TSTP Solution File: SCT126+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SCT126+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 : n014.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 14:30:22 EDT 2024
% Result : Theorem 43.94s 44.10s
% Output : Proof 43.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n014.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 17:09:45 EDT 2024
% 0.13/0.34 % CPUTime :
% 43.94/44.10 % SZS status Theorem for theBenchmark
% 43.94/44.10 % SZS output start Proof for theBenchmark
% 43.94/44.10
% 43.94/44.10 % Formula: fact_ext ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_assms_I3_J ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_assms_I3_J-1, axiom, ( c_Arrow__Order__Mirabelle_OIIA(v_F) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_u ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_u-1, axiom, ( c_Arrow__Order__Mirabelle_Ounanimity(v_F) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact__096Q_A_058_AProf_096 ( axiom ) converted to clauses:
% 43.94/44.10 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)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_mkbot__Lin ( axiom ) converted to clauses:
% 43.94/44.10 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)), _u3), 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(_u3, _u4)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_mktop__Lin ( axiom ) converted to clauses:
% 43.94/44.10 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)), _u5), 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(_u5, _u6)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_equalityCE-1, axiom, ( ( _u7 != _u8) | hBOOL(hAPP(hAPP(c_member(_u9), _u10), _u7)) | ~hBOOL(hAPP(hAPP(c_member(_u9), _u10), _u8)) )).
% 43.94/44.10 cnf(fact_equalityCE-2, axiom, ( ( _u7 != _u8) | hBOOL(hAPP(hAPP(c_member(_u9), _u10), _u8)) | ~hBOOL(hAPP(hAPP(c_member(_u9), _u10), _u7)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_above__Lin ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_above__Lin-1, axiom, ( ( _u11 = _u12) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u13), 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, _u13), _u11), _u12)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_below__Lin ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_below__Lin-1, axiom, ( ( _u14 = _u15) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u16), 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(_u16, _u14, _u15)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_d1_I2_J ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_d1_I2_J-1, axiom, ( ( v_a_H____ != v_b_H____) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_linear__alt ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_linear__alt-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), skolem2), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u25, _u23)) | ~hBOOL(hAPP(hAPP(c_member(_u21), _u23), _u25)) )).
% 43.94/44.10 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u26, _u24)) | hBOOL(hAPP(hAPP(c_member(_u22), _u24), _u26)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact__096P_H_A_058_AProf_096 ( axiom ) converted to clauses:
% 43.94/44.10 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)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_d2_I2_J ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_d2_I2_J-1, axiom, ( ( v_b____ != v_a_H____) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_d2_I1_J ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_d2_I1_J-1, axiom, ( ( v_a____ != v_b_H____) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact__096P_A_058_AProf_096 ( axiom ) converted to clauses:
% 43.94/44.10 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)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_eq__mem__trans-1, axiom, ( ( _u27 != _u28) | ~hBOOL(hAPP(hAPP(c_member(_u29), _u28), _u30)) | hBOOL(hAPP(hAPP(c_member(_u29), _u27), _u30)) )).
% 43.94/44.10
% 43.94/44.10 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 43.94/44.10 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u31 != _u32) | ~hBOOL(hAPP(hAPP(c_member(_u33), _u31), _u34)) | hBOOL(hAPP(hAPP(c_member(_u33), _u32), _u34)) )).
% 43.94/44.10 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u31 != _u32) | ~hBOOL(hAPP(hAPP(c_member(_u33), _u32), _u34)) | hBOOL(hAPP(hAPP(c_member(_u33), _u31), _u34)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u35 != _u36) | ~hBOOL(hAPP(hAPP(c_member(_u37), _u38), _u35)) | hBOOL(hAPP(hAPP(c_member(_u37), _u38), _u36)) )).
% 43.94/44.11 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u35 != _u36) | ~hBOOL(hAPP(hAPP(c_member(_u37), _u38), _u36)) | hBOOL(hAPP(hAPP(c_member(_u37), _u38), _u35)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_dictator__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_dictator__def-1, axiom, ( ~c_Arrow__Order__Mirabelle_Odictator(_u43, _u45) | ~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))), _u39), c_Arrow__Order__Mirabelle_OProf)) | ( hAPP(_u43, _u39) = hAPP(_u39, _u45)) )).
% 43.94/44.11 cnf(fact_dictator__def-2, axiom, ( c_Arrow__Order__Mirabelle_Odictator(_u44, _u46) | 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))), skolem3(_u46, _u44)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 cnf(fact_dictator__def-3, axiom, ( c_Arrow__Order__Mirabelle_Odictator(_u44, _u46) | ( hAPP(_u44, skolem3(_u46, _u44)) != hAPP(skolem3(_u46, _u44), _u46)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_in__below ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_in__below-1, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 != _u51) )).
% 43.94/44.11 cnf(fact_in__below-2, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u51 != _u47) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) )).
% 43.94/44.11 cnf(fact_in__below-3, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u51 = _u47) | ( _u50 != _u47) | ( _u51 = _u48) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u48), _u51)), _u49)) )).
% 43.94/44.11 cnf(fact_in__below-4, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u51 = _u47) | ( _u50 = _u47) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) )).
% 43.94/44.11 cnf(fact_in__below-5, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ( _u51 = _u47) | ( _u50 = _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) )).
% 43.94/44.11 cnf(fact_in__below-6, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ( _u51 = _u47) | ( _u50 != _u47) | ( _u51 != _u48) )).
% 43.94/44.11 cnf(fact_in__below-7, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ( _u51 = _u47) | ( _u50 != _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u48), _u51)), _u49)) )).
% 43.94/44.11 cnf(fact_in__below-8, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ( _u51 = _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) | ( _u51 != _u48) )).
% 43.94/44.11 cnf(fact_in__below-9, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ( _u51 = _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u48), _u51)), _u49)) )).
% 43.94/44.11 cnf(fact_in__below-10, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ( _u51 != _u47) )).
% 43.94/44.11 cnf(fact_in__below-11, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ( _u50 = _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) )).
% 43.94/44.11 cnf(fact_in__below-12, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ( _u50 != _u47) | ( _u51 != _u48) )).
% 43.94/44.11 cnf(fact_in__below-13, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ( _u50 != _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u48), _u51)), _u49)) )).
% 43.94/44.11 cnf(fact_in__below-14, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) | ( _u51 != _u48) )).
% 43.94/44.11 cnf(fact_in__below-15, axiom, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u48), _u51)), _u49)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_in__above ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_in__above-1, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 != _u56) )).
% 43.94/44.11 cnf(fact_in__above-2, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 != _u53) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) )).
% 43.94/44.11 cnf(fact_in__above-3, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u53) | ( _u56 != _u53) | ( _u55 = _u52) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u52)), _u54)) )).
% 43.94/44.11 cnf(fact_in__above-4, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u53) | ( _u56 = _u53) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) )).
% 43.94/44.11 cnf(fact_in__above-5, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ( _u55 = _u53) | ( _u56 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) )).
% 43.94/44.11 cnf(fact_in__above-6, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ( _u55 = _u53) | ( _u56 != _u53) | ( _u55 != _u52) )).
% 43.94/44.11 cnf(fact_in__above-7, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ( _u55 = _u53) | ( _u56 != _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u52)), _u54)) )).
% 43.94/44.11 cnf(fact_in__above-8, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ( _u55 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) | ( _u55 != _u52) )).
% 43.94/44.11 cnf(fact_in__above-9, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ( _u55 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u52)), _u54)) )).
% 43.94/44.11 cnf(fact_in__above-10, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ( _u55 != _u53) )).
% 43.94/44.11 cnf(fact_in__above-11, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ( _u56 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) )).
% 43.94/44.11 cnf(fact_in__above-12, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ( _u56 != _u53) | ( _u55 != _u52) )).
% 43.94/44.11 cnf(fact_in__above-13, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ( _u56 != _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u52)), _u54)) )).
% 43.94/44.11 cnf(fact_in__above-14, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) | ( _u55 != _u52) )).
% 43.94/44.11 cnf(fact_in__above-15, axiom, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u52)), _u54)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Q__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Q__def-1, axiom, ( ( hAPP(v_Q____, _u57) = 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____, _u57)), c_Arrow__Order__Mirabelle_Obelow(hAPP(v_P____, _u57), 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____)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_assms_I1_J ( axiom ) converted to clauses:
% 43.94/44.11 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)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_eq__mem-1, axiom, ( ( _u63 = _u65) | ~hBOOL(hAPP(hAPP(c_member(_u61), _u63), hAPP(c_fequal, _u65))) )).
% 43.94/44.11 cnf(fact_eq__mem-2, axiom, ( ( _u64 != _u66) | hBOOL(hAPP(hAPP(c_member(_u62), _u64), hAPP(c_fequal, _u66))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__in__Lin ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__in__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)), c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _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)), _u68), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11 cnf(fact_converse__in__Lin-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u69), 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_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _u69)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Lin__irrefl ( axiom ) converted to clauses:
% 43.94/44.11 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)), _u70), 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), _u71), _u72)), _u70)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u72), _u71)), _u70)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_notin__Lin__iff ( axiom ) converted to clauses:
% 43.94/44.11 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)), _u73), c_Arrow__Order__Mirabelle_OLin)) | ( _u74 = _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), _u74), _u75)), _u73)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u75), _u74)), _u73)) )).
% 43.94/44.11 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)), _u73), c_Arrow__Order__Mirabelle_OLin)) | ( _u74 = _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), _u75), _u74)), _u73)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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), _u75)), _u73)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_const__Lin__Prof ( axiom ) converted to clauses:
% 43.94/44.11 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)), _u76), 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, _u76)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact__C1_C ( axiom ) converted to clauses:
% 43.94/44.11 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____, _u78))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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____, _u78))) )).
% 43.94/44.11 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____, _u79))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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____, _u79))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_d1_I1_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_d1_I1_J-1, axiom, ( ( v_a____ != v_b____) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact__096a_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_096 ( axiom ) converted to clauses:
% 43.94/44.11 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____))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u88 = _u90) | ( hAPP(hAPP(c_COMBC(_u84, tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_fun(_u86, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u86, tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_fun(_u86, tc_HOL_Obool)), _u84, c_COMBC(_u86, tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u86, tc_prod(_u84, _u86)), tc_fun(_u86, tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), _u84, c_COMBB(tc_prod(_u84, _u86), tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool), _u86, c_member(tc_prod(_u84, _u86)))), c_Product__Type_OPair(_u84, _u86)))), _u88) != hAPP(hAPP(c_COMBC(_u84, tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_fun(_u86, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u86, tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_fun(_u86, tc_HOL_Obool)), _u84, c_COMBC(_u86, tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u86, tc_prod(_u84, _u86)), tc_fun(_u86, tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), _u84, c_COMBB(tc_prod(_u84, _u86), tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool), _u86, c_member(tc_prod(_u84, _u86)))), c_Product__Type_OPair(_u84, _u86)))), _u90)) )).
% 43.94/44.11 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u89 != _u91) | ( hAPP(hAPP(c_COMBC(_u85, tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_fun(_u87, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u87, tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_fun(_u87, tc_HOL_Obool)), _u85, c_COMBC(_u87, tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u87, tc_prod(_u85, _u87)), tc_fun(_u87, tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), _u85, c_COMBB(tc_prod(_u85, _u87), tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool), _u87, c_member(tc_prod(_u85, _u87)))), c_Product__Type_OPair(_u85, _u87)))), _u89) = hAPP(hAPP(c_COMBC(_u85, tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_fun(_u87, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u87, tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_fun(_u87, tc_HOL_Obool)), _u85, c_COMBC(_u87, tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u87, tc_prod(_u85, _u87)), tc_fun(_u87, tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), _u85, c_COMBB(tc_prod(_u85, _u87), tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool), _u87, c_member(tc_prod(_u85, _u87)))), c_Product__Type_OPair(_u85, _u87)))), _u91)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_pred__equals__eq-1, axiom, ( ( _u97 = _u99) | ( hAPP(hAPP(c_COMBC(_u95, tc_fun(_u95, tc_HOL_Obool), tc_HOL_Obool), c_member(_u95)), _u97) != hAPP(hAPP(c_COMBC(_u95, tc_fun(_u95, tc_HOL_Obool), tc_HOL_Obool), c_member(_u95)), _u99)) )).
% 43.94/44.11 cnf(fact_pred__equals__eq-2, axiom, ( ( _u98 != _u100) | ( hAPP(hAPP(c_COMBC(_u96, tc_fun(_u96, tc_HOL_Obool), tc_HOL_Obool), c_member(_u96)), _u98) = hAPP(hAPP(c_COMBC(_u96, tc_fun(_u96, tc_HOL_Obool), tc_HOL_Obool), c_member(_u96)), _u100)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_in__mktop ( axiom ) converted to clauses:
% 43.94/44.11 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), _u105), _u107)), c_Arrow__Order__Mirabelle_Omktop(_u109, _u111))) | ( _u105 != _u111) )).
% 43.94/44.11 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), _u105), _u107)), c_Arrow__Order__Mirabelle_Omktop(_u109, _u111))) | ( _u107 != _u111) | ( _u105 != _u107) )).
% 43.94/44.11 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), _u105), _u107)), c_Arrow__Order__Mirabelle_Omktop(_u109, _u111))) | ( _u107 = _u111) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u105), _u107)), _u109)) )).
% 43.94/44.11 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), _u106), _u108)), c_Arrow__Order__Mirabelle_Omktop(_u110, _u112))) | ( _u106 = _u112) | ( _u108 = _u112) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u106), _u108)), _u110)) )).
% 43.94/44.11 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), _u106), _u108)), c_Arrow__Order__Mirabelle_Omktop(_u110, _u112))) | ( _u106 = _u112) | ( _u106 = _u108) | ( _u108 != _u112) )).
% 43.94/44.11 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), _u106), _u108)), c_Arrow__Order__Mirabelle_Omktop(_u110, _u112))) | ( _u106 = _u112) | ( _u106 = _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), _u106), _u108)), _u110)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_in__mkbot ( axiom ) converted to clauses:
% 43.94/44.11 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), _u117), _u119)), c_Arrow__Order__Mirabelle_Omkbot(_u121, _u123))) | ( _u119 != _u123) )).
% 43.94/44.11 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), _u117), _u119)), c_Arrow__Order__Mirabelle_Omkbot(_u121, _u123))) | ( _u117 != _u123) | ( _u117 != _u119) )).
% 43.94/44.11 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), _u117), _u119)), c_Arrow__Order__Mirabelle_Omkbot(_u121, _u123))) | ( _u117 = _u123) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u117), _u119)), _u121)) )).
% 43.94/44.11 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), _u118), _u120)), c_Arrow__Order__Mirabelle_Omkbot(_u122, _u124))) | ( _u120 = _u124) | ( _u118 = _u124) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u118), _u120)), _u122)) )).
% 43.94/44.11 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), _u118), _u120)), c_Arrow__Order__Mirabelle_Omkbot(_u122, _u124))) | ( _u120 = _u124) | ( _u118 = _u120) | ( _u118 != _u124) )).
% 43.94/44.11 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), _u118), _u120)), c_Arrow__Order__Mirabelle_Omkbot(_u122, _u124))) | ( _u120 = _u124) | ( _u118 = _u120) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u118), _u120)), _u122)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_PiE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_PiE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u125, _u126)), _u127), c_FuncSet_OPi(_u125, _u126, _u128, _u129))) | hBOOL(hAPP(hAPP(c_member(_u126), hAPP(_u127, _u130)), hAPP(_u129, _u130))) | ~hBOOL(hAPP(hAPP(c_member(_u125), _u130), _u128)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_dictatorI ( axiom ) converted to clauses:
% 43.94/44.11 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))), _u134), 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(_u134, _u135) | 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))), skolem4(_u135, _u134)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 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))), _u134), 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(_u134, _u135) | ( skolem5(_u135, _u134) != skolem6(_u135, _u134)) )).
% 43.94/44.11 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))), _u134), 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(_u134, _u135) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem5(_u135, _u134)), skolem6(_u135, _u134))), hAPP(skolem4(_u135, _u134), _u135))) )).
% 43.94/44.11 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))), _u134), 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(_u134, _u135) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem5(_u135, _u134)), skolem6(_u135, _u134))), hAPP(_u134, skolem4(_u135, _u134)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_funcset__mem ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_funcset__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u136, _u137)), _u138), c_FuncSet_OPi(_u136, _u137, _u139, c_COMBK(tc_fun(_u137, tc_HOL_Obool), _u136, _u140)))) | ~hBOOL(hAPP(hAPP(c_member(_u136), _u141), _u139)) | hBOOL(hAPP(hAPP(c_member(_u137), hAPP(_u138, _u141)), _u140)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Pi__mem ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Pi__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u142, _u143)), _u144), c_FuncSet_OPi(_u142, _u143, _u145, _u146))) | ~hBOOL(hAPP(hAPP(c_member(_u142), _u147), _u145)) | hBOOL(hAPP(hAPP(c_member(_u143), hAPP(_u144, _u147)), hAPP(_u146, _u147))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u153, _u155)), hAPP(hAPP(c_Product__Type_OPair(_u153, _u155), _u157), _u159)), c_Relation_Oconverse(_u155, _u153, _u161))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u155, _u153)), hAPP(hAPP(c_Product__Type_OPair(_u155, _u153), _u159), _u157)), _u161)) )).
% 43.94/44.11 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u156, _u154)), hAPP(hAPP(c_Product__Type_OPair(_u156, _u154), _u160), _u158)), _u162)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u154, _u156)), hAPP(hAPP(c_Product__Type_OPair(_u154, _u156), _u158), _u160)), c_Relation_Oconverse(_u156, _u154, _u162))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converseI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u163, _u164)), hAPP(hAPP(c_Product__Type_OPair(_u163, _u164), _u165), _u166)), _u167)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u164, _u163)), hAPP(hAPP(c_Product__Type_OPair(_u164, _u163), _u166), _u165)), c_Relation_Oconverse(_u163, _u164, _u167))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converseD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u168, _u169)), hAPP(hAPP(c_Product__Type_OPair(_u168, _u169), _u170), _u171)), c_Relation_Oconverse(_u169, _u168, _u172))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u169, _u168)), hAPP(hAPP(c_Product__Type_OPair(_u169, _u168), _u171), _u170)), _u172)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_funcset__id ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_funcset__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u173, _u173)), c_COMBI(_u173)), c_FuncSet_OPi(_u173, _u173, _u174, c_COMBK(tc_fun(_u173, tc_HOL_Obool), _u173, _u174)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_IIA__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_IIA__def-1, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem7(_u190, _u179, _u178, _u177, _u176)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(fact_IIA__def-2, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem7(_u190, _u179, _u178, _u177, _u176)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(fact_IIA__def-3, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u178))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem7(_u190, _u179, _u178, _u177, _u176)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(fact_IIA__def-4, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u178))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem7(_u190, _u179, _u178, _u177, _u176)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(fact_IIA__def-5, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem7(_u190, _u179, _u178, _u177, _u176)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(fact_IIA__def-6, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem7(_u190, _u179, _u178, _u177, _u176)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(fact_IIA__def-7, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u179))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem7(_u190, _u179, _u178, _u177, _u176)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(fact_IIA__def-8, axiom, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u179))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem7(_u190, _u179, _u178, _u177, _u176)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(fact_IIA__def-9, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | 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))), skolem9(_u191)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 cnf(fact_IIA__def-10, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | 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))), skolem10(_u191)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 cnf(fact_IIA__def-11, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(skolem9(_u191), _u188))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(skolem10(_u191), _u188))) )).
% 43.94/44.11 cnf(fact_IIA__def-12, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(skolem10(_u191), _u189))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(skolem9(_u191), _u189))) )).
% 43.94/44.11 cnf(fact_IIA__def-13, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(_u191, skolem9(_u191)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(_u191, skolem10(_u191)))) )).
% 43.94/44.11 cnf(fact_IIA__def-14, axiom, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(_u191, skolem10(_u191)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(_u191, skolem9(_u191)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_unanimity__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_unanimity__def-1, axiom, ( ~c_Arrow__Order__Mirabelle_Ounanimity(_u201) | ~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))), _u195), 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), _u194), _u193)), hAPP(_u195, skolem13(_u201, _u195, _u194, _u193)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u194), _u193)), hAPP(_u201, _u195))) )).
% 43.94/44.11 cnf(fact_unanimity__def-2, axiom, ( c_Arrow__Order__Mirabelle_Ounanimity(_u202) | 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(_u202)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 cnf(fact_unanimity__def-3, axiom, ( c_Arrow__Order__Mirabelle_Ounanimity(_u202) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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(_u202)), skolem16(_u202))), hAPP(skolem14(_u202), _u196))) )).
% 43.94/44.11 cnf(fact_unanimity__def-4, axiom, ( c_Arrow__Order__Mirabelle_Ounanimity(_u202) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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(_u202)), skolem16(_u202))), hAPP(_u202, skolem14(_u202)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__converse-1, axiom, ( ( c_Relation_Oconverse(_u203, _u204, c_Relation_Oconverse(_u204, _u203, _u205)) = _u205) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u210, _u212) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u210, _u210)), hAPP(hAPP(c_Product__Type_OPair(_u210, _u210), _u206), _u206)), _u212)) )).
% 43.94/44.11 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u211, _u211)), hAPP(hAPP(c_Product__Type_OPair(_u211, _u211), skolem17(_u213, _u211)), skolem17(_u213, _u211))), _u213)) | c_Relation_Oirrefl(_u211, _u213) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Pi__I ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Pi__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u215, _u217)), _u218), c_FuncSet_OPi(_u215, _u217, _u216, _u219))) | hBOOL(hAPP(hAPP(c_member(_u215), skolem18(_u219, _u218, _u217, _u216, _u215)), _u216)) )).
% 43.94/44.11 cnf(fact_Pi__I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u215, _u217)), _u218), c_FuncSet_OPi(_u215, _u217, _u216, _u219))) | ~hBOOL(hAPP(hAPP(c_member(_u217), hAPP(_u218, skolem18(_u219, _u218, _u217, _u216, _u215))), hAPP(_u219, skolem18(_u219, _u218, _u217, _u216, _u215)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_in__rel__def-1, axiom, ( ~c_FunDef_Oin__rel(_u225, _u227, _u229, _u231, _u233) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u225, _u227)), hAPP(hAPP(c_Product__Type_OPair(_u225, _u227), _u231), _u233)), _u229)) )).
% 43.94/44.11 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u226, _u228)), hAPP(hAPP(c_Product__Type_OPair(_u226, _u228), _u232), _u234)), _u230)) | c_FunDef_Oin__rel(_u226, _u228, _u230, _u232, _u234) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converseE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u237, _u238)), _u239), c_Relation_Oconverse(_u238, _u237, _u240))) | ( _u239 = hAPP(hAPP(c_Product__Type_OPair(_u237, _u238), skolem20(_u240, _u239, _u238, _u237)), skolem19(_u240, _u239, _u238, _u237))) )).
% 43.94/44.11 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u237, _u238)), _u239), c_Relation_Oconverse(_u238, _u237, _u240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u238, _u237)), hAPP(hAPP(c_Product__Type_OPair(_u238, _u237), skolem19(_u240, _u239, _u238, _u237)), skolem20(_u240, _u239, _u238, _u237))), _u240)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u241, _u242)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u243, _u243)), hAPP(hAPP(c_Product__Type_OPair(_u243, _u243), _u244), _u245)), hAPP(_u246, _u242))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u247, _u243), tc_prod(_u247, _u243))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u247, _u243), tc_prod(_u247, _u243)), hAPP(hAPP(c_Product__Type_OPair(_u247, _u243), _u242), _u244)), hAPP(hAPP(c_Product__Type_OPair(_u247, _u243), _u242), _u245))), c_Recdef_Osame__fst(_u247, _u243, _u241, _u246))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u248, _u249)), hAPP(hAPP(c_Product__Type_OPair(_u248, _u249), _u250), _u251)), _u252)) | hBOOL(hAPP(hAPP(c_member(_u249), _u251), c_Relation_ORange(_u248, _u249, _u252))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_complete__Lin ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_complete__Lin-1, axiom, ( ( _u254 = _u255) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), skolem21(_u255, _u254)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11 cnf(fact_complete__Lin-2, axiom, ( ( _u254 = _u255) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u254), _u255)), skolem21(_u255, _u254))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Id__on__eqI-1, axiom, ( ( _u256 != _u257) | ~hBOOL(hAPP(hAPP(c_member(_u258), _u256), _u259)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u258, _u258)), hAPP(hAPP(c_Product__Type_OPair(_u258, _u258), _u256), _u257)), c_Relation_OId__on(_u258, _u259))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u264, _u264)), hAPP(hAPP(c_Product__Type_OPair(_u264, _u264), _u266), _u268)), c_Relation_OId__on(_u264, _u270))) | ( _u266 = _u268) )).
% 43.94/44.11 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u264, _u264)), hAPP(hAPP(c_Product__Type_OPair(_u264, _u264), _u266), _u268)), c_Relation_OId__on(_u264, _u270))) | hBOOL(hAPP(hAPP(c_member(_u264), _u266), _u270)) )).
% 43.94/44.11 cnf(fact_Id__on__iff-3, axiom, ( ( _u267 != _u269) | ~hBOOL(hAPP(hAPP(c_member(_u265), _u267), _u271)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u265, _u265)), hAPP(hAPP(c_Product__Type_OPair(_u265, _u265), _u267), _u269)), c_Relation_OId__on(_u265, _u271))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Range__Id__on-1, axiom, ( ( c_Relation_ORange(_u272, _u272, c_Relation_OId__on(_u272, _u273)) = _u273) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__Id__on-1, axiom, ( ( c_Relation_Oconverse(_u274, _u274, c_Relation_OId__on(_u274, _u275)) = c_Relation_OId__on(_u274, _u275)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u282), _u284), c_Relation_ORange(_u286, _u282, _u288))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u286, _u282)), hAPP(hAPP(c_Product__Type_OPair(_u286, _u282), skolem22(_u288, _u286, _u284, _u282)), _u284)), _u288)) )).
% 43.94/44.11 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u287, _u283)), hAPP(hAPP(c_Product__Type_OPair(_u287, _u283), _u277), _u285)), _u289)) | hBOOL(hAPP(hAPP(c_member(_u283), _u285), c_Relation_ORange(_u287, _u283, _u289))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_RangeP__Range__eq-1, axiom, ( ~c_Predicate_ORangeP(_u294, _u296, hAPP(hAPP(c_COMBC(_u294, tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_fun(_u296, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u296, tc_fun(tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_fun(_u296, tc_HOL_Obool)), _u294, c_COMBC(_u296, tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u296, tc_prod(_u294, _u296)), tc_fun(_u296, tc_fun(tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_HOL_Obool)), _u294, c_COMBB(tc_prod(_u294, _u296), tc_fun(tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_HOL_Obool), _u296, c_member(tc_prod(_u294, _u296)))), c_Product__Type_OPair(_u294, _u296)))), _u298), _u300) | hBOOL(hAPP(hAPP(c_member(_u296), _u300), c_Relation_ORange(_u294, _u296, _u298))) )).
% 43.94/44.11 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u297), _u301), c_Relation_ORange(_u295, _u297, _u299))) | c_Predicate_ORangeP(_u295, _u297, hAPP(hAPP(c_COMBC(_u295, tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_fun(_u297, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u297, tc_fun(tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_fun(_u297, tc_HOL_Obool)), _u295, c_COMBC(_u297, tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u297, tc_prod(_u295, _u297)), tc_fun(_u297, tc_fun(tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_HOL_Obool)), _u295, c_COMBB(tc_prod(_u295, _u297), tc_fun(tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_HOL_Obool), _u297, c_member(tc_prod(_u295, _u297)))), c_Product__Type_OPair(_u295, _u297)))), _u299), _u301) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u310, _u312), tc_prod(_u310, _u312))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u310, _u312), tc_prod(_u310, _u312)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u312), _u314), _u316)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u312), _u318), _u320))), c_Wellfounded_Olex__prod(_u310, _u312, _u322, _u324))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u310, _u310)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u310), _u314), _u318)), _u322)) | ( _u314 = _u318) )).
% 43.94/44.11 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u310, _u312), tc_prod(_u310, _u312))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u310, _u312), tc_prod(_u310, _u312)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u312), _u314), _u316)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u312), _u318), _u320))), c_Wellfounded_Olex__prod(_u310, _u312, _u322, _u324))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u310, _u310)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u310), _u314), _u318)), _u322)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u312, _u312)), hAPP(hAPP(c_Product__Type_OPair(_u312, _u312), _u316), _u320)), _u324)) )).
% 43.94/44.11 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u311, _u313), tc_prod(_u311, _u313))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u311, _u313), tc_prod(_u311, _u313)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u313), _u315), _u317)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u313), _u319), _u321))), c_Wellfounded_Olex__prod(_u311, _u313, _u323, _u325))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u311, _u311)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u311), _u315), _u319)), _u323)) )).
% 43.94/44.11 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u311, _u313), tc_prod(_u311, _u313))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u311, _u313), tc_prod(_u311, _u313)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u313), _u315), _u317)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u313), _u319), _u321))), c_Wellfounded_Olex__prod(_u311, _u313, _u323, _u325))) | ( _u315 != _u319) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u313, _u313)), hAPP(hAPP(c_Product__Type_OPair(_u313, _u313), _u317), _u321)), _u325)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u327, _u327)), _u328), c_Relation_OId__on(_u327, _u329))) | hBOOL(hAPP(hAPP(c_member(_u327), skolem23(_u329, _u328, _u327)), _u329)) )).
% 43.94/44.11 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u327, _u327)), _u328), c_Relation_OId__on(_u327, _u329))) | ( _u328 = hAPP(hAPP(c_Product__Type_OPair(_u327, _u327), skolem23(_u329, _u328, _u327)), skolem23(_u329, _u328, _u327))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u331), _u332), c_Relation_ORange(_u333, _u331, _u334))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u333, _u331)), hAPP(hAPP(c_Product__Type_OPair(_u333, _u331), skolem24(_u334, _u333, _u332, _u331)), _u332)), _u334)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_funcsetI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_funcsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u336, _u338)), _u339), c_FuncSet_OPi(_u336, _u338, _u337, c_COMBK(tc_fun(_u338, tc_HOL_Obool), _u336, _u340)))) | hBOOL(hAPP(hAPP(c_member(_u336), skolem25(_u340, _u339, _u338, _u337, _u336)), _u337)) )).
% 43.94/44.11 cnf(fact_funcsetI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u336, _u338)), _u339), c_FuncSet_OPi(_u336, _u338, _u337, c_COMBK(tc_fun(_u338, tc_HOL_Obool), _u336, _u340)))) | ~hBOOL(hAPP(hAPP(c_member(_u338), hAPP(_u339, skolem25(_u340, _u339, _u338, _u337, _u336))), _u340)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u341, _u342)), hAPP(hAPP(c_Product__Type_OPair(_u341, _u342), _u343), _u344)), _u345)) | hBOOL(hAPP(hAPP(c_member(_u341), _u343), c_Relation_ODomain(_u341, _u342, _u345))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_conversep__converse__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_conversep__converse__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u351, _u353, hAPP(hAPP(c_COMBC(_u351, tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_fun(_u353, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u353, tc_fun(tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_fun(_u353, tc_HOL_Obool)), _u351, c_COMBC(_u353, tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u353, tc_prod(_u351, _u353)), tc_fun(_u353, tc_fun(tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_HOL_Obool)), _u351, c_COMBB(tc_prod(_u351, _u353), tc_fun(tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_HOL_Obool), _u353, c_member(tc_prod(_u351, _u353)))), c_Product__Type_OPair(_u351, _u353)))), _u355)), _u357), _u359)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u353, _u351)), hAPP(hAPP(c_Product__Type_OPair(_u353, _u351), _u357), _u359)), c_Relation_Oconverse(_u351, _u353, _u355))) )).
% 43.94/44.11 cnf(fact_conversep__converse__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u354, _u352)), hAPP(hAPP(c_Product__Type_OPair(_u354, _u352), _u358), _u360)), c_Relation_Oconverse(_u352, _u354, _u356))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u352, _u354, hAPP(hAPP(c_COMBC(_u352, tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_fun(_u354, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u354, tc_fun(tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_fun(_u354, tc_HOL_Obool)), _u352, c_COMBC(_u354, tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u354, tc_prod(_u352, _u354)), tc_fun(_u354, tc_fun(tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_HOL_Obool)), _u352, c_COMBB(tc_prod(_u352, _u354), tc_fun(tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_HOL_Obool), _u354, c_member(tc_prod(_u352, _u354)))), c_Product__Type_OPair(_u352, _u354)))), _u356)), _u358), _u360)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u365, _u367) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u365, _u365)), hAPP(hAPP(c_Product__Type_OPair(_u365, _u365), _u361), _u361)), _u367)) )).
% 43.94/44.11 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u366, _u366)), hAPP(hAPP(c_Product__Type_OPair(_u366, _u366), skolem26(_u368, _u366)), skolem26(_u368, _u366))), _u368)) | c_Nitpick_Orefl_H(_u366, _u368) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Pi__I_H ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Pi__I_H-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u370, _u372)), _u373), c_FuncSet_OPi(_u370, _u372, _u371, _u374))) | hBOOL(hAPP(hAPP(c_member(_u370), skolem27(_u374, _u373, _u372, _u371, _u370)), _u371)) )).
% 43.94/44.11 cnf(fact_Pi__I_H-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u370, _u372)), _u373), c_FuncSet_OPi(_u370, _u372, _u371, _u374))) | ~hBOOL(hAPP(hAPP(c_member(_u372), hAPP(_u373, skolem27(_u374, _u373, _u372, _u371, _u370))), hAPP(_u374, skolem27(_u374, _u373, _u372, _u371, _u370)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u375, _u376), _u377)) | c_Predicate_ORangeP(_u378, _u379, _u375, _u377) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u390, skolem28(_u392, _u390)), _u392)) | ~c_Predicate_ORangeP(_u386, _u388, _u390, _u392) )).
% 43.94/44.11 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u391, _u381), _u393)) | c_Predicate_ORangeP(_u387, _u389, _u391, _u393) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_conversepD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_conversepD-1, axiom, ( hBOOL(hAPP(hAPP(_u396, _u398), _u397)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u394, _u395, _u396), _u397), _u398)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_conversep_Ointros ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_conversep_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u399, _u400), _u401)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u402, _u403, _u399), _u401), _u400)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_conversep_Oequations ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_conversep_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u413, _u417), _u415)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u409, _u411, _u413), _u415), _u417)) )).
% 43.94/44.11 cnf(fact_conversep_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u414, _u418), _u416)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u410, _u412, _u414), _u416), _u418)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_conversep__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_conversep__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u428, _u432), _u430)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u424, _u426, _u428), _u430), _u432)) )).
% 43.94/44.11 cnf(fact_conversep__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u429, _u433), _u431)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u425, _u427, _u429), _u431), _u433)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_conversep__conversep ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_conversep__conversep-1, axiom, ( ( c_Predicate_Oconversep(_u434, _u435, c_Predicate_Oconversep(_u435, _u434, _u436)) = _u436) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_conversep__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_conversep__eq-1, axiom, ( ( c_Predicate_Oconversep(_u437, _u437, c_fequal) = c_fequal) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_conversep__noteq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_conversep__noteq-1, axiom, ( ( _u443 != _u445) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u441, _u441, hAPP(c_COMBB(tc_fun(_u441, tc_HOL_Obool), tc_fun(_u441, tc_HOL_Obool), _u441, c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u441, c_fNot)), c_fequal)), _u443), _u445)) )).
% 43.94/44.11 cnf(fact_conversep__noteq-2, axiom, ( ( _u444 = _u446) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u442, _u442, hAPP(c_COMBB(tc_fun(_u442, tc_HOL_Obool), tc_fun(_u442, tc_HOL_Obool), _u442, c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u442, c_fNot)), c_fequal)), _u444), _u446)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Domain__Id__on-1, axiom, ( ( c_Relation_ODomain(_u447, _u447, c_Relation_OId__on(_u447, _u448)) = _u448) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Range__def-1, axiom, ( ( c_Relation_ORange(_u449, _u450, _u451) = c_Relation_ODomain(_u450, _u449, c_Relation_Oconverse(_u449, _u450, _u451))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Domain__converse-1, axiom, ( ( c_Relation_ODomain(_u452, _u453, c_Relation_Oconverse(_u453, _u452, _u454)) = c_Relation_ORange(_u453, _u452, _u454)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Range__converse-1, axiom, ( ( c_Relation_ORange(_u455, _u456, c_Relation_Oconverse(_u456, _u455, _u457)) = c_Relation_ODomain(_u456, _u455, _u457)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u464), _u466), c_Relation_ODomain(_u464, _u468, _u470))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u464, _u468)), hAPP(hAPP(c_Product__Type_OPair(_u464, _u468), _u466), skolem29(_u470, _u468, _u466, _u464))), _u470)) )).
% 43.94/44.11 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u465, _u469)), hAPP(hAPP(c_Product__Type_OPair(_u465, _u469), _u467), _u459)), _u471)) | hBOOL(hAPP(hAPP(c_member(_u465), _u467), c_Relation_ODomain(_u465, _u469, _u471))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~c_Predicate_ODomainP(_u476, _u478, hAPP(hAPP(c_COMBC(_u476, tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_fun(_u478, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u478, tc_fun(tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_fun(_u478, tc_HOL_Obool)), _u476, c_COMBC(_u478, tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u478, tc_prod(_u476, _u478)), tc_fun(_u478, tc_fun(tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_HOL_Obool)), _u476, c_COMBB(tc_prod(_u476, _u478), tc_fun(tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_HOL_Obool), _u478, c_member(tc_prod(_u476, _u478)))), c_Product__Type_OPair(_u476, _u478)))), _u480), _u482) | hBOOL(hAPP(hAPP(c_member(_u476), _u482), c_Relation_ODomain(_u476, _u478, _u480))) )).
% 43.94/44.11 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u477), _u483), c_Relation_ODomain(_u477, _u479, _u481))) | c_Predicate_ODomainP(_u477, _u479, hAPP(hAPP(c_COMBC(_u477, tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_fun(_u479, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u479, tc_fun(tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_fun(_u479, tc_HOL_Obool)), _u477, c_COMBC(_u479, tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u479, tc_prod(_u477, _u479)), tc_fun(_u479, tc_fun(tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_HOL_Obool)), _u477, c_COMBB(tc_prod(_u477, _u479), tc_fun(tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_HOL_Obool), _u479, c_member(tc_prod(_u477, _u479)))), c_Product__Type_OPair(_u477, _u479)))), _u481), _u483) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u485), _u486), c_Relation_ODomain(_u485, _u487, _u488))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u485, _u487)), hAPP(hAPP(c_Product__Type_OPair(_u485, _u487), _u486), skolem30(_u488, _u487, _u486, _u485))), _u488)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Pi__cong ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Pi__cong-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u490), skolem31(_u495, _u494, _u493, _u492, _u491, _u490)), _u491)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u492), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u493), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) )).
% 43.94/44.11 cnf(fact_Pi__cong-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u490), skolem31(_u495, _u494, _u493, _u492, _u491, _u490)), _u491)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u493), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u492), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) )).
% 43.94/44.11 cnf(fact_Pi__cong-3, axiom, ( ( hAPP(_u492, skolem31(_u495, _u494, _u493, _u492, _u491, _u490)) != hAPP(_u493, skolem31(_u495, _u494, _u493, _u492, _u491, _u490))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u492), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u493), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) )).
% 43.94/44.11 cnf(fact_Pi__cong-4, axiom, ( ( hAPP(_u492, skolem31(_u495, _u494, _u493, _u492, _u491, _u490)) != hAPP(_u493, skolem31(_u495, _u494, _u493, _u492, _u491, _u490))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u493), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u492), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_compose__assoc ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_compose__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u496, _u497)), _u498), c_FuncSet_OPi(_u496, _u497, _u499, c_COMBK(tc_fun(_u497, tc_HOL_Obool), _u496, _u500)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u497, _u501)), _u502), c_FuncSet_OPi(_u497, _u501, _u500, c_COMBK(tc_fun(_u501, tc_HOL_Obool), _u497, _u503)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u501, _u504)), _u505), c_FuncSet_OPi(_u501, _u504, _u503, c_COMBK(tc_fun(_u504, tc_HOL_Obool), _u501, _u506)))) | ( c_FuncSet_Ocompose(_u496, _u501, _u504, _u499, _u505, c_FuncSet_Ocompose(_u496, _u497, _u501, _u499, _u502, _u498)) = c_FuncSet_Ocompose(_u496, _u497, _u504, _u499, c_FuncSet_Ocompose(_u497, _u501, _u504, _u500, _u505, _u502), _u498)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_funcset__compose ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_funcset__compose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u507, _u508)), _u509), c_FuncSet_OPi(_u507, _u508, _u510, c_COMBK(tc_fun(_u508, tc_HOL_Obool), _u507, _u511)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u508, _u512)), _u513), c_FuncSet_OPi(_u508, _u512, _u511, c_COMBK(tc_fun(_u512, tc_HOL_Obool), _u508, _u514)))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u507, _u512)), c_FuncSet_Ocompose(_u507, _u508, _u512, _u510, _u513, _u509)), c_FuncSet_OPi(_u507, _u512, _u510, c_COMBK(tc_fun(_u512, tc_HOL_Obool), _u507, _u514)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u515), _u516), c_Wellfounded_Oacc(_u515, _u517))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u515, _u515)), hAPP(hAPP(c_Product__Type_OPair(_u515, _u515), _u518), _u516)), _u517)) | hBOOL(hAPP(hAPP(c_member(_u515), _u518), c_Wellfounded_Oacc(_u515, _u517))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u524), _u526), c_Wellfounded_Oacc(_u524, _u528))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u524, _u524)), hAPP(hAPP(c_Product__Type_OPair(_u524, _u524), _u519), _u526)), _u528)) | hBOOL(hAPP(hAPP(c_member(_u524), _u519), c_Wellfounded_Oacc(_u524, _u528))) )).
% 43.94/44.11 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u525), _u527), c_Wellfounded_Oacc(_u525, _u529))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u525, _u525)), hAPP(hAPP(c_Product__Type_OPair(_u525, _u525), skolem32(_u529, _u527, _u525)), _u527)), _u529)) )).
% 43.94/44.11 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u525), _u527), c_Wellfounded_Oacc(_u525, _u529))) | ~hBOOL(hAPP(hAPP(c_member(_u525), skolem32(_u529, _u527, _u525)), c_Wellfounded_Oacc(_u525, _u529))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u537, _u539, _u541) | ~hBOOL(hAPP(hAPP(c_member(_u537), _u531), _u539)) | ~hBOOL(hAPP(hAPP(c_member(_u537), _u530), _u539)) | ( _u531 = _u530) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u537, _u537)), hAPP(hAPP(c_Product__Type_OPair(_u537, _u537), _u531), _u530)), _u541)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u537, _u537)), hAPP(hAPP(c_Product__Type_OPair(_u537, _u537), _u530), _u531)), _u541)) )).
% 43.94/44.11 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u538, _u540, _u542) | hBOOL(hAPP(hAPP(c_member(_u538), skolem33(_u542, _u540, _u538)), _u540)) )).
% 43.94/44.11 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u538, _u540, _u542) | hBOOL(hAPP(hAPP(c_member(_u538), skolem34(_u542, _u540, _u538)), _u540)) )).
% 43.94/44.11 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u538, _u540, _u542) | ( skolem33(_u542, _u540, _u538) != skolem34(_u542, _u540, _u538)) )).
% 43.94/44.11 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u538, _u540, _u542) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u538, _u538)), hAPP(hAPP(c_Product__Type_OPair(_u538, _u538), skolem33(_u542, _u540, _u538)), skolem34(_u542, _u540, _u538))), _u542)) )).
% 43.94/44.11 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u538, _u540, _u542) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u538, _u538)), hAPP(hAPP(c_Product__Type_OPair(_u538, _u538), skolem34(_u542, _u540, _u538)), skolem33(_u542, _u540, _u538))), _u542)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u555, _u555)), hAPP(hAPP(c_Product__Type_OPair(_u555, _u555), hAPP(_u559, _u551)), hAPP(_u559, _u553))), _u557)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u549, _u549)), hAPP(hAPP(c_Product__Type_OPair(_u549, _u549), _u551), _u553)), c_Relation_Oinv__image(_u555, _u549, _u557, _u559))) )).
% 43.94/44.11 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u556, _u556)), hAPP(hAPP(c_Product__Type_OPair(_u556, _u556), hAPP(_u560, _u552)), hAPP(_u560, _u554))), _u558)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u550, _u550)), hAPP(hAPP(c_Product__Type_OPair(_u550, _u550), _u552), _u554)), c_Relation_Oinv__image(_u556, _u550, _u558, _u560))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u561, _u562), _u563)) | c_Predicate_ODomainP(_u564, _u565, _u561, _u562) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_compose__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_compose__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u566), _u567), _u568)) | ( hAPP(c_FuncSet_Ocompose(_u566, _u569, _u570, _u568, _u571, _u572), _u567) = hAPP(_u571, hAPP(_u572, _u567))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__inv__image-1, axiom, ( ( c_Relation_Oconverse(_u573, _u573, c_Relation_Oinv__image(_u574, _u573, _u575, _u576)) = c_Relation_Oinv__image(_u574, _u573, c_Relation_Oconverse(_u574, _u574, _u575), _u576)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u580, _u582, c_Relation_Oconverse(_u580, _u580, _u584)) | c_Relation_Ototal__on(_u580, _u582, _u584) )).
% 43.94/44.11 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u581, _u583, _u585) | c_Relation_Ototal__on(_u581, _u583, c_Relation_Oconverse(_u581, _u581, _u585)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u589, hAPP(hAPP(c_COMBC(_u589, tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_fun(_u589, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u589, tc_fun(tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_fun(_u589, tc_HOL_Obool)), _u589, c_COMBC(_u589, tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u589, tc_prod(_u589, _u589)), tc_fun(_u589, tc_fun(tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_HOL_Obool)), _u589, c_COMBB(tc_prod(_u589, _u589), tc_fun(tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_HOL_Obool), _u589, c_member(tc_prod(_u589, _u589)))), c_Product__Type_OPair(_u589, _u589)))), _u591)), _u593)) | hBOOL(hAPP(hAPP(c_member(_u589), _u593), c_Wellfounded_Oacc(_u589, _u591))) )).
% 43.94/44.11 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u590), _u594), c_Wellfounded_Oacc(_u590, _u592))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u590, hAPP(hAPP(c_COMBC(_u590, tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_fun(_u590, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u590, tc_fun(tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_fun(_u590, tc_HOL_Obool)), _u590, c_COMBC(_u590, tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u590, tc_prod(_u590, _u590)), tc_fun(_u590, tc_fun(tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_HOL_Obool)), _u590, c_COMBB(tc_prod(_u590, _u590), tc_fun(tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_HOL_Obool), _u590, c_member(tc_prod(_u590, _u590)))), c_Product__Type_OPair(_u590, _u590)))), _u592)), _u594)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u596), _u597), c_Wellfounded_Oacc(_u596, _u598))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u596, _u596)), hAPP(hAPP(c_Product__Type_OPair(_u596, _u596), skolem35(_u598, _u597, _u596)), _u597)), _u598)) )).
% 43.94/44.11 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u596), _u597), c_Wellfounded_Oacc(_u596, _u598))) | ~hBOOL(hAPP(hAPP(c_member(_u596), skolem35(_u598, _u597, _u596)), c_Wellfounded_Oacc(_u596, _u598))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u600), _u601), c_Wellfounded_Oacc(_u600, _u602))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u600, _u600)), hAPP(hAPP(c_Product__Type_OPair(_u600, _u600), skolem36(_u602, _u601, _u600)), _u601)), _u602)) )).
% 43.94/44.11 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u600), _u601), c_Wellfounded_Oacc(_u600, _u602))) | ~hBOOL(hAPP(hAPP(c_member(_u600), skolem36(_u602, _u601, _u600)), c_Wellfounded_Oacc(_u600, _u602))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_compose__extensional ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_compose__extensional-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u603, _u604)), c_FuncSet_Ocompose(_u603, _u605, _u604, _u606, _u607, _u608)), c_FuncSet_Oextensional(_u603, _u604, _u606))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u609), _u610), c_Wellfounded_Oacc(_u609, _u611))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u609, _u609)), hAPP(hAPP(c_Product__Type_OPair(_u609, _u609), _u612), _u610)), c_Transitive__Closure_Ortrancl(_u609, _u611))) | hBOOL(hAPP(hAPP(c_member(_u609), _u612), c_Wellfounded_Oacc(_u609, _u611))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u613, _u613)), hAPP(hAPP(c_Product__Type_OPair(_u613, _u613), _u614), _u615)), c_Transitive__Closure_Ortrancl(_u613, _u616))) | ~hBOOL(hAPP(hAPP(c_member(_u613), _u615), c_Wellfounded_Oacc(_u613, _u616))) | hBOOL(hAPP(hAPP(c_member(_u613), _u614), c_Wellfounded_Oacc(_u613, _u616))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u617, _u618, _u619) | ~hBOOL(hAPP(hAPP(c_member(_u617), _u620), _u618)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u617, _u617)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u617), _u620), _u620)), _u619)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u621, _u622, _u623) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u621, _u621)), hAPP(hAPP(c_Product__Type_OPair(_u621, _u621), _u624), _u625)), _u623)) | hBOOL(hAPP(hAPP(c_member(_u621), _u624), _u622)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u626, _u627), _u628)) | ~hBOOL(hAPP(hAPP(_u627, _u629), _u628)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u626, _u627), _u629)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u635, _u637), _u639)) | ~hBOOL(hAPP(hAPP(_u637, _u630), _u639)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u635, _u637), _u630)) )).
% 43.94/44.11 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u636, _u638), _u640)) | hBOOL(hAPP(hAPP(_u638, skolem37(_u640, _u638, _u636)), _u640)) )).
% 43.94/44.11 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u636, _u638), _u640)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u636, _u638), skolem37(_u640, _u638, _u636))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u646, _u648), _u650)) | ~hBOOL(hAPP(hAPP(_u648, _u641), _u650)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u646, _u648), _u641)) )).
% 43.94/44.11 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u647, _u649), _u651)) | hBOOL(hAPP(hAPP(_u649, skolem38(_u651, _u649, _u647)), _u651)) )).
% 43.94/44.11 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u647, _u649), _u651)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u647, _u649), skolem38(_u651, _u649, _u647))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u655, _u657, c_Relation_Oconverse(_u655, _u655, _u659)) | c_Relation_Orefl__on(_u655, _u657, _u659) )).
% 43.94/44.11 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u656, _u658, _u660) | c_Relation_Orefl__on(_u656, _u658, c_Relation_Oconverse(_u656, _u656, _u660)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u661, _u662, c_Relation_OId__on(_u661, _u662)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u663, _u664, _u665) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u663, _u663)), hAPP(hAPP(c_Product__Type_OPair(_u663, _u663), _u666), _u667)), _u665)) | hBOOL(hAPP(hAPP(c_member(_u663), _u667), _u664)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u668, _u668)), hAPP(hAPP(c_Product__Type_OPair(_u668, _u668), _u669), _u669)), c_Transitive__Closure_Ortrancl(_u668, _u670))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u671, _u671)), _u672), _u673)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u671, _u671)), _u672), c_Transitive__Closure_Ortrancl(_u671, _u673))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u674), _u675), c_Relation_ODomain(_u674, _u674, _u676))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u674, _u674)), hAPP(hAPP(c_Product__Type_OPair(_u674, _u674), _u675), _u677)), c_Transitive__Closure_Ortrancl(_u674, _u676))) | ( _u675 = _u677) )).
% 43.94/44.11 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u674), _u675), c_Relation_ODomain(_u674, _u674, _u676))) | ( _u675 != _u677) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u674, _u674)), hAPP(hAPP(c_Product__Type_OPair(_u674, _u674), _u675), _u677)), c_Transitive__Closure_Ortrancl(_u674, _u676))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u678, _u678)), hAPP(hAPP(c_Product__Type_OPair(_u678, _u678), _u679), _u680)), c_Transitive__Closure_Ortrancl(_u678, c_Relation_Oconverse(_u678, _u678, _u681)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u678, _u678)), hAPP(hAPP(c_Product__Type_OPair(_u678, _u678), _u680), _u679)), c_Transitive__Closure_Ortrancl(_u678, _u681))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u682, _u682)), hAPP(hAPP(c_Product__Type_OPair(_u682, _u682), _u683), _u684)), c_Transitive__Closure_Ortrancl(_u682, _u685))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u682, _u682)), hAPP(hAPP(c_Product__Type_OPair(_u682, _u682), _u684), _u683)), c_Transitive__Closure_Ortrancl(_u682, c_Relation_Oconverse(_u682, _u682, _u685)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u686, _u686)), hAPP(hAPP(c_Product__Type_OPair(_u686, _u686), _u687), _u688)), c_Transitive__Closure_Ortrancl(_u686, _u689))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u686, _u686)), hAPP(hAPP(c_Product__Type_OPair(_u686, _u686), _u688), _u690)), c_Transitive__Closure_Ortrancl(_u686, _u689))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u686, _u686)), hAPP(hAPP(c_Product__Type_OPair(_u686, _u686), _u687), _u690)), c_Transitive__Closure_Ortrancl(_u686, _u689))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u691, _u691)), hAPP(hAPP(c_Product__Type_OPair(_u691, _u691), _u692), _u693)), c_Transitive__Closure_Ortrancl(_u691, _u694))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u691, _u691)), hAPP(hAPP(c_Product__Type_OPair(_u691, _u691), _u693), _u695)), _u694)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u691, _u691)), hAPP(hAPP(c_Product__Type_OPair(_u691, _u691), _u692), _u695)), c_Transitive__Closure_Ortrancl(_u691, _u694))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u696, c_Transitive__Closure_Ortrancl(_u696, _u697)) = c_Transitive__Closure_Ortrancl(_u696, _u697)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u698, c_Relation_Oconverse(_u698, _u698, _u699)) = c_Relation_Oconverse(_u698, _u698, c_Transitive__Closure_Ortrancl(_u698, _u699))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u700, _u700)), hAPP(hAPP(c_Product__Type_OPair(_u700, _u700), _u701), _u702)), _u703)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u700, _u700)), hAPP(hAPP(c_Product__Type_OPair(_u700, _u700), _u702), _u704)), c_Transitive__Closure_Ortrancl(_u700, _u703))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u700, _u700)), hAPP(hAPP(c_Product__Type_OPair(_u700, _u700), _u701), _u704)), c_Transitive__Closure_Ortrancl(_u700, _u703))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_compose__Id ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_compose__Id-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u705, _u706)), _u707), c_FuncSet_OPi(_u705, _u706, _u708, c_COMBK(tc_fun(_u706, tc_HOL_Obool), _u705, _u709)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u705, _u706)), _u707), c_FuncSet_Oextensional(_u705, _u706, _u708))) | ( c_FuncSet_Ocompose(_u705, _u705, _u706, _u708, _u707, c_FuncSet_Orestrict(_u705, _u705, c_COMBI(_u705), _u708)) = _u707) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Id__compose ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Id__compose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u710, _u711)), _u712), c_FuncSet_OPi(_u710, _u711, _u713, c_COMBK(tc_fun(_u711, tc_HOL_Obool), _u710, _u714)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u710, _u711)), _u712), c_FuncSet_Oextensional(_u710, _u711, _u713))) | ( c_FuncSet_Ocompose(_u710, _u711, _u711, _u713, c_FuncSet_Orestrict(_u711, _u711, c_COMBI(_u711), _u714), _u712) = _u712) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u715, _u715, _u716) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u715, _u715)), hAPP(hAPP(c_Product__Type_OPair(_u715, _u715), _u717), _u718)), c_Transitive__Closure_Ortrancl(_u715, _u716))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u715, _u715)), hAPP(hAPP(c_Product__Type_OPair(_u715, _u715), _u717), _u719)), c_Transitive__Closure_Ortrancl(_u715, _u716))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u715, _u715)), hAPP(hAPP(c_Product__Type_OPair(_u715, _u715), _u718), _u719)), c_Transitive__Closure_Ortrancl(_u715, _u716))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u715, _u715)), hAPP(hAPP(c_Product__Type_OPair(_u715, _u715), _u719), _u718)), c_Transitive__Closure_Ortrancl(_u715, _u716))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__induct2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u726), _u727)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u728), _u729))), c_Transitive__Closure_Ortrancl(tc_prod(_u724, _u725), _u730))) | ~hBOOL(hAPP(hAPP(_u731, _u726), _u727)) | hBOOL(hAPP(hAPP(_u731, _u728), _u729)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u726), _u727)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), skolem39(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)), skolem40(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)))), c_Transitive__Closure_Ortrancl(tc_prod(_u724, _u725), _u730))) )).
% 43.94/44.11 cnf(fact_rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u726), _u727)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u728), _u729))), c_Transitive__Closure_Ortrancl(tc_prod(_u724, _u725), _u730))) | ~hBOOL(hAPP(hAPP(_u731, _u726), _u727)) | hBOOL(hAPP(hAPP(_u731, _u728), _u729)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), skolem39(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)), skolem40(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724))), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), skolem41(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)), skolem42(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)))), _u730)) )).
% 43.94/44.11 cnf(fact_rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u726), _u727)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u728), _u729))), c_Transitive__Closure_Ortrancl(tc_prod(_u724, _u725), _u730))) | ~hBOOL(hAPP(hAPP(_u731, _u726), _u727)) | hBOOL(hAPP(hAPP(_u731, _u728), _u729)) | hBOOL(hAPP(hAPP(_u731, skolem39(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)), skolem40(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724))) )).
% 43.94/44.11 cnf(fact_rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u726), _u727)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u728), _u729))), c_Transitive__Closure_Ortrancl(tc_prod(_u724, _u725), _u730))) | ~hBOOL(hAPP(hAPP(_u731, _u726), _u727)) | hBOOL(hAPP(hAPP(_u731, _u728), _u729)) | ~hBOOL(hAPP(hAPP(_u731, skolem41(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)), skolem42(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__rtrancl__induct2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u738), _u739)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u740), _u741))), c_Transitive__Closure_Ortrancl(tc_prod(_u736, _u737), _u742))) | ~hBOOL(hAPP(hAPP(_u743, _u740), _u741)) | hBOOL(hAPP(hAPP(_u743, _u738), _u739)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), skolem43(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)), skolem44(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736))), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), skolem45(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)), skolem46(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)))), _u742)) )).
% 43.94/44.11 cnf(fact_converse__rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u738), _u739)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u740), _u741))), c_Transitive__Closure_Ortrancl(tc_prod(_u736, _u737), _u742))) | ~hBOOL(hAPP(hAPP(_u743, _u740), _u741)) | hBOOL(hAPP(hAPP(_u743, _u738), _u739)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), skolem45(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)), skolem46(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736))), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u740), _u741))), c_Transitive__Closure_Ortrancl(tc_prod(_u736, _u737), _u742))) )).
% 43.94/44.11 cnf(fact_converse__rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u738), _u739)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u740), _u741))), c_Transitive__Closure_Ortrancl(tc_prod(_u736, _u737), _u742))) | ~hBOOL(hAPP(hAPP(_u743, _u740), _u741)) | hBOOL(hAPP(hAPP(_u743, _u738), _u739)) | hBOOL(hAPP(hAPP(_u743, skolem45(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)), skolem46(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736))) )).
% 43.94/44.11 cnf(fact_converse__rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u738), _u739)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u740), _u741))), c_Transitive__Closure_Ortrancl(tc_prod(_u736, _u737), _u742))) | ~hBOOL(hAPP(hAPP(_u743, _u740), _u741)) | hBOOL(hAPP(hAPP(_u743, _u738), _u739)) | ~hBOOL(hAPP(hAPP(_u743, skolem43(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)), skolem44(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__rtranclE2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__rtranclE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u746, _u747), tc_prod(_u746, _u747))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u746, _u747), tc_prod(_u746, _u747)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u748), _u749)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u750), _u751))), c_Transitive__Closure_Ortrancl(tc_prod(_u746, _u747), _u752))) | ( hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u748), _u749) = hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u750), _u751)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u746, _u747), tc_prod(_u746, _u747))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u746, _u747), tc_prod(_u746, _u747)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u748), _u749)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), skolem47(_u752, _u751, _u750, _u749, _u748, _u747, _u746)), skolem48(_u752, _u751, _u750, _u749, _u748, _u747, _u746)))), _u752)) )).
% 43.94/44.11 cnf(fact_converse__rtranclE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u746, _u747), tc_prod(_u746, _u747))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u746, _u747), tc_prod(_u746, _u747)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u748), _u749)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u750), _u751))), c_Transitive__Closure_Ortrancl(tc_prod(_u746, _u747), _u752))) | ( hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u748), _u749) = hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u750), _u751)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u746, _u747), tc_prod(_u746, _u747))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u746, _u747), tc_prod(_u746, _u747)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), skolem47(_u752, _u751, _u750, _u749, _u748, _u747, _u746)), skolem48(_u752, _u751, _u750, _u749, _u748, _u747, _u746))), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u750), _u751))), c_Transitive__Closure_Ortrancl(tc_prod(_u746, _u747), _u752))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__arb ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__arb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u753, _u754)), _u755), c_FuncSet_Oextensional(_u753, _u754, _u756))) | hBOOL(hAPP(hAPP(c_member(_u753), _u757), _u756)) | ( hAPP(_u755, _u757) = c_HOL_Oundefined(_u754)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_restrict__apply ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_restrict__apply-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u763), _u765), _u767)) | ( hAPP(c_FuncSet_Orestrict(_u763, _u769, _u771, _u767), _u765) = hAPP(_u771, _u765)) )).
% 43.94/44.11 cnf(fact_restrict__apply-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u764), _u766), _u768)) | ( hAPP(c_FuncSet_Orestrict(_u764, _u770, _u772, _u768), _u766) = c_HOL_Oundefined(_u770)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_restrict__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_restrict__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u778), _u780), _u782)) | ( hAPP(c_FuncSet_Orestrict(_u778, _u784, _u786, _u782), _u780) = hAPP(_u786, _u780)) )).
% 43.94/44.11 cnf(fact_restrict__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u779), _u781), _u783)) | ( hAPP(c_FuncSet_Orestrict(_u779, _u785, _u787, _u783), _u781) = c_HOL_Oundefined(_u785)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u788, _u788, c_Relation_OId__on(_u788, _u789)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_compose__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_compose__def-1, axiom, ( ( c_FuncSet_Ocompose(_u790, _u791, _u792, _u793, _u794, _u795) = c_FuncSet_Orestrict(_u790, _u792, hAPP(c_COMBB(_u791, _u792, _u790, _u794), _u795), _u793)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_restrict__extensional ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_restrict__extensional-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u796, _u797)), c_FuncSet_Orestrict(_u796, _u797, _u798, _u799)), c_FuncSet_Oextensional(_u796, _u797, _u799))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__restrict ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__restrict-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u800, _u801)), _u802), c_FuncSet_Oextensional(_u800, _u801, _u803))) | ( c_FuncSet_Orestrict(_u800, _u801, _u802, _u803) = _u802) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u804, _u805, _u806) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u804, _u805)), hAPP(hAPP(c_Product__Type_OPair(_u804, _u805), _u807), _u808)), _u806)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u804, _u805)), hAPP(hAPP(c_Product__Type_OPair(_u804, _u805), _u807), _u809)), _u806)) | ( _u808 = _u809) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u819, _u821, _u823) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u819, _u821)), hAPP(hAPP(c_Product__Type_OPair(_u819, _u821), _u812), _u811)), _u823)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u819, _u821)), hAPP(hAPP(c_Product__Type_OPair(_u819, _u821), _u812), _u810)), _u823)) | ( _u811 = _u810) )).
% 43.94/44.11 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u820, _u822, _u824) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u820, _u822)), hAPP(hAPP(c_Product__Type_OPair(_u820, _u822), skolem49(_u824, _u822, _u820)), skolem50(_u824, _u822, _u820))), _u824)) )).
% 43.94/44.11 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u820, _u822, _u824) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u820, _u822)), hAPP(hAPP(c_Product__Type_OPair(_u820, _u822), skolem49(_u824, _u822, _u820)), skolem51(_u824, _u822, _u820))), _u824)) )).
% 43.94/44.11 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u820, _u822, _u824) | ( skolem50(_u824, _u822, _u820) != skolem51(_u824, _u822, _u820)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_restrictI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_restrictI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u826, _u828)), c_FuncSet_Orestrict(_u826, _u828, _u829, _u827)), c_FuncSet_OPi(_u826, _u828, _u827, _u830))) | hBOOL(hAPP(hAPP(c_member(_u826), skolem52(_u830, _u829, _u828, _u827, _u826)), _u827)) )).
% 43.94/44.11 cnf(fact_restrictI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u826, _u828)), c_FuncSet_Orestrict(_u826, _u828, _u829, _u827)), c_FuncSet_OPi(_u826, _u828, _u827, _u830))) | ~hBOOL(hAPP(hAPP(c_member(_u828), hAPP(_u829, skolem52(_u830, _u829, _u828, _u827, _u826))), hAPP(_u830, skolem52(_u830, _u829, _u828, _u827, _u826)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_restrict__in__funcset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_restrict__in__funcset-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u832, _u834)), c_FuncSet_Orestrict(_u832, _u834, _u835, _u833)), c_FuncSet_OPi(_u832, _u834, _u833, c_COMBK(tc_fun(_u834, tc_HOL_Obool), _u832, _u836)))) | hBOOL(hAPP(hAPP(c_member(_u832), skolem53(_u836, _u835, _u834, _u833, _u832)), _u833)) )).
% 43.94/44.11 cnf(fact_restrict__in__funcset-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u832, _u834)), c_FuncSet_Orestrict(_u832, _u834, _u835, _u833)), c_FuncSet_OPi(_u832, _u834, _u833, c_COMBK(tc_fun(_u834, tc_HOL_Obool), _u832, _u836)))) | ~hBOOL(hAPP(hAPP(c_member(_u834), hAPP(_u835, skolem53(_u836, _u835, _u834, _u833, _u832))), _u836)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_cut__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_cut__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u843, _u843)), hAPP(hAPP(c_Product__Type_OPair(_u843, _u843), _u845), _u847)), _u849)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u843, _u851), _u853), _u849), _u847), _u845) = hAPP(_u853, _u845)) )).
% 43.94/44.11 cnf(fact_cut__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u844, _u844)), hAPP(hAPP(c_Product__Type_OPair(_u844, _u844), _u846), _u848)), _u850)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u844, _u852), _u854), _u850), _u848), _u846) = c_HOL_Oundefined(_u852)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__funcset__arb ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__funcset__arb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u855, _u856)), _u857), c_FuncSet_Oextensional__funcset(_u855, _u856, _u858, _u859))) | hBOOL(hAPP(hAPP(c_member(_u855), _u860), _u858)) | ( hAPP(_u857, _u860) = c_HOL_Oundefined(_u856)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensionalityI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensionalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u862, _u863)), _u864), c_FuncSet_Oextensional(_u862, _u863, _u865))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u862, _u863)), _u866), c_FuncSet_Oextensional(_u862, _u863, _u865))) | ( _u864 = _u866) | hBOOL(hAPP(hAPP(c_member(_u862), skolem54(_u866, _u865, _u864, _u863, _u862)), _u865)) )).
% 43.94/44.11 cnf(fact_extensionalityI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u862, _u863)), _u864), c_FuncSet_Oextensional(_u862, _u863, _u865))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u862, _u863)), _u866), c_FuncSet_Oextensional(_u862, _u863, _u865))) | ( _u864 = _u866) | ( hAPP(_u864, skolem54(_u866, _u865, _u864, _u863, _u862)) != hAPP(_u866, skolem54(_u866, _u865, _u864, _u863, _u862))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_single__valuedI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_single__valuedI-1, axiom, ( c_Relation_Osingle__valued(_u870, _u871, _u872) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u870, _u871)), hAPP(hAPP(c_Product__Type_OPair(_u870, _u871), skolem55(_u872, _u871, _u870)), skolem56(_u872, _u871, _u870))), _u872)) )).
% 43.94/44.11 cnf(fact_single__valuedI-2, axiom, ( c_Relation_Osingle__valued(_u870, _u871, _u872) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u870, _u871)), hAPP(hAPP(c_Product__Type_OPair(_u870, _u871), skolem55(_u872, _u871, _u870)), skolem57(_u872, _u871, _u870))), _u872)) )).
% 43.94/44.11 cnf(fact_single__valuedI-3, axiom, ( c_Relation_Osingle__valued(_u870, _u871, _u872) | ( skolem56(_u872, _u871, _u870) != skolem57(_u872, _u871, _u870)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__induct ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), _u876), _u877)), c_Transitive__Closure_Ortrancl(_u875, _u878))) | ~hBOOL(hAPP(_u879, _u876)) | hBOOL(hAPP(_u879, _u877)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), _u876), skolem58(_u879, _u878, _u877, _u876, _u875))), c_Transitive__Closure_Ortrancl(_u875, _u878))) )).
% 43.94/44.11 cnf(fact_rtrancl__induct-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), _u876), _u877)), c_Transitive__Closure_Ortrancl(_u875, _u878))) | ~hBOOL(hAPP(_u879, _u876)) | hBOOL(hAPP(_u879, _u877)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), skolem58(_u879, _u878, _u877, _u876, _u875)), skolem59(_u879, _u878, _u877, _u876, _u875))), _u878)) )).
% 43.94/44.11 cnf(fact_rtrancl__induct-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), _u876), _u877)), c_Transitive__Closure_Ortrancl(_u875, _u878))) | ~hBOOL(hAPP(_u879, _u876)) | hBOOL(hAPP(_u879, _u877)) | hBOOL(hAPP(_u879, skolem58(_u879, _u878, _u877, _u876, _u875))) )).
% 43.94/44.11 cnf(fact_rtrancl__induct-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), _u876), _u877)), c_Transitive__Closure_Ortrancl(_u875, _u878))) | ~hBOOL(hAPP(_u879, _u876)) | hBOOL(hAPP(_u879, _u877)) | ~hBOOL(hAPP(_u879, skolem59(_u879, _u878, _u877, _u876, _u875))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__funcset__mem ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__funcset__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u880, _u881)), _u882), c_FuncSet_Oextensional__funcset(_u880, _u881, _u883, _u884))) | ~hBOOL(hAPP(hAPP(c_member(_u880), _u885), _u883)) | hBOOL(hAPP(hAPP(c_member(_u881), hAPP(_u882, _u885)), _u884)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_tfl__cut__apply ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_tfl__cut__apply-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u888, _u888)), hAPP(hAPP(c_Product__Type_OPair(_u888, _u888), _u889), _u890)), _u886)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u888, _u891), _u887), _u886), _u890), _u889) = hAPP(_u887, _u889)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_cuts__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_cuts__eq-1, axiom, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u900, _u902), _u904), _u906), _u908) != hAPP(hAPP(hAPP(c_Recdef_Ocut(_u900, _u902), _u910), _u906), _u908)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u900, _u900)), hAPP(hAPP(c_Product__Type_OPair(_u900, _u900), _u892), _u908)), _u906)) | ( hAPP(_u904, _u892) = hAPP(_u910, _u892)) )).
% 43.94/44.11 cnf(fact_cuts__eq-2, axiom, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u901, _u903), _u905), _u907), _u909) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_u901, _u903), _u911), _u907), _u909)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u901, _u901)), hAPP(hAPP(c_Product__Type_OPair(_u901, _u901), skolem60(_u911, _u909, _u907, _u905, _u903, _u901)), _u909)), _u907)) )).
% 43.94/44.11 cnf(fact_cuts__eq-3, axiom, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u901, _u903), _u905), _u907), _u909) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_u901, _u903), _u911), _u907), _u909)) | ( hAPP(_u905, skolem60(_u911, _u909, _u907, _u905, _u903, _u901)) != hAPP(_u911, skolem60(_u911, _u909, _u907, _u905, _u903, _u901))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_cut__apply ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_cut__apply-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u912, _u912)), hAPP(hAPP(c_Product__Type_OPair(_u912, _u912), _u913), _u914)), _u915)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u912, _u916), _u917), _u915), _u914), _u913) = hAPP(_u917, _u913)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_adm__lemma ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_adm__lemma-1, axiom, ( c_Recdef_Oadm__wf(_u918, _u919, _u920, hAPP(hAPP(c_COMBC(tc_fun(_u918, _u919), tc_fun(_u918, _u918), tc_fun(_u918, _u919)), hAPP(c_COMBB(tc_fun(_u918, tc_fun(_u918, _u919)), tc_fun(tc_fun(_u918, _u918), tc_fun(_u918, _u919)), tc_fun(_u918, _u919), c_COMBS(_u918, _u918, _u919)), hAPP(c_COMBB(tc_fun(_u918, tc_fun(_u918, _u919)), tc_fun(_u918, tc_fun(_u918, _u919)), tc_fun(_u918, _u919), c_COMBB(tc_fun(_u918, _u919), tc_fun(_u918, _u919), _u918, _u921)), hAPP(hAPP(c_COMBC(tc_fun(_u918, _u919), tc_fun(tc_prod(_u918, _u918), tc_HOL_Obool), tc_fun(_u918, tc_fun(_u918, _u919))), c_Recdef_Ocut(_u918, _u919)), _u920)))), c_COMBI(_u918))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__funcset__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__funcset__def-1, axiom, ( ( c_FuncSet_Oextensional__funcset(_u922, _u923, _u924, _u925) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u922, _u923), tc_HOL_Obool), c_FuncSet_OPi(_u922, _u923, _u924, c_COMBK(tc_fun(_u923, tc_HOL_Obool), _u922, _u925)), c_FuncSet_Oextensional(_u922, _u923, _u924))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtranclE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtranclE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u927, _u927)), hAPP(hAPP(c_Product__Type_OPair(_u927, _u927), _u928), _u929)), c_Transitive__Closure_Ortrancl(_u927, _u930))) | ( _u928 = _u929) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u927, _u927)), hAPP(hAPP(c_Product__Type_OPair(_u927, _u927), _u928), skolem61(_u930, _u929, _u928, _u927))), c_Transitive__Closure_Ortrancl(_u927, _u930))) )).
% 43.94/44.11 cnf(fact_rtranclE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u927, _u927)), hAPP(hAPP(c_Product__Type_OPair(_u927, _u927), _u928), _u929)), c_Transitive__Closure_Ortrancl(_u927, _u930))) | ( _u928 = _u929) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u927, _u927)), hAPP(hAPP(c_Product__Type_OPair(_u927, _u927), skolem61(_u930, _u929, _u928, _u927)), _u929)), _u930)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__rtranclE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__rtranclE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u932, _u932)), hAPP(hAPP(c_Product__Type_OPair(_u932, _u932), _u933), _u934)), c_Transitive__Closure_Ortrancl(_u932, _u935))) | ( _u933 = _u934) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u932, _u932)), hAPP(hAPP(c_Product__Type_OPair(_u932, _u932), _u933), skolem62(_u935, _u934, _u933, _u932))), _u935)) )).
% 43.94/44.11 cnf(fact_converse__rtranclE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u932, _u932)), hAPP(hAPP(c_Product__Type_OPair(_u932, _u932), _u933), _u934)), c_Transitive__Closure_Ortrancl(_u932, _u935))) | ( _u933 = _u934) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u932, _u932)), hAPP(hAPP(c_Product__Type_OPair(_u932, _u932), skolem62(_u935, _u934, _u933, _u932)), _u934)), c_Transitive__Closure_Ortrancl(_u932, _u935))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__rtrancl__induct ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__rtrancl__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), _u939), _u940)), c_Transitive__Closure_Ortrancl(_u938, _u941))) | ~hBOOL(hAPP(_u942, _u940)) | hBOOL(hAPP(_u942, _u939)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), skolem63(_u942, _u941, _u940, _u939, _u938)), skolem64(_u942, _u941, _u940, _u939, _u938))), _u941)) )).
% 43.94/44.11 cnf(fact_converse__rtrancl__induct-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), _u939), _u940)), c_Transitive__Closure_Ortrancl(_u938, _u941))) | ~hBOOL(hAPP(_u942, _u940)) | hBOOL(hAPP(_u942, _u939)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), skolem64(_u942, _u941, _u940, _u939, _u938)), _u940)), c_Transitive__Closure_Ortrancl(_u938, _u941))) )).
% 43.94/44.11 cnf(fact_converse__rtrancl__induct-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), _u939), _u940)), c_Transitive__Closure_Ortrancl(_u938, _u941))) | ~hBOOL(hAPP(_u942, _u940)) | hBOOL(hAPP(_u942, _u939)) | hBOOL(hAPP(_u942, skolem64(_u942, _u941, _u940, _u939, _u938))) )).
% 43.94/44.11 cnf(fact_converse__rtrancl__induct-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), _u939), _u940)), c_Transitive__Closure_Ortrancl(_u938, _u941))) | ~hBOOL(hAPP(_u942, _u940)) | hBOOL(hAPP(_u942, _u939)) | ~hBOOL(hAPP(_u942, skolem63(_u942, _u941, _u940, _u939, _u938))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u943, _u943)), hAPP(hAPP(c_Product__Type_OPair(_u943, _u943), _u944), _u945)), c_Transitive__Closure_Otrancl(_u943, _u946))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u943, _u943)), hAPP(hAPP(c_Product__Type_OPair(_u943, _u943), _u944), _u945)), c_Transitive__Closure_Ortrancl(_u943, _u946))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u947, tc_HOL_Obool), _u948, _u949), _u950)) | hBOOL(hAPP(_u948, _u950)) )).
% 43.94/44.11 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u947, tc_HOL_Obool), _u948, _u949), _u950)) | hBOOL(hAPP(_u949, _u950)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u951, _u952)) | ~hBOOL(hAPP(_u953, _u952)) | hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u954, tc_HOL_Obool), _u951, _u953), _u952)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_IntE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u955), _u956), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u955, tc_HOL_Obool), _u957, _u958))) | hBOOL(hAPP(hAPP(c_member(_u955), _u956), _u957)) )).
% 43.94/44.11 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u955), _u956), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u955, tc_HOL_Obool), _u957, _u958))) | hBOOL(hAPP(hAPP(c_member(_u955), _u956), _u958)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_IntI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u959), _u960), _u961)) | ~hBOOL(hAPP(hAPP(c_member(_u959), _u960), _u962)) | hBOOL(hAPP(hAPP(c_member(_u959), _u960), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u959, tc_HOL_Obool), _u961, _u962))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u963, _u963)), hAPP(hAPP(c_Product__Type_OPair(_u963, _u963), _u964), _u965)), _u966)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u963, _u963)), hAPP(hAPP(c_Product__Type_OPair(_u963, _u963), _u964), _u965)), c_Transitive__Closure_Otrancl(_u963, _u966))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u969, _u970)) | ~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u967, tc_HOL_Obool), _u968, _u969), _u970)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u972, _u974)) | ~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u971, tc_HOL_Obool), _u972, _u973), _u974)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__assoc-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u975, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u975, tc_HOL_Obool), _u976, _u977), _u978) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u975, tc_HOL_Obool), _u976, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u975, tc_HOL_Obool), _u977, _u978))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__left__commute-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u979, tc_HOL_Obool), _u980, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u979, tc_HOL_Obool), _u981, _u982)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u979, tc_HOL_Obool), _u981, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u979, tc_HOL_Obool), _u980, _u982))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__left__absorb-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u983, tc_HOL_Obool), _u984, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u983, tc_HOL_Obool), _u984, _u985)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u983, tc_HOL_Obool), _u984, _u985)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__commute-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u986, tc_HOL_Obool), _u987, _u988) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u986, tc_HOL_Obool), _u988, _u987)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__absorb-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u989, tc_HOL_Obool), _u990, _u990) = _u990) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u991, _u992, _u993) | ~c_Relation_Orefl__on(_u991, _u994, _u995) | c_Relation_Orefl__on(_u991, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u991, tc_HOL_Obool), _u992, _u994), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u991, _u991), tc_HOL_Obool), _u993, _u995)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u996), _u997), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u996, tc_HOL_Obool), _u998, _u999))) | hBOOL(hAPP(hAPP(c_member(_u996), _u997), _u999)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1000), _u1001), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1000, tc_HOL_Obool), _u1002, _u1003))) | hBOOL(hAPP(hAPP(c_member(_u1000), _u1001), _u1002)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1008), _u1010), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1008, tc_HOL_Obool), _u1012, _u1014))) | hBOOL(hAPP(hAPP(c_member(_u1008), _u1010), _u1012)) )).
% 43.94/44.11 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1008), _u1010), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1008, tc_HOL_Obool), _u1012, _u1014))) | hBOOL(hAPP(hAPP(c_member(_u1008), _u1010), _u1014)) )).
% 43.94/44.11 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1009), _u1011), _u1013)) | ~hBOOL(hAPP(hAPP(c_member(_u1009), _u1011), _u1015)) | hBOOL(hAPP(hAPP(c_member(_u1009), _u1011), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1009, tc_HOL_Obool), _u1013, _u1015))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1016, _u1016)), _u1017), _u1018)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1016, _u1016)), _u1017), c_Transitive__Closure_Otrancl(_u1016, _u1018))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u1019, c_Transitive__Closure_Otrancl(_u1019, _u1020)) = c_Transitive__Closure_Ortrancl(_u1019, _u1020)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u1021, c_Transitive__Closure_Ortrancl(_u1021, _u1022)) = c_Transitive__Closure_Ortrancl(_u1021, _u1022)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u1023, c_Relation_Oconverse(_u1023, _u1023, _u1024)) = c_Relation_Oconverse(_u1023, _u1023, c_Transitive__Closure_Otrancl(_u1023, _u1024))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__domain-1, axiom, ( ( c_Relation_ODomain(_u1025, _u1025, c_Transitive__Closure_Otrancl(_u1025, _u1026)) = c_Relation_ODomain(_u1025, _u1025, _u1026)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__range-1, axiom, ( ( c_Relation_ORange(_u1027, _u1027, c_Transitive__Closure_Otrancl(_u1027, _u1028)) = c_Relation_ORange(_u1027, _u1027, _u1028)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1033, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1033, tc_fun(_u1033, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1033)), _u1035), hAPP(hAPP(c_COMBC(_u1033, tc_fun(_u1033, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1033)), _u1037)), _u1039)) | hBOOL(hAPP(hAPP(c_member(_u1033), _u1039), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1033, tc_HOL_Obool), _u1035, _u1037))) )).
% 43.94/44.11 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1034), _u1040), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1034, tc_HOL_Obool), _u1036, _u1038))) | hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1034, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1034, tc_fun(_u1034, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1034)), _u1036), hAPP(hAPP(c_COMBC(_u1034, tc_fun(_u1034, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1034)), _u1038)), _u1040)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__trans-1, axiom, ( ~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))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1041, _u1041)), hAPP(hAPP(c_Product__Type_OPair(_u1041, _u1041), _u1043), _u1045)), c_Transitive__Closure_Otrancl(_u1041, _u1044))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1041, _u1041)), hAPP(hAPP(c_Product__Type_OPair(_u1041, _u1041), _u1042), _u1045)), c_Transitive__Closure_Otrancl(_u1041, _u1044))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1046, _u1046)), hAPP(hAPP(c_Product__Type_OPair(_u1046, _u1046), _u1047), _u1048)), c_Transitive__Closure_Otrancl(_u1046, _u1049))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1046, _u1046)), hAPP(hAPP(c_Product__Type_OPair(_u1046, _u1046), _u1048), _u1050)), _u1049)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1046, _u1046)), hAPP(hAPP(c_Product__Type_OPair(_u1046, _u1046), _u1047), _u1050)), c_Transitive__Closure_Otrancl(_u1046, _u1049))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1051, _u1051)), hAPP(hAPP(c_Product__Type_OPair(_u1051, _u1051), _u1052), _u1053)), _u1054)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1051, _u1051)), hAPP(hAPP(c_Product__Type_OPair(_u1051, _u1051), _u1053), _u1055)), c_Transitive__Closure_Otrancl(_u1051, _u1054))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1051, _u1051)), hAPP(hAPP(c_Product__Type_OPair(_u1051, _u1051), _u1052), _u1055)), c_Transitive__Closure_Otrancl(_u1051, _u1054))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1056, _u1056)), hAPP(hAPP(c_Product__Type_OPair(_u1056, _u1056), _u1057), _u1058)), _u1059)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1056, _u1056)), hAPP(hAPP(c_Product__Type_OPair(_u1056, _u1056), _u1058), _u1060)), _u1059)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1056, _u1056)), hAPP(hAPP(c_Product__Type_OPair(_u1056, _u1056), _u1057), _u1060)), c_Transitive__Closure_Otrancl(_u1056, _u1059))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1065, _u1065)), hAPP(hAPP(c_Product__Type_OPair(_u1065, _u1065), _u1067), _u1069)), c_Transitive__Closure_Ortrancl(_u1065, _u1071))) | ( _u1067 = _u1069) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1065, _u1065)), hAPP(hAPP(c_Product__Type_OPair(_u1065, _u1065), _u1067), _u1069)), c_Transitive__Closure_Otrancl(_u1065, _u1071))) )).
% 43.94/44.11 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1066, _u1066)), hAPP(hAPP(c_Product__Type_OPair(_u1066, _u1066), _u1068), _u1070)), c_Transitive__Closure_Ortrancl(_u1066, _u1072))) | ( _u1068 != _u1070) )).
% 43.94/44.11 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1066, _u1066)), hAPP(hAPP(c_Product__Type_OPair(_u1066, _u1066), _u1068), _u1070)), c_Transitive__Closure_Ortrancl(_u1066, _u1072))) | ( _u1068 = _u1070) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1066, _u1066)), hAPP(hAPP(c_Product__Type_OPair(_u1066, _u1066), _u1068), _u1070)), c_Transitive__Closure_Otrancl(_u1066, _u1072))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__into__trancl2-1, 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)), c_Transitive__Closure_Ortrancl(_u1073, _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))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1078, _u1078)), hAPP(hAPP(c_Product__Type_OPair(_u1078, _u1078), _u1079), _u1080)), c_Transitive__Closure_Ortrancl(_u1078, _u1081))) | ( _u1079 = _u1080) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1078, _u1078)), hAPP(hAPP(c_Product__Type_OPair(_u1078, _u1078), _u1079), _u1080)), c_Transitive__Closure_Otrancl(_u1078, _u1081))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1082, _u1082)), hAPP(hAPP(c_Product__Type_OPair(_u1082, _u1082), _u1083), _u1084)), c_Transitive__Closure_Ortrancl(_u1082, _u1085))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1082, _u1082)), hAPP(hAPP(c_Product__Type_OPair(_u1082, _u1082), _u1084), _u1086)), _u1085)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1082, _u1082)), hAPP(hAPP(c_Product__Type_OPair(_u1082, _u1082), _u1083), _u1086)), c_Transitive__Closure_Otrancl(_u1082, _u1085))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1087, _u1087)), hAPP(hAPP(c_Product__Type_OPair(_u1087, _u1087), _u1088), _u1089)), c_Transitive__Closure_Otrancl(_u1087, _u1090))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1087, _u1087)), hAPP(hAPP(c_Product__Type_OPair(_u1087, _u1087), _u1089), _u1091)), c_Transitive__Closure_Ortrancl(_u1087, _u1090))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1087, _u1087)), hAPP(hAPP(c_Product__Type_OPair(_u1087, _u1087), _u1088), _u1091)), c_Transitive__Closure_Otrancl(_u1087, _u1090))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1092, _u1092)), hAPP(hAPP(c_Product__Type_OPair(_u1092, _u1092), _u1093), _u1094)), c_Transitive__Closure_Ortrancl(_u1092, _u1095))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1092, _u1092)), hAPP(hAPP(c_Product__Type_OPair(_u1092, _u1092), _u1094), _u1096)), c_Transitive__Closure_Otrancl(_u1092, _u1095))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1092, _u1092)), hAPP(hAPP(c_Product__Type_OPair(_u1092, _u1092), _u1093), _u1096)), c_Transitive__Closure_Otrancl(_u1092, _u1095))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1097, _u1097)), hAPP(hAPP(c_Product__Type_OPair(_u1097, _u1097), _u1098), _u1099)), c_Transitive__Closure_Otrancl(_u1097, c_Relation_Oconverse(_u1097, _u1097, _u1100)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1097, _u1097)), hAPP(hAPP(c_Product__Type_OPair(_u1097, _u1097), _u1098), _u1099)), c_Relation_Oconverse(_u1097, _u1097, c_Transitive__Closure_Otrancl(_u1097, _u1100)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1101, _u1101)), hAPP(hAPP(c_Product__Type_OPair(_u1101, _u1101), _u1102), _u1103)), c_Relation_Oconverse(_u1101, _u1101, c_Transitive__Closure_Otrancl(_u1101, _u1104)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1101, _u1101)), hAPP(hAPP(c_Product__Type_OPair(_u1101, _u1101), _u1102), _u1103)), c_Transitive__Closure_Otrancl(_u1101, c_Relation_Oconverse(_u1101, _u1101, _u1104)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u1105) | ( hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1106, _u1105), _u1107, _u1108), _u1109) = c_Lattices_Osemilattice__inf__class_Oinf(_u1105, hAPP(_u1107, _u1109), hAPP(_u1108, _u1109))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u1110) | ( hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1111, _u1110), _u1112, _u1113), _u1114) = c_Lattices_Osemilattice__inf__class_Oinf(_u1110, hAPP(_u1112, _u1114), hAPP(_u1113, _u1114))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1116, _u1116)), hAPP(hAPP(c_Product__Type_OPair(_u1116, _u1116), _u1117), _u1118)), c_Transitive__Closure_Otrancl(_u1116, _u1119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1116, _u1116)), hAPP(hAPP(c_Product__Type_OPair(_u1116, _u1116), _u1117), skolem65(_u1119, _u1118, _u1117, _u1116))), _u1119)) )).
% 43.94/44.11 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1116, _u1116)), hAPP(hAPP(c_Product__Type_OPair(_u1116, _u1116), _u1117), _u1118)), c_Transitive__Closure_Otrancl(_u1116, _u1119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1116, _u1116)), hAPP(hAPP(c_Product__Type_OPair(_u1116, _u1116), skolem65(_u1119, _u1118, _u1117, _u1116)), _u1118)), c_Transitive__Closure_Ortrancl(_u1116, _u1119))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1121, _u1121)), hAPP(hAPP(c_Product__Type_OPair(_u1121, _u1121), _u1122), _u1123)), c_Transitive__Closure_Otrancl(_u1121, _u1124))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1121, _u1121)), hAPP(hAPP(c_Product__Type_OPair(_u1121, _u1121), _u1122), skolem66(_u1124, _u1123, _u1122, _u1121))), c_Transitive__Closure_Ortrancl(_u1121, _u1124))) )).
% 43.94/44.11 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1121, _u1121)), hAPP(hAPP(c_Product__Type_OPair(_u1121, _u1121), _u1122), _u1123)), c_Transitive__Closure_Otrancl(_u1121, _u1124))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1121, _u1121)), hAPP(hAPP(c_Product__Type_OPair(_u1121, _u1121), skolem66(_u1124, _u1123, _u1122, _u1121)), _u1123)), _u1124)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u1129, _u1131) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1129, _u1129)), hAPP(hAPP(c_Product__Type_OPair(_u1129, _u1129), _u1125), _u1125)), c_Transitive__Closure_Otrancl(_u1129, _u1131))) )).
% 43.94/44.11 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1130, _u1130)), hAPP(hAPP(c_Product__Type_OPair(_u1130, _u1130), skolem67(_u1132, _u1130)), skolem67(_u1132, _u1130))), c_Transitive__Closure_Otrancl(_u1130, _u1132))) | c_Wellfounded_Oacyclic(_u1130, _u1132) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_adm__wf__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_adm__wf__def-1, axiom, ( ~c_Recdef_Oadm__wf(_u1145, _u1147, _u1149, _u1151) | ( hAPP(hAPP(_u1151, _u1136), _u1134) = hAPP(hAPP(_u1151, _u1135), _u1134)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1145, _u1145)), hAPP(hAPP(c_Product__Type_OPair(_u1145, _u1145), skolem68(_u1151, _u1149, _u1147, _u1145, _u1136, _u1135, _u1134)), _u1134)), _u1149)) )).
% 43.94/44.11 cnf(fact_adm__wf__def-2, axiom, ( ~c_Recdef_Oadm__wf(_u1145, _u1147, _u1149, _u1151) | ( hAPP(hAPP(_u1151, _u1136), _u1134) = hAPP(hAPP(_u1151, _u1135), _u1134)) | ( hAPP(_u1136, skolem68(_u1151, _u1149, _u1147, _u1145, _u1136, _u1135, _u1134)) != hAPP(_u1135, skolem68(_u1151, _u1149, _u1147, _u1145, _u1136, _u1135, _u1134))) )).
% 43.94/44.11 cnf(fact_adm__wf__def-3, axiom, ( c_Recdef_Oadm__wf(_u1146, _u1148, _u1150, _u1152) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1146, _u1146)), hAPP(hAPP(c_Product__Type_OPair(_u1146, _u1146), _u1137), skolem71(_u1152, _u1150, _u1148, _u1146))), _u1150)) | ( hAPP(skolem69(_u1152, _u1150, _u1148, _u1146), _u1137) = hAPP(skolem70(_u1152, _u1150, _u1148, _u1146), _u1137)) )).
% 43.94/44.11 cnf(fact_adm__wf__def-4, axiom, ( c_Recdef_Oadm__wf(_u1146, _u1148, _u1150, _u1152) | ( hAPP(hAPP(_u1152, skolem69(_u1152, _u1150, _u1148, _u1146)), skolem71(_u1152, _u1150, _u1148, _u1146)) != hAPP(hAPP(_u1152, skolem70(_u1152, _u1150, _u1148, _u1146)), skolem71(_u1152, _u1150, _u1148, _u1146))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1159, tc_fun(_u1161, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1159, tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_fun(_u1161, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1161, tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_fun(_u1161, tc_HOL_Obool)), _u1159, c_COMBC(_u1161, tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1161, tc_prod(_u1159, _u1161)), tc_fun(_u1161, tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), _u1159, c_COMBB(tc_prod(_u1159, _u1161), tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool), _u1161, c_member(tc_prod(_u1159, _u1161)))), c_Product__Type_OPair(_u1159, _u1161)))), _u1163), hAPP(hAPP(c_COMBC(_u1159, tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_fun(_u1161, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1161, tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_fun(_u1161, tc_HOL_Obool)), _u1159, c_COMBC(_u1161, tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1161, tc_prod(_u1159, _u1161)), tc_fun(_u1161, tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), _u1159, c_COMBB(tc_prod(_u1159, _u1161), tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool), _u1161, c_member(tc_prod(_u1159, _u1161)))), c_Product__Type_OPair(_u1159, _u1161)))), _u1165)), _u1167), _u1169)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1159, _u1161)), hAPP(hAPP(c_Product__Type_OPair(_u1159, _u1161), _u1167), _u1169)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), _u1163, _u1165))) )).
% 43.94/44.11 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1160, _u1162)), hAPP(hAPP(c_Product__Type_OPair(_u1160, _u1162), _u1168), _u1170)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), _u1164, _u1166))) | hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1160, tc_fun(_u1162, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1160, tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_fun(_u1162, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1162, tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_fun(_u1162, tc_HOL_Obool)), _u1160, c_COMBC(_u1162, tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1162, tc_prod(_u1160, _u1162)), tc_fun(_u1162, tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), _u1160, c_COMBB(tc_prod(_u1160, _u1162), tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool), _u1162, c_member(tc_prod(_u1160, _u1162)))), c_Product__Type_OPair(_u1160, _u1162)))), _u1164), hAPP(hAPP(c_COMBC(_u1160, tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_fun(_u1162, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1162, tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_fun(_u1162, tc_HOL_Obool)), _u1160, c_COMBC(_u1162, tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1162, tc_prod(_u1160, _u1162)), tc_fun(_u1162, tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), _u1160, c_COMBB(tc_prod(_u1160, _u1162), tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool), _u1162, c_member(tc_prod(_u1160, _u1162)))), c_Product__Type_OPair(_u1160, _u1162)))), _u1166)), _u1168), _u1170)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__meet ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__meet-1, axiom, ( ( c_Predicate_Oconversep(_u1171, _u1172, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1171, tc_fun(_u1172, tc_HOL_Obool)), _u1173, _u1174)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1172, tc_fun(_u1171, tc_HOL_Obool)), c_Predicate_Oconversep(_u1171, _u1172, _u1173), c_Predicate_Oconversep(_u1171, _u1172, _u1174))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__Int-1, axiom, ( ( c_Relation_Oconverse(_u1175, _u1176, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1175, _u1176), tc_HOL_Obool), _u1177, _u1178)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1176, _u1175), tc_HOL_Obool), c_Relation_Oconverse(_u1175, _u1176, _u1177), c_Relation_Oconverse(_u1175, _u1176, _u1178))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u1181, c_Relation_Oconverse(_u1181, _u1181, _u1183)) | c_Wellfounded_Oacyclic(_u1181, _u1183) )).
% 43.94/44.11 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u1182, _u1184) | c_Wellfounded_Oacyclic(_u1182, c_Relation_Oconverse(_u1182, _u1182, _u1184)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1185) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1185, c_Lattices_Osemilattice__inf__class_Oinf(_u1185, _u1186, _u1187), _u1188) = c_Lattices_Osemilattice__inf__class_Oinf(_u1185, _u1186, c_Lattices_Osemilattice__inf__class_Oinf(_u1185, _u1187, _u1188))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1189) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1189, c_Lattices_Osemilattice__inf__class_Oinf(_u1189, _u1190, _u1191), _u1192) = c_Lattices_Osemilattice__inf__class_Oinf(_u1189, _u1190, c_Lattices_Osemilattice__inf__class_Oinf(_u1189, _u1191, _u1192))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1193) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1193, c_Lattices_Osemilattice__inf__class_Oinf(_u1193, _u1194, _u1195), _u1196) = c_Lattices_Osemilattice__inf__class_Oinf(_u1193, _u1194, c_Lattices_Osemilattice__inf__class_Oinf(_u1193, _u1195, _u1196))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1197) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1197, _u1198, c_Lattices_Osemilattice__inf__class_Oinf(_u1197, _u1199, _u1200)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1197, _u1199, c_Lattices_Osemilattice__inf__class_Oinf(_u1197, _u1198, _u1200))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u1201) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1201, _u1202, c_Lattices_Osemilattice__inf__class_Oinf(_u1201, _u1203, _u1204)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1201, _u1203, c_Lattices_Osemilattice__inf__class_Oinf(_u1201, _u1202, _u1204))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1205) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1205, _u1206, c_Lattices_Osemilattice__inf__class_Oinf(_u1205, _u1207, _u1208)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1205, _u1207, c_Lattices_Osemilattice__inf__class_Oinf(_u1205, _u1206, _u1208))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1209) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1209, _u1210, c_Lattices_Osemilattice__inf__class_Oinf(_u1209, _u1210, _u1211)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1209, _u1210, _u1211)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u1212) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1212, _u1213, c_Lattices_Osemilattice__inf__class_Oinf(_u1212, _u1213, _u1214)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1212, _u1213, _u1214)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1215) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1215, _u1216, c_Lattices_Osemilattice__inf__class_Oinf(_u1215, _u1216, _u1217)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1215, _u1216, _u1217)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1218) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1218, _u1219, _u1220) = c_Lattices_Osemilattice__inf__class_Oinf(_u1218, _u1220, _u1219)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1221) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1221, _u1222, _u1223) = c_Lattices_Osemilattice__inf__class_Oinf(_u1221, _u1223, _u1222)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1224) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1224, _u1225, _u1226) = c_Lattices_Osemilattice__inf__class_Oinf(_u1224, _u1226, _u1225)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1227) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1227, _u1228, _u1228) = _u1228) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1229) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1229, _u1230, _u1230) = _u1230) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_irrefl__tranclI-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1231, _u1231), tc_HOL_Obool), c_Relation_Oconverse(_u1231, _u1231, _u1232), c_Transitive__Closure_Ortrancl(_u1231, _u1232)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1231, _u1231), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1231, _u1231)), hAPP(hAPP(c_Product__Type_OPair(_u1231, _u1231), _u1233), _u1233)), c_Transitive__Closure_Otrancl(_u1231, _u1232))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1235, _u1235)), hAPP(hAPP(c_Product__Type_OPair(_u1235, _u1235), skolem72(_u1236, _u1235)), skolem72(_u1236, _u1235))), c_Transitive__Closure_Otrancl(_u1235, _u1236))) | c_Wellfounded_Oacyclic(_u1235, _u1236) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u1241, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u1241, _u1241)), hAPP(hAPP(c_Product__Type_OPair(_u1241, _u1241), _u1243), _u1245)), _u1247)) | c_Wellfounded_Oacyclic(_u1241, _u1247) )).
% 43.94/44.11 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u1241, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u1241, _u1241)), hAPP(hAPP(c_Product__Type_OPair(_u1241, _u1241), _u1243), _u1245)), _u1247)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1241, _u1241)), hAPP(hAPP(c_Product__Type_OPair(_u1241, _u1241), _u1245), _u1243)), c_Transitive__Closure_Ortrancl(_u1241, _u1247))) )).
% 43.94/44.11 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u1242, _u1248) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1242, _u1242)), hAPP(hAPP(c_Product__Type_OPair(_u1242, _u1242), _u1246), _u1244)), c_Transitive__Closure_Ortrancl(_u1242, _u1248))) | c_Wellfounded_Oacyclic(_u1242, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u1242, _u1242)), hAPP(hAPP(c_Product__Type_OPair(_u1242, _u1242), _u1244), _u1246)), _u1248)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_tranclE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_tranclE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), _u1251), _u1252)), c_Transitive__Closure_Otrancl(_u1250, _u1253))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), _u1251), _u1252)), _u1253)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), _u1251), skolem73(_u1253, _u1252, _u1251, _u1250))), c_Transitive__Closure_Otrancl(_u1250, _u1253))) )).
% 43.94/44.11 cnf(fact_tranclE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), _u1251), _u1252)), c_Transitive__Closure_Otrancl(_u1250, _u1253))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), _u1251), _u1252)), _u1253)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), skolem73(_u1253, _u1252, _u1251, _u1250)), _u1252)), _u1253)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_converse__tranclE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_converse__tranclE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), _u1256), _u1257)), c_Transitive__Closure_Otrancl(_u1255, _u1258))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), _u1256), _u1257)), _u1258)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), _u1256), skolem74(_u1258, _u1257, _u1256, _u1255))), _u1258)) )).
% 43.94/44.11 cnf(fact_converse__tranclE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), _u1256), _u1257)), c_Transitive__Closure_Otrancl(_u1255, _u1258))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), _u1256), _u1257)), _u1258)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), skolem74(_u1258, _u1257, _u1256, _u1255)), _u1257)), c_Transitive__Closure_Otrancl(_u1255, _u1258))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1259, tc_fun(_u1260, tc_HOL_Obool)), _u1261, _u1262), _u1263), _u1264)) | hBOOL(hAPP(hAPP(_u1261, _u1263), _u1264)) )).
% 43.94/44.11 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1259, tc_fun(_u1260, tc_HOL_Obool)), _u1261, _u1262), _u1263), _u1264)) | hBOOL(hAPP(hAPP(_u1262, _u1263), _u1264)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u1265, _u1266), _u1267)) | ~hBOOL(hAPP(hAPP(_u1268, _u1266), _u1267)) | hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1269, tc_fun(_u1270, tc_HOL_Obool)), _u1265, _u1268), _u1266), _u1267)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1271), _u1272), c_Orderings_Obot__class_Obot(tc_fun(_u1271, tc_HOL_Obool)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1273), _u1274), hAPP(hAPP(c_Set_Oinsert(_u1273), _u1276), _u1275))) | ~hBOOL(hAPP(hAPP(c_member(_u1273), _u1274), _u1275)) )).
% 43.94/44.11 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1273), _u1274), hAPP(hAPP(c_Set_Oinsert(_u1273), _u1276), _u1275))) | ( _u1274 != _u1276) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insertE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1277), _u1278), hAPP(hAPP(c_Set_Oinsert(_u1277), _u1279), _u1280))) | ( _u1278 = _u1279) | hBOOL(hAPP(hAPP(c_member(_u1277), _u1278), _u1280)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u1284, _u1285), _u1286)) | ~hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1281, tc_fun(_u1282, tc_HOL_Obool)), _u1283, _u1284), _u1285), _u1286)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u1289, _u1291), _u1292)) | ~hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1287, tc_fun(_u1288, tc_HOL_Obool)), _u1289, _u1290), _u1291), _u1292)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Domain__insert-1, axiom, ( ( c_Relation_ODomain(_u1293, _u1294, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u1293, _u1294)), hAPP(hAPP(c_Product__Type_OPair(_u1293, _u1294), _u1295), _u1296)), _u1297)) = hAPP(hAPP(c_Set_Oinsert(_u1293), _u1295), c_Relation_ODomain(_u1293, _u1294, _u1297))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Range__insert-1, axiom, ( ( c_Relation_ORange(_u1298, _u1299, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u1298, _u1299)), hAPP(hAPP(c_Product__Type_OPair(_u1298, _u1299), _u1300), _u1301)), _u1302)) = hAPP(hAPP(c_Set_Oinsert(_u1299), _u1301), c_Relation_ORange(_u1298, _u1299, _u1302))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1303), _u1304), hAPP(hAPP(c_Set_Oinsert(_u1303), _u1304), _u1305))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1310), _u1312), hAPP(hAPP(c_Set_Oinsert(_u1310), _u1314), _u1316))) | ( _u1312 = _u1314) | hBOOL(hAPP(hAPP(c_member(_u1310), _u1312), _u1316)) )).
% 43.94/44.11 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1311), _u1313), hAPP(hAPP(c_Set_Oinsert(_u1311), _u1315), _u1317))) | ( _u1313 != _u1315) )).
% 43.94/44.11 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1311), _u1313), hAPP(hAPP(c_Set_Oinsert(_u1311), _u1315), _u1317))) | ~hBOOL(hAPP(hAPP(c_member(_u1311), _u1313), _u1317)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1318), _u1319), _u1320)) | hBOOL(hAPP(hAPP(c_member(_u1318), _u1319), _u1321)) | ( hAPP(hAPP(c_Set_Oinsert(_u1318), _u1319), _u1320) != hAPP(hAPP(c_Set_Oinsert(_u1318), _u1319), _u1321)) | ( _u1320 = _u1321) )).
% 43.94/44.11 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1318), _u1319), _u1320)) | hBOOL(hAPP(hAPP(c_member(_u1318), _u1319), _u1321)) | ( _u1320 != _u1321) | ( hAPP(hAPP(c_Set_Oinsert(_u1318), _u1319), _u1320) = hAPP(hAPP(c_Set_Oinsert(_u1318), _u1319), _u1321)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1322), _u1323), _u1324)) | hBOOL(hAPP(hAPP(c_member(_u1322), _u1323), hAPP(hAPP(c_Set_Oinsert(_u1322), _u1325), _u1324))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1326), _u1327), _u1328)) | ( hAPP(hAPP(c_Set_Oinsert(_u1326), _u1327), _u1328) = _u1328) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__inter__insert-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1329, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1329), _u1330), _u1331), hAPP(hAPP(c_Set_Oinsert(_u1329), _u1330), _u1332)) = hAPP(hAPP(c_Set_Oinsert(_u1329), _u1330), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1329, tc_HOL_Obool), _u1331, _u1332))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1337), skolem75(_u1339, _u1337)), _u1339)) | ( _u1339 = c_Orderings_Obot__class_Obot(tc_fun(_u1337, tc_HOL_Obool))) )).
% 43.94/44.11 cnf(fact_all__not__in__conv-2, axiom, ( ( _u1340 != c_Orderings_Obot__class_Obot(tc_fun(_u1338, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1338), _u1334), _u1340)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1345), _u1341), _u1347)) | ( _u1347 != c_Orderings_Obot__class_Obot(tc_fun(_u1345, tc_HOL_Obool))) )).
% 43.94/44.11 cnf(fact_ex__in__conv-2, axiom, ( ( _u1348 = c_Orderings_Obot__class_Obot(tc_fun(_u1346, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1346), skolem76(_u1348, _u1346)), _u1348)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1349), _u1350), c_Orderings_Obot__class_Obot(tc_fun(_u1349, tc_HOL_Obool)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_equals0D-1, axiom, ( ( _u1351 != c_Orderings_Obot__class_Obot(tc_fun(_u1352, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1352), _u1353), _u1351)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__funcset__empty__range ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__funcset__empty__range-1, axiom, ( ( _u1354 = c_Orderings_Obot__class_Obot(tc_fun(_u1355, tc_HOL_Obool))) | ( c_FuncSet_Oextensional__funcset(_u1355, _u1356, _u1354, c_Orderings_Obot__class_Obot(tc_fun(_u1356, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1355, _u1356), tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Pi__eq__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Pi__eq__empty-1, axiom, ( ( c_FuncSet_OPi(_u1363, _u1365, _u1367, _u1369) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1363, _u1365), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1363), skolem77(_u1369, _u1367, _u1365, _u1363)), _u1367)) )).
% 43.94/44.11 cnf(fact_Pi__eq__empty-2, axiom, ( ( c_FuncSet_OPi(_u1363, _u1365, _u1367, _u1369) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1363, _u1365), tc_HOL_Obool))) | ( hAPP(_u1369, skolem77(_u1369, _u1367, _u1365, _u1363)) = c_Orderings_Obot__class_Obot(tc_fun(_u1365, tc_HOL_Obool))) )).
% 43.94/44.11 cnf(fact_Pi__eq__empty-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1364), _u1358), _u1368)) | ( hAPP(_u1370, _u1358) != c_Orderings_Obot__class_Obot(tc_fun(_u1366, tc_HOL_Obool))) | ( c_FuncSet_OPi(_u1364, _u1366, _u1368, _u1370) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1364, _u1366), tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u1371, c_Orderings_Obot__class_Obot(tc_fun(_u1371, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1371, _u1371), tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_singletonE-1, axiom, ( ( _u1373 = _u1374) | ~hBOOL(hAPP(hAPP(c_member(_u1372), _u1373), hAPP(hAPP(c_Set_Oinsert(_u1372), _u1374), c_Orderings_Obot__class_Obot(tc_fun(_u1372, tc_HOL_Obool))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_singleton__iff-1, axiom, ( ( _u1380 = _u1382) | ~hBOOL(hAPP(hAPP(c_member(_u1378), _u1380), hAPP(hAPP(c_Set_Oinsert(_u1378), _u1382), c_Orderings_Obot__class_Obot(tc_fun(_u1378, tc_HOL_Obool))))) )).
% 43.94/44.11 cnf(fact_singleton__iff-2, axiom, ( ( _u1381 != _u1383) | hBOOL(hAPP(hAPP(c_member(_u1379), _u1381), hAPP(hAPP(c_Set_Oinsert(_u1379), _u1383), c_Orderings_Obot__class_Obot(tc_fun(_u1379, tc_HOL_Obool))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_singleton__inject-1, axiom, ( ( _u1385 = _u1386) | ( hAPP(hAPP(c_Set_Oinsert(_u1384), _u1385), c_Orderings_Obot__class_Obot(tc_fun(_u1384, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u1384), _u1386), c_Orderings_Obot__class_Obot(tc_fun(_u1384, tc_HOL_Obool)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__code-1, axiom, ( ( _u1393 = _u1397) | hBOOL(hAPP(_u1395, _u1397)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u1391), _u1393), _u1395), _u1397)) )).
% 43.94/44.11 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u1392), _u1394), _u1396), _u1398)) | ( _u1394 != _u1398) )).
% 43.94/44.11 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u1392), _u1394), _u1396), _u1398)) | ~hBOOL(hAPP(_u1396, _u1398)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1404), _u1406), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1408), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u1404), _u1410), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1412), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool))))) | ( _u1406 = _u1410) | ( _u1406 = _u1412) )).
% 43.94/44.11 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1404), _u1406), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1408), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u1404), _u1410), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1412), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool))))) | ( _u1406 = _u1410) | ( _u1408 = _u1410) )).
% 43.94/44.11 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1404), _u1406), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1408), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u1404), _u1410), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1412), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool))))) | ( _u1408 = _u1412) | ( _u1406 = _u1412) )).
% 43.94/44.11 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1404), _u1406), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1408), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u1404), _u1410), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1412), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool))))) | ( _u1408 = _u1412) | ( _u1408 = _u1410) )).
% 43.94/44.11 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1405), _u1407), hAPP(hAPP(c_Set_Oinsert(_u1405), _u1409), c_Orderings_Obot__class_Obot(tc_fun(_u1405, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u1405), _u1411), hAPP(hAPP(c_Set_Oinsert(_u1405), _u1413), c_Orderings_Obot__class_Obot(tc_fun(_u1405, tc_HOL_Obool))))) | ( _u1407 != _u1411) | ( _u1409 != _u1413) )).
% 43.94/44.11 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1405), _u1407), hAPP(hAPP(c_Set_Oinsert(_u1405), _u1409), c_Orderings_Obot__class_Obot(tc_fun(_u1405, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u1405), _u1411), hAPP(hAPP(c_Set_Oinsert(_u1405), _u1413), c_Orderings_Obot__class_Obot(tc_fun(_u1405, tc_HOL_Obool))))) | ( _u1407 != _u1413) | ( _u1409 != _u1411) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1414), _u1415), hAPP(hAPP(c_Set_Oinsert(_u1414), _u1416), _u1417)) = hAPP(hAPP(c_Set_Oinsert(_u1414), _u1416), hAPP(hAPP(c_Set_Oinsert(_u1414), _u1415), _u1417))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1418), _u1419), hAPP(hAPP(c_Set_Oinsert(_u1418), _u1419), _u1420)) = hAPP(hAPP(c_Set_Oinsert(_u1418), _u1419), _u1420)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1421), _u1422), _u1423) != c_Orderings_Obot__class_Obot(tc_fun(_u1421, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u1424, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u1424), _u1425), _u1426)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Range__empty-1, axiom, ( ( c_Relation_ORange(_u1427, _u1428, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1427, _u1428), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1428, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Range__empty__iff-1, axiom, ( ( c_Relation_ORange(_u1432, _u1434, _u1436) != c_Orderings_Obot__class_Obot(tc_fun(_u1434, tc_HOL_Obool))) | ( _u1436 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1432, _u1434), tc_HOL_Obool))) )).
% 43.94/44.11 cnf(fact_Range__empty__iff-2, axiom, ( ( _u1437 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1433, _u1435), tc_HOL_Obool))) | ( c_Relation_ORange(_u1433, _u1435, _u1437) = c_Orderings_Obot__class_Obot(tc_fun(_u1435, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Domain__empty-1, axiom, ( ( c_Relation_ODomain(_u1438, _u1439, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1438, _u1439), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1438, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Domain__empty__iff-1, axiom, ( ( c_Relation_ODomain(_u1443, _u1445, _u1447) != c_Orderings_Obot__class_Obot(tc_fun(_u1443, tc_HOL_Obool))) | ( _u1447 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1443, _u1445), tc_HOL_Obool))) )).
% 43.94/44.11 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u1448 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1444, _u1446), tc_HOL_Obool))) | ( c_Relation_ODomain(_u1444, _u1446, _u1448) = c_Orderings_Obot__class_Obot(tc_fun(_u1444, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u1449, c_Orderings_Obot__class_Obot(tc_fun(_u1449, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1449, _u1449), tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1457, tc_HOL_Obool), _u1459, _u1461) != c_Orderings_Obot__class_Obot(tc_fun(_u1457, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1457), _u1451), _u1459)) | ~hBOOL(hAPP(hAPP(c_member(_u1457), _u1450), _u1461)) | ( _u1451 != _u1450) )).
% 43.94/44.11 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1458, tc_HOL_Obool), _u1460, _u1462) = c_Orderings_Obot__class_Obot(tc_fun(_u1458, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1458), skolem78(_u1462, _u1460, _u1458)), _u1460)) )).
% 43.94/44.11 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1458, tc_HOL_Obool), _u1460, _u1462) = c_Orderings_Obot__class_Obot(tc_fun(_u1458, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1458), skolem79(_u1462, _u1460, _u1458)), _u1462)) )).
% 43.94/44.11 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1458, tc_HOL_Obool), _u1460, _u1462) = c_Orderings_Obot__class_Obot(tc_fun(_u1458, tc_HOL_Obool))) | ( skolem78(_u1462, _u1460, _u1458) = skolem79(_u1462, _u1460, _u1458)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__empty__right-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1463, tc_HOL_Obool), _u1464, c_Orderings_Obot__class_Obot(tc_fun(_u1463, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1463, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__empty__left-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1465, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_u1465, tc_HOL_Obool)), _u1466) = c_Orderings_Obot__class_Obot(tc_fun(_u1465, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u1467, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1467, _u1467), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1467, _u1467), tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1470, tc_HOL_Obool)), _u1472)) | hBOOL(hAPP(hAPP(c_member(_u1470), _u1472), c_Orderings_Obot__class_Obot(tc_fun(_u1470, tc_HOL_Obool)))) )).
% 43.94/44.11 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1471), _u1473), c_Orderings_Obot__class_Obot(tc_fun(_u1471, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1471, tc_HOL_Obool)), _u1473)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u1474, c_Orderings_Obot__class_Obot(tc_fun(_u1474, tc_HOL_Obool)), _u1475) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1476) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1476, _u1477, c_Orderings_Obot__class_Obot(_u1476)) = c_Orderings_Obot__class_Obot(_u1476)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1478) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1478, c_Orderings_Obot__class_Obot(_u1478), _u1479) = c_Orderings_Obot__class_Obot(_u1478)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1480), _u1481), _u1482)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1480, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1480), _u1481), _u1483), _u1482) = hAPP(hAPP(c_Set_Oinsert(_u1480), _u1481), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1480, tc_HOL_Obool), _u1483, _u1482))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1484), _u1485), _u1486)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1484, tc_HOL_Obool), _u1486, hAPP(hAPP(c_Set_Oinsert(_u1484), _u1485), _u1487)) = hAPP(hAPP(c_Set_Oinsert(_u1484), _u1485), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1484, tc_HOL_Obool), _u1486, _u1487))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1488), _u1489), _u1490)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1488, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1488), _u1489), _u1491), _u1490) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1488, tc_HOL_Obool), _u1491, _u1490)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1492), _u1493), _u1494)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1492, tc_HOL_Obool), _u1494, hAPP(hAPP(c_Set_Oinsert(_u1492), _u1493), _u1495)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1492, tc_HOL_Obool), _u1494, _u1495)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1500), _u1502), _u1504)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1500, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1500), _u1502), _u1506), _u1504) = hAPP(hAPP(c_Set_Oinsert(_u1500), _u1502), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1500, tc_HOL_Obool), _u1506, _u1504))) )).
% 43.94/44.11 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1501), _u1503), _u1505)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1501, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1501), _u1503), _u1507), _u1505) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1501, tc_HOL_Obool), _u1507, _u1505)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1512), _u1514), _u1516)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1512, tc_HOL_Obool), _u1516, hAPP(hAPP(c_Set_Oinsert(_u1512), _u1514), _u1518)) = hAPP(hAPP(c_Set_Oinsert(_u1512), _u1514), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1512, tc_HOL_Obool), _u1516, _u1518))) )).
% 43.94/44.11 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1513), _u1515), _u1517)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool), _u1517, hAPP(hAPP(c_Set_Oinsert(_u1513), _u1515), _u1519)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool), _u1517, _u1519)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u1520, hAPP(hAPP(c_Set_Oinsert(_u1520), _u1521), c_Orderings_Obot__class_Obot(tc_fun(_u1520, tc_HOL_Obool)))) = _u1521) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u1522) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1523, _u1522)), _u1524) = c_Orderings_Obot__class_Obot(_u1522)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u1525) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1526, _u1525)), _u1527) = c_Orderings_Obot__class_Obot(_u1525)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__funcset__restrict__domain ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__funcset__restrict__domain-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1528), _u1529), _u1530)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1528, _u1531)), _u1532), c_FuncSet_Oextensional__funcset(_u1528, _u1531, hAPP(hAPP(c_Set_Oinsert(_u1528), _u1529), _u1530), _u1533))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1528, _u1531)), c_Fun_Ofun__upd(_u1528, _u1531, _u1532, _u1529, c_HOL_Oundefined(_u1531))), c_FuncSet_Oextensional__funcset(_u1528, _u1531, _u1530, _u1533))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__funcset__empty__domain ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__funcset__empty__domain-1, axiom, ( ( c_FuncSet_Oextensional__funcset(_u1534, _u1535, c_Orderings_Obot__class_Obot(tc_fun(_u1534, tc_HOL_Obool)), _u1536) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1534, _u1535)), c_COMBK(_u1535, _u1534, c_HOL_Oundefined(_u1535))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1534, _u1535), tc_HOL_Obool)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__empty-1, axiom, ( ( c_FuncSet_Oextensional(_u1537, _u1538, c_Orderings_Obot__class_Obot(tc_fun(_u1537, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1537, _u1538)), c_COMBK(_u1538, _u1537, c_HOL_Oundefined(_u1538))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1537, _u1538), tc_HOL_Obool)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1543, tc_fun(_u1545, tc_HOL_Obool))), _u1547), _u1549)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1543, _u1545)), hAPP(hAPP(c_Product__Type_OPair(_u1543, _u1545), _u1547), _u1549)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1543, _u1545), tc_HOL_Obool)))) )).
% 43.94/44.11 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1544, _u1546)), hAPP(hAPP(c_Product__Type_OPair(_u1544, _u1546), _u1548), _u1550)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1544, _u1546), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1544, tc_fun(_u1546, tc_HOL_Obool))), _u1548), _u1550)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__funcset__extend__domainI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__funcset__extend__domainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1551), _u1552), _u1553)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1554, _u1551)), _u1555), c_FuncSet_Oextensional__funcset(_u1554, _u1551, _u1556, _u1553))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1554, _u1551)), c_Fun_Ofun__upd(_u1554, _u1551, _u1555, _u1557, _u1552)), c_FuncSet_Oextensional__funcset(_u1554, _u1551, hAPP(hAPP(c_Set_Oinsert(_u1554), _u1557), _u1556), _u1553))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__upd__triv-1, axiom, ( ( c_Fun_Ofun__upd(_u1558, _u1559, _u1560, _u1561, hAPP(_u1560, _u1561)) = _u1560) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__funcset__fun__upd__extends__rangeI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__funcset__fun__upd__extends__rangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1562), _u1563), _u1564)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1565, _u1562)), _u1566), c_FuncSet_Oextensional__funcset(_u1565, _u1562, _u1567, c_Groups_Ominus__class_Ominus(tc_fun(_u1562, tc_HOL_Obool), _u1564, hAPP(hAPP(c_Set_Oinsert(_u1562), _u1563), c_Orderings_Obot__class_Obot(tc_fun(_u1562, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1565, _u1562)), c_Fun_Ofun__upd(_u1565, _u1562, _u1566, _u1568, _u1563)), c_FuncSet_Oextensional__funcset(_u1565, _u1562, hAPP(hAPP(c_Set_Oinsert(_u1565), _u1568), _u1567), _u1564))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u1569, _u1570) = c_HOL_OThe(_u1569, hAPP(c_COMBB(tc_fun(_u1569, tc_HOL_Obool), tc_HOL_Obool, _u1569, hAPP(c_fequal, _u1570)), hAPP(hAPP(c_COMBC(_u1569, tc_fun(_u1569, tc_HOL_Obool), tc_fun(_u1569, tc_HOL_Obool)), c_Set_Oinsert(_u1569)), c_Orderings_Obot__class_Obot(tc_fun(_u1569, tc_HOL_Obool)))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__upd__def-1, axiom, ( ( _u1577 != _u1579) | ( hAPP(c_Fun_Ofun__upd(_u1581, _u1583, _u1585, _u1579, _u1587), _u1577) = _u1587) )).
% 43.94/44.11 cnf(fact_fun__upd__def-2, axiom, ( ( _u1578 = _u1580) | ( hAPP(c_Fun_Ofun__upd(_u1582, _u1584, _u1586, _u1580, _u1588), _u1578) = hAPP(_u1586, _u1578)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1589), _u1590), _u1591)) | hBOOL(hAPP(hAPP(c_member(_u1589), _u1590), _u1592)) | hBOOL(hAPP(hAPP(c_member(_u1589), _u1590), c_Groups_Ominus__class_Ominus(tc_fun(_u1589, tc_HOL_Obool), _u1591, _u1592))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1593), _u1594), c_Groups_Ominus__class_Ominus(tc_fun(_u1593, tc_HOL_Obool), _u1595, _u1596))) | hBOOL(hAPP(hAPP(c_member(_u1593), _u1594), _u1595)) )).
% 43.94/44.11 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1593), _u1594), c_Groups_Ominus__class_Ominus(tc_fun(_u1593, tc_HOL_Obool), _u1595, _u1596))) | ~hBOOL(hAPP(hAPP(c_member(_u1593), _u1594), _u1596)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1597, tc_fun(_u1598, tc_HOL_Obool))), _u1599), _u1600)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__cancel-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1601, tc_HOL_Obool), _u1602, _u1602) = c_Orderings_Obot__class_Obot(tc_fun(_u1601, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__empty-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1603, tc_HOL_Obool), _u1604, c_Orderings_Obot__class_Obot(tc_fun(_u1603, tc_HOL_Obool))) = _u1604) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_empty__Diff-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1605, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_u1605, tc_HOL_Obool)), _u1606) = c_Orderings_Obot__class_Obot(tc_fun(_u1605, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u1607) | ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1608, _u1607), _u1609, _u1610), _u1611) = c_Groups_Ominus__class_Ominus(_u1607, hAPP(_u1609, _u1611), hAPP(_u1610, _u1611))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u1612) | ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1613, _u1612), _u1614, _u1615), _u1616) = c_Groups_Ominus__class_Ominus(_u1612, hAPP(_u1614, _u1616), hAPP(_u1615, _u1616))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1621), _u1623), c_Groups_Ominus__class_Ominus(tc_fun(_u1621, tc_HOL_Obool), _u1625, _u1627))) | hBOOL(hAPP(hAPP(c_member(_u1621), _u1623), _u1625)) )).
% 43.94/44.11 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1621), _u1623), c_Groups_Ominus__class_Ominus(tc_fun(_u1621, tc_HOL_Obool), _u1625, _u1627))) | ~hBOOL(hAPP(hAPP(c_member(_u1621), _u1623), _u1627)) )).
% 43.94/44.11 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1622), _u1624), _u1626)) | hBOOL(hAPP(hAPP(c_member(_u1622), _u1624), _u1628)) | hBOOL(hAPP(hAPP(c_member(_u1622), _u1624), c_Groups_Ominus__class_Ominus(tc_fun(_u1622, tc_HOL_Obool), _u1626, _u1628))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1629), _u1630), c_Groups_Ominus__class_Ominus(tc_fun(_u1629, tc_HOL_Obool), _u1631, _u1632))) | hBOOL(hAPP(hAPP(c_member(_u1629), _u1630), _u1631)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1633), _u1634), c_Groups_Ominus__class_Ominus(tc_fun(_u1633, tc_HOL_Obool), _u1635, _u1636))) | ~hBOOL(hAPP(hAPP(c_member(_u1633), _u1634), _u1636)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__idemp-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1637, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u1637, tc_HOL_Obool), _u1638, _u1639), _u1639) = c_Groups_Ominus__class_Ominus(tc_fun(_u1637, tc_HOL_Obool), _u1638, _u1639)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__Int2-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1640, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1640, tc_HOL_Obool), _u1641, _u1642), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1640, tc_HOL_Obool), _u1643, _u1642)) = c_Groups_Ominus__class_Ominus(tc_fun(_u1640, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1640, tc_HOL_Obool), _u1641, _u1642), _u1643)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1644, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u1644, tc_HOL_Obool), _u1645, _u1646), _u1647) = c_Groups_Ominus__class_Ominus(tc_fun(_u1644, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1644, tc_HOL_Obool), _u1645, _u1647), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1644, tc_HOL_Obool), _u1646, _u1647))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__Diff-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1648, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1648, tc_HOL_Obool), _u1649, _u1650), _u1651) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1648, tc_HOL_Obool), _u1649, c_Groups_Ominus__class_Ominus(tc_fun(_u1648, tc_HOL_Obool), _u1650, _u1651))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__Int__distrib-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1652, tc_HOL_Obool), _u1653, c_Groups_Ominus__class_Ominus(tc_fun(_u1652, tc_HOL_Obool), _u1654, _u1655)) = c_Groups_Ominus__class_Ominus(tc_fun(_u1652, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1652, tc_HOL_Obool), _u1653, _u1654), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1652, tc_HOL_Obool), _u1653, _u1655))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1656), _u1657), _u1658)) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u1656, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1656), _u1657), _u1659), _u1658) = c_Groups_Ominus__class_Ominus(tc_fun(_u1656, tc_HOL_Obool), _u1659, _u1658)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1664), _u1666), _u1668)) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u1664, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1664), _u1666), _u1670), _u1668) = c_Groups_Ominus__class_Ominus(tc_fun(_u1664, tc_HOL_Obool), _u1670, _u1668)) )).
% 43.94/44.11 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1665), _u1667), _u1669)) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u1665, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1665), _u1667), _u1671), _u1669) = hAPP(hAPP(c_Set_Oinsert(_u1665), _u1667), c_Groups_Ominus__class_Ominus(tc_fun(_u1665, tc_HOL_Obool), _u1671, _u1669))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1672), _u1673), c_Groups_Ominus__class_Ominus(tc_fun(_u1672, tc_HOL_Obool), _u1674, hAPP(hAPP(c_Set_Oinsert(_u1672), _u1673), c_Orderings_Obot__class_Obot(tc_fun(_u1672, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u1672), _u1673), _u1674)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__insert2-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1675, tc_HOL_Obool), _u1676, hAPP(hAPP(c_Set_Oinsert(_u1675), _u1677), _u1678)) = c_Groups_Ominus__class_Ominus(tc_fun(_u1675, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u1675, tc_HOL_Obool), _u1676, hAPP(hAPP(c_Set_Oinsert(_u1675), _u1677), c_Orderings_Obot__class_Obot(tc_fun(_u1675, tc_HOL_Obool)))), _u1678)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__insert-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1679, tc_HOL_Obool), _u1680, hAPP(hAPP(c_Set_Oinsert(_u1679), _u1681), _u1682)) = c_Groups_Ominus__class_Ominus(tc_fun(_u1679, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u1679, tc_HOL_Obool), _u1680, _u1682), hAPP(hAPP(c_Set_Oinsert(_u1679), _u1681), c_Orderings_Obot__class_Obot(tc_fun(_u1679, tc_HOL_Obool))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__triv-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1683, tc_HOL_Obool), _u1684, _u1685) != c_Orderings_Obot__class_Obot(tc_fun(_u1683, tc_HOL_Obool))) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u1683, tc_HOL_Obool), _u1684, _u1685) = _u1684) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__disjoint-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1686, tc_HOL_Obool), _u1687, c_Groups_Ominus__class_Ominus(tc_fun(_u1686, tc_HOL_Obool), _u1688, _u1687)) = c_Orderings_Obot__class_Obot(tc_fun(_u1686, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1689), _u1690), _u1691)) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u1689, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1689), _u1690), _u1691), hAPP(hAPP(c_Set_Oinsert(_u1689), _u1690), c_Orderings_Obot__class_Obot(tc_fun(_u1689, tc_HOL_Obool)))) = _u1691) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1692), _u1693), _u1694)) | ( hAPP(hAPP(c_Set_Oinsert(_u1692), _u1693), c_Groups_Ominus__class_Ominus(tc_fun(_u1692, tc_HOL_Obool), _u1694, hAPP(hAPP(c_Set_Oinsert(_u1692), _u1693), c_Orderings_Obot__class_Obot(tc_fun(_u1692, tc_HOL_Obool))))) = _u1694) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u1704, _u1706) = _u1708) | ( c_Fun_Ofun__upd(_u1700, _u1702, _u1704, _u1706, _u1708) != _u1704) )).
% 43.94/44.11 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u1705, _u1707) != _u1709) | ( c_Fun_Ofun__upd(_u1701, _u1703, _u1705, _u1707, _u1709) = _u1705) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__upd__upd-1, axiom, ( ( c_Fun_Ofun__upd(_u1710, _u1711, c_Fun_Ofun__upd(_u1710, _u1711, _u1712, _u1713, _u1714), _u1713, _u1715) = c_Fun_Ofun__upd(_u1710, _u1711, _u1712, _u1713, _u1715)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(c_Fun_Ofun__upd(_u1716, _u1717, _u1718, _u1719, _u1720), _u1719) = _u1720) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__upd__apply-1, axiom, ( ( _u1727 != _u1729) | ( hAPP(c_Fun_Ofun__upd(_u1731, _u1733, _u1735, _u1729, _u1737), _u1727) = _u1737) )).
% 43.94/44.11 cnf(fact_fun__upd__apply-2, axiom, ( ( _u1728 = _u1730) | ( hAPP(c_Fun_Ofun__upd(_u1732, _u1734, _u1736, _u1730, _u1738), _u1728) = hAPP(_u1736, _u1728)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__upd__twist-1, axiom, ( ( _u1739 = _u1740) | ( c_Fun_Ofun__upd(_u1741, _u1742, c_Fun_Ofun__upd(_u1741, _u1742, _u1743, _u1739, _u1744), _u1740, _u1745) = c_Fun_Ofun__upd(_u1741, _u1742, c_Fun_Ofun__upd(_u1741, _u1742, _u1743, _u1740, _u1745), _u1739, _u1744)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__upd__other-1, axiom, ( ( _u1746 = _u1747) | ( hAPP(c_Fun_Ofun__upd(_u1748, _u1749, _u1750, _u1747, _u1751), _u1746) = hAPP(_u1750, _u1746)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u1752, _u1753) != _u1754) | ( c_Fun_Ofun__upd(_u1755, _u1756, _u1752, _u1753, _u1754) = _u1752) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__funcset__fun__upd__restricts__rangeI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__funcset__fun__upd__restricts__rangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1758, _u1762)), _u1760), c_FuncSet_Oextensional__funcset(_u1758, _u1762, hAPP(hAPP(c_Set_Oinsert(_u1758), _u1761), _u1759), _u1763))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1758, _u1762)), c_Fun_Ofun__upd(_u1758, _u1762, _u1760, _u1761, c_HOL_Oundefined(_u1762))), c_FuncSet_Oextensional__funcset(_u1758, _u1762, _u1759, c_Groups_Ominus__class_Ominus(tc_fun(_u1762, tc_HOL_Obool), _u1763, hAPP(hAPP(c_Set_Oinsert(_u1762), hAPP(_u1760, _u1761)), c_Orderings_Obot__class_Obot(tc_fun(_u1762, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(_u1758), skolem80(_u1763, _u1762, _u1761, _u1760, _u1759, _u1758)), _u1759)) )).
% 43.94/44.11 cnf(fact_extensional__funcset__fun__upd__restricts__rangeI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1758, _u1762)), _u1760), c_FuncSet_Oextensional__funcset(_u1758, _u1762, hAPP(hAPP(c_Set_Oinsert(_u1758), _u1761), _u1759), _u1763))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1758, _u1762)), c_Fun_Ofun__upd(_u1758, _u1762, _u1760, _u1761, c_HOL_Oundefined(_u1762))), c_FuncSet_Oextensional__funcset(_u1758, _u1762, _u1759, c_Groups_Ominus__class_Ominus(tc_fun(_u1762, tc_HOL_Obool), _u1763, hAPP(hAPP(c_Set_Oinsert(_u1762), hAPP(_u1760, _u1761)), c_Orderings_Obot__class_Obot(tc_fun(_u1762, tc_HOL_Obool))))))) | ( hAPP(_u1760, _u1761) = hAPP(_u1760, skolem80(_u1763, _u1762, _u1761, _u1760, _u1759, _u1758))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1764), _u1765), _u1766)) | ~c_Nitpick_Ofold__graph_H(_u1764, _u1767, _u1768, _u1769, c_Groups_Ominus__class_Ominus(tc_fun(_u1764, tc_HOL_Obool), _u1766, hAPP(hAPP(c_Set_Oinsert(_u1764), _u1765), c_Orderings_Obot__class_Obot(tc_fun(_u1764, tc_HOL_Obool)))), _u1770) | c_Nitpick_Ofold__graph_H(_u1764, _u1767, _u1768, _u1769, _u1766, hAPP(hAPP(_u1768, _u1765), _u1770)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__funcset__fun__upd__inj__onI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__funcset__fun__upd__inj__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1771, _u1772)), _u1773), c_FuncSet_Oextensional__funcset(_u1771, _u1772, _u1774, c_Groups_Ominus__class_Ominus(tc_fun(_u1772, tc_HOL_Obool), _u1775, hAPP(hAPP(c_Set_Oinsert(_u1772), _u1776), c_Orderings_Obot__class_Obot(tc_fun(_u1772, tc_HOL_Obool))))))) | ~c_Fun_Oinj__on(_u1771, _u1772, _u1773, _u1774) | c_Fun_Oinj__on(_u1771, _u1772, c_Fun_Ofun__upd(_u1771, _u1772, _u1773, _u1777, _u1776), _u1774) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u1778, _u1779, _u1780, c_Orderings_Obot__class_Obot(tc_fun(_u1778, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u1781, _u1782, _u1783, _u1784) | ( hAPP(_u1783, _u1785) != hAPP(_u1783, _u1786)) | ~hBOOL(hAPP(hAPP(c_member(_u1781), _u1785), _u1784)) | ~hBOOL(hAPP(hAPP(c_member(_u1781), _u1786), _u1784)) | ( _u1785 = _u1786) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u1787, _u1788, _u1789, _u1790) | ~hBOOL(hAPP(hAPP(c_member(_u1787), _u1791), _u1790)) | ~hBOOL(hAPP(hAPP(c_member(_u1787), _u1792), _u1790)) | ( hAPP(_u1789, _u1791) != hAPP(_u1789, _u1792)) | ( _u1791 = _u1792) )).
% 43.94/44.11 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u1787, _u1788, _u1789, _u1790) | ~hBOOL(hAPP(hAPP(c_member(_u1787), _u1791), _u1790)) | ~hBOOL(hAPP(hAPP(c_member(_u1787), _u1792), _u1790)) | ( _u1791 != _u1792) | ( hAPP(_u1789, _u1791) = hAPP(_u1789, _u1792)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u1793, _u1794, _u1795, _u1796) | ( _u1797 = _u1798) | ~hBOOL(hAPP(hAPP(c_member(_u1793), _u1797), _u1796)) | ~hBOOL(hAPP(hAPP(c_member(_u1793), _u1798), _u1796)) | ( hAPP(_u1795, _u1797) != hAPP(_u1795, _u1798)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u1799, _u1799, c_COMBI(_u1799), _u1800) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u1809, _u1811, _u1813, _u1815) | ~hBOOL(hAPP(hAPP(c_member(_u1809), _u1802), _u1815)) | ~hBOOL(hAPP(hAPP(c_member(_u1809), _u1801), _u1815)) | ( hAPP(_u1813, _u1802) != hAPP(_u1813, _u1801)) | ( _u1802 = _u1801) )).
% 43.94/44.11 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u1810, _u1812, _u1814, _u1816) | hBOOL(hAPP(hAPP(c_member(_u1810), skolem81(_u1816, _u1814, _u1812, _u1810)), _u1816)) )).
% 43.94/44.11 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u1810, _u1812, _u1814, _u1816) | hBOOL(hAPP(hAPP(c_member(_u1810), skolem82(_u1816, _u1814, _u1812, _u1810)), _u1816)) )).
% 43.94/44.11 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u1810, _u1812, _u1814, _u1816) | ( hAPP(_u1814, skolem81(_u1816, _u1814, _u1812, _u1810)) = hAPP(_u1814, skolem82(_u1816, _u1814, _u1812, _u1810))) )).
% 43.94/44.11 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u1810, _u1812, _u1814, _u1816) | ( skolem81(_u1816, _u1814, _u1812, _u1810) != skolem82(_u1816, _u1814, _u1812, _u1810)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u1817, _u1818, _u1819, _u1820) | c_Fun_Oinj__on(_u1817, _u1818, _u1819, c_Groups_Ominus__class_Ominus(tc_fun(_u1817, tc_HOL_Obool), _u1820, _u1821)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u1822, _u1823, _u1824, _u1825) | ~c_Fun_Oinj__on(_u1822, _u1823, _u1824, _u1826) | c_Fun_Oinj__on(_u1822, _u1823, _u1824, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1822, tc_HOL_Obool), _u1825, _u1826)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__restrict__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__restrict__eq-1, axiom, ( ~c_Fun_Oinj__on(_u1831, _u1833, c_FuncSet_Orestrict(_u1831, _u1833, _u1835, _u1837), _u1837) | c_Fun_Oinj__on(_u1831, _u1833, _u1835, _u1837) )).
% 43.94/44.11 cnf(fact_inj__on__restrict__eq-2, axiom, ( ~c_Fun_Oinj__on(_u1832, _u1834, _u1836, _u1838) | c_Fun_Oinj__on(_u1832, _u1834, c_FuncSet_Orestrict(_u1832, _u1834, _u1836, _u1838), _u1838) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u1839, _u1840, _u1841, _u1842, c_Orderings_Obot__class_Obot(tc_fun(_u1839, tc_HOL_Obool)), _u1842) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u1843, _u1844, _u1845, _u1846, c_Orderings_Obot__class_Obot(tc_fun(_u1843, tc_HOL_Obool)), _u1846) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( _u1866 = c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1858), skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), _u1866)) )).
% 43.94/44.11 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( _u1866 = c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool))) | ( hAPP(hAPP(_u1862, _u1868), _u1870) = hAPP(hAPP(_u1862, skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), skolem84(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858))) )).
% 43.94/44.11 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( _u1866 = c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, c_Groups_Ominus__class_Ominus(tc_fun(_u1858, tc_HOL_Obool), _u1866, hAPP(hAPP(c_Set_Oinsert(_u1858), skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool)))), skolem84(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)) )).
% 43.94/44.11 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( hAPP(hAPP(_u1862, _u1868), _u1870) = _u1864) | hBOOL(hAPP(hAPP(c_member(_u1858), skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), _u1866)) )).
% 43.94/44.11 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( hAPP(hAPP(_u1862, _u1868), _u1870) = _u1864) | ( hAPP(hAPP(_u1862, _u1868), _u1870) = hAPP(hAPP(_u1862, skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), skolem84(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858))) )).
% 43.94/44.11 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( hAPP(hAPP(_u1862, _u1868), _u1870) = _u1864) | c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, c_Groups_Ominus__class_Ominus(tc_fun(_u1858, tc_HOL_Obool), _u1866, hAPP(hAPP(c_Set_Oinsert(_u1858), skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool)))), skolem84(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)) )).
% 43.94/44.11 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u1859, _u1861, _u1863, _u1865, _u1867, hAPP(hAPP(_u1863, _u1869), _u1871)) | ( _u1867 != c_Orderings_Obot__class_Obot(tc_fun(_u1859, tc_HOL_Obool))) | ( hAPP(hAPP(_u1863, _u1869), _u1871) != _u1865) )).
% 43.94/44.11 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u1859, _u1861, _u1863, _u1865, _u1867, hAPP(hAPP(_u1863, _u1869), _u1871)) | ~hBOOL(hAPP(hAPP(c_member(_u1859), _u1850), _u1867)) | ( hAPP(hAPP(_u1863, _u1869), _u1871) != hAPP(hAPP(_u1863, _u1850), _u1849)) | ~c_Nitpick_Ofold__graph_H(_u1859, _u1861, _u1863, _u1865, c_Groups_Ominus__class_Ominus(tc_fun(_u1859, tc_HOL_Obool), _u1867, hAPP(hAPP(c_Set_Oinsert(_u1859), _u1850), c_Orderings_Obot__class_Obot(tc_fun(_u1859, tc_HOL_Obool)))), _u1849) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u1872, hAPP(c_fequal, _u1873)) = _u1873) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u1874, hAPP(hAPP(c_COMBC(_u1874, _u1874, tc_HOL_Obool), c_fequal), _u1875)) = _u1875) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1881), _u1883), hAPP(c_Relation_OImage(_u1885, _u1881, _u1887), hAPP(hAPP(c_Set_Oinsert(_u1885), _u1889), c_Orderings_Obot__class_Obot(tc_fun(_u1885, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1885, _u1881)), hAPP(hAPP(c_Product__Type_OPair(_u1885, _u1881), _u1889), _u1883)), _u1887)) )).
% 43.94/44.11 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1886, _u1882)), hAPP(hAPP(c_Product__Type_OPair(_u1886, _u1882), _u1890), _u1884)), _u1888)) | hBOOL(hAPP(hAPP(c_member(_u1882), _u1884), hAPP(c_Relation_OImage(_u1886, _u1882, _u1888), hAPP(hAPP(c_Set_Oinsert(_u1886), _u1890), c_Orderings_Obot__class_Obot(tc_fun(_u1886, tc_HOL_Obool)))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1897), _u1899), _u1901)) | ( c_Set_Oimage(_u1897, _u1903, c_Fun_Ofun__upd(_u1897, _u1903, _u1905, _u1899, _u1907), _u1901) = hAPP(hAPP(c_Set_Oinsert(_u1903), _u1907), c_Set_Oimage(_u1897, _u1903, _u1905, c_Groups_Ominus__class_Ominus(tc_fun(_u1897, tc_HOL_Obool), _u1901, hAPP(hAPP(c_Set_Oinsert(_u1897), _u1899), c_Orderings_Obot__class_Obot(tc_fun(_u1897, tc_HOL_Obool))))))) )).
% 43.94/44.11 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1898), _u1900), _u1902)) | ( c_Set_Oimage(_u1898, _u1904, c_Fun_Ofun__upd(_u1898, _u1904, _u1906, _u1900, _u1908), _u1902) = c_Set_Oimage(_u1898, _u1904, _u1906, _u1902)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u1914, _u1916, _u1918, hAPP(hAPP(c_Set_Oinsert(_u1914), _u1920), _u1922)) | c_Fun_Oinj__on(_u1914, _u1916, _u1918, _u1922) )).
% 43.94/44.11 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u1914, _u1916, _u1918, hAPP(hAPP(c_Set_Oinsert(_u1914), _u1920), _u1922)) | ~hBOOL(hAPP(hAPP(c_member(_u1916), hAPP(_u1918, _u1920)), c_Set_Oimage(_u1914, _u1916, _u1918, c_Groups_Ominus__class_Ominus(tc_fun(_u1914, tc_HOL_Obool), _u1922, hAPP(hAPP(c_Set_Oinsert(_u1914), _u1920), c_Orderings_Obot__class_Obot(tc_fun(_u1914, tc_HOL_Obool))))))) )).
% 43.94/44.11 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u1915, _u1917, _u1919, _u1923) | hBOOL(hAPP(hAPP(c_member(_u1917), hAPP(_u1919, _u1921)), c_Set_Oimage(_u1915, _u1917, _u1919, c_Groups_Ominus__class_Ominus(tc_fun(_u1915, tc_HOL_Obool), _u1923, hAPP(hAPP(c_Set_Oinsert(_u1915), _u1921), c_Orderings_Obot__class_Obot(tc_fun(_u1915, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u1915, _u1917, _u1919, hAPP(hAPP(c_Set_Oinsert(_u1915), _u1921), _u1923)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__eqI-1, axiom, ( ( _u1924 != hAPP(_u1925, _u1926)) | ~hBOOL(hAPP(hAPP(c_member(_u1927), _u1926), _u1928)) | hBOOL(hAPP(hAPP(c_member(_u1929), _u1924), c_Set_Oimage(_u1927, _u1929, _u1925, _u1928))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__is__empty-1, axiom, ( ( c_Set_Oimage(_u1934, _u1936, _u1938, _u1940) != c_Orderings_Obot__class_Obot(tc_fun(_u1936, tc_HOL_Obool))) | ( _u1940 = c_Orderings_Obot__class_Obot(tc_fun(_u1934, tc_HOL_Obool))) )).
% 43.94/44.11 cnf(fact_image__is__empty-2, axiom, ( ( _u1941 != c_Orderings_Obot__class_Obot(tc_fun(_u1935, tc_HOL_Obool))) | ( c_Set_Oimage(_u1935, _u1937, _u1939, _u1941) = c_Orderings_Obot__class_Obot(tc_fun(_u1937, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__insert-1, axiom, ( ( c_Set_Oimage(_u1942, _u1943, _u1944, hAPP(hAPP(c_Set_Oinsert(_u1942), _u1945), _u1946)) = hAPP(hAPP(c_Set_Oinsert(_u1943), hAPP(_u1944, _u1945)), c_Set_Oimage(_u1942, _u1943, _u1944, _u1946))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__empty-1, axiom, ( ( c_Set_Oimage(_u1947, _u1948, _u1949, c_Orderings_Obot__class_Obot(tc_fun(_u1947, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1948, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_empty__is__image-1, axiom, ( ( _u1960 = c_Orderings_Obot__class_Obot(tc_fun(_u1956, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1954, tc_HOL_Obool)) != c_Set_Oimage(_u1956, _u1954, _u1958, _u1960)) )).
% 43.94/44.11 cnf(fact_empty__is__image-2, axiom, ( ( _u1961 != c_Orderings_Obot__class_Obot(tc_fun(_u1957, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1955, tc_HOL_Obool)) = c_Set_Oimage(_u1957, _u1955, _u1959, _u1961)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u1962, _u1963, _u1964), c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1963, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__ident-1, axiom, ( ( c_Set_Oimage(_u1965, _u1965, c_COMBI(_u1965), _u1966) = _u1966) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__restrict__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__restrict__eq-1, axiom, ( ( c_Set_Oimage(_u1967, _u1968, c_FuncSet_Orestrict(_u1967, _u1968, _u1969, _u1970), _u1970) = c_Set_Oimage(_u1967, _u1968, _u1969, _u1970)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__image ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__image-1, axiom, ( ( c_Set_Oimage(_u1971, _u1972, _u1973, c_Set_Oimage(_u1974, _u1971, _u1975, _u1976)) = c_Set_Oimage(_u1974, _u1972, hAPP(c_COMBB(_u1971, _u1972, _u1974, _u1973), _u1975), _u1976)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1977), _u1978), _u1979)) | ( _u1980 != hAPP(_u1981, _u1978)) | hBOOL(hAPP(hAPP(c_member(_u1982), _u1980), c_Set_Oimage(_u1977, _u1982, _u1981, _u1979))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_imageI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1983), _u1984), _u1985)) | hBOOL(hAPP(hAPP(c_member(_u1986), hAPP(_u1987, _u1984)), c_Set_Oimage(_u1983, _u1986, _u1987, _u1985))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1995), _u1997), c_Set_Oimage(_u1999, _u1995, _u2001, _u2003))) | hBOOL(hAPP(hAPP(c_member(_u1999), skolem85(_u2003, _u2001, _u1999, _u1997)), _u2003)) )).
% 43.94/44.11 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1995), _u1997), c_Set_Oimage(_u1999, _u1995, _u2001, _u2003))) | ( _u1997 = hAPP(_u2001, skolem85(_u2003, _u2001, _u1999, _u1997))) )).
% 43.94/44.11 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2000), _u1989), _u2004)) | ( _u1998 != hAPP(_u2002, _u1989)) | hBOOL(hAPP(hAPP(c_member(_u1996), _u1998), c_Set_Oimage(_u2000, _u1996, _u2002, _u2004))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_surj__compose ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_surj__compose-1, axiom, ( ( c_Set_Oimage(_u2005, _u2006, _u2007, _u2008) != _u2009) | ( c_Set_Oimage(_u2006, _u2010, _u2011, _u2009) != _u2012) | ( c_Set_Oimage(_u2005, _u2010, c_FuncSet_Ocompose(_u2005, _u2006, _u2010, _u2008, _u2011, _u2007), _u2008) = _u2012) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2013), _u2014), _u2015)) | ( hAPP(hAPP(c_Set_Oinsert(_u2016), hAPP(_u2017, _u2014)), c_Set_Oimage(_u2013, _u2016, _u2017, _u2015)) = c_Set_Oimage(_u2013, _u2016, _u2017, _u2015)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__constant__conv-1, axiom, ( ( _u2022 != c_Orderings_Obot__class_Obot(tc_fun(_u2024, tc_HOL_Obool))) | ( c_Set_Oimage(_u2024, _u2026, c_COMBK(_u2026, _u2024, _u2028), _u2022) = c_Orderings_Obot__class_Obot(tc_fun(_u2026, tc_HOL_Obool))) )).
% 43.94/44.11 cnf(fact_image__constant__conv-2, axiom, ( ( _u2023 = c_Orderings_Obot__class_Obot(tc_fun(_u2025, tc_HOL_Obool))) | ( c_Set_Oimage(_u2025, _u2027, c_COMBK(_u2027, _u2025, _u2029), _u2023) = hAPP(hAPP(c_Set_Oinsert(_u2027), _u2029), c_Orderings_Obot__class_Obot(tc_fun(_u2027, tc_HOL_Obool)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u2030, _u2030, c_Relation_OId__on(_u2030, _u2031)), _u2032) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2030, tc_HOL_Obool), _u2031, _u2032)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u2033, _u2034, _u2035, _u2036) | hBOOL(hAPP(hAPP(c_member(_u2034), _u2037), c_Set_Oimage(_u2033, _u2034, _u2035, _u2036))) | c_Fun_Oinj__on(_u2033, _u2034, c_Fun_Ofun__upd(_u2033, _u2034, _u2035, _u2038, _u2037), _u2036) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2046), _u2048), hAPP(c_Relation_OImage(_u2050, _u2046, _u2052), _u2054))) | hBOOL(hAPP(hAPP(c_member(_u2050), skolem86(_u2054, _u2052, _u2050, _u2048, _u2046)), _u2054)) )).
% 43.94/44.11 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2046), _u2048), hAPP(c_Relation_OImage(_u2050, _u2046, _u2052), _u2054))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2050, _u2046)), hAPP(hAPP(c_Product__Type_OPair(_u2050, _u2046), skolem86(_u2054, _u2052, _u2050, _u2048, _u2046)), _u2048)), _u2052)) )).
% 43.94/44.11 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2051), _u2040), _u2055)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2051, _u2047)), hAPP(hAPP(c_Product__Type_OPair(_u2051, _u2047), _u2040), _u2049)), _u2053)) | hBOOL(hAPP(hAPP(c_member(_u2047), _u2049), hAPP(c_Relation_OImage(_u2051, _u2047, _u2053), _u2055))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2056), _u2057), _u2058)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2056, _u2059)), hAPP(hAPP(c_Product__Type_OPair(_u2056, _u2059), _u2057), _u2060)), _u2061)) | hBOOL(hAPP(hAPP(c_member(_u2059), _u2060), hAPP(c_Relation_OImage(_u2056, _u2059, _u2061), _u2058))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2062), _u2063), _u2064)) | ( c_Set_Oimage(_u2062, _u2065, c_COMBK(_u2065, _u2062, _u2066), _u2064) = hAPP(hAPP(c_Set_Oinsert(_u2065), _u2066), c_Orderings_Obot__class_Obot(tc_fun(_u2065, tc_HOL_Obool)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u2067, _u2068, c_Relation_Oconverse(_u2068, _u2067, _u2069)) | ( hAPP(c_Relation_OImage(_u2068, _u2067, _u2069), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2068, tc_HOL_Obool), _u2070, _u2071)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2067, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2068, _u2067, _u2069), _u2070), hAPP(c_Relation_OImage(_u2068, _u2067, _u2069), _u2071))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2073), _u2074), hAPP(c_Relation_OImage(_u2075, _u2073, _u2076), _u2077))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2075, _u2073)), hAPP(hAPP(c_Product__Type_OPair(_u2075, _u2073), skolem87(_u2077, _u2076, _u2075, _u2074, _u2073)), _u2074)), _u2076)) )).
% 43.94/44.11 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2073), _u2074), hAPP(c_Relation_OImage(_u2075, _u2073, _u2076), _u2077))) | hBOOL(hAPP(hAPP(c_member(_u2075), skolem87(_u2077, _u2076, _u2075, _u2074, _u2073)), _u2077)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2078, _u2079, _u2080) | ~hBOOL(hAPP(hAPP(c_member(_u2078), _u2081), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2078, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2078, _u2078, _u2080), hAPP(hAPP(c_Set_Oinsert(_u2078), _u2082), c_Orderings_Obot__class_Obot(tc_fun(_u2078, tc_HOL_Obool)))), hAPP(c_Relation_OImage(_u2078, _u2078, _u2080), hAPP(hAPP(c_Set_Oinsert(_u2078), _u2083), c_Orderings_Obot__class_Obot(tc_fun(_u2078, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2078, _u2078)), hAPP(hAPP(c_Product__Type_OPair(_u2078, _u2078), _u2082), _u2083)), _u2080)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inv__into__funcset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inv__into__funcset-1, axiom, ( ( c_Set_Oimage(_u2084, _u2085, _u2086, _u2087) != _u2088) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2085, _u2084)), c_FuncSet_Orestrict(_u2085, _u2084, c_Hilbert__Choice_Oinv__into(_u2084, _u2085, _u2087, _u2086), _u2088)), c_FuncSet_OPi(_u2085, _u2084, _u2088, c_COMBK(tc_fun(_u2084, tc_HOL_Obool), _u2085, _u2087)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2089, _u2090, _u2091) | ~hBOOL(hAPP(hAPP(c_member(_u2089), _u2092), _u2090)) | hBOOL(hAPP(hAPP(c_member(_u2089), _u2092), hAPP(c_Relation_OImage(_u2089, _u2089, _u2091), hAPP(hAPP(c_Set_Oinsert(_u2089), _u2092), c_Orderings_Obot__class_Obot(tc_fun(_u2089, tc_HOL_Obool)))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2093, _u2094, _u2095) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2093, _u2093)), hAPP(hAPP(c_Product__Type_OPair(_u2093, _u2093), _u2096), _u2097)), _u2095)) | ( hAPP(c_Relation_OImage(_u2093, _u2093, _u2095), hAPP(hAPP(c_Set_Oinsert(_u2093), _u2096), c_Orderings_Obot__class_Obot(tc_fun(_u2093, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u2093, _u2093, _u2095), hAPP(hAPP(c_Set_Oinsert(_u2093), _u2097), c_Orderings_Obot__class_Obot(tc_fun(_u2093, tc_HOL_Obool))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_compose__id__inv__into ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_compose__id__inv__into-1, axiom, ( ( c_Set_Oimage(_u2098, _u2099, _u2100, _u2101) != _u2102) | ( c_FuncSet_Ocompose(_u2099, _u2098, _u2099, _u2102, _u2100, c_FuncSet_Orestrict(_u2099, _u2098, c_Hilbert__Choice_Oinv__into(_u2098, _u2099, _u2101, _u2100), _u2102)) = c_FuncSet_Orestrict(_u2099, _u2099, c_COMBI(_u2099), _u2102)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u2103, _u2103, _u2104), hAPP(hAPP(c_Set_Oinsert(_u2103), _u2105), c_Orderings_Obot__class_Obot(tc_fun(_u2103, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u2103, _u2103, _u2104), hAPP(hAPP(c_Set_Oinsert(_u2103), _u2106), c_Orderings_Obot__class_Obot(tc_fun(_u2103, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u2103, _u2107, _u2104) | ~hBOOL(hAPP(hAPP(c_member(_u2103), _u2106), _u2107)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2103, _u2103)), hAPP(hAPP(c_Product__Type_OPair(_u2103, _u2103), _u2105), _u2106)), _u2104)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2108, _u2109, _u2110) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2111), _u2109)) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2112), _u2109)) | ( hAPP(c_Relation_OImage(_u2108, _u2108, _u2110), hAPP(hAPP(c_Set_Oinsert(_u2108), _u2111), c_Orderings_Obot__class_Obot(tc_fun(_u2108, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u2108, _u2108, _u2110), hAPP(hAPP(c_Set_Oinsert(_u2108), _u2112), c_Orderings_Obot__class_Obot(tc_fun(_u2108, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2108, _u2108)), hAPP(hAPP(c_Product__Type_OPair(_u2108, _u2108), _u2111), _u2112)), _u2110)) )).
% 43.94/44.11 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u2108, _u2109, _u2110) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2111), _u2109)) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2112), _u2109)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2108, _u2108)), hAPP(hAPP(c_Product__Type_OPair(_u2108, _u2108), _u2111), _u2112)), _u2110)) | ( hAPP(c_Relation_OImage(_u2108, _u2108, _u2110), hAPP(hAPP(c_Set_Oinsert(_u2108), _u2111), c_Orderings_Obot__class_Obot(tc_fun(_u2108, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u2108, _u2108, _u2110), hAPP(hAPP(c_Set_Oinsert(_u2108), _u2112), c_Orderings_Obot__class_Obot(tc_fun(_u2108, tc_HOL_Obool))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2113, _u2114, _u2115) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2113, _u2113)), hAPP(hAPP(c_Product__Type_OPair(_u2113, _u2113), _u2116), _u2117)), _u2115)) | ( hAPP(c_Relation_OImage(_u2113, _u2113, _u2115), hAPP(hAPP(c_Set_Oinsert(_u2113), _u2116), c_Orderings_Obot__class_Obot(tc_fun(_u2113, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u2113, _u2113, _u2115), hAPP(hAPP(c_Set_Oinsert(_u2113), _u2117), c_Orderings_Obot__class_Obot(tc_fun(_u2113, tc_HOL_Obool))))) )).
% 43.94/44.11 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u2113, _u2114, _u2115) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2113, _u2113)), hAPP(hAPP(c_Product__Type_OPair(_u2113, _u2113), _u2116), _u2117)), _u2115)) | hBOOL(hAPP(hAPP(c_member(_u2113), _u2116), _u2114)) )).
% 43.94/44.11 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u2113, _u2114, _u2115) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2113, _u2113)), hAPP(hAPP(c_Product__Type_OPair(_u2113, _u2113), _u2116), _u2117)), _u2115)) | hBOOL(hAPP(hAPP(c_member(_u2113), _u2117), _u2114)) )).
% 43.94/44.11 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u2113, _u2114, _u2115) | ( hAPP(c_Relation_OImage(_u2113, _u2113, _u2115), hAPP(hAPP(c_Set_Oinsert(_u2113), _u2116), c_Orderings_Obot__class_Obot(tc_fun(_u2113, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u2113, _u2113, _u2115), hAPP(hAPP(c_Set_Oinsert(_u2113), _u2117), c_Orderings_Obot__class_Obot(tc_fun(_u2113, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u2113), _u2116), _u2114)) | ~hBOOL(hAPP(hAPP(c_member(_u2113), _u2117), _u2114)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2113, _u2113)), hAPP(hAPP(c_Product__Type_OPair(_u2113, _u2113), _u2116), _u2117)), _u2115)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inv__into__f__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u2118, _u2119, _u2120, _u2121) | ~hBOOL(hAPP(hAPP(c_member(_u2118), _u2122), _u2121)) | ( hAPP(_u2120, _u2122) != _u2123) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2118, _u2119, _u2121, _u2120), _u2123) = _u2122) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inv__into__f__f ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u2124, _u2125, _u2126, _u2127) | ~hBOOL(hAPP(hAPP(c_member(_u2124), _u2128), _u2127)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2124, _u2125, _u2127, _u2126), hAPP(_u2126, _u2128)) = _u2128) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inv__into__injective ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inv__into__injective-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u2129, _u2130, _u2131, _u2132), _u2133) != hAPP(c_Hilbert__Choice_Oinv__into(_u2129, _u2130, _u2131, _u2132), _u2134)) | ~hBOOL(hAPP(hAPP(c_member(_u2130), _u2133), c_Set_Oimage(_u2129, _u2130, _u2132, _u2131))) | ~hBOOL(hAPP(hAPP(c_member(_u2130), _u2134), c_Set_Oimage(_u2129, _u2130, _u2132, _u2131))) | ( _u2133 = _u2134) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_f__inv__into__f ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_f__inv__into__f-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2135), _u2136), c_Set_Oimage(_u2137, _u2135, _u2138, _u2139))) | ( hAPP(_u2138, hAPP(c_Hilbert__Choice_Oinv__into(_u2137, _u2135, _u2139, _u2138), _u2136)) = _u2136) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inv__into__into ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inv__into__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2140), _u2141), c_Set_Oimage(_u2142, _u2140, _u2143, _u2144))) | hBOOL(hAPP(hAPP(c_member(_u2142), hAPP(c_Hilbert__Choice_Oinv__into(_u2142, _u2140, _u2144, _u2143), _u2141)), _u2144)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2145, _u2146, _u2147) | ~hBOOL(hAPP(hAPP(c_member(_u2145), _u2148), _u2146)) | ~hBOOL(hAPP(hAPP(c_member(_u2145), _u2149), _u2146)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2145), hAPP(hAPP(c_Set_Oinsert(_u2145), _u2148), c_Orderings_Obot__class_Obot(tc_fun(_u2145, tc_HOL_Obool)))), _u2147) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2145), hAPP(hAPP(c_Set_Oinsert(_u2145), _u2149), c_Orderings_Obot__class_Obot(tc_fun(_u2145, tc_HOL_Obool)))), _u2147)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2145, _u2145)), hAPP(hAPP(c_Product__Type_OPair(_u2145, _u2145), _u2148), _u2149)), _u2147)) )).
% 43.94/44.11 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u2145, _u2146, _u2147) | ~hBOOL(hAPP(hAPP(c_member(_u2145), _u2148), _u2146)) | ~hBOOL(hAPP(hAPP(c_member(_u2145), _u2149), _u2146)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2145, _u2145)), hAPP(hAPP(c_Product__Type_OPair(_u2145, _u2145), _u2148), _u2149)), _u2147)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2145), hAPP(hAPP(c_Set_Oinsert(_u2145), _u2148), c_Orderings_Obot__class_Obot(tc_fun(_u2145, tc_HOL_Obool)))), _u2147) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2145), hAPP(hAPP(c_Set_Oinsert(_u2145), _u2149), c_Orderings_Obot__class_Obot(tc_fun(_u2145, tc_HOL_Obool)))), _u2147)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2150, _u2151, _u2152) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2150, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2150, _u2150, _u2152), hAPP(hAPP(c_Set_Oinsert(_u2150), _u2153), c_Orderings_Obot__class_Obot(tc_fun(_u2150, tc_HOL_Obool)))), hAPP(c_Relation_OImage(_u2150, _u2150, _u2152), hAPP(hAPP(c_Set_Oinsert(_u2150), _u2154), c_Orderings_Obot__class_Obot(tc_fun(_u2150, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u2150), _u2153), _u2151)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2150, _u2150)), hAPP(hAPP(c_Product__Type_OPair(_u2150, _u2150), _u2154), _u2153)), _u2152)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2155) | c_Orderings_Oord__class_Oless__eq(_u2155, _u2156, _u2156) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_equalityI-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2157, tc_HOL_Obool), _u2158, _u2159) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2157, tc_HOL_Obool), _u2159, _u2158) | ( _u2158 = _u2159) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subsetD-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2160, tc_HOL_Obool), _u2161, _u2162) | ~hBOOL(hAPP(hAPP(c_member(_u2160), _u2163), _u2161)) | hBOOL(hAPP(hAPP(c_member(_u2160), _u2163), _u2162)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_empty__subsetI-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2164, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_u2164, tc_HOL_Obool)), _u2165) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2166, _u2166)), _u2167), c_Transitive__Closure_Otrancl(_u2166, _u2168))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2166, _u2166), tc_HOL_Obool), _u2168, _u2169) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2166, _u2166)), _u2167), c_Transitive__Closure_Otrancl(_u2166, _u2169))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Image__Int__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2170, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2171, _u2170, _u2172), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2171, tc_HOL_Obool), _u2173, _u2174)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2170, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2171, _u2170, _u2172), _u2173), hAPP(c_Relation_OImage(_u2171, _u2170, _u2172), _u2174))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Image__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2175, _u2176), tc_HOL_Obool), _u2177, _u2178) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2175, tc_HOL_Obool), _u2179, _u2180) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2176, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2175, _u2176, _u2177), _u2179), hAPP(c_Relation_OImage(_u2175, _u2176, _u2178), _u2180)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__image__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2188, tc_HOL_Obool), _u2190, c_Set_Oimage(_u2192, _u2188, _u2194, _u2196)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2192, tc_HOL_Obool), skolem88(_u2196, _u2194, _u2192, _u2190, _u2188), _u2196) )).
% 43.94/44.11 cnf(fact_subset__image__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2188, tc_HOL_Obool), _u2190, c_Set_Oimage(_u2192, _u2188, _u2194, _u2196)) | ( _u2190 = c_Set_Oimage(_u2192, _u2188, _u2194, skolem88(_u2196, _u2194, _u2192, _u2190, _u2188))) )).
% 43.94/44.11 cnf(fact_subset__image__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2193, tc_HOL_Obool), _u2182, _u2197) | ( _u2191 != c_Set_Oimage(_u2193, _u2189, _u2195, _u2182)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2189, tc_HOL_Obool), _u2191, c_Set_Oimage(_u2193, _u2189, _u2195, _u2197)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2198, tc_HOL_Obool), _u2199, _u2200) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2201, tc_HOL_Obool), c_Set_Oimage(_u2198, _u2201, _u2202, _u2199), c_Set_Oimage(_u2198, _u2201, _u2202, _u2200)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u2203, _u2204, _u2205, _u2206) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2203, tc_HOL_Obool), _u2207, _u2206) | c_Fun_Oinj__on(_u2203, _u2204, _u2205, _u2207) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_double__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2208, tc_HOL_Obool), _u2209, _u2210) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2208, tc_HOL_Obool), _u2210, _u2211) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u2208, tc_HOL_Obool), _u2210, c_Groups_Ominus__class_Ominus(tc_fun(_u2208, tc_HOL_Obool), _u2211, _u2209)) = _u2209) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2212, tc_HOL_Obool), _u2213, _u2214) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2212, tc_HOL_Obool), _u2215, _u2216) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2212, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2212, tc_HOL_Obool), _u2213, _u2216), c_Groups_Ominus__class_Ominus(tc_fun(_u2212, tc_HOL_Obool), _u2214, _u2215)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Diff__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2217, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2217, tc_HOL_Obool), _u2218, _u2219), _u2218) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u2220) | c_Orderings_Oord__class_Oless__eq(_u2220, _u2221, _u2222) | c_Orderings_Oord__class_Oless__eq(_u2220, _u2222, _u2221) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u2223) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2224, _u2223), _u2225, _u2226) | c_Orderings_Oord__class_Oless__eq(_u2223, hAPP(_u2225, _u2227), hAPP(_u2226, _u2227)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u2228) | ~c_Orderings_Oord__class_Oless__eq(_u2228, _u2229, _u2230) | ~c_Orderings_Oord__class_Oless__eq(_u2228, _u2231, _u2229) | c_Orderings_Oord__class_Oless__eq(_u2228, _u2231, _u2230) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u2232) | ~c_Orderings_Oord__class_Oless__eq(_u2232, _u2233, _u2234) | ~c_Orderings_Oord__class_Oless__eq(_u2232, _u2234, _u2233) | ( _u2234 = _u2233) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2235) | ~c_Orderings_Oord__class_Oless__eq(_u2235, _u2236, _u2237) | ~c_Orderings_Oord__class_Oless__eq(_u2235, _u2237, _u2238) | c_Orderings_Oord__class_Oless__eq(_u2235, _u2236, _u2238) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u2239) | ~c_Orderings_Oord__class_Oless__eq(_u2239, _u2240, _u2241) | ~c_Orderings_Oord__class_Oless__eq(_u2239, _u2241, _u2240) | ( _u2240 = _u2241) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u2242) | ~c_Orderings_Oord__class_Oless__eq(_u2242, _u2243, _u2244) | ( _u2243 != _u2245) | c_Orderings_Oord__class_Oless__eq(_u2242, _u2245, _u2244) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u2246) | ~c_Orderings_Oord__class_Oless__eq(_u2246, _u2247, _u2248) | ( _u2248 != _u2249) | c_Orderings_Oord__class_Oless__eq(_u2246, _u2247, _u2249) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u2250) | ( _u2251 != _u2252) | ~c_Orderings_Oord__class_Oless__eq(_u2250, _u2253, _u2252) | c_Orderings_Oord__class_Oless__eq(_u2250, _u2253, _u2251) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u2254) | ( _u2255 != _u2256) | ~c_Orderings_Oord__class_Oless__eq(_u2254, _u2256, _u2257) | c_Orderings_Oord__class_Oless__eq(_u2254, _u2255, _u2257) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u2258) | ~c_Orderings_Oord__class_Oless__eq(_u2258, _u2259, _u2260) | ~c_Orderings_Oord__class_Oless__eq(_u2258, _u2260, _u2259) | ( _u2260 = _u2259) )).
% 43.94/44.11 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u2258) | ~c_Orderings_Oord__class_Oless__eq(_u2258, _u2259, _u2260) | ( _u2260 != _u2259) | c_Orderings_Oord__class_Oless__eq(_u2258, _u2260, _u2259) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u2261) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2262, _u2261), _u2263, _u2264) | c_Orderings_Oord__class_Oless__eq(_u2261, hAPP(_u2263, _u2265), hAPP(_u2264, _u2265)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2266) | ( _u2267 != _u2268) | c_Orderings_Oord__class_Oless__eq(_u2266, _u2267, _u2268) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u2269) | ( _u2270 != _u2271) | c_Orderings_Oord__class_Oless__eq(_u2269, _u2270, _u2271) )).
% 43.94/44.11 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u2269) | ( _u2270 != _u2271) | c_Orderings_Oord__class_Oless__eq(_u2269, _u2271, _u2270) )).
% 43.94/44.11 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u2269) | ~c_Orderings_Oord__class_Oless__eq(_u2269, _u2270, _u2271) | ~c_Orderings_Oord__class_Oless__eq(_u2269, _u2271, _u2270) | ( _u2270 = _u2271) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2272) | c_Orderings_Oord__class_Oless__eq(_u2272, _u2273, _u2274) | c_Orderings_Oord__class_Oless__eq(_u2272, _u2274, _u2273) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2277) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2278, _u2277), _u2279, _u2280) | c_Orderings_Oord__class_Oless__eq(_u2277, hAPP(_u2279, _u2275), hAPP(_u2280, _u2275)) )).
% 43.94/44.11 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2277) | ~c_Orderings_Oord__class_Oless__eq(_u2277, hAPP(_u2279, skolem89(_u2280, _u2279, _u2278, _u2277)), hAPP(_u2280, skolem89(_u2280, _u2279, _u2278, _u2277))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2278, _u2277), _u2279, _u2280) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u2281, _u2282) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2281, _u2281), tc_HOL_Obool), _u2283, _u2282) | c_Wellfounded_Oacyclic(_u2281, _u2283) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_single__valued__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2284, _u2285), tc_HOL_Obool), _u2286, _u2287) | ~c_Relation_Osingle__valued(_u2284, _u2285, _u2287) | c_Relation_Osingle__valued(_u2284, _u2285, _u2286) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_pred__subset__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2291, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2291, tc_fun(_u2291, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2291)), _u2293), hAPP(hAPP(c_COMBC(_u2291, tc_fun(_u2291, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2291)), _u2295)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2291, tc_HOL_Obool), _u2293, _u2295) )).
% 43.94/44.11 cnf(fact_pred__subset__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2292, tc_HOL_Obool), _u2294, _u2296) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2292, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2292, tc_fun(_u2292, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2292)), _u2294), hAPP(hAPP(c_COMBC(_u2292, tc_fun(_u2292, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2292)), _u2296)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_in__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2297, tc_HOL_Obool), _u2298, _u2299) | ~hBOOL(hAPP(hAPP(c_member(_u2297), _u2300), _u2298)) | hBOOL(hAPP(hAPP(c_member(_u2297), _u2300), _u2299)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2301), _u2302), _u2303)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2301, tc_HOL_Obool), _u2303, _u2304) | hBOOL(hAPP(hAPP(c_member(_u2301), _u2302), _u2304)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_set__mp-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2305, tc_HOL_Obool), _u2306, _u2307) | ~hBOOL(hAPP(hAPP(c_member(_u2305), _u2308), _u2306)) | hBOOL(hAPP(hAPP(c_member(_u2305), _u2308), _u2307)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_acc__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2309, _u2309), tc_HOL_Obool), _u2310, _u2311) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2309, tc_HOL_Obool), c_Wellfounded_Oacc(_u2309, _u2311), c_Wellfounded_Oacc(_u2309, _u2310)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Pi__anti__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Pi__anti__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2312, tc_HOL_Obool), _u2313, _u2314) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u2312, _u2315), tc_HOL_Obool), c_FuncSet_OPi(_u2312, _u2315, _u2314, _u2316), c_FuncSet_OPi(_u2312, _u2315, _u2313, _u2316)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u2318, _u2320)) | hBOOL(hAPP(_u2319, _u2320)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2317, tc_HOL_Obool), _u2318, _u2319) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u2321, _u2322)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2323, tc_HOL_Obool), _u2321, _u2324) | hBOOL(hAPP(_u2324, _u2322)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_equalityE-1, axiom, ( ( _u2325 != _u2326) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2327, tc_HOL_Obool), _u2325, _u2326) )).
% 43.94/44.11 cnf(fact_equalityE-2, axiom, ( ( _u2325 != _u2326) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2327, tc_HOL_Obool), _u2326, _u2325) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2328, tc_HOL_Obool), _u2329, _u2330) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2328, tc_HOL_Obool), _u2330, _u2331) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2328, tc_HOL_Obool), _u2329, _u2331) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_equalityD2-1, axiom, ( ( _u2332 != _u2333) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2334, tc_HOL_Obool), _u2333, _u2332) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_equalityD1-1, axiom, ( ( _u2335 != _u2336) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2337, tc_HOL_Obool), _u2335, _u2336) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_set__eq__subset-1, axiom, ( ( _u2341 != _u2343) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2345, tc_HOL_Obool), _u2341, _u2343) )).
% 43.94/44.11 cnf(fact_set__eq__subset-2, axiom, ( ( _u2341 != _u2343) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2345, tc_HOL_Obool), _u2343, _u2341) )).
% 43.94/44.11 cnf(fact_set__eq__subset-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2346, tc_HOL_Obool), _u2342, _u2344) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2346, tc_HOL_Obool), _u2344, _u2342) | ( _u2342 = _u2344) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2347, tc_HOL_Obool), _u2348, _u2348) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Domain__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2349, _u2350), tc_HOL_Obool), _u2351, _u2352) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2349, tc_HOL_Obool), c_Relation_ODomain(_u2349, _u2350, _u2351), c_Relation_ODomain(_u2349, _u2350, _u2352)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2353, _u2353), tc_HOL_Obool), _u2354, _u2355) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2353, _u2353), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_u2353, _u2354), c_Transitive__Closure_Ortrancl(_u2353, _u2355)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2356, _u2356), tc_HOL_Obool), _u2357, _u2358) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2356, _u2356), tc_HOL_Obool), _u2358, c_Transitive__Closure_Ortrancl(_u2356, _u2357)) | ( c_Transitive__Closure_Ortrancl(_u2356, _u2358) = c_Transitive__Closure_Ortrancl(_u2356, _u2357)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2359, _u2359), tc_HOL_Obool), _u2360, c_Transitive__Closure_Ortrancl(_u2359, _u2361)) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2359, _u2359), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_u2359, _u2360), c_Transitive__Closure_Ortrancl(_u2359, _u2361)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__lower1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2362, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2362, tc_HOL_Obool), _u2363, _u2364), _u2363) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__lower2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2365, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2365, tc_HOL_Obool), _u2366, _u2367), _u2367) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__absorb2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2368, tc_HOL_Obool), _u2369, _u2370) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2368, tc_HOL_Obool), _u2369, _u2370) = _u2369) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__absorb1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2371, tc_HOL_Obool), _u2372, _u2373) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2371, tc_HOL_Obool), _u2373, _u2372) = _u2372) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__greatest-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2374, tc_HOL_Obool), _u2375, _u2376) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2374, tc_HOL_Obool), _u2375, _u2377) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2374, tc_HOL_Obool), _u2375, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2374, tc_HOL_Obool), _u2376, _u2377)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Int__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2378, tc_HOL_Obool), _u2379, _u2380) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2378, tc_HOL_Obool), _u2381, _u2382) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2378, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2378, tc_HOL_Obool), _u2379, _u2381), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2378, tc_HOL_Obool), _u2380, _u2382)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2383) | ~c_Orderings_Oord__class_Oless__eq(_u2383, _u2384, c_Lattices_Osemilattice__inf__class_Oinf(_u2383, _u2385, _u2386)) | c_Orderings_Oord__class_Oless__eq(_u2383, _u2384, _u2385) )).
% 43.94/44.11 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u2383) | ~c_Orderings_Oord__class_Oless__eq(_u2383, _u2384, c_Lattices_Osemilattice__inf__class_Oinf(_u2383, _u2385, _u2386)) | c_Orderings_Oord__class_Oless__eq(_u2383, _u2384, _u2386) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2387) | ~c_Orderings_Oord__class_Oless__eq(_u2387, _u2388, _u2389) | ~c_Orderings_Oord__class_Oless__eq(_u2387, _u2390, _u2391) | c_Orderings_Oord__class_Oless__eq(_u2387, c_Lattices_Osemilattice__inf__class_Oinf(_u2387, _u2388, _u2390), c_Lattices_Osemilattice__inf__class_Oinf(_u2387, _u2389, _u2391)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2392) | ~c_Orderings_Oord__class_Oless__eq(_u2392, _u2393, _u2394) | ~c_Orderings_Oord__class_Oless__eq(_u2392, _u2393, _u2395) | c_Orderings_Oord__class_Oless__eq(_u2392, _u2393, c_Lattices_Osemilattice__inf__class_Oinf(_u2392, _u2394, _u2395)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2396) | ~c_Orderings_Oord__class_Oless__eq(_u2396, _u2397, _u2398) | ~c_Orderings_Oord__class_Oless__eq(_u2396, _u2397, _u2399) | c_Orderings_Oord__class_Oless__eq(_u2396, _u2397, c_Lattices_Osemilattice__inf__class_Oinf(_u2396, _u2398, _u2399)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2400) | ~c_Orderings_Oord__class_Oless__eq(_u2400, _u2401, _u2402) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u2400, _u2402, _u2401) = _u2401) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2403) | ~c_Orderings_Oord__class_Oless__eq(_u2403, _u2404, _u2405) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u2403, _u2404, _u2405) = _u2404) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2406) | ~c_Orderings_Oord__class_Oless__eq(_u2406, _u2407, _u2408) | c_Orderings_Oord__class_Oless__eq(_u2406, c_Lattices_Osemilattice__inf__class_Oinf(_u2406, _u2409, _u2407), _u2408) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2410) | ~c_Orderings_Oord__class_Oless__eq(_u2410, _u2411, _u2412) | c_Orderings_Oord__class_Oless__eq(_u2410, c_Lattices_Osemilattice__inf__class_Oinf(_u2410, _u2411, _u2413), _u2412) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2414) | ~c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, c_Lattices_Osemilattice__inf__class_Oinf(_u2414, _u2416, _u2417)) | c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, _u2416) )).
% 43.94/44.11 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u2414) | ~c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, c_Lattices_Osemilattice__inf__class_Oinf(_u2414, _u2416, _u2417)) | c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, _u2417) )).
% 43.94/44.11 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u2414) | ~c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, _u2416) | ~c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, _u2417) | c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, c_Lattices_Osemilattice__inf__class_Oinf(_u2414, _u2416, _u2417)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2418) | ~c_Orderings_Oord__class_Oless__eq(_u2418, _u2419, _u2420) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u2418, _u2419, _u2420) = _u2419) )).
% 43.94/44.11 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u2418) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u2418, _u2419, _u2420) != _u2419) | c_Orderings_Oord__class_Oless__eq(_u2418, _u2419, _u2420) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2421) | c_Orderings_Oord__class_Oless__eq(_u2421, c_Lattices_Osemilattice__inf__class_Oinf(_u2421, _u2422, _u2423), _u2423) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u2424) | c_Orderings_Oord__class_Oless__eq(_u2424, c_Lattices_Osemilattice__inf__class_Oinf(_u2424, _u2425, _u2426), _u2426) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2427) | c_Orderings_Oord__class_Oless__eq(_u2427, c_Lattices_Osemilattice__inf__class_Oinf(_u2427, _u2428, _u2429), _u2428) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u2430) | c_Orderings_Oord__class_Oless__eq(_u2430, c_Lattices_Osemilattice__inf__class_Oinf(_u2430, _u2431, _u2432), _u2431) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__insertI-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2433, tc_HOL_Obool), _u2434, hAPP(hAPP(c_Set_Oinsert(_u2433), _u2435), _u2434)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__empty-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2438, tc_HOL_Obool), _u2440, c_Orderings_Obot__class_Obot(tc_fun(_u2438, tc_HOL_Obool))) | ( _u2440 = c_Orderings_Obot__class_Obot(tc_fun(_u2438, tc_HOL_Obool))) )).
% 43.94/44.11 cnf(fact_subset__empty-2, axiom, ( ( _u2441 != c_Orderings_Obot__class_Obot(tc_fun(_u2439, tc_HOL_Obool))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2439, tc_HOL_Obool), _u2441, c_Orderings_Obot__class_Obot(tc_fun(_u2439, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__insertI2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2442, tc_HOL_Obool), _u2443, _u2444) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2442, tc_HOL_Obool), _u2443, hAPP(hAPP(c_Set_Oinsert(_u2442), _u2445), _u2444)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2446, tc_HOL_Obool), _u2447, _u2448) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2446, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u2446), _u2449), _u2447), hAPP(hAPP(c_Set_Oinsert(_u2446), _u2449), _u2448)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u2450) | c_Orderings_Oord__class_Oless__eq(_u2450, c_Orderings_Obot__class_Obot(_u2450), _u2451) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_less__by__empty-1, axiom, ( ( _u2452 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2453, _u2453), tc_HOL_Obool))) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2453, _u2453), tc_HOL_Obool), _u2452, _u2454) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__diff__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2455, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2455, tc_HOL_Obool), c_Set_Oimage(_u2456, _u2455, _u2457, _u2458), c_Set_Oimage(_u2456, _u2455, _u2457, _u2459)), c_Set_Oimage(_u2456, _u2455, _u2457, c_Groups_Ominus__class_Ominus(tc_fun(_u2456, tc_HOL_Obool), _u2458, _u2459))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__Int__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2460, tc_HOL_Obool), c_Set_Oimage(_u2461, _u2460, _u2462, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2461, tc_HOL_Obool), _u2463, _u2464)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2460, tc_HOL_Obool), c_Set_Oimage(_u2461, _u2460, _u2462, _u2463), c_Set_Oimage(_u2461, _u2460, _u2462, _u2464))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__singletonD-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2465, tc_HOL_Obool), _u2466, hAPP(hAPP(c_Set_Oinsert(_u2465), _u2467), c_Orderings_Obot__class_Obot(tc_fun(_u2465, tc_HOL_Obool)))) | ( _u2466 = c_Orderings_Obot__class_Obot(tc_fun(_u2465, tc_HOL_Obool))) | ( _u2466 = hAPP(hAPP(c_Set_Oinsert(_u2465), _u2467), c_Orderings_Obot__class_Obot(tc_fun(_u2465, tc_HOL_Obool)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_insert__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2472, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u2472), _u2474), _u2476), _u2478) | hBOOL(hAPP(hAPP(c_member(_u2472), _u2474), _u2478)) )).
% 43.94/44.11 cnf(fact_insert__subset-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2472, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u2472), _u2474), _u2476), _u2478) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2472, tc_HOL_Obool), _u2476, _u2478) )).
% 43.94/44.11 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2473), _u2475), _u2479)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2473, tc_HOL_Obool), _u2477, _u2479) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2473, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u2473), _u2475), _u2477), _u2479) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2480), _u2481), _u2482)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2480, tc_HOL_Obool), _u2482, hAPP(hAPP(c_Set_Oinsert(_u2480), _u2481), _u2483)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2480, tc_HOL_Obool), _u2482, _u2483) )).
% 43.94/44.11 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2480), _u2481), _u2482)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2480, tc_HOL_Obool), _u2482, _u2483) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2480, tc_HOL_Obool), _u2482, hAPP(hAPP(c_Set_Oinsert(_u2480), _u2481), _u2483)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2484), c_Orderings_Obot__class_Obot(tc_fun(_u2484, tc_HOL_Obool))), _u2485) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2484, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2489, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2489), _u2491), _u2493)) | ( _u2491 = c_Orderings_Obot__class_Obot(tc_fun(_u2489, tc_HOL_Obool))) )).
% 43.94/44.11 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u2492 != c_Orderings_Obot__class_Obot(tc_fun(_u2490, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2490, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2490), _u2492), _u2494)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2498), _u2500), _u2502) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2498, tc_HOL_Obool), tc_HOL_Obool))) | ( _u2500 = c_Orderings_Obot__class_Obot(tc_fun(_u2498, tc_HOL_Obool))) )).
% 43.94/44.11 cnf(fact_quotient__is__empty-2, axiom, ( ( _u2501 != c_Orderings_Obot__class_Obot(tc_fun(_u2499, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2499), _u2501), _u2503) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2499, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Image__closed__trancl-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2504, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2504, _u2504, _u2505), _u2506), _u2506) | ( hAPP(c_Relation_OImage(_u2504, _u2504, c_Transitive__Closure_Ortrancl(_u2504, _u2505)), _u2506) = _u2506) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_image__inv__into__cancel ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_image__inv__into__cancel-1, axiom, ( ( c_Set_Oimage(_u2507, _u2508, _u2509, _u2510) != _u2511) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2508, tc_HOL_Obool), _u2512, _u2511) | ( c_Set_Oimage(_u2507, _u2508, _u2509, c_Set_Oimage(_u2508, _u2507, c_Hilbert__Choice_Oinv__into(_u2507, _u2508, _u2510, _u2509), _u2512)) = _u2512) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Domain__Diff__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2513, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2513, tc_HOL_Obool), c_Relation_ODomain(_u2513, _u2514, _u2515), c_Relation_ODomain(_u2513, _u2514, _u2516)), c_Relation_ODomain(_u2513, _u2514, c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u2513, _u2514), tc_HOL_Obool), _u2515, _u2516))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Range__Diff__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2517, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2517, tc_HOL_Obool), c_Relation_ORange(_u2518, _u2517, _u2519), c_Relation_ORange(_u2518, _u2517, _u2520)), c_Relation_ORange(_u2518, _u2517, c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u2518, _u2517), tc_HOL_Obool), _u2519, _u2520))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_extensional__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_extensional__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2521, _u2522)), _u2523), c_FuncSet_Oextensional(_u2521, _u2522, _u2524))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2521, tc_HOL_Obool), _u2524, _u2525) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2521, _u2522)), _u2523), c_FuncSet_Oextensional(_u2521, _u2522, _u2525))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u2530 = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u2531, _u2532, _u2526, _u2530) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2532, tc_HOL_Obool), c_Set_Oimage(_u2531, _u2532, _u2526, _u2530), _u2533) | ( c_Set_Oimage(_u2532, _u2531, skolem90(_u2533, _u2532, _u2531, _u2530), _u2533) = _u2530) )).
% 43.94/44.11 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u2530 = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | ( c_Set_Oimage(_u2532, _u2531, _u2528, _u2533) != _u2530) | c_Fun_Oinj__on(_u2531, _u2532, skolem91(_u2533, _u2532, _u2531, _u2530), _u2530) )).
% 43.94/44.11 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u2530 = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | ( c_Set_Oimage(_u2532, _u2531, _u2528, _u2533) != _u2530) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2532, tc_HOL_Obool), c_Set_Oimage(_u2531, _u2532, skolem91(_u2533, _u2532, _u2531, _u2530), _u2530), _u2533) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u2534, _u2535, _u2536, _u2537) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2534, tc_HOL_Obool), _u2538, _u2537) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2534, tc_HOL_Obool), _u2539, _u2537) | ( c_Set_Oimage(_u2534, _u2535, _u2536, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2534, tc_HOL_Obool), _u2538, _u2539)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2535, tc_HOL_Obool), c_Set_Oimage(_u2534, _u2535, _u2536, _u2538), c_Set_Oimage(_u2534, _u2535, _u2536, _u2539))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u2540, _u2541, _u2542, _u2543) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2540, tc_HOL_Obool), _u2544, _u2543) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2540, tc_HOL_Obool), _u2545, _u2543) | ( c_Set_Oimage(_u2540, _u2541, _u2542, c_Groups_Ominus__class_Ominus(tc_fun(_u2540, tc_HOL_Obool), _u2544, _u2545)) = c_Groups_Ominus__class_Ominus(tc_fun(_u2541, tc_HOL_Obool), c_Set_Oimage(_u2540, _u2541, _u2542, _u2544), c_Set_Oimage(_u2540, _u2541, _u2542, _u2545))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inv__into__image__cancel ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inv__into__image__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u2546, _u2547, _u2548, _u2549) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2546, tc_HOL_Obool), _u2550, _u2549) | ( c_Set_Oimage(_u2547, _u2546, c_Hilbert__Choice_Oinv__into(_u2546, _u2547, _u2549, _u2548), c_Set_Oimage(_u2546, _u2547, _u2548, _u2550)) = _u2550) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__inv__into ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__inv__into-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2551, tc_HOL_Obool), _u2552, c_Set_Oimage(_u2553, _u2551, _u2554, _u2555)) | c_Fun_Oinj__on(_u2551, _u2553, c_Hilbert__Choice_Oinv__into(_u2553, _u2551, _u2555, _u2554), _u2552) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Domain__Int__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2556, tc_HOL_Obool), c_Relation_ODomain(_u2556, _u2557, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u2556, _u2557), tc_HOL_Obool), _u2558, _u2559)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2556, tc_HOL_Obool), c_Relation_ODomain(_u2556, _u2557, _u2558), c_Relation_ODomain(_u2556, _u2557, _u2559))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Range__Int__subset-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2560, tc_HOL_Obool), c_Relation_ORange(_u2561, _u2560, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u2561, _u2560), tc_HOL_Obool), _u2562, _u2563)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2560, tc_HOL_Obool), c_Relation_ORange(_u2561, _u2560, _u2562), c_Relation_ORange(_u2561, _u2560, _u2563))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_funcset__image ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_funcset__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2564, _u2565)), _u2566), c_FuncSet_OPi(_u2564, _u2565, _u2567, c_COMBK(tc_fun(_u2565, tc_HOL_Obool), _u2564, _u2568)))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2565, tc_HOL_Obool), c_Set_Oimage(_u2564, _u2565, _u2566, _u2567), _u2568) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2569), hAPP(hAPP(c_Set_Oinsert(_u2569), _u2570), c_Orderings_Obot__class_Obot(tc_fun(_u2569, tc_HOL_Obool)))), _u2571) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2569, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2569, _u2569, _u2571), hAPP(hAPP(c_Set_Oinsert(_u2569), _u2570), c_Orderings_Obot__class_Obot(tc_fun(_u2569, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2569, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_diff__single__insert-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2572, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2572, tc_HOL_Obool), _u2573, hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool)))), _u2575) | ~hBOOL(hAPP(hAPP(c_member(_u2572), _u2574), _u2573)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2572, tc_HOL_Obool), _u2573, hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), _u2575)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_subset__insert__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2580, tc_HOL_Obool), _u2582, hAPP(hAPP(c_Set_Oinsert(_u2580), _u2584), _u2586)) | ~hBOOL(hAPP(hAPP(c_member(_u2580), _u2584), _u2582)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2580, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2580, tc_HOL_Obool), _u2582, hAPP(hAPP(c_Set_Oinsert(_u2580), _u2584), c_Orderings_Obot__class_Obot(tc_fun(_u2580, tc_HOL_Obool)))), _u2586) )).
% 43.94/44.11 cnf(fact_subset__insert__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2580, tc_HOL_Obool), _u2582, hAPP(hAPP(c_Set_Oinsert(_u2580), _u2584), _u2586)) | hBOOL(hAPP(hAPP(c_member(_u2580), _u2584), _u2582)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2580, tc_HOL_Obool), _u2582, _u2586) )).
% 43.94/44.11 cnf(fact_subset__insert__iff-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), _u2583, hAPP(hAPP(c_Set_Oinsert(_u2581), _u2585), _u2587)) | hBOOL(hAPP(hAPP(c_member(_u2581), _u2585), _u2583)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), _u2583, _u2587) )).
% 43.94/44.11 cnf(fact_subset__insert__iff-4, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), _u2583, hAPP(hAPP(c_Set_Oinsert(_u2581), _u2585), _u2587)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2581, tc_HOL_Obool), _u2583, hAPP(hAPP(c_Set_Oinsert(_u2581), _u2585), c_Orderings_Obot__class_Obot(tc_fun(_u2581, tc_HOL_Obool)))), _u2587) | ~hBOOL(hAPP(hAPP(c_member(_u2581), _u2585), _u2583)) )).
% 43.94/44.11 cnf(fact_subset__insert__iff-5, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), _u2583, hAPP(hAPP(c_Set_Oinsert(_u2581), _u2585), _u2587)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2581, tc_HOL_Obool), _u2583, hAPP(hAPP(c_Set_Oinsert(_u2581), _u2585), c_Orderings_Obot__class_Obot(tc_fun(_u2581, tc_HOL_Obool)))), _u2587) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), _u2583, _u2587) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2588, _u2589, _u2590) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2588, tc_HOL_Obool)), _u2591), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2588), _u2589), _u2590))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2588, tc_HOL_Obool)), _u2592), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2588), _u2589), _u2590))) | ( _u2591 = _u2592) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2588, tc_HOL_Obool), _u2591, _u2592) = c_Orderings_Obot__class_Obot(tc_fun(_u2588, tc_HOL_Obool))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u2593, tc_fun(tc_fun(_u2593, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2593, tc_fun(tc_prod(_u2593, _u2593), tc_HOL_Obool), tc_fun(tc_fun(_u2593, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2593, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u2593, _u2593), tc_HOL_Obool), tc_fun(tc_fun(_u2593, tc_HOL_Obool), tc_HOL_Obool)), _u2593, c_Equiv__Relations_Oquotient(_u2593)), hAPP(hAPP(c_COMBC(_u2593, tc_fun(_u2593, tc_HOL_Obool), tc_fun(_u2593, tc_HOL_Obool)), c_Set_Oinsert(_u2593)), c_Orderings_Obot__class_Obot(tc_fun(_u2593, tc_HOL_Obool))))), _u2594), _u2595) | ~hBOOL(hAPP(hAPP(c_member(_u2593), _u2596), _u2595)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2593), c_Groups_Ominus__class_Ominus(tc_fun(_u2593, tc_HOL_Obool), _u2595, hAPP(hAPP(c_Set_Oinsert(_u2593), _u2596), c_Orderings_Obot__class_Obot(tc_fun(_u2593, tc_HOL_Obool))))), _u2594) = c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u2593, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2593), _u2595), _u2594), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2593), hAPP(hAPP(c_Set_Oinsert(_u2593), _u2596), c_Orderings_Obot__class_Obot(tc_fun(_u2593, tc_HOL_Obool)))), _u2594))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2597), _u2598), _u2599)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2597, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2597, _u2597, _u2600), hAPP(hAPP(c_Set_Oinsert(_u2597), _u2598), c_Orderings_Obot__class_Obot(tc_fun(_u2597, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2597), _u2599), _u2600))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2601, _u2602, _u2603) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2601, _u2601)), hAPP(hAPP(c_Product__Type_OPair(_u2601, _u2601), _u2604), _u2605)), _u2603)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2601, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2601, _u2601, _u2603), hAPP(hAPP(c_Set_Oinsert(_u2601), _u2604), c_Orderings_Obot__class_Obot(tc_fun(_u2601, tc_HOL_Obool)))), hAPP(c_Relation_OImage(_u2601, _u2601, _u2603), hAPP(hAPP(c_Set_Oinsert(_u2601), _u2605), c_Orderings_Obot__class_Obot(tc_fun(_u2601, tc_HOL_Obool))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2606, _u2607, _u2608) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2606, tc_HOL_Obool)), _u2609), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2606), _u2607), _u2608))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2606, tc_HOL_Obool)), _u2610), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2606), _u2607), _u2608))) | ~hBOOL(hAPP(hAPP(c_member(_u2606), _u2611), _u2609)) | ~hBOOL(hAPP(hAPP(c_member(_u2606), _u2612), _u2610)) | ( _u2609 != _u2610) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2606, _u2606)), hAPP(hAPP(c_Product__Type_OPair(_u2606, _u2606), _u2611), _u2612)), _u2608)) )).
% 43.94/44.11 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u2606, _u2607, _u2608) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2606, tc_HOL_Obool)), _u2609), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2606), _u2607), _u2608))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2606, tc_HOL_Obool)), _u2610), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2606), _u2607), _u2608))) | ~hBOOL(hAPP(hAPP(c_member(_u2606), _u2611), _u2609)) | ~hBOOL(hAPP(hAPP(c_member(_u2606), _u2612), _u2610)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2606, _u2606)), hAPP(hAPP(c_Product__Type_OPair(_u2606, _u2606), _u2611), _u2612)), _u2608)) | ( _u2609 = _u2610) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2613, _u2614, _u2615) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2613, tc_HOL_Obool)), _u2616), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2613), _u2614), _u2615))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2613, tc_HOL_Obool)), _u2617), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2613), _u2614), _u2615))) | ~hBOOL(hAPP(hAPP(c_member(_u2613), _u2618), _u2616)) | ~hBOOL(hAPP(hAPP(c_member(_u2613), _u2619), _u2617)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2613, _u2613)), hAPP(hAPP(c_Product__Type_OPair(_u2613, _u2613), _u2618), _u2619)), _u2615)) | ( _u2616 = _u2617) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_flat__lub__def-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2623, tc_HOL_Obool), _u2625, hAPP(hAPP(c_Set_Oinsert(_u2623), _u2627), c_Orderings_Obot__class_Obot(tc_fun(_u2623, tc_HOL_Obool)))) | ( c_Partial__Function_Oflat__lub(_u2623, _u2627, _u2625) = _u2627) )).
% 43.94/44.11 cnf(fact_flat__lub__def-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2624, tc_HOL_Obool), _u2626, hAPP(hAPP(c_Set_Oinsert(_u2624), _u2628), c_Orderings_Obot__class_Obot(tc_fun(_u2624, tc_HOL_Obool)))) | ( c_Partial__Function_Oflat__lub(_u2624, _u2628, _u2626) = c_HOL_OThe(_u2624, hAPP(hAPP(c_COMBC(_u2624, tc_fun(_u2624, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2624)), c_Groups_Ominus__class_Ominus(tc_fun(_u2624, tc_HOL_Obool), _u2626, hAPP(hAPP(c_Set_Oinsert(_u2624), _u2628), c_Orderings_Obot__class_Obot(tc_fun(_u2624, tc_HOL_Obool))))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2630, tc_HOL_Obool)), _u2631), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2630), _u2632), _u2633))) | ( _u2631 = hAPP(c_Relation_OImage(_u2630, _u2630, _u2633), hAPP(hAPP(c_Set_Oinsert(_u2630), skolem92(_u2633, _u2632, _u2631, _u2630)), c_Orderings_Obot__class_Obot(tc_fun(_u2630, tc_HOL_Obool))))) )).
% 43.94/44.11 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2630, tc_HOL_Obool)), _u2631), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2630), _u2632), _u2633))) | hBOOL(hAPP(hAPP(c_member(_u2630), skolem92(_u2633, _u2632, _u2631, _u2630)), _u2632)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_accp__subset-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2634, tc_fun(_u2634, tc_HOL_Obool)), _u2635, _u2636) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2634, tc_HOL_Obool), c_Wellfounded_Oaccp(_u2634, _u2636), c_Wellfounded_Oaccp(_u2634, _u2635)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_pred__subset__eq2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2641, tc_fun(_u2643, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2641, tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_fun(_u2643, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2643, tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_fun(_u2643, tc_HOL_Obool)), _u2641, c_COMBC(_u2643, tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2643, tc_prod(_u2641, _u2643)), tc_fun(_u2643, tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), _u2641, c_COMBB(tc_prod(_u2641, _u2643), tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool), _u2643, c_member(tc_prod(_u2641, _u2643)))), c_Product__Type_OPair(_u2641, _u2643)))), _u2645), hAPP(hAPP(c_COMBC(_u2641, tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_fun(_u2643, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2643, tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_fun(_u2643, tc_HOL_Obool)), _u2641, c_COMBC(_u2643, tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2643, tc_prod(_u2641, _u2643)), tc_fun(_u2643, tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), _u2641, c_COMBB(tc_prod(_u2641, _u2643), tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool), _u2643, c_member(tc_prod(_u2641, _u2643)))), c_Product__Type_OPair(_u2641, _u2643)))), _u2647)) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), _u2645, _u2647) )).
% 43.94/44.11 cnf(fact_pred__subset__eq2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), _u2646, _u2648) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2642, tc_fun(_u2644, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2642, tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_fun(_u2644, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2644, tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_fun(_u2644, tc_HOL_Obool)), _u2642, c_COMBC(_u2644, tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2644, tc_prod(_u2642, _u2644)), tc_fun(_u2644, tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), _u2642, c_COMBB(tc_prod(_u2642, _u2644), tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool), _u2644, c_member(tc_prod(_u2642, _u2644)))), c_Product__Type_OPair(_u2642, _u2644)))), _u2646), hAPP(hAPP(c_COMBC(_u2642, tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_fun(_u2644, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2644, tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_fun(_u2644, tc_HOL_Obool)), _u2642, c_COMBC(_u2644, tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2644, tc_prod(_u2642, _u2644)), tc_fun(_u2644, tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), _u2642, c_COMBB(tc_prod(_u2642, _u2644), tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool), _u2644, c_member(tc_prod(_u2642, _u2644)))), c_Product__Type_OPair(_u2642, _u2644)))), _u2648)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2649) | ( c_Groups_Ominus__class_Ominus(_u2649, _u2650, _u2651) != c_Groups_Ominus__class_Ominus(_u2649, _u2652, _u2653)) | ~c_Orderings_Oord__class_Oless__eq(_u2649, _u2650, _u2651) | c_Orderings_Oord__class_Oless__eq(_u2649, _u2652, _u2653) )).
% 43.94/44.11 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2649) | ( c_Groups_Ominus__class_Ominus(_u2649, _u2650, _u2651) != c_Groups_Ominus__class_Ominus(_u2649, _u2652, _u2653)) | ~c_Orderings_Oord__class_Oless__eq(_u2649, _u2652, _u2653) | c_Orderings_Oord__class_Oless__eq(_u2649, _u2650, _u2651) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u2654, _u2655, _u2656, _u2657) | ~hBOOL(hAPP(hAPP(c_member(_u2655), _u2658), c_Set_Oimage(_u2654, _u2655, _u2656, _u2657))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2654, tc_HOL_Obool), _u2657, _u2659) | hBOOL(hAPP(hAPP(c_member(_u2654), hAPP(c_Fun_Othe__inv__into(_u2654, _u2655, _u2657, _u2656), _u2658)), _u2659)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u2660, _u2661), _u2662)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2663, tc_fun(_u2664, tc_HOL_Obool)), _u2660, _u2665) | hBOOL(hAPP(hAPP(_u2665, _u2661), _u2662)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u2668, _u2670), _u2671)) | hBOOL(hAPP(hAPP(_u2669, _u2670), _u2671)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2666, tc_fun(_u2667, tc_HOL_Obool)), _u2668, _u2669) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u2672) | ( c_Groups_Ominus__class_Ominus(_u2672, _u2673, _u2674) != c_Groups_Ominus__class_Ominus(_u2672, _u2675, _u2676)) | ( _u2673 != _u2674) | ( _u2675 = _u2676) )).
% 43.94/44.11 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u2672) | ( c_Groups_Ominus__class_Ominus(_u2672, _u2673, _u2674) != c_Groups_Ominus__class_Ominus(_u2672, _u2675, _u2676)) | ( _u2675 != _u2676) | ( _u2673 = _u2674) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u2677, _u2678, _u2679, _u2680) | ( hAPP(_u2679, _u2681) != _u2682) | ~hBOOL(hAPP(hAPP(c_member(_u2677), _u2681), _u2680)) | ( hAPP(c_Fun_Othe__inv__into(_u2677, _u2678, _u2680, _u2679), _u2682) = _u2681) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u2683, _u2684, _u2685, _u2686) | ~hBOOL(hAPP(hAPP(c_member(_u2683), _u2687), _u2686)) | ( hAPP(c_Fun_Othe__inv__into(_u2683, _u2684, _u2686, _u2685), hAPP(_u2685, _u2687)) = _u2687) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u2688, _u2689, _u2690, _u2691) | c_Fun_Oinj__on(_u2689, _u2688, c_Fun_Othe__inv__into(_u2688, _u2689, _u2691, _u2690), c_Set_Oimage(_u2688, _u2689, _u2690, _u2691)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u2692, _u2693, _u2694, _u2695) | ( c_Set_Oimage(_u2693, _u2692, c_Fun_Othe__inv__into(_u2692, _u2693, _u2695, _u2694), c_Set_Oimage(_u2692, _u2693, _u2694, _u2695)) = _u2695) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u2696, _u2697, _u2698, _u2699), _u2700) = c_HOL_OThe(_u2696, hAPP(hAPP(c_COMBS(_u2696, tc_HOL_Obool, tc_HOL_Obool), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2696, c_fconj), hAPP(hAPP(c_COMBC(_u2696, tc_fun(_u2696, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2696)), _u2698))), hAPP(hAPP(c_COMBC(_u2696, _u2697, tc_HOL_Obool), hAPP(c_COMBB(_u2697, tc_fun(_u2697, tc_HOL_Obool), _u2696, c_fequal), _u2699)), _u2700)))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u2701, _u2702, _u2703, _u2704) | ~hBOOL(hAPP(hAPP(c_member(_u2702), _u2705), c_Set_Oimage(_u2701, _u2702, _u2703, _u2704))) | ( hAPP(_u2703, hAPP(c_Fun_Othe__inv__into(_u2701, _u2702, _u2704, _u2703), _u2705)) = _u2705) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2706), _u2707), _u2708) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2706, tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool), _u2707, hAPP(hAPP(c_COMBC(_u2706, tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2706, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool)), _u2706, c_Set_Oinsert(tc_fun(_u2706, tc_HOL_Obool))), hAPP(c_COMBB(tc_fun(_u2706, tc_HOL_Obool), tc_fun(_u2706, tc_HOL_Obool), _u2706, c_Relation_OImage(_u2706, _u2706, _u2708)), hAPP(hAPP(c_COMBC(_u2706, tc_fun(_u2706, tc_HOL_Obool), tc_fun(_u2706, tc_HOL_Obool)), c_Set_Oinsert(_u2706)), c_Orderings_Obot__class_Obot(tc_fun(_u2706, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u2709, _u2710, _u2711, _u2712) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2709, _u2709)), hAPP(hAPP(c_Product__Type_OPair(_u2709, _u2709), _u2713), _u2714)), _u2711)) | ( hAPP(_u2712, _u2713) = hAPP(_u2712, _u2714)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2715), _u2716), _u2717)) | ~hBOOL(hAPP(hAPP(_u2718, _u2716), _u2719)) | hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2715, tc_fun(_u2720, tc_HOL_Obool), _u2717, _u2718), _u2719)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2728, tc_fun(_u2730, tc_HOL_Obool), _u2732, _u2734), _u2736)) | hBOOL(hAPP(hAPP(c_member(_u2728), skolem93(_u2736, _u2734, _u2732, _u2730, _u2728)), _u2732)) )).
% 43.94/44.11 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2728, tc_fun(_u2730, tc_HOL_Obool), _u2732, _u2734), _u2736)) | hBOOL(hAPP(hAPP(_u2734, skolem93(_u2736, _u2734, _u2732, _u2730, _u2728)), _u2736)) )).
% 43.94/44.11 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2729), _u2722), _u2733)) | ~hBOOL(hAPP(hAPP(_u2735, _u2722), _u2737)) | hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2729, tc_fun(_u2731, tc_HOL_Obool), _u2733, _u2735), _u2737)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u2738, _u2739, _u2740), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2741, tc_fun(_u2738, tc_HOL_Obool), _u2742, _u2743)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2741, tc_fun(_u2739, tc_HOL_Obool), _u2742, hAPP(c_COMBB(tc_fun(_u2738, tc_HOL_Obool), tc_fun(_u2739, tc_HOL_Obool), _u2741, c_Relation_OImage(_u2738, _u2739, _u2740)), _u2743))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2744, _u2745, _u2746) | ~c_Equiv__Relations_Ocongruent(_u2744, tc_fun(_u2747, tc_HOL_Obool), _u2746, _u2748) | ~hBOOL(hAPP(hAPP(c_member(_u2744), _u2749), _u2745)) | ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2744, tc_fun(_u2747, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2744, _u2744, _u2746), hAPP(hAPP(c_Set_Oinsert(_u2744), _u2749), c_Orderings_Obot__class_Obot(tc_fun(_u2744, tc_HOL_Obool)))), _u2748) = hAPP(_u2748, _u2749)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u2750, _u2751, _u2752), _u2753) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2750, tc_fun(_u2751, tc_HOL_Obool), _u2753, hAPP(c_COMBB(tc_fun(_u2750, tc_HOL_Obool), tc_fun(_u2751, tc_HOL_Obool), _u2750, c_Relation_OImage(_u2750, _u2751, _u2752)), hAPP(hAPP(c_COMBC(_u2750, tc_fun(_u2750, tc_HOL_Obool), tc_fun(_u2750, tc_HOL_Obool)), c_Set_Oinsert(_u2750)), c_Orderings_Obot__class_Obot(tc_fun(_u2750, tc_HOL_Obool)))))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 43.94/44.11 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2754), _u2755), _u2756)) | ~hBOOL(hAPP(hAPP(c_member(_u2757), _u2758), hAPP(_u2759, _u2755))) | hBOOL(hAPP(hAPP(c_member(_u2757), _u2758), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2754, tc_fun(_u2757, tc_HOL_Obool), _u2756, _u2759))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u2760) | class_Lattices_Obounded__lattice(tc_fun(_u2761, _u2760)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u2762) | class_Lattices_Obounded__lattice__bot(tc_fun(_u2763, _u2762)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u2764) | class_Lattices_Osemilattice__inf(tc_fun(_u2765, _u2764)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u2766) | class_Orderings_Opreorder(tc_fun(_u2767, _u2766)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u2768) | class_Lattices_Olattice(tc_fun(_u2769, _u2768)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u2770) | class_Orderings_Oorder(tc_fun(_u2771, _u2770)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u2772) | class_Orderings_Oord(tc_fun(_u2773, _u2772)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u2774) | class_Orderings_Obot(tc_fun(_u2775, _u2774)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u2776) | class_Groups_Ominus(tc_fun(_u2777, _u2776)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 43.94/44.11
% 43.94/44.11 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 43.94/44.11 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u2778), _u2779) = _u2779) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(c_COMBK(_u2780, _u2781, _u2782), _u2783) = _u2782) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(c_COMBB(_u2784, _u2785, _u2786, _u2787), _u2788), _u2789) = hAPP(_u2787, hAPP(_u2788, _u2789))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u2790, _u2791, _u2792), _u2793), _u2794), _u2795) = hAPP(hAPP(_u2793, _u2795), _u2794)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u2796, _u2797, _u2798), _u2799), _u2800), _u2801) = hAPP(hAPP(_u2799, _u2801), hAPP(_u2800, _u2801))) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u2802), _u2803)) | ( _u2802 = _u2803) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__fequal__2-1, axiom, ( ( _u2804 != _u2805) | hBOOL(hAPP(hAPP(c_fequal, _u2804), _u2805)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u2806)) | ~hBOOL(_u2806) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u2807) | hBOOL(hAPP(c_fNot, _u2807)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u2809) | ~hBOOL(_u2808) | hBOOL(hAPP(hAPP(c_fconj, _u2808), _u2809)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u2810), _u2811)) | hBOOL(_u2810) )).
% 43.94/44.11
% 43.94/44.11 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 43.94/44.11 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u2813) | ~hBOOL(hAPP(hAPP(c_fconj, _u2812), _u2813)) )).
% 43.94/44.11
% 43.94/44.11 % Formula: conj_0 ( conjecture ) (definitionally) converted to clauses:
% 43.94/44.11 cnf(conj_0-1, negated_conjecture, ( ~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)) )).
% 43.94/44.11
% 43.94/44.11 % Problem matrix:
% 43.94/44.11 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 43.94/44.11 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 43.94/44.11 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 43.94/44.11 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 43.94/44.11 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)) )).
% 43.94/44.11 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)) )).
% 43.94/44.11 cnf(matrix-9, 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)) )).
% 43.94/44.11 cnf(matrix-10, 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)) )).
% 43.94/44.11 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_If(__eqx_0, __eqx_1) = c_If(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-12, 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)) )).
% 43.94/44.11 cnf(matrix-13, 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)) )).
% 43.94/44.11 cnf(matrix-14, 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)) )).
% 43.94/44.11 cnf(matrix-15, 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)) )).
% 43.94/44.11 cnf(matrix-16, 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)) )).
% 43.94/44.11 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_Oconverse(__eqx_0, __eqx_1, __eqx_2) = c_Relation_Oconverse(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-18, 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)) )).
% 43.94/44.11 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-20, 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)) )).
% 43.94/44.11 cnf(matrix-21, 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)) )).
% 43.94/44.11 cnf(matrix-22, 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)) )).
% 43.94/44.11 cnf(matrix-23, 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)) )).
% 43.94/44.11 cnf(matrix-24, 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)) )).
% 43.94/44.11 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_Oconversep(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_Oconversep(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-26, 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)) )).
% 43.94/44.11 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-28, 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)) )).
% 43.94/44.11 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-30, 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)) )).
% 43.94/44.11 cnf(matrix-31, 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)) )).
% 43.94/44.11 cnf(matrix-32, 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)) )).
% 43.94/44.11 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Oundefined(__eqx_0) = c_HOL_Oundefined(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Recdef_Ocut(__eqx_0, __eqx_1) = c_Recdef_Ocut(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-35, 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)) )).
% 43.94/44.11 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0, __eqx_1, __eqx_2) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 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)) )).
% 43.94/44.11 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Set_Othe__elem(__eqx_0, __eqx_1) = c_Set_Othe__elem(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-41, 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)) )).
% 43.94/44.11 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Groups_Ominus__class_Ominus(__eqx_0, __eqx_1, __eqx_2) = c_Groups_Ominus__class_Ominus(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 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)) )).
% 43.94/44.11 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_OImage(__eqx_0, __eqx_1, __eqx_2) = c_Relation_OImage(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Set_Oimage(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Set_Oimage(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hilbert__Choice_Oinv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hilbert__Choice_Oinv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Partial__Function_Oflat__lub(__eqx_0, __eqx_1, __eqx_2) = c_Partial__Function_Oflat__lub(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Othe__inv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Othe__inv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( skolem10(__eqx_0) = skolem10(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem13(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem13(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( skolem14(__eqx_0) = skolem14(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( skolem16(__eqx_0) = skolem16(__eqy_0)) )).
% 43.94/44.11 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem18(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem18(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem19(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem19(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem20(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem20(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem21(__eqx_0, __eqx_1) = skolem21(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem22(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem22(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem23(__eqx_0, __eqx_1, __eqx_2) = skolem23(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem24(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem24(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem25(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem25(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem26(__eqx_0, __eqx_1) = skolem26(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem27(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem27(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem28(__eqx_0, __eqx_1) = skolem28(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-78, 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)) )).
% 43.94/44.11 cnf(matrix-79, 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)) )).
% 43.94/44.11 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) | ( skolem31(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem31(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.94/44.11 cnf(matrix-81, 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)) )).
% 43.94/44.11 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem33(__eqx_0, __eqx_1, __eqx_2) = skolem33(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem34(__eqx_0, __eqx_1, __eqx_2) = skolem34(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem35(__eqx_0, __eqx_1, __eqx_2) = skolem35(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem36(__eqx_0, __eqx_1, __eqx_2) = skolem36(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem37(__eqx_0, __eqx_1, __eqx_2) = skolem37(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem38(__eqx_0, __eqx_1, __eqx_2) = skolem38(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 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) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem39(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem39(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 43.94/44.11 cnf(matrix-89, 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) | ( skolem40(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem40(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 43.94/44.11 cnf(matrix-90, 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) | ( skolem41(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem41(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 43.94/44.11 cnf(matrix-91, 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)) )).
% 43.94/44.11 cnf(matrix-92, 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)) )).
% 43.94/44.11 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) | ( __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)) )).
% 43.94/44.11 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) | ( __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)) )).
% 43.94/44.11 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) | ( 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)) )).
% 43.94/44.11 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) | ( skolem47(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem47(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.94/44.11 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) | ( skolem48(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem48(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.94/44.11 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem49(__eqx_0, __eqx_1, __eqx_2) = skolem49(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem50(__eqx_0, __eqx_1, __eqx_2) = skolem50(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-100, 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)) )).
% 43.94/44.11 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem52(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem52(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem53(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem53(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem54(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem54(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem55(__eqx_0, __eqx_1, __eqx_2) = skolem55(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-105, 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)) )).
% 43.94/44.11 cnf(matrix-106, 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)) )).
% 43.94/44.11 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem58(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem58(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-108, 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)) )).
% 43.94/44.11 cnf(matrix-109, 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) | ( skolem60(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem60(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.94/44.11 cnf(matrix-110, 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)) )).
% 43.94/44.11 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem62(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem62(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem63(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem63(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem64(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem64(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-114, 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)) )).
% 43.94/44.11 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem66(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem66(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem67(__eqx_0, __eqx_1) = skolem67(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-117, 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) | ( skolem68(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem68(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.94/44.11 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem69(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem69(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem70(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem70(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-120, 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)) )).
% 43.94/44.11 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem72(__eqx_0, __eqx_1) = skolem72(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem73(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem73(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-123, 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)) )).
% 43.94/44.11 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem75(__eqx_0, __eqx_1) = skolem75(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem76(__eqx_0, __eqx_1) = skolem76(__eqy_0, __eqy_1)) )).
% 43.94/44.11 cnf(matrix-126, 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)) )).
% 43.94/44.11 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem78(__eqx_0, __eqx_1, __eqx_2) = skolem78(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem79(__eqx_0, __eqx_1, __eqx_2) = skolem79(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.94/44.11 cnf(matrix-129, 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) | ( skolem80(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem80(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.94/44.11 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem81(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem81(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem82(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem82(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-132, 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) | ( skolem83(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem83(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.94/44.11 cnf(matrix-133, 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) | ( skolem84(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem84(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.94/44.11 cnf(matrix-134, 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)) )).
% 43.94/44.11 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem86(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem86(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-136, 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)) )).
% 43.94/44.11 cnf(matrix-137, 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)) )).
% 43.94/44.11 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem89(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem89(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem90(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem90(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem91(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem91(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem92(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem92(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.94/44.11 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem93(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem93(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.94/44.11 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ~c_Arrow__Order__Mirabelle_OIIA(__eqx_0) | c_Arrow__Order__Mirabelle_OIIA(__eqy_0) )).
% 43.94/44.11 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ~c_Arrow__Order__Mirabelle_Ounanimity(__eqx_0) | c_Arrow__Order__Mirabelle_Ounanimity(__eqy_0) )).
% 43.94/44.11 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 43.94/44.11 cnf(matrix-146, 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) )).
% 43.94/44.11 cnf(matrix-147, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 43.94/44.11 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_FunDef_Oin__rel(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_FunDef_Oin__rel(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 43.94/44.11 cnf(matrix-149, 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) )).
% 43.94/44.11 cnf(matrix-150, 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) )).
% 43.94/44.11 cnf(matrix-151, 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) )).
% 43.94/44.11 cnf(matrix-152, 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) )).
% 43.94/44.11 cnf(matrix-153, 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) )).
% 43.94/44.11 cnf(matrix-154, 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) )).
% 43.94/44.11 cnf(matrix-155, 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) )).
% 43.94/44.11 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 43.94/44.11 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 43.94/44.11 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 43.94/44.11 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 43.94/44.11 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 43.94/44.11 cnf(matrix-161, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 43.94/44.11 cnf(matrix-162, 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_Nitpick_Ofold__graph_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Nitpick_Ofold__graph_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 43.94/44.11 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Fun_Oinj__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Fun_Oinj__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 43.94/44.11 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Equiv__Relations_Oequiv(__eqx_0, __eqx_1, __eqx_2) | c_Equiv__Relations_Oequiv(__eqy_0, __eqy_1, __eqy_2) )).
% 43.94/44.11 cnf(matrix-165, 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) )).
% 43.94/44.11 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 43.94/44.11 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 43.94/44.11 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 43.94/44.11 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 43.94/44.11 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 43.94/44.11 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 43.94/44.11 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Equiv__Relations_Ocongruent(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Equiv__Relations_Ocongruent(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 43.94/44.11 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 43.94/44.11 cnf(matrix-174, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 43.94/44.11 cnf(matrix-175, plain, ( c_Arrow__Order__Mirabelle_OIIA(v_F) )).
% 43.94/44.11 cnf(matrix-176, plain, ( c_Arrow__Order__Mirabelle_Ounanimity(v_F) )).
% 43.94/44.11 cnf(matrix-177, 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)) )).
% 43.94/44.11 cnf(matrix-178, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u3), 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(_u3, _u4)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11 cnf(matrix-179, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u5), 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(_u5, _u6)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11 cnf(matrix-180, plain, ( ( _u7 != _u8) | hBOOL(hAPP(hAPP(c_member(_u9), _u10), _u7)) | ~hBOOL(hAPP(hAPP(c_member(_u9), _u10), _u8)) )).
% 43.94/44.11 cnf(matrix-181, plain, ( ( _u7 != _u8) | hBOOL(hAPP(hAPP(c_member(_u9), _u10), _u8)) | ~hBOOL(hAPP(hAPP(c_member(_u9), _u10), _u7)) )).
% 43.94/44.11 cnf(matrix-182, plain, ( ( _u11 = _u12) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u13), 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, _u13), _u11), _u12)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11 cnf(matrix-183, plain, ( ( _u14 = _u15) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u16), 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(_u16, _u14, _u15)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11 cnf(matrix-184, plain, ( ( v_a_H____ != v_b_H____) )).
% 43.94/44.11 cnf(matrix-185, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), skolem2), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11 cnf(matrix-186, plain, ( hBOOL(hAPP(_u25, _u23)) | ~hBOOL(hAPP(hAPP(c_member(_u21), _u23), _u25)) )).
% 43.94/44.11 cnf(matrix-187, plain, ( ~hBOOL(hAPP(_u26, _u24)) | hBOOL(hAPP(hAPP(c_member(_u22), _u24), _u26)) )).
% 43.94/44.11 cnf(matrix-188, 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)) )).
% 43.94/44.11 cnf(matrix-189, plain, ( ( v_b____ != v_a_H____) )).
% 43.94/44.11 cnf(matrix-190, plain, ( ( v_a____ != v_b_H____) )).
% 43.94/44.11 cnf(matrix-191, 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)) )).
% 43.94/44.11 cnf(matrix-192, plain, ( ( _u27 != _u28) | ~hBOOL(hAPP(hAPP(c_member(_u29), _u28), _u30)) | hBOOL(hAPP(hAPP(c_member(_u29), _u27), _u30)) )).
% 43.94/44.11 cnf(matrix-193, plain, ( ( _u31 != _u32) | ~hBOOL(hAPP(hAPP(c_member(_u33), _u31), _u34)) | hBOOL(hAPP(hAPP(c_member(_u33), _u32), _u34)) )).
% 43.94/44.11 cnf(matrix-194, plain, ( ( _u31 != _u32) | ~hBOOL(hAPP(hAPP(c_member(_u33), _u32), _u34)) | hBOOL(hAPP(hAPP(c_member(_u33), _u31), _u34)) )).
% 43.94/44.11 cnf(matrix-195, plain, ( ( _u35 != _u36) | ~hBOOL(hAPP(hAPP(c_member(_u37), _u38), _u35)) | hBOOL(hAPP(hAPP(c_member(_u37), _u38), _u36)) )).
% 43.94/44.11 cnf(matrix-196, plain, ( ( _u35 != _u36) | ~hBOOL(hAPP(hAPP(c_member(_u37), _u38), _u36)) | hBOOL(hAPP(hAPP(c_member(_u37), _u38), _u35)) )).
% 43.94/44.11 cnf(matrix-197, plain, ( ~c_Arrow__Order__Mirabelle_Odictator(_u43, _u45) | ~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))), _u39), c_Arrow__Order__Mirabelle_OProf)) | ( hAPP(_u43, _u39) = hAPP(_u39, _u45)) )).
% 43.94/44.11 cnf(matrix-198, plain, ( c_Arrow__Order__Mirabelle_Odictator(_u44, _u46) | 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))), skolem3(_u46, _u44)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 cnf(matrix-199, plain, ( c_Arrow__Order__Mirabelle_Odictator(_u44, _u46) | ( hAPP(_u44, skolem3(_u46, _u44)) != hAPP(skolem3(_u46, _u44), _u46)) )).
% 43.94/44.11 cnf(matrix-200, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 != _u51) )).
% 43.94/44.11 cnf(matrix-201, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u51 != _u47) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) )).
% 43.94/44.11 cnf(matrix-202, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u51 = _u47) | ( _u50 != _u47) | ( _u51 = _u48) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u48), _u51)), _u49)) )).
% 43.94/44.11 cnf(matrix-203, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u51 = _u47) | ( _u50 = _u47) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) )).
% 43.94/44.11 cnf(matrix-204, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ( _u51 = _u47) | ( _u50 = _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) )).
% 43.94/44.11 cnf(matrix-205, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ( _u51 = _u47) | ( _u50 != _u47) | ( _u51 != _u48) )).
% 43.94/44.11 cnf(matrix-206, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ( _u51 = _u47) | ( _u50 != _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u48), _u51)), _u49)) )).
% 43.94/44.11 cnf(matrix-207, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ( _u51 = _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) | ( _u51 != _u48) )).
% 43.94/44.11 cnf(matrix-208, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ( _u51 = _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u48), _u51)), _u49)) )).
% 43.94/44.11 cnf(matrix-209, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ( _u51 != _u47) )).
% 43.94/44.11 cnf(matrix-210, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ( _u50 = _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) )).
% 43.94/44.11 cnf(matrix-211, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ( _u50 != _u47) | ( _u51 != _u48) )).
% 43.94/44.11 cnf(matrix-212, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ( _u50 != _u47) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u48), _u51)), _u49)) )).
% 43.94/44.11 cnf(matrix-213, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) | ( _u51 != _u48) )).
% 43.94/44.11 cnf(matrix-214, plain, ( ( _u47 = _u48) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u49), 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), _u50), _u51)), c_Arrow__Order__Mirabelle_Obelow(_u49, _u47, _u48))) | ( _u50 = _u51) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u48)), _u49)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u50), _u51)), _u49)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u48), _u51)), _u49)) )).
% 43.94/44.11 cnf(matrix-215, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 != _u56) )).
% 43.94/44.11 cnf(matrix-216, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 != _u53) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) )).
% 43.94/44.11 cnf(matrix-217, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u53) | ( _u56 != _u53) | ( _u55 = _u52) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u52)), _u54)) )).
% 43.94/44.11 cnf(matrix-218, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u53) | ( _u56 = _u53) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) )).
% 43.94/44.11 cnf(matrix-219, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ( _u55 = _u53) | ( _u56 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) )).
% 43.94/44.11 cnf(matrix-220, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ( _u55 = _u53) | ( _u56 != _u53) | ( _u55 != _u52) )).
% 43.94/44.11 cnf(matrix-221, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ( _u55 = _u53) | ( _u56 != _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u52)), _u54)) )).
% 43.94/44.11 cnf(matrix-222, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ( _u55 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) | ( _u55 != _u52) )).
% 43.94/44.11 cnf(matrix-223, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ( _u55 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u52)), _u54)) )).
% 43.94/44.11 cnf(matrix-224, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ( _u55 != _u53) )).
% 43.94/44.11 cnf(matrix-225, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ( _u56 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) )).
% 43.94/44.11 cnf(matrix-226, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ( _u56 != _u53) | ( _u55 != _u52) )).
% 43.94/44.11 cnf(matrix-227, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ( _u56 != _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u52)), _u54)) )).
% 43.94/44.11 cnf(matrix-228, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) | ( _u55 != _u52) )).
% 43.94/44.11 cnf(matrix-229, plain, ( ( _u52 = _u53) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u54), 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), _u55), _u56)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _u54), _u52), _u53))) | ( _u55 = _u56) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u52), _u56)), _u54)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u56)), _u54)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u55), _u52)), _u54)) )).
% 43.94/44.11 cnf(matrix-230, plain, ( ( hAPP(v_Q____, _u57) = 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____, _u57)), c_Arrow__Order__Mirabelle_Obelow(hAPP(v_P____, _u57), 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____)))) )).
% 43.94/44.11 cnf(matrix-231, 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)))) )).
% 43.94/44.11 cnf(matrix-232, plain, ( ( _u63 = _u65) | ~hBOOL(hAPP(hAPP(c_member(_u61), _u63), hAPP(c_fequal, _u65))) )).
% 43.94/44.11 cnf(matrix-233, plain, ( ( _u64 != _u66) | hBOOL(hAPP(hAPP(c_member(_u62), _u64), hAPP(c_fequal, _u66))) )).
% 43.94/44.11 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)), c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _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)), _u68), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11 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)), _u69), 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_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _u69)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11 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)), _u70), 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), _u71), _u72)), _u70)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u72), _u71)), _u70)) )).
% 43.94/44.11 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)), _u73), c_Arrow__Order__Mirabelle_OLin)) | ( _u74 = _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), _u74), _u75)), _u73)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u75), _u74)), _u73)) )).
% 43.94/44.11 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)), _u73), c_Arrow__Order__Mirabelle_OLin)) | ( _u74 = _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), _u75), _u74)), _u73)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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), _u75)), _u73)) )).
% 43.94/44.11 cnf(matrix-239, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _u76), 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, _u76)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 cnf(matrix-240, 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____, _u78))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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____, _u78))) )).
% 43.94/44.11 cnf(matrix-241, 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____, _u79))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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____, _u79))) )).
% 43.94/44.11 cnf(matrix-242, plain, ( ( v_a____ != v_b____) )).
% 43.94/44.11 cnf(matrix-243, 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____))) )).
% 43.94/44.11 cnf(matrix-244, plain, ( ( _u88 = _u90) | ( hAPP(hAPP(c_COMBC(_u84, tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_fun(_u86, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u86, tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_fun(_u86, tc_HOL_Obool)), _u84, c_COMBC(_u86, tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u86, tc_prod(_u84, _u86)), tc_fun(_u86, tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), _u84, c_COMBB(tc_prod(_u84, _u86), tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool), _u86, c_member(tc_prod(_u84, _u86)))), c_Product__Type_OPair(_u84, _u86)))), _u88) != hAPP(hAPP(c_COMBC(_u84, tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_fun(_u86, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u86, tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_fun(_u86, tc_HOL_Obool)), _u84, c_COMBC(_u86, tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u86, tc_prod(_u84, _u86)), tc_fun(_u86, tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool)), _u84, c_COMBB(tc_prod(_u84, _u86), tc_fun(tc_fun(tc_prod(_u84, _u86), tc_HOL_Obool), tc_HOL_Obool), _u86, c_member(tc_prod(_u84, _u86)))), c_Product__Type_OPair(_u84, _u86)))), _u90)) )).
% 43.94/44.11 cnf(matrix-245, plain, ( ( _u89 != _u91) | ( hAPP(hAPP(c_COMBC(_u85, tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_fun(_u87, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u87, tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_fun(_u87, tc_HOL_Obool)), _u85, c_COMBC(_u87, tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u87, tc_prod(_u85, _u87)), tc_fun(_u87, tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), _u85, c_COMBB(tc_prod(_u85, _u87), tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool), _u87, c_member(tc_prod(_u85, _u87)))), c_Product__Type_OPair(_u85, _u87)))), _u89) = hAPP(hAPP(c_COMBC(_u85, tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_fun(_u87, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u87, tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_fun(_u87, tc_HOL_Obool)), _u85, c_COMBC(_u87, tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u87, tc_prod(_u85, _u87)), tc_fun(_u87, tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool)), _u85, c_COMBB(tc_prod(_u85, _u87), tc_fun(tc_fun(tc_prod(_u85, _u87), tc_HOL_Obool), tc_HOL_Obool), _u87, c_member(tc_prod(_u85, _u87)))), c_Product__Type_OPair(_u85, _u87)))), _u91)) )).
% 43.94/44.11 cnf(matrix-246, plain, ( ( _u97 = _u99) | ( hAPP(hAPP(c_COMBC(_u95, tc_fun(_u95, tc_HOL_Obool), tc_HOL_Obool), c_member(_u95)), _u97) != hAPP(hAPP(c_COMBC(_u95, tc_fun(_u95, tc_HOL_Obool), tc_HOL_Obool), c_member(_u95)), _u99)) )).
% 43.94/44.11 cnf(matrix-247, plain, ( ( _u98 != _u100) | ( hAPP(hAPP(c_COMBC(_u96, tc_fun(_u96, tc_HOL_Obool), tc_HOL_Obool), c_member(_u96)), _u98) = hAPP(hAPP(c_COMBC(_u96, tc_fun(_u96, tc_HOL_Obool), tc_HOL_Obool), c_member(_u96)), _u100)) )).
% 43.94/44.11 cnf(matrix-248, 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), _u105), _u107)), c_Arrow__Order__Mirabelle_Omktop(_u109, _u111))) | ( _u105 != _u111) )).
% 43.94/44.11 cnf(matrix-249, 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), _u105), _u107)), c_Arrow__Order__Mirabelle_Omktop(_u109, _u111))) | ( _u107 != _u111) | ( _u105 != _u107) )).
% 43.94/44.11 cnf(matrix-250, 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), _u105), _u107)), c_Arrow__Order__Mirabelle_Omktop(_u109, _u111))) | ( _u107 = _u111) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u105), _u107)), _u109)) )).
% 43.94/44.11 cnf(matrix-251, 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), _u106), _u108)), c_Arrow__Order__Mirabelle_Omktop(_u110, _u112))) | ( _u106 = _u112) | ( _u108 = _u112) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u106), _u108)), _u110)) )).
% 43.94/44.11 cnf(matrix-252, 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), _u106), _u108)), c_Arrow__Order__Mirabelle_Omktop(_u110, _u112))) | ( _u106 = _u112) | ( _u106 = _u108) | ( _u108 != _u112) )).
% 43.94/44.11 cnf(matrix-253, 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), _u106), _u108)), c_Arrow__Order__Mirabelle_Omktop(_u110, _u112))) | ( _u106 = _u112) | ( _u106 = _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), _u106), _u108)), _u110)) )).
% 43.94/44.11 cnf(matrix-254, 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), _u117), _u119)), c_Arrow__Order__Mirabelle_Omkbot(_u121, _u123))) | ( _u119 != _u123) )).
% 43.94/44.11 cnf(matrix-255, 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), _u117), _u119)), c_Arrow__Order__Mirabelle_Omkbot(_u121, _u123))) | ( _u117 != _u123) | ( _u117 != _u119) )).
% 43.94/44.11 cnf(matrix-256, 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), _u117), _u119)), c_Arrow__Order__Mirabelle_Omkbot(_u121, _u123))) | ( _u117 = _u123) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u117), _u119)), _u121)) )).
% 43.94/44.11 cnf(matrix-257, 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), _u118), _u120)), c_Arrow__Order__Mirabelle_Omkbot(_u122, _u124))) | ( _u120 = _u124) | ( _u118 = _u124) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u118), _u120)), _u122)) )).
% 43.94/44.11 cnf(matrix-258, 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), _u118), _u120)), c_Arrow__Order__Mirabelle_Omkbot(_u122, _u124))) | ( _u120 = _u124) | ( _u118 = _u120) | ( _u118 != _u124) )).
% 43.94/44.11 cnf(matrix-259, 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), _u118), _u120)), c_Arrow__Order__Mirabelle_Omkbot(_u122, _u124))) | ( _u120 = _u124) | ( _u118 = _u120) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u118), _u120)), _u122)) )).
% 43.94/44.11 cnf(matrix-260, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u125, _u126)), _u127), c_FuncSet_OPi(_u125, _u126, _u128, _u129))) | hBOOL(hAPP(hAPP(c_member(_u126), hAPP(_u127, _u130)), hAPP(_u129, _u130))) | ~hBOOL(hAPP(hAPP(c_member(_u125), _u130), _u128)) )).
% 43.94/44.11 cnf(matrix-261, 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))), _u134), 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(_u134, _u135) | 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))), skolem4(_u135, _u134)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 cnf(matrix-262, 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))), _u134), 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(_u134, _u135) | ( skolem5(_u135, _u134) != skolem6(_u135, _u134)) )).
% 43.94/44.11 cnf(matrix-263, 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))), _u134), 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(_u134, _u135) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem5(_u135, _u134)), skolem6(_u135, _u134))), hAPP(skolem4(_u135, _u134), _u135))) )).
% 43.94/44.11 cnf(matrix-264, 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))), _u134), 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(_u134, _u135) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem5(_u135, _u134)), skolem6(_u135, _u134))), hAPP(_u134, skolem4(_u135, _u134)))) )).
% 43.94/44.11 cnf(matrix-265, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u136, _u137)), _u138), c_FuncSet_OPi(_u136, _u137, _u139, c_COMBK(tc_fun(_u137, tc_HOL_Obool), _u136, _u140)))) | ~hBOOL(hAPP(hAPP(c_member(_u136), _u141), _u139)) | hBOOL(hAPP(hAPP(c_member(_u137), hAPP(_u138, _u141)), _u140)) )).
% 43.94/44.11 cnf(matrix-266, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u142, _u143)), _u144), c_FuncSet_OPi(_u142, _u143, _u145, _u146))) | ~hBOOL(hAPP(hAPP(c_member(_u142), _u147), _u145)) | hBOOL(hAPP(hAPP(c_member(_u143), hAPP(_u144, _u147)), hAPP(_u146, _u147))) )).
% 43.94/44.11 cnf(matrix-267, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u153, _u155)), hAPP(hAPP(c_Product__Type_OPair(_u153, _u155), _u157), _u159)), c_Relation_Oconverse(_u155, _u153, _u161))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u155, _u153)), hAPP(hAPP(c_Product__Type_OPair(_u155, _u153), _u159), _u157)), _u161)) )).
% 43.94/44.11 cnf(matrix-268, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u156, _u154)), hAPP(hAPP(c_Product__Type_OPair(_u156, _u154), _u160), _u158)), _u162)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u154, _u156)), hAPP(hAPP(c_Product__Type_OPair(_u154, _u156), _u158), _u160)), c_Relation_Oconverse(_u156, _u154, _u162))) )).
% 43.94/44.11 cnf(matrix-269, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u163, _u164)), hAPP(hAPP(c_Product__Type_OPair(_u163, _u164), _u165), _u166)), _u167)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u164, _u163)), hAPP(hAPP(c_Product__Type_OPair(_u164, _u163), _u166), _u165)), c_Relation_Oconverse(_u163, _u164, _u167))) )).
% 43.94/44.11 cnf(matrix-270, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u168, _u169)), hAPP(hAPP(c_Product__Type_OPair(_u168, _u169), _u170), _u171)), c_Relation_Oconverse(_u169, _u168, _u172))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u169, _u168)), hAPP(hAPP(c_Product__Type_OPair(_u169, _u168), _u171), _u170)), _u172)) )).
% 43.94/44.11 cnf(matrix-271, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u173, _u173)), c_COMBI(_u173)), c_FuncSet_OPi(_u173, _u173, _u174, c_COMBK(tc_fun(_u173, tc_HOL_Obool), _u173, _u174)))) )).
% 43.94/44.11 cnf(matrix-272, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem7(_u190, _u179, _u178, _u177, _u176)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(matrix-273, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem7(_u190, _u179, _u178, _u177, _u176)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(matrix-274, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u178))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem7(_u190, _u179, _u178, _u177, _u176)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(matrix-275, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u178))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem7(_u190, _u179, _u178, _u177, _u176)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(matrix-276, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem7(_u190, _u179, _u178, _u177, _u176)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(matrix-277, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u179))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem7(_u190, _u179, _u178, _u177, _u176)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(matrix-278, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u179))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem7(_u190, _u179, _u178, _u177, _u176)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(matrix-279, plain, ( ~c_Arrow__Order__Mirabelle_OIIA(_u190) | ~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))), _u179), 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))), _u178), 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), _u177), _u176)), hAPP(_u190, _u178))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u190, _u179))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u178, skolem7(_u190, _u179, _u178, _u177, _u176)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u177), _u176)), hAPP(_u179, skolem8(_u190, _u179, _u178, _u177, _u176)))) )).
% 43.94/44.11 cnf(matrix-280, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | 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))), skolem9(_u191)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 cnf(matrix-281, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | 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))), skolem10(_u191)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 cnf(matrix-282, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(skolem9(_u191), _u188))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(skolem10(_u191), _u188))) )).
% 43.94/44.11 cnf(matrix-283, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(skolem10(_u191), _u189))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(skolem9(_u191), _u189))) )).
% 43.94/44.11 cnf(matrix-284, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(_u191, skolem9(_u191)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(_u191, skolem10(_u191)))) )).
% 43.94/44.11 cnf(matrix-285, plain, ( c_Arrow__Order__Mirabelle_OIIA(_u191) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(_u191, skolem10(_u191)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), skolem11(_u191)), skolem12(_u191))), hAPP(_u191, skolem9(_u191)))) )).
% 43.94/44.11 cnf(matrix-286, plain, ( ~c_Arrow__Order__Mirabelle_Ounanimity(_u201) | ~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))), _u195), 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), _u194), _u193)), hAPP(_u195, skolem13(_u201, _u195, _u194, _u193)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u194), _u193)), hAPP(_u201, _u195))) )).
% 43.94/44.11 cnf(matrix-287, plain, ( c_Arrow__Order__Mirabelle_Ounanimity(_u202) | 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(_u202)), c_Arrow__Order__Mirabelle_OProf)) )).
% 43.94/44.11 cnf(matrix-288, plain, ( c_Arrow__Order__Mirabelle_Ounanimity(_u202) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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(_u202)), skolem16(_u202))), hAPP(skolem14(_u202), _u196))) )).
% 43.94/44.11 cnf(matrix-289, plain, ( c_Arrow__Order__Mirabelle_Ounanimity(_u202) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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(_u202)), skolem16(_u202))), hAPP(_u202, skolem14(_u202)))) )).
% 43.94/44.11 cnf(matrix-290, plain, ( ( c_Relation_Oconverse(_u203, _u204, c_Relation_Oconverse(_u204, _u203, _u205)) = _u205) )).
% 43.94/44.11 cnf(matrix-291, plain, ( ~c_Relation_Oirrefl(_u210, _u212) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u210, _u210)), hAPP(hAPP(c_Product__Type_OPair(_u210, _u210), _u206), _u206)), _u212)) )).
% 43.94/44.11 cnf(matrix-292, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u211, _u211)), hAPP(hAPP(c_Product__Type_OPair(_u211, _u211), skolem17(_u213, _u211)), skolem17(_u213, _u211))), _u213)) | c_Relation_Oirrefl(_u211, _u213) )).
% 43.94/44.11 cnf(matrix-293, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u215, _u217)), _u218), c_FuncSet_OPi(_u215, _u217, _u216, _u219))) | hBOOL(hAPP(hAPP(c_member(_u215), skolem18(_u219, _u218, _u217, _u216, _u215)), _u216)) )).
% 43.94/44.11 cnf(matrix-294, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u215, _u217)), _u218), c_FuncSet_OPi(_u215, _u217, _u216, _u219))) | ~hBOOL(hAPP(hAPP(c_member(_u217), hAPP(_u218, skolem18(_u219, _u218, _u217, _u216, _u215))), hAPP(_u219, skolem18(_u219, _u218, _u217, _u216, _u215)))) )).
% 43.94/44.11 cnf(matrix-295, plain, ( ~c_FunDef_Oin__rel(_u225, _u227, _u229, _u231, _u233) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u225, _u227)), hAPP(hAPP(c_Product__Type_OPair(_u225, _u227), _u231), _u233)), _u229)) )).
% 43.94/44.11 cnf(matrix-296, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u226, _u228)), hAPP(hAPP(c_Product__Type_OPair(_u226, _u228), _u232), _u234)), _u230)) | c_FunDef_Oin__rel(_u226, _u228, _u230, _u232, _u234) )).
% 43.94/44.11 cnf(matrix-297, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u237, _u238)), _u239), c_Relation_Oconverse(_u238, _u237, _u240))) | ( _u239 = hAPP(hAPP(c_Product__Type_OPair(_u237, _u238), skolem20(_u240, _u239, _u238, _u237)), skolem19(_u240, _u239, _u238, _u237))) )).
% 43.94/44.11 cnf(matrix-298, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u237, _u238)), _u239), c_Relation_Oconverse(_u238, _u237, _u240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u238, _u237)), hAPP(hAPP(c_Product__Type_OPair(_u238, _u237), skolem19(_u240, _u239, _u238, _u237)), skolem20(_u240, _u239, _u238, _u237))), _u240)) )).
% 43.94/44.11 cnf(matrix-299, plain, ( ~hBOOL(hAPP(_u241, _u242)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u243, _u243)), hAPP(hAPP(c_Product__Type_OPair(_u243, _u243), _u244), _u245)), hAPP(_u246, _u242))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u247, _u243), tc_prod(_u247, _u243))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u247, _u243), tc_prod(_u247, _u243)), hAPP(hAPP(c_Product__Type_OPair(_u247, _u243), _u242), _u244)), hAPP(hAPP(c_Product__Type_OPair(_u247, _u243), _u242), _u245))), c_Recdef_Osame__fst(_u247, _u243, _u241, _u246))) )).
% 43.94/44.11 cnf(matrix-300, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u248, _u249)), hAPP(hAPP(c_Product__Type_OPair(_u248, _u249), _u250), _u251)), _u252)) | hBOOL(hAPP(hAPP(c_member(_u249), _u251), c_Relation_ORange(_u248, _u249, _u252))) )).
% 43.94/44.11 cnf(matrix-301, plain, ( ( _u254 = _u255) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), skolem21(_u255, _u254)), c_Arrow__Order__Mirabelle_OLin)) )).
% 43.94/44.11 cnf(matrix-302, plain, ( ( _u254 = _u255) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _u254), _u255)), skolem21(_u255, _u254))) )).
% 43.94/44.11 cnf(matrix-303, plain, ( ( _u256 != _u257) | ~hBOOL(hAPP(hAPP(c_member(_u258), _u256), _u259)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u258, _u258)), hAPP(hAPP(c_Product__Type_OPair(_u258, _u258), _u256), _u257)), c_Relation_OId__on(_u258, _u259))) )).
% 43.94/44.11 cnf(matrix-304, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u264, _u264)), hAPP(hAPP(c_Product__Type_OPair(_u264, _u264), _u266), _u268)), c_Relation_OId__on(_u264, _u270))) | ( _u266 = _u268) )).
% 43.94/44.11 cnf(matrix-305, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u264, _u264)), hAPP(hAPP(c_Product__Type_OPair(_u264, _u264), _u266), _u268)), c_Relation_OId__on(_u264, _u270))) | hBOOL(hAPP(hAPP(c_member(_u264), _u266), _u270)) )).
% 43.94/44.11 cnf(matrix-306, plain, ( ( _u267 != _u269) | ~hBOOL(hAPP(hAPP(c_member(_u265), _u267), _u271)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u265, _u265)), hAPP(hAPP(c_Product__Type_OPair(_u265, _u265), _u267), _u269)), c_Relation_OId__on(_u265, _u271))) )).
% 43.94/44.11 cnf(matrix-307, plain, ( ( c_Relation_ORange(_u272, _u272, c_Relation_OId__on(_u272, _u273)) = _u273) )).
% 43.94/44.11 cnf(matrix-308, plain, ( ( c_Relation_Oconverse(_u274, _u274, c_Relation_OId__on(_u274, _u275)) = c_Relation_OId__on(_u274, _u275)) )).
% 43.94/44.11 cnf(matrix-309, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u282), _u284), c_Relation_ORange(_u286, _u282, _u288))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u286, _u282)), hAPP(hAPP(c_Product__Type_OPair(_u286, _u282), skolem22(_u288, _u286, _u284, _u282)), _u284)), _u288)) )).
% 43.94/44.11 cnf(matrix-310, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u287, _u283)), hAPP(hAPP(c_Product__Type_OPair(_u287, _u283), _u277), _u285)), _u289)) | hBOOL(hAPP(hAPP(c_member(_u283), _u285), c_Relation_ORange(_u287, _u283, _u289))) )).
% 43.94/44.11 cnf(matrix-311, plain, ( ~c_Predicate_ORangeP(_u294, _u296, hAPP(hAPP(c_COMBC(_u294, tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_fun(_u296, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u296, tc_fun(tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_fun(_u296, tc_HOL_Obool)), _u294, c_COMBC(_u296, tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u296, tc_prod(_u294, _u296)), tc_fun(_u296, tc_fun(tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_HOL_Obool)), _u294, c_COMBB(tc_prod(_u294, _u296), tc_fun(tc_fun(tc_prod(_u294, _u296), tc_HOL_Obool), tc_HOL_Obool), _u296, c_member(tc_prod(_u294, _u296)))), c_Product__Type_OPair(_u294, _u296)))), _u298), _u300) | hBOOL(hAPP(hAPP(c_member(_u296), _u300), c_Relation_ORange(_u294, _u296, _u298))) )).
% 43.94/44.11 cnf(matrix-312, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u297), _u301), c_Relation_ORange(_u295, _u297, _u299))) | c_Predicate_ORangeP(_u295, _u297, hAPP(hAPP(c_COMBC(_u295, tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_fun(_u297, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u297, tc_fun(tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_fun(_u297, tc_HOL_Obool)), _u295, c_COMBC(_u297, tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u297, tc_prod(_u295, _u297)), tc_fun(_u297, tc_fun(tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_HOL_Obool)), _u295, c_COMBB(tc_prod(_u295, _u297), tc_fun(tc_fun(tc_prod(_u295, _u297), tc_HOL_Obool), tc_HOL_Obool), _u297, c_member(tc_prod(_u295, _u297)))), c_Product__Type_OPair(_u295, _u297)))), _u299), _u301) )).
% 43.94/44.11 cnf(matrix-313, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u310, _u312), tc_prod(_u310, _u312))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u310, _u312), tc_prod(_u310, _u312)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u312), _u314), _u316)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u312), _u318), _u320))), c_Wellfounded_Olex__prod(_u310, _u312, _u322, _u324))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u310, _u310)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u310), _u314), _u318)), _u322)) | ( _u314 = _u318) )).
% 43.94/44.11 cnf(matrix-314, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u310, _u312), tc_prod(_u310, _u312))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u310, _u312), tc_prod(_u310, _u312)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u312), _u314), _u316)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u312), _u318), _u320))), c_Wellfounded_Olex__prod(_u310, _u312, _u322, _u324))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u310, _u310)), hAPP(hAPP(c_Product__Type_OPair(_u310, _u310), _u314), _u318)), _u322)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u312, _u312)), hAPP(hAPP(c_Product__Type_OPair(_u312, _u312), _u316), _u320)), _u324)) )).
% 43.94/44.11 cnf(matrix-315, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u311, _u313), tc_prod(_u311, _u313))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u311, _u313), tc_prod(_u311, _u313)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u313), _u315), _u317)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u313), _u319), _u321))), c_Wellfounded_Olex__prod(_u311, _u313, _u323, _u325))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u311, _u311)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u311), _u315), _u319)), _u323)) )).
% 43.94/44.11 cnf(matrix-316, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u311, _u313), tc_prod(_u311, _u313))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u311, _u313), tc_prod(_u311, _u313)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u313), _u315), _u317)), hAPP(hAPP(c_Product__Type_OPair(_u311, _u313), _u319), _u321))), c_Wellfounded_Olex__prod(_u311, _u313, _u323, _u325))) | ( _u315 != _u319) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u313, _u313)), hAPP(hAPP(c_Product__Type_OPair(_u313, _u313), _u317), _u321)), _u325)) )).
% 43.94/44.11 cnf(matrix-317, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u327, _u327)), _u328), c_Relation_OId__on(_u327, _u329))) | hBOOL(hAPP(hAPP(c_member(_u327), skolem23(_u329, _u328, _u327)), _u329)) )).
% 43.94/44.11 cnf(matrix-318, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u327, _u327)), _u328), c_Relation_OId__on(_u327, _u329))) | ( _u328 = hAPP(hAPP(c_Product__Type_OPair(_u327, _u327), skolem23(_u329, _u328, _u327)), skolem23(_u329, _u328, _u327))) )).
% 43.94/44.11 cnf(matrix-319, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u331), _u332), c_Relation_ORange(_u333, _u331, _u334))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u333, _u331)), hAPP(hAPP(c_Product__Type_OPair(_u333, _u331), skolem24(_u334, _u333, _u332, _u331)), _u332)), _u334)) )).
% 43.94/44.11 cnf(matrix-320, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u336, _u338)), _u339), c_FuncSet_OPi(_u336, _u338, _u337, c_COMBK(tc_fun(_u338, tc_HOL_Obool), _u336, _u340)))) | hBOOL(hAPP(hAPP(c_member(_u336), skolem25(_u340, _u339, _u338, _u337, _u336)), _u337)) )).
% 43.94/44.11 cnf(matrix-321, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u336, _u338)), _u339), c_FuncSet_OPi(_u336, _u338, _u337, c_COMBK(tc_fun(_u338, tc_HOL_Obool), _u336, _u340)))) | ~hBOOL(hAPP(hAPP(c_member(_u338), hAPP(_u339, skolem25(_u340, _u339, _u338, _u337, _u336))), _u340)) )).
% 43.94/44.11 cnf(matrix-322, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u341, _u342)), hAPP(hAPP(c_Product__Type_OPair(_u341, _u342), _u343), _u344)), _u345)) | hBOOL(hAPP(hAPP(c_member(_u341), _u343), c_Relation_ODomain(_u341, _u342, _u345))) )).
% 43.94/44.11 cnf(matrix-323, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u351, _u353, hAPP(hAPP(c_COMBC(_u351, tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_fun(_u353, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u353, tc_fun(tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_fun(_u353, tc_HOL_Obool)), _u351, c_COMBC(_u353, tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u353, tc_prod(_u351, _u353)), tc_fun(_u353, tc_fun(tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_HOL_Obool)), _u351, c_COMBB(tc_prod(_u351, _u353), tc_fun(tc_fun(tc_prod(_u351, _u353), tc_HOL_Obool), tc_HOL_Obool), _u353, c_member(tc_prod(_u351, _u353)))), c_Product__Type_OPair(_u351, _u353)))), _u355)), _u357), _u359)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u353, _u351)), hAPP(hAPP(c_Product__Type_OPair(_u353, _u351), _u357), _u359)), c_Relation_Oconverse(_u351, _u353, _u355))) )).
% 43.94/44.11 cnf(matrix-324, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u354, _u352)), hAPP(hAPP(c_Product__Type_OPair(_u354, _u352), _u358), _u360)), c_Relation_Oconverse(_u352, _u354, _u356))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u352, _u354, hAPP(hAPP(c_COMBC(_u352, tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_fun(_u354, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u354, tc_fun(tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_fun(_u354, tc_HOL_Obool)), _u352, c_COMBC(_u354, tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u354, tc_prod(_u352, _u354)), tc_fun(_u354, tc_fun(tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_HOL_Obool)), _u352, c_COMBB(tc_prod(_u352, _u354), tc_fun(tc_fun(tc_prod(_u352, _u354), tc_HOL_Obool), tc_HOL_Obool), _u354, c_member(tc_prod(_u352, _u354)))), c_Product__Type_OPair(_u352, _u354)))), _u356)), _u358), _u360)) )).
% 43.94/44.11 cnf(matrix-325, plain, ( ~c_Nitpick_Orefl_H(_u365, _u367) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u365, _u365)), hAPP(hAPP(c_Product__Type_OPair(_u365, _u365), _u361), _u361)), _u367)) )).
% 43.94/44.11 cnf(matrix-326, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u366, _u366)), hAPP(hAPP(c_Product__Type_OPair(_u366, _u366), skolem26(_u368, _u366)), skolem26(_u368, _u366))), _u368)) | c_Nitpick_Orefl_H(_u366, _u368) )).
% 43.94/44.11 cnf(matrix-327, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u370, _u372)), _u373), c_FuncSet_OPi(_u370, _u372, _u371, _u374))) | hBOOL(hAPP(hAPP(c_member(_u370), skolem27(_u374, _u373, _u372, _u371, _u370)), _u371)) )).
% 43.94/44.11 cnf(matrix-328, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u370, _u372)), _u373), c_FuncSet_OPi(_u370, _u372, _u371, _u374))) | ~hBOOL(hAPP(hAPP(c_member(_u372), hAPP(_u373, skolem27(_u374, _u373, _u372, _u371, _u370))), hAPP(_u374, skolem27(_u374, _u373, _u372, _u371, _u370)))) )).
% 43.94/44.11 cnf(matrix-329, plain, ( ~hBOOL(hAPP(hAPP(_u375, _u376), _u377)) | c_Predicate_ORangeP(_u378, _u379, _u375, _u377) )).
% 43.94/44.11 cnf(matrix-330, plain, ( hBOOL(hAPP(hAPP(_u390, skolem28(_u392, _u390)), _u392)) | ~c_Predicate_ORangeP(_u386, _u388, _u390, _u392) )).
% 43.94/44.11 cnf(matrix-331, plain, ( ~hBOOL(hAPP(hAPP(_u391, _u381), _u393)) | c_Predicate_ORangeP(_u387, _u389, _u391, _u393) )).
% 43.94/44.11 cnf(matrix-332, plain, ( hBOOL(hAPP(hAPP(_u396, _u398), _u397)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u394, _u395, _u396), _u397), _u398)) )).
% 43.94/44.11 cnf(matrix-333, plain, ( ~hBOOL(hAPP(hAPP(_u399, _u400), _u401)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u402, _u403, _u399), _u401), _u400)) )).
% 43.94/44.11 cnf(matrix-334, plain, ( hBOOL(hAPP(hAPP(_u413, _u417), _u415)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u409, _u411, _u413), _u415), _u417)) )).
% 43.94/44.11 cnf(matrix-335, plain, ( ~hBOOL(hAPP(hAPP(_u414, _u418), _u416)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u410, _u412, _u414), _u416), _u418)) )).
% 43.94/44.11 cnf(matrix-336, plain, ( hBOOL(hAPP(hAPP(_u428, _u432), _u430)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u424, _u426, _u428), _u430), _u432)) )).
% 43.94/44.11 cnf(matrix-337, plain, ( ~hBOOL(hAPP(hAPP(_u429, _u433), _u431)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u425, _u427, _u429), _u431), _u433)) )).
% 43.94/44.11 cnf(matrix-338, plain, ( ( c_Predicate_Oconversep(_u434, _u435, c_Predicate_Oconversep(_u435, _u434, _u436)) = _u436) )).
% 43.94/44.11 cnf(matrix-339, plain, ( ( c_Predicate_Oconversep(_u437, _u437, c_fequal) = c_fequal) )).
% 43.94/44.11 cnf(matrix-340, plain, ( ( _u443 != _u445) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u441, _u441, hAPP(c_COMBB(tc_fun(_u441, tc_HOL_Obool), tc_fun(_u441, tc_HOL_Obool), _u441, c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u441, c_fNot)), c_fequal)), _u443), _u445)) )).
% 43.94/44.11 cnf(matrix-341, plain, ( ( _u444 = _u446) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u442, _u442, hAPP(c_COMBB(tc_fun(_u442, tc_HOL_Obool), tc_fun(_u442, tc_HOL_Obool), _u442, c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u442, c_fNot)), c_fequal)), _u444), _u446)) )).
% 43.94/44.11 cnf(matrix-342, plain, ( ( c_Relation_ODomain(_u447, _u447, c_Relation_OId__on(_u447, _u448)) = _u448) )).
% 43.94/44.11 cnf(matrix-343, plain, ( ( c_Relation_ORange(_u449, _u450, _u451) = c_Relation_ODomain(_u450, _u449, c_Relation_Oconverse(_u449, _u450, _u451))) )).
% 43.94/44.11 cnf(matrix-344, plain, ( ( c_Relation_ODomain(_u452, _u453, c_Relation_Oconverse(_u453, _u452, _u454)) = c_Relation_ORange(_u453, _u452, _u454)) )).
% 43.94/44.11 cnf(matrix-345, plain, ( ( c_Relation_ORange(_u455, _u456, c_Relation_Oconverse(_u456, _u455, _u457)) = c_Relation_ODomain(_u456, _u455, _u457)) )).
% 43.94/44.11 cnf(matrix-346, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u464), _u466), c_Relation_ODomain(_u464, _u468, _u470))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u464, _u468)), hAPP(hAPP(c_Product__Type_OPair(_u464, _u468), _u466), skolem29(_u470, _u468, _u466, _u464))), _u470)) )).
% 43.94/44.11 cnf(matrix-347, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u465, _u469)), hAPP(hAPP(c_Product__Type_OPair(_u465, _u469), _u467), _u459)), _u471)) | hBOOL(hAPP(hAPP(c_member(_u465), _u467), c_Relation_ODomain(_u465, _u469, _u471))) )).
% 43.94/44.11 cnf(matrix-348, plain, ( ~c_Predicate_ODomainP(_u476, _u478, hAPP(hAPP(c_COMBC(_u476, tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_fun(_u478, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u478, tc_fun(tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_fun(_u478, tc_HOL_Obool)), _u476, c_COMBC(_u478, tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u478, tc_prod(_u476, _u478)), tc_fun(_u478, tc_fun(tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_HOL_Obool)), _u476, c_COMBB(tc_prod(_u476, _u478), tc_fun(tc_fun(tc_prod(_u476, _u478), tc_HOL_Obool), tc_HOL_Obool), _u478, c_member(tc_prod(_u476, _u478)))), c_Product__Type_OPair(_u476, _u478)))), _u480), _u482) | hBOOL(hAPP(hAPP(c_member(_u476), _u482), c_Relation_ODomain(_u476, _u478, _u480))) )).
% 43.94/44.11 cnf(matrix-349, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u477), _u483), c_Relation_ODomain(_u477, _u479, _u481))) | c_Predicate_ODomainP(_u477, _u479, hAPP(hAPP(c_COMBC(_u477, tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_fun(_u479, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u479, tc_fun(tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_fun(_u479, tc_HOL_Obool)), _u477, c_COMBC(_u479, tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u479, tc_prod(_u477, _u479)), tc_fun(_u479, tc_fun(tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_HOL_Obool)), _u477, c_COMBB(tc_prod(_u477, _u479), tc_fun(tc_fun(tc_prod(_u477, _u479), tc_HOL_Obool), tc_HOL_Obool), _u479, c_member(tc_prod(_u477, _u479)))), c_Product__Type_OPair(_u477, _u479)))), _u481), _u483) )).
% 43.94/44.11 cnf(matrix-350, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u485), _u486), c_Relation_ODomain(_u485, _u487, _u488))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u485, _u487)), hAPP(hAPP(c_Product__Type_OPair(_u485, _u487), _u486), skolem30(_u488, _u487, _u486, _u485))), _u488)) )).
% 43.94/44.11 cnf(matrix-351, plain, ( hBOOL(hAPP(hAPP(c_member(_u490), skolem31(_u495, _u494, _u493, _u492, _u491, _u490)), _u491)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u492), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u493), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) )).
% 43.94/44.11 cnf(matrix-352, plain, ( hBOOL(hAPP(hAPP(c_member(_u490), skolem31(_u495, _u494, _u493, _u492, _u491, _u490)), _u491)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u493), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u492), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) )).
% 43.94/44.11 cnf(matrix-353, plain, ( ( hAPP(_u492, skolem31(_u495, _u494, _u493, _u492, _u491, _u490)) != hAPP(_u493, skolem31(_u495, _u494, _u493, _u492, _u491, _u490))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u492), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u493), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) )).
% 43.94/44.11 cnf(matrix-354, plain, ( ( hAPP(_u492, skolem31(_u495, _u494, _u493, _u492, _u491, _u490)) != hAPP(_u493, skolem31(_u495, _u494, _u493, _u492, _u491, _u490))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u493), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u490, _u494)), _u492), c_FuncSet_OPi(_u490, _u494, _u491, _u495))) )).
% 43.94/44.11 cnf(matrix-355, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u496, _u497)), _u498), c_FuncSet_OPi(_u496, _u497, _u499, c_COMBK(tc_fun(_u497, tc_HOL_Obool), _u496, _u500)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u497, _u501)), _u502), c_FuncSet_OPi(_u497, _u501, _u500, c_COMBK(tc_fun(_u501, tc_HOL_Obool), _u497, _u503)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u501, _u504)), _u505), c_FuncSet_OPi(_u501, _u504, _u503, c_COMBK(tc_fun(_u504, tc_HOL_Obool), _u501, _u506)))) | ( c_FuncSet_Ocompose(_u496, _u501, _u504, _u499, _u505, c_FuncSet_Ocompose(_u496, _u497, _u501, _u499, _u502, _u498)) = c_FuncSet_Ocompose(_u496, _u497, _u504, _u499, c_FuncSet_Ocompose(_u497, _u501, _u504, _u500, _u505, _u502), _u498)) )).
% 43.94/44.11 cnf(matrix-356, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u507, _u508)), _u509), c_FuncSet_OPi(_u507, _u508, _u510, c_COMBK(tc_fun(_u508, tc_HOL_Obool), _u507, _u511)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u508, _u512)), _u513), c_FuncSet_OPi(_u508, _u512, _u511, c_COMBK(tc_fun(_u512, tc_HOL_Obool), _u508, _u514)))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u507, _u512)), c_FuncSet_Ocompose(_u507, _u508, _u512, _u510, _u513, _u509)), c_FuncSet_OPi(_u507, _u512, _u510, c_COMBK(tc_fun(_u512, tc_HOL_Obool), _u507, _u514)))) )).
% 43.94/44.11 cnf(matrix-357, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u515), _u516), c_Wellfounded_Oacc(_u515, _u517))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u515, _u515)), hAPP(hAPP(c_Product__Type_OPair(_u515, _u515), _u518), _u516)), _u517)) | hBOOL(hAPP(hAPP(c_member(_u515), _u518), c_Wellfounded_Oacc(_u515, _u517))) )).
% 43.94/44.11 cnf(matrix-358, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u524), _u526), c_Wellfounded_Oacc(_u524, _u528))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u524, _u524)), hAPP(hAPP(c_Product__Type_OPair(_u524, _u524), _u519), _u526)), _u528)) | hBOOL(hAPP(hAPP(c_member(_u524), _u519), c_Wellfounded_Oacc(_u524, _u528))) )).
% 43.94/44.11 cnf(matrix-359, plain, ( hBOOL(hAPP(hAPP(c_member(_u525), _u527), c_Wellfounded_Oacc(_u525, _u529))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u525, _u525)), hAPP(hAPP(c_Product__Type_OPair(_u525, _u525), skolem32(_u529, _u527, _u525)), _u527)), _u529)) )).
% 43.94/44.11 cnf(matrix-360, plain, ( hBOOL(hAPP(hAPP(c_member(_u525), _u527), c_Wellfounded_Oacc(_u525, _u529))) | ~hBOOL(hAPP(hAPP(c_member(_u525), skolem32(_u529, _u527, _u525)), c_Wellfounded_Oacc(_u525, _u529))) )).
% 43.94/44.11 cnf(matrix-361, plain, ( ~c_Relation_Ototal__on(_u537, _u539, _u541) | ~hBOOL(hAPP(hAPP(c_member(_u537), _u531), _u539)) | ~hBOOL(hAPP(hAPP(c_member(_u537), _u530), _u539)) | ( _u531 = _u530) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u537, _u537)), hAPP(hAPP(c_Product__Type_OPair(_u537, _u537), _u531), _u530)), _u541)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u537, _u537)), hAPP(hAPP(c_Product__Type_OPair(_u537, _u537), _u530), _u531)), _u541)) )).
% 43.94/44.11 cnf(matrix-362, plain, ( c_Relation_Ototal__on(_u538, _u540, _u542) | hBOOL(hAPP(hAPP(c_member(_u538), skolem33(_u542, _u540, _u538)), _u540)) )).
% 43.94/44.11 cnf(matrix-363, plain, ( c_Relation_Ototal__on(_u538, _u540, _u542) | hBOOL(hAPP(hAPP(c_member(_u538), skolem34(_u542, _u540, _u538)), _u540)) )).
% 43.94/44.11 cnf(matrix-364, plain, ( c_Relation_Ototal__on(_u538, _u540, _u542) | ( skolem33(_u542, _u540, _u538) != skolem34(_u542, _u540, _u538)) )).
% 43.94/44.11 cnf(matrix-365, plain, ( c_Relation_Ototal__on(_u538, _u540, _u542) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u538, _u538)), hAPP(hAPP(c_Product__Type_OPair(_u538, _u538), skolem33(_u542, _u540, _u538)), skolem34(_u542, _u540, _u538))), _u542)) )).
% 43.94/44.11 cnf(matrix-366, plain, ( c_Relation_Ototal__on(_u538, _u540, _u542) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u538, _u538)), hAPP(hAPP(c_Product__Type_OPair(_u538, _u538), skolem34(_u542, _u540, _u538)), skolem33(_u542, _u540, _u538))), _u542)) )).
% 43.94/44.11 cnf(matrix-367, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u555, _u555)), hAPP(hAPP(c_Product__Type_OPair(_u555, _u555), hAPP(_u559, _u551)), hAPP(_u559, _u553))), _u557)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u549, _u549)), hAPP(hAPP(c_Product__Type_OPair(_u549, _u549), _u551), _u553)), c_Relation_Oinv__image(_u555, _u549, _u557, _u559))) )).
% 43.94/44.11 cnf(matrix-368, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u556, _u556)), hAPP(hAPP(c_Product__Type_OPair(_u556, _u556), hAPP(_u560, _u552)), hAPP(_u560, _u554))), _u558)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u550, _u550)), hAPP(hAPP(c_Product__Type_OPair(_u550, _u550), _u552), _u554)), c_Relation_Oinv__image(_u556, _u550, _u558, _u560))) )).
% 43.94/44.11 cnf(matrix-369, plain, ( ~hBOOL(hAPP(hAPP(_u561, _u562), _u563)) | c_Predicate_ODomainP(_u564, _u565, _u561, _u562) )).
% 43.94/44.11 cnf(matrix-370, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u566), _u567), _u568)) | ( hAPP(c_FuncSet_Ocompose(_u566, _u569, _u570, _u568, _u571, _u572), _u567) = hAPP(_u571, hAPP(_u572, _u567))) )).
% 43.94/44.11 cnf(matrix-371, plain, ( ( c_Relation_Oconverse(_u573, _u573, c_Relation_Oinv__image(_u574, _u573, _u575, _u576)) = c_Relation_Oinv__image(_u574, _u573, c_Relation_Oconverse(_u574, _u574, _u575), _u576)) )).
% 43.94/44.11 cnf(matrix-372, plain, ( ~c_Relation_Ototal__on(_u580, _u582, c_Relation_Oconverse(_u580, _u580, _u584)) | c_Relation_Ototal__on(_u580, _u582, _u584) )).
% 43.94/44.11 cnf(matrix-373, plain, ( ~c_Relation_Ototal__on(_u581, _u583, _u585) | c_Relation_Ototal__on(_u581, _u583, c_Relation_Oconverse(_u581, _u581, _u585)) )).
% 43.94/44.11 cnf(matrix-374, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u589, hAPP(hAPP(c_COMBC(_u589, tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_fun(_u589, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u589, tc_fun(tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_fun(_u589, tc_HOL_Obool)), _u589, c_COMBC(_u589, tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u589, tc_prod(_u589, _u589)), tc_fun(_u589, tc_fun(tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_HOL_Obool)), _u589, c_COMBB(tc_prod(_u589, _u589), tc_fun(tc_fun(tc_prod(_u589, _u589), tc_HOL_Obool), tc_HOL_Obool), _u589, c_member(tc_prod(_u589, _u589)))), c_Product__Type_OPair(_u589, _u589)))), _u591)), _u593)) | hBOOL(hAPP(hAPP(c_member(_u589), _u593), c_Wellfounded_Oacc(_u589, _u591))) )).
% 43.94/44.11 cnf(matrix-375, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u590), _u594), c_Wellfounded_Oacc(_u590, _u592))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u590, hAPP(hAPP(c_COMBC(_u590, tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_fun(_u590, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u590, tc_fun(tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_fun(_u590, tc_HOL_Obool)), _u590, c_COMBC(_u590, tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u590, tc_prod(_u590, _u590)), tc_fun(_u590, tc_fun(tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_HOL_Obool)), _u590, c_COMBB(tc_prod(_u590, _u590), tc_fun(tc_fun(tc_prod(_u590, _u590), tc_HOL_Obool), tc_HOL_Obool), _u590, c_member(tc_prod(_u590, _u590)))), c_Product__Type_OPair(_u590, _u590)))), _u592)), _u594)) )).
% 43.94/44.11 cnf(matrix-376, plain, ( hBOOL(hAPP(hAPP(c_member(_u596), _u597), c_Wellfounded_Oacc(_u596, _u598))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u596, _u596)), hAPP(hAPP(c_Product__Type_OPair(_u596, _u596), skolem35(_u598, _u597, _u596)), _u597)), _u598)) )).
% 43.94/44.11 cnf(matrix-377, plain, ( hBOOL(hAPP(hAPP(c_member(_u596), _u597), c_Wellfounded_Oacc(_u596, _u598))) | ~hBOOL(hAPP(hAPP(c_member(_u596), skolem35(_u598, _u597, _u596)), c_Wellfounded_Oacc(_u596, _u598))) )).
% 43.94/44.11 cnf(matrix-378, plain, ( hBOOL(hAPP(hAPP(c_member(_u600), _u601), c_Wellfounded_Oacc(_u600, _u602))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u600, _u600)), hAPP(hAPP(c_Product__Type_OPair(_u600, _u600), skolem36(_u602, _u601, _u600)), _u601)), _u602)) )).
% 43.94/44.11 cnf(matrix-379, plain, ( hBOOL(hAPP(hAPP(c_member(_u600), _u601), c_Wellfounded_Oacc(_u600, _u602))) | ~hBOOL(hAPP(hAPP(c_member(_u600), skolem36(_u602, _u601, _u600)), c_Wellfounded_Oacc(_u600, _u602))) )).
% 43.94/44.11 cnf(matrix-380, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u603, _u604)), c_FuncSet_Ocompose(_u603, _u605, _u604, _u606, _u607, _u608)), c_FuncSet_Oextensional(_u603, _u604, _u606))) )).
% 43.94/44.11 cnf(matrix-381, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u609), _u610), c_Wellfounded_Oacc(_u609, _u611))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u609, _u609)), hAPP(hAPP(c_Product__Type_OPair(_u609, _u609), _u612), _u610)), c_Transitive__Closure_Ortrancl(_u609, _u611))) | hBOOL(hAPP(hAPP(c_member(_u609), _u612), c_Wellfounded_Oacc(_u609, _u611))) )).
% 43.94/44.11 cnf(matrix-382, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u613, _u613)), hAPP(hAPP(c_Product__Type_OPair(_u613, _u613), _u614), _u615)), c_Transitive__Closure_Ortrancl(_u613, _u616))) | ~hBOOL(hAPP(hAPP(c_member(_u613), _u615), c_Wellfounded_Oacc(_u613, _u616))) | hBOOL(hAPP(hAPP(c_member(_u613), _u614), c_Wellfounded_Oacc(_u613, _u616))) )).
% 43.94/44.11 cnf(matrix-383, plain, ( ~c_Relation_Orefl__on(_u617, _u618, _u619) | ~hBOOL(hAPP(hAPP(c_member(_u617), _u620), _u618)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u617, _u617)), hAPP(hAPP(c_Product__Type_OPair(_u617, _u617), _u620), _u620)), _u619)) )).
% 43.94/44.11 cnf(matrix-384, plain, ( ~c_Relation_Orefl__on(_u621, _u622, _u623) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u621, _u621)), hAPP(hAPP(c_Product__Type_OPair(_u621, _u621), _u624), _u625)), _u623)) | hBOOL(hAPP(hAPP(c_member(_u621), _u624), _u622)) )).
% 43.94/44.11 cnf(matrix-385, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u626, _u627), _u628)) | ~hBOOL(hAPP(hAPP(_u627, _u629), _u628)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u626, _u627), _u629)) )).
% 43.94/44.11 cnf(matrix-386, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u635, _u637), _u639)) | ~hBOOL(hAPP(hAPP(_u637, _u630), _u639)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u635, _u637), _u630)) )).
% 43.94/44.11 cnf(matrix-387, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u636, _u638), _u640)) | hBOOL(hAPP(hAPP(_u638, skolem37(_u640, _u638, _u636)), _u640)) )).
% 43.94/44.11 cnf(matrix-388, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u636, _u638), _u640)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u636, _u638), skolem37(_u640, _u638, _u636))) )).
% 43.94/44.11 cnf(matrix-389, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u646, _u648), _u650)) | ~hBOOL(hAPP(hAPP(_u648, _u641), _u650)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u646, _u648), _u641)) )).
% 43.94/44.11 cnf(matrix-390, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u647, _u649), _u651)) | hBOOL(hAPP(hAPP(_u649, skolem38(_u651, _u649, _u647)), _u651)) )).
% 43.94/44.11 cnf(matrix-391, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u647, _u649), _u651)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u647, _u649), skolem38(_u651, _u649, _u647))) )).
% 43.94/44.11 cnf(matrix-392, plain, ( ~c_Relation_Orefl__on(_u655, _u657, c_Relation_Oconverse(_u655, _u655, _u659)) | c_Relation_Orefl__on(_u655, _u657, _u659) )).
% 43.94/44.11 cnf(matrix-393, plain, ( ~c_Relation_Orefl__on(_u656, _u658, _u660) | c_Relation_Orefl__on(_u656, _u658, c_Relation_Oconverse(_u656, _u656, _u660)) )).
% 43.94/44.11 cnf(matrix-394, plain, ( c_Relation_Orefl__on(_u661, _u662, c_Relation_OId__on(_u661, _u662)) )).
% 43.94/44.11 cnf(matrix-395, plain, ( ~c_Relation_Orefl__on(_u663, _u664, _u665) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u663, _u663)), hAPP(hAPP(c_Product__Type_OPair(_u663, _u663), _u666), _u667)), _u665)) | hBOOL(hAPP(hAPP(c_member(_u663), _u667), _u664)) )).
% 43.94/44.11 cnf(matrix-396, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u668, _u668)), hAPP(hAPP(c_Product__Type_OPair(_u668, _u668), _u669), _u669)), c_Transitive__Closure_Ortrancl(_u668, _u670))) )).
% 43.94/44.11 cnf(matrix-397, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u671, _u671)), _u672), _u673)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u671, _u671)), _u672), c_Transitive__Closure_Ortrancl(_u671, _u673))) )).
% 43.94/44.11 cnf(matrix-398, plain, ( hBOOL(hAPP(hAPP(c_member(_u674), _u675), c_Relation_ODomain(_u674, _u674, _u676))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u674, _u674)), hAPP(hAPP(c_Product__Type_OPair(_u674, _u674), _u675), _u677)), c_Transitive__Closure_Ortrancl(_u674, _u676))) | ( _u675 = _u677) )).
% 43.94/44.11 cnf(matrix-399, plain, ( hBOOL(hAPP(hAPP(c_member(_u674), _u675), c_Relation_ODomain(_u674, _u674, _u676))) | ( _u675 != _u677) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u674, _u674)), hAPP(hAPP(c_Product__Type_OPair(_u674, _u674), _u675), _u677)), c_Transitive__Closure_Ortrancl(_u674, _u676))) )).
% 43.94/44.11 cnf(matrix-400, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u678, _u678)), hAPP(hAPP(c_Product__Type_OPair(_u678, _u678), _u679), _u680)), c_Transitive__Closure_Ortrancl(_u678, c_Relation_Oconverse(_u678, _u678, _u681)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u678, _u678)), hAPP(hAPP(c_Product__Type_OPair(_u678, _u678), _u680), _u679)), c_Transitive__Closure_Ortrancl(_u678, _u681))) )).
% 43.94/44.11 cnf(matrix-401, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u682, _u682)), hAPP(hAPP(c_Product__Type_OPair(_u682, _u682), _u683), _u684)), c_Transitive__Closure_Ortrancl(_u682, _u685))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u682, _u682)), hAPP(hAPP(c_Product__Type_OPair(_u682, _u682), _u684), _u683)), c_Transitive__Closure_Ortrancl(_u682, c_Relation_Oconverse(_u682, _u682, _u685)))) )).
% 43.94/44.11 cnf(matrix-402, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u686, _u686)), hAPP(hAPP(c_Product__Type_OPair(_u686, _u686), _u687), _u688)), c_Transitive__Closure_Ortrancl(_u686, _u689))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u686, _u686)), hAPP(hAPP(c_Product__Type_OPair(_u686, _u686), _u688), _u690)), c_Transitive__Closure_Ortrancl(_u686, _u689))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u686, _u686)), hAPP(hAPP(c_Product__Type_OPair(_u686, _u686), _u687), _u690)), c_Transitive__Closure_Ortrancl(_u686, _u689))) )).
% 43.94/44.11 cnf(matrix-403, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u691, _u691)), hAPP(hAPP(c_Product__Type_OPair(_u691, _u691), _u692), _u693)), c_Transitive__Closure_Ortrancl(_u691, _u694))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u691, _u691)), hAPP(hAPP(c_Product__Type_OPair(_u691, _u691), _u693), _u695)), _u694)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u691, _u691)), hAPP(hAPP(c_Product__Type_OPair(_u691, _u691), _u692), _u695)), c_Transitive__Closure_Ortrancl(_u691, _u694))) )).
% 43.94/44.11 cnf(matrix-404, plain, ( ( c_Transitive__Closure_Ortrancl(_u696, c_Transitive__Closure_Ortrancl(_u696, _u697)) = c_Transitive__Closure_Ortrancl(_u696, _u697)) )).
% 43.94/44.11 cnf(matrix-405, plain, ( ( c_Transitive__Closure_Ortrancl(_u698, c_Relation_Oconverse(_u698, _u698, _u699)) = c_Relation_Oconverse(_u698, _u698, c_Transitive__Closure_Ortrancl(_u698, _u699))) )).
% 43.94/44.11 cnf(matrix-406, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u700, _u700)), hAPP(hAPP(c_Product__Type_OPair(_u700, _u700), _u701), _u702)), _u703)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u700, _u700)), hAPP(hAPP(c_Product__Type_OPair(_u700, _u700), _u702), _u704)), c_Transitive__Closure_Ortrancl(_u700, _u703))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u700, _u700)), hAPP(hAPP(c_Product__Type_OPair(_u700, _u700), _u701), _u704)), c_Transitive__Closure_Ortrancl(_u700, _u703))) )).
% 43.94/44.11 cnf(matrix-407, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u705, _u706)), _u707), c_FuncSet_OPi(_u705, _u706, _u708, c_COMBK(tc_fun(_u706, tc_HOL_Obool), _u705, _u709)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u705, _u706)), _u707), c_FuncSet_Oextensional(_u705, _u706, _u708))) | ( c_FuncSet_Ocompose(_u705, _u705, _u706, _u708, _u707, c_FuncSet_Orestrict(_u705, _u705, c_COMBI(_u705), _u708)) = _u707) )).
% 43.94/44.11 cnf(matrix-408, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u710, _u711)), _u712), c_FuncSet_OPi(_u710, _u711, _u713, c_COMBK(tc_fun(_u711, tc_HOL_Obool), _u710, _u714)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u710, _u711)), _u712), c_FuncSet_Oextensional(_u710, _u711, _u713))) | ( c_FuncSet_Ocompose(_u710, _u711, _u711, _u713, c_FuncSet_Orestrict(_u711, _u711, c_COMBI(_u711), _u714), _u712) = _u712) )).
% 43.94/44.11 cnf(matrix-409, plain, ( ~c_Relation_Osingle__valued(_u715, _u715, _u716) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u715, _u715)), hAPP(hAPP(c_Product__Type_OPair(_u715, _u715), _u717), _u718)), c_Transitive__Closure_Ortrancl(_u715, _u716))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u715, _u715)), hAPP(hAPP(c_Product__Type_OPair(_u715, _u715), _u717), _u719)), c_Transitive__Closure_Ortrancl(_u715, _u716))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u715, _u715)), hAPP(hAPP(c_Product__Type_OPair(_u715, _u715), _u718), _u719)), c_Transitive__Closure_Ortrancl(_u715, _u716))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u715, _u715)), hAPP(hAPP(c_Product__Type_OPair(_u715, _u715), _u719), _u718)), c_Transitive__Closure_Ortrancl(_u715, _u716))) )).
% 43.94/44.11 cnf(matrix-410, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u726), _u727)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u728), _u729))), c_Transitive__Closure_Ortrancl(tc_prod(_u724, _u725), _u730))) | ~hBOOL(hAPP(hAPP(_u731, _u726), _u727)) | hBOOL(hAPP(hAPP(_u731, _u728), _u729)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u726), _u727)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), skolem39(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)), skolem40(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)))), c_Transitive__Closure_Ortrancl(tc_prod(_u724, _u725), _u730))) )).
% 43.94/44.11 cnf(matrix-411, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u726), _u727)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u728), _u729))), c_Transitive__Closure_Ortrancl(tc_prod(_u724, _u725), _u730))) | ~hBOOL(hAPP(hAPP(_u731, _u726), _u727)) | hBOOL(hAPP(hAPP(_u731, _u728), _u729)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), skolem39(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)), skolem40(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724))), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), skolem41(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)), skolem42(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)))), _u730)) )).
% 43.94/44.11 cnf(matrix-412, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u726), _u727)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u728), _u729))), c_Transitive__Closure_Ortrancl(tc_prod(_u724, _u725), _u730))) | ~hBOOL(hAPP(hAPP(_u731, _u726), _u727)) | hBOOL(hAPP(hAPP(_u731, _u728), _u729)) | hBOOL(hAPP(hAPP(_u731, skolem39(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)), skolem40(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724))) )).
% 43.94/44.11 cnf(matrix-413, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u724, _u725), tc_prod(_u724, _u725))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u724, _u725), tc_prod(_u724, _u725)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u726), _u727)), hAPP(hAPP(c_Product__Type_OPair(_u724, _u725), _u728), _u729))), c_Transitive__Closure_Ortrancl(tc_prod(_u724, _u725), _u730))) | ~hBOOL(hAPP(hAPP(_u731, _u726), _u727)) | hBOOL(hAPP(hAPP(_u731, _u728), _u729)) | ~hBOOL(hAPP(hAPP(_u731, skolem41(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724)), skolem42(_u731, _u730, _u729, _u728, _u727, _u726, _u725, _u724))) )).
% 43.94/44.11 cnf(matrix-414, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u738), _u739)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u740), _u741))), c_Transitive__Closure_Ortrancl(tc_prod(_u736, _u737), _u742))) | ~hBOOL(hAPP(hAPP(_u743, _u740), _u741)) | hBOOL(hAPP(hAPP(_u743, _u738), _u739)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), skolem43(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)), skolem44(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736))), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), skolem45(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)), skolem46(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)))), _u742)) )).
% 43.94/44.11 cnf(matrix-415, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u738), _u739)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u740), _u741))), c_Transitive__Closure_Ortrancl(tc_prod(_u736, _u737), _u742))) | ~hBOOL(hAPP(hAPP(_u743, _u740), _u741)) | hBOOL(hAPP(hAPP(_u743, _u738), _u739)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), skolem45(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)), skolem46(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736))), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u740), _u741))), c_Transitive__Closure_Ortrancl(tc_prod(_u736, _u737), _u742))) )).
% 43.94/44.11 cnf(matrix-416, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u738), _u739)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u740), _u741))), c_Transitive__Closure_Ortrancl(tc_prod(_u736, _u737), _u742))) | ~hBOOL(hAPP(hAPP(_u743, _u740), _u741)) | hBOOL(hAPP(hAPP(_u743, _u738), _u739)) | hBOOL(hAPP(hAPP(_u743, skolem45(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)), skolem46(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736))) )).
% 43.94/44.11 cnf(matrix-417, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u736, _u737), tc_prod(_u736, _u737))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u736, _u737), tc_prod(_u736, _u737)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u738), _u739)), hAPP(hAPP(c_Product__Type_OPair(_u736, _u737), _u740), _u741))), c_Transitive__Closure_Ortrancl(tc_prod(_u736, _u737), _u742))) | ~hBOOL(hAPP(hAPP(_u743, _u740), _u741)) | hBOOL(hAPP(hAPP(_u743, _u738), _u739)) | ~hBOOL(hAPP(hAPP(_u743, skolem43(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736)), skolem44(_u743, _u742, _u741, _u740, _u739, _u738, _u737, _u736))) )).
% 43.94/44.11 cnf(matrix-418, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u746, _u747), tc_prod(_u746, _u747))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u746, _u747), tc_prod(_u746, _u747)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u748), _u749)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u750), _u751))), c_Transitive__Closure_Ortrancl(tc_prod(_u746, _u747), _u752))) | ( hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u748), _u749) = hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u750), _u751)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u746, _u747), tc_prod(_u746, _u747))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u746, _u747), tc_prod(_u746, _u747)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u748), _u749)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), skolem47(_u752, _u751, _u750, _u749, _u748, _u747, _u746)), skolem48(_u752, _u751, _u750, _u749, _u748, _u747, _u746)))), _u752)) )).
% 43.94/44.11 cnf(matrix-419, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u746, _u747), tc_prod(_u746, _u747))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u746, _u747), tc_prod(_u746, _u747)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u748), _u749)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u750), _u751))), c_Transitive__Closure_Ortrancl(tc_prod(_u746, _u747), _u752))) | ( hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u748), _u749) = hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u750), _u751)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u746, _u747), tc_prod(_u746, _u747))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u746, _u747), tc_prod(_u746, _u747)), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), skolem47(_u752, _u751, _u750, _u749, _u748, _u747, _u746)), skolem48(_u752, _u751, _u750, _u749, _u748, _u747, _u746))), hAPP(hAPP(c_Product__Type_OPair(_u746, _u747), _u750), _u751))), c_Transitive__Closure_Ortrancl(tc_prod(_u746, _u747), _u752))) )).
% 43.94/44.11 cnf(matrix-420, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u753, _u754)), _u755), c_FuncSet_Oextensional(_u753, _u754, _u756))) | hBOOL(hAPP(hAPP(c_member(_u753), _u757), _u756)) | ( hAPP(_u755, _u757) = c_HOL_Oundefined(_u754)) )).
% 43.94/44.11 cnf(matrix-421, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u763), _u765), _u767)) | ( hAPP(c_FuncSet_Orestrict(_u763, _u769, _u771, _u767), _u765) = hAPP(_u771, _u765)) )).
% 43.94/44.11 cnf(matrix-422, plain, ( hBOOL(hAPP(hAPP(c_member(_u764), _u766), _u768)) | ( hAPP(c_FuncSet_Orestrict(_u764, _u770, _u772, _u768), _u766) = c_HOL_Oundefined(_u770)) )).
% 43.94/44.11 cnf(matrix-423, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u778), _u780), _u782)) | ( hAPP(c_FuncSet_Orestrict(_u778, _u784, _u786, _u782), _u780) = hAPP(_u786, _u780)) )).
% 43.94/44.11 cnf(matrix-424, plain, ( hBOOL(hAPP(hAPP(c_member(_u779), _u781), _u783)) | ( hAPP(c_FuncSet_Orestrict(_u779, _u785, _u787, _u783), _u781) = c_HOL_Oundefined(_u785)) )).
% 43.94/44.11 cnf(matrix-425, plain, ( c_Relation_Osingle__valued(_u788, _u788, c_Relation_OId__on(_u788, _u789)) )).
% 43.94/44.11 cnf(matrix-426, plain, ( ( c_FuncSet_Ocompose(_u790, _u791, _u792, _u793, _u794, _u795) = c_FuncSet_Orestrict(_u790, _u792, hAPP(c_COMBB(_u791, _u792, _u790, _u794), _u795), _u793)) )).
% 43.94/44.11 cnf(matrix-427, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u796, _u797)), c_FuncSet_Orestrict(_u796, _u797, _u798, _u799)), c_FuncSet_Oextensional(_u796, _u797, _u799))) )).
% 43.94/44.11 cnf(matrix-428, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u800, _u801)), _u802), c_FuncSet_Oextensional(_u800, _u801, _u803))) | ( c_FuncSet_Orestrict(_u800, _u801, _u802, _u803) = _u802) )).
% 43.94/44.11 cnf(matrix-429, plain, ( ~c_Relation_Osingle__valued(_u804, _u805, _u806) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u804, _u805)), hAPP(hAPP(c_Product__Type_OPair(_u804, _u805), _u807), _u808)), _u806)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u804, _u805)), hAPP(hAPP(c_Product__Type_OPair(_u804, _u805), _u807), _u809)), _u806)) | ( _u808 = _u809) )).
% 43.94/44.11 cnf(matrix-430, plain, ( ~c_Relation_Osingle__valued(_u819, _u821, _u823) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u819, _u821)), hAPP(hAPP(c_Product__Type_OPair(_u819, _u821), _u812), _u811)), _u823)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u819, _u821)), hAPP(hAPP(c_Product__Type_OPair(_u819, _u821), _u812), _u810)), _u823)) | ( _u811 = _u810) )).
% 43.94/44.11 cnf(matrix-431, plain, ( c_Relation_Osingle__valued(_u820, _u822, _u824) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u820, _u822)), hAPP(hAPP(c_Product__Type_OPair(_u820, _u822), skolem49(_u824, _u822, _u820)), skolem50(_u824, _u822, _u820))), _u824)) )).
% 43.94/44.11 cnf(matrix-432, plain, ( c_Relation_Osingle__valued(_u820, _u822, _u824) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u820, _u822)), hAPP(hAPP(c_Product__Type_OPair(_u820, _u822), skolem49(_u824, _u822, _u820)), skolem51(_u824, _u822, _u820))), _u824)) )).
% 43.94/44.11 cnf(matrix-433, plain, ( c_Relation_Osingle__valued(_u820, _u822, _u824) | ( skolem50(_u824, _u822, _u820) != skolem51(_u824, _u822, _u820)) )).
% 43.94/44.11 cnf(matrix-434, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u826, _u828)), c_FuncSet_Orestrict(_u826, _u828, _u829, _u827)), c_FuncSet_OPi(_u826, _u828, _u827, _u830))) | hBOOL(hAPP(hAPP(c_member(_u826), skolem52(_u830, _u829, _u828, _u827, _u826)), _u827)) )).
% 43.94/44.11 cnf(matrix-435, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u826, _u828)), c_FuncSet_Orestrict(_u826, _u828, _u829, _u827)), c_FuncSet_OPi(_u826, _u828, _u827, _u830))) | ~hBOOL(hAPP(hAPP(c_member(_u828), hAPP(_u829, skolem52(_u830, _u829, _u828, _u827, _u826))), hAPP(_u830, skolem52(_u830, _u829, _u828, _u827, _u826)))) )).
% 43.94/44.11 cnf(matrix-436, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u832, _u834)), c_FuncSet_Orestrict(_u832, _u834, _u835, _u833)), c_FuncSet_OPi(_u832, _u834, _u833, c_COMBK(tc_fun(_u834, tc_HOL_Obool), _u832, _u836)))) | hBOOL(hAPP(hAPP(c_member(_u832), skolem53(_u836, _u835, _u834, _u833, _u832)), _u833)) )).
% 43.94/44.11 cnf(matrix-437, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u832, _u834)), c_FuncSet_Orestrict(_u832, _u834, _u835, _u833)), c_FuncSet_OPi(_u832, _u834, _u833, c_COMBK(tc_fun(_u834, tc_HOL_Obool), _u832, _u836)))) | ~hBOOL(hAPP(hAPP(c_member(_u834), hAPP(_u835, skolem53(_u836, _u835, _u834, _u833, _u832))), _u836)) )).
% 43.94/44.11 cnf(matrix-438, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u843, _u843)), hAPP(hAPP(c_Product__Type_OPair(_u843, _u843), _u845), _u847)), _u849)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u843, _u851), _u853), _u849), _u847), _u845) = hAPP(_u853, _u845)) )).
% 43.94/44.11 cnf(matrix-439, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u844, _u844)), hAPP(hAPP(c_Product__Type_OPair(_u844, _u844), _u846), _u848)), _u850)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u844, _u852), _u854), _u850), _u848), _u846) = c_HOL_Oundefined(_u852)) )).
% 43.94/44.11 cnf(matrix-440, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u855, _u856)), _u857), c_FuncSet_Oextensional__funcset(_u855, _u856, _u858, _u859))) | hBOOL(hAPP(hAPP(c_member(_u855), _u860), _u858)) | ( hAPP(_u857, _u860) = c_HOL_Oundefined(_u856)) )).
% 43.94/44.11 cnf(matrix-441, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u862, _u863)), _u864), c_FuncSet_Oextensional(_u862, _u863, _u865))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u862, _u863)), _u866), c_FuncSet_Oextensional(_u862, _u863, _u865))) | ( _u864 = _u866) | hBOOL(hAPP(hAPP(c_member(_u862), skolem54(_u866, _u865, _u864, _u863, _u862)), _u865)) )).
% 43.94/44.11 cnf(matrix-442, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u862, _u863)), _u864), c_FuncSet_Oextensional(_u862, _u863, _u865))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u862, _u863)), _u866), c_FuncSet_Oextensional(_u862, _u863, _u865))) | ( _u864 = _u866) | ( hAPP(_u864, skolem54(_u866, _u865, _u864, _u863, _u862)) != hAPP(_u866, skolem54(_u866, _u865, _u864, _u863, _u862))) )).
% 43.94/44.11 cnf(matrix-443, plain, ( c_Relation_Osingle__valued(_u870, _u871, _u872) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u870, _u871)), hAPP(hAPP(c_Product__Type_OPair(_u870, _u871), skolem55(_u872, _u871, _u870)), skolem56(_u872, _u871, _u870))), _u872)) )).
% 43.94/44.11 cnf(matrix-444, plain, ( c_Relation_Osingle__valued(_u870, _u871, _u872) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u870, _u871)), hAPP(hAPP(c_Product__Type_OPair(_u870, _u871), skolem55(_u872, _u871, _u870)), skolem57(_u872, _u871, _u870))), _u872)) )).
% 43.94/44.11 cnf(matrix-445, plain, ( c_Relation_Osingle__valued(_u870, _u871, _u872) | ( skolem56(_u872, _u871, _u870) != skolem57(_u872, _u871, _u870)) )).
% 43.94/44.11 cnf(matrix-446, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), _u876), _u877)), c_Transitive__Closure_Ortrancl(_u875, _u878))) | ~hBOOL(hAPP(_u879, _u876)) | hBOOL(hAPP(_u879, _u877)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), _u876), skolem58(_u879, _u878, _u877, _u876, _u875))), c_Transitive__Closure_Ortrancl(_u875, _u878))) )).
% 43.94/44.11 cnf(matrix-447, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), _u876), _u877)), c_Transitive__Closure_Ortrancl(_u875, _u878))) | ~hBOOL(hAPP(_u879, _u876)) | hBOOL(hAPP(_u879, _u877)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), skolem58(_u879, _u878, _u877, _u876, _u875)), skolem59(_u879, _u878, _u877, _u876, _u875))), _u878)) )).
% 43.94/44.11 cnf(matrix-448, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), _u876), _u877)), c_Transitive__Closure_Ortrancl(_u875, _u878))) | ~hBOOL(hAPP(_u879, _u876)) | hBOOL(hAPP(_u879, _u877)) | hBOOL(hAPP(_u879, skolem58(_u879, _u878, _u877, _u876, _u875))) )).
% 43.94/44.11 cnf(matrix-449, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u875, _u875)), hAPP(hAPP(c_Product__Type_OPair(_u875, _u875), _u876), _u877)), c_Transitive__Closure_Ortrancl(_u875, _u878))) | ~hBOOL(hAPP(_u879, _u876)) | hBOOL(hAPP(_u879, _u877)) | ~hBOOL(hAPP(_u879, skolem59(_u879, _u878, _u877, _u876, _u875))) )).
% 43.94/44.11 cnf(matrix-450, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u880, _u881)), _u882), c_FuncSet_Oextensional__funcset(_u880, _u881, _u883, _u884))) | ~hBOOL(hAPP(hAPP(c_member(_u880), _u885), _u883)) | hBOOL(hAPP(hAPP(c_member(_u881), hAPP(_u882, _u885)), _u884)) )).
% 43.94/44.11 cnf(matrix-451, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u888, _u888)), hAPP(hAPP(c_Product__Type_OPair(_u888, _u888), _u889), _u890)), _u886)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u888, _u891), _u887), _u886), _u890), _u889) = hAPP(_u887, _u889)) )).
% 43.94/44.11 cnf(matrix-452, plain, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u900, _u902), _u904), _u906), _u908) != hAPP(hAPP(hAPP(c_Recdef_Ocut(_u900, _u902), _u910), _u906), _u908)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u900, _u900)), hAPP(hAPP(c_Product__Type_OPair(_u900, _u900), _u892), _u908)), _u906)) | ( hAPP(_u904, _u892) = hAPP(_u910, _u892)) )).
% 43.94/44.12 cnf(matrix-453, plain, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u901, _u903), _u905), _u907), _u909) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_u901, _u903), _u911), _u907), _u909)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u901, _u901)), hAPP(hAPP(c_Product__Type_OPair(_u901, _u901), skolem60(_u911, _u909, _u907, _u905, _u903, _u901)), _u909)), _u907)) )).
% 43.94/44.12 cnf(matrix-454, plain, ( ( hAPP(hAPP(hAPP(c_Recdef_Ocut(_u901, _u903), _u905), _u907), _u909) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_u901, _u903), _u911), _u907), _u909)) | ( hAPP(_u905, skolem60(_u911, _u909, _u907, _u905, _u903, _u901)) != hAPP(_u911, skolem60(_u911, _u909, _u907, _u905, _u903, _u901))) )).
% 43.94/44.12 cnf(matrix-455, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u912, _u912)), hAPP(hAPP(c_Product__Type_OPair(_u912, _u912), _u913), _u914)), _u915)) | ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_u912, _u916), _u917), _u915), _u914), _u913) = hAPP(_u917, _u913)) )).
% 43.94/44.12 cnf(matrix-456, plain, ( c_Recdef_Oadm__wf(_u918, _u919, _u920, hAPP(hAPP(c_COMBC(tc_fun(_u918, _u919), tc_fun(_u918, _u918), tc_fun(_u918, _u919)), hAPP(c_COMBB(tc_fun(_u918, tc_fun(_u918, _u919)), tc_fun(tc_fun(_u918, _u918), tc_fun(_u918, _u919)), tc_fun(_u918, _u919), c_COMBS(_u918, _u918, _u919)), hAPP(c_COMBB(tc_fun(_u918, tc_fun(_u918, _u919)), tc_fun(_u918, tc_fun(_u918, _u919)), tc_fun(_u918, _u919), c_COMBB(tc_fun(_u918, _u919), tc_fun(_u918, _u919), _u918, _u921)), hAPP(hAPP(c_COMBC(tc_fun(_u918, _u919), tc_fun(tc_prod(_u918, _u918), tc_HOL_Obool), tc_fun(_u918, tc_fun(_u918, _u919))), c_Recdef_Ocut(_u918, _u919)), _u920)))), c_COMBI(_u918))) )).
% 43.94/44.12 cnf(matrix-457, plain, ( ( c_FuncSet_Oextensional__funcset(_u922, _u923, _u924, _u925) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u922, _u923), tc_HOL_Obool), c_FuncSet_OPi(_u922, _u923, _u924, c_COMBK(tc_fun(_u923, tc_HOL_Obool), _u922, _u925)), c_FuncSet_Oextensional(_u922, _u923, _u924))) )).
% 43.94/44.12 cnf(matrix-458, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u927, _u927)), hAPP(hAPP(c_Product__Type_OPair(_u927, _u927), _u928), _u929)), c_Transitive__Closure_Ortrancl(_u927, _u930))) | ( _u928 = _u929) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u927, _u927)), hAPP(hAPP(c_Product__Type_OPair(_u927, _u927), _u928), skolem61(_u930, _u929, _u928, _u927))), c_Transitive__Closure_Ortrancl(_u927, _u930))) )).
% 43.94/44.12 cnf(matrix-459, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u927, _u927)), hAPP(hAPP(c_Product__Type_OPair(_u927, _u927), _u928), _u929)), c_Transitive__Closure_Ortrancl(_u927, _u930))) | ( _u928 = _u929) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u927, _u927)), hAPP(hAPP(c_Product__Type_OPair(_u927, _u927), skolem61(_u930, _u929, _u928, _u927)), _u929)), _u930)) )).
% 43.94/44.12 cnf(matrix-460, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u932, _u932)), hAPP(hAPP(c_Product__Type_OPair(_u932, _u932), _u933), _u934)), c_Transitive__Closure_Ortrancl(_u932, _u935))) | ( _u933 = _u934) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u932, _u932)), hAPP(hAPP(c_Product__Type_OPair(_u932, _u932), _u933), skolem62(_u935, _u934, _u933, _u932))), _u935)) )).
% 43.94/44.12 cnf(matrix-461, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u932, _u932)), hAPP(hAPP(c_Product__Type_OPair(_u932, _u932), _u933), _u934)), c_Transitive__Closure_Ortrancl(_u932, _u935))) | ( _u933 = _u934) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u932, _u932)), hAPP(hAPP(c_Product__Type_OPair(_u932, _u932), skolem62(_u935, _u934, _u933, _u932)), _u934)), c_Transitive__Closure_Ortrancl(_u932, _u935))) )).
% 43.94/44.12 cnf(matrix-462, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), _u939), _u940)), c_Transitive__Closure_Ortrancl(_u938, _u941))) | ~hBOOL(hAPP(_u942, _u940)) | hBOOL(hAPP(_u942, _u939)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), skolem63(_u942, _u941, _u940, _u939, _u938)), skolem64(_u942, _u941, _u940, _u939, _u938))), _u941)) )).
% 43.94/44.12 cnf(matrix-463, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), _u939), _u940)), c_Transitive__Closure_Ortrancl(_u938, _u941))) | ~hBOOL(hAPP(_u942, _u940)) | hBOOL(hAPP(_u942, _u939)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), skolem64(_u942, _u941, _u940, _u939, _u938)), _u940)), c_Transitive__Closure_Ortrancl(_u938, _u941))) )).
% 43.94/44.12 cnf(matrix-464, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), _u939), _u940)), c_Transitive__Closure_Ortrancl(_u938, _u941))) | ~hBOOL(hAPP(_u942, _u940)) | hBOOL(hAPP(_u942, _u939)) | hBOOL(hAPP(_u942, skolem64(_u942, _u941, _u940, _u939, _u938))) )).
% 43.94/44.12 cnf(matrix-465, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u938, _u938)), hAPP(hAPP(c_Product__Type_OPair(_u938, _u938), _u939), _u940)), c_Transitive__Closure_Ortrancl(_u938, _u941))) | ~hBOOL(hAPP(_u942, _u940)) | hBOOL(hAPP(_u942, _u939)) | ~hBOOL(hAPP(_u942, skolem63(_u942, _u941, _u940, _u939, _u938))) )).
% 43.94/44.12 cnf(matrix-466, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u943, _u943)), hAPP(hAPP(c_Product__Type_OPair(_u943, _u943), _u944), _u945)), c_Transitive__Closure_Otrancl(_u943, _u946))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u943, _u943)), hAPP(hAPP(c_Product__Type_OPair(_u943, _u943), _u944), _u945)), c_Transitive__Closure_Ortrancl(_u943, _u946))) )).
% 43.94/44.12 cnf(matrix-467, plain, ( ~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u947, tc_HOL_Obool), _u948, _u949), _u950)) | hBOOL(hAPP(_u948, _u950)) )).
% 43.94/44.12 cnf(matrix-468, plain, ( ~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u947, tc_HOL_Obool), _u948, _u949), _u950)) | hBOOL(hAPP(_u949, _u950)) )).
% 43.94/44.12 cnf(matrix-469, plain, ( ~hBOOL(hAPP(_u951, _u952)) | ~hBOOL(hAPP(_u953, _u952)) | hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u954, tc_HOL_Obool), _u951, _u953), _u952)) )).
% 43.94/44.12 cnf(matrix-470, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u955), _u956), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u955, tc_HOL_Obool), _u957, _u958))) | hBOOL(hAPP(hAPP(c_member(_u955), _u956), _u957)) )).
% 43.94/44.12 cnf(matrix-471, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u955), _u956), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u955, tc_HOL_Obool), _u957, _u958))) | hBOOL(hAPP(hAPP(c_member(_u955), _u956), _u958)) )).
% 43.94/44.12 cnf(matrix-472, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u959), _u960), _u961)) | ~hBOOL(hAPP(hAPP(c_member(_u959), _u960), _u962)) | hBOOL(hAPP(hAPP(c_member(_u959), _u960), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u959, tc_HOL_Obool), _u961, _u962))) )).
% 43.94/44.12 cnf(matrix-473, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u963, _u963)), hAPP(hAPP(c_Product__Type_OPair(_u963, _u963), _u964), _u965)), _u966)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u963, _u963)), hAPP(hAPP(c_Product__Type_OPair(_u963, _u963), _u964), _u965)), c_Transitive__Closure_Otrancl(_u963, _u966))) )).
% 43.94/44.12 cnf(matrix-474, plain, ( hBOOL(hAPP(_u969, _u970)) | ~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u967, tc_HOL_Obool), _u968, _u969), _u970)) )).
% 43.94/44.12 cnf(matrix-475, plain, ( hBOOL(hAPP(_u972, _u974)) | ~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u971, tc_HOL_Obool), _u972, _u973), _u974)) )).
% 43.94/44.12 cnf(matrix-476, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u975, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u975, tc_HOL_Obool), _u976, _u977), _u978) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u975, tc_HOL_Obool), _u976, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u975, tc_HOL_Obool), _u977, _u978))) )).
% 43.94/44.12 cnf(matrix-477, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u979, tc_HOL_Obool), _u980, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u979, tc_HOL_Obool), _u981, _u982)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u979, tc_HOL_Obool), _u981, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u979, tc_HOL_Obool), _u980, _u982))) )).
% 43.94/44.12 cnf(matrix-478, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u983, tc_HOL_Obool), _u984, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u983, tc_HOL_Obool), _u984, _u985)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u983, tc_HOL_Obool), _u984, _u985)) )).
% 43.94/44.12 cnf(matrix-479, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u986, tc_HOL_Obool), _u987, _u988) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u986, tc_HOL_Obool), _u988, _u987)) )).
% 43.94/44.12 cnf(matrix-480, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u989, tc_HOL_Obool), _u990, _u990) = _u990) )).
% 43.94/44.12 cnf(matrix-481, plain, ( ~c_Relation_Orefl__on(_u991, _u992, _u993) | ~c_Relation_Orefl__on(_u991, _u994, _u995) | c_Relation_Orefl__on(_u991, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u991, tc_HOL_Obool), _u992, _u994), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u991, _u991), tc_HOL_Obool), _u993, _u995)) )).
% 43.94/44.12 cnf(matrix-482, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u996), _u997), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u996, tc_HOL_Obool), _u998, _u999))) | hBOOL(hAPP(hAPP(c_member(_u996), _u997), _u999)) )).
% 43.94/44.12 cnf(matrix-483, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1000), _u1001), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1000, tc_HOL_Obool), _u1002, _u1003))) | hBOOL(hAPP(hAPP(c_member(_u1000), _u1001), _u1002)) )).
% 43.94/44.12 cnf(matrix-484, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1008), _u1010), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1008, tc_HOL_Obool), _u1012, _u1014))) | hBOOL(hAPP(hAPP(c_member(_u1008), _u1010), _u1012)) )).
% 43.94/44.12 cnf(matrix-485, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1008), _u1010), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1008, tc_HOL_Obool), _u1012, _u1014))) | hBOOL(hAPP(hAPP(c_member(_u1008), _u1010), _u1014)) )).
% 43.94/44.12 cnf(matrix-486, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1009), _u1011), _u1013)) | ~hBOOL(hAPP(hAPP(c_member(_u1009), _u1011), _u1015)) | hBOOL(hAPP(hAPP(c_member(_u1009), _u1011), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1009, tc_HOL_Obool), _u1013, _u1015))) )).
% 43.94/44.12 cnf(matrix-487, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1016, _u1016)), _u1017), _u1018)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1016, _u1016)), _u1017), c_Transitive__Closure_Otrancl(_u1016, _u1018))) )).
% 43.94/44.12 cnf(matrix-488, plain, ( ( c_Transitive__Closure_Ortrancl(_u1019, c_Transitive__Closure_Otrancl(_u1019, _u1020)) = c_Transitive__Closure_Ortrancl(_u1019, _u1020)) )).
% 43.94/44.12 cnf(matrix-489, plain, ( ( c_Transitive__Closure_Otrancl(_u1021, c_Transitive__Closure_Ortrancl(_u1021, _u1022)) = c_Transitive__Closure_Ortrancl(_u1021, _u1022)) )).
% 43.94/44.12 cnf(matrix-490, plain, ( ( c_Transitive__Closure_Otrancl(_u1023, c_Relation_Oconverse(_u1023, _u1023, _u1024)) = c_Relation_Oconverse(_u1023, _u1023, c_Transitive__Closure_Otrancl(_u1023, _u1024))) )).
% 43.94/44.12 cnf(matrix-491, plain, ( ( c_Relation_ODomain(_u1025, _u1025, c_Transitive__Closure_Otrancl(_u1025, _u1026)) = c_Relation_ODomain(_u1025, _u1025, _u1026)) )).
% 43.94/44.12 cnf(matrix-492, plain, ( ( c_Relation_ORange(_u1027, _u1027, c_Transitive__Closure_Otrancl(_u1027, _u1028)) = c_Relation_ORange(_u1027, _u1027, _u1028)) )).
% 43.94/44.12 cnf(matrix-493, plain, ( ~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1033, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1033, tc_fun(_u1033, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1033)), _u1035), hAPP(hAPP(c_COMBC(_u1033, tc_fun(_u1033, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1033)), _u1037)), _u1039)) | hBOOL(hAPP(hAPP(c_member(_u1033), _u1039), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1033, tc_HOL_Obool), _u1035, _u1037))) )).
% 43.94/44.12 cnf(matrix-494, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1034), _u1040), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1034, tc_HOL_Obool), _u1036, _u1038))) | hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1034, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1034, tc_fun(_u1034, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1034)), _u1036), hAPP(hAPP(c_COMBC(_u1034, tc_fun(_u1034, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1034)), _u1038)), _u1040)) )).
% 43.94/44.12 cnf(matrix-495, plain, ( ~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))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1041, _u1041)), hAPP(hAPP(c_Product__Type_OPair(_u1041, _u1041), _u1043), _u1045)), c_Transitive__Closure_Otrancl(_u1041, _u1044))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1041, _u1041)), hAPP(hAPP(c_Product__Type_OPair(_u1041, _u1041), _u1042), _u1045)), c_Transitive__Closure_Otrancl(_u1041, _u1044))) )).
% 43.94/44.12 cnf(matrix-496, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1046, _u1046)), hAPP(hAPP(c_Product__Type_OPair(_u1046, _u1046), _u1047), _u1048)), c_Transitive__Closure_Otrancl(_u1046, _u1049))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1046, _u1046)), hAPP(hAPP(c_Product__Type_OPair(_u1046, _u1046), _u1048), _u1050)), _u1049)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1046, _u1046)), hAPP(hAPP(c_Product__Type_OPair(_u1046, _u1046), _u1047), _u1050)), c_Transitive__Closure_Otrancl(_u1046, _u1049))) )).
% 43.94/44.12 cnf(matrix-497, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1051, _u1051)), hAPP(hAPP(c_Product__Type_OPair(_u1051, _u1051), _u1052), _u1053)), _u1054)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1051, _u1051)), hAPP(hAPP(c_Product__Type_OPair(_u1051, _u1051), _u1053), _u1055)), c_Transitive__Closure_Otrancl(_u1051, _u1054))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1051, _u1051)), hAPP(hAPP(c_Product__Type_OPair(_u1051, _u1051), _u1052), _u1055)), c_Transitive__Closure_Otrancl(_u1051, _u1054))) )).
% 43.94/44.12 cnf(matrix-498, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1056, _u1056)), hAPP(hAPP(c_Product__Type_OPair(_u1056, _u1056), _u1057), _u1058)), _u1059)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1056, _u1056)), hAPP(hAPP(c_Product__Type_OPair(_u1056, _u1056), _u1058), _u1060)), _u1059)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1056, _u1056)), hAPP(hAPP(c_Product__Type_OPair(_u1056, _u1056), _u1057), _u1060)), c_Transitive__Closure_Otrancl(_u1056, _u1059))) )).
% 43.94/44.12 cnf(matrix-499, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1065, _u1065)), hAPP(hAPP(c_Product__Type_OPair(_u1065, _u1065), _u1067), _u1069)), c_Transitive__Closure_Ortrancl(_u1065, _u1071))) | ( _u1067 = _u1069) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1065, _u1065)), hAPP(hAPP(c_Product__Type_OPair(_u1065, _u1065), _u1067), _u1069)), c_Transitive__Closure_Otrancl(_u1065, _u1071))) )).
% 43.94/44.12 cnf(matrix-500, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1066, _u1066)), hAPP(hAPP(c_Product__Type_OPair(_u1066, _u1066), _u1068), _u1070)), c_Transitive__Closure_Ortrancl(_u1066, _u1072))) | ( _u1068 != _u1070) )).
% 43.94/44.12 cnf(matrix-501, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1066, _u1066)), hAPP(hAPP(c_Product__Type_OPair(_u1066, _u1066), _u1068), _u1070)), c_Transitive__Closure_Ortrancl(_u1066, _u1072))) | ( _u1068 = _u1070) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1066, _u1066)), hAPP(hAPP(c_Product__Type_OPair(_u1066, _u1066), _u1068), _u1070)), c_Transitive__Closure_Otrancl(_u1066, _u1072))) )).
% 43.94/44.12 cnf(matrix-502, 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)), c_Transitive__Closure_Ortrancl(_u1073, _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))) )).
% 43.94/44.12 cnf(matrix-503, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1078, _u1078)), hAPP(hAPP(c_Product__Type_OPair(_u1078, _u1078), _u1079), _u1080)), c_Transitive__Closure_Ortrancl(_u1078, _u1081))) | ( _u1079 = _u1080) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1078, _u1078)), hAPP(hAPP(c_Product__Type_OPair(_u1078, _u1078), _u1079), _u1080)), c_Transitive__Closure_Otrancl(_u1078, _u1081))) )).
% 43.94/44.12 cnf(matrix-504, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1082, _u1082)), hAPP(hAPP(c_Product__Type_OPair(_u1082, _u1082), _u1083), _u1084)), c_Transitive__Closure_Ortrancl(_u1082, _u1085))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1082, _u1082)), hAPP(hAPP(c_Product__Type_OPair(_u1082, _u1082), _u1084), _u1086)), _u1085)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1082, _u1082)), hAPP(hAPP(c_Product__Type_OPair(_u1082, _u1082), _u1083), _u1086)), c_Transitive__Closure_Otrancl(_u1082, _u1085))) )).
% 43.94/44.12 cnf(matrix-505, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1087, _u1087)), hAPP(hAPP(c_Product__Type_OPair(_u1087, _u1087), _u1088), _u1089)), c_Transitive__Closure_Otrancl(_u1087, _u1090))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1087, _u1087)), hAPP(hAPP(c_Product__Type_OPair(_u1087, _u1087), _u1089), _u1091)), c_Transitive__Closure_Ortrancl(_u1087, _u1090))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1087, _u1087)), hAPP(hAPP(c_Product__Type_OPair(_u1087, _u1087), _u1088), _u1091)), c_Transitive__Closure_Otrancl(_u1087, _u1090))) )).
% 43.94/44.12 cnf(matrix-506, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1092, _u1092)), hAPP(hAPP(c_Product__Type_OPair(_u1092, _u1092), _u1093), _u1094)), c_Transitive__Closure_Ortrancl(_u1092, _u1095))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1092, _u1092)), hAPP(hAPP(c_Product__Type_OPair(_u1092, _u1092), _u1094), _u1096)), c_Transitive__Closure_Otrancl(_u1092, _u1095))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1092, _u1092)), hAPP(hAPP(c_Product__Type_OPair(_u1092, _u1092), _u1093), _u1096)), c_Transitive__Closure_Otrancl(_u1092, _u1095))) )).
% 43.94/44.12 cnf(matrix-507, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1097, _u1097)), hAPP(hAPP(c_Product__Type_OPair(_u1097, _u1097), _u1098), _u1099)), c_Transitive__Closure_Otrancl(_u1097, c_Relation_Oconverse(_u1097, _u1097, _u1100)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1097, _u1097)), hAPP(hAPP(c_Product__Type_OPair(_u1097, _u1097), _u1098), _u1099)), c_Relation_Oconverse(_u1097, _u1097, c_Transitive__Closure_Otrancl(_u1097, _u1100)))) )).
% 43.94/44.12 cnf(matrix-508, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1101, _u1101)), hAPP(hAPP(c_Product__Type_OPair(_u1101, _u1101), _u1102), _u1103)), c_Relation_Oconverse(_u1101, _u1101, c_Transitive__Closure_Otrancl(_u1101, _u1104)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1101, _u1101)), hAPP(hAPP(c_Product__Type_OPair(_u1101, _u1101), _u1102), _u1103)), c_Transitive__Closure_Otrancl(_u1101, c_Relation_Oconverse(_u1101, _u1101, _u1104)))) )).
% 43.94/44.12 cnf(matrix-509, plain, ( ~class_Lattices_Olattice(_u1105) | ( hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1106, _u1105), _u1107, _u1108), _u1109) = c_Lattices_Osemilattice__inf__class_Oinf(_u1105, hAPP(_u1107, _u1109), hAPP(_u1108, _u1109))) )).
% 43.94/44.12 cnf(matrix-510, plain, ( ~class_Lattices_Olattice(_u1110) | ( hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1111, _u1110), _u1112, _u1113), _u1114) = c_Lattices_Osemilattice__inf__class_Oinf(_u1110, hAPP(_u1112, _u1114), hAPP(_u1113, _u1114))) )).
% 43.94/44.12 cnf(matrix-511, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1116, _u1116)), hAPP(hAPP(c_Product__Type_OPair(_u1116, _u1116), _u1117), _u1118)), c_Transitive__Closure_Otrancl(_u1116, _u1119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1116, _u1116)), hAPP(hAPP(c_Product__Type_OPair(_u1116, _u1116), _u1117), skolem65(_u1119, _u1118, _u1117, _u1116))), _u1119)) )).
% 43.94/44.12 cnf(matrix-512, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1116, _u1116)), hAPP(hAPP(c_Product__Type_OPair(_u1116, _u1116), _u1117), _u1118)), c_Transitive__Closure_Otrancl(_u1116, _u1119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1116, _u1116)), hAPP(hAPP(c_Product__Type_OPair(_u1116, _u1116), skolem65(_u1119, _u1118, _u1117, _u1116)), _u1118)), c_Transitive__Closure_Ortrancl(_u1116, _u1119))) )).
% 43.94/44.12 cnf(matrix-513, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1121, _u1121)), hAPP(hAPP(c_Product__Type_OPair(_u1121, _u1121), _u1122), _u1123)), c_Transitive__Closure_Otrancl(_u1121, _u1124))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1121, _u1121)), hAPP(hAPP(c_Product__Type_OPair(_u1121, _u1121), _u1122), skolem66(_u1124, _u1123, _u1122, _u1121))), c_Transitive__Closure_Ortrancl(_u1121, _u1124))) )).
% 43.94/44.12 cnf(matrix-514, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1121, _u1121)), hAPP(hAPP(c_Product__Type_OPair(_u1121, _u1121), _u1122), _u1123)), c_Transitive__Closure_Otrancl(_u1121, _u1124))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1121, _u1121)), hAPP(hAPP(c_Product__Type_OPair(_u1121, _u1121), skolem66(_u1124, _u1123, _u1122, _u1121)), _u1123)), _u1124)) )).
% 43.94/44.12 cnf(matrix-515, plain, ( ~c_Wellfounded_Oacyclic(_u1129, _u1131) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1129, _u1129)), hAPP(hAPP(c_Product__Type_OPair(_u1129, _u1129), _u1125), _u1125)), c_Transitive__Closure_Otrancl(_u1129, _u1131))) )).
% 43.94/44.12 cnf(matrix-516, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1130, _u1130)), hAPP(hAPP(c_Product__Type_OPair(_u1130, _u1130), skolem67(_u1132, _u1130)), skolem67(_u1132, _u1130))), c_Transitive__Closure_Otrancl(_u1130, _u1132))) | c_Wellfounded_Oacyclic(_u1130, _u1132) )).
% 43.94/44.12 cnf(matrix-517, plain, ( ~c_Recdef_Oadm__wf(_u1145, _u1147, _u1149, _u1151) | ( hAPP(hAPP(_u1151, _u1136), _u1134) = hAPP(hAPP(_u1151, _u1135), _u1134)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1145, _u1145)), hAPP(hAPP(c_Product__Type_OPair(_u1145, _u1145), skolem68(_u1151, _u1149, _u1147, _u1145, _u1136, _u1135, _u1134)), _u1134)), _u1149)) )).
% 43.94/44.12 cnf(matrix-518, plain, ( ~c_Recdef_Oadm__wf(_u1145, _u1147, _u1149, _u1151) | ( hAPP(hAPP(_u1151, _u1136), _u1134) = hAPP(hAPP(_u1151, _u1135), _u1134)) | ( hAPP(_u1136, skolem68(_u1151, _u1149, _u1147, _u1145, _u1136, _u1135, _u1134)) != hAPP(_u1135, skolem68(_u1151, _u1149, _u1147, _u1145, _u1136, _u1135, _u1134))) )).
% 43.94/44.12 cnf(matrix-519, plain, ( c_Recdef_Oadm__wf(_u1146, _u1148, _u1150, _u1152) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1146, _u1146)), hAPP(hAPP(c_Product__Type_OPair(_u1146, _u1146), _u1137), skolem71(_u1152, _u1150, _u1148, _u1146))), _u1150)) | ( hAPP(skolem69(_u1152, _u1150, _u1148, _u1146), _u1137) = hAPP(skolem70(_u1152, _u1150, _u1148, _u1146), _u1137)) )).
% 43.94/44.12 cnf(matrix-520, plain, ( c_Recdef_Oadm__wf(_u1146, _u1148, _u1150, _u1152) | ( hAPP(hAPP(_u1152, skolem69(_u1152, _u1150, _u1148, _u1146)), skolem71(_u1152, _u1150, _u1148, _u1146)) != hAPP(hAPP(_u1152, skolem70(_u1152, _u1150, _u1148, _u1146)), skolem71(_u1152, _u1150, _u1148, _u1146))) )).
% 43.94/44.12 cnf(matrix-521, plain, ( ~hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1159, tc_fun(_u1161, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1159, tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_fun(_u1161, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1161, tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_fun(_u1161, tc_HOL_Obool)), _u1159, c_COMBC(_u1161, tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1161, tc_prod(_u1159, _u1161)), tc_fun(_u1161, tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), _u1159, c_COMBB(tc_prod(_u1159, _u1161), tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool), _u1161, c_member(tc_prod(_u1159, _u1161)))), c_Product__Type_OPair(_u1159, _u1161)))), _u1163), hAPP(hAPP(c_COMBC(_u1159, tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_fun(_u1161, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1161, tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_fun(_u1161, tc_HOL_Obool)), _u1159, c_COMBC(_u1161, tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1161, tc_prod(_u1159, _u1161)), tc_fun(_u1161, tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool)), _u1159, c_COMBB(tc_prod(_u1159, _u1161), tc_fun(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), tc_HOL_Obool), _u1161, c_member(tc_prod(_u1159, _u1161)))), c_Product__Type_OPair(_u1159, _u1161)))), _u1165)), _u1167), _u1169)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1159, _u1161)), hAPP(hAPP(c_Product__Type_OPair(_u1159, _u1161), _u1167), _u1169)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1159, _u1161), tc_HOL_Obool), _u1163, _u1165))) )).
% 43.94/44.12 cnf(matrix-522, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1160, _u1162)), hAPP(hAPP(c_Product__Type_OPair(_u1160, _u1162), _u1168), _u1170)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), _u1164, _u1166))) | hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1160, tc_fun(_u1162, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1160, tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_fun(_u1162, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1162, tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_fun(_u1162, tc_HOL_Obool)), _u1160, c_COMBC(_u1162, tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1162, tc_prod(_u1160, _u1162)), tc_fun(_u1162, tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), _u1160, c_COMBB(tc_prod(_u1160, _u1162), tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool), _u1162, c_member(tc_prod(_u1160, _u1162)))), c_Product__Type_OPair(_u1160, _u1162)))), _u1164), hAPP(hAPP(c_COMBC(_u1160, tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_fun(_u1162, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1162, tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_fun(_u1162, tc_HOL_Obool)), _u1160, c_COMBC(_u1162, tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u1162, tc_prod(_u1160, _u1162)), tc_fun(_u1162, tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool)), _u1160, c_COMBB(tc_prod(_u1160, _u1162), tc_fun(tc_fun(tc_prod(_u1160, _u1162), tc_HOL_Obool), tc_HOL_Obool), _u1162, c_member(tc_prod(_u1160, _u1162)))), c_Product__Type_OPair(_u1160, _u1162)))), _u1166)), _u1168), _u1170)) )).
% 43.94/44.12 cnf(matrix-523, plain, ( ( c_Predicate_Oconversep(_u1171, _u1172, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1171, tc_fun(_u1172, tc_HOL_Obool)), _u1173, _u1174)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1172, tc_fun(_u1171, tc_HOL_Obool)), c_Predicate_Oconversep(_u1171, _u1172, _u1173), c_Predicate_Oconversep(_u1171, _u1172, _u1174))) )).
% 43.94/44.12 cnf(matrix-524, plain, ( ( c_Relation_Oconverse(_u1175, _u1176, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1175, _u1176), tc_HOL_Obool), _u1177, _u1178)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1176, _u1175), tc_HOL_Obool), c_Relation_Oconverse(_u1175, _u1176, _u1177), c_Relation_Oconverse(_u1175, _u1176, _u1178))) )).
% 43.94/44.12 cnf(matrix-525, plain, ( ~c_Wellfounded_Oacyclic(_u1181, c_Relation_Oconverse(_u1181, _u1181, _u1183)) | c_Wellfounded_Oacyclic(_u1181, _u1183) )).
% 43.94/44.12 cnf(matrix-526, plain, ( ~c_Wellfounded_Oacyclic(_u1182, _u1184) | c_Wellfounded_Oacyclic(_u1182, c_Relation_Oconverse(_u1182, _u1182, _u1184)) )).
% 43.94/44.12 cnf(matrix-527, plain, ( ~class_Lattices_Osemilattice__inf(_u1185) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1185, c_Lattices_Osemilattice__inf__class_Oinf(_u1185, _u1186, _u1187), _u1188) = c_Lattices_Osemilattice__inf__class_Oinf(_u1185, _u1186, c_Lattices_Osemilattice__inf__class_Oinf(_u1185, _u1187, _u1188))) )).
% 43.94/44.12 cnf(matrix-528, plain, ( ~class_Lattices_Olattice(_u1189) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1189, c_Lattices_Osemilattice__inf__class_Oinf(_u1189, _u1190, _u1191), _u1192) = c_Lattices_Osemilattice__inf__class_Oinf(_u1189, _u1190, c_Lattices_Osemilattice__inf__class_Oinf(_u1189, _u1191, _u1192))) )).
% 43.94/44.12 cnf(matrix-529, plain, ( ~class_Lattices_Osemilattice__inf(_u1193) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1193, c_Lattices_Osemilattice__inf__class_Oinf(_u1193, _u1194, _u1195), _u1196) = c_Lattices_Osemilattice__inf__class_Oinf(_u1193, _u1194, c_Lattices_Osemilattice__inf__class_Oinf(_u1193, _u1195, _u1196))) )).
% 43.94/44.12 cnf(matrix-530, plain, ( ~class_Lattices_Osemilattice__inf(_u1197) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1197, _u1198, c_Lattices_Osemilattice__inf__class_Oinf(_u1197, _u1199, _u1200)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1197, _u1199, c_Lattices_Osemilattice__inf__class_Oinf(_u1197, _u1198, _u1200))) )).
% 43.94/44.12 cnf(matrix-531, plain, ( ~class_Lattices_Olattice(_u1201) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1201, _u1202, c_Lattices_Osemilattice__inf__class_Oinf(_u1201, _u1203, _u1204)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1201, _u1203, c_Lattices_Osemilattice__inf__class_Oinf(_u1201, _u1202, _u1204))) )).
% 43.94/44.12 cnf(matrix-532, plain, ( ~class_Lattices_Osemilattice__inf(_u1205) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1205, _u1206, c_Lattices_Osemilattice__inf__class_Oinf(_u1205, _u1207, _u1208)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1205, _u1207, c_Lattices_Osemilattice__inf__class_Oinf(_u1205, _u1206, _u1208))) )).
% 43.94/44.12 cnf(matrix-533, plain, ( ~class_Lattices_Osemilattice__inf(_u1209) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1209, _u1210, c_Lattices_Osemilattice__inf__class_Oinf(_u1209, _u1210, _u1211)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1209, _u1210, _u1211)) )).
% 43.94/44.12 cnf(matrix-534, plain, ( ~class_Lattices_Olattice(_u1212) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1212, _u1213, c_Lattices_Osemilattice__inf__class_Oinf(_u1212, _u1213, _u1214)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1212, _u1213, _u1214)) )).
% 43.94/44.12 cnf(matrix-535, plain, ( ~class_Lattices_Osemilattice__inf(_u1215) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1215, _u1216, c_Lattices_Osemilattice__inf__class_Oinf(_u1215, _u1216, _u1217)) = c_Lattices_Osemilattice__inf__class_Oinf(_u1215, _u1216, _u1217)) )).
% 43.94/44.12 cnf(matrix-536, plain, ( ~class_Lattices_Osemilattice__inf(_u1218) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1218, _u1219, _u1220) = c_Lattices_Osemilattice__inf__class_Oinf(_u1218, _u1220, _u1219)) )).
% 43.94/44.12 cnf(matrix-537, plain, ( ~class_Lattices_Olattice(_u1221) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1221, _u1222, _u1223) = c_Lattices_Osemilattice__inf__class_Oinf(_u1221, _u1223, _u1222)) )).
% 43.94/44.12 cnf(matrix-538, plain, ( ~class_Lattices_Osemilattice__inf(_u1224) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1224, _u1225, _u1226) = c_Lattices_Osemilattice__inf__class_Oinf(_u1224, _u1226, _u1225)) )).
% 43.94/44.12 cnf(matrix-539, plain, ( ~class_Lattices_Osemilattice__inf(_u1227) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1227, _u1228, _u1228) = _u1228) )).
% 43.94/44.12 cnf(matrix-540, plain, ( ~class_Lattices_Osemilattice__inf(_u1229) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1229, _u1230, _u1230) = _u1230) )).
% 43.94/44.12 cnf(matrix-541, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u1231, _u1231), tc_HOL_Obool), c_Relation_Oconverse(_u1231, _u1231, _u1232), c_Transitive__Closure_Ortrancl(_u1231, _u1232)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1231, _u1231), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1231, _u1231)), hAPP(hAPP(c_Product__Type_OPair(_u1231, _u1231), _u1233), _u1233)), c_Transitive__Closure_Otrancl(_u1231, _u1232))) )).
% 43.94/44.12 cnf(matrix-542, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u1235, _u1235)), hAPP(hAPP(c_Product__Type_OPair(_u1235, _u1235), skolem72(_u1236, _u1235)), skolem72(_u1236, _u1235))), c_Transitive__Closure_Otrancl(_u1235, _u1236))) | c_Wellfounded_Oacyclic(_u1235, _u1236) )).
% 43.94/44.12 cnf(matrix-543, plain, ( ~c_Wellfounded_Oacyclic(_u1241, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u1241, _u1241)), hAPP(hAPP(c_Product__Type_OPair(_u1241, _u1241), _u1243), _u1245)), _u1247)) | c_Wellfounded_Oacyclic(_u1241, _u1247) )).
% 43.94/44.12 cnf(matrix-544, plain, ( ~c_Wellfounded_Oacyclic(_u1241, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u1241, _u1241)), hAPP(hAPP(c_Product__Type_OPair(_u1241, _u1241), _u1243), _u1245)), _u1247)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1241, _u1241)), hAPP(hAPP(c_Product__Type_OPair(_u1241, _u1241), _u1245), _u1243)), c_Transitive__Closure_Ortrancl(_u1241, _u1247))) )).
% 43.94/44.12 cnf(matrix-545, plain, ( ~c_Wellfounded_Oacyclic(_u1242, _u1248) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1242, _u1242)), hAPP(hAPP(c_Product__Type_OPair(_u1242, _u1242), _u1246), _u1244)), c_Transitive__Closure_Ortrancl(_u1242, _u1248))) | c_Wellfounded_Oacyclic(_u1242, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u1242, _u1242)), hAPP(hAPP(c_Product__Type_OPair(_u1242, _u1242), _u1244), _u1246)), _u1248)) )).
% 43.94/44.12 cnf(matrix-546, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), _u1251), _u1252)), c_Transitive__Closure_Otrancl(_u1250, _u1253))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), _u1251), _u1252)), _u1253)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), _u1251), skolem73(_u1253, _u1252, _u1251, _u1250))), c_Transitive__Closure_Otrancl(_u1250, _u1253))) )).
% 43.94/44.12 cnf(matrix-547, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), _u1251), _u1252)), c_Transitive__Closure_Otrancl(_u1250, _u1253))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), _u1251), _u1252)), _u1253)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1250, _u1250)), hAPP(hAPP(c_Product__Type_OPair(_u1250, _u1250), skolem73(_u1253, _u1252, _u1251, _u1250)), _u1252)), _u1253)) )).
% 43.94/44.12 cnf(matrix-548, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), _u1256), _u1257)), c_Transitive__Closure_Otrancl(_u1255, _u1258))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), _u1256), _u1257)), _u1258)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), _u1256), skolem74(_u1258, _u1257, _u1256, _u1255))), _u1258)) )).
% 43.94/44.12 cnf(matrix-549, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), _u1256), _u1257)), c_Transitive__Closure_Otrancl(_u1255, _u1258))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), _u1256), _u1257)), _u1258)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1255, _u1255)), hAPP(hAPP(c_Product__Type_OPair(_u1255, _u1255), skolem74(_u1258, _u1257, _u1256, _u1255)), _u1257)), c_Transitive__Closure_Otrancl(_u1255, _u1258))) )).
% 43.94/44.12 cnf(matrix-550, plain, ( ~hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1259, tc_fun(_u1260, tc_HOL_Obool)), _u1261, _u1262), _u1263), _u1264)) | hBOOL(hAPP(hAPP(_u1261, _u1263), _u1264)) )).
% 43.94/44.12 cnf(matrix-551, plain, ( ~hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1259, tc_fun(_u1260, tc_HOL_Obool)), _u1261, _u1262), _u1263), _u1264)) | hBOOL(hAPP(hAPP(_u1262, _u1263), _u1264)) )).
% 43.94/44.12 cnf(matrix-552, plain, ( ~hBOOL(hAPP(hAPP(_u1265, _u1266), _u1267)) | ~hBOOL(hAPP(hAPP(_u1268, _u1266), _u1267)) | hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1269, tc_fun(_u1270, tc_HOL_Obool)), _u1265, _u1268), _u1266), _u1267)) )).
% 43.94/44.12 cnf(matrix-553, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1271), _u1272), c_Orderings_Obot__class_Obot(tc_fun(_u1271, tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-554, plain, ( hBOOL(hAPP(hAPP(c_member(_u1273), _u1274), hAPP(hAPP(c_Set_Oinsert(_u1273), _u1276), _u1275))) | ~hBOOL(hAPP(hAPP(c_member(_u1273), _u1274), _u1275)) )).
% 43.94/44.12 cnf(matrix-555, plain, ( hBOOL(hAPP(hAPP(c_member(_u1273), _u1274), hAPP(hAPP(c_Set_Oinsert(_u1273), _u1276), _u1275))) | ( _u1274 != _u1276) )).
% 43.94/44.12 cnf(matrix-556, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1277), _u1278), hAPP(hAPP(c_Set_Oinsert(_u1277), _u1279), _u1280))) | ( _u1278 = _u1279) | hBOOL(hAPP(hAPP(c_member(_u1277), _u1278), _u1280)) )).
% 43.94/44.12 cnf(matrix-557, plain, ( hBOOL(hAPP(hAPP(_u1284, _u1285), _u1286)) | ~hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1281, tc_fun(_u1282, tc_HOL_Obool)), _u1283, _u1284), _u1285), _u1286)) )).
% 43.94/44.12 cnf(matrix-558, plain, ( hBOOL(hAPP(hAPP(_u1289, _u1291), _u1292)) | ~hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1287, tc_fun(_u1288, tc_HOL_Obool)), _u1289, _u1290), _u1291), _u1292)) )).
% 43.94/44.12 cnf(matrix-559, plain, ( ( c_Relation_ODomain(_u1293, _u1294, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u1293, _u1294)), hAPP(hAPP(c_Product__Type_OPair(_u1293, _u1294), _u1295), _u1296)), _u1297)) = hAPP(hAPP(c_Set_Oinsert(_u1293), _u1295), c_Relation_ODomain(_u1293, _u1294, _u1297))) )).
% 43.94/44.12 cnf(matrix-560, plain, ( ( c_Relation_ORange(_u1298, _u1299, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u1298, _u1299)), hAPP(hAPP(c_Product__Type_OPair(_u1298, _u1299), _u1300), _u1301)), _u1302)) = hAPP(hAPP(c_Set_Oinsert(_u1299), _u1301), c_Relation_ORange(_u1298, _u1299, _u1302))) )).
% 43.94/44.12 cnf(matrix-561, plain, ( hBOOL(hAPP(hAPP(c_member(_u1303), _u1304), hAPP(hAPP(c_Set_Oinsert(_u1303), _u1304), _u1305))) )).
% 43.94/44.12 cnf(matrix-562, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1310), _u1312), hAPP(hAPP(c_Set_Oinsert(_u1310), _u1314), _u1316))) | ( _u1312 = _u1314) | hBOOL(hAPP(hAPP(c_member(_u1310), _u1312), _u1316)) )).
% 43.94/44.12 cnf(matrix-563, plain, ( hBOOL(hAPP(hAPP(c_member(_u1311), _u1313), hAPP(hAPP(c_Set_Oinsert(_u1311), _u1315), _u1317))) | ( _u1313 != _u1315) )).
% 43.94/44.12 cnf(matrix-564, plain, ( hBOOL(hAPP(hAPP(c_member(_u1311), _u1313), hAPP(hAPP(c_Set_Oinsert(_u1311), _u1315), _u1317))) | ~hBOOL(hAPP(hAPP(c_member(_u1311), _u1313), _u1317)) )).
% 43.94/44.12 cnf(matrix-565, plain, ( hBOOL(hAPP(hAPP(c_member(_u1318), _u1319), _u1320)) | hBOOL(hAPP(hAPP(c_member(_u1318), _u1319), _u1321)) | ( hAPP(hAPP(c_Set_Oinsert(_u1318), _u1319), _u1320) != hAPP(hAPP(c_Set_Oinsert(_u1318), _u1319), _u1321)) | ( _u1320 = _u1321) )).
% 43.94/44.12 cnf(matrix-566, plain, ( hBOOL(hAPP(hAPP(c_member(_u1318), _u1319), _u1320)) | hBOOL(hAPP(hAPP(c_member(_u1318), _u1319), _u1321)) | ( _u1320 != _u1321) | ( hAPP(hAPP(c_Set_Oinsert(_u1318), _u1319), _u1320) = hAPP(hAPP(c_Set_Oinsert(_u1318), _u1319), _u1321)) )).
% 43.94/44.12 cnf(matrix-567, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1322), _u1323), _u1324)) | hBOOL(hAPP(hAPP(c_member(_u1322), _u1323), hAPP(hAPP(c_Set_Oinsert(_u1322), _u1325), _u1324))) )).
% 43.94/44.12 cnf(matrix-568, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1326), _u1327), _u1328)) | ( hAPP(hAPP(c_Set_Oinsert(_u1326), _u1327), _u1328) = _u1328) )).
% 43.94/44.12 cnf(matrix-569, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1329, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1329), _u1330), _u1331), hAPP(hAPP(c_Set_Oinsert(_u1329), _u1330), _u1332)) = hAPP(hAPP(c_Set_Oinsert(_u1329), _u1330), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1329, tc_HOL_Obool), _u1331, _u1332))) )).
% 43.94/44.12 cnf(matrix-570, plain, ( hBOOL(hAPP(hAPP(c_member(_u1337), skolem75(_u1339, _u1337)), _u1339)) | ( _u1339 = c_Orderings_Obot__class_Obot(tc_fun(_u1337, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-571, plain, ( ( _u1340 != c_Orderings_Obot__class_Obot(tc_fun(_u1338, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1338), _u1334), _u1340)) )).
% 43.94/44.12 cnf(matrix-572, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1345), _u1341), _u1347)) | ( _u1347 != c_Orderings_Obot__class_Obot(tc_fun(_u1345, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-573, plain, ( ( _u1348 = c_Orderings_Obot__class_Obot(tc_fun(_u1346, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1346), skolem76(_u1348, _u1346)), _u1348)) )).
% 43.94/44.12 cnf(matrix-574, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1349), _u1350), c_Orderings_Obot__class_Obot(tc_fun(_u1349, tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-575, plain, ( ( _u1351 != c_Orderings_Obot__class_Obot(tc_fun(_u1352, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1352), _u1353), _u1351)) )).
% 43.94/44.12 cnf(matrix-576, plain, ( ( _u1354 = c_Orderings_Obot__class_Obot(tc_fun(_u1355, tc_HOL_Obool))) | ( c_FuncSet_Oextensional__funcset(_u1355, _u1356, _u1354, c_Orderings_Obot__class_Obot(tc_fun(_u1356, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1355, _u1356), tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-577, plain, ( ( c_FuncSet_OPi(_u1363, _u1365, _u1367, _u1369) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1363, _u1365), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1363), skolem77(_u1369, _u1367, _u1365, _u1363)), _u1367)) )).
% 43.94/44.12 cnf(matrix-578, plain, ( ( c_FuncSet_OPi(_u1363, _u1365, _u1367, _u1369) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1363, _u1365), tc_HOL_Obool))) | ( hAPP(_u1369, skolem77(_u1369, _u1367, _u1365, _u1363)) = c_Orderings_Obot__class_Obot(tc_fun(_u1365, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-579, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1364), _u1358), _u1368)) | ( hAPP(_u1370, _u1358) != c_Orderings_Obot__class_Obot(tc_fun(_u1366, tc_HOL_Obool))) | ( c_FuncSet_OPi(_u1364, _u1366, _u1368, _u1370) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1364, _u1366), tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-580, plain, ( ( c_Relation_OId__on(_u1371, c_Orderings_Obot__class_Obot(tc_fun(_u1371, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1371, _u1371), tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-581, plain, ( ( _u1373 = _u1374) | ~hBOOL(hAPP(hAPP(c_member(_u1372), _u1373), hAPP(hAPP(c_Set_Oinsert(_u1372), _u1374), c_Orderings_Obot__class_Obot(tc_fun(_u1372, tc_HOL_Obool))))) )).
% 43.94/44.12 cnf(matrix-582, plain, ( ( _u1380 = _u1382) | ~hBOOL(hAPP(hAPP(c_member(_u1378), _u1380), hAPP(hAPP(c_Set_Oinsert(_u1378), _u1382), c_Orderings_Obot__class_Obot(tc_fun(_u1378, tc_HOL_Obool))))) )).
% 43.94/44.12 cnf(matrix-583, plain, ( ( _u1381 != _u1383) | hBOOL(hAPP(hAPP(c_member(_u1379), _u1381), hAPP(hAPP(c_Set_Oinsert(_u1379), _u1383), c_Orderings_Obot__class_Obot(tc_fun(_u1379, tc_HOL_Obool))))) )).
% 43.94/44.12 cnf(matrix-584, plain, ( ( _u1385 = _u1386) | ( hAPP(hAPP(c_Set_Oinsert(_u1384), _u1385), c_Orderings_Obot__class_Obot(tc_fun(_u1384, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u1384), _u1386), c_Orderings_Obot__class_Obot(tc_fun(_u1384, tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-585, plain, ( ( _u1393 = _u1397) | hBOOL(hAPP(_u1395, _u1397)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u1391), _u1393), _u1395), _u1397)) )).
% 43.94/44.12 cnf(matrix-586, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u1392), _u1394), _u1396), _u1398)) | ( _u1394 != _u1398) )).
% 43.94/44.12 cnf(matrix-587, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u1392), _u1394), _u1396), _u1398)) | ~hBOOL(hAPP(_u1396, _u1398)) )).
% 43.94/44.12 cnf(matrix-588, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1404), _u1406), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1408), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u1404), _u1410), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1412), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool))))) | ( _u1406 = _u1410) | ( _u1406 = _u1412) )).
% 43.94/44.12 cnf(matrix-589, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1404), _u1406), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1408), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u1404), _u1410), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1412), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool))))) | ( _u1406 = _u1410) | ( _u1408 = _u1410) )).
% 43.94/44.12 cnf(matrix-590, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1404), _u1406), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1408), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u1404), _u1410), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1412), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool))))) | ( _u1408 = _u1412) | ( _u1406 = _u1412) )).
% 43.94/44.12 cnf(matrix-591, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1404), _u1406), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1408), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u1404), _u1410), hAPP(hAPP(c_Set_Oinsert(_u1404), _u1412), c_Orderings_Obot__class_Obot(tc_fun(_u1404, tc_HOL_Obool))))) | ( _u1408 = _u1412) | ( _u1408 = _u1410) )).
% 43.94/44.12 cnf(matrix-592, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1405), _u1407), hAPP(hAPP(c_Set_Oinsert(_u1405), _u1409), c_Orderings_Obot__class_Obot(tc_fun(_u1405, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u1405), _u1411), hAPP(hAPP(c_Set_Oinsert(_u1405), _u1413), c_Orderings_Obot__class_Obot(tc_fun(_u1405, tc_HOL_Obool))))) | ( _u1407 != _u1411) | ( _u1409 != _u1413) )).
% 43.94/44.12 cnf(matrix-593, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1405), _u1407), hAPP(hAPP(c_Set_Oinsert(_u1405), _u1409), c_Orderings_Obot__class_Obot(tc_fun(_u1405, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u1405), _u1411), hAPP(hAPP(c_Set_Oinsert(_u1405), _u1413), c_Orderings_Obot__class_Obot(tc_fun(_u1405, tc_HOL_Obool))))) | ( _u1407 != _u1413) | ( _u1409 != _u1411) )).
% 43.94/44.12 cnf(matrix-594, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1414), _u1415), hAPP(hAPP(c_Set_Oinsert(_u1414), _u1416), _u1417)) = hAPP(hAPP(c_Set_Oinsert(_u1414), _u1416), hAPP(hAPP(c_Set_Oinsert(_u1414), _u1415), _u1417))) )).
% 43.94/44.12 cnf(matrix-595, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1418), _u1419), hAPP(hAPP(c_Set_Oinsert(_u1418), _u1419), _u1420)) = hAPP(hAPP(c_Set_Oinsert(_u1418), _u1419), _u1420)) )).
% 43.94/44.12 cnf(matrix-596, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1421), _u1422), _u1423) != c_Orderings_Obot__class_Obot(tc_fun(_u1421, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-597, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u1424, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u1424), _u1425), _u1426)) )).
% 43.94/44.12 cnf(matrix-598, plain, ( ( c_Relation_ORange(_u1427, _u1428, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1427, _u1428), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1428, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-599, plain, ( ( c_Relation_ORange(_u1432, _u1434, _u1436) != c_Orderings_Obot__class_Obot(tc_fun(_u1434, tc_HOL_Obool))) | ( _u1436 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1432, _u1434), tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-600, plain, ( ( _u1437 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1433, _u1435), tc_HOL_Obool))) | ( c_Relation_ORange(_u1433, _u1435, _u1437) = c_Orderings_Obot__class_Obot(tc_fun(_u1435, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-601, plain, ( ( c_Relation_ODomain(_u1438, _u1439, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1438, _u1439), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1438, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-602, plain, ( ( c_Relation_ODomain(_u1443, _u1445, _u1447) != c_Orderings_Obot__class_Obot(tc_fun(_u1443, tc_HOL_Obool))) | ( _u1447 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1443, _u1445), tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-603, plain, ( ( _u1448 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1444, _u1446), tc_HOL_Obool))) | ( c_Relation_ODomain(_u1444, _u1446, _u1448) = c_Orderings_Obot__class_Obot(tc_fun(_u1444, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-604, plain, ( c_Relation_Orefl__on(_u1449, c_Orderings_Obot__class_Obot(tc_fun(_u1449, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1449, _u1449), tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-605, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1457, tc_HOL_Obool), _u1459, _u1461) != c_Orderings_Obot__class_Obot(tc_fun(_u1457, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1457), _u1451), _u1459)) | ~hBOOL(hAPP(hAPP(c_member(_u1457), _u1450), _u1461)) | ( _u1451 != _u1450) )).
% 43.94/44.12 cnf(matrix-606, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1458, tc_HOL_Obool), _u1460, _u1462) = c_Orderings_Obot__class_Obot(tc_fun(_u1458, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1458), skolem78(_u1462, _u1460, _u1458)), _u1460)) )).
% 43.94/44.12 cnf(matrix-607, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1458, tc_HOL_Obool), _u1460, _u1462) = c_Orderings_Obot__class_Obot(tc_fun(_u1458, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1458), skolem79(_u1462, _u1460, _u1458)), _u1462)) )).
% 43.94/44.12 cnf(matrix-608, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1458, tc_HOL_Obool), _u1460, _u1462) = c_Orderings_Obot__class_Obot(tc_fun(_u1458, tc_HOL_Obool))) | ( skolem78(_u1462, _u1460, _u1458) = skolem79(_u1462, _u1460, _u1458)) )).
% 43.94/44.12 cnf(matrix-609, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1463, tc_HOL_Obool), _u1464, c_Orderings_Obot__class_Obot(tc_fun(_u1463, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1463, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-610, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1465, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_u1465, tc_HOL_Obool)), _u1466) = c_Orderings_Obot__class_Obot(tc_fun(_u1465, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-611, plain, ( ( c_Transitive__Closure_Otrancl(_u1467, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1467, _u1467), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1467, _u1467), tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-612, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1470, tc_HOL_Obool)), _u1472)) | hBOOL(hAPP(hAPP(c_member(_u1470), _u1472), c_Orderings_Obot__class_Obot(tc_fun(_u1470, tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-613, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1471), _u1473), c_Orderings_Obot__class_Obot(tc_fun(_u1471, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1471, tc_HOL_Obool)), _u1473)) )).
% 43.94/44.12 cnf(matrix-614, plain, ( c_Relation_Ototal__on(_u1474, c_Orderings_Obot__class_Obot(tc_fun(_u1474, tc_HOL_Obool)), _u1475) )).
% 43.94/44.12 cnf(matrix-615, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1476) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1476, _u1477, c_Orderings_Obot__class_Obot(_u1476)) = c_Orderings_Obot__class_Obot(_u1476)) )).
% 43.94/44.12 cnf(matrix-616, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1478) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u1478, c_Orderings_Obot__class_Obot(_u1478), _u1479) = c_Orderings_Obot__class_Obot(_u1478)) )).
% 43.94/44.12 cnf(matrix-617, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1480), _u1481), _u1482)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1480, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1480), _u1481), _u1483), _u1482) = hAPP(hAPP(c_Set_Oinsert(_u1480), _u1481), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1480, tc_HOL_Obool), _u1483, _u1482))) )).
% 43.94/44.12 cnf(matrix-618, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1484), _u1485), _u1486)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1484, tc_HOL_Obool), _u1486, hAPP(hAPP(c_Set_Oinsert(_u1484), _u1485), _u1487)) = hAPP(hAPP(c_Set_Oinsert(_u1484), _u1485), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1484, tc_HOL_Obool), _u1486, _u1487))) )).
% 43.94/44.12 cnf(matrix-619, plain, ( hBOOL(hAPP(hAPP(c_member(_u1488), _u1489), _u1490)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1488, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1488), _u1489), _u1491), _u1490) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1488, tc_HOL_Obool), _u1491, _u1490)) )).
% 43.94/44.12 cnf(matrix-620, plain, ( hBOOL(hAPP(hAPP(c_member(_u1492), _u1493), _u1494)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1492, tc_HOL_Obool), _u1494, hAPP(hAPP(c_Set_Oinsert(_u1492), _u1493), _u1495)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1492, tc_HOL_Obool), _u1494, _u1495)) )).
% 43.94/44.12 cnf(matrix-621, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1500), _u1502), _u1504)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1500, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1500), _u1502), _u1506), _u1504) = hAPP(hAPP(c_Set_Oinsert(_u1500), _u1502), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1500, tc_HOL_Obool), _u1506, _u1504))) )).
% 43.94/44.12 cnf(matrix-622, plain, ( hBOOL(hAPP(hAPP(c_member(_u1501), _u1503), _u1505)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1501, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1501), _u1503), _u1507), _u1505) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1501, tc_HOL_Obool), _u1507, _u1505)) )).
% 43.94/44.12 cnf(matrix-623, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1512), _u1514), _u1516)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1512, tc_HOL_Obool), _u1516, hAPP(hAPP(c_Set_Oinsert(_u1512), _u1514), _u1518)) = hAPP(hAPP(c_Set_Oinsert(_u1512), _u1514), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1512, tc_HOL_Obool), _u1516, _u1518))) )).
% 43.94/44.12 cnf(matrix-624, plain, ( hBOOL(hAPP(hAPP(c_member(_u1513), _u1515), _u1517)) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool), _u1517, hAPP(hAPP(c_Set_Oinsert(_u1513), _u1515), _u1519)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool), _u1517, _u1519)) )).
% 43.94/44.12 cnf(matrix-625, plain, ( ( c_Set_Othe__elem(_u1520, hAPP(hAPP(c_Set_Oinsert(_u1520), _u1521), c_Orderings_Obot__class_Obot(tc_fun(_u1520, tc_HOL_Obool)))) = _u1521) )).
% 43.94/44.12 cnf(matrix-626, plain, ( ~class_Orderings_Obot(_u1522) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1523, _u1522)), _u1524) = c_Orderings_Obot__class_Obot(_u1522)) )).
% 43.94/44.12 cnf(matrix-627, plain, ( ~class_Orderings_Obot(_u1525) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1526, _u1525)), _u1527) = c_Orderings_Obot__class_Obot(_u1525)) )).
% 43.94/44.12 cnf(matrix-628, plain, ( hBOOL(hAPP(hAPP(c_member(_u1528), _u1529), _u1530)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1528, _u1531)), _u1532), c_FuncSet_Oextensional__funcset(_u1528, _u1531, hAPP(hAPP(c_Set_Oinsert(_u1528), _u1529), _u1530), _u1533))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1528, _u1531)), c_Fun_Ofun__upd(_u1528, _u1531, _u1532, _u1529, c_HOL_Oundefined(_u1531))), c_FuncSet_Oextensional__funcset(_u1528, _u1531, _u1530, _u1533))) )).
% 43.94/44.12 cnf(matrix-629, plain, ( ( c_FuncSet_Oextensional__funcset(_u1534, _u1535, c_Orderings_Obot__class_Obot(tc_fun(_u1534, tc_HOL_Obool)), _u1536) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1534, _u1535)), c_COMBK(_u1535, _u1534, c_HOL_Oundefined(_u1535))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1534, _u1535), tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-630, plain, ( ( c_FuncSet_Oextensional(_u1537, _u1538, c_Orderings_Obot__class_Obot(tc_fun(_u1537, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1537, _u1538)), c_COMBK(_u1538, _u1537, c_HOL_Oundefined(_u1538))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1537, _u1538), tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1543, tc_fun(_u1545, tc_HOL_Obool))), _u1547), _u1549)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1543, _u1545)), hAPP(hAPP(c_Product__Type_OPair(_u1543, _u1545), _u1547), _u1549)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1543, _u1545), tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-632, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1544, _u1546)), hAPP(hAPP(c_Product__Type_OPair(_u1544, _u1546), _u1548), _u1550)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u1544, _u1546), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1544, tc_fun(_u1546, tc_HOL_Obool))), _u1548), _u1550)) )).
% 43.94/44.12 cnf(matrix-633, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1551), _u1552), _u1553)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1554, _u1551)), _u1555), c_FuncSet_Oextensional__funcset(_u1554, _u1551, _u1556, _u1553))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1554, _u1551)), c_Fun_Ofun__upd(_u1554, _u1551, _u1555, _u1557, _u1552)), c_FuncSet_Oextensional__funcset(_u1554, _u1551, hAPP(hAPP(c_Set_Oinsert(_u1554), _u1557), _u1556), _u1553))) )).
% 43.94/44.12 cnf(matrix-634, plain, ( ( c_Fun_Ofun__upd(_u1558, _u1559, _u1560, _u1561, hAPP(_u1560, _u1561)) = _u1560) )).
% 43.94/44.12 cnf(matrix-635, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1562), _u1563), _u1564)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1565, _u1562)), _u1566), c_FuncSet_Oextensional__funcset(_u1565, _u1562, _u1567, c_Groups_Ominus__class_Ominus(tc_fun(_u1562, tc_HOL_Obool), _u1564, hAPP(hAPP(c_Set_Oinsert(_u1562), _u1563), c_Orderings_Obot__class_Obot(tc_fun(_u1562, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1565, _u1562)), c_Fun_Ofun__upd(_u1565, _u1562, _u1566, _u1568, _u1563)), c_FuncSet_Oextensional__funcset(_u1565, _u1562, hAPP(hAPP(c_Set_Oinsert(_u1565), _u1568), _u1567), _u1564))) )).
% 43.94/44.12 cnf(matrix-636, plain, ( ( c_Set_Othe__elem(_u1569, _u1570) = c_HOL_OThe(_u1569, hAPP(c_COMBB(tc_fun(_u1569, tc_HOL_Obool), tc_HOL_Obool, _u1569, hAPP(c_fequal, _u1570)), hAPP(hAPP(c_COMBC(_u1569, tc_fun(_u1569, tc_HOL_Obool), tc_fun(_u1569, tc_HOL_Obool)), c_Set_Oinsert(_u1569)), c_Orderings_Obot__class_Obot(tc_fun(_u1569, tc_HOL_Obool)))))) )).
% 43.94/44.12 cnf(matrix-637, plain, ( ( _u1577 != _u1579) | ( hAPP(c_Fun_Ofun__upd(_u1581, _u1583, _u1585, _u1579, _u1587), _u1577) = _u1587) )).
% 43.94/44.12 cnf(matrix-638, plain, ( ( _u1578 = _u1580) | ( hAPP(c_Fun_Ofun__upd(_u1582, _u1584, _u1586, _u1580, _u1588), _u1578) = hAPP(_u1586, _u1578)) )).
% 43.94/44.12 cnf(matrix-639, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1589), _u1590), _u1591)) | hBOOL(hAPP(hAPP(c_member(_u1589), _u1590), _u1592)) | hBOOL(hAPP(hAPP(c_member(_u1589), _u1590), c_Groups_Ominus__class_Ominus(tc_fun(_u1589, tc_HOL_Obool), _u1591, _u1592))) )).
% 43.94/44.12 cnf(matrix-640, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1593), _u1594), c_Groups_Ominus__class_Ominus(tc_fun(_u1593, tc_HOL_Obool), _u1595, _u1596))) | hBOOL(hAPP(hAPP(c_member(_u1593), _u1594), _u1595)) )).
% 43.94/44.12 cnf(matrix-641, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1593), _u1594), c_Groups_Ominus__class_Ominus(tc_fun(_u1593, tc_HOL_Obool), _u1595, _u1596))) | ~hBOOL(hAPP(hAPP(c_member(_u1593), _u1594), _u1596)) )).
% 43.94/44.12 cnf(matrix-642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1597, tc_fun(_u1598, tc_HOL_Obool))), _u1599), _u1600)) )).
% 43.94/44.12 cnf(matrix-643, plain, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1601, tc_HOL_Obool), _u1602, _u1602) = c_Orderings_Obot__class_Obot(tc_fun(_u1601, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-644, plain, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1603, tc_HOL_Obool), _u1604, c_Orderings_Obot__class_Obot(tc_fun(_u1603, tc_HOL_Obool))) = _u1604) )).
% 43.94/44.12 cnf(matrix-645, plain, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1605, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_u1605, tc_HOL_Obool)), _u1606) = c_Orderings_Obot__class_Obot(tc_fun(_u1605, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-646, plain, ( ~class_Groups_Ominus(_u1607) | ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1608, _u1607), _u1609, _u1610), _u1611) = c_Groups_Ominus__class_Ominus(_u1607, hAPP(_u1609, _u1611), hAPP(_u1610, _u1611))) )).
% 43.94/44.12 cnf(matrix-647, plain, ( ~class_Groups_Ominus(_u1612) | ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1613, _u1612), _u1614, _u1615), _u1616) = c_Groups_Ominus__class_Ominus(_u1612, hAPP(_u1614, _u1616), hAPP(_u1615, _u1616))) )).
% 43.94/44.12 cnf(matrix-648, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1621), _u1623), c_Groups_Ominus__class_Ominus(tc_fun(_u1621, tc_HOL_Obool), _u1625, _u1627))) | hBOOL(hAPP(hAPP(c_member(_u1621), _u1623), _u1625)) )).
% 43.94/44.12 cnf(matrix-649, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1621), _u1623), c_Groups_Ominus__class_Ominus(tc_fun(_u1621, tc_HOL_Obool), _u1625, _u1627))) | ~hBOOL(hAPP(hAPP(c_member(_u1621), _u1623), _u1627)) )).
% 43.94/44.12 cnf(matrix-650, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1622), _u1624), _u1626)) | hBOOL(hAPP(hAPP(c_member(_u1622), _u1624), _u1628)) | hBOOL(hAPP(hAPP(c_member(_u1622), _u1624), c_Groups_Ominus__class_Ominus(tc_fun(_u1622, tc_HOL_Obool), _u1626, _u1628))) )).
% 43.94/44.12 cnf(matrix-651, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1629), _u1630), c_Groups_Ominus__class_Ominus(tc_fun(_u1629, tc_HOL_Obool), _u1631, _u1632))) | hBOOL(hAPP(hAPP(c_member(_u1629), _u1630), _u1631)) )).
% 43.94/44.12 cnf(matrix-652, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1633), _u1634), c_Groups_Ominus__class_Ominus(tc_fun(_u1633, tc_HOL_Obool), _u1635, _u1636))) | ~hBOOL(hAPP(hAPP(c_member(_u1633), _u1634), _u1636)) )).
% 43.94/44.12 cnf(matrix-653, plain, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1637, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u1637, tc_HOL_Obool), _u1638, _u1639), _u1639) = c_Groups_Ominus__class_Ominus(tc_fun(_u1637, tc_HOL_Obool), _u1638, _u1639)) )).
% 43.94/44.12 cnf(matrix-654, plain, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1640, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1640, tc_HOL_Obool), _u1641, _u1642), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1640, tc_HOL_Obool), _u1643, _u1642)) = c_Groups_Ominus__class_Ominus(tc_fun(_u1640, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1640, tc_HOL_Obool), _u1641, _u1642), _u1643)) )).
% 43.94/44.12 cnf(matrix-655, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1644, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u1644, tc_HOL_Obool), _u1645, _u1646), _u1647) = c_Groups_Ominus__class_Ominus(tc_fun(_u1644, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1644, tc_HOL_Obool), _u1645, _u1647), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1644, tc_HOL_Obool), _u1646, _u1647))) )).
% 43.94/44.12 cnf(matrix-656, plain, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1648, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1648, tc_HOL_Obool), _u1649, _u1650), _u1651) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1648, tc_HOL_Obool), _u1649, c_Groups_Ominus__class_Ominus(tc_fun(_u1648, tc_HOL_Obool), _u1650, _u1651))) )).
% 43.94/44.12 cnf(matrix-657, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1652, tc_HOL_Obool), _u1653, c_Groups_Ominus__class_Ominus(tc_fun(_u1652, tc_HOL_Obool), _u1654, _u1655)) = c_Groups_Ominus__class_Ominus(tc_fun(_u1652, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1652, tc_HOL_Obool), _u1653, _u1654), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1652, tc_HOL_Obool), _u1653, _u1655))) )).
% 43.94/44.12 cnf(matrix-658, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1656), _u1657), _u1658)) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u1656, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1656), _u1657), _u1659), _u1658) = c_Groups_Ominus__class_Ominus(tc_fun(_u1656, tc_HOL_Obool), _u1659, _u1658)) )).
% 43.94/44.12 cnf(matrix-659, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1664), _u1666), _u1668)) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u1664, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1664), _u1666), _u1670), _u1668) = c_Groups_Ominus__class_Ominus(tc_fun(_u1664, tc_HOL_Obool), _u1670, _u1668)) )).
% 43.94/44.12 cnf(matrix-660, plain, ( hBOOL(hAPP(hAPP(c_member(_u1665), _u1667), _u1669)) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u1665, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1665), _u1667), _u1671), _u1669) = hAPP(hAPP(c_Set_Oinsert(_u1665), _u1667), c_Groups_Ominus__class_Ominus(tc_fun(_u1665, tc_HOL_Obool), _u1671, _u1669))) )).
% 43.94/44.12 cnf(matrix-661, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1672), _u1673), c_Groups_Ominus__class_Ominus(tc_fun(_u1672, tc_HOL_Obool), _u1674, hAPP(hAPP(c_Set_Oinsert(_u1672), _u1673), c_Orderings_Obot__class_Obot(tc_fun(_u1672, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u1672), _u1673), _u1674)) )).
% 43.94/44.12 cnf(matrix-662, plain, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1675, tc_HOL_Obool), _u1676, hAPP(hAPP(c_Set_Oinsert(_u1675), _u1677), _u1678)) = c_Groups_Ominus__class_Ominus(tc_fun(_u1675, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u1675, tc_HOL_Obool), _u1676, hAPP(hAPP(c_Set_Oinsert(_u1675), _u1677), c_Orderings_Obot__class_Obot(tc_fun(_u1675, tc_HOL_Obool)))), _u1678)) )).
% 43.94/44.12 cnf(matrix-663, plain, ( ( c_Groups_Ominus__class_Ominus(tc_fun(_u1679, tc_HOL_Obool), _u1680, hAPP(hAPP(c_Set_Oinsert(_u1679), _u1681), _u1682)) = c_Groups_Ominus__class_Ominus(tc_fun(_u1679, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u1679, tc_HOL_Obool), _u1680, _u1682), hAPP(hAPP(c_Set_Oinsert(_u1679), _u1681), c_Orderings_Obot__class_Obot(tc_fun(_u1679, tc_HOL_Obool))))) )).
% 43.94/44.12 cnf(matrix-664, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1683, tc_HOL_Obool), _u1684, _u1685) != c_Orderings_Obot__class_Obot(tc_fun(_u1683, tc_HOL_Obool))) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u1683, tc_HOL_Obool), _u1684, _u1685) = _u1684) )).
% 43.94/44.12 cnf(matrix-665, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1686, tc_HOL_Obool), _u1687, c_Groups_Ominus__class_Ominus(tc_fun(_u1686, tc_HOL_Obool), _u1688, _u1687)) = c_Orderings_Obot__class_Obot(tc_fun(_u1686, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-666, plain, ( hBOOL(hAPP(hAPP(c_member(_u1689), _u1690), _u1691)) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u1689, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u1689), _u1690), _u1691), hAPP(hAPP(c_Set_Oinsert(_u1689), _u1690), c_Orderings_Obot__class_Obot(tc_fun(_u1689, tc_HOL_Obool)))) = _u1691) )).
% 43.94/44.12 cnf(matrix-667, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1692), _u1693), _u1694)) | ( hAPP(hAPP(c_Set_Oinsert(_u1692), _u1693), c_Groups_Ominus__class_Ominus(tc_fun(_u1692, tc_HOL_Obool), _u1694, hAPP(hAPP(c_Set_Oinsert(_u1692), _u1693), c_Orderings_Obot__class_Obot(tc_fun(_u1692, tc_HOL_Obool))))) = _u1694) )).
% 43.94/44.12 cnf(matrix-668, plain, ( ( hAPP(_u1704, _u1706) = _u1708) | ( c_Fun_Ofun__upd(_u1700, _u1702, _u1704, _u1706, _u1708) != _u1704) )).
% 43.94/44.12 cnf(matrix-669, plain, ( ( hAPP(_u1705, _u1707) != _u1709) | ( c_Fun_Ofun__upd(_u1701, _u1703, _u1705, _u1707, _u1709) = _u1705) )).
% 43.94/44.12 cnf(matrix-670, plain, ( ( c_Fun_Ofun__upd(_u1710, _u1711, c_Fun_Ofun__upd(_u1710, _u1711, _u1712, _u1713, _u1714), _u1713, _u1715) = c_Fun_Ofun__upd(_u1710, _u1711, _u1712, _u1713, _u1715)) )).
% 43.94/44.12 cnf(matrix-671, plain, ( ( hAPP(c_Fun_Ofun__upd(_u1716, _u1717, _u1718, _u1719, _u1720), _u1719) = _u1720) )).
% 43.94/44.12 cnf(matrix-672, plain, ( ( _u1727 != _u1729) | ( hAPP(c_Fun_Ofun__upd(_u1731, _u1733, _u1735, _u1729, _u1737), _u1727) = _u1737) )).
% 43.94/44.12 cnf(matrix-673, plain, ( ( _u1728 = _u1730) | ( hAPP(c_Fun_Ofun__upd(_u1732, _u1734, _u1736, _u1730, _u1738), _u1728) = hAPP(_u1736, _u1728)) )).
% 43.94/44.12 cnf(matrix-674, plain, ( ( _u1739 = _u1740) | ( c_Fun_Ofun__upd(_u1741, _u1742, c_Fun_Ofun__upd(_u1741, _u1742, _u1743, _u1739, _u1744), _u1740, _u1745) = c_Fun_Ofun__upd(_u1741, _u1742, c_Fun_Ofun__upd(_u1741, _u1742, _u1743, _u1740, _u1745), _u1739, _u1744)) )).
% 43.94/44.12 cnf(matrix-675, plain, ( ( _u1746 = _u1747) | ( hAPP(c_Fun_Ofun__upd(_u1748, _u1749, _u1750, _u1747, _u1751), _u1746) = hAPP(_u1750, _u1746)) )).
% 43.94/44.12 cnf(matrix-676, plain, ( ( hAPP(_u1752, _u1753) != _u1754) | ( c_Fun_Ofun__upd(_u1755, _u1756, _u1752, _u1753, _u1754) = _u1752) )).
% 43.94/44.12 cnf(matrix-677, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1758, _u1762)), _u1760), c_FuncSet_Oextensional__funcset(_u1758, _u1762, hAPP(hAPP(c_Set_Oinsert(_u1758), _u1761), _u1759), _u1763))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1758, _u1762)), c_Fun_Ofun__upd(_u1758, _u1762, _u1760, _u1761, c_HOL_Oundefined(_u1762))), c_FuncSet_Oextensional__funcset(_u1758, _u1762, _u1759, c_Groups_Ominus__class_Ominus(tc_fun(_u1762, tc_HOL_Obool), _u1763, hAPP(hAPP(c_Set_Oinsert(_u1762), hAPP(_u1760, _u1761)), c_Orderings_Obot__class_Obot(tc_fun(_u1762, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(_u1758), skolem80(_u1763, _u1762, _u1761, _u1760, _u1759, _u1758)), _u1759)) )).
% 43.94/44.12 cnf(matrix-678, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1758, _u1762)), _u1760), c_FuncSet_Oextensional__funcset(_u1758, _u1762, hAPP(hAPP(c_Set_Oinsert(_u1758), _u1761), _u1759), _u1763))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1758, _u1762)), c_Fun_Ofun__upd(_u1758, _u1762, _u1760, _u1761, c_HOL_Oundefined(_u1762))), c_FuncSet_Oextensional__funcset(_u1758, _u1762, _u1759, c_Groups_Ominus__class_Ominus(tc_fun(_u1762, tc_HOL_Obool), _u1763, hAPP(hAPP(c_Set_Oinsert(_u1762), hAPP(_u1760, _u1761)), c_Orderings_Obot__class_Obot(tc_fun(_u1762, tc_HOL_Obool))))))) | ( hAPP(_u1760, _u1761) = hAPP(_u1760, skolem80(_u1763, _u1762, _u1761, _u1760, _u1759, _u1758))) )).
% 43.94/44.12 cnf(matrix-679, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1764), _u1765), _u1766)) | ~c_Nitpick_Ofold__graph_H(_u1764, _u1767, _u1768, _u1769, c_Groups_Ominus__class_Ominus(tc_fun(_u1764, tc_HOL_Obool), _u1766, hAPP(hAPP(c_Set_Oinsert(_u1764), _u1765), c_Orderings_Obot__class_Obot(tc_fun(_u1764, tc_HOL_Obool)))), _u1770) | c_Nitpick_Ofold__graph_H(_u1764, _u1767, _u1768, _u1769, _u1766, hAPP(hAPP(_u1768, _u1765), _u1770)) )).
% 43.94/44.12 cnf(matrix-680, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1771, _u1772)), _u1773), c_FuncSet_Oextensional__funcset(_u1771, _u1772, _u1774, c_Groups_Ominus__class_Ominus(tc_fun(_u1772, tc_HOL_Obool), _u1775, hAPP(hAPP(c_Set_Oinsert(_u1772), _u1776), c_Orderings_Obot__class_Obot(tc_fun(_u1772, tc_HOL_Obool))))))) | ~c_Fun_Oinj__on(_u1771, _u1772, _u1773, _u1774) | c_Fun_Oinj__on(_u1771, _u1772, c_Fun_Ofun__upd(_u1771, _u1772, _u1773, _u1777, _u1776), _u1774) )).
% 43.94/44.12 cnf(matrix-681, plain, ( c_Fun_Oinj__on(_u1778, _u1779, _u1780, c_Orderings_Obot__class_Obot(tc_fun(_u1778, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-682, plain, ( ~c_Fun_Oinj__on(_u1781, _u1782, _u1783, _u1784) | ( hAPP(_u1783, _u1785) != hAPP(_u1783, _u1786)) | ~hBOOL(hAPP(hAPP(c_member(_u1781), _u1785), _u1784)) | ~hBOOL(hAPP(hAPP(c_member(_u1781), _u1786), _u1784)) | ( _u1785 = _u1786) )).
% 43.94/44.12 cnf(matrix-683, plain, ( ~c_Fun_Oinj__on(_u1787, _u1788, _u1789, _u1790) | ~hBOOL(hAPP(hAPP(c_member(_u1787), _u1791), _u1790)) | ~hBOOL(hAPP(hAPP(c_member(_u1787), _u1792), _u1790)) | ( hAPP(_u1789, _u1791) != hAPP(_u1789, _u1792)) | ( _u1791 = _u1792) )).
% 43.94/44.12 cnf(matrix-684, plain, ( ~c_Fun_Oinj__on(_u1787, _u1788, _u1789, _u1790) | ~hBOOL(hAPP(hAPP(c_member(_u1787), _u1791), _u1790)) | ~hBOOL(hAPP(hAPP(c_member(_u1787), _u1792), _u1790)) | ( _u1791 != _u1792) | ( hAPP(_u1789, _u1791) = hAPP(_u1789, _u1792)) )).
% 43.94/44.12 cnf(matrix-685, plain, ( ~c_Fun_Oinj__on(_u1793, _u1794, _u1795, _u1796) | ( _u1797 = _u1798) | ~hBOOL(hAPP(hAPP(c_member(_u1793), _u1797), _u1796)) | ~hBOOL(hAPP(hAPP(c_member(_u1793), _u1798), _u1796)) | ( hAPP(_u1795, _u1797) != hAPP(_u1795, _u1798)) )).
% 43.94/44.12 cnf(matrix-686, plain, ( c_Fun_Oinj__on(_u1799, _u1799, c_COMBI(_u1799), _u1800) )).
% 43.94/44.12 cnf(matrix-687, plain, ( ~c_Fun_Oinj__on(_u1809, _u1811, _u1813, _u1815) | ~hBOOL(hAPP(hAPP(c_member(_u1809), _u1802), _u1815)) | ~hBOOL(hAPP(hAPP(c_member(_u1809), _u1801), _u1815)) | ( hAPP(_u1813, _u1802) != hAPP(_u1813, _u1801)) | ( _u1802 = _u1801) )).
% 43.94/44.12 cnf(matrix-688, plain, ( c_Fun_Oinj__on(_u1810, _u1812, _u1814, _u1816) | hBOOL(hAPP(hAPP(c_member(_u1810), skolem81(_u1816, _u1814, _u1812, _u1810)), _u1816)) )).
% 43.94/44.12 cnf(matrix-689, plain, ( c_Fun_Oinj__on(_u1810, _u1812, _u1814, _u1816) | hBOOL(hAPP(hAPP(c_member(_u1810), skolem82(_u1816, _u1814, _u1812, _u1810)), _u1816)) )).
% 43.94/44.12 cnf(matrix-690, plain, ( c_Fun_Oinj__on(_u1810, _u1812, _u1814, _u1816) | ( hAPP(_u1814, skolem81(_u1816, _u1814, _u1812, _u1810)) = hAPP(_u1814, skolem82(_u1816, _u1814, _u1812, _u1810))) )).
% 43.94/44.12 cnf(matrix-691, plain, ( c_Fun_Oinj__on(_u1810, _u1812, _u1814, _u1816) | ( skolem81(_u1816, _u1814, _u1812, _u1810) != skolem82(_u1816, _u1814, _u1812, _u1810)) )).
% 43.94/44.12 cnf(matrix-692, plain, ( ~c_Fun_Oinj__on(_u1817, _u1818, _u1819, _u1820) | c_Fun_Oinj__on(_u1817, _u1818, _u1819, c_Groups_Ominus__class_Ominus(tc_fun(_u1817, tc_HOL_Obool), _u1820, _u1821)) )).
% 43.94/44.12 cnf(matrix-693, plain, ( ~c_Fun_Oinj__on(_u1822, _u1823, _u1824, _u1825) | ~c_Fun_Oinj__on(_u1822, _u1823, _u1824, _u1826) | c_Fun_Oinj__on(_u1822, _u1823, _u1824, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1822, tc_HOL_Obool), _u1825, _u1826)) )).
% 43.94/44.12 cnf(matrix-694, plain, ( ~c_Fun_Oinj__on(_u1831, _u1833, c_FuncSet_Orestrict(_u1831, _u1833, _u1835, _u1837), _u1837) | c_Fun_Oinj__on(_u1831, _u1833, _u1835, _u1837) )).
% 43.94/44.12 cnf(matrix-695, plain, ( ~c_Fun_Oinj__on(_u1832, _u1834, _u1836, _u1838) | c_Fun_Oinj__on(_u1832, _u1834, c_FuncSet_Orestrict(_u1832, _u1834, _u1836, _u1838), _u1838) )).
% 43.94/44.12 cnf(matrix-696, plain, ( c_Nitpick_Ofold__graph_H(_u1839, _u1840, _u1841, _u1842, c_Orderings_Obot__class_Obot(tc_fun(_u1839, tc_HOL_Obool)), _u1842) )).
% 43.94/44.12 cnf(matrix-697, plain, ( c_Nitpick_Ofold__graph_H(_u1843, _u1844, _u1845, _u1846, c_Orderings_Obot__class_Obot(tc_fun(_u1843, tc_HOL_Obool)), _u1846) )).
% 43.94/44.12 cnf(matrix-698, plain, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( _u1866 = c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1858), skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), _u1866)) )).
% 43.94/44.12 cnf(matrix-699, plain, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( _u1866 = c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool))) | ( hAPP(hAPP(_u1862, _u1868), _u1870) = hAPP(hAPP(_u1862, skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), skolem84(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858))) )).
% 43.94/44.12 cnf(matrix-700, plain, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( _u1866 = c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, c_Groups_Ominus__class_Ominus(tc_fun(_u1858, tc_HOL_Obool), _u1866, hAPP(hAPP(c_Set_Oinsert(_u1858), skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool)))), skolem84(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)) )).
% 43.94/44.12 cnf(matrix-701, plain, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( hAPP(hAPP(_u1862, _u1868), _u1870) = _u1864) | hBOOL(hAPP(hAPP(c_member(_u1858), skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), _u1866)) )).
% 43.94/44.12 cnf(matrix-702, plain, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( hAPP(hAPP(_u1862, _u1868), _u1870) = _u1864) | ( hAPP(hAPP(_u1862, _u1868), _u1870) = hAPP(hAPP(_u1862, skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), skolem84(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858))) )).
% 43.94/44.12 cnf(matrix-703, plain, ( ~c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, _u1866, hAPP(hAPP(_u1862, _u1868), _u1870)) | ( hAPP(hAPP(_u1862, _u1868), _u1870) = _u1864) | c_Nitpick_Ofold__graph_H(_u1858, _u1860, _u1862, _u1864, c_Groups_Ominus__class_Ominus(tc_fun(_u1858, tc_HOL_Obool), _u1866, hAPP(hAPP(c_Set_Oinsert(_u1858), skolem83(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)), c_Orderings_Obot__class_Obot(tc_fun(_u1858, tc_HOL_Obool)))), skolem84(_u1870, _u1868, _u1866, _u1864, _u1862, _u1860, _u1858)) )).
% 43.94/44.12 cnf(matrix-704, plain, ( c_Nitpick_Ofold__graph_H(_u1859, _u1861, _u1863, _u1865, _u1867, hAPP(hAPP(_u1863, _u1869), _u1871)) | ( _u1867 != c_Orderings_Obot__class_Obot(tc_fun(_u1859, tc_HOL_Obool))) | ( hAPP(hAPP(_u1863, _u1869), _u1871) != _u1865) )).
% 43.94/44.12 cnf(matrix-705, plain, ( c_Nitpick_Ofold__graph_H(_u1859, _u1861, _u1863, _u1865, _u1867, hAPP(hAPP(_u1863, _u1869), _u1871)) | ~hBOOL(hAPP(hAPP(c_member(_u1859), _u1850), _u1867)) | ( hAPP(hAPP(_u1863, _u1869), _u1871) != hAPP(hAPP(_u1863, _u1850), _u1849)) | ~c_Nitpick_Ofold__graph_H(_u1859, _u1861, _u1863, _u1865, c_Groups_Ominus__class_Ominus(tc_fun(_u1859, tc_HOL_Obool), _u1867, hAPP(hAPP(c_Set_Oinsert(_u1859), _u1850), c_Orderings_Obot__class_Obot(tc_fun(_u1859, tc_HOL_Obool)))), _u1849) )).
% 43.94/44.12 cnf(matrix-706, plain, ( ( c_HOL_OThe(_u1872, hAPP(c_fequal, _u1873)) = _u1873) )).
% 43.94/44.12 cnf(matrix-707, plain, ( ( c_HOL_OThe(_u1874, hAPP(hAPP(c_COMBC(_u1874, _u1874, tc_HOL_Obool), c_fequal), _u1875)) = _u1875) )).
% 43.94/44.12 cnf(matrix-708, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1881), _u1883), hAPP(c_Relation_OImage(_u1885, _u1881, _u1887), hAPP(hAPP(c_Set_Oinsert(_u1885), _u1889), c_Orderings_Obot__class_Obot(tc_fun(_u1885, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u1885, _u1881)), hAPP(hAPP(c_Product__Type_OPair(_u1885, _u1881), _u1889), _u1883)), _u1887)) )).
% 43.94/44.12 cnf(matrix-709, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u1886, _u1882)), hAPP(hAPP(c_Product__Type_OPair(_u1886, _u1882), _u1890), _u1884)), _u1888)) | hBOOL(hAPP(hAPP(c_member(_u1882), _u1884), hAPP(c_Relation_OImage(_u1886, _u1882, _u1888), hAPP(hAPP(c_Set_Oinsert(_u1886), _u1890), c_Orderings_Obot__class_Obot(tc_fun(_u1886, tc_HOL_Obool)))))) )).
% 43.94/44.12 cnf(matrix-710, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1897), _u1899), _u1901)) | ( c_Set_Oimage(_u1897, _u1903, c_Fun_Ofun__upd(_u1897, _u1903, _u1905, _u1899, _u1907), _u1901) = hAPP(hAPP(c_Set_Oinsert(_u1903), _u1907), c_Set_Oimage(_u1897, _u1903, _u1905, c_Groups_Ominus__class_Ominus(tc_fun(_u1897, tc_HOL_Obool), _u1901, hAPP(hAPP(c_Set_Oinsert(_u1897), _u1899), c_Orderings_Obot__class_Obot(tc_fun(_u1897, tc_HOL_Obool))))))) )).
% 43.94/44.12 cnf(matrix-711, plain, ( hBOOL(hAPP(hAPP(c_member(_u1898), _u1900), _u1902)) | ( c_Set_Oimage(_u1898, _u1904, c_Fun_Ofun__upd(_u1898, _u1904, _u1906, _u1900, _u1908), _u1902) = c_Set_Oimage(_u1898, _u1904, _u1906, _u1902)) )).
% 43.94/44.12 cnf(matrix-712, plain, ( ~c_Fun_Oinj__on(_u1914, _u1916, _u1918, hAPP(hAPP(c_Set_Oinsert(_u1914), _u1920), _u1922)) | c_Fun_Oinj__on(_u1914, _u1916, _u1918, _u1922) )).
% 43.94/44.12 cnf(matrix-713, plain, ( ~c_Fun_Oinj__on(_u1914, _u1916, _u1918, hAPP(hAPP(c_Set_Oinsert(_u1914), _u1920), _u1922)) | ~hBOOL(hAPP(hAPP(c_member(_u1916), hAPP(_u1918, _u1920)), c_Set_Oimage(_u1914, _u1916, _u1918, c_Groups_Ominus__class_Ominus(tc_fun(_u1914, tc_HOL_Obool), _u1922, hAPP(hAPP(c_Set_Oinsert(_u1914), _u1920), c_Orderings_Obot__class_Obot(tc_fun(_u1914, tc_HOL_Obool))))))) )).
% 43.94/44.12 cnf(matrix-714, plain, ( ~c_Fun_Oinj__on(_u1915, _u1917, _u1919, _u1923) | hBOOL(hAPP(hAPP(c_member(_u1917), hAPP(_u1919, _u1921)), c_Set_Oimage(_u1915, _u1917, _u1919, c_Groups_Ominus__class_Ominus(tc_fun(_u1915, tc_HOL_Obool), _u1923, hAPP(hAPP(c_Set_Oinsert(_u1915), _u1921), c_Orderings_Obot__class_Obot(tc_fun(_u1915, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u1915, _u1917, _u1919, hAPP(hAPP(c_Set_Oinsert(_u1915), _u1921), _u1923)) )).
% 43.94/44.12 cnf(matrix-715, plain, ( ( _u1924 != hAPP(_u1925, _u1926)) | ~hBOOL(hAPP(hAPP(c_member(_u1927), _u1926), _u1928)) | hBOOL(hAPP(hAPP(c_member(_u1929), _u1924), c_Set_Oimage(_u1927, _u1929, _u1925, _u1928))) )).
% 43.94/44.12 cnf(matrix-716, plain, ( ( c_Set_Oimage(_u1934, _u1936, _u1938, _u1940) != c_Orderings_Obot__class_Obot(tc_fun(_u1936, tc_HOL_Obool))) | ( _u1940 = c_Orderings_Obot__class_Obot(tc_fun(_u1934, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-717, plain, ( ( _u1941 != c_Orderings_Obot__class_Obot(tc_fun(_u1935, tc_HOL_Obool))) | ( c_Set_Oimage(_u1935, _u1937, _u1939, _u1941) = c_Orderings_Obot__class_Obot(tc_fun(_u1937, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-718, plain, ( ( c_Set_Oimage(_u1942, _u1943, _u1944, hAPP(hAPP(c_Set_Oinsert(_u1942), _u1945), _u1946)) = hAPP(hAPP(c_Set_Oinsert(_u1943), hAPP(_u1944, _u1945)), c_Set_Oimage(_u1942, _u1943, _u1944, _u1946))) )).
% 43.94/44.12 cnf(matrix-719, plain, ( ( c_Set_Oimage(_u1947, _u1948, _u1949, c_Orderings_Obot__class_Obot(tc_fun(_u1947, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1948, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-720, plain, ( ( _u1960 = c_Orderings_Obot__class_Obot(tc_fun(_u1956, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1954, tc_HOL_Obool)) != c_Set_Oimage(_u1956, _u1954, _u1958, _u1960)) )).
% 43.94/44.12 cnf(matrix-721, plain, ( ( _u1961 != c_Orderings_Obot__class_Obot(tc_fun(_u1957, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1955, tc_HOL_Obool)) = c_Set_Oimage(_u1957, _u1955, _u1959, _u1961)) )).
% 43.94/44.12 cnf(matrix-722, plain, ( ( hAPP(c_Relation_OImage(_u1962, _u1963, _u1964), c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1963, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-723, plain, ( ( c_Set_Oimage(_u1965, _u1965, c_COMBI(_u1965), _u1966) = _u1966) )).
% 43.94/44.12 cnf(matrix-724, plain, ( ( c_Set_Oimage(_u1967, _u1968, c_FuncSet_Orestrict(_u1967, _u1968, _u1969, _u1970), _u1970) = c_Set_Oimage(_u1967, _u1968, _u1969, _u1970)) )).
% 43.94/44.12 cnf(matrix-725, plain, ( ( c_Set_Oimage(_u1971, _u1972, _u1973, c_Set_Oimage(_u1974, _u1971, _u1975, _u1976)) = c_Set_Oimage(_u1974, _u1972, hAPP(c_COMBB(_u1971, _u1972, _u1974, _u1973), _u1975), _u1976)) )).
% 43.94/44.12 cnf(matrix-726, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1977), _u1978), _u1979)) | ( _u1980 != hAPP(_u1981, _u1978)) | hBOOL(hAPP(hAPP(c_member(_u1982), _u1980), c_Set_Oimage(_u1977, _u1982, _u1981, _u1979))) )).
% 43.94/44.12 cnf(matrix-727, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1983), _u1984), _u1985)) | hBOOL(hAPP(hAPP(c_member(_u1986), hAPP(_u1987, _u1984)), c_Set_Oimage(_u1983, _u1986, _u1987, _u1985))) )).
% 43.94/44.12 cnf(matrix-728, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1995), _u1997), c_Set_Oimage(_u1999, _u1995, _u2001, _u2003))) | hBOOL(hAPP(hAPP(c_member(_u1999), skolem85(_u2003, _u2001, _u1999, _u1997)), _u2003)) )).
% 43.94/44.12 cnf(matrix-729, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1995), _u1997), c_Set_Oimage(_u1999, _u1995, _u2001, _u2003))) | ( _u1997 = hAPP(_u2001, skolem85(_u2003, _u2001, _u1999, _u1997))) )).
% 43.94/44.12 cnf(matrix-730, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2000), _u1989), _u2004)) | ( _u1998 != hAPP(_u2002, _u1989)) | hBOOL(hAPP(hAPP(c_member(_u1996), _u1998), c_Set_Oimage(_u2000, _u1996, _u2002, _u2004))) )).
% 43.94/44.12 cnf(matrix-731, plain, ( ( c_Set_Oimage(_u2005, _u2006, _u2007, _u2008) != _u2009) | ( c_Set_Oimage(_u2006, _u2010, _u2011, _u2009) != _u2012) | ( c_Set_Oimage(_u2005, _u2010, c_FuncSet_Ocompose(_u2005, _u2006, _u2010, _u2008, _u2011, _u2007), _u2008) = _u2012) )).
% 43.94/44.12 cnf(matrix-732, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2013), _u2014), _u2015)) | ( hAPP(hAPP(c_Set_Oinsert(_u2016), hAPP(_u2017, _u2014)), c_Set_Oimage(_u2013, _u2016, _u2017, _u2015)) = c_Set_Oimage(_u2013, _u2016, _u2017, _u2015)) )).
% 43.94/44.12 cnf(matrix-733, plain, ( ( _u2022 != c_Orderings_Obot__class_Obot(tc_fun(_u2024, tc_HOL_Obool))) | ( c_Set_Oimage(_u2024, _u2026, c_COMBK(_u2026, _u2024, _u2028), _u2022) = c_Orderings_Obot__class_Obot(tc_fun(_u2026, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-734, plain, ( ( _u2023 = c_Orderings_Obot__class_Obot(tc_fun(_u2025, tc_HOL_Obool))) | ( c_Set_Oimage(_u2025, _u2027, c_COMBK(_u2027, _u2025, _u2029), _u2023) = hAPP(hAPP(c_Set_Oinsert(_u2027), _u2029), c_Orderings_Obot__class_Obot(tc_fun(_u2027, tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-735, plain, ( ( hAPP(c_Relation_OImage(_u2030, _u2030, c_Relation_OId__on(_u2030, _u2031)), _u2032) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2030, tc_HOL_Obool), _u2031, _u2032)) )).
% 43.94/44.12 cnf(matrix-736, plain, ( ~c_Fun_Oinj__on(_u2033, _u2034, _u2035, _u2036) | hBOOL(hAPP(hAPP(c_member(_u2034), _u2037), c_Set_Oimage(_u2033, _u2034, _u2035, _u2036))) | c_Fun_Oinj__on(_u2033, _u2034, c_Fun_Ofun__upd(_u2033, _u2034, _u2035, _u2038, _u2037), _u2036) )).
% 43.94/44.12 cnf(matrix-737, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2046), _u2048), hAPP(c_Relation_OImage(_u2050, _u2046, _u2052), _u2054))) | hBOOL(hAPP(hAPP(c_member(_u2050), skolem86(_u2054, _u2052, _u2050, _u2048, _u2046)), _u2054)) )).
% 43.94/44.12 cnf(matrix-738, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2046), _u2048), hAPP(c_Relation_OImage(_u2050, _u2046, _u2052), _u2054))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2050, _u2046)), hAPP(hAPP(c_Product__Type_OPair(_u2050, _u2046), skolem86(_u2054, _u2052, _u2050, _u2048, _u2046)), _u2048)), _u2052)) )).
% 43.94/44.12 cnf(matrix-739, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2051), _u2040), _u2055)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2051, _u2047)), hAPP(hAPP(c_Product__Type_OPair(_u2051, _u2047), _u2040), _u2049)), _u2053)) | hBOOL(hAPP(hAPP(c_member(_u2047), _u2049), hAPP(c_Relation_OImage(_u2051, _u2047, _u2053), _u2055))) )).
% 43.94/44.12 cnf(matrix-740, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2056), _u2057), _u2058)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2056, _u2059)), hAPP(hAPP(c_Product__Type_OPair(_u2056, _u2059), _u2057), _u2060)), _u2061)) | hBOOL(hAPP(hAPP(c_member(_u2059), _u2060), hAPP(c_Relation_OImage(_u2056, _u2059, _u2061), _u2058))) )).
% 43.94/44.12 cnf(matrix-741, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2062), _u2063), _u2064)) | ( c_Set_Oimage(_u2062, _u2065, c_COMBK(_u2065, _u2062, _u2066), _u2064) = hAPP(hAPP(c_Set_Oinsert(_u2065), _u2066), c_Orderings_Obot__class_Obot(tc_fun(_u2065, tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-742, plain, ( ~c_Relation_Osingle__valued(_u2067, _u2068, c_Relation_Oconverse(_u2068, _u2067, _u2069)) | ( hAPP(c_Relation_OImage(_u2068, _u2067, _u2069), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2068, tc_HOL_Obool), _u2070, _u2071)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2067, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2068, _u2067, _u2069), _u2070), hAPP(c_Relation_OImage(_u2068, _u2067, _u2069), _u2071))) )).
% 43.94/44.12 cnf(matrix-743, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2073), _u2074), hAPP(c_Relation_OImage(_u2075, _u2073, _u2076), _u2077))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2075, _u2073)), hAPP(hAPP(c_Product__Type_OPair(_u2075, _u2073), skolem87(_u2077, _u2076, _u2075, _u2074, _u2073)), _u2074)), _u2076)) )).
% 43.94/44.12 cnf(matrix-744, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2073), _u2074), hAPP(c_Relation_OImage(_u2075, _u2073, _u2076), _u2077))) | hBOOL(hAPP(hAPP(c_member(_u2075), skolem87(_u2077, _u2076, _u2075, _u2074, _u2073)), _u2077)) )).
% 43.94/44.12 cnf(matrix-745, plain, ( ~c_Equiv__Relations_Oequiv(_u2078, _u2079, _u2080) | ~hBOOL(hAPP(hAPP(c_member(_u2078), _u2081), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2078, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2078, _u2078, _u2080), hAPP(hAPP(c_Set_Oinsert(_u2078), _u2082), c_Orderings_Obot__class_Obot(tc_fun(_u2078, tc_HOL_Obool)))), hAPP(c_Relation_OImage(_u2078, _u2078, _u2080), hAPP(hAPP(c_Set_Oinsert(_u2078), _u2083), c_Orderings_Obot__class_Obot(tc_fun(_u2078, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2078, _u2078)), hAPP(hAPP(c_Product__Type_OPair(_u2078, _u2078), _u2082), _u2083)), _u2080)) )).
% 43.94/44.12 cnf(matrix-746, plain, ( ( c_Set_Oimage(_u2084, _u2085, _u2086, _u2087) != _u2088) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2085, _u2084)), c_FuncSet_Orestrict(_u2085, _u2084, c_Hilbert__Choice_Oinv__into(_u2084, _u2085, _u2087, _u2086), _u2088)), c_FuncSet_OPi(_u2085, _u2084, _u2088, c_COMBK(tc_fun(_u2084, tc_HOL_Obool), _u2085, _u2087)))) )).
% 43.94/44.12 cnf(matrix-747, plain, ( ~c_Equiv__Relations_Oequiv(_u2089, _u2090, _u2091) | ~hBOOL(hAPP(hAPP(c_member(_u2089), _u2092), _u2090)) | hBOOL(hAPP(hAPP(c_member(_u2089), _u2092), hAPP(c_Relation_OImage(_u2089, _u2089, _u2091), hAPP(hAPP(c_Set_Oinsert(_u2089), _u2092), c_Orderings_Obot__class_Obot(tc_fun(_u2089, tc_HOL_Obool)))))) )).
% 43.94/44.12 cnf(matrix-748, plain, ( ~c_Equiv__Relations_Oequiv(_u2093, _u2094, _u2095) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2093, _u2093)), hAPP(hAPP(c_Product__Type_OPair(_u2093, _u2093), _u2096), _u2097)), _u2095)) | ( hAPP(c_Relation_OImage(_u2093, _u2093, _u2095), hAPP(hAPP(c_Set_Oinsert(_u2093), _u2096), c_Orderings_Obot__class_Obot(tc_fun(_u2093, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u2093, _u2093, _u2095), hAPP(hAPP(c_Set_Oinsert(_u2093), _u2097), c_Orderings_Obot__class_Obot(tc_fun(_u2093, tc_HOL_Obool))))) )).
% 43.94/44.12 cnf(matrix-749, plain, ( ( c_Set_Oimage(_u2098, _u2099, _u2100, _u2101) != _u2102) | ( c_FuncSet_Ocompose(_u2099, _u2098, _u2099, _u2102, _u2100, c_FuncSet_Orestrict(_u2099, _u2098, c_Hilbert__Choice_Oinv__into(_u2098, _u2099, _u2101, _u2100), _u2102)) = c_FuncSet_Orestrict(_u2099, _u2099, c_COMBI(_u2099), _u2102)) )).
% 43.94/44.12 cnf(matrix-750, plain, ( ( hAPP(c_Relation_OImage(_u2103, _u2103, _u2104), hAPP(hAPP(c_Set_Oinsert(_u2103), _u2105), c_Orderings_Obot__class_Obot(tc_fun(_u2103, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u2103, _u2103, _u2104), hAPP(hAPP(c_Set_Oinsert(_u2103), _u2106), c_Orderings_Obot__class_Obot(tc_fun(_u2103, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u2103, _u2107, _u2104) | ~hBOOL(hAPP(hAPP(c_member(_u2103), _u2106), _u2107)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2103, _u2103)), hAPP(hAPP(c_Product__Type_OPair(_u2103, _u2103), _u2105), _u2106)), _u2104)) )).
% 43.94/44.12 cnf(matrix-751, plain, ( ~c_Equiv__Relations_Oequiv(_u2108, _u2109, _u2110) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2111), _u2109)) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2112), _u2109)) | ( hAPP(c_Relation_OImage(_u2108, _u2108, _u2110), hAPP(hAPP(c_Set_Oinsert(_u2108), _u2111), c_Orderings_Obot__class_Obot(tc_fun(_u2108, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u2108, _u2108, _u2110), hAPP(hAPP(c_Set_Oinsert(_u2108), _u2112), c_Orderings_Obot__class_Obot(tc_fun(_u2108, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2108, _u2108)), hAPP(hAPP(c_Product__Type_OPair(_u2108, _u2108), _u2111), _u2112)), _u2110)) )).
% 43.94/44.12 cnf(matrix-752, plain, ( ~c_Equiv__Relations_Oequiv(_u2108, _u2109, _u2110) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2111), _u2109)) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2112), _u2109)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2108, _u2108)), hAPP(hAPP(c_Product__Type_OPair(_u2108, _u2108), _u2111), _u2112)), _u2110)) | ( hAPP(c_Relation_OImage(_u2108, _u2108, _u2110), hAPP(hAPP(c_Set_Oinsert(_u2108), _u2111), c_Orderings_Obot__class_Obot(tc_fun(_u2108, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u2108, _u2108, _u2110), hAPP(hAPP(c_Set_Oinsert(_u2108), _u2112), c_Orderings_Obot__class_Obot(tc_fun(_u2108, tc_HOL_Obool))))) )).
% 43.94/44.12 cnf(matrix-753, plain, ( ~c_Equiv__Relations_Oequiv(_u2113, _u2114, _u2115) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2113, _u2113)), hAPP(hAPP(c_Product__Type_OPair(_u2113, _u2113), _u2116), _u2117)), _u2115)) | ( hAPP(c_Relation_OImage(_u2113, _u2113, _u2115), hAPP(hAPP(c_Set_Oinsert(_u2113), _u2116), c_Orderings_Obot__class_Obot(tc_fun(_u2113, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u2113, _u2113, _u2115), hAPP(hAPP(c_Set_Oinsert(_u2113), _u2117), c_Orderings_Obot__class_Obot(tc_fun(_u2113, tc_HOL_Obool))))) )).
% 43.94/44.12 cnf(matrix-754, plain, ( ~c_Equiv__Relations_Oequiv(_u2113, _u2114, _u2115) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2113, _u2113)), hAPP(hAPP(c_Product__Type_OPair(_u2113, _u2113), _u2116), _u2117)), _u2115)) | hBOOL(hAPP(hAPP(c_member(_u2113), _u2116), _u2114)) )).
% 43.94/44.12 cnf(matrix-755, plain, ( ~c_Equiv__Relations_Oequiv(_u2113, _u2114, _u2115) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2113, _u2113)), hAPP(hAPP(c_Product__Type_OPair(_u2113, _u2113), _u2116), _u2117)), _u2115)) | hBOOL(hAPP(hAPP(c_member(_u2113), _u2117), _u2114)) )).
% 43.94/44.12 cnf(matrix-756, plain, ( ~c_Equiv__Relations_Oequiv(_u2113, _u2114, _u2115) | ( hAPP(c_Relation_OImage(_u2113, _u2113, _u2115), hAPP(hAPP(c_Set_Oinsert(_u2113), _u2116), c_Orderings_Obot__class_Obot(tc_fun(_u2113, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u2113, _u2113, _u2115), hAPP(hAPP(c_Set_Oinsert(_u2113), _u2117), c_Orderings_Obot__class_Obot(tc_fun(_u2113, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u2113), _u2116), _u2114)) | ~hBOOL(hAPP(hAPP(c_member(_u2113), _u2117), _u2114)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2113, _u2113)), hAPP(hAPP(c_Product__Type_OPair(_u2113, _u2113), _u2116), _u2117)), _u2115)) )).
% 43.94/44.12 cnf(matrix-757, plain, ( ~c_Fun_Oinj__on(_u2118, _u2119, _u2120, _u2121) | ~hBOOL(hAPP(hAPP(c_member(_u2118), _u2122), _u2121)) | ( hAPP(_u2120, _u2122) != _u2123) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2118, _u2119, _u2121, _u2120), _u2123) = _u2122) )).
% 43.94/44.12 cnf(matrix-758, plain, ( ~c_Fun_Oinj__on(_u2124, _u2125, _u2126, _u2127) | ~hBOOL(hAPP(hAPP(c_member(_u2124), _u2128), _u2127)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2124, _u2125, _u2127, _u2126), hAPP(_u2126, _u2128)) = _u2128) )).
% 43.94/44.12 cnf(matrix-759, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u2129, _u2130, _u2131, _u2132), _u2133) != hAPP(c_Hilbert__Choice_Oinv__into(_u2129, _u2130, _u2131, _u2132), _u2134)) | ~hBOOL(hAPP(hAPP(c_member(_u2130), _u2133), c_Set_Oimage(_u2129, _u2130, _u2132, _u2131))) | ~hBOOL(hAPP(hAPP(c_member(_u2130), _u2134), c_Set_Oimage(_u2129, _u2130, _u2132, _u2131))) | ( _u2133 = _u2134) )).
% 43.94/44.12 cnf(matrix-760, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2135), _u2136), c_Set_Oimage(_u2137, _u2135, _u2138, _u2139))) | ( hAPP(_u2138, hAPP(c_Hilbert__Choice_Oinv__into(_u2137, _u2135, _u2139, _u2138), _u2136)) = _u2136) )).
% 43.94/44.12 cnf(matrix-761, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2140), _u2141), c_Set_Oimage(_u2142, _u2140, _u2143, _u2144))) | hBOOL(hAPP(hAPP(c_member(_u2142), hAPP(c_Hilbert__Choice_Oinv__into(_u2142, _u2140, _u2144, _u2143), _u2141)), _u2144)) )).
% 43.94/44.12 cnf(matrix-762, plain, ( ~c_Equiv__Relations_Oequiv(_u2145, _u2146, _u2147) | ~hBOOL(hAPP(hAPP(c_member(_u2145), _u2148), _u2146)) | ~hBOOL(hAPP(hAPP(c_member(_u2145), _u2149), _u2146)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2145), hAPP(hAPP(c_Set_Oinsert(_u2145), _u2148), c_Orderings_Obot__class_Obot(tc_fun(_u2145, tc_HOL_Obool)))), _u2147) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2145), hAPP(hAPP(c_Set_Oinsert(_u2145), _u2149), c_Orderings_Obot__class_Obot(tc_fun(_u2145, tc_HOL_Obool)))), _u2147)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2145, _u2145)), hAPP(hAPP(c_Product__Type_OPair(_u2145, _u2145), _u2148), _u2149)), _u2147)) )).
% 43.94/44.12 cnf(matrix-763, plain, ( ~c_Equiv__Relations_Oequiv(_u2145, _u2146, _u2147) | ~hBOOL(hAPP(hAPP(c_member(_u2145), _u2148), _u2146)) | ~hBOOL(hAPP(hAPP(c_member(_u2145), _u2149), _u2146)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2145, _u2145)), hAPP(hAPP(c_Product__Type_OPair(_u2145, _u2145), _u2148), _u2149)), _u2147)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2145), hAPP(hAPP(c_Set_Oinsert(_u2145), _u2148), c_Orderings_Obot__class_Obot(tc_fun(_u2145, tc_HOL_Obool)))), _u2147) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2145), hAPP(hAPP(c_Set_Oinsert(_u2145), _u2149), c_Orderings_Obot__class_Obot(tc_fun(_u2145, tc_HOL_Obool)))), _u2147)) )).
% 43.94/44.12 cnf(matrix-764, plain, ( ~c_Equiv__Relations_Oequiv(_u2150, _u2151, _u2152) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2150, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2150, _u2150, _u2152), hAPP(hAPP(c_Set_Oinsert(_u2150), _u2153), c_Orderings_Obot__class_Obot(tc_fun(_u2150, tc_HOL_Obool)))), hAPP(c_Relation_OImage(_u2150, _u2150, _u2152), hAPP(hAPP(c_Set_Oinsert(_u2150), _u2154), c_Orderings_Obot__class_Obot(tc_fun(_u2150, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u2150), _u2153), _u2151)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2150, _u2150)), hAPP(hAPP(c_Product__Type_OPair(_u2150, _u2150), _u2154), _u2153)), _u2152)) )).
% 43.94/44.12 cnf(matrix-765, plain, ( ~class_Orderings_Opreorder(_u2155) | c_Orderings_Oord__class_Oless__eq(_u2155, _u2156, _u2156) )).
% 43.94/44.12 cnf(matrix-766, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2157, tc_HOL_Obool), _u2158, _u2159) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2157, tc_HOL_Obool), _u2159, _u2158) | ( _u2158 = _u2159) )).
% 43.94/44.12 cnf(matrix-767, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2160, tc_HOL_Obool), _u2161, _u2162) | ~hBOOL(hAPP(hAPP(c_member(_u2160), _u2163), _u2161)) | hBOOL(hAPP(hAPP(c_member(_u2160), _u2163), _u2162)) )).
% 43.94/44.12 cnf(matrix-768, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2164, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_u2164, tc_HOL_Obool)), _u2165) )).
% 43.94/44.12 cnf(matrix-769, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2166, _u2166)), _u2167), c_Transitive__Closure_Otrancl(_u2166, _u2168))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2166, _u2166), tc_HOL_Obool), _u2168, _u2169) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2166, _u2166)), _u2167), c_Transitive__Closure_Otrancl(_u2166, _u2169))) )).
% 43.94/44.12 cnf(matrix-770, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2170, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2171, _u2170, _u2172), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2171, tc_HOL_Obool), _u2173, _u2174)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2170, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2171, _u2170, _u2172), _u2173), hAPP(c_Relation_OImage(_u2171, _u2170, _u2172), _u2174))) )).
% 43.94/44.12 cnf(matrix-771, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2175, _u2176), tc_HOL_Obool), _u2177, _u2178) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2175, tc_HOL_Obool), _u2179, _u2180) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2176, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2175, _u2176, _u2177), _u2179), hAPP(c_Relation_OImage(_u2175, _u2176, _u2178), _u2180)) )).
% 43.94/44.12 cnf(matrix-772, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2188, tc_HOL_Obool), _u2190, c_Set_Oimage(_u2192, _u2188, _u2194, _u2196)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2192, tc_HOL_Obool), skolem88(_u2196, _u2194, _u2192, _u2190, _u2188), _u2196) )).
% 43.94/44.12 cnf(matrix-773, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2188, tc_HOL_Obool), _u2190, c_Set_Oimage(_u2192, _u2188, _u2194, _u2196)) | ( _u2190 = c_Set_Oimage(_u2192, _u2188, _u2194, skolem88(_u2196, _u2194, _u2192, _u2190, _u2188))) )).
% 43.94/44.12 cnf(matrix-774, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2193, tc_HOL_Obool), _u2182, _u2197) | ( _u2191 != c_Set_Oimage(_u2193, _u2189, _u2195, _u2182)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2189, tc_HOL_Obool), _u2191, c_Set_Oimage(_u2193, _u2189, _u2195, _u2197)) )).
% 43.94/44.12 cnf(matrix-775, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2198, tc_HOL_Obool), _u2199, _u2200) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2201, tc_HOL_Obool), c_Set_Oimage(_u2198, _u2201, _u2202, _u2199), c_Set_Oimage(_u2198, _u2201, _u2202, _u2200)) )).
% 43.94/44.12 cnf(matrix-776, plain, ( ~c_Fun_Oinj__on(_u2203, _u2204, _u2205, _u2206) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2203, tc_HOL_Obool), _u2207, _u2206) | c_Fun_Oinj__on(_u2203, _u2204, _u2205, _u2207) )).
% 43.94/44.12 cnf(matrix-777, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2208, tc_HOL_Obool), _u2209, _u2210) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2208, tc_HOL_Obool), _u2210, _u2211) | ( c_Groups_Ominus__class_Ominus(tc_fun(_u2208, tc_HOL_Obool), _u2210, c_Groups_Ominus__class_Ominus(tc_fun(_u2208, tc_HOL_Obool), _u2211, _u2209)) = _u2209) )).
% 43.94/44.12 cnf(matrix-778, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2212, tc_HOL_Obool), _u2213, _u2214) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2212, tc_HOL_Obool), _u2215, _u2216) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2212, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2212, tc_HOL_Obool), _u2213, _u2216), c_Groups_Ominus__class_Ominus(tc_fun(_u2212, tc_HOL_Obool), _u2214, _u2215)) )).
% 43.94/44.12 cnf(matrix-779, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2217, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2217, tc_HOL_Obool), _u2218, _u2219), _u2218) )).
% 43.94/44.12 cnf(matrix-780, plain, ( ~class_Orderings_Olinorder(_u2220) | c_Orderings_Oord__class_Oless__eq(_u2220, _u2221, _u2222) | c_Orderings_Oord__class_Oless__eq(_u2220, _u2222, _u2221) )).
% 43.94/44.12 cnf(matrix-781, plain, ( ~class_Orderings_Oord(_u2223) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2224, _u2223), _u2225, _u2226) | c_Orderings_Oord__class_Oless__eq(_u2223, hAPP(_u2225, _u2227), hAPP(_u2226, _u2227)) )).
% 43.94/44.12 cnf(matrix-782, plain, ( ~class_Orderings_Oorder(_u2228) | ~c_Orderings_Oord__class_Oless__eq(_u2228, _u2229, _u2230) | ~c_Orderings_Oord__class_Oless__eq(_u2228, _u2231, _u2229) | c_Orderings_Oord__class_Oless__eq(_u2228, _u2231, _u2230) )).
% 43.94/44.12 cnf(matrix-783, plain, ( ~class_Orderings_Oorder(_u2232) | ~c_Orderings_Oord__class_Oless__eq(_u2232, _u2233, _u2234) | ~c_Orderings_Oord__class_Oless__eq(_u2232, _u2234, _u2233) | ( _u2234 = _u2233) )).
% 43.94/44.12 cnf(matrix-784, plain, ( ~class_Orderings_Opreorder(_u2235) | ~c_Orderings_Oord__class_Oless__eq(_u2235, _u2236, _u2237) | ~c_Orderings_Oord__class_Oless__eq(_u2235, _u2237, _u2238) | c_Orderings_Oord__class_Oless__eq(_u2235, _u2236, _u2238) )).
% 43.94/44.12 cnf(matrix-785, plain, ( ~class_Orderings_Oorder(_u2239) | ~c_Orderings_Oord__class_Oless__eq(_u2239, _u2240, _u2241) | ~c_Orderings_Oord__class_Oless__eq(_u2239, _u2241, _u2240) | ( _u2240 = _u2241) )).
% 43.94/44.12 cnf(matrix-786, plain, ( ~class_Orderings_Oorder(_u2242) | ~c_Orderings_Oord__class_Oless__eq(_u2242, _u2243, _u2244) | ( _u2243 != _u2245) | c_Orderings_Oord__class_Oless__eq(_u2242, _u2245, _u2244) )).
% 43.94/44.12 cnf(matrix-787, plain, ( ~class_Orderings_Oord(_u2246) | ~c_Orderings_Oord__class_Oless__eq(_u2246, _u2247, _u2248) | ( _u2248 != _u2249) | c_Orderings_Oord__class_Oless__eq(_u2246, _u2247, _u2249) )).
% 43.94/44.12 cnf(matrix-788, plain, ( ~class_Orderings_Oorder(_u2250) | ( _u2251 != _u2252) | ~c_Orderings_Oord__class_Oless__eq(_u2250, _u2253, _u2252) | c_Orderings_Oord__class_Oless__eq(_u2250, _u2253, _u2251) )).
% 43.94/44.12 cnf(matrix-789, plain, ( ~class_Orderings_Oord(_u2254) | ( _u2255 != _u2256) | ~c_Orderings_Oord__class_Oless__eq(_u2254, _u2256, _u2257) | c_Orderings_Oord__class_Oless__eq(_u2254, _u2255, _u2257) )).
% 43.94/44.12 cnf(matrix-790, plain, ( ~class_Orderings_Oorder(_u2258) | ~c_Orderings_Oord__class_Oless__eq(_u2258, _u2259, _u2260) | ~c_Orderings_Oord__class_Oless__eq(_u2258, _u2260, _u2259) | ( _u2260 = _u2259) )).
% 43.94/44.12 cnf(matrix-791, plain, ( ~class_Orderings_Oorder(_u2258) | ~c_Orderings_Oord__class_Oless__eq(_u2258, _u2259, _u2260) | ( _u2260 != _u2259) | c_Orderings_Oord__class_Oless__eq(_u2258, _u2260, _u2259) )).
% 43.94/44.12 cnf(matrix-792, plain, ( ~class_Orderings_Oord(_u2261) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2262, _u2261), _u2263, _u2264) | c_Orderings_Oord__class_Oless__eq(_u2261, hAPP(_u2263, _u2265), hAPP(_u2264, _u2265)) )).
% 43.94/44.12 cnf(matrix-793, plain, ( ~class_Orderings_Opreorder(_u2266) | ( _u2267 != _u2268) | c_Orderings_Oord__class_Oless__eq(_u2266, _u2267, _u2268) )).
% 43.94/44.12 cnf(matrix-794, plain, ( ~class_Orderings_Oorder(_u2269) | ( _u2270 != _u2271) | c_Orderings_Oord__class_Oless__eq(_u2269, _u2270, _u2271) )).
% 43.94/44.12 cnf(matrix-795, plain, ( ~class_Orderings_Oorder(_u2269) | ( _u2270 != _u2271) | c_Orderings_Oord__class_Oless__eq(_u2269, _u2271, _u2270) )).
% 43.94/44.12 cnf(matrix-796, plain, ( ~class_Orderings_Oorder(_u2269) | ~c_Orderings_Oord__class_Oless__eq(_u2269, _u2270, _u2271) | ~c_Orderings_Oord__class_Oless__eq(_u2269, _u2271, _u2270) | ( _u2270 = _u2271) )).
% 43.94/44.12 cnf(matrix-797, plain, ( ~class_Orderings_Olinorder(_u2272) | c_Orderings_Oord__class_Oless__eq(_u2272, _u2273, _u2274) | c_Orderings_Oord__class_Oless__eq(_u2272, _u2274, _u2273) )).
% 43.94/44.12 cnf(matrix-798, plain, ( ~class_Orderings_Oord(_u2277) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2278, _u2277), _u2279, _u2280) | c_Orderings_Oord__class_Oless__eq(_u2277, hAPP(_u2279, _u2275), hAPP(_u2280, _u2275)) )).
% 43.94/44.12 cnf(matrix-799, plain, ( ~class_Orderings_Oord(_u2277) | ~c_Orderings_Oord__class_Oless__eq(_u2277, hAPP(_u2279, skolem89(_u2280, _u2279, _u2278, _u2277)), hAPP(_u2280, skolem89(_u2280, _u2279, _u2278, _u2277))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2278, _u2277), _u2279, _u2280) )).
% 43.94/44.12 cnf(matrix-800, plain, ( ~c_Wellfounded_Oacyclic(_u2281, _u2282) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2281, _u2281), tc_HOL_Obool), _u2283, _u2282) | c_Wellfounded_Oacyclic(_u2281, _u2283) )).
% 43.94/44.12 cnf(matrix-801, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2284, _u2285), tc_HOL_Obool), _u2286, _u2287) | ~c_Relation_Osingle__valued(_u2284, _u2285, _u2287) | c_Relation_Osingle__valued(_u2284, _u2285, _u2286) )).
% 43.94/44.12 cnf(matrix-802, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2291, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2291, tc_fun(_u2291, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2291)), _u2293), hAPP(hAPP(c_COMBC(_u2291, tc_fun(_u2291, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2291)), _u2295)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2291, tc_HOL_Obool), _u2293, _u2295) )).
% 43.94/44.12 cnf(matrix-803, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2292, tc_HOL_Obool), _u2294, _u2296) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2292, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2292, tc_fun(_u2292, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2292)), _u2294), hAPP(hAPP(c_COMBC(_u2292, tc_fun(_u2292, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2292)), _u2296)) )).
% 43.94/44.12 cnf(matrix-804, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2297, tc_HOL_Obool), _u2298, _u2299) | ~hBOOL(hAPP(hAPP(c_member(_u2297), _u2300), _u2298)) | hBOOL(hAPP(hAPP(c_member(_u2297), _u2300), _u2299)) )).
% 43.94/44.12 cnf(matrix-805, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2301), _u2302), _u2303)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2301, tc_HOL_Obool), _u2303, _u2304) | hBOOL(hAPP(hAPP(c_member(_u2301), _u2302), _u2304)) )).
% 43.94/44.12 cnf(matrix-806, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2305, tc_HOL_Obool), _u2306, _u2307) | ~hBOOL(hAPP(hAPP(c_member(_u2305), _u2308), _u2306)) | hBOOL(hAPP(hAPP(c_member(_u2305), _u2308), _u2307)) )).
% 43.94/44.12 cnf(matrix-807, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2309, _u2309), tc_HOL_Obool), _u2310, _u2311) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2309, tc_HOL_Obool), c_Wellfounded_Oacc(_u2309, _u2311), c_Wellfounded_Oacc(_u2309, _u2310)) )).
% 43.94/44.12 cnf(matrix-808, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2312, tc_HOL_Obool), _u2313, _u2314) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u2312, _u2315), tc_HOL_Obool), c_FuncSet_OPi(_u2312, _u2315, _u2314, _u2316), c_FuncSet_OPi(_u2312, _u2315, _u2313, _u2316)) )).
% 43.94/44.12 cnf(matrix-809, plain, ( ~hBOOL(hAPP(_u2318, _u2320)) | hBOOL(hAPP(_u2319, _u2320)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2317, tc_HOL_Obool), _u2318, _u2319) )).
% 43.94/44.12 cnf(matrix-810, plain, ( ~hBOOL(hAPP(_u2321, _u2322)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2323, tc_HOL_Obool), _u2321, _u2324) | hBOOL(hAPP(_u2324, _u2322)) )).
% 43.94/44.12 cnf(matrix-811, plain, ( ( _u2325 != _u2326) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2327, tc_HOL_Obool), _u2325, _u2326) )).
% 43.94/44.12 cnf(matrix-812, plain, ( ( _u2325 != _u2326) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2327, tc_HOL_Obool), _u2326, _u2325) )).
% 43.94/44.12 cnf(matrix-813, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2328, tc_HOL_Obool), _u2329, _u2330) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2328, tc_HOL_Obool), _u2330, _u2331) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2328, tc_HOL_Obool), _u2329, _u2331) )).
% 43.94/44.12 cnf(matrix-814, plain, ( ( _u2332 != _u2333) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2334, tc_HOL_Obool), _u2333, _u2332) )).
% 43.94/44.12 cnf(matrix-815, plain, ( ( _u2335 != _u2336) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2337, tc_HOL_Obool), _u2335, _u2336) )).
% 43.94/44.12 cnf(matrix-816, plain, ( ( _u2341 != _u2343) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2345, tc_HOL_Obool), _u2341, _u2343) )).
% 43.94/44.12 cnf(matrix-817, plain, ( ( _u2341 != _u2343) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2345, tc_HOL_Obool), _u2343, _u2341) )).
% 43.94/44.12 cnf(matrix-818, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2346, tc_HOL_Obool), _u2342, _u2344) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2346, tc_HOL_Obool), _u2344, _u2342) | ( _u2342 = _u2344) )).
% 43.94/44.12 cnf(matrix-819, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2347, tc_HOL_Obool), _u2348, _u2348) )).
% 43.94/44.12 cnf(matrix-820, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2349, _u2350), tc_HOL_Obool), _u2351, _u2352) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2349, tc_HOL_Obool), c_Relation_ODomain(_u2349, _u2350, _u2351), c_Relation_ODomain(_u2349, _u2350, _u2352)) )).
% 43.94/44.12 cnf(matrix-821, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2353, _u2353), tc_HOL_Obool), _u2354, _u2355) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2353, _u2353), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_u2353, _u2354), c_Transitive__Closure_Ortrancl(_u2353, _u2355)) )).
% 43.94/44.12 cnf(matrix-822, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2356, _u2356), tc_HOL_Obool), _u2357, _u2358) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2356, _u2356), tc_HOL_Obool), _u2358, c_Transitive__Closure_Ortrancl(_u2356, _u2357)) | ( c_Transitive__Closure_Ortrancl(_u2356, _u2358) = c_Transitive__Closure_Ortrancl(_u2356, _u2357)) )).
% 43.94/44.12 cnf(matrix-823, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2359, _u2359), tc_HOL_Obool), _u2360, c_Transitive__Closure_Ortrancl(_u2359, _u2361)) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2359, _u2359), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_u2359, _u2360), c_Transitive__Closure_Ortrancl(_u2359, _u2361)) )).
% 43.94/44.12 cnf(matrix-824, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2362, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2362, tc_HOL_Obool), _u2363, _u2364), _u2363) )).
% 43.94/44.12 cnf(matrix-825, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2365, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2365, tc_HOL_Obool), _u2366, _u2367), _u2367) )).
% 43.94/44.12 cnf(matrix-826, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2368, tc_HOL_Obool), _u2369, _u2370) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2368, tc_HOL_Obool), _u2369, _u2370) = _u2369) )).
% 43.94/44.12 cnf(matrix-827, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2371, tc_HOL_Obool), _u2372, _u2373) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2371, tc_HOL_Obool), _u2373, _u2372) = _u2372) )).
% 43.94/44.12 cnf(matrix-828, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2374, tc_HOL_Obool), _u2375, _u2376) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2374, tc_HOL_Obool), _u2375, _u2377) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2374, tc_HOL_Obool), _u2375, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2374, tc_HOL_Obool), _u2376, _u2377)) )).
% 43.94/44.12 cnf(matrix-829, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2378, tc_HOL_Obool), _u2379, _u2380) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2378, tc_HOL_Obool), _u2381, _u2382) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2378, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2378, tc_HOL_Obool), _u2379, _u2381), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2378, tc_HOL_Obool), _u2380, _u2382)) )).
% 43.94/44.12 cnf(matrix-830, plain, ( ~class_Lattices_Osemilattice__inf(_u2383) | ~c_Orderings_Oord__class_Oless__eq(_u2383, _u2384, c_Lattices_Osemilattice__inf__class_Oinf(_u2383, _u2385, _u2386)) | c_Orderings_Oord__class_Oless__eq(_u2383, _u2384, _u2385) )).
% 43.94/44.12 cnf(matrix-831, plain, ( ~class_Lattices_Osemilattice__inf(_u2383) | ~c_Orderings_Oord__class_Oless__eq(_u2383, _u2384, c_Lattices_Osemilattice__inf__class_Oinf(_u2383, _u2385, _u2386)) | c_Orderings_Oord__class_Oless__eq(_u2383, _u2384, _u2386) )).
% 43.94/44.12 cnf(matrix-832, plain, ( ~class_Lattices_Osemilattice__inf(_u2387) | ~c_Orderings_Oord__class_Oless__eq(_u2387, _u2388, _u2389) | ~c_Orderings_Oord__class_Oless__eq(_u2387, _u2390, _u2391) | c_Orderings_Oord__class_Oless__eq(_u2387, c_Lattices_Osemilattice__inf__class_Oinf(_u2387, _u2388, _u2390), c_Lattices_Osemilattice__inf__class_Oinf(_u2387, _u2389, _u2391)) )).
% 43.94/44.12 cnf(matrix-833, plain, ( ~class_Lattices_Osemilattice__inf(_u2392) | ~c_Orderings_Oord__class_Oless__eq(_u2392, _u2393, _u2394) | ~c_Orderings_Oord__class_Oless__eq(_u2392, _u2393, _u2395) | c_Orderings_Oord__class_Oless__eq(_u2392, _u2393, c_Lattices_Osemilattice__inf__class_Oinf(_u2392, _u2394, _u2395)) )).
% 43.94/44.12 cnf(matrix-834, plain, ( ~class_Lattices_Osemilattice__inf(_u2396) | ~c_Orderings_Oord__class_Oless__eq(_u2396, _u2397, _u2398) | ~c_Orderings_Oord__class_Oless__eq(_u2396, _u2397, _u2399) | c_Orderings_Oord__class_Oless__eq(_u2396, _u2397, c_Lattices_Osemilattice__inf__class_Oinf(_u2396, _u2398, _u2399)) )).
% 43.94/44.12 cnf(matrix-835, plain, ( ~class_Lattices_Osemilattice__inf(_u2400) | ~c_Orderings_Oord__class_Oless__eq(_u2400, _u2401, _u2402) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u2400, _u2402, _u2401) = _u2401) )).
% 43.94/44.12 cnf(matrix-836, plain, ( ~class_Lattices_Osemilattice__inf(_u2403) | ~c_Orderings_Oord__class_Oless__eq(_u2403, _u2404, _u2405) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u2403, _u2404, _u2405) = _u2404) )).
% 43.94/44.12 cnf(matrix-837, plain, ( ~class_Lattices_Osemilattice__inf(_u2406) | ~c_Orderings_Oord__class_Oless__eq(_u2406, _u2407, _u2408) | c_Orderings_Oord__class_Oless__eq(_u2406, c_Lattices_Osemilattice__inf__class_Oinf(_u2406, _u2409, _u2407), _u2408) )).
% 43.94/44.12 cnf(matrix-838, plain, ( ~class_Lattices_Osemilattice__inf(_u2410) | ~c_Orderings_Oord__class_Oless__eq(_u2410, _u2411, _u2412) | c_Orderings_Oord__class_Oless__eq(_u2410, c_Lattices_Osemilattice__inf__class_Oinf(_u2410, _u2411, _u2413), _u2412) )).
% 43.94/44.12 cnf(matrix-839, plain, ( ~class_Lattices_Osemilattice__inf(_u2414) | ~c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, c_Lattices_Osemilattice__inf__class_Oinf(_u2414, _u2416, _u2417)) | c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, _u2416) )).
% 43.94/44.12 cnf(matrix-840, plain, ( ~class_Lattices_Osemilattice__inf(_u2414) | ~c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, c_Lattices_Osemilattice__inf__class_Oinf(_u2414, _u2416, _u2417)) | c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, _u2417) )).
% 43.94/44.12 cnf(matrix-841, plain, ( ~class_Lattices_Osemilattice__inf(_u2414) | ~c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, _u2416) | ~c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, _u2417) | c_Orderings_Oord__class_Oless__eq(_u2414, _u2415, c_Lattices_Osemilattice__inf__class_Oinf(_u2414, _u2416, _u2417)) )).
% 43.94/44.12 cnf(matrix-842, plain, ( ~class_Lattices_Osemilattice__inf(_u2418) | ~c_Orderings_Oord__class_Oless__eq(_u2418, _u2419, _u2420) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u2418, _u2419, _u2420) = _u2419) )).
% 43.94/44.12 cnf(matrix-843, plain, ( ~class_Lattices_Osemilattice__inf(_u2418) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u2418, _u2419, _u2420) != _u2419) | c_Orderings_Oord__class_Oless__eq(_u2418, _u2419, _u2420) )).
% 43.94/44.12 cnf(matrix-844, plain, ( ~class_Lattices_Osemilattice__inf(_u2421) | c_Orderings_Oord__class_Oless__eq(_u2421, c_Lattices_Osemilattice__inf__class_Oinf(_u2421, _u2422, _u2423), _u2423) )).
% 43.94/44.12 cnf(matrix-845, plain, ( ~class_Lattices_Olattice(_u2424) | c_Orderings_Oord__class_Oless__eq(_u2424, c_Lattices_Osemilattice__inf__class_Oinf(_u2424, _u2425, _u2426), _u2426) )).
% 43.94/44.12 cnf(matrix-846, plain, ( ~class_Lattices_Osemilattice__inf(_u2427) | c_Orderings_Oord__class_Oless__eq(_u2427, c_Lattices_Osemilattice__inf__class_Oinf(_u2427, _u2428, _u2429), _u2428) )).
% 43.94/44.12 cnf(matrix-847, plain, ( ~class_Lattices_Olattice(_u2430) | c_Orderings_Oord__class_Oless__eq(_u2430, c_Lattices_Osemilattice__inf__class_Oinf(_u2430, _u2431, _u2432), _u2431) )).
% 43.94/44.12 cnf(matrix-848, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2433, tc_HOL_Obool), _u2434, hAPP(hAPP(c_Set_Oinsert(_u2433), _u2435), _u2434)) )).
% 43.94/44.12 cnf(matrix-849, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2438, tc_HOL_Obool), _u2440, c_Orderings_Obot__class_Obot(tc_fun(_u2438, tc_HOL_Obool))) | ( _u2440 = c_Orderings_Obot__class_Obot(tc_fun(_u2438, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-850, plain, ( ( _u2441 != c_Orderings_Obot__class_Obot(tc_fun(_u2439, tc_HOL_Obool))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2439, tc_HOL_Obool), _u2441, c_Orderings_Obot__class_Obot(tc_fun(_u2439, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-851, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2442, tc_HOL_Obool), _u2443, _u2444) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2442, tc_HOL_Obool), _u2443, hAPP(hAPP(c_Set_Oinsert(_u2442), _u2445), _u2444)) )).
% 43.94/44.12 cnf(matrix-852, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2446, tc_HOL_Obool), _u2447, _u2448) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2446, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u2446), _u2449), _u2447), hAPP(hAPP(c_Set_Oinsert(_u2446), _u2449), _u2448)) )).
% 43.94/44.12 cnf(matrix-853, plain, ( ~class_Orderings_Obot(_u2450) | c_Orderings_Oord__class_Oless__eq(_u2450, c_Orderings_Obot__class_Obot(_u2450), _u2451) )).
% 43.94/44.12 cnf(matrix-854, plain, ( ( _u2452 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u2453, _u2453), tc_HOL_Obool))) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2453, _u2453), tc_HOL_Obool), _u2452, _u2454) )).
% 43.94/44.12 cnf(matrix-855, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2455, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2455, tc_HOL_Obool), c_Set_Oimage(_u2456, _u2455, _u2457, _u2458), c_Set_Oimage(_u2456, _u2455, _u2457, _u2459)), c_Set_Oimage(_u2456, _u2455, _u2457, c_Groups_Ominus__class_Ominus(tc_fun(_u2456, tc_HOL_Obool), _u2458, _u2459))) )).
% 43.94/44.12 cnf(matrix-856, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2460, tc_HOL_Obool), c_Set_Oimage(_u2461, _u2460, _u2462, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2461, tc_HOL_Obool), _u2463, _u2464)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2460, tc_HOL_Obool), c_Set_Oimage(_u2461, _u2460, _u2462, _u2463), c_Set_Oimage(_u2461, _u2460, _u2462, _u2464))) )).
% 43.94/44.12 cnf(matrix-857, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2465, tc_HOL_Obool), _u2466, hAPP(hAPP(c_Set_Oinsert(_u2465), _u2467), c_Orderings_Obot__class_Obot(tc_fun(_u2465, tc_HOL_Obool)))) | ( _u2466 = c_Orderings_Obot__class_Obot(tc_fun(_u2465, tc_HOL_Obool))) | ( _u2466 = hAPP(hAPP(c_Set_Oinsert(_u2465), _u2467), c_Orderings_Obot__class_Obot(tc_fun(_u2465, tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-858, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2472, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u2472), _u2474), _u2476), _u2478) | hBOOL(hAPP(hAPP(c_member(_u2472), _u2474), _u2478)) )).
% 43.94/44.12 cnf(matrix-859, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2472, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u2472), _u2474), _u2476), _u2478) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2472, tc_HOL_Obool), _u2476, _u2478) )).
% 43.94/44.12 cnf(matrix-860, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2473), _u2475), _u2479)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2473, tc_HOL_Obool), _u2477, _u2479) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2473, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_u2473), _u2475), _u2477), _u2479) )).
% 43.94/44.12 cnf(matrix-861, plain, ( hBOOL(hAPP(hAPP(c_member(_u2480), _u2481), _u2482)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2480, tc_HOL_Obool), _u2482, hAPP(hAPP(c_Set_Oinsert(_u2480), _u2481), _u2483)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2480, tc_HOL_Obool), _u2482, _u2483) )).
% 43.94/44.12 cnf(matrix-862, plain, ( hBOOL(hAPP(hAPP(c_member(_u2480), _u2481), _u2482)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2480, tc_HOL_Obool), _u2482, _u2483) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2480, tc_HOL_Obool), _u2482, hAPP(hAPP(c_Set_Oinsert(_u2480), _u2481), _u2483)) )).
% 43.94/44.12 cnf(matrix-863, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2484), c_Orderings_Obot__class_Obot(tc_fun(_u2484, tc_HOL_Obool))), _u2485) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2484, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-864, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2489, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2489), _u2491), _u2493)) | ( _u2491 = c_Orderings_Obot__class_Obot(tc_fun(_u2489, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-865, plain, ( ( _u2492 != c_Orderings_Obot__class_Obot(tc_fun(_u2490, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2490, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2490), _u2492), _u2494)) )).
% 43.94/44.12 cnf(matrix-866, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2498), _u2500), _u2502) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2498, tc_HOL_Obool), tc_HOL_Obool))) | ( _u2500 = c_Orderings_Obot__class_Obot(tc_fun(_u2498, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-867, plain, ( ( _u2501 != c_Orderings_Obot__class_Obot(tc_fun(_u2499, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2499), _u2501), _u2503) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2499, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-868, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2504, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2504, _u2504, _u2505), _u2506), _u2506) | ( hAPP(c_Relation_OImage(_u2504, _u2504, c_Transitive__Closure_Ortrancl(_u2504, _u2505)), _u2506) = _u2506) )).
% 43.94/44.12 cnf(matrix-869, plain, ( ( c_Set_Oimage(_u2507, _u2508, _u2509, _u2510) != _u2511) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2508, tc_HOL_Obool), _u2512, _u2511) | ( c_Set_Oimage(_u2507, _u2508, _u2509, c_Set_Oimage(_u2508, _u2507, c_Hilbert__Choice_Oinv__into(_u2507, _u2508, _u2510, _u2509), _u2512)) = _u2512) )).
% 43.94/44.12 cnf(matrix-870, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2513, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2513, tc_HOL_Obool), c_Relation_ODomain(_u2513, _u2514, _u2515), c_Relation_ODomain(_u2513, _u2514, _u2516)), c_Relation_ODomain(_u2513, _u2514, c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u2513, _u2514), tc_HOL_Obool), _u2515, _u2516))) )).
% 43.94/44.12 cnf(matrix-871, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2517, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2517, tc_HOL_Obool), c_Relation_ORange(_u2518, _u2517, _u2519), c_Relation_ORange(_u2518, _u2517, _u2520)), c_Relation_ORange(_u2518, _u2517, c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u2518, _u2517), tc_HOL_Obool), _u2519, _u2520))) )).
% 43.94/44.12 cnf(matrix-872, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2521, _u2522)), _u2523), c_FuncSet_Oextensional(_u2521, _u2522, _u2524))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2521, tc_HOL_Obool), _u2524, _u2525) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2521, _u2522)), _u2523), c_FuncSet_Oextensional(_u2521, _u2522, _u2525))) )).
% 43.94/44.12 cnf(matrix-873, plain, ( ( _u2530 = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u2531, _u2532, _u2526, _u2530) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2532, tc_HOL_Obool), c_Set_Oimage(_u2531, _u2532, _u2526, _u2530), _u2533) | ( c_Set_Oimage(_u2532, _u2531, skolem90(_u2533, _u2532, _u2531, _u2530), _u2533) = _u2530) )).
% 43.94/44.12 cnf(matrix-874, plain, ( ( _u2530 = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | ( c_Set_Oimage(_u2532, _u2531, _u2528, _u2533) != _u2530) | c_Fun_Oinj__on(_u2531, _u2532, skolem91(_u2533, _u2532, _u2531, _u2530), _u2530) )).
% 43.94/44.12 cnf(matrix-875, plain, ( ( _u2530 = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) | ( c_Set_Oimage(_u2532, _u2531, _u2528, _u2533) != _u2530) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2532, tc_HOL_Obool), c_Set_Oimage(_u2531, _u2532, skolem91(_u2533, _u2532, _u2531, _u2530), _u2530), _u2533) )).
% 43.94/44.12 cnf(matrix-876, plain, ( ~c_Fun_Oinj__on(_u2534, _u2535, _u2536, _u2537) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2534, tc_HOL_Obool), _u2538, _u2537) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2534, tc_HOL_Obool), _u2539, _u2537) | ( c_Set_Oimage(_u2534, _u2535, _u2536, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2534, tc_HOL_Obool), _u2538, _u2539)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2535, tc_HOL_Obool), c_Set_Oimage(_u2534, _u2535, _u2536, _u2538), c_Set_Oimage(_u2534, _u2535, _u2536, _u2539))) )).
% 43.94/44.12 cnf(matrix-877, plain, ( ~c_Fun_Oinj__on(_u2540, _u2541, _u2542, _u2543) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2540, tc_HOL_Obool), _u2544, _u2543) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2540, tc_HOL_Obool), _u2545, _u2543) | ( c_Set_Oimage(_u2540, _u2541, _u2542, c_Groups_Ominus__class_Ominus(tc_fun(_u2540, tc_HOL_Obool), _u2544, _u2545)) = c_Groups_Ominus__class_Ominus(tc_fun(_u2541, tc_HOL_Obool), c_Set_Oimage(_u2540, _u2541, _u2542, _u2544), c_Set_Oimage(_u2540, _u2541, _u2542, _u2545))) )).
% 43.94/44.12 cnf(matrix-878, plain, ( ~c_Fun_Oinj__on(_u2546, _u2547, _u2548, _u2549) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2546, tc_HOL_Obool), _u2550, _u2549) | ( c_Set_Oimage(_u2547, _u2546, c_Hilbert__Choice_Oinv__into(_u2546, _u2547, _u2549, _u2548), c_Set_Oimage(_u2546, _u2547, _u2548, _u2550)) = _u2550) )).
% 43.94/44.12 cnf(matrix-879, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2551, tc_HOL_Obool), _u2552, c_Set_Oimage(_u2553, _u2551, _u2554, _u2555)) | c_Fun_Oinj__on(_u2551, _u2553, c_Hilbert__Choice_Oinv__into(_u2553, _u2551, _u2555, _u2554), _u2552) )).
% 43.94/44.12 cnf(matrix-880, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2556, tc_HOL_Obool), c_Relation_ODomain(_u2556, _u2557, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u2556, _u2557), tc_HOL_Obool), _u2558, _u2559)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2556, tc_HOL_Obool), c_Relation_ODomain(_u2556, _u2557, _u2558), c_Relation_ODomain(_u2556, _u2557, _u2559))) )).
% 43.94/44.12 cnf(matrix-881, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2560, tc_HOL_Obool), c_Relation_ORange(_u2561, _u2560, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u2561, _u2560), tc_HOL_Obool), _u2562, _u2563)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2560, tc_HOL_Obool), c_Relation_ORange(_u2561, _u2560, _u2562), c_Relation_ORange(_u2561, _u2560, _u2563))) )).
% 43.94/44.12 cnf(matrix-882, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2564, _u2565)), _u2566), c_FuncSet_OPi(_u2564, _u2565, _u2567, c_COMBK(tc_fun(_u2565, tc_HOL_Obool), _u2564, _u2568)))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2565, tc_HOL_Obool), c_Set_Oimage(_u2564, _u2565, _u2566, _u2567), _u2568) )).
% 43.94/44.12 cnf(matrix-883, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2569), hAPP(hAPP(c_Set_Oinsert(_u2569), _u2570), c_Orderings_Obot__class_Obot(tc_fun(_u2569, tc_HOL_Obool)))), _u2571) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2569, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2569, _u2569, _u2571), hAPP(hAPP(c_Set_Oinsert(_u2569), _u2570), c_Orderings_Obot__class_Obot(tc_fun(_u2569, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2569, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 43.94/44.12 cnf(matrix-884, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2572, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2572, tc_HOL_Obool), _u2573, hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool)))), _u2575) | ~hBOOL(hAPP(hAPP(c_member(_u2572), _u2574), _u2573)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2572, tc_HOL_Obool), _u2573, hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), _u2575)) )).
% 43.94/44.12 cnf(matrix-885, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2580, tc_HOL_Obool), _u2582, hAPP(hAPP(c_Set_Oinsert(_u2580), _u2584), _u2586)) | ~hBOOL(hAPP(hAPP(c_member(_u2580), _u2584), _u2582)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2580, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2580, tc_HOL_Obool), _u2582, hAPP(hAPP(c_Set_Oinsert(_u2580), _u2584), c_Orderings_Obot__class_Obot(tc_fun(_u2580, tc_HOL_Obool)))), _u2586) )).
% 43.94/44.12 cnf(matrix-886, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2580, tc_HOL_Obool), _u2582, hAPP(hAPP(c_Set_Oinsert(_u2580), _u2584), _u2586)) | hBOOL(hAPP(hAPP(c_member(_u2580), _u2584), _u2582)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2580, tc_HOL_Obool), _u2582, _u2586) )).
% 43.94/44.12 cnf(matrix-887, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), _u2583, hAPP(hAPP(c_Set_Oinsert(_u2581), _u2585), _u2587)) | hBOOL(hAPP(hAPP(c_member(_u2581), _u2585), _u2583)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), _u2583, _u2587) )).
% 43.94/44.12 cnf(matrix-888, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), _u2583, hAPP(hAPP(c_Set_Oinsert(_u2581), _u2585), _u2587)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2581, tc_HOL_Obool), _u2583, hAPP(hAPP(c_Set_Oinsert(_u2581), _u2585), c_Orderings_Obot__class_Obot(tc_fun(_u2581, tc_HOL_Obool)))), _u2587) | ~hBOOL(hAPP(hAPP(c_member(_u2581), _u2585), _u2583)) )).
% 43.94/44.12 cnf(matrix-889, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), _u2583, hAPP(hAPP(c_Set_Oinsert(_u2581), _u2585), _u2587)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_u2581, tc_HOL_Obool), _u2583, hAPP(hAPP(c_Set_Oinsert(_u2581), _u2585), c_Orderings_Obot__class_Obot(tc_fun(_u2581, tc_HOL_Obool)))), _u2587) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2581, tc_HOL_Obool), _u2583, _u2587) )).
% 43.94/44.12 cnf(matrix-890, plain, ( ~c_Equiv__Relations_Oequiv(_u2588, _u2589, _u2590) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2588, tc_HOL_Obool)), _u2591), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2588), _u2589), _u2590))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2588, tc_HOL_Obool)), _u2592), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2588), _u2589), _u2590))) | ( _u2591 = _u2592) | ( c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2588, tc_HOL_Obool), _u2591, _u2592) = c_Orderings_Obot__class_Obot(tc_fun(_u2588, tc_HOL_Obool))) )).
% 43.94/44.12 cnf(matrix-891, plain, ( ~c_Fun_Oinj__on(_u2593, tc_fun(tc_fun(_u2593, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2593, tc_fun(tc_prod(_u2593, _u2593), tc_HOL_Obool), tc_fun(tc_fun(_u2593, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2593, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u2593, _u2593), tc_HOL_Obool), tc_fun(tc_fun(_u2593, tc_HOL_Obool), tc_HOL_Obool)), _u2593, c_Equiv__Relations_Oquotient(_u2593)), hAPP(hAPP(c_COMBC(_u2593, tc_fun(_u2593, tc_HOL_Obool), tc_fun(_u2593, tc_HOL_Obool)), c_Set_Oinsert(_u2593)), c_Orderings_Obot__class_Obot(tc_fun(_u2593, tc_HOL_Obool))))), _u2594), _u2595) | ~hBOOL(hAPP(hAPP(c_member(_u2593), _u2596), _u2595)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2593), c_Groups_Ominus__class_Ominus(tc_fun(_u2593, tc_HOL_Obool), _u2595, hAPP(hAPP(c_Set_Oinsert(_u2593), _u2596), c_Orderings_Obot__class_Obot(tc_fun(_u2593, tc_HOL_Obool))))), _u2594) = c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u2593, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2593), _u2595), _u2594), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2593), hAPP(hAPP(c_Set_Oinsert(_u2593), _u2596), c_Orderings_Obot__class_Obot(tc_fun(_u2593, tc_HOL_Obool)))), _u2594))) )).
% 43.94/44.12 cnf(matrix-892, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2597), _u2598), _u2599)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2597, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2597, _u2597, _u2600), hAPP(hAPP(c_Set_Oinsert(_u2597), _u2598), c_Orderings_Obot__class_Obot(tc_fun(_u2597, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2597), _u2599), _u2600))) )).
% 43.94/44.12 cnf(matrix-893, plain, ( ~c_Equiv__Relations_Oequiv(_u2601, _u2602, _u2603) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2601, _u2601)), hAPP(hAPP(c_Product__Type_OPair(_u2601, _u2601), _u2604), _u2605)), _u2603)) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2601, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2601, _u2601, _u2603), hAPP(hAPP(c_Set_Oinsert(_u2601), _u2604), c_Orderings_Obot__class_Obot(tc_fun(_u2601, tc_HOL_Obool)))), hAPP(c_Relation_OImage(_u2601, _u2601, _u2603), hAPP(hAPP(c_Set_Oinsert(_u2601), _u2605), c_Orderings_Obot__class_Obot(tc_fun(_u2601, tc_HOL_Obool))))) )).
% 43.94/44.12 cnf(matrix-894, plain, ( ~c_Equiv__Relations_Oequiv(_u2606, _u2607, _u2608) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2606, tc_HOL_Obool)), _u2609), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2606), _u2607), _u2608))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2606, tc_HOL_Obool)), _u2610), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2606), _u2607), _u2608))) | ~hBOOL(hAPP(hAPP(c_member(_u2606), _u2611), _u2609)) | ~hBOOL(hAPP(hAPP(c_member(_u2606), _u2612), _u2610)) | ( _u2609 != _u2610) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u2606, _u2606)), hAPP(hAPP(c_Product__Type_OPair(_u2606, _u2606), _u2611), _u2612)), _u2608)) )).
% 43.94/44.12 cnf(matrix-895, plain, ( ~c_Equiv__Relations_Oequiv(_u2606, _u2607, _u2608) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2606, tc_HOL_Obool)), _u2609), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2606), _u2607), _u2608))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2606, tc_HOL_Obool)), _u2610), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2606), _u2607), _u2608))) | ~hBOOL(hAPP(hAPP(c_member(_u2606), _u2611), _u2609)) | ~hBOOL(hAPP(hAPP(c_member(_u2606), _u2612), _u2610)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2606, _u2606)), hAPP(hAPP(c_Product__Type_OPair(_u2606, _u2606), _u2611), _u2612)), _u2608)) | ( _u2609 = _u2610) )).
% 43.94/44.12 cnf(matrix-896, plain, ( ~c_Equiv__Relations_Oequiv(_u2613, _u2614, _u2615) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2613, tc_HOL_Obool)), _u2616), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2613), _u2614), _u2615))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2613, tc_HOL_Obool)), _u2617), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2613), _u2614), _u2615))) | ~hBOOL(hAPP(hAPP(c_member(_u2613), _u2618), _u2616)) | ~hBOOL(hAPP(hAPP(c_member(_u2613), _u2619), _u2617)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2613, _u2613)), hAPP(hAPP(c_Product__Type_OPair(_u2613, _u2613), _u2618), _u2619)), _u2615)) | ( _u2616 = _u2617) )).
% 43.94/44.12 cnf(matrix-897, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2623, tc_HOL_Obool), _u2625, hAPP(hAPP(c_Set_Oinsert(_u2623), _u2627), c_Orderings_Obot__class_Obot(tc_fun(_u2623, tc_HOL_Obool)))) | ( c_Partial__Function_Oflat__lub(_u2623, _u2627, _u2625) = _u2627) )).
% 43.94/44.12 cnf(matrix-898, plain, ( c_Orderings_Oord__class_Oless__eq(tc_fun(_u2624, tc_HOL_Obool), _u2626, hAPP(hAPP(c_Set_Oinsert(_u2624), _u2628), c_Orderings_Obot__class_Obot(tc_fun(_u2624, tc_HOL_Obool)))) | ( c_Partial__Function_Oflat__lub(_u2624, _u2628, _u2626) = c_HOL_OThe(_u2624, hAPP(hAPP(c_COMBC(_u2624, tc_fun(_u2624, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2624)), c_Groups_Ominus__class_Ominus(tc_fun(_u2624, tc_HOL_Obool), _u2626, hAPP(hAPP(c_Set_Oinsert(_u2624), _u2628), c_Orderings_Obot__class_Obot(tc_fun(_u2624, tc_HOL_Obool))))))) )).
% 43.94/44.12 cnf(matrix-899, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2630, tc_HOL_Obool)), _u2631), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2630), _u2632), _u2633))) | ( _u2631 = hAPP(c_Relation_OImage(_u2630, _u2630, _u2633), hAPP(hAPP(c_Set_Oinsert(_u2630), skolem92(_u2633, _u2632, _u2631, _u2630)), c_Orderings_Obot__class_Obot(tc_fun(_u2630, tc_HOL_Obool))))) )).
% 43.94/44.12 cnf(matrix-900, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2630, tc_HOL_Obool)), _u2631), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2630), _u2632), _u2633))) | hBOOL(hAPP(hAPP(c_member(_u2630), skolem92(_u2633, _u2632, _u2631, _u2630)), _u2632)) )).
% 43.94/44.12 cnf(matrix-901, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2634, tc_fun(_u2634, tc_HOL_Obool)), _u2635, _u2636) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2634, tc_HOL_Obool), c_Wellfounded_Oaccp(_u2634, _u2636), c_Wellfounded_Oaccp(_u2634, _u2635)) )).
% 43.94/44.12 cnf(matrix-902, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2641, tc_fun(_u2643, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2641, tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_fun(_u2643, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2643, tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_fun(_u2643, tc_HOL_Obool)), _u2641, c_COMBC(_u2643, tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2643, tc_prod(_u2641, _u2643)), tc_fun(_u2643, tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), _u2641, c_COMBB(tc_prod(_u2641, _u2643), tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool), _u2643, c_member(tc_prod(_u2641, _u2643)))), c_Product__Type_OPair(_u2641, _u2643)))), _u2645), hAPP(hAPP(c_COMBC(_u2641, tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_fun(_u2643, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2643, tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_fun(_u2643, tc_HOL_Obool)), _u2641, c_COMBC(_u2643, tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2643, tc_prod(_u2641, _u2643)), tc_fun(_u2643, tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool)), _u2641, c_COMBB(tc_prod(_u2641, _u2643), tc_fun(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), tc_HOL_Obool), _u2643, c_member(tc_prod(_u2641, _u2643)))), c_Product__Type_OPair(_u2641, _u2643)))), _u2647)) | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2641, _u2643), tc_HOL_Obool), _u2645, _u2647) )).
% 43.94/44.12 cnf(matrix-903, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), _u2646, _u2648) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2642, tc_fun(_u2644, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2642, tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_fun(_u2644, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2644, tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_fun(_u2644, tc_HOL_Obool)), _u2642, c_COMBC(_u2644, tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2644, tc_prod(_u2642, _u2644)), tc_fun(_u2644, tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), _u2642, c_COMBB(tc_prod(_u2642, _u2644), tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool), _u2644, c_member(tc_prod(_u2642, _u2644)))), c_Product__Type_OPair(_u2642, _u2644)))), _u2646), hAPP(hAPP(c_COMBC(_u2642, tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_fun(_u2644, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2644, tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_fun(_u2644, tc_HOL_Obool)), _u2642, c_COMBC(_u2644, tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2644, tc_prod(_u2642, _u2644)), tc_fun(_u2644, tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool)), _u2642, c_COMBB(tc_prod(_u2642, _u2644), tc_fun(tc_fun(tc_prod(_u2642, _u2644), tc_HOL_Obool), tc_HOL_Obool), _u2644, c_member(tc_prod(_u2642, _u2644)))), c_Product__Type_OPair(_u2642, _u2644)))), _u2648)) )).
% 43.94/44.12 cnf(matrix-904, plain, ( ~class_Groups_Oordered__ab__group__add(_u2649) | ( c_Groups_Ominus__class_Ominus(_u2649, _u2650, _u2651) != c_Groups_Ominus__class_Ominus(_u2649, _u2652, _u2653)) | ~c_Orderings_Oord__class_Oless__eq(_u2649, _u2650, _u2651) | c_Orderings_Oord__class_Oless__eq(_u2649, _u2652, _u2653) )).
% 43.94/44.12 cnf(matrix-905, plain, ( ~class_Groups_Oordered__ab__group__add(_u2649) | ( c_Groups_Ominus__class_Ominus(_u2649, _u2650, _u2651) != c_Groups_Ominus__class_Ominus(_u2649, _u2652, _u2653)) | ~c_Orderings_Oord__class_Oless__eq(_u2649, _u2652, _u2653) | c_Orderings_Oord__class_Oless__eq(_u2649, _u2650, _u2651) )).
% 43.94/44.12 cnf(matrix-906, plain, ( ~c_Fun_Oinj__on(_u2654, _u2655, _u2656, _u2657) | ~hBOOL(hAPP(hAPP(c_member(_u2655), _u2658), c_Set_Oimage(_u2654, _u2655, _u2656, _u2657))) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2654, tc_HOL_Obool), _u2657, _u2659) | hBOOL(hAPP(hAPP(c_member(_u2654), hAPP(c_Fun_Othe__inv__into(_u2654, _u2655, _u2657, _u2656), _u2658)), _u2659)) )).
% 43.94/44.12 cnf(matrix-907, plain, ( ~hBOOL(hAPP(hAPP(_u2660, _u2661), _u2662)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2663, tc_fun(_u2664, tc_HOL_Obool)), _u2660, _u2665) | hBOOL(hAPP(hAPP(_u2665, _u2661), _u2662)) )).
% 43.94/44.12 cnf(matrix-908, plain, ( ~hBOOL(hAPP(hAPP(_u2668, _u2670), _u2671)) | hBOOL(hAPP(hAPP(_u2669, _u2670), _u2671)) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2666, tc_fun(_u2667, tc_HOL_Obool)), _u2668, _u2669) )).
% 43.94/44.12 cnf(matrix-909, plain, ( ~class_Groups_Oab__group__add(_u2672) | ( c_Groups_Ominus__class_Ominus(_u2672, _u2673, _u2674) != c_Groups_Ominus__class_Ominus(_u2672, _u2675, _u2676)) | ( _u2673 != _u2674) | ( _u2675 = _u2676) )).
% 43.94/44.12 cnf(matrix-910, plain, ( ~class_Groups_Oab__group__add(_u2672) | ( c_Groups_Ominus__class_Ominus(_u2672, _u2673, _u2674) != c_Groups_Ominus__class_Ominus(_u2672, _u2675, _u2676)) | ( _u2675 != _u2676) | ( _u2673 = _u2674) )).
% 43.94/44.12 cnf(matrix-911, plain, ( ~c_Fun_Oinj__on(_u2677, _u2678, _u2679, _u2680) | ( hAPP(_u2679, _u2681) != _u2682) | ~hBOOL(hAPP(hAPP(c_member(_u2677), _u2681), _u2680)) | ( hAPP(c_Fun_Othe__inv__into(_u2677, _u2678, _u2680, _u2679), _u2682) = _u2681) )).
% 43.94/44.12 cnf(matrix-912, plain, ( ~c_Fun_Oinj__on(_u2683, _u2684, _u2685, _u2686) | ~hBOOL(hAPP(hAPP(c_member(_u2683), _u2687), _u2686)) | ( hAPP(c_Fun_Othe__inv__into(_u2683, _u2684, _u2686, _u2685), hAPP(_u2685, _u2687)) = _u2687) )).
% 43.94/44.12 cnf(matrix-913, plain, ( ~c_Fun_Oinj__on(_u2688, _u2689, _u2690, _u2691) | c_Fun_Oinj__on(_u2689, _u2688, c_Fun_Othe__inv__into(_u2688, _u2689, _u2691, _u2690), c_Set_Oimage(_u2688, _u2689, _u2690, _u2691)) )).
% 43.94/44.12 cnf(matrix-914, plain, ( ~c_Fun_Oinj__on(_u2692, _u2693, _u2694, _u2695) | ( c_Set_Oimage(_u2693, _u2692, c_Fun_Othe__inv__into(_u2692, _u2693, _u2695, _u2694), c_Set_Oimage(_u2692, _u2693, _u2694, _u2695)) = _u2695) )).
% 43.94/44.12 cnf(matrix-915, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u2696, _u2697, _u2698, _u2699), _u2700) = c_HOL_OThe(_u2696, hAPP(hAPP(c_COMBS(_u2696, tc_HOL_Obool, tc_HOL_Obool), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2696, c_fconj), hAPP(hAPP(c_COMBC(_u2696, tc_fun(_u2696, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2696)), _u2698))), hAPP(hAPP(c_COMBC(_u2696, _u2697, tc_HOL_Obool), hAPP(c_COMBB(_u2697, tc_fun(_u2697, tc_HOL_Obool), _u2696, c_fequal), _u2699)), _u2700)))) )).
% 43.94/44.12 cnf(matrix-916, plain, ( ~c_Fun_Oinj__on(_u2701, _u2702, _u2703, _u2704) | ~hBOOL(hAPP(hAPP(c_member(_u2702), _u2705), c_Set_Oimage(_u2701, _u2702, _u2703, _u2704))) | ( hAPP(_u2703, hAPP(c_Fun_Othe__inv__into(_u2701, _u2702, _u2704, _u2703), _u2705)) = _u2705) )).
% 43.94/44.12 cnf(matrix-917, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2706), _u2707), _u2708) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2706, tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool), _u2707, hAPP(hAPP(c_COMBC(_u2706, tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_u2706, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool)), _u2706, c_Set_Oinsert(tc_fun(_u2706, tc_HOL_Obool))), hAPP(c_COMBB(tc_fun(_u2706, tc_HOL_Obool), tc_fun(_u2706, tc_HOL_Obool), _u2706, c_Relation_OImage(_u2706, _u2706, _u2708)), hAPP(hAPP(c_COMBC(_u2706, tc_fun(_u2706, tc_HOL_Obool), tc_fun(_u2706, tc_HOL_Obool)), c_Set_Oinsert(_u2706)), c_Orderings_Obot__class_Obot(tc_fun(_u2706, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2706, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 43.94/44.12 cnf(matrix-918, plain, ( ~c_Equiv__Relations_Ocongruent(_u2709, _u2710, _u2711, _u2712) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u2709, _u2709)), hAPP(hAPP(c_Product__Type_OPair(_u2709, _u2709), _u2713), _u2714)), _u2711)) | ( hAPP(_u2712, _u2713) = hAPP(_u2712, _u2714)) )).
% 43.94/44.12 cnf(matrix-919, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2715), _u2716), _u2717)) | ~hBOOL(hAPP(hAPP(_u2718, _u2716), _u2719)) | hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2715, tc_fun(_u2720, tc_HOL_Obool), _u2717, _u2718), _u2719)) )).
% 43.94/44.12 cnf(matrix-920, plain, ( ~hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2728, tc_fun(_u2730, tc_HOL_Obool), _u2732, _u2734), _u2736)) | hBOOL(hAPP(hAPP(c_member(_u2728), skolem93(_u2736, _u2734, _u2732, _u2730, _u2728)), _u2732)) )).
% 43.94/44.12 cnf(matrix-921, plain, ( ~hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2728, tc_fun(_u2730, tc_HOL_Obool), _u2732, _u2734), _u2736)) | hBOOL(hAPP(hAPP(_u2734, skolem93(_u2736, _u2734, _u2732, _u2730, _u2728)), _u2736)) )).
% 43.94/44.12 cnf(matrix-922, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2729), _u2722), _u2733)) | ~hBOOL(hAPP(hAPP(_u2735, _u2722), _u2737)) | hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2729, tc_fun(_u2731, tc_HOL_Obool), _u2733, _u2735), _u2737)) )).
% 43.94/44.12 cnf(matrix-923, plain, ( ( hAPP(c_Relation_OImage(_u2738, _u2739, _u2740), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2741, tc_fun(_u2738, tc_HOL_Obool), _u2742, _u2743)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2741, tc_fun(_u2739, tc_HOL_Obool), _u2742, hAPP(c_COMBB(tc_fun(_u2738, tc_HOL_Obool), tc_fun(_u2739, tc_HOL_Obool), _u2741, c_Relation_OImage(_u2738, _u2739, _u2740)), _u2743))) )).
% 43.94/44.12 cnf(matrix-924, plain, ( ~c_Equiv__Relations_Oequiv(_u2744, _u2745, _u2746) | ~c_Equiv__Relations_Ocongruent(_u2744, tc_fun(_u2747, tc_HOL_Obool), _u2746, _u2748) | ~hBOOL(hAPP(hAPP(c_member(_u2744), _u2749), _u2745)) | ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2744, tc_fun(_u2747, tc_HOL_Obool), hAPP(c_Relation_OImage(_u2744, _u2744, _u2746), hAPP(hAPP(c_Set_Oinsert(_u2744), _u2749), c_Orderings_Obot__class_Obot(tc_fun(_u2744, tc_HOL_Obool)))), _u2748) = hAPP(_u2748, _u2749)) )).
% 43.94/44.12 cnf(matrix-925, plain, ( ( hAPP(c_Relation_OImage(_u2750, _u2751, _u2752), _u2753) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2750, tc_fun(_u2751, tc_HOL_Obool), _u2753, hAPP(c_COMBB(tc_fun(_u2750, tc_HOL_Obool), tc_fun(_u2751, tc_HOL_Obool), _u2750, c_Relation_OImage(_u2750, _u2751, _u2752)), hAPP(hAPP(c_COMBC(_u2750, tc_fun(_u2750, tc_HOL_Obool), tc_fun(_u2750, tc_HOL_Obool)), c_Set_Oinsert(_u2750)), c_Orderings_Obot__class_Obot(tc_fun(_u2750, tc_HOL_Obool)))))) )).
% 43.94/44.12 cnf(matrix-926, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2754), _u2755), _u2756)) | ~hBOOL(hAPP(hAPP(c_member(_u2757), _u2758), hAPP(_u2759, _u2755))) | hBOOL(hAPP(hAPP(c_member(_u2757), _u2758), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2754, tc_fun(_u2757, tc_HOL_Obool), _u2756, _u2759))) )).
% 43.94/44.12 cnf(matrix-927, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 43.94/44.12 cnf(matrix-928, plain, ( ~class_Lattices_Obounded__lattice(_u2760) | class_Lattices_Obounded__lattice(tc_fun(_u2761, _u2760)) )).
% 43.94/44.12 cnf(matrix-929, plain, ( ~class_Lattices_Obounded__lattice(_u2762) | class_Lattices_Obounded__lattice__bot(tc_fun(_u2763, _u2762)) )).
% 43.94/44.12 cnf(matrix-930, plain, ( ~class_Lattices_Olattice(_u2764) | class_Lattices_Osemilattice__inf(tc_fun(_u2765, _u2764)) )).
% 43.94/44.12 cnf(matrix-931, plain, ( ~class_Orderings_Opreorder(_u2766) | class_Orderings_Opreorder(tc_fun(_u2767, _u2766)) )).
% 43.94/44.12 cnf(matrix-932, plain, ( ~class_Lattices_Olattice(_u2768) | class_Lattices_Olattice(tc_fun(_u2769, _u2768)) )).
% 43.94/44.12 cnf(matrix-933, plain, ( ~class_Orderings_Oorder(_u2770) | class_Orderings_Oorder(tc_fun(_u2771, _u2770)) )).
% 43.94/44.12 cnf(matrix-934, plain, ( ~class_Orderings_Oord(_u2772) | class_Orderings_Oord(tc_fun(_u2773, _u2772)) )).
% 43.94/44.12 cnf(matrix-935, plain, ( ~class_Orderings_Obot(_u2774) | class_Orderings_Obot(tc_fun(_u2775, _u2774)) )).
% 43.94/44.12 cnf(matrix-936, plain, ( ~class_Groups_Ominus(_u2776) | class_Groups_Ominus(tc_fun(_u2777, _u2776)) )).
% 43.94/44.12 cnf(matrix-937, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 43.94/44.12 cnf(matrix-938, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 43.94/44.12 cnf(matrix-939, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 43.94/44.12 cnf(matrix-940, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 43.94/44.12 cnf(matrix-941, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 43.94/44.12 cnf(matrix-942, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 43.94/44.12 cnf(matrix-943, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 43.94/44.12 cnf(matrix-944, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 43.94/44.12 cnf(matrix-945, plain, ( ( hAPP(c_COMBI(_u2778), _u2779) = _u2779) )).
% 43.94/44.12 cnf(matrix-946, plain, ( ( hAPP(c_COMBK(_u2780, _u2781, _u2782), _u2783) = _u2782) )).
% 43.94/44.12 cnf(matrix-947, plain, ( ( hAPP(hAPP(c_COMBB(_u2784, _u2785, _u2786, _u2787), _u2788), _u2789) = hAPP(_u2787, hAPP(_u2788, _u2789))) )).
% 43.94/44.12 cnf(matrix-948, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u2790, _u2791, _u2792), _u2793), _u2794), _u2795) = hAPP(hAPP(_u2793, _u2795), _u2794)) )).
% 43.94/44.12 cnf(matrix-949, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u2796, _u2797, _u2798), _u2799), _u2800), _u2801) = hAPP(hAPP(_u2799, _u2801), hAPP(_u2800, _u2801))) )).
% 43.94/44.12 cnf(matrix-950, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u2802), _u2803)) | ( _u2802 = _u2803) )).
% 43.94/44.12 cnf(matrix-951, plain, ( ( _u2804 != _u2805) | hBOOL(hAPP(hAPP(c_fequal, _u2804), _u2805)) )).
% 43.94/44.12 cnf(matrix-952, plain, ( ~hBOOL(hAPP(c_fNot, _u2806)) | ~hBOOL(_u2806) )).
% 43.94/44.12 cnf(matrix-953, plain, ( hBOOL(_u2807) | hBOOL(hAPP(c_fNot, _u2807)) )).
% 43.94/44.12 cnf(matrix-954, plain, ( ~hBOOL(_u2809) | ~hBOOL(_u2808) | hBOOL(hAPP(hAPP(c_fconj, _u2808), _u2809)) )).
% 43.94/44.12 cnf(matrix-955, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u2810), _u2811)) | hBOOL(_u2810) )).
% 43.94/44.12 cnf(matrix-956, plain, ( hBOOL(_u2813) | ~hBOOL(hAPP(hAPP(c_fconj, _u2812), _u2813)) )).
% 43.94/44.12 cnf(matrix-957, 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)) )).
% 43.94/44.12
% 43.94/44.12 % Proof stack:
% 43.94/44.12 cnf(proof-stack, plain,
% 43.94/44.12 proof_stack(
% 43.94/44.12 start(957),
% 43.94/44.12 left_branch(0, 265, 2, 2),
% 43.94/44.12 left_branch(0, 231, 0, 3),
% 43.94/44.12 right_branch(3),
% 43.94/44.12 left_branch(0, 177, 0, 4),
% 43.94/44.12 right_branch(4),
% 43.94/44.12 right_branch(2)
% 43.94/44.12 )).
% 43.94/44.12 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------