf(matrix-665, plain, ( ~c_Wellfounded_Owf(_u1557, _u1558) | c_Wellfounded_Oacyclic(_u1557, _u1558) )).
% 57.32/57.52 cnf(matrix-666, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1559, _u1559), tc_HOL_Obool), _u1560, _u1561) | ~c_Relation_Oantisym(_u1559, _u1561) | c_Relation_Oantisym(_u1559, _u1560) )).
% 57.32/57.52 cnf(matrix-667, plain, ( ~c_Wellfounded_Oacyclic(_u1562, _u1563) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1562, _u1562), tc_HOL_Obool), _u1564, _u1563) | c_Wellfounded_Oacyclic(_u1562, _u1564) )).
% 57.32/57.52 cnf(matrix-668, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1565, _u1566), tc_HOL_Obool), _u1567, _u1568) | ~c_Relation_Osingle__valued(_u1565, _u1566, _u1568) | c_Relation_Osingle__valued(_u1565, _u1566, _u1567) )).
% 57.32/57.52 cnf(matrix-669, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1572, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1572, tc_fun(_u1572, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1572)), _u1574), hAPP(hAPP(c_COMBC(_u1572, tc_fun(_u1572, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1572)), _u1576)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1572, tc_HOL_Obool), _u1574, _u1576) )).
% 57.32/57.52 cnf(matrix-670, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1573, tc_HOL_Obool), _u1575, _u1577) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1573, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1573, tc_fun(_u1573, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1573)), _u1575), hAPP(hAPP(c_COMBC(_u1573, tc_fun(_u1573, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1573)), _u1577)) )).
% 57.32/57.52 cnf(matrix-671, plain, ( ~c_Wellfounded_Owf(_u1578, _u1579) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1578, _u1578)), hAPP(hAPP(c_Product__Type_OPair(_u1578, _u1578), _u1580), _u1580)), _u1579)) )).
% 57.32/57.52 cnf(matrix-672, plain, ( ~c_Wellfounded_Owf(_u1581, _u1582) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1581, _u1581)), hAPP(hAPP(c_Product__Type_OPair(_u1581, _u1581), _u1583), _u1584)), _u1582)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1581, _u1581)), hAPP(hAPP(c_Product__Type_OPair(_u1581, _u1581), _u1584), _u1583)), _u1582)) )).
% 57.32/57.52 cnf(matrix-673, plain, ( ~c_Wellfounded_Owf(_u1585, _u1586) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1585, _u1585)), hAPP(hAPP(c_Product__Type_OPair(_u1585, _u1585), _u1587), _u1588)), _u1586)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1585, _u1585)), hAPP(hAPP(c_Product__Type_OPair(_u1585, _u1585), _u1588), _u1587)), _u1586)) )).
% 57.32/57.52 cnf(matrix-674, plain, ( ~c_Wellfounded_Owf(_u1589, _u1590) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1589, _u1589)), hAPP(hAPP(c_Product__Type_OPair(_u1589, _u1589), _u1591), _u1591)), _u1590)) )).
% 57.32/57.52 cnf(matrix-675, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1596, tc_HOL_Obool), c_Set_Oinsert(_u1596, _u1598, _u1600), _u1602) | hBOOL(hAPP(hAPP(c_member(_u1596), _u1598), _u1602)) )).
% 57.32/57.52 cnf(matrix-676, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1596, tc_HOL_Obool), c_Set_Oinsert(_u1596, _u1598, _u1600), _u1602) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1596, tc_HOL_Obool), _u1600, _u1602) )).
% 57.32/57.52 cnf(matrix-677, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1597), _u1599), _u1603)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1597, tc_HOL_Obool), _u1601, _u1603) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1597, tc_HOL_Obool), c_Set_Oinsert(_u1597, _u1599, _u1601), _u1603) )).
% 57.32/57.52 cnf(matrix-678, plain, ( hBOOL(hAPP(hAPP(c_member(_u1604), _u1605), _u1606)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1604, tc_HOL_Obool), _u1606, c_Set_Oinsert(_u1604, _u1605, _u1607)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1604, tc_HOL_Obool), _u1606, _u1607) )).
% 57.32/57.52 cnf(matrix-679, plain, ( hBOOL(hAPP(hAPP(c_member(_u1604), _u1605), _u1606)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1604, tc_HOL_Obool), _u1606, _u1607) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1604, tc_HOL_Obool), _u1606, c_Set_Oinsert(_u1604, _u1605, _u1607)) )).
% 57.32/57.52 cnf(matrix-680, plain, ( ~c_Wellfounded_Owf(_u1612, _u1614) | hBOOL(hAPP(hAPP(c_member(_u1612), _u1608), c_Wellfounded_Oacc(_u1612, _u1614))) )).
% 57.32/57.52 cnf(matrix-681, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1613), skolem84(_u1615, _u1613)), c_Wellfounded_Oacc(_u1613, _u1615))) | c_Wellfounded_Owf(_u1613, _u1615) )).
% 57.32/57.52 cnf(matrix-682, plain, ( ~c_Wellfounded_Owf(_u1616, _u1617) | hBOOL(hAPP(hAPP(c_member(_u1616), _u1618), c_Wellfounded_Oacc(_u1616, _u1617))) )).
% 57.32/57.52 cnf(matrix-683, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1619, _u1619)), _u1620), c_Transitive__Closure_Otrancl(_u1619, _u1621))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1619, _u1619), tc_HOL_Obool), _u1621, _u1622) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1619, _u1619)), _u1620), c_Transitive__Closure_Otrancl(_u1619, _u1622))) )).
% 57.32/57.52 cnf(matrix-684, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1623, _u1624)), _u1625), c_FuncSet_Oextensional(_u1623, _u1624, _u1626))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1623, tc_HOL_Obool), _u1626, _u1627) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1623, _u1624)), _u1625), c_FuncSet_Oextensional(_u1623, _u1624, _u1627))) )).
% 57.32/57.52 cnf(matrix-685, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u1628, tc_HOL_Obool), c_Relation_ODomain(_u1628, _u1629, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1628, _u1629), tc_HOL_Obool)), _u1630), _u1631)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1628, tc_HOL_Obool)), c_Relation_ODomain(_u1628, _u1629, _u1630)), c_Relation_ODomain(_u1628, _u1629, _u1631))) )).
% 57.32/57.52 cnf(matrix-686, plain, ( ( c_Fun_Ofun__upd(_u1632, _u1633, _u1634, _u1635, hAPP(_u1634, _u1635)) = _u1634) )).
% 57.32/57.52 cnf(matrix-687, plain, ( ~class_Orderings_Opreorder(_u1636) | c_Orderings_Oord__class_Oless__eq(_u1636, _u1637, _u1637) )).
% 57.32/57.52 cnf(matrix-688, plain, ( c_Wellfounded_Owf(_u1638, c_Wellfounded_Omeasure(_u1638, _u1639)) )).
% 57.32/57.52 cnf(matrix-689, plain, ( ~class_Orderings_Oord(_u1640) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1641, _u1640), _u1642, _u1643) | c_Orderings_Oord__class_Oless__eq(_u1640, hAPP(_u1642, _u1644), hAPP(_u1643, _u1644)) )).
% 57.32/57.52 cnf(matrix-690, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1645, tc_fun(_u1645, tc_HOL_Obool)), _u1646, _u1647) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1645, tc_HOL_Obool), c_Wellfounded_Oaccp(_u1645, _u1647), c_Wellfounded_Oaccp(_u1645, _u1646)) )).
% 57.32/57.52 cnf(matrix-691, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1652, tc_fun(_u1654, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1652, tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_fun(_u1654, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1654, tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_fun(_u1654, tc_HOL_Obool)), _u1652, c_COMBC(_u1654, tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1654, tc_prod(_u1652, _u1654)), tc_fun(_u1654, tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), _u1652, c_COMBB(tc_prod(_u1652, _u1654), tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool), _u1654, c_member(tc_prod(_u1652, _u1654)))), c_Product__Type_OPair(_u1652, _u1654)))), _u1656), hAPP(hAPP(c_COMBC(_u1652, tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_fun(_u1654, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1654, tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_fun(_u1654, tc_HOL_Obool)), _u1652, c_COMBC(_u1654, tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1654, tc_prod(_u1652, _u1654)), tc_fun(_u1654, tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool)), _u1652, c_COMBB(tc_prod(_u1652, _u1654), tc_fun(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), tc_HOL_Obool), _u1654, c_member(tc_prod(_u1652, _u1654)))), c_Product__Type_OPair(_u1652, _u1654)))), _u1658)) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1652, _u1654), tc_HOL_Obool), _u1656, _u1658) )).
% 57.32/57.52 cnf(matrix-692, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), _u1657, _u1659) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1653, tc_fun(_u1655, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1653, tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_fun(_u1655, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1655, tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_fun(_u1655, tc_HOL_Obool)), _u1653, c_COMBC(_u1655, tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1655, tc_prod(_u1653, _u1655)), tc_fun(_u1655, tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), _u1653, c_COMBB(tc_prod(_u1653, _u1655), tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool), _u1655, c_member(tc_prod(_u1653, _u1655)))), c_Product__Type_OPair(_u1653, _u1655)))), _u1657), hAPP(hAPP(c_COMBC(_u1653, tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_fun(_u1655, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1655, tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_fun(_u1655, tc_HOL_Obool)), _u1653, c_COMBC(_u1655, tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1655, tc_prod(_u1653, _u1655)), tc_fun(_u1655, tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool)), _u1653, c_COMBB(tc_prod(_u1653, _u1655), tc_fun(tc_fun(tc_prod(_u1653, _u1655), tc_HOL_Obool), tc_HOL_Obool), _u1655, c_member(tc_prod(_u1653, _u1655)))), c_Product__Type_OPair(_u1653, _u1655)))), _u1659)) )).
% 57.32/57.52 cnf(matrix-693, plain, ( ~class_Orderings_Olinorder(_u1660) | c_Orderings_Oord__class_Oless__eq(_u1660, _u1661, _u1662) | c_Orderings_Oord__class_Oless__eq(_u1660, _u1662, _u1661) )).
% 57.32/57.52 cnf(matrix-694, plain, ( ~class_Orderings_Oorder(_u1663) | ( _u1664 != _u1665) | c_Orderings_Oord__class_Oless__eq(_u1663, _u1664, _u1665) )).
% 57.32/57.52 cnf(matrix-695, plain, ( ~class_Orderings_Oorder(_u1663) | ( _u1664 != _u1665) | c_Orderings_Oord__class_Oless__eq(_u1663, _u1665, _u1664) )).
% 57.32/57.52 cnf(matrix-696, plain, ( ~class_Orderings_Oorder(_u1663) | ~c_Orderings_Oord__class_Oless__eq(_u1663, _u1664, _u1665) | ~c_Orderings_Oord__class_Oless__eq(_u1663, _u1665, _u1664) | ( _u1664 = _u1665) )).
% 57.32/57.52 cnf(matrix-697, plain, ( ~class_Orderings_Opreorder(_u1666) | ( _u1667 != _u1668) | c_Orderings_Oord__class_Oless__eq(_u1666, _u1667, _u1668) )).
% 57.32/57.52 cnf(matrix-698, plain, ( ~class_Orderings_Oorder(_u1669) | ~c_Orderings_Oord__class_Oless__eq(_u1669, _u1670, _u1671) | ~c_Orderings_Oord__class_Oless__eq(_u1669, _u1671, _u1670) | ( _u1671 = _u1670) )).
% 57.32/57.52 cnf(matrix-699, plain, ( ~class_Orderings_Oorder(_u1669) | ~c_Orderings_Oord__class_Oless__eq(_u1669, _u1670, _u1671) | ( _u1671 != _u1670) | c_Orderings_Oord__class_Oless__eq(_u1669, _u1671, _u1670) )).
% 57.32/57.52 cnf(matrix-700, plain, ( ~class_Orderings_Oord(_u1672) | ( _u1673 != _u1674) | ~c_Orderings_Oord__class_Oless__eq(_u1672, _u1674, _u1675) | c_Orderings_Oord__class_Oless__eq(_u1672, _u1673, _u1675) )).
% 57.32/57.52 cnf(matrix-701, plain, ( ~class_Orderings_Oorder(_u1676) | ( _u1677 != _u1678) | ~c_Orderings_Oord__class_Oless__eq(_u1676, _u1679, _u1678) | c_Orderings_Oord__class_Oless__eq(_u1676, _u1679, _u1677) )).
% 57.32/57.52 cnf(matrix-702, plain, ( ~class_Orderings_Oord(_u1680) | ~c_Orderings_Oord__class_Oless__eq(_u1680, _u1681, _u1682) | ( _u1682 != _u1683) | c_Orderings_Oord__class_Oless__eq(_u1680, _u1681, _u1683) )).
% 57.32/57.52 cnf(matrix-703, plain, ( ~class_Orderings_Oorder(_u1684) | ~c_Orderings_Oord__class_Oless__eq(_u1684, _u1685, _u1686) | ( _u1685 != _u1687) | c_Orderings_Oord__class_Oless__eq(_u1684, _u1687, _u1686) )).
% 57.32/57.52 cnf(matrix-704, plain, ( ~class_Orderings_Oorder(_u1688) | ~c_Orderings_Oord__class_Oless__eq(_u1688, _u1689, _u1690) | ~c_Orderings_Oord__class_Oless__eq(_u1688, _u1690, _u1689) | ( _u1689 = _u1690) )).
% 57.32/57.52 cnf(matrix-705, plain, ( ~class_Orderings_Opreorder(_u1691) | ~c_Orderings_Oord__class_Oless__eq(_u1691, _u1692, _u1693) | ~c_Orderings_Oord__class_Oless__eq(_u1691, _u1693, _u1694) | c_Orderings_Oord__class_Oless__eq(_u1691, _u1692, _u1694) )).
% 57.32/57.52 cnf(matrix-706, plain, ( ~class_Orderings_Oorder(_u1695) | ~c_Orderings_Oord__class_Oless__eq(_u1695, _u1696, _u1697) | ~c_Orderings_Oord__class_Oless__eq(_u1695, _u1697, _u1696) | ( _u1697 = _u1696) )).
% 57.32/57.52 cnf(matrix-707, plain, ( ~class_Orderings_Oorder(_u1698) | ~c_Orderings_Oord__class_Oless__eq(_u1698, _u1699, _u1700) | ~c_Orderings_Oord__class_Oless__eq(_u1698, _u1701, _u1699) | c_Orderings_Oord__class_Oless__eq(_u1698, _u1701, _u1700) )).
% 57.32/57.52 cnf(matrix-708, plain, ( ~class_Orderings_Olinorder(_u1702) | c_Orderings_Oord__class_Oless__eq(_u1702, _u1703, _u1704) | c_Orderings_Oord__class_Oless__eq(_u1702, _u1704, _u1703) )).
% 57.32/57.52 cnf(matrix-709, plain, ( ( hAPP(_u1714, _u1716) = _u1718) | ( c_Fun_Ofun__upd(_u1710, _u1712, _u1714, _u1716, _u1718) != _u1714) )).
% 57.32/57.52 cnf(matrix-710, plain, ( ( hAPP(_u1715, _u1717) != _u1719) | ( c_Fun_Ofun__upd(_u1711, _u1713, _u1715, _u1717, _u1719) = _u1715) )).
% 57.32/57.52 cnf(matrix-711, plain, ( ( c_Fun_Ofun__upd(_u1720, _u1721, c_Fun_Ofun__upd(_u1720, _u1721, _u1722, _u1723, _u1724), _u1723, _u1725) = c_Fun_Ofun__upd(_u1720, _u1721, _u1722, _u1723, _u1725)) )).
% 57.32/57.52 cnf(matrix-712, plain, ( ( hAPP(c_Fun_Ofun__upd(_u1726, _u1727, _u1728, _u1729, _u1730), _u1729) = _u1730) )).
% 57.32/57.52 cnf(matrix-713, plain, ( ( _u1737 != _u1739) | ( hAPP(c_Fun_Ofun__upd(_u1741, _u1743, _u1745, _u1739, _u1747), _u1737) = _u1747) )).
% 57.32/57.52 cnf(matrix-714, plain, ( ( _u1738 = _u1740) | ( hAPP(c_Fun_Ofun__upd(_u1742, _u1744, _u1746, _u1740, _u1748), _u1738) = hAPP(_u1746, _u1738)) )).
% 57.32/57.52 cnf(matrix-715, plain, ( ( _u1749 = _u1750) | ( c_Fun_Ofun__upd(_u1751, _u1752, c_Fun_Ofun__upd(_u1751, _u1752, _u1753, _u1749, _u1754), _u1750, _u1755) = c_Fun_Ofun__upd(_u1751, _u1752, c_Fun_Ofun__upd(_u1751, _u1752, _u1753, _u1750, _u1755), _u1749, _u1754)) )).
% 57.32/57.52 cnf(matrix-716, plain, ( ( _u1756 = _u1757) | ( hAPP(c_Fun_Ofun__upd(_u1758, _u1759, _u1760, _u1757, _u1761), _u1756) = hAPP(_u1760, _u1756)) )).
% 57.32/57.52 cnf(matrix-717, plain, ( ( hAPP(_u1762, _u1763) != _u1764) | ( c_Fun_Ofun__upd(_u1765, _u1766, _u1762, _u1763, _u1764) = _u1762) )).
% 57.32/57.52 cnf(matrix-718, plain, ( ( _u1773 != _u1775) | ( hAPP(c_Fun_Ofun__upd(_u1777, _u1779, _u1781, _u1775, _u1783), _u1773) = _u1783) )).
% 57.32/57.52 cnf(matrix-719, plain, ( ( _u1774 = _u1776) | ( hAPP(c_Fun_Ofun__upd(_u1778, _u1780, _u1782, _u1776, _u1784), _u1774) = hAPP(_u1782, _u1774)) )).
% 57.32/57.52 cnf(matrix-720, plain, ( ~class_Orderings_Oord(_u1787) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1788, _u1787), _u1789, _u1790) | c_Orderings_Oord__class_Oless__eq(_u1787, hAPP(_u1789, _u1785), hAPP(_u1790, _u1785)) )).
% 57.32/57.52 cnf(matrix-721, plain, ( ~class_Orderings_Oord(_u1787) | ~c_Orderings_Oord__class_Oless__eq(_u1787, hAPP(_u1789, skolem85(_u1790, _u1789, _u1788, _u1787)), hAPP(_u1790, skolem85(_u1790, _u1789, _u1788, _u1787))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1788, _u1787), _u1789, _u1790) )).
% 57.32/57.52 cnf(matrix-722, plain, ( ~class_Orderings_Oord(_u1791) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1792, _u1791), _u1793, _u1794) | c_Orderings_Oord__class_Oless__eq(_u1791, hAPP(_u1793, _u1795), hAPP(_u1794, _u1795)) )).
% 57.32/57.52 cnf(matrix-723, plain, ( c_Wellfounded_Owf(tc_prod(_u1800, _u1798), c_Recdef_Osame__fst(_u1800, _u1798, _u1797, _u1799)) | hBOOL(hAPP(_u1797, skolem86(_u1800, _u1799, _u1798, _u1797))) )).
% 57.32/57.52 cnf(matrix-724, plain, ( c_Wellfounded_Owf(tc_prod(_u1800, _u1798), c_Recdef_Osame__fst(_u1800, _u1798, _u1797, _u1799)) | ~c_Wellfounded_Owf(_u1798, hAPP(_u1799, skolem86(_u1800, _u1799, _u1798, _u1797))) )).
% 57.32/57.52 cnf(matrix-725, plain, ( ~c_Wellfounded_Owf(_u1804, _u1802) | ( hAPP(c_Recdef_Owfrec(_u1804, _u1805, _u1802, _u1803), _u1801) = hAPP(hAPP(_u1803, hAPP(hAPP(hAPP(c_Recdef_Ocut(_u1804, _u1805), c_Recdef_Owfrec(_u1804, _u1805, _u1802, _u1803)), _u1802), _u1801)), _u1801)) )).
% 57.32/57.52 cnf(matrix-726, plain, ( ~c_Wellfounded_Owf(_u1806, _u1807) | ( hAPP(c_Recdef_Owfrec(_u1806, _u1808, _u1807, _u1809), _u1810) = hAPP(hAPP(_u1809, hAPP(hAPP(hAPP(c_Recdef_Ocut(_u1806, _u1808), c_Recdef_Owfrec(_u1806, _u1808, _u1807, _u1809)), _u1807), _u1810)), _u1810)) )).
% 57.32/57.52 cnf(matrix-727, plain, ( ~hBOOL(hAPP(hAPP(_u1813, _u1815), _u1816)) | hBOOL(hAPP(hAPP(_u1814, _u1815), _u1816)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1811, tc_fun(_u1812, tc_HOL_Obool)), _u1813, _u1814) )).
% 57.32/57.52 cnf(matrix-728, plain, ( ~hBOOL(hAPP(hAPP(_u1817, _u1818), _u1819)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1820, tc_fun(_u1821, tc_HOL_Obool)), _u1817, _u1822) | hBOOL(hAPP(hAPP(_u1822, _u1818), _u1819)) )).
% 57.32/57.52 cnf(matrix-729, plain, ( ( _u1823 != c_Recdef_Owfrec(_u1824, _u1825, _u1826, _u1827)) | ~c_Wellfounded_Owf(_u1824, _u1826) | ( hAPP(_u1823, _u1828) = hAPP(hAPP(_u1827, hAPP(hAPP(hAPP(c_Recdef_Ocut(_u1824, _u1825), _u1823), _u1826), _u1828)), _u1828)) )).
% 57.32/57.52 cnf(matrix-730, plain, ( ( hAPP(c_Recdef_Owfrec(_u1829, _u1830, _u1831, _u1832), _u1833) = c_HOL_OThe(_u1830, c_Recdef_Owfrec__rel(_u1829, _u1830, _u1831, hAPP(hAPP(c_COMBC(tc_fun(_u1829, _u1830), tc_fun(_u1829, _u1829), tc_fun(_u1829, _u1830)), hAPP(c_COMBB(tc_fun(_u1829, tc_fun(_u1829, _u1830)), tc_fun(tc_fun(_u1829, _u1829), tc_fun(_u1829, _u1830)), tc_fun(_u1829, _u1830), c_COMBS(_u1829, _u1829, _u1830)), hAPP(c_COMBB(tc_fun(_u1829, tc_fun(_u1829, _u1830)), tc_fun(_u1829, tc_fun(_u1829, _u1830)), tc_fun(_u1829, _u1830), c_COMBB(tc_fun(_u1829, _u1830), tc_fun(_u1829, _u1830), _u1829, _u1832)), hAPP(hAPP(c_COMBC(tc_fun(_u1829, _u1830), tc_fun(tc_prod(_u1829, _u1829), tc_HOL_Obool), tc_fun(_u1829, tc_fun(_u1829, _u1830))), c_Recdef_Ocut(_u1829, _u1830)), _u1831)))), c_COMBI(_u1829)), _u1833))) )).
% 57.32/57.52 cnf(matrix-731, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(_u1834, _u1835), hAPP(_u1834, _u1836)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1837, _u1837)), hAPP(hAPP(c_Product__Type_OPair(_u1837, _u1837), _u1835), _u1836)), _u1838)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1837, _u1837)), hAPP(hAPP(c_Product__Type_OPair(_u1837, _u1837), _u1835), _u1836)), c_Wellfounded_Omlex__prod(_u1837, _u1834, _u1838))) )).
% 57.32/57.52 cnf(matrix-732, plain, ( ~c_Recdef_Oadm__wf(_u1841, _u1842, _u1843, _u1844) | ~c_Wellfounded_Owf(_u1841, _u1843) | hBOOL(hAPP(c_Recdef_Owfrec__rel(_u1841, _u1842, _u1843, _u1844, _u1845), skolem87(_u1845, _u1844, _u1843, _u1842, _u1841))) )).
% 57.32/57.52 cnf(matrix-733, plain, ( ~c_Recdef_Oadm__wf(_u1841, _u1842, _u1843, _u1844) | ~c_Wellfounded_Owf(_u1841, _u1843) | ~hBOOL(hAPP(c_Recdef_Owfrec__rel(_u1841, _u1842, _u1843, _u1844, _u1845), _u1839)) | ( _u1839 = skolem87(_u1845, _u1844, _u1843, _u1842, _u1841)) )).
% 57.32/57.52 cnf(matrix-734, plain, ( ~c_Wellfounded_Owf(_u1846, _u1847) | c_Wellfounded_Owf(_u1846, c_Wellfounded_Omlex__prod(_u1846, _u1848, _u1847)) )).
% 57.32/57.52 cnf(matrix-735, plain, ( ~c_Wellfounded_Owf(_u1854, _u1856) | ( c_Nitpick_Owfrec_H(_u1854, _u1858, _u1856, _u1860, _u1862) = c_Nitpick_Owf__wfrec_H(_u1854, _u1858, _u1856, _u1860, _u1862)) )).
% 57.32/57.52 cnf(matrix-736, plain, ( c_Wellfounded_Owf(_u1855, _u1857) | ( c_Nitpick_Owfrec_H(_u1855, _u1859, _u1857, _u1861, _u1863) = c_HOL_OThe(_u1859, c_Recdef_Owfrec__rel(_u1855, _u1859, _u1857, hAPP(hAPP(c_COMBC(tc_fun(_u1855, _u1859), tc_fun(_u1855, _u1855), tc_fun(_u1855, _u1859)), hAPP(c_COMBB(tc_fun(_u1855, tc_fun(_u1855, _u1859)), tc_fun(tc_fun(_u1855, _u1855), tc_fun(_u1855, _u1859)), tc_fun(_u1855, _u1859), c_COMBS(_u1855, _u1855, _u1859)), hAPP(c_COMBB(tc_fun(_u1855, tc_fun(_u1855, _u1859)), tc_fun(_u1855, tc_fun(_u1855, _u1859)), tc_fun(_u1855, _u1859), c_COMBB(tc_fun(_u1855, _u1859), tc_fun(_u1855, _u1859), _u1855, _u1861)), hAPP(hAPP(c_COMBC(tc_fun(_u1855, _u1859), tc_fun(tc_prod(_u1855, _u1855), tc_HOL_Obool), tc_fun(_u1855, tc_fun(_u1855, _u1859))), c_Recdef_Ocut(_u1855, _u1859)), _u1857)))), c_COMBI(_u1855)), _u1863))) )).
% 57.32/57.52 cnf(matrix-737, plain, ( ( c_HOL_OThe(_u1864, hAPP(c_fequal, _u1865)) = _u1865) )).
% 57.32/57.52 cnf(matrix-738, plain, ( ( c_HOL_OThe(_u1866, hAPP(hAPP(c_COMBC(_u1866, _u1866, tc_HOL_Obool), c_fequal), _u1867)) = _u1867) )).
% 57.32/57.52 cnf(matrix-739, plain, ( ( c_Nitpick_Owf__wfrec_H(_u1868, _u1869, _u1870, _u1871, _u1872) = hAPP(hAPP(_u1871, hAPP(hAPP(hAPP(c_Recdef_Ocut(_u1868, _u1869), c_Nitpick_Owf__wfrec(_u1868, _u1869, _u1870, _u1871)), _u1870), _u1872)), _u1872)) )).
% 57.32/57.52 cnf(matrix-740, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1874, _u1876), tc_HOL_Obool), c_FuncSet_OPi(_u1874, _u1876, _u1875, _u1877), c_FuncSet_OPi(_u1874, _u1876, _u1875, _u1878)) | hBOOL(hAPP(hAPP(c_member(_u1874), skolem88(_u1878, _u1877, _u1876, _u1875, _u1874)), _u1875)) )).
% 57.32/57.52 cnf(matrix-741, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1874, _u1876), tc_HOL_Obool), c_FuncSet_OPi(_u1874, _u1876, _u1875, _u1877), c_FuncSet_OPi(_u1874, _u1876, _u1875, _u1878)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1876, tc_HOL_Obool), hAPP(_u1877, skolem88(_u1878, _u1877, _u1876, _u1875, _u1874)), hAPP(_u1878, skolem88(_u1878, _u1877, _u1876, _u1875, _u1874))) )).
% 57.32/57.52 cnf(matrix-742, plain, ( ~c_Wellfounded_OwfP(_u1881, hAPP(hAPP(c_COMBC(_u1881, tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_fun(_u1881, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1881, tc_fun(tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_fun(_u1881, tc_HOL_Obool)), _u1881, c_COMBC(_u1881, tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1881, tc_prod(_u1881, _u1881)), tc_fun(_u1881, tc_fun(tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_HOL_Obool)), _u1881, c_COMBB(tc_prod(_u1881, _u1881), tc_fun(tc_fun(tc_prod(_u1881, _u1881), tc_HOL_Obool), tc_HOL_Obool), _u1881, c_member(tc_prod(_u1881, _u1881)))), c_Product__Type_OPair(_u1881, _u1881)))), _u1883)) | c_Wellfounded_Owf(_u1881, _u1883) )).
% 57.32/57.52 cnf(matrix-743, plain, ( ~c_Wellfounded_Owf(_u1882, _u1884) | c_Wellfounded_OwfP(_u1882, hAPP(hAPP(c_COMBC(_u1882, tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_fun(_u1882, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1882, tc_fun(tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_fun(_u1882, tc_HOL_Obool)), _u1882, c_COMBC(_u1882, tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1882, tc_prod(_u1882, _u1882)), tc_fun(_u1882, tc_fun(tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_HOL_Obool)), _u1882, c_COMBB(tc_prod(_u1882, _u1882), tc_fun(tc_fun(tc_prod(_u1882, _u1882), tc_HOL_Obool), tc_HOL_Obool), _u1882, c_member(tc_prod(_u1882, _u1882)))), c_Product__Type_OPair(_u1882, _u1882)))), _u1884)) )).
% 57.32/57.52 cnf(matrix-744, plain, ( c_Wellfounded_OwfP(_u1885, c_COMBK(tc_fun(_u1885, tc_HOL_Obool), _u1885, c_COMBK(tc_HOL_Obool, _u1885, c_fFalse))) )).
% 57.32/57.52 cnf(matrix-745, plain, ( ~c_Wellfounded_OwfP(_u1890, _u1892) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u1890, _u1892), _u1886)) )).
% 57.32/57.52 cnf(matrix-746, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u1891, _u1893), skolem89(_u1893, _u1891))) | c_Wellfounded_OwfP(_u1891, _u1893) )).
% 57.32/57.52 cnf(matrix-747, plain, ( ~c_Wellfounded_OwfP(_u1894, _u1895) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u1894, _u1895), _u1896)) )).
% 57.32/57.52 cnf(matrix-748, plain, ( ~c_Wellfounded_OwfP(_u1897, _u1898) | c_Wellfounded_OwfP(_u1897, c_Transitive__Closure_Otranclp(_u1897, _u1898)) )).
% 57.32/57.52 cnf(matrix-749, plain, ( ~c_Wellfounded_OwfP(_u1899, _u1900) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1899, tc_fun(_u1899, tc_HOL_Obool)), _u1901, _u1900) | c_Wellfounded_OwfP(_u1899, _u1901) )).
% 57.32/57.52 cnf(matrix-750, plain, ( ~c_Wellfounded_Owf(_u1902, _u1903) | c_Wellfounded_OwfP(_u1902, c_FunDef_Oin__rel(_u1902, _u1902, _u1903)) )).
% 57.32/57.52 cnf(matrix-751, plain, ( ~c_Wellfounded_Owf(_u1914, _u1916) | ~hBOOL(hAPP(hAPP(c_member(_u1914), _u1904), _u1907)) | hBOOL(hAPP(hAPP(c_member(_u1914), skolem90(_u1916, _u1914, _u1907)), _u1907)) )).
% 57.32/57.52 cnf(matrix-752, plain, ( ~c_Wellfounded_Owf(_u1914, _u1916) | ~hBOOL(hAPP(hAPP(c_member(_u1914), _u1904), _u1907)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1914, _u1914)), hAPP(hAPP(c_Product__Type_OPair(_u1914, _u1914), _u1905), skolem90(_u1916, _u1914, _u1907))), _u1916)) | ~hBOOL(hAPP(hAPP(c_member(_u1914), _u1905), _u1907)) )).
% 57.32/57.52 cnf(matrix-753, plain, ( c_Wellfounded_Owf(_u1915, _u1917) | hBOOL(hAPP(hAPP(c_member(_u1915), skolem92(_u1917, _u1915)), skolem91(_u1917, _u1915))) )).
% 57.32/57.52 cnf(matrix-754, plain, ( c_Wellfounded_Owf(_u1915, _u1917) | ~hBOOL(hAPP(hAPP(c_member(_u1915), _u1910), skolem91(_u1917, _u1915))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1915, _u1915)), hAPP(hAPP(c_Product__Type_OPair(_u1915, _u1915), skolem93(_u1917, _u1915, _u1910)), _u1910)), _u1917)) )).
% 57.32/57.52 cnf(matrix-755, plain, ( c_Wellfounded_Owf(_u1915, _u1917) | ~hBOOL(hAPP(hAPP(c_member(_u1915), _u1910), skolem91(_u1917, _u1915))) | hBOOL(hAPP(hAPP(c_member(_u1915), skolem93(_u1917, _u1915, _u1910)), skolem91(_u1917, _u1915))) )).
% 57.32/57.52 cnf(matrix-756, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1918, _u1918)), hAPP(hAPP(c_Product__Type_OPair(_u1918, _u1918), _u1919), _u1920)), c_Transitive__Closure_Ortrancl(_u1918, _u1921))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1918, _u1918), tc_HOL_Obool), _u1921, c_Product__Type_OSigma(_u1918, _u1918, _u1922, c_COMBK(tc_fun(_u1918, tc_HOL_Obool), _u1918, _u1922))) | ( _u1919 = _u1920) | hBOOL(hAPP(hAPP(c_member(_u1918), _u1919), _u1922)) )).
% 57.32/57.52 cnf(matrix-757, plain, ( ( c_Fun_Othe__inv__into(_u1923, _u1924, _u1925, _u1926, _u1927) = c_HOL_OThe(_u1923, hAPP(hAPP(c_COMBS(_u1923, tc_HOL_Obool, tc_HOL_Obool), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1923, c_fconj), hAPP(hAPP(c_COMBC(_u1923, tc_fun(_u1923, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1923)), _u1925))), hAPP(hAPP(c_COMBC(_u1923, _u1924, tc_HOL_Obool), hAPP(c_COMBB(_u1924, tc_fun(_u1924, tc_HOL_Obool), _u1923, c_fequal), _u1926)), _u1927)))) )).
% 57.32/57.52 cnf(matrix-758, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1928, _u1928), tc_HOL_Obool), _u1929, c_Product__Type_OSigma(_u1928, _u1928, _u1930, c_COMBK(tc_fun(_u1928, tc_HOL_Obool), _u1928, _u1930))) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1928, _u1928), tc_HOL_Obool), c_Transitive__Closure_Otrancl(_u1928, _u1929), c_Product__Type_OSigma(_u1928, _u1928, _u1930, c_COMBK(tc_fun(_u1928, tc_HOL_Obool), _u1928, _u1930))) )).
% 57.32/57.52 cnf(matrix-759, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1931, _u1931), tc_HOL_Obool), c_Relation_OId__on(_u1931, _u1932), c_Product__Type_OSigma(_u1931, _u1931, _u1932, c_COMBK(tc_fun(_u1931, tc_HOL_Obool), _u1931, _u1932))) )).
% 57.32/57.52 cnf(matrix-760, plain, ( ~c_Relation_Orefl__on(_u1938, _u1940, _u1942) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1938, _u1938), tc_HOL_Obool), _u1942, c_Product__Type_OSigma(_u1938, _u1938, _u1940, c_COMBK(tc_fun(_u1938, tc_HOL_Obool), _u1938, _u1940))) )).
% 57.32/57.52 cnf(matrix-761, plain, ( ~c_Relation_Orefl__on(_u1938, _u1940, _u1942) | ~hBOOL(hAPP(hAPP(c_member(_u1938), _u1933), _u1940)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1938, _u1938)), hAPP(hAPP(c_Product__Type_OPair(_u1938, _u1938), _u1933), _u1933)), _u1942)) )).
% 57.32/57.52 cnf(matrix-762, plain, ( c_Relation_Orefl__on(_u1939, _u1941, _u1943) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1939, _u1939), tc_HOL_Obool), _u1943, c_Product__Type_OSigma(_u1939, _u1939, _u1941, c_COMBK(tc_fun(_u1939, tc_HOL_Obool), _u1939, _u1941))) | hBOOL(hAPP(hAPP(c_member(_u1939), skolem94(_u1943, _u1941, _u1939)), _u1941)) )).
% 57.32/57.52 cnf(matrix-763, plain, ( c_Relation_Orefl__on(_u1939, _u1941, _u1943) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1939, _u1939), tc_HOL_Obool), _u1943, c_Product__Type_OSigma(_u1939, _u1939, _u1941, c_COMBK(tc_fun(_u1939, tc_HOL_Obool), _u1939, _u1941))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1939, _u1939)), hAPP(hAPP(c_Product__Type_OPair(_u1939, _u1939), skolem94(_u1943, _u1941, _u1939)), skolem94(_u1943, _u1941, _u1939))), _u1943)) )).
% 57.32/57.52 cnf(matrix-764, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1944), _u1945), _u1946)) | ~hBOOL(hAPP(hAPP(c_member(_u1947), _u1948), hAPP(_u1949, _u1945))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1944, _u1947)), hAPP(hAPP(c_Product__Type_OPair(_u1944, _u1947), _u1945), _u1948)), c_Product__Type_OSigma(_u1944, _u1947, _u1946, _u1949))) )).
% 57.32/57.52 cnf(matrix-765, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1950), _u1951), _u1952)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1953, _u1950), tc_HOL_Obool), c_Product__Type_OSigma(_u1953, _u1950, _u1954, c_COMBK(tc_fun(_u1950, tc_HOL_Obool), _u1953, _u1952)), c_Product__Type_OSigma(_u1953, _u1950, _u1955, c_COMBK(tc_fun(_u1950, tc_HOL_Obool), _u1953, _u1952))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1953, tc_HOL_Obool), _u1954, _u1955) )).
% 57.32/57.52 cnf(matrix-766, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1950), _u1951), _u1952)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1953, tc_HOL_Obool), _u1954, _u1955) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u1953, _u1950), tc_HOL_Obool), c_Product__Type_OSigma(_u1953, _u1950, _u1954, c_COMBK(tc_fun(_u1950, tc_HOL_Obool), _u1953, _u1952)), c_Product__Type_OSigma(_u1953, _u1950, _u1955, c_COMBK(tc_fun(_u1950, tc_HOL_Obool), _u1953, _u1952))) )).
% 57.32/57.52 cnf(matrix-767, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1956, _u1957)), hAPP(hAPP(c_Product__Type_OPair(_u1956, _u1957), _u1958), _u1959)), c_Product__Type_OSigma(_u1956, _u1957, _u1960, _u1961))) | hBOOL(hAPP(hAPP(c_member(_u1956), _u1958), _u1960)) )).
% 57.32/57.52 cnf(matrix-768, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1956, _u1957)), hAPP(hAPP(c_Product__Type_OPair(_u1956, _u1957), _u1958), _u1959)), c_Product__Type_OSigma(_u1956, _u1957, _u1960, _u1961))) | hBOOL(hAPP(hAPP(c_member(_u1957), _u1959), hAPP(_u1961, _u1958))) )).
% 57.32/57.52 cnf(matrix-769, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u1962, _u1963), _u1964), _u1965) != hAPP(hAPP(c_Product__Type_OPair(_u1962, _u1963), _u1966), _u1967)) | ( _u1964 = _u1966) )).
% 57.32/57.52 cnf(matrix-770, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u1962, _u1963), _u1964), _u1965) != hAPP(hAPP(c_Product__Type_OPair(_u1962, _u1963), _u1966), _u1967)) | ( _u1965 = _u1967) )).
% 57.32/57.52 cnf(matrix-771, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u1974, _u1976), _u1978), _u1980) != hAPP(hAPP(c_Product__Type_OPair(_u1974, _u1976), _u1982), _u1984)) | ( _u1978 = _u1982) )).
% 57.32/57.52 cnf(matrix-772, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u1974, _u1976), _u1978), _u1980) != hAPP(hAPP(c_Product__Type_OPair(_u1974, _u1976), _u1982), _u1984)) | ( _u1980 = _u1984) )).
% 57.32/57.52 cnf(matrix-773, plain, ( ( _u1979 != _u1983) | ( _u1981 != _u1985) | ( hAPP(hAPP(c_Product__Type_OPair(_u1975, _u1977), _u1979), _u1981) = hAPP(hAPP(c_Product__Type_OPair(_u1975, _u1977), _u1983), _u1985)) )).
% 57.32/57.52 cnf(matrix-774, plain, ( ~hBOOL(hAPP(_u1995, skolem95(_u1999, _u1997, _u1995))) | hBOOL(hAPP(_u1995, hAPP(hAPP(c_Product__Type_OPair(_u1997, _u1999), _u1988), _u1987))) )).
% 57.32/57.52 cnf(matrix-775, plain, ( ~hBOOL(hAPP(_u1996, hAPP(hAPP(c_Product__Type_OPair(_u1998, _u2000), skolem96(_u2000, _u1998, _u1996)), skolem97(_u2000, _u1998, _u1996)))) | hBOOL(hAPP(_u1996, _u1991)) )).
% 57.32/57.52 cnf(matrix-776, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2001), _u2002), _u2003)) | ( c_Product__Type_OSigma(_u2004, _u2001, _u2005, c_COMBK(tc_fun(_u2001, tc_HOL_Obool), _u2004, _u2003)) != c_Product__Type_OSigma(_u2004, _u2001, _u2006, c_COMBK(tc_fun(_u2001, tc_HOL_Obool), _u2004, _u2003))) | ( _u2005 = _u2006) )).
% 57.32/57.52 cnf(matrix-777, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2001), _u2002), _u2003)) | ( _u2005 != _u2006) | ( c_Product__Type_OSigma(_u2004, _u2001, _u2005, c_COMBK(tc_fun(_u2001, tc_HOL_Obool), _u2004, _u2003)) = c_Product__Type_OSigma(_u2004, _u2001, _u2006, c_COMBK(tc_fun(_u2001, tc_HOL_Obool), _u2004, _u2003))) )).
% 57.32/57.52 cnf(matrix-778, plain, ( ( c_Product__Type_OSigma(_u2007, _u2008, _u2009, hAPP(hAPP(c_COMBS(_u2007, tc_fun(_u2008, tc_HOL_Obool), tc_fun(_u2008, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2008, tc_HOL_Obool), tc_fun(tc_fun(_u2008, tc_HOL_Obool), tc_fun(_u2008, tc_HOL_Obool)), _u2007, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2008, tc_HOL_Obool))), _u2010)), _u2011)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u2007, _u2008), tc_HOL_Obool)), c_Product__Type_OSigma(_u2007, _u2008, _u2009, _u2010)), c_Product__Type_OSigma(_u2007, _u2008, _u2009, _u2011))) )).
% 57.32/57.52 cnf(matrix-779, plain, ( ( c_Product__Type_OSigma(_u2012, _u2013, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2012, tc_HOL_Obool)), _u2014), _u2015), c_COMBK(tc_fun(_u2013, tc_HOL_Obool), _u2012, _u2016)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u2012, _u2013), tc_HOL_Obool)), c_Product__Type_OSigma(_u2012, _u2013, _u2014, c_COMBK(tc_fun(_u2013, tc_HOL_Obool), _u2012, _u2016))), c_Product__Type_OSigma(_u2012, _u2013, _u2015, c_COMBK(tc_fun(_u2013, tc_HOL_Obool), _u2012, _u2016)))) )).
% 57.32/57.52 cnf(matrix-780, plain, ( ( c_Product__Type_OSigma(_u2017, _u2018, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2017, tc_HOL_Obool)), _u2019), _u2020), _u2021) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u2017, _u2018), tc_HOL_Obool)), c_Product__Type_OSigma(_u2017, _u2018, _u2019, _u2021)), c_Product__Type_OSigma(_u2017, _u2018, _u2020, _u2021))) )).
% 57.32/57.52 cnf(matrix-781, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2028, _u2030)), hAPP(hAPP(c_Product__Type_OPair(_u2028, _u2030), _u2032), _u2034)), c_Product__Type_OSigma(_u2028, _u2030, _u2036, _u2038))) | hBOOL(hAPP(hAPP(c_member(_u2028), _u2032), _u2036)) )).
% 57.32/57.52 cnf(matrix-782, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2028, _u2030)), hAPP(hAPP(c_Product__Type_OPair(_u2028, _u2030), _u2032), _u2034)), c_Product__Type_OSigma(_u2028, _u2030, _u2036, _u2038))) | hBOOL(hAPP(hAPP(c_member(_u2030), _u2034), hAPP(_u2038, _u2032))) )).
% 57.32/57.52 cnf(matrix-783, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2029), _u2033), _u2037)) | ~hBOOL(hAPP(hAPP(c_member(_u2031), _u2035), hAPP(_u2039, _u2033))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2029, _u2031)), hAPP(hAPP(c_Product__Type_OPair(_u2029, _u2031), _u2033), _u2035)), c_Product__Type_OSigma(_u2029, _u2031, _u2037, _u2039))) )).
% 57.32/57.52 cnf(matrix-784, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2040, _u2041)), hAPP(hAPP(c_Product__Type_OPair(_u2040, _u2041), _u2042), _u2043)), c_Product__Type_OSigma(_u2040, _u2041, _u2044, _u2045))) | hBOOL(hAPP(hAPP(c_member(_u2040), _u2042), _u2044)) )).
% 57.32/57.52 cnf(matrix-785, plain, ( hBOOL(hAPP(hAPP(c_member(_u2047), _u2049), hAPP(_u2051, _u2048))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2046, _u2047)), hAPP(hAPP(c_Product__Type_OPair(_u2046, _u2047), _u2048), _u2049)), c_Product__Type_OSigma(_u2046, _u2047, _u2050, _u2051))) )).
% 57.32/57.52 cnf(matrix-786, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2053, _u2053), tc_HOL_Obool), _u2054, c_Product__Type_OSigma(_u2053, _u2053, _u2055, c_COMBK(tc_fun(_u2053, tc_HOL_Obool), _u2053, _u2055))) | c_Relation_Orefl__on(_u2053, _u2055, _u2054) | hBOOL(hAPP(hAPP(c_member(_u2053), skolem98(_u2055, _u2054, _u2053)), _u2055)) )).
% 57.32/57.52 cnf(matrix-787, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2053, _u2053), tc_HOL_Obool), _u2054, c_Product__Type_OSigma(_u2053, _u2053, _u2055, c_COMBK(tc_fun(_u2053, tc_HOL_Obool), _u2053, _u2055))) | c_Relation_Orefl__on(_u2053, _u2055, _u2054) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2053, _u2053)), hAPP(hAPP(c_Product__Type_OPair(_u2053, _u2053), skolem98(_u2055, _u2054, _u2053)), skolem98(_u2055, _u2054, _u2053))), _u2054)) )).
% 57.32/57.52 cnf(matrix-788, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u2056, _u2057, _u2058, _u2059, hAPP(hAPP(c_Product__Type_OPair(_u2056, _u2057), _u2060), _u2061)) = hAPP(hAPP(_u2059, _u2060), _u2061)) )).
% 57.32/57.52 cnf(matrix-789, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2064, _u2065)), _u2066), c_Product__Type_OSigma(_u2064, _u2065, _u2067, _u2068))) | hBOOL(hAPP(hAPP(c_member(_u2064), skolem99(_u2068, _u2067, _u2066, _u2065, _u2064)), _u2067)) )).
% 57.32/57.52 cnf(matrix-790, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2064, _u2065)), _u2066), c_Product__Type_OSigma(_u2064, _u2065, _u2067, _u2068))) | hBOOL(hAPP(hAPP(c_member(_u2065), skolem100(_u2068, _u2067, _u2066, _u2065, _u2064)), hAPP(_u2068, skolem99(_u2068, _u2067, _u2066, _u2065, _u2064)))) )).
% 57.32/57.52 cnf(matrix-791, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2064, _u2065)), _u2066), c_Product__Type_OSigma(_u2064, _u2065, _u2067, _u2068))) | ( _u2066 = hAPP(hAPP(c_Product__Type_OPair(_u2064, _u2065), skolem99(_u2068, _u2067, _u2066, _u2065, _u2064)), skolem100(_u2068, _u2067, _u2066, _u2065, _u2064))) )).
% 57.32/57.52 cnf(matrix-792, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2070, tc_HOL_Obool), _u2071, _u2072) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2070, _u2073), tc_HOL_Obool), c_Product__Type_OSigma(_u2070, _u2073, _u2071, _u2074), c_Product__Type_OSigma(_u2070, _u2073, _u2072, _u2075)) | hBOOL(hAPP(hAPP(c_member(_u2070), skolem101(_u2075, _u2074, _u2073, _u2072, _u2071, _u2070)), _u2071)) )).
% 57.32/57.52 cnf(matrix-793, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2070, tc_HOL_Obool), _u2071, _u2072) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2070, _u2073), tc_HOL_Obool), c_Product__Type_OSigma(_u2070, _u2073, _u2071, _u2074), c_Product__Type_OSigma(_u2070, _u2073, _u2072, _u2075)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2073, tc_HOL_Obool), hAPP(_u2074, skolem101(_u2075, _u2074, _u2073, _u2072, _u2071, _u2070)), hAPP(_u2075, skolem101(_u2075, _u2074, _u2073, _u2072, _u2071, _u2070))) )).
% 57.32/57.52 cnf(matrix-794, plain, ( ( c_Product__Type_Ointernal__split(_u2076, _u2077, _u2078, _u2079, hAPP(hAPP(c_Product__Type_OPair(_u2076, _u2077), _u2080), _u2081)) = hAPP(hAPP(_u2079, _u2080), _u2081)) )).
% 57.32/57.52 cnf(matrix-795, plain, ( ( c_Product__Type_OSigma(_u2082, _u2083, c_Set_Oinsert(_u2082, _u2084, _u2085), c_COMBK(tc_fun(_u2083, tc_HOL_Obool), _u2082, c_Set_Oinsert(_u2083, _u2086, _u2087))) = c_Set_Oinsert(tc_prod(_u2082, _u2083), hAPP(hAPP(c_Product__Type_OPair(_u2082, _u2083), _u2084), _u2086), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2082, _u2083), tc_HOL_Obool)), c_Product__Type_OSigma(_u2082, _u2083, _u2085, c_COMBK(tc_fun(_u2083, tc_HOL_Obool), _u2082, c_Set_Oinsert(_u2083, _u2086, _u2087)))), c_Product__Type_OSigma(_u2082, _u2083, c_Set_Oinsert(_u2082, _u2084, _u2085), c_COMBK(tc_fun(_u2083, tc_HOL_Obool), _u2082, _u2087))))) )).
% 57.32/57.52 cnf(matrix-796, plain, ( hBOOL(hAPP(_u2089, _u2091)) | hBOOL(hAPP(_u2090, _u2091)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2088, tc_HOL_Obool)), _u2089), _u2090), _u2091)) )).
% 57.32/57.52 cnf(matrix-797, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2095, tc_HOL_Obool)), _u2094), _u2092), _u2093)) | ~hBOOL(hAPP(_u2092, _u2093)) )).
% 57.32/57.52 cnf(matrix-798, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2095, tc_HOL_Obool)), _u2094), _u2092), _u2093)) | ~hBOOL(hAPP(_u2094, _u2093)) )).
% 57.32/57.52 cnf(matrix-799, plain, ( hBOOL(hAPP(hAPP(c_member(_u2096), _u2097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2096, tc_HOL_Obool)), _u2099), _u2098))) | ~hBOOL(hAPP(hAPP(c_member(_u2096), _u2097), _u2098)) )).
% 57.32/57.52 cnf(matrix-800, plain, ( hBOOL(hAPP(hAPP(c_member(_u2096), _u2097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2096, tc_HOL_Obool)), _u2099), _u2098))) | ~hBOOL(hAPP(hAPP(c_member(_u2096), _u2097), _u2099)) )).
% 57.32/57.52 cnf(matrix-801, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2100), _u2101), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2100, tc_HOL_Obool)), _u2102), _u2103))) | hBOOL(hAPP(hAPP(c_member(_u2100), _u2101), _u2102)) | hBOOL(hAPP(hAPP(c_member(_u2100), _u2101), _u2103)) )).
% 57.32/57.52 cnf(matrix-802, plain, ( ( c_Product__Type_OSigma(_u2104, _u2105, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2104, tc_HOL_Obool)), _u2106), _u2107), _u2108) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2104, _u2105), tc_HOL_Obool)), c_Product__Type_OSigma(_u2104, _u2105, _u2106, _u2108)), c_Product__Type_OSigma(_u2104, _u2105, _u2107, _u2108))) )).
% 57.32/57.52 cnf(matrix-803, plain, ( ( c_Product__Type_OSigma(_u2109, _u2110, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2109, tc_HOL_Obool)), _u2111), _u2112), c_COMBK(tc_fun(_u2110, tc_HOL_Obool), _u2109, _u2113)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2109, _u2110), tc_HOL_Obool)), c_Product__Type_OSigma(_u2109, _u2110, _u2111, c_COMBK(tc_fun(_u2110, tc_HOL_Obool), _u2109, _u2113))), c_Product__Type_OSigma(_u2109, _u2110, _u2112, c_COMBK(tc_fun(_u2110, tc_HOL_Obool), _u2109, _u2113)))) )).
% 57.32/57.52 cnf(matrix-804, plain, ( ( c_Product__Type_OSigma(_u2114, _u2115, _u2116, hAPP(hAPP(c_COMBS(_u2114, tc_fun(_u2115, tc_HOL_Obool), tc_fun(_u2115, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2115, tc_HOL_Obool), tc_fun(tc_fun(_u2115, tc_HOL_Obool), tc_fun(_u2115, tc_HOL_Obool)), _u2114, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2115, tc_HOL_Obool))), _u2117)), _u2118)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2114, _u2115), tc_HOL_Obool)), c_Product__Type_OSigma(_u2114, _u2115, _u2116, _u2117)), c_Product__Type_OSigma(_u2114, _u2115, _u2116, _u2118))) )).
% 57.32/57.52 cnf(matrix-805, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2119, _u2119), tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2119, _u2119), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u2119, _u2120)), c_Transitive__Closure_Ortrancl(_u2119, _u2121)), c_Transitive__Closure_Ortrancl(_u2119, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2119, _u2119), tc_HOL_Obool)), _u2120), _u2121))) )).
% 57.32/57.52 cnf(matrix-806, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2122, tc_HOL_Obool), _u2123, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2122, tc_HOL_Obool)), _u2123), _u2124)) )).
% 57.32/57.52 cnf(matrix-807, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2125, tc_HOL_Obool), _u2126, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2125, tc_HOL_Obool)), _u2127), _u2126)) )).
% 57.32/57.52 cnf(matrix-808, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2131, tc_HOL_Obool), _u2133, _u2135) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2131, tc_HOL_Obool)), _u2133), _u2135) = _u2135) )).
% 57.32/57.52 cnf(matrix-809, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2132, tc_HOL_Obool)), _u2134), _u2136) != _u2136) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2132, tc_HOL_Obool), _u2134, _u2136) )).
% 57.32/57.52 cnf(matrix-810, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2137, tc_HOL_Obool), _u2138, _u2139) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2137, tc_HOL_Obool)), _u2138), _u2139) = _u2139) )).
% 57.32/57.52 cnf(matrix-811, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2140, tc_HOL_Obool), _u2141, _u2142) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2140, tc_HOL_Obool)), _u2142), _u2141) = _u2142) )).
% 57.32/57.52 cnf(matrix-812, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2143, tc_HOL_Obool), _u2144, _u2145) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2143, tc_HOL_Obool), _u2146, _u2145) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2143, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2143, tc_HOL_Obool)), _u2144), _u2146), _u2145) )).
% 57.32/57.52 cnf(matrix-813, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2147, tc_HOL_Obool), _u2148, _u2149) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2147, tc_HOL_Obool), _u2150, _u2151) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2147, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2147, tc_HOL_Obool)), _u2148), _u2150), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2147, tc_HOL_Obool)), _u2149), _u2151)) )).
% 57.32/57.52 cnf(matrix-814, plain, ( ~class_Lattices_Olattice(_u2152) | c_Orderings_Oord__class_Oless__eq(_u2152, _u2153, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2152), _u2153), _u2154)) )).
% 57.32/57.52 cnf(matrix-815, plain, ( ~class_Lattices_Osemilattice__sup(_u2155) | c_Orderings_Oord__class_Oless__eq(_u2155, _u2156, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2155), _u2156), _u2157)) )).
% 57.32/57.52 cnf(matrix-816, plain, ( ~class_Lattices_Olattice(_u2158) | c_Orderings_Oord__class_Oless__eq(_u2158, _u2159, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2158), _u2160), _u2159)) )).
% 57.32/57.52 cnf(matrix-817, plain, ( ~class_Lattices_Osemilattice__sup(_u2161) | c_Orderings_Oord__class_Oless__eq(_u2161, _u2162, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2161), _u2163), _u2162)) )).
% 57.32/57.52 cnf(matrix-818, plain, ( ~class_Lattices_Osemilattice__sup(_u2164) | ~c_Orderings_Oord__class_Oless__eq(_u2164, _u2165, _u2166) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2164), _u2165), _u2166) = _u2166) )).
% 57.32/57.52 cnf(matrix-819, plain, ( ~class_Lattices_Osemilattice__sup(_u2164) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2164), _u2165), _u2166) != _u2166) | c_Orderings_Oord__class_Oless__eq(_u2164, _u2165, _u2166) )).
% 57.32/57.52 cnf(matrix-820, plain, ( ~class_Lattices_Osemilattice__sup(_u2167) | ~c_Orderings_Oord__class_Oless__eq(_u2167, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2167), _u2168), _u2169), _u2170) | c_Orderings_Oord__class_Oless__eq(_u2167, _u2168, _u2170) )).
% 57.32/57.52 cnf(matrix-821, plain, ( ~class_Lattices_Osemilattice__sup(_u2167) | ~c_Orderings_Oord__class_Oless__eq(_u2167, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2167), _u2168), _u2169), _u2170) | c_Orderings_Oord__class_Oless__eq(_u2167, _u2169, _u2170) )).
% 57.32/57.52 cnf(matrix-822, plain, ( ~class_Lattices_Osemilattice__sup(_u2167) | ~c_Orderings_Oord__class_Oless__eq(_u2167, _u2168, _u2170) | ~c_Orderings_Oord__class_Oless__eq(_u2167, _u2169, _u2170) | c_Orderings_Oord__class_Oless__eq(_u2167, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2167), _u2168), _u2169), _u2170) )).
% 57.32/57.52 cnf(matrix-823, plain, ( ~class_Lattices_Osemilattice__sup(_u2171) | ~c_Orderings_Oord__class_Oless__eq(_u2171, _u2172, _u2173) | c_Orderings_Oord__class_Oless__eq(_u2171, _u2172, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2171), _u2173), _u2174)) )).
% 57.32/57.52 cnf(matrix-824, plain, ( ~class_Lattices_Osemilattice__sup(_u2175) | ~c_Orderings_Oord__class_Oless__eq(_u2175, _u2176, _u2177) | c_Orderings_Oord__class_Oless__eq(_u2175, _u2176, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2175), _u2178), _u2177)) )).
% 57.32/57.52 cnf(matrix-825, plain, ( ~class_Lattices_Osemilattice__sup(_u2179) | ~c_Orderings_Oord__class_Oless__eq(_u2179, _u2180, _u2181) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2179), _u2180), _u2181) = _u2181) )).
% 57.32/57.52 cnf(matrix-826, plain, ( ~class_Lattices_Osemilattice__sup(_u2182) | ~c_Orderings_Oord__class_Oless__eq(_u2182, _u2183, _u2184) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2182), _u2184), _u2183) = _u2184) )).
% 57.32/57.52 cnf(matrix-827, plain, ( ~class_Lattices_Osemilattice__sup(_u2185) | ~c_Orderings_Oord__class_Oless__eq(_u2185, _u2186, _u2187) | ~c_Orderings_Oord__class_Oless__eq(_u2185, _u2188, _u2187) | c_Orderings_Oord__class_Oless__eq(_u2185, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2185), _u2186), _u2188), _u2187) )).
% 57.32/57.52 cnf(matrix-828, plain, ( ~class_Lattices_Osemilattice__sup(_u2189) | ~c_Orderings_Oord__class_Oless__eq(_u2189, _u2190, _u2191) | ~c_Orderings_Oord__class_Oless__eq(_u2189, _u2192, _u2191) | c_Orderings_Oord__class_Oless__eq(_u2189, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2189), _u2190), _u2192), _u2191) )).
% 57.32/57.52 cnf(matrix-829, plain, ( ~class_Lattices_Osemilattice__sup(_u2193) | ~c_Orderings_Oord__class_Oless__eq(_u2193, _u2194, _u2195) | ~c_Orderings_Oord__class_Oless__eq(_u2193, _u2196, _u2197) | c_Orderings_Oord__class_Oless__eq(_u2193, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2193), _u2194), _u2196), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2193), _u2195), _u2197)) )).
% 57.32/57.52 cnf(matrix-830, plain, ( ~class_Lattices_Osemilattice__sup(_u2198) | ~c_Orderings_Oord__class_Oless__eq(_u2198, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2198), _u2199), _u2200), _u2201) | c_Orderings_Oord__class_Oless__eq(_u2198, _u2199, _u2201) )).
% 57.32/57.52 cnf(matrix-831, plain, ( ~class_Lattices_Osemilattice__sup(_u2198) | ~c_Orderings_Oord__class_Oless__eq(_u2198, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2198), _u2199), _u2200), _u2201) | c_Orderings_Oord__class_Oless__eq(_u2198, _u2200, _u2201) )).
% 57.32/57.52 cnf(matrix-832, plain, ( ~class_Lattices_Olattice(_u2202) | c_Orderings_Oord__class_Oless__eq(_u2202, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2202), _u2203), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2202), _u2204), _u2205)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2202), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2202), _u2203), _u2204)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2202), _u2203), _u2205))) )).
% 57.32/57.52 cnf(matrix-833, plain, ( ~class_Lattices_Olattice(_u2206) | c_Orderings_Oord__class_Oless__eq(_u2206, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2206), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2206), _u2207), _u2208)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2206), _u2207), _u2209)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2206), _u2207), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2206), _u2208), _u2209))) )).
% 57.32/57.52 cnf(matrix-834, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2214, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2214, tc_fun(_u2214, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2214)), _u2216)), hAPP(hAPP(c_COMBC(_u2214, tc_fun(_u2214, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2214)), _u2218)), _u2220)) | hBOOL(hAPP(hAPP(c_member(_u2214), _u2220), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2214, tc_HOL_Obool)), _u2216), _u2218))) )).
% 57.32/57.52 cnf(matrix-835, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2215), _u2221), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2215, tc_HOL_Obool)), _u2217), _u2219))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2215, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2215, tc_fun(_u2215, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2215)), _u2217)), hAPP(hAPP(c_COMBC(_u2215, tc_fun(_u2215, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2215)), _u2219)), _u2221)) )).
% 57.32/57.52 cnf(matrix-836, plain, ( ( c_Transitive__Closure_Ortrancl(_u2222, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2222, _u2222), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u2222, _u2223)), c_Transitive__Closure_Ortrancl(_u2222, _u2224))) = c_Transitive__Closure_Ortrancl(_u2222, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2222, _u2222), tc_HOL_Obool)), _u2223), _u2224))) )).
% 57.32/57.52 cnf(matrix-837, plain, ( ~c_Relation_Orefl__on(_u2225, _u2226, _u2227) | ~c_Relation_Orefl__on(_u2225, _u2228, _u2229) | c_Relation_Orefl__on(_u2225, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2225, tc_HOL_Obool)), _u2226), _u2228), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2225, _u2225), tc_HOL_Obool)), _u2227), _u2229)) )).
% 57.32/57.52 cnf(matrix-838, plain, ( ~class_Lattices_Odistrib__lattice(_u2230) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2230), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2230), _u2231), _u2232)), _u2233) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2230), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2230), _u2231), _u2233)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2230), _u2232), _u2233))) )).
% 57.32/57.52 cnf(matrix-839, plain, ( ~class_Lattices_Odistrib__lattice(_u2234) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2234), _u2235), _u2236)), _u2237) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2234), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2234), _u2235), _u2237)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2234), _u2236), _u2237))) )).
% 57.32/57.52 cnf(matrix-840, plain, ( ~class_Lattices_Odistrib__lattice(_u2238) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2238), _u2239), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2238), _u2240), _u2241)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2238), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2238), _u2239), _u2240)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2238), _u2239), _u2241))) )).
% 57.32/57.52 cnf(matrix-841, plain, ( ~class_Lattices_Odistrib__lattice(_u2242) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2242), _u2243), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2242), _u2244), _u2245)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2242), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2242), _u2243), _u2244)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2242), _u2243), _u2245))) )).
% 57.32/57.52 cnf(matrix-842, plain, ( ~class_Lattices_Olattice(_u2246) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2246), _u2247), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2246), _u2247), _u2248)) = _u2247) )).
% 57.32/57.52 cnf(matrix-843, plain, ( ~class_Lattices_Olattice(_u2249) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2249), _u2250), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2249), _u2250), _u2251)) = _u2250) )).
% 57.32/57.52 cnf(matrix-844, plain, ( ( c_Relation_ORange(_u2252, _u2253, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2252, _u2253), tc_HOL_Obool)), _u2254), _u2255)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2253, tc_HOL_Obool)), c_Relation_ORange(_u2252, _u2253, _u2254)), c_Relation_ORange(_u2252, _u2253, _u2255))) )).
% 57.32/57.52 cnf(matrix-845, plain, ( ~hBOOL(hAPP(_u2256, _u2257)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2258, tc_HOL_Obool)), _u2256), _u2259), _u2257)) )).
% 57.32/57.52 cnf(matrix-846, plain, ( ~hBOOL(hAPP(_u2260, _u2261)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2262, tc_HOL_Obool)), _u2263), _u2260), _u2261)) )).
% 57.32/57.52 cnf(matrix-847, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2264, tc_HOL_Obool)), _u2265), _u2265) = _u2265) )).
% 57.32/57.52 cnf(matrix-848, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2266, tc_HOL_Obool)), _u2267), _u2268) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2266, tc_HOL_Obool)), _u2268), _u2267)) )).
% 57.32/57.52 cnf(matrix-849, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2269, tc_HOL_Obool)), _u2270), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2269, tc_HOL_Obool)), _u2270), _u2271)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2269, tc_HOL_Obool)), _u2270), _u2271)) )).
% 57.32/57.52 cnf(matrix-850, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2272, tc_HOL_Obool)), _u2273), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2272, tc_HOL_Obool)), _u2274), _u2275)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2272, tc_HOL_Obool)), _u2274), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2272, tc_HOL_Obool)), _u2273), _u2275))) )).
% 57.32/57.52 cnf(matrix-851, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2276, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2276, tc_HOL_Obool)), _u2277), _u2278)), _u2279) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2276, tc_HOL_Obool)), _u2277), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2276, tc_HOL_Obool)), _u2278), _u2279))) )).
% 57.32/57.52 cnf(matrix-852, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2290), _u2280), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2290, tc_HOL_Obool)), _u2292), _u2294))) | ~hBOOL(hAPP(_u2296, _u2280)) | hBOOL(hAPP(hAPP(c_member(_u2290), skolem102(_u2296, _u2294, _u2292, _u2290)), _u2292)) | hBOOL(hAPP(hAPP(c_member(_u2290), skolem103(_u2296, _u2294, _u2292, _u2290)), _u2294)) )).
% 57.32/57.52 cnf(matrix-853, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2290), _u2280), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2290, tc_HOL_Obool)), _u2292), _u2294))) | ~hBOOL(hAPP(_u2296, _u2280)) | hBOOL(hAPP(hAPP(c_member(_u2290), skolem102(_u2296, _u2294, _u2292, _u2290)), _u2292)) | hBOOL(hAPP(_u2296, skolem103(_u2296, _u2294, _u2292, _u2290))) )).
% 57.32/57.52 cnf(matrix-854, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2290), _u2280), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2290, tc_HOL_Obool)), _u2292), _u2294))) | ~hBOOL(hAPP(_u2296, _u2280)) | hBOOL(hAPP(_u2296, skolem102(_u2296, _u2294, _u2292, _u2290))) | hBOOL(hAPP(hAPP(c_member(_u2290), skolem103(_u2296, _u2294, _u2292, _u2290)), _u2294)) )).
% 57.32/57.52 cnf(matrix-855, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2290), _u2280), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2290, tc_HOL_Obool)), _u2292), _u2294))) | ~hBOOL(hAPP(_u2296, _u2280)) | hBOOL(hAPP(_u2296, skolem102(_u2296, _u2294, _u2292, _u2290))) | hBOOL(hAPP(_u2296, skolem103(_u2296, _u2294, _u2292, _u2290))) )).
% 57.32/57.52 cnf(matrix-856, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2291), _u2283), _u2293)) | ~hBOOL(hAPP(_u2297, _u2283)) | hBOOL(hAPP(hAPP(c_member(_u2291), skolem104(_u2297, _u2295, _u2293, _u2291)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2291, tc_HOL_Obool)), _u2293), _u2295))) )).
% 57.32/57.52 cnf(matrix-857, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2291), _u2283), _u2293)) | ~hBOOL(hAPP(_u2297, _u2283)) | hBOOL(hAPP(_u2297, skolem104(_u2297, _u2295, _u2293, _u2291))) )).
% 57.32/57.52 cnf(matrix-858, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2291), _u2284), _u2295)) | ~hBOOL(hAPP(_u2297, _u2284)) | hBOOL(hAPP(hAPP(c_member(_u2291), skolem104(_u2297, _u2295, _u2293, _u2291)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2291, tc_HOL_Obool)), _u2293), _u2295))) )).
% 57.32/57.52 cnf(matrix-859, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2291), _u2284), _u2295)) | ~hBOOL(hAPP(_u2297, _u2284)) | hBOOL(hAPP(_u2297, skolem104(_u2297, _u2295, _u2293, _u2291))) )).
% 57.32/57.52 cnf(matrix-860, plain, ( hBOOL(hAPP(hAPP(c_member(_u2308), skolem105(_u2314, _u2312, _u2310, _u2308)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2308, tc_HOL_Obool)), _u2310), _u2312))) | ~hBOOL(hAPP(hAPP(c_member(_u2308), _u2299), _u2310)) | hBOOL(hAPP(_u2314, _u2299)) )).
% 57.32/57.52 cnf(matrix-861, plain, ( hBOOL(hAPP(hAPP(c_member(_u2308), skolem105(_u2314, _u2312, _u2310, _u2308)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2308, tc_HOL_Obool)), _u2310), _u2312))) | ~hBOOL(hAPP(hAPP(c_member(_u2308), _u2300), _u2312)) | hBOOL(hAPP(_u2314, _u2300)) )).
% 57.32/57.52 cnf(matrix-862, plain, ( ~hBOOL(hAPP(_u2314, skolem105(_u2314, _u2312, _u2310, _u2308))) | ~hBOOL(hAPP(hAPP(c_member(_u2308), _u2299), _u2310)) | hBOOL(hAPP(_u2314, _u2299)) )).
% 57.32/57.52 cnf(matrix-863, plain, ( ~hBOOL(hAPP(_u2314, skolem105(_u2314, _u2312, _u2310, _u2308))) | ~hBOOL(hAPP(hAPP(c_member(_u2308), _u2300), _u2312)) | hBOOL(hAPP(_u2314, _u2300)) )).
% 57.32/57.52 cnf(matrix-864, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2309), _u2303), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2309, tc_HOL_Obool)), _u2311), _u2313))) | hBOOL(hAPP(_u2315, _u2303)) | hBOOL(hAPP(hAPP(c_member(_u2309), skolem106(_u2315, _u2313, _u2311, _u2309)), _u2311)) | hBOOL(hAPP(hAPP(c_member(_u2309), skolem107(_u2315, _u2313, _u2311, _u2309)), _u2313)) )).
% 57.32/57.52 cnf(matrix-865, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2309), _u2303), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2309, tc_HOL_Obool)), _u2311), _u2313))) | hBOOL(hAPP(_u2315, _u2303)) | hBOOL(hAPP(hAPP(c_member(_u2309), skolem106(_u2315, _u2313, _u2311, _u2309)), _u2311)) | ~hBOOL(hAPP(_u2315, skolem107(_u2315, _u2313, _u2311, _u2309))) )).
% 57.32/57.52 cnf(matrix-866, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2309), _u2303), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2309, tc_HOL_Obool)), _u2311), _u2313))) | hBOOL(hAPP(_u2315, _u2303)) | ~hBOOL(hAPP(_u2315, skolem106(_u2315, _u2313, _u2311, _u2309))) | hBOOL(hAPP(hAPP(c_member(_u2309), skolem107(_u2315, _u2313, _u2311, _u2309)), _u2313)) )).
% 57.32/57.52 cnf(matrix-867, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2309), _u2303), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2309, tc_HOL_Obool)), _u2311), _u2313))) | hBOOL(hAPP(_u2315, _u2303)) | ~hBOOL(hAPP(_u2315, skolem106(_u2315, _u2313, _u2311, _u2309))) | ~hBOOL(hAPP(_u2315, skolem107(_u2315, _u2313, _u2311, _u2309))) )).
% 57.32/57.52 cnf(matrix-868, plain, ( ~class_Lattices_Osemilattice__sup(_u2316) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2316), _u2317), _u2317) = _u2317) )).
% 57.32/57.52 cnf(matrix-869, plain, ( ~class_Lattices_Osemilattice__sup(_u2318) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2318), _u2319), _u2319) = _u2319) )).
% 57.32/57.52 cnf(matrix-870, plain, ( ~class_Lattices_Osemilattice__sup(_u2320) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2320), _u2321), _u2322) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2320), _u2322), _u2321)) )).
% 57.32/57.52 cnf(matrix-871, plain, ( ~class_Lattices_Olattice(_u2323) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2323), _u2324), _u2325) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2323), _u2325), _u2324)) )).
% 57.32/57.52 cnf(matrix-872, plain, ( ~class_Lattices_Osemilattice__sup(_u2326) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2326), _u2327), _u2328) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2326), _u2328), _u2327)) )).
% 57.32/57.52 cnf(matrix-873, plain, ( ~class_Lattices_Osemilattice__sup(_u2329) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2329), _u2330), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2329), _u2330), _u2331)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2329), _u2330), _u2331)) )).
% 57.32/57.52 cnf(matrix-874, plain, ( ~class_Lattices_Olattice(_u2332) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2332), _u2333), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2332), _u2333), _u2334)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2332), _u2333), _u2334)) )).
% 57.32/57.52 cnf(matrix-875, plain, ( ~class_Lattices_Osemilattice__sup(_u2335) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2335), _u2336), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2335), _u2336), _u2337)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2335), _u2336), _u2337)) )).
% 57.32/57.52 cnf(matrix-876, plain, ( ~class_Lattices_Osemilattice__sup(_u2338) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2338), _u2339), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2338), _u2340), _u2341)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2338), _u2340), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2338), _u2339), _u2341))) )).
% 57.32/57.52 cnf(matrix-877, plain, ( ~class_Lattices_Olattice(_u2342) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2342), _u2343), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2342), _u2344), _u2345)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2342), _u2344), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2342), _u2343), _u2345))) )).
% 57.32/57.52 cnf(matrix-878, plain, ( ~class_Lattices_Osemilattice__sup(_u2346) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2346), _u2347), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2346), _u2348), _u2349)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2346), _u2348), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2346), _u2347), _u2349))) )).
% 57.32/57.52 cnf(matrix-879, plain, ( ~class_Lattices_Osemilattice__sup(_u2350) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2350), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2350), _u2351), _u2352)), _u2353) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2350), _u2351), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2350), _u2352), _u2353))) )).
% 57.32/57.52 cnf(matrix-880, plain, ( ~class_Lattices_Olattice(_u2354) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2354), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2354), _u2355), _u2356)), _u2357) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2354), _u2355), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2354), _u2356), _u2357))) )).
% 57.32/57.52 cnf(matrix-881, plain, ( ~class_Lattices_Osemilattice__sup(_u2358) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2358), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2358), _u2359), _u2360)), _u2361) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2358), _u2359), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2358), _u2360), _u2361))) )).
% 57.32/57.52 cnf(matrix-882, plain, ( ~class_Lattices_Olattice(_u2362) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2363, _u2362)), _u2364), _u2365), _u2366) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2362), hAPP(_u2364, _u2366)), hAPP(_u2365, _u2366))) )).
% 57.32/57.52 cnf(matrix-883, plain, ( ~class_Lattices_Olattice(_u2367) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2368, _u2367)), _u2369), _u2370), _u2371) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2367), hAPP(_u2369, _u2371)), hAPP(_u2370, _u2371))) )).
% 57.32/57.52 cnf(matrix-884, plain, ( ( c_Relation_ODomain(_u2372, _u2373, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2372, _u2373), tc_HOL_Obool)), _u2374), _u2375)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2372, tc_HOL_Obool)), c_Relation_ODomain(_u2372, _u2373, _u2374)), c_Relation_ODomain(_u2372, _u2373, _u2375))) )).
% 57.32/57.52 cnf(matrix-885, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2376, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2376, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), _u2377), _u2378)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), _u2378), _u2379))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), _u2379), _u2377)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2376, tc_HOL_Obool)), _u2377), _u2378)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2376, tc_HOL_Obool)), _u2378), _u2379))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2376, tc_HOL_Obool)), _u2379), _u2377))) )).
% 57.32/57.52 cnf(matrix-886, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2380, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2380, tc_HOL_Obool)), _u2381), _u2382)), _u2383) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2380, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2380, tc_HOL_Obool)), _u2381), _u2383)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2380, tc_HOL_Obool)), _u2382), _u2383))) )).
% 57.32/57.52 cnf(matrix-887, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2384, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2384, tc_HOL_Obool)), _u2385), _u2386)), _u2387) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2384, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2384, tc_HOL_Obool)), _u2385), _u2387)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2384, tc_HOL_Obool)), _u2386), _u2387))) )).
% 57.32/57.52 cnf(matrix-888, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2388, tc_HOL_Obool)), _u2389), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2388, tc_HOL_Obool)), _u2390), _u2391)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2388, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2388, tc_HOL_Obool)), _u2389), _u2390)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2388, tc_HOL_Obool)), _u2389), _u2391))) )).
% 57.32/57.52 cnf(matrix-889, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2392, tc_HOL_Obool)), _u2393), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2392, tc_HOL_Obool)), _u2394), _u2395)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2392, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2392, tc_HOL_Obool)), _u2393), _u2394)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2392, tc_HOL_Obool)), _u2393), _u2395))) )).
% 57.32/57.52 cnf(matrix-890, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2396), _u2397), _u2398)) | hBOOL(hAPP(hAPP(c_member(_u2396), _u2397), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2396, tc_HOL_Obool)), _u2399), _u2398))) )).
% 57.32/57.52 cnf(matrix-891, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2400), _u2401), _u2402)) | hBOOL(hAPP(hAPP(c_member(_u2400), _u2401), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2400, tc_HOL_Obool)), _u2402), _u2403))) )).
% 57.32/57.52 cnf(matrix-892, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2408), _u2410), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2408, tc_HOL_Obool)), _u2412), _u2414))) | hBOOL(hAPP(hAPP(c_member(_u2408), _u2410), _u2412)) | hBOOL(hAPP(hAPP(c_member(_u2408), _u2410), _u2414)) )).
% 57.32/57.52 cnf(matrix-893, plain, ( hBOOL(hAPP(hAPP(c_member(_u2409), _u2411), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2409, tc_HOL_Obool)), _u2413), _u2415))) | ~hBOOL(hAPP(hAPP(c_member(_u2409), _u2411), _u2413)) )).
% 57.32/57.52 cnf(matrix-894, plain, ( hBOOL(hAPP(hAPP(c_member(_u2409), _u2411), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2409, tc_HOL_Obool)), _u2413), _u2415))) | ~hBOOL(hAPP(hAPP(c_member(_u2409), _u2411), _u2415)) )).
% 57.32/57.52 cnf(matrix-895, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2416, tc_HOL_Obool)), _u2417), c_Set_Oinsert(_u2416, _u2418, _u2419)) = c_Set_Oinsert(_u2416, _u2418, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2416, tc_HOL_Obool)), _u2417), _u2419))) )).
% 57.32/57.52 cnf(matrix-896, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2420, tc_HOL_Obool)), c_Set_Oinsert(_u2420, _u2421, _u2422)), _u2423) = c_Set_Oinsert(_u2420, _u2421, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2420, tc_HOL_Obool)), _u2422), _u2423))) )).
% 57.32/57.52 cnf(matrix-897, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2428, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2428, tc_HOL_Obool)), _u2430), _u2432)), _u2434) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2428, tc_HOL_Obool)), _u2430), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2428, tc_HOL_Obool)), _u2432), _u2434))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2428, tc_HOL_Obool), _u2434, _u2430) )).
% 57.32/57.52 cnf(matrix-898, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2429, tc_HOL_Obool), _u2435, _u2431) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2429, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2429, tc_HOL_Obool)), _u2431), _u2433)), _u2435) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2429, tc_HOL_Obool)), _u2431), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2429, tc_HOL_Obool)), _u2433), _u2435))) )).
% 57.32/57.52 cnf(matrix-899, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u2436, _u2436)), _u2437), c_Transitive__Closure_Ortrancl(_u2436, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2436, _u2436), tc_HOL_Obool)), _u2438), _u2439)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2436, _u2436)), _u2437), c_Transitive__Closure_Ortrancl(_u2436, _u2438))) )).
% 57.32/57.52 cnf(matrix-900, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u2436, _u2436)), _u2437), c_Transitive__Closure_Ortrancl(_u2436, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2436, _u2436), tc_HOL_Obool)), _u2438), _u2439)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2436, _u2436)), _u2437), c_Transitive__Closure_Ortrancl(_u2436, _u2439))) )).
% 57.32/57.52 cnf(matrix-901, plain, ( ~c_Wellfounded_Owf(_u2440, _u2441) | ~c_Wellfounded_Owf(_u2440, _u2442) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2440, tc_HOL_Obool)), c_Relation_ODomain(_u2440, _u2440, _u2441)), c_Relation_ORange(_u2440, _u2440, _u2442)) != c_Orderings_Obot__class_Obot(tc_fun(_u2440, tc_HOL_Obool))) | c_Wellfounded_Owf(_u2440, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2440, _u2440), tc_HOL_Obool)), _u2441), _u2442)) )).
% 57.32/57.52 cnf(matrix-902, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2445, _u2445), tc_HOL_Obool)), _u2448), _u2449)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, _u2448))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), skolem108(_u2449, _u2448, _u2447, _u2446, _u2445)), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, _u2448))) )).
% 57.32/57.52 cnf(matrix-903, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2445, _u2445), tc_HOL_Obool)), _u2448), _u2449)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, _u2448))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), skolem109(_u2449, _u2448, _u2447, _u2446, _u2445)), skolem108(_u2449, _u2448, _u2447, _u2446, _u2445))), _u2449)) )).
% 57.32/57.52 cnf(matrix-904, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2445, _u2445), tc_HOL_Obool)), _u2448), _u2449)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2445, _u2445)), hAPP(hAPP(c_Product__Type_OPair(_u2445, _u2445), _u2446), _u2447)), c_Transitive__Closure_Ortrancl(_u2445, _u2448))) | ( skolem109(_u2449, _u2448, _u2447, _u2446, _u2445) != skolem108(_u2449, _u2448, _u2447, _u2446, _u2445)) )).
% 57.32/57.52 cnf(matrix-905, plain, ( c_Wellfounded_Owf(_u2450, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2450, _u2450), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-906, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2451), _u2452), c_Orderings_Obot__class_Obot(tc_fun(_u2451, tc_HOL_Obool)))) )).
% 57.32/57.52 cnf(matrix-907, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2453, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_u2453, tc_HOL_Obool)), _u2454) )).
% 57.32/57.52 cnf(matrix-908, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2455, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2455, tc_HOL_Obool))), _u2456) = _u2456) )).
% 57.32/57.52 cnf(matrix-909, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2457, tc_HOL_Obool)), _u2458), c_Orderings_Obot__class_Obot(tc_fun(_u2457, tc_HOL_Obool))) = _u2458) )).
% 57.32/57.52 cnf(matrix-910, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2462, tc_HOL_Obool)), _u2464), _u2466) != c_Orderings_Obot__class_Obot(tc_fun(_u2462, tc_HOL_Obool))) | ( _u2464 = c_Orderings_Obot__class_Obot(tc_fun(_u2462, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-911, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2462, tc_HOL_Obool)), _u2464), _u2466) != c_Orderings_Obot__class_Obot(tc_fun(_u2462, tc_HOL_Obool))) | ( _u2466 = c_Orderings_Obot__class_Obot(tc_fun(_u2462, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-912, plain, ( ( _u2465 != c_Orderings_Obot__class_Obot(tc_fun(_u2463, tc_HOL_Obool))) | ( _u2467 != c_Orderings_Obot__class_Obot(tc_fun(_u2463, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2463, tc_HOL_Obool)), _u2465), _u2467) = c_Orderings_Obot__class_Obot(tc_fun(_u2463, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-913, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2468) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2468), c_Orderings_Obot__class_Obot(_u2468)), _u2469) = _u2469) )).
% 57.32/57.52 cnf(matrix-914, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2470) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2470), _u2471), c_Orderings_Obot__class_Obot(_u2470)) = _u2471) )).
% 57.32/57.52 cnf(matrix-915, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2472) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2472), _u2473), _u2474) != c_Orderings_Obot__class_Obot(_u2472)) | ( _u2473 = c_Orderings_Obot__class_Obot(_u2472)) )).
% 57.32/57.52 cnf(matrix-916, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2472) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2472), _u2473), _u2474) != c_Orderings_Obot__class_Obot(_u2472)) | ( _u2474 = c_Orderings_Obot__class_Obot(_u2472)) )).
% 57.32/57.52 cnf(matrix-917, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2472) | ( _u2473 != c_Orderings_Obot__class_Obot(_u2472)) | ( _u2474 != c_Orderings_Obot__class_Obot(_u2472)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2472), _u2473), _u2474) = c_Orderings_Obot__class_Obot(_u2472)) )).
% 57.32/57.52 cnf(matrix-918, plain, ( ( c_Set_Oinsert(_u2475, _u2476, _u2477) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2475, tc_HOL_Obool)), c_Set_Oinsert(_u2475, _u2476, c_Orderings_Obot__class_Obot(tc_fun(_u2475, tc_HOL_Obool)))), _u2477)) )).
% 57.32/57.52 cnf(matrix-919, plain, ( ( _u2483 = _u2485) | ~hBOOL(hAPP(hAPP(c_member(_u2481), _u2483), c_Set_Oinsert(_u2481, _u2485, c_Orderings_Obot__class_Obot(tc_fun(_u2481, tc_HOL_Obool))))) )).
% 57.32/57.52 cnf(matrix-920, plain, ( ( _u2484 != _u2486) | hBOOL(hAPP(hAPP(c_member(_u2482), _u2484), c_Set_Oinsert(_u2482, _u2486, c_Orderings_Obot__class_Obot(tc_fun(_u2482, tc_HOL_Obool))))) )).
% 57.32/57.52 cnf(matrix-921, plain, ( ( _u2488 = _u2489) | ~hBOOL(hAPP(hAPP(c_member(_u2487), _u2488), c_Set_Oinsert(_u2487, _u2489, c_Orderings_Obot__class_Obot(tc_fun(_u2487, tc_HOL_Obool))))) )).
% 57.32/57.52 cnf(matrix-922, plain, ( ( c_FuncSet_Oextensional__funcset(_u2490, _u2491, c_Orderings_Obot__class_Obot(tc_fun(_u2490, tc_HOL_Obool)), _u2492) = c_Set_Oinsert(tc_fun(_u2490, _u2491), c_COMBK(_u2491, _u2490, c_HOL_Oundefined(_u2491)), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2490, _u2491), tc_HOL_Obool)))) )).
% 57.32/57.52 cnf(matrix-923, plain, ( ( c_FuncSet_Oextensional(_u2493, _u2494, c_Orderings_Obot__class_Obot(tc_fun(_u2493, tc_HOL_Obool))) = c_Set_Oinsert(tc_fun(_u2493, _u2494), c_COMBK(_u2494, _u2493, c_HOL_Oundefined(_u2494)), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2493, _u2494), tc_HOL_Obool)))) )).
% 57.32/57.52 cnf(matrix-924, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u2495, tc_HOL_Obool)) != c_Set_Oinsert(_u2495, _u2496, _u2497)) )).
% 57.32/57.52 cnf(matrix-925, plain, ( ( c_Set_Oinsert(_u2498, _u2499, _u2500) != c_Orderings_Obot__class_Obot(tc_fun(_u2498, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-926, plain, ( ( c_Set_Oinsert(_u2506, _u2508, c_Set_Oinsert(_u2506, _u2510, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool)))) != c_Set_Oinsert(_u2506, _u2512, c_Set_Oinsert(_u2506, _u2514, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool))))) | ( _u2508 = _u2512) | ( _u2508 = _u2514) )).
% 57.32/57.52 cnf(matrix-927, plain, ( ( c_Set_Oinsert(_u2506, _u2508, c_Set_Oinsert(_u2506, _u2510, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool)))) != c_Set_Oinsert(_u2506, _u2512, c_Set_Oinsert(_u2506, _u2514, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool))))) | ( _u2508 = _u2512) | ( _u2510 = _u2512) )).
% 57.32/57.52 cnf(matrix-928, plain, ( ( c_Set_Oinsert(_u2506, _u2508, c_Set_Oinsert(_u2506, _u2510, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool)))) != c_Set_Oinsert(_u2506, _u2512, c_Set_Oinsert(_u2506, _u2514, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool))))) | ( _u2510 = _u2514) | ( _u2508 = _u2514) )).
% 57.32/57.52 cnf(matrix-929, plain, ( ( c_Set_Oinsert(_u2506, _u2508, c_Set_Oinsert(_u2506, _u2510, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool)))) != c_Set_Oinsert(_u2506, _u2512, c_Set_Oinsert(_u2506, _u2514, c_Orderings_Obot__class_Obot(tc_fun(_u2506, tc_HOL_Obool))))) | ( _u2510 = _u2514) | ( _u2510 = _u2512) )).
% 57.32/57.52 cnf(matrix-930, plain, ( ( c_Set_Oinsert(_u2507, _u2509, c_Set_Oinsert(_u2507, _u2511, c_Orderings_Obot__class_Obot(tc_fun(_u2507, tc_HOL_Obool)))) = c_Set_Oinsert(_u2507, _u2513, c_Set_Oinsert(_u2507, _u2515, c_Orderings_Obot__class_Obot(tc_fun(_u2507, tc_HOL_Obool))))) | ( _u2509 != _u2513) | ( _u2511 != _u2515) )).
% 57.32/57.52 cnf(matrix-931, plain, ( ( c_Set_Oinsert(_u2507, _u2509, c_Set_Oinsert(_u2507, _u2511, c_Orderings_Obot__class_Obot(tc_fun(_u2507, tc_HOL_Obool)))) = c_Set_Oinsert(_u2507, _u2513, c_Set_Oinsert(_u2507, _u2515, c_Orderings_Obot__class_Obot(tc_fun(_u2507, tc_HOL_Obool))))) | ( _u2509 != _u2515) | ( _u2511 != _u2513) )).
% 57.32/57.52 cnf(matrix-932, plain, ( ( _u2517 = _u2518) | ( c_Set_Oinsert(_u2516, _u2517, c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool))) != c_Set_Oinsert(_u2516, _u2518, c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool)))) )).
% 57.32/57.52 cnf(matrix-933, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2519, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2519, tc_HOL_Obool))), _u2520) = c_Orderings_Obot__class_Obot(tc_fun(_u2519, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-934, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2521, tc_HOL_Obool)), _u2522), c_Orderings_Obot__class_Obot(tc_fun(_u2521, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2521, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-935, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2530, tc_HOL_Obool)), _u2532), _u2534) != c_Orderings_Obot__class_Obot(tc_fun(_u2530, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2530), _u2524), _u2532)) | ~hBOOL(hAPP(hAPP(c_member(_u2530), _u2523), _u2534)) | ( _u2524 != _u2523) )).
% 57.32/57.52 cnf(matrix-936, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2531, tc_HOL_Obool)), _u2533), _u2535) = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2531), skolem110(_u2535, _u2533, _u2531)), _u2533)) )).
% 57.32/57.52 cnf(matrix-937, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2531, tc_HOL_Obool)), _u2533), _u2535) = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2531), skolem111(_u2535, _u2533, _u2531)), _u2535)) )).
% 57.32/57.52 cnf(matrix-938, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2531, tc_HOL_Obool)), _u2533), _u2535) = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | ( skolem110(_u2535, _u2533, _u2531) = skolem111(_u2535, _u2533, _u2531)) )).
% 57.32/57.52 cnf(matrix-939, plain, ( ( c_Transitive__Closure_Otrancl(_u2536, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2536, _u2536), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2536, _u2536), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-940, plain, ( hBOOL(hAPP(hAPP(c_member(_u2541), skolem112(_u2543, _u2541)), _u2543)) | ( _u2543 = c_Orderings_Obot__class_Obot(tc_fun(_u2541, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-941, plain, ( ( _u2544 != c_Orderings_Obot__class_Obot(tc_fun(_u2542, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2542), _u2538), _u2544)) )).
% 57.32/57.52 cnf(matrix-942, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2549), _u2545), _u2551)) | ( _u2551 != c_Orderings_Obot__class_Obot(tc_fun(_u2549, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-943, plain, ( ( _u2552 = c_Orderings_Obot__class_Obot(tc_fun(_u2550, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2550), skolem113(_u2552, _u2550)), _u2552)) )).
% 57.32/57.52 cnf(matrix-944, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2553), _u2554), c_Orderings_Obot__class_Obot(tc_fun(_u2553, tc_HOL_Obool)))) )).
% 57.32/57.52 cnf(matrix-945, plain, ( ( _u2555 != c_Orderings_Obot__class_Obot(tc_fun(_u2556, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2556), _u2557), _u2555)) )).
% 57.32/57.52 cnf(matrix-946, plain, ( ( c_Relation_ODomain(_u2558, _u2559, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2558, _u2559), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2558, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-947, plain, ( ( c_Relation_ODomain(_u2563, _u2565, _u2567) != c_Orderings_Obot__class_Obot(tc_fun(_u2563, tc_HOL_Obool))) | ( _u2567 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2563, _u2565), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-948, plain, ( ( _u2568 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2564, _u2566), tc_HOL_Obool))) | ( c_Relation_ODomain(_u2564, _u2566, _u2568) = c_Orderings_Obot__class_Obot(tc_fun(_u2564, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-949, plain, ( ( c_FuncSet_OPi(_u2575, _u2577, _u2579, _u2581) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2575, _u2577), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2575), skolem114(_u2581, _u2579, _u2577, _u2575)), _u2579)) )).
% 57.32/57.52 cnf(matrix-950, plain, ( ( c_FuncSet_OPi(_u2575, _u2577, _u2579, _u2581) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2575, _u2577), tc_HOL_Obool))) | ( hAPP(_u2581, skolem114(_u2581, _u2579, _u2577, _u2575)) = c_Orderings_Obot__class_Obot(tc_fun(_u2577, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-951, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2576), _u2570), _u2580)) | ( hAPP(_u2582, _u2570) != c_Orderings_Obot__class_Obot(tc_fun(_u2578, tc_HOL_Obool))) | ( c_FuncSet_OPi(_u2576, _u2578, _u2580, _u2582) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2576, _u2578), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-952, plain, ( ( _u2583 = c_Orderings_Obot__class_Obot(tc_fun(_u2584, tc_HOL_Obool))) | ( c_FuncSet_Oextensional__funcset(_u2584, _u2585, _u2583, c_Orderings_Obot__class_Obot(tc_fun(_u2585, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2584, _u2585), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-953, plain, ( ( c_Relation_OId__on(_u2586, c_Orderings_Obot__class_Obot(tc_fun(_u2586, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2586, _u2586), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-954, plain, ( ( c_Relation_ORange(_u2587, _u2588, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2587, _u2588), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2588, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-955, plain, ( ( c_Relation_ORange(_u2592, _u2594, _u2596) != c_Orderings_Obot__class_Obot(tc_fun(_u2594, tc_HOL_Obool))) | ( _u2596 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2592, _u2594), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-956, plain, ( ( _u2597 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2593, _u2595), tc_HOL_Obool))) | ( c_Relation_ORange(_u2593, _u2595, _u2597) = c_Orderings_Obot__class_Obot(tc_fun(_u2595, tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-957, plain, ( c_Relation_Orefl__on(_u2598, c_Orderings_Obot__class_Obot(tc_fun(_u2598, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2598, _u2598), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-958, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2599) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2599), _u2600), c_Orderings_Obot__class_Obot(_u2599)) = c_Orderings_Obot__class_Obot(_u2599)) )).
% 57.32/57.52 cnf(matrix-959, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2601) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2601), c_Orderings_Obot__class_Obot(_u2601)), _u2602) = c_Orderings_Obot__class_Obot(_u2601)) )).
% 57.32/57.52 cnf(matrix-960, plain, ( c_Relation_Ototal__on(_u2603, c_Orderings_Obot__class_Obot(tc_fun(_u2603, tc_HOL_Obool)), _u2604) )).
% 57.32/57.52 cnf(matrix-961, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2607, tc_HOL_Obool)), _u2609)) | hBOOL(hAPP(hAPP(c_member(_u2607), _u2609), c_Orderings_Obot__class_Obot(tc_fun(_u2607, tc_HOL_Obool)))) )).
% 57.32/57.52 cnf(matrix-962, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2608), _u2610), c_Orderings_Obot__class_Obot(tc_fun(_u2608, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2608, tc_HOL_Obool)), _u2610)) )).
% 57.32/57.52 cnf(matrix-963, plain, ( c_Relation_Oantisym(_u2611, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2611, _u2611), tc_HOL_Obool))) )).
% 57.32/57.52 cnf(matrix-964, plain, ( ~class_Orderings_Obot(_u2612) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2613, _u2612)), _u2614) = c_Orderings_Obot__class_Obot(_u2612)) )).
% 57.32/57.52 cnf(matrix-965, plain, ( ~class_Orderings_Obot(_u2615) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2616, _u2615)), _u2617) = c_Orderings_Obot__class_Obot(_u2615)) )).
% 57.32/57.52 cnf(matrix-966, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 57.32/57.52 cnf(matrix-967, plain, ( ~class_Lattices_Obounded__lattice(_u2618) | class_Lattices_Obounded__lattice(tc_fun(_u2619, _u2618)) )).
% 57.32/57.52 cnf(matrix-968, plain, ( ~class_Lattices_Obounded__lattice(_u2620) | class_Lattices_Obounded__lattice__bot(tc_fun(_u2621, _u2620)) )).
% 57.32/57.52 cnf(matrix-969, plain, ( ~class_Lattices_Olattice(_u2622) | class_Lattices_Osemilattice__sup(tc_fun(_u2623, _u2622)) )).
% 57.32/57.52 cnf(matrix-970, plain, ( ~class_Lattices_Olattice(_u2624) | class_Lattices_Osemilattice__inf(tc_fun(_u2625, _u2624)) )).
% 57.32/57.52 cnf(matrix-971, plain, ( ~class_Lattices_Odistrib__lattice(_u2626) | class_Lattices_Odistrib__lattice(tc_fun(_u2627, _u2626)) )).
% 57.32/57.52 cnf(matrix-972, plain, ( ~class_Orderings_Opreorder(_u2628) | class_Orderings_Opreorder(tc_fun(_u2629, _u2628)) )).
% 57.32/57.52 cnf(matrix-973, plain, ( ~class_Lattices_Olattice(_u2630) | class_Lattices_Olattice(tc_fun(_u2631, _u2630)) )).
% 57.32/57.52 cnf(matrix-974, plain, ( ~class_Orderings_Oorder(_u2632) | class_Orderings_Oorder(tc_fun(_u2633, _u2632)) )).
% 57.32/57.52 cnf(matrix-975, plain, ( ~class_Orderings_Oord(_u2634) | class_Orderings_Oord(tc_fun(_u2635, _u2634)) )).
% 57.32/57.52 cnf(matrix-976, plain, ( ~class_Orderings_Obot(_u2636) | class_Orderings_Obot(tc_fun(_u2637, _u2636)) )).
% 57.32/57.52 cnf(matrix-977, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 57.32/57.52 cnf(matrix-978, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 57.32/57.52 cnf(matrix-979, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 57.32/57.52 cnf(matrix-980, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 57.32/57.52 cnf(matrix-981, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 57.32/57.52 cnf(matrix-982, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 57.32/57.52 cnf(matrix-983, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 57.32/57.52 cnf(matrix-984, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 57.32/57.52 cnf(matrix-985, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 57.32/57.52 cnf(matrix-986, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 57.32/57.52 cnf(matrix-987, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 57.32/57.52 cnf(matrix-988, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 57.32/57.52 cnf(matrix-989, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 57.32/57.52 cnf(matrix-990, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 57.32/57.52 cnf(matrix-991, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 57.32/57.52 cnf(matrix-992, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 57.32/57.52 cnf(matrix-993, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 57.32/57.52 cnf(matrix-994, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 57.32/57.52 cnf(matrix-995, plain, ( ( hAPP(c_COMBI(_u2638), _u2639) = _u2639) )).
% 57.32/57.52 cnf(matrix-996, plain, ( ( hAPP(c_COMBK(_u2640, _u2641, _u2642), _u2643) = _u2642) )).
% 57.32/57.52 cnf(matrix-997, plain, ( ( hAPP(hAPP(c_COMBB(_u2644, _u2645, _u2646, _u2647), _u2648), _u2649) = hAPP(_u2647, hAPP(_u2648, _u2649))) )).
% 57.32/57.52 cnf(matrix-998, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u2650, _u2651, _u2652), _u2653), _u2654), _u2655) = hAPP(hAPP(_u2653, _u2655), _u2654)) )).
% 57.32/57.52 cnf(matrix-999, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u2656, _u2657, _u2658), _u2659), _u2660), _u2661) = hAPP(hAPP(_u2659, _u2661), hAPP(_u2660, _u2661))) )).
% 57.32/57.52 cnf(matrix-1000, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u2662), _u2663)) | ( _u2662 = _u2663) )).
% 57.32/57.52 cnf(matrix-1001, plain, ( ( _u2664 != _u2665) | hBOOL(hAPP(hAPP(c_fequal, _u2664), _u2665)) )).
% 57.32/57.52 cnf(matrix-1002, plain, ( ~hBOOL(c_fFalse) )).
% 57.32/57.52 cnf(matrix-1003, plain, ( ~hBOOL(_u2667) | ~hBOOL(_u2666) | hBOOL(hAPP(hAPP(c_fconj, _u2666), _u2667)) )).
% 57.32/57.52 cnf(matrix-1004, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u2668), _u2669)) | hBOOL(_u2668) )).
% 57.32/57.52 cnf(matrix-1005, plain, ( hBOOL(_u2671) | ~hBOOL(hAPP(hAPP(c_fconj, _u2670), _u2671)) )).
% 57.32/57.52 cnf(matrix-1006, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_F, v_Q____))) )).
% 57.32/57.52
% 57.32/57.52 % Proof stack:
% 57.32/57.52 cnf(proof-stack, plain,
% 57.32/57.52 proof_stack(
% 57.32/57.52 start(1006),
% 57.32/57.52 left_branch(0, 299, 3, 2),
% 57.32/57.52 left_branch(0, 197, 0, 3),
% 57.32/57.52 right_branch(3),
% 57.32/57.52 left_branch(0, 201, 0, 4),
% 57.32/57.52 right_branch(4),
% 57.32/57.52 left_branch(0, 246, 0, 5),
% 57.32/57.52 right_branch(5),
% 57.32/57.52 right_branch(2)
% 57.32/57.52 )).
% 57.32/57.52 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------