TSTP Solution File: SWV861-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWV861-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n016.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  : 600s
% DateTime : Wed Jul 20 18:23:44 EDT 2022

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV861-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n016.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
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 18:46:01 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.41  # No SInE strategy applied
% 0.19/0.41  # Auto-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S2k
% 0.19/0.41  # and selection function SelectCQArNTEqFirst.
% 0.19/0.41  #
% 0.19/0.41  # Number of axioms: 604 Number of unprocessed: 604
% 0.19/0.41  # Tableaux proof search.
% 0.19/0.41  # APR header successfully linked.
% 0.19/0.41  # Hello from C++
% 0.19/0.46  # The folding up rule is enabled...
% 0.19/0.46  # Local unification is enabled...
% 0.19/0.46  # Any saturation attempts will use folding labels...
% 0.19/0.46  # 604 beginning clauses after preprocessing and clausification
% 0.19/0.46  # Creating start rules for all 7 conjectures.
% 0.19/0.46  # There are 7 start rule candidates:
% 0.19/0.46  # Found 163 unit axioms.
% 0.19/0.46  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.46  # 7 start rule tableaux created.
% 0.19/0.46  # 441 extension rule candidate clauses
% 0.19/0.46  # 163 unit axiom clauses
% 0.19/0.46  
% 0.19/0.46  # Requested 8, 32 cores available to the main process.
% 0.19/0.46  # There are not enough tableaux to fork, creating more from the initial 7
% 0.19/0.46  # Closed tableau found in foldup close cycle with 0 folds and 2 closures done.
% 0.19/0.46  # There were 0 total branch saturation attempts.
% 0.19/0.46  # There were 0 of these attempts blocked.
% 0.19/0.46  # There were 0 deferred branch saturation attempts.
% 0.19/0.46  # There were 0 free duplicated saturations.
% 0.19/0.46  # There were 0 total successful branch saturations.
% 0.19/0.46  # There were 0 successful branch saturations in interreduction.
% 0.19/0.46  # There were 0 successful branch saturations on the branch.
% 0.19/0.46  # There were 0 successful branch saturations after the branch.
% 0.19/0.46  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Begin clausification derivation
% 0.19/0.46  
% 0.19/0.46  # End clausification derivation
% 0.19/0.46  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.46  cnf(i_0_1210, plain, (class_HOL_Oord(tc_bool))).
% 0.19/0.46  cnf(i_0_1200, plain, (class_HOL_Oord(tc_nat))).
% 0.19/0.46  cnf(i_0_1202, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 0.19/0.46  cnf(i_0_1192, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 0.19/0.46  cnf(i_0_1204, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 0.19/0.46  cnf(i_0_1194, plain, (class_Lattices_Odistrib__lattice(tc_nat))).
% 0.19/0.46  cnf(i_0_1207, plain, (class_Lattices_Olattice(tc_bool))).
% 0.19/0.46  cnf(i_0_1197, plain, (class_Lattices_Olattice(tc_nat))).
% 0.19/0.46  cnf(i_0_1205, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 0.19/0.46  cnf(i_0_1209, plain, (class_Orderings_Obot(tc_bool))).
% 0.19/0.46  cnf(i_0_1199, plain, (class_Orderings_Obot(tc_nat))).
% 0.19/0.46  cnf(i_0_1203, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 0.19/0.46  cnf(i_0_1193, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 0.19/0.46  cnf(i_0_1206, plain, (class_Orderings_Opreorder(tc_bool))).
% 0.19/0.46  cnf(i_0_1195, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.19/0.46  cnf(i_0_1208, plain, (class_Orderings_Oorder(tc_bool))).
% 0.19/0.46  cnf(i_0_1198, plain, (class_Orderings_Oorder(tc_nat))).
% 0.19/0.46  cnf(i_0_1196, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.19/0.46  cnf(i_0_1201, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 0.19/0.46  cnf(i_0_1025, plain, (c_Suc(X1)!=X1)).
% 0.19/0.46  cnf(i_0_1024, plain, (c_Suc(X1)!=X1)).
% 0.19/0.46  cnf(i_0_828, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.19/0.46  cnf(i_0_829, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.19/0.46  cnf(i_0_1159, plain, (hAPP(c_COMBI(t_a),v_P)=v_P)).
% 0.19/0.46  cnf(i_0_889, plain, (hAPP(c_COMBI(X1),X2)=X2)).
% 0.19/0.46  cnf(i_0_840, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.19/0.46  cnf(i_0_1068, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.19/0.46  cnf(i_0_794, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.19/0.46  cnf(i_0_1010, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.19/0.46  cnf(i_0_1191, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 0.19/0.46  cnf(i_0_1183, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.19/0.46  cnf(i_0_1185, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 0.19/0.46  cnf(i_0_1188, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.19/0.46  cnf(i_0_1186, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.46  cnf(i_0_1190, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 0.19/0.46  cnf(i_0_1184, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.19/0.46  cnf(i_0_1187, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.19/0.46  cnf(i_0_1189, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.19/0.46  cnf(i_0_1182, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 0.19/0.46  cnf(i_0_1020, plain, (c_Com_Ocom_OSemi(X3,X4)!=c_Com_Ocom_OWhile(X1,X2))).
% 0.19/0.46  cnf(i_0_804, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))).
% 0.19/0.46  cnf(i_0_936, plain, (X2=X4|c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))).
% 0.19/0.46  cnf(i_0_802, plain, (X2=X4|c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 0.19/0.46  cnf(i_0_935, plain, (X1=X3|c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))).
% 0.19/0.46  cnf(i_0_803, plain, (X1=X3|c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 0.19/0.46  cnf(i_0_1033, plain, (c_lessequals(X1,X1,tc_nat))).
% 0.19/0.46  cnf(i_0_1035, plain, (c_lessequals(X1,X1,tc_nat))).
% 0.19/0.46  cnf(i_0_855, plain, (c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1))).
% 0.19/0.46  cnf(i_0_1037, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Opreorder(X1))).
% 0.19/0.46  cnf(i_0_1036, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Oorder(X1))).
% 0.19/0.46  cnf(i_0_720, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1)=X2|~class_Lattices_Oupper__semilattice(X1))).
% 0.19/0.46  cnf(i_0_1027, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1)=X2|~class_Lattices_Olower__semilattice(X1))).
% 0.19/0.46  cnf(i_0_937, plain, (c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat))).
% 0.19/0.46  cnf(i_0_1175, negated_conjecture, (hBOOL(hAPP(hAPP(v_P,v_Z),v_s)))).
% 0.19/0.46  cnf(i_0_801, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 0.19/0.46  cnf(i_0_700, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.46  cnf(i_0_699, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.46  cnf(i_0_816, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Obot__class_Obot(X1),X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.46  cnf(i_0_817, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.46  cnf(i_0_639, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_640, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_719, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 0.19/0.46  cnf(i_0_1028, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 0.19/0.46  cnf(i_0_950, plain, (X1=X2|~c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1))).
% 0.19/0.46  cnf(i_0_917, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.19/0.46  cnf(i_0_939, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.19/0.46  cnf(i_0_854, plain, (X1!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~hBOOL(hAPP(X1,X3)))).
% 0.19/0.46  cnf(i_0_1013, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))!=X2|~hBOOL(hAPP(X2,X3)))).
% 0.19/0.46  cnf(i_0_1015, plain, (~c_lessequals(c_Suc(X1),X1,tc_nat))).
% 0.19/0.46  cnf(i_0_853, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.46  cnf(i_0_851, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.46  cnf(i_0_852, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.46  cnf(i_0_750, plain, (X3=c_Orderings_Obot__class_Obot(X1)|c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.46  cnf(i_0_749, plain, (X2=c_Orderings_Obot__class_Obot(X1)|c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.46  cnf(i_0_1178, negated_conjecture, (~hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)))).
% 0.19/0.46  cnf(i_0_1211, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))).
% 0.19/0.46  cnf(i_0_1071, plain, (c_lessequals(X2,X1,tc_nat)|c_lessequals(X1,X2,tc_nat))).
% 0.19/0.46  cnf(i_0_941, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 0.19/0.46  cnf(i_0_807, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 0.19/0.46  cnf(i_0_815, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OWhile(X4,X5))).
% 0.19/0.46  cnf(i_0_820, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSemi(X4,X5))).
% 0.19/0.46  cnf(i_0_1168, plain, (hAPP(c_COMBK(v_P,t_a,t_b),v_Q)=v_P)).
% 0.19/0.46  cnf(i_0_797, plain, (hBOOL(hAPP(X1,X3))|c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X3))).
% 0.19/0.46  cnf(i_0_923, plain, (c_lessequals(X2,X1,tc_nat)|c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.19/0.46  cnf(i_0_757, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.19/0.46  cnf(i_0_758, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_915, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)=c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_914, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)=c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)|~class_Lattices_Olower__semilattice(X1))).
% 0.19/0.46  cnf(i_0_1072, plain, (c_lessequals(X3,X2,X1)|c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.46  cnf(i_0_893, plain, (c_lessequals(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.46  cnf(i_0_899, plain, (c_lessequals(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.46  cnf(i_0_897, plain, (c_lessequals(X2,X3,X1)|c_HOL_Oord__class_Oless(X3,X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.46  cnf(i_0_895, plain, (c_lessequals(X2,X2,X1)|c_HOL_Oord__class_Oless(X2,X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.46  cnf(i_0_857, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.46  cnf(i_0_975, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.46  cnf(i_0_978, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.46  cnf(i_0_979, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.46  cnf(i_0_856, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.46  cnf(i_0_890, plain, (hAPP(c_COMBK(X1,X2,X3),X4)=X1)).
% 0.19/0.46  cnf(i_0_850, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_709, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_697, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 0.19/0.46  cnf(i_0_698, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 0.19/0.46  cnf(i_0_1012, plain, (c_lessequals(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.46  cnf(i_0_1011, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.19/0.46  cnf(i_0_983, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_982, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_611, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=X3|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_609, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=X2|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.46  cnf(i_0_912, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)=X3|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.46  cnf(i_0_910, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)=X2|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1067, plain, (c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.46  cnf(i_0_610, plain, (c_lessequals(X2,X3,X1)|c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)!=X3|~class_Lattices_Oupper__semilattice(X1))).
% 0.19/0.46  cnf(i_0_911, plain, (c_lessequals(X2,X3,X1)|c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)!=X2|~class_Lattices_Olower__semilattice(X1))).
% 0.19/0.46  cnf(i_0_1055, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1056, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1057, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1058, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1059, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1060, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1061, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1062, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1160, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3))).
% 0.19/0.46  cnf(i_0_943, plain, (X1=c_Suc(X2)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,c_Suc(X2),tc_nat))).
% 0.19/0.46  cnf(i_0_1099, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 0.19/0.46  cnf(i_0_1173, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 0.19/0.46  cnf(i_0_756, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_913, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_819, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_818, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_1066, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat))).
% 0.19/0.46  cnf(i_0_1023, plain, (X2=X3|hBOOL(hAPP(X1,X2))|~c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X4),X2,X3))).
% 0.19/0.46  cnf(i_0_736, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.19/0.46  cnf(i_0_739, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_735, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.19/0.46  cnf(i_0_740, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_1003, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_1007, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)|~class_Lattices_Olower__semilattice(X1))).
% 0.19/0.46  cnf(i_0_1002, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_1008, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)|~class_Lattices_Olower__semilattice(X1))).
% 0.19/0.46  cnf(i_0_693, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1)=X2|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_690, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)=X2|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_1212, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))).
% 0.19/0.46  cnf(i_0_858, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.46  cnf(i_0_827, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_823, plain, (X3=X6|c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.19/0.46  cnf(i_0_824, plain, (X2=X5|c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.19/0.46  cnf(i_0_825, plain, (X1=X4|c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.19/0.46  cnf(i_0_904, plain, (X3=X4|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X2)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.46  cnf(i_0_903, plain, (X2=X3|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X4)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.46  cnf(i_0_859, plain, (X1=X2|~c_Natural_Oevalc(X3,X4,X2)|~c_Natural_Oevalc(X3,X4,X1))).
% 0.19/0.46  cnf(i_0_922, plain, (~c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X2),X1,tc_nat))).
% 0.19/0.46  cnf(i_0_900, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.46  cnf(i_0_1073, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1074, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1069, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_896, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_898, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.46  cnf(i_0_894, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X2,X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.46  cnf(i_0_1070, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_621, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_860, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_976, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_977, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_747, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_748, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_826, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=X2)).
% 0.19/0.46  cnf(i_0_1100, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 0.19/0.46  cnf(i_0_1174, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 0.19/0.46  cnf(i_0_607, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_643, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_646, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_612, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_613, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_729, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_728, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_614, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)).
% 0.19/0.46  cnf(i_0_656, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_657, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_849, plain, (c_lessequals(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_830, plain, (~c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_655, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_841, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 0.19/0.46  cnf(i_0_608, plain, (c_lessequals(X2,X3,tc_fun(X4,X1))|~class_HOL_Oord(X1)|~c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1)))).
% 0.19/0.46  cnf(i_0_865, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)|~c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X1,X2),v_sko__Hoare__Mirabelle__Xhoare__valids__def__3(X1,X2),t_a))).
% 0.19/0.46  cnf(i_0_1034, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.46  cnf(i_0_760, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.19/0.46  cnf(i_0_761, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_1017, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1)=c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_1018, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1)=c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)|~class_Lattices_Olower__semilattice(X1))).
% 0.19/0.46  cnf(i_0_731, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_732, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_624, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_623, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_620, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_1032, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_1029, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_1039, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_1038, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(X4,X3,X1))).
% 0.19/0.46  cnf(i_0_881, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_1031, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_1030, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(X4,X3,X1))).
% 0.19/0.46  cnf(i_0_883, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_770, plain, (c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)|~class_HOL_Oord(X1)|~c_lessequals(X2,X4,tc_fun(X5,X1)))).
% 0.19/0.46  cnf(i_0_1176, negated_conjecture, (c_Natural_Oevaln(v_c,v_s,v_n,v_s1))).
% 0.19/0.46  cnf(i_0_1177, negated_conjecture, (c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H))).
% 0.19/0.46  cnf(i_0_1145, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))).
% 0.19/0.46  cnf(i_0_691, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_692, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1179, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(v_n,X1,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)))).
% 0.19/0.46  cnf(i_0_908, plain, (c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)|~c_Natural_Oevalc(X2,X5,X4)|~c_Natural_Oevalc(X1,X3,X5))).
% 0.19/0.46  cnf(i_0_809, plain, (c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1))).
% 0.19/0.46  cnf(i_0_791, plain, (c_Set_Oimage(c_COMBI(X1),X2,X1,X1)=X2)).
% 0.19/0.46  cnf(i_0_831, plain, (c_Set_Ovimage(c_COMBI(X1),X2,X1,X1)=X2)).
% 0.19/0.46  cnf(i_0_633, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_634, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_769, plain, (c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_768, plain, (c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_932, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X3,X4,X1))).
% 0.19/0.46  cnf(i_0_931, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_980, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)|~class_Lattices_Olower__semilattice(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1))).
% 0.19/0.46  cnf(i_0_981, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)|~class_Lattices_Olower__semilattice(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_721, plain, (~class_HOL_Oord(X1)|~c_lessequals(X2,X3,tc_fun(X4,X1))|~c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)))).
% 0.19/0.46  cnf(i_0_839, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_989, plain, (hBOOL(hAPP(X1,X4))|c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)|~c_Natural_Oevalc(X3,X4,X5))).
% 0.19/0.46  cnf(i_0_780, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__3(X1,X2)),X2)))).
% 0.19/0.46  cnf(i_0_906, plain, (c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)|~c_Natural_Oevalc(X2,X4,X5)|~hBOOL(hAPP(X1,X4)))).
% 0.19/0.46  cnf(i_0_694, plain, (c_lessequals(X3,X2,tc_fun(X4,X1))|c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1))|~class_HOL_Oord(X1)|~c_lessequals(X2,X3,tc_fun(X4,X1)))).
% 0.19/0.46  cnf(i_0_909, plain, (c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3))).
% 0.19/0.46  cnf(i_0_1151, plain, (hBOOL(hAPP(X1,X3))|c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3))).
% 0.19/0.46  cnf(i_0_759, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1019, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_879, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X1),X2)=X1|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1050, plain, (c_lessequals(X5,X4,X1)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.46  cnf(i_0_1051, plain, (c_lessequals(X3,X2,X1)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X5,X4,X1))).
% 0.19/0.46  cnf(i_0_1052, plain, (c_HOL_Oord__class_Oless(X4,X5,X1)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1053, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X4,X5,X1))).
% 0.19/0.46  cnf(i_0_930, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1))).
% 0.19/0.46  cnf(i_0_934, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1))).
% 0.19/0.46  cnf(i_0_929, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1))).
% 0.19/0.46  cnf(i_0_933, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1))).
% 0.19/0.46  cnf(i_0_631, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1))).
% 0.19/0.46  cnf(i_0_635, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1))).
% 0.19/0.46  cnf(i_0_632, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1))).
% 0.19/0.46  cnf(i_0_636, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1))).
% 0.19/0.46  cnf(i_0_641, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_644, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_645, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_882, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_938, plain, (c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_905, plain, (c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1063, plain, (c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_725, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.19/0.46  cnf(i_0_726, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_833, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)=c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_834, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)=c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)|~class_Lattices_Olower__semilattice(X1))).
% 0.19/0.46  cnf(i_0_724, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.19/0.46  cnf(i_0_727, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_832, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_835, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)|~class_Lattices_Olower__semilattice(X1))).
% 0.19/0.46  cnf(i_0_963, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_965, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_966, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_1163, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)|c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X1,X2),X3,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X1)))).
% 0.19/0.46  cnf(i_0_988, plain, (c_Natural_Oevalc(X1,X2,X3)|hBOOL(hAPP(X4,X2))|~c_Natural_Oevalc(c_Com_Ocom_OCond(X4,X5,X1),X2,X3))).
% 0.19/0.46  cnf(i_0_1004, plain, (c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1005, plain, (c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_1006, plain, (c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.46  cnf(i_0_734, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_737, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_738, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.46  cnf(i_0_901, plain, (c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X4)|~c_Natural_Oevalc(X2,X3,X5)|~hBOOL(hAPP(X1,X3))|~c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X5,X4))).
% 0.19/0.46  cnf(i_0_907, plain, (c_Natural_Oevalc(X3,X2,X4)|~hBOOL(hAPP(X1,X2))|~c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X5),X2,X4))).
% 0.19/0.46  cnf(i_0_964, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))))).
% 0.19/0.46  cnf(i_0_742, plain, (c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_1064, plain, (c_Natural_Oevalc(X4,X2,X3)|c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevalc(c_Com_Ocom_OCond(X5,X4,X1),X2,X3))).
% 0.19/0.46  cnf(i_0_1097, plain, (~hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))))).
% 0.19/0.46  cnf(i_0_702, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.19/0.46  cnf(i_0_701, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 0.19/0.46  cnf(i_0_1156, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1))).
% 0.19/0.46  cnf(i_0_940, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_924, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBK(X3,X1,X4),X4,X1)=X3|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.19/0.46  cnf(i_0_1162, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|~c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3),t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3)))).
% 0.19/0.46  cnf(i_0_771, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.19/0.46  cnf(i_0_772, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.19/0.46  cnf(i_0_773, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.19/0.46  cnf(i_0_774, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.19/0.46  cnf(i_0_1077, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_HOL_Oord__class_Oless(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.19/0.46  cnf(i_0_1049, plain, (hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(X1,X4)))).
% 0.19/0.46  cnf(i_0_920, plain, (c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_628, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)|~class_Lattices_Odistrib__lattice(X1))).
% 0.19/0.46  cnf(i_0_717, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)|~class_Lattices_Odistrib__lattice(X1))).
% 0.19/0.46  cnf(i_0_627, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)|~class_Lattices_Odistrib__lattice(X1))).
% 0.19/0.46  cnf(i_0_718, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)|~class_Lattices_Odistrib__lattice(X1))).
% 0.19/0.46  cnf(i_0_753, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_754, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_638, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_637, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_752, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_751, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_1157, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 0.19/0.46  cnf(i_0_1158, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 0.19/0.46  cnf(i_0_1101, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatMost(X3,X4,X1)))|~hBOOL(hAPP(hAPP(X3,X2),X4)))).
% 0.19/0.46  cnf(i_0_1112, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThan(X3,X4,X1)))|~hBOOL(hAPP(hAPP(X3,X4),X2)))).
% 0.19/0.46  cnf(i_0_1128, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OlessThan(X3,X4,X1)))|~hBOOL(hAPP(hAPP(X3,X2),X4)))).
% 0.19/0.46  cnf(i_0_1040, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Set_Oimage(X1,X2,X3,X4)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_796, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Set_Oimage(X2,X3,X4,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_1088, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X1,X3)))|~hBOOL(hAPP(X1,X4))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2)))).
% 0.19/0.46  cnf(i_0_973, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X1,X3)))|~hBOOL(hAPP(X1,X4))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2)))).
% 0.19/0.46  cnf(i_0_974, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X1,X3)))|~hBOOL(hAPP(X1,X4))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2)))).
% 0.19/0.46  cnf(i_0_1137, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X1,X3)))|~hBOOL(hAPP(X1,X4))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2)))).
% 0.19/0.46  cnf(i_0_722, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_837, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_723, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_836, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1143, plain, (X2=X3|hBOOL(hAPP(X1,X2))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X4),X2,X5,X3))).
% 0.19/0.46  cnf(i_0_1164, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|~c_Hoare__Mirabelle_Ohoare__valids(X4,X3,t_a)|~c_Hoare__Mirabelle_Otriple__valid(X1,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X4,X1),t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3)))).
% 0.19/0.46  cnf(i_0_625, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_626, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_730, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_733, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_741, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool))=X3|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_990, plain, (c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X2),X1),X4)))).
% 0.19/0.46  cnf(i_0_1169, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3)),X3))|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3)))).
% 0.19/0.46  cnf(i_0_847, plain, (c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_686, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=X2)).
% 0.19/0.46  cnf(i_0_946, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 0.19/0.46  cnf(i_0_947, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))).
% 0.19/0.46  cnf(i_0_1065, plain, (hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2)=X2)).
% 0.19/0.46  cnf(i_0_1161, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X4,X1)),X4))|~c_Hoare__Mirabelle_Ohoare__valids(X4,X3,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3)))).
% 0.19/0.46  cnf(i_0_776, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.19/0.46  cnf(i_0_775, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_1180, negated_conjecture, (hBOOL(hAPP(hAPP(v_Q,X1),X2))|~c_Natural_Oevaln(v_c,X3,v_n,X2)|~hBOOL(hAPP(hAPP(v_P,X1),X3)))).
% 0.19/0.46  cnf(i_0_1181, negated_conjecture, (hBOOL(hAPP(hAPP(v_R,X1),X2))|~c_Natural_Oevaln(v_d,X3,v_n,X2)|~hBOOL(hAPP(hAPP(v_Q,X1),X3)))).
% 0.19/0.46  cnf(i_0_1107, plain, (hBOOL(hAPP(X4,X2))|~hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_705, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X4,X1,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1113, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThan(X1,X2,X4))))).
% 0.19/0.46  cnf(i_0_1102, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatMost(X1,X3,X4))))).
% 0.19/0.46  cnf(i_0_1129, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4))))).
% 0.19/0.46  cnf(i_0_703, plain, (hBOOL(hAPP(X3,X2))|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 0.19/0.46  cnf(i_0_629, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_716, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_630, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_715, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_622, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_647, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1046, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(X4,X2))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_951, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X1,X3)))|~hBOOL(hAPP(X1,X5))|~hBOOL(hAPP(hAPP(c_in(X3),X5),X2))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2)))).
% 0.19/0.46  cnf(i_0_1148, plain, (c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)|~c_Natural_Oevaln(X1,X2,X3,X4))).
% 0.19/0.46  cnf(i_0_651, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4))=X4|~c_lessequals(X4,X2,tc_fun(X1,tc_bool))|~c_lessequals(X2,X3,tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_838, plain, (hAPP(X3,X5)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X5),X2)))).
% 0.19/0.46  cnf(i_0_814, plain, (hAPP(X2,X5)=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X5),X1)))).
% 0.19/0.46  cnf(i_0_880, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)))))).
% 0.19/0.46  cnf(i_0_678, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X1)).
% 0.19/0.46  cnf(i_0_677, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=X4)).
% 0.19/0.46  cnf(i_0_1144, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|~c_lessequals(X5,X3,tc_nat)|~c_Natural_Oevaln(X1,X2,X5,X4))).
% 0.19/0.46  cnf(i_0_766, plain, (c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))|~c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_1087, plain, (hBOOL(hAPP(X4,X2))|hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1)),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_952, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_953, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_875, plain, (c_lessequals(hAPP(X2,X3),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,X1),X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4)))).
% 0.19/0.46  cnf(i_0_962, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X3,X1)),X2))|~hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2)))).
% 0.19/0.46  cnf(i_0_1109, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X3,X1)),X2))|~hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2)))).
% 0.19/0.46  cnf(i_0_1126, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X3,X1)),X2))|~hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2)))).
% 0.19/0.46  cnf(i_0_1136, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X3,X1)),X2))|~hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2)))).
% 0.19/0.46  cnf(i_0_1091, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_942, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_1092, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_642, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,X5,X3,X4)|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1093, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 0.19/0.46  cnf(i_0_1094, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 0.19/0.46  cnf(i_0_1095, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 0.19/0.46  cnf(i_0_1096, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X4,X5,X6)|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 0.19/0.46  cnf(i_0_1146, plain, (hBOOL(hAPP(X1,X4))|c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)|~c_Natural_Oevaln(X3,X4,X5,X6))).
% 0.19/0.46  cnf(i_0_993, plain, (X3=X7|c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4)!=c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4))).
% 0.19/0.46  cnf(i_0_992, plain, (X2=X6|c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4)!=c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4))).
% 0.19/0.46  cnf(i_0_991, plain, (X1=X5|c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4)!=c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4))).
% 0.19/0.46  cnf(i_0_886, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool)))=X2)).
% 0.19/0.46  cnf(i_0_1152, plain, (c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)|~hBOOL(hAPP(X1,X4))|~c_Natural_Oevaln(X2,X4,X5,X6))).
% 0.19/0.46  cnf(i_0_706, plain, (c_lessequals(X4,X1,tc_fun(X3,tc_bool))|c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))!=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_767, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),X2),X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_670, plain, (c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 0.19/0.46  cnf(i_0_1042, plain, (c_Lattices_Olower__semilattice__class_Oinf(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool))),X4))).
% 0.19/0.46  cnf(i_0_1147, plain, (hBOOL(hAPP(X5,X2))|c_Natural_Oevaln(X1,X2,X3,X4)|~c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X6,X1),X2,X3,X4))).
% 0.19/0.46  cnf(i_0_1153, plain, (c_Natural_Oevaln(X3,X2,X4,X5)|~hBOOL(hAPP(X1,X2))|~c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5))).
% 0.19/0.46  cnf(i_0_892, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),X3)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3))).
% 0.19/0.46  cnf(i_0_777, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_764, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4))).
% 0.19/0.46  cnf(i_0_765, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 0.19/0.46  cnf(i_0_695, plain, (c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))|~c_lessequals(X5,X3,tc_fun(X1,tc_bool))|~c_lessequals(X2,X4,tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_684, plain, (c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4)=c_Finite__Set_Ocard(X2,X3)|~c_Fun_Oinj__on(X1,X2,X3,X4))).
% 0.19/0.46  cnf(i_0_667, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1),X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_666, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1),X1)|~class_Lattices_Olattice(X1))).
% 0.19/0.46  cnf(i_0_972, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X3,X1)),X2))|~hBOOL(hAPP(X3,X5))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X2))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2)))).
% 0.19/0.46  cnf(i_0_795, plain, (c_Fun_Oinj__on(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5)|~c_Fun_Oinj__on(X1,X3,X2,X5))).
% 0.19/0.46  cnf(i_0_687, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))).
% 0.19/0.46  cnf(i_0_688, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_1103, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_1104, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_842, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X2,tc_bool))))).
% 0.19/0.46  cnf(i_0_843, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X1,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))).
% 0.19/0.46  cnf(i_0_1081, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_1082, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_1172, plain, (hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(hAPP(v_P,v_R),v_Q))).
% 0.19/0.46  cnf(i_0_848, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool))),X4))).
% 0.19/0.46  cnf(i_0_1155, plain, (c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(X2,X6,X4,X5)|~c_Natural_Oevaln(X1,X3,X4,X6))).
% 0.19/0.46  cnf(i_0_1142, plain, (c_Natural_Oevaln(X5,X2,X3,X4)|c_Natural_Oevaln(X1,X2,X3,X4)|~c_Natural_Oevaln(c_Com_Ocom_OCond(X6,X5,X1),X2,X3,X4))).
% 0.19/0.46  cnf(i_0_888, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X1,X6),X5))).
% 0.19/0.46  cnf(i_0_672, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 0.19/0.46  cnf(i_0_755, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))),X4))).
% 0.19/0.46  cnf(i_0_955, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_956, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_954, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))|~hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_957, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))|~hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_1154, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)|~hBOOL(hAPP(X1,X3))|~c_Natural_Oevaln(X2,X3,X4,X6)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X6,X4,X5))).
% 0.19/0.46  cnf(i_0_1048, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 0.19/0.46  cnf(i_0_971, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4))))).
% 0.19/0.46  cnf(i_0_1054, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=hAPP(c_fequal(X1),X2))).
% 0.19/0.46  cnf(i_0_653, plain, (c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_652, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_746, plain, (c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_615, plain, (c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4)=X1)).
% 0.19/0.46  cnf(i_0_617, plain, (c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4)=X1)).
% 0.19/0.46  cnf(i_0_619, plain, (c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4)=X1)).
% 0.19/0.46  cnf(i_0_1124, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))|~hBOOL(hAPP(X1,X5))|~hBOOL(hAPP(hAPP(c_in(X4),X5),X3)))).
% 0.19/0.46  cnf(i_0_1125, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))|~hBOOL(hAPP(X1,X5))|~hBOOL(hAPP(hAPP(c_in(X4),X5),X2)))).
% 0.19/0.46  cnf(i_0_970, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),X3))))).
% 0.19/0.46  cnf(i_0_671, plain, (c_lessequals(hAPP(X1,X2),X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X6))|~c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X6,X1,X5,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_1083, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_1084, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_668, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X3),X6))|~c_lessequals(c_Set_Oimage(X2,X6,X5,X1),X4,tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_1127, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool))=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 0.19/0.46  cnf(i_0_1165, plain, (c_Hoare__Mirabelle_Opeek__and(v_P,v_p,v_Z,v_s,t_a)=c_and(hAPP(hAPP(v_P,v_Z),v_s),hAPP(v_p,v_s)))).
% 0.19/0.46  cnf(i_0_1166, plain, (c_Hoare__Mirabelle_Opeek__and(X1,X2,v_Z,v_s,t_a)=c_and(hAPP(hAPP(X1,v_Z),v_s),hAPP(X2,v_s)))).
% 0.19/0.46  cnf(i_0_961, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))|~hBOOL(hAPP(hAPP(X3,X4),X2))|~hBOOL(hAPP(hAPP(X3,X2),X5)))).
% 0.19/0.46  cnf(i_0_967, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThanLessThan(X3,X4,X5,X1)))|~hBOOL(hAPP(hAPP(X3,X4),X2))|~hBOOL(hAPP(hAPP(X3,X2),X5)))).
% 0.19/0.46  cnf(i_0_1138, plain, (hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_1139, plain, (hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_1140, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4)))).
% 0.19/0.46  cnf(i_0_1141, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4)))).
% 0.19/0.46  cnf(i_0_1131, plain, (hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))|~hBOOL(hAPP(hAPP(X2,X6),X5))|~hBOOL(hAPP(hAPP(c_in(X3),X6),X1)))).
% 0.19/0.46  cnf(i_0_1133, plain, (hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))|~hBOOL(hAPP(hAPP(X2,X6),X5))|~hBOOL(hAPP(hAPP(c_in(X3),X6),X1)))).
% 0.19/0.46  cnf(i_0_683, plain, (X2=X5|c_Set_Oimage(X1,X2,X3,X4)!=c_Set_Oimage(X1,X5,X3,X4)|~c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 0.19/0.46  cnf(i_0_1115, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)))).
% 0.19/0.46  cnf(i_0_1116, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)))).
% 0.19/0.46  cnf(i_0_1117, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)))).
% 0.19/0.46  cnf(i_0_1167, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Natural_Oevaln(X4,X5,X6,X3)|~hBOOL(hAPP(hAPP(X7,X2),X5))|~c_Hoare__Mirabelle_Otriple__valid(X6,c_Hoare__Mirabelle_Otriple_Otriple(X7,X4,X1,t_a),t_a))).
% 0.19/0.46  cnf(i_0_658, plain, (c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)))).
% 0.19/0.46  cnf(i_0_762, plain, (c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)))).
% 0.19/0.46  cnf(i_0_949, plain, (c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X5,X4)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)))).
% 0.19/0.46  cnf(i_0_844, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_689, plain, (c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_648, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,X3,tc_fun(X5,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X4,X3,tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 0.19/0.46  cnf(i_0_1110, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X5),X6),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6))))).
% 0.19/0.46  cnf(i_0_1111, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X5),X6),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6))))).
% 0.19/0.46  cnf(i_0_1041, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2))).
% 0.19/0.46  cnf(i_0_1047, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 0.19/0.46  cnf(i_0_877, plain, (c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X5),X4)))).
% 0.19/0.46  cnf(i_0_1098, plain, (X2=X3|hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2)!=hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3))).
% 0.19/0.46  cnf(i_0_997, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_808, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1123, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastAtMost(X1,X2,X5,X4))))).
% 0.19/0.46  cnf(i_0_1089, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThanLessThan(X1,X2,X5,X4))))).
% 0.19/0.46  cnf(i_0_1122, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X5,X3,X4))))).
% 0.19/0.46  cnf(i_0_1090, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OgreaterThanLessThan(X1,X5,X3,X4))))).
% 0.19/0.46  cnf(i_0_921, plain, (hBOOL(hAPP(hAPP(c_in(X3),X1),X2))|c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_763, plain, (hAPP(X1,X2)=X3|c_Fun_Ofun__upd(X1,X2,X3,X4,X5)!=X1)).
% 0.19/0.46  cnf(i_0_1118, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))))).
% 0.19/0.46  cnf(i_0_1119, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))))).
% 0.19/0.46  cnf(i_0_743, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_926, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),hAPP(X1,X2)),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))=c_Set_Oimage(X1,X3,X4,X5)|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 0.19/0.46  cnf(i_0_787, plain, (c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))|~c_Fun_Oinj__on(X1,X6,X4,X5)|~c_lessequals(X3,X6,tc_fun(X4,tc_bool))|~c_lessequals(X2,X6,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_798, plain, (c_Set_Ovimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X5,X2)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)))).
% 0.19/0.46  cnf(i_0_1105, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_1106, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_708, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_713, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_616, plain, (hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2)=X3)).
% 0.19/0.46  cnf(i_0_618, plain, (hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2)=X3)).
% 0.19/0.46  cnf(i_0_1170, plain, (hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R)=hAPP(v_P,hAPP(v_Q,v_R)))).
% 0.19/0.46  cnf(i_0_649, plain, (X2=X6|hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6)=hAPP(X1,X6))).
% 0.19/0.46  cnf(i_0_650, plain, (X2=X6|hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6)=hAPP(X1,X6))).
% 0.19/0.46  cnf(i_0_676, plain, (c_lessequals(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3),tc_fun(X1,tc_bool))|~c_lessequals(X2,X3,tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_1171, plain, (hAPP(c_COMBS(v_P,v_Q,t_a,t_b,t_c),v_R)=hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)))).
% 0.19/0.46  cnf(i_0_887, plain, (hAPP(c_COMBB(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 0.19/0.46  cnf(i_0_927, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))|hBOOL(hAPP(hAPP(c_in(X4),X2),X1)))).
% 0.19/0.46  cnf(i_0_928, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 0.19/0.46  cnf(i_0_891, plain, (hAPP(c_COMBS(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),hAPP(X2,X6)))).
% 0.19/0.46  cnf(i_0_661, plain, (hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_663, plain, (hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_846, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 0.19/0.46  cnf(i_0_665, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 0.19/0.46  cnf(i_0_778, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(X4,X5))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X3)))).
% 0.19/0.46  cnf(i_0_779, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(X4,X5))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X2)))).
% 0.19/0.46  cnf(i_0_785, plain, (hBOOL(hAPP(hAPP(c_in(X4),X2),X3))|hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_784, plain, (hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_874, plain, (c_Finite__Set_Ocard(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1)=c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))|hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_789, plain, (c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))|~c_Fun_Oinj__on(X1,X6,X2,X5)|~c_lessequals(X4,X6,tc_fun(X2,tc_bool))|~c_lessequals(X3,X6,tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_861, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),X3),X2,X5),tc_fun(X5,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))|~c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X2,tc_bool)),X2,X5))).
% 0.19/0.46  cnf(i_0_1009, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_680, plain, (c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 0.19/0.46  cnf(i_0_669, plain, (c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)=c_Set_Oimage(X1,X6,X4,X5)|hBOOL(hAPP(hAPP(c_in(X4),X2),X6)))).
% 0.19/0.46  cnf(i_0_1130, plain, (hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))|~hBOOL(hAPP(hAPP(c_in(X3),X8),X1))|~hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7)))).
% 0.19/0.46  cnf(i_0_1132, plain, (hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))|~hBOOL(hAPP(hAPP(c_in(X3),X8),X1))|~hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7)))).
% 0.19/0.46  cnf(i_0_679, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,X3,tc_fun(X5,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 0.19/0.46  cnf(i_0_1085, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_1086, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 0.19/0.46  cnf(i_0_1016, plain, (c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6)=c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6))).
% 0.19/0.46  cnf(i_0_682, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(X1,X2,X3,X4),X5,X4,tc_fun(X6,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBB(X5,X1,X4,tc_fun(X6,tc_bool),X3),X3,tc_fun(X6,tc_bool)))).
% 0.19/0.46  cnf(i_0_681, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBB(X2,X3,X4,tc_fun(X5,tc_bool),X6),X6,tc_fun(X5,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(X3,X1,X6,X4),X2,X4,tc_fun(X5,tc_bool)))).
% 0.19/0.46  cnf(i_0_673, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_710, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_711, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_919, plain, (X1=X3|c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))!=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_714, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1108, plain, (X2=X4|hBOOL(hAPP(hAPP(c_in(X3),X1),X4))|hBOOL(hAPP(hAPP(c_in(X3),X1),X2))|c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool))!=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_664, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_999, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X1)))).
% 0.19/0.46  cnf(i_0_998, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 0.19/0.46  cnf(i_0_675, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_660, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|~c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_662, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|~c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_845, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2))|~c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_786, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X4),X2))|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|~c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1000, plain, (c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),X4,X5)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),hAPP(X1,X2)),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)))).
% 0.19/0.46  cnf(i_0_876, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),X2,tc_fun(X3,tc_bool)),X3,X4))).
% 0.19/0.46  cnf(i_0_781, plain, (c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)|hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Oimage(X1,X6,X4,X5)))|~c_Fun_Oinj__on(X1,X6,X4,X5))).
% 0.19/0.46  cnf(i_0_685, plain, (c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,X3,X4,X1)),c_Set_Oimage(X2,X5,X4,X1)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),X5),X4,X1),tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_812, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_1014, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X1)))).
% 0.19/0.46  cnf(i_0_925, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.19/0.46  cnf(i_0_1078, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_1079, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_1080, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_654, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_862, plain, (c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X2,tc_bool)),X2,X5)|c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),X3),X2,X5),tc_fun(X5,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))|~c_Fun_Oinj__on(X1,X4,X2,X5)|~c_Fun_Oinj__on(X1,X3,X2,X5))).
% 0.19/0.46  cnf(i_0_959, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.19/0.46  cnf(i_0_960, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.19/0.46  cnf(i_0_1045, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_696, plain, (c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5)=c_Fun_Ofun__upd(X1,X2,X6,X4,X5))).
% 0.19/0.46  cnf(i_0_790, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool))),X4)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.19/0.46  cnf(i_0_674, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|X1=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_958, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastLessThan(X3,X4,X5,X6,X1)))|~hBOOL(hAPP(hAPP(X4,X2),X6))|~hBOOL(hAPP(hAPP(X3,X5),X2)))).
% 0.19/0.46  cnf(i_0_969, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThanAtMost(X3,X4,X5,X6,X1)))|~hBOOL(hAPP(hAPP(X4,X5),X2))|~hBOOL(hAPP(hAPP(X3,X2),X6)))).
% 0.19/0.46  cnf(i_0_1114, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X1,X4,X5)))|~hBOOL(hAPP(X1,X6))|~hBOOL(hAPP(hAPP(c_in(X4),X7),X2))|~hBOOL(hAPP(hAPP(c_in(X5),X6),hAPP(X3,X7))))).
% 0.19/0.46  cnf(i_0_805, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))))).
% 0.19/0.46  cnf(i_0_872, plain, (c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))),X2,tc_nat)=c_Finite__Set_Osetsum(X1,X3,X2,tc_nat)|hBOOL(hAPP(hAPP(c_in(X2),X4),X3)))).
% 0.19/0.46  cnf(i_0_811, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_867, plain, (c_Set_Ovimage(X1,X2,X3,X4)=hAPP(c_COMBC(c_COMBB(c_in(X4),X1,X4,tc_fun(tc_fun(X4,tc_bool),tc_bool),X3),X3,tc_fun(X4,tc_bool),tc_bool),X2))).
% 0.19/0.46  cnf(i_0_744, plain, (c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4))).
% 0.19/0.46  cnf(i_0_745, plain, (c_Nitpick_Ofold__graph_H(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4))).
% 0.19/0.46  cnf(i_0_945, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool))),X4)|hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.19/0.46  cnf(i_0_1026, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))),tc_fun(X2,tc_bool))=X3|~hBOOL(hAPP(hAPP(c_in(X2),X1),X3)))).
% 0.19/0.46  cnf(i_0_885, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_902, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_948, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))=X3|hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.19/0.46  cnf(i_0_813, plain, (X2=X3|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X1,tc_fun(X4,tc_bool)),X2)))).
% 0.19/0.46  cnf(i_0_918, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))),tc_fun(X2,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),X3,tc_fun(X2,tc_bool)))).
% 0.19/0.46  cnf(i_0_704, plain, (X2=X6|c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5))).
% 0.19/0.46  cnf(i_0_968, plain, (X2=X4|hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X4),X3,tc_fun(X1,tc_bool)))))).
% 0.19/0.46  cnf(i_0_878, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))))).
% 0.19/0.46  cnf(i_0_1135, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastLessThan(X1,X5,X2,X6,X4))))).
% 0.19/0.46  cnf(i_0_1075, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThanAtMost(X5,X1,X2,X6,X4))))).
% 0.19/0.46  cnf(i_0_1134, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastLessThan(X5,X1,X6,X3,X4))))).
% 0.19/0.46  cnf(i_0_1076, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OgreaterThanAtMost(X1,X5,X6,X3,X4))))).
% 0.19/0.46  cnf(i_0_788, plain, (c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),X5,X4)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)))).
% 0.19/0.46  cnf(i_0_869, plain, (c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))),X4,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X3),X2))|~c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_792, plain, (hBOOL(hAPP(hAPP(c_in(X1),X3),X4))|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))),X4,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X3),X2))|~c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))).
% 0.19/0.46  cnf(i_0_712, plain, (c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Ominus__class_Ominus(X1),X2,X1,tc_fun(X1,X1),X3),X4,X3,X1,X1),X5,X3,X1)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),c_Finite__Set_Osetsum(X2,X5,X3,X1)),c_Finite__Set_Osetsum(X4,X5,X3,X1))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.46  cnf(i_0_707, plain, (X1=X2|~c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X5))).
% 0.19/0.46  cnf(i_0_783, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_870, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|~c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_871, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|~c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_863, plain, (hBOOL(hAPP(hAPP(c_in(X4),X2),X3))|c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_866, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_793, plain, (hBOOL(hAPP(hAPP(c_in(X4),X2),X3))|c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_799, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),X3,tc_fun(X4,tc_bool)))).
% 0.19/0.46  cnf(i_0_987, plain, (X2=X5|X2=X4|c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))!=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_986, plain, (X2=X5|X1=X5|c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))!=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_985, plain, (X2=X4|X1=X4|c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))!=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_984, plain, (X1=X5|X1=X4|c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))!=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.46  cnf(i_0_810, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X1,X4))))).
% 0.19/0.46  cnf(i_0_996, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X4,X5,X1)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X5,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(X4,X6))|~hBOOL(hAPP(hAPP(c_in(X5),X7),X2))|~hBOOL(hAPP(hAPP(c_in(X1),X6),hAPP(X3,X7))))).
% 0.19/0.46  cnf(i_0_806, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))),X4))).
% 0.19/0.46  cnf(i_0_1149, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X3,X1,X4,X2,X5,X6),X6)|~c_Natural_Oevaln(X3,X4,X8,X5)|~c_Natural_Oevaln(X1,X2,X7,X6))).
% 0.19/0.46  cnf(i_0_1150, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X1,X3,X2,X4,X5,X6),X5)|~c_Natural_Oevaln(X3,X4,X7,X6)|~c_Natural_Oevaln(X1,X2,X8,X5))).
% 0.19/0.46  cnf(i_0_864, plain, (c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X6),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),X4,X5),tc_fun(X5,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X6)))).
% 0.19/0.46  cnf(i_0_1001, plain, (hAPP(X1,X2)=X3|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),X4,X5))))).
% 0.19/0.46  cnf(i_0_659, plain, (hBOOL(hAPP(hAPP(c_in(X5),X3),X4))|c_Finite__Set_Ofold__graph(X1,X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),X4,tc_fun(X5,tc_bool)),hAPP(hAPP(X1,X3),X6),X5,X7)|~c_Finite__Set_Ofold__graph(X1,X2,X4,X6,X5,X7))).
% 0.19/0.46  cnf(i_0_873, plain, (c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)|~hBOOL(hAPP(hAPP(c_in(X6),X4),X3))|~c_Finite__Set_Ofold__graph(X1,X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X6,tc_bool)),X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X6),X6,X6,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool))),X5,X6,X7))).
% 0.19/0.46  cnf(i_0_868, plain, (c_Nitpick_Ofold__graph_H(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)|~hBOOL(hAPP(hAPP(c_in(X6),X4),X3))|~c_Nitpick_Ofold__graph_H(X1,X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X6,tc_bool)),X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X6),X6,X6,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool))),X5,X6,X7))).
% 0.19/0.46  cnf(i_0_884, plain, (c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),X4,X5)|hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),X4,X5)))|~c_Fun_Oinj__on(X1,X3,X4,X5))).
% 0.19/0.46  cnf(i_0_944, plain, (~c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X5,tc_fun(X4,tc_bool)),X4,X1)|~hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X5),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),X4,X1))))).
% 0.19/0.46  cnf(i_0_1021, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2))).
% 0.19/0.46  cnf(i_0_1022, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2))).
% 0.19/0.46  cnf(i_0_1121, plain, (hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4))|~c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5))).
% 0.19/0.46  cnf(i_0_1120, plain, (hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X4),X3))|~c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5))).
% 0.19/0.46  cnf(i_0_994, plain, (hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)))=hAPP(hAPP(X5,X2),hAPP(X1,X3))|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4))).
% 0.19/0.46  cnf(i_0_995, plain, (hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)))=hAPP(hAPP(X5,X2),hAPP(X1,X3))|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4))).
% 0.19/0.46  cnf(i_0_1043, plain, (hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))=X2|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3))).
% 0.19/0.46  cnf(i_0_1044, plain, (hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))=X2|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3))).
% 0.19/0.46  cnf(i_0_821, plain, (hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))=hAPP(hAPP(X5,X2),X3)|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4))).
% 0.19/0.46  cnf(i_0_822, plain, (hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))=hAPP(hAPP(X5,X2),X3)|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4))).
% 0.19/0.46  cnf(i_0_916, plain, (c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_COMBC(X3,X4,X4,tc_bool),c_COMBC(X5,X4,X4,tc_bool),X6,X7,X8,X9,X4)|~c_Complete__Lattice_Ocomplete__lattice(X2,X1,X3,X5,X7,X6,X9,X8,X4))).
% 0.19/0.46  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.46  # Begin printing tableau
% 0.19/0.46  # Found 6 steps
% 0.19/0.46  cnf(i_0_1181, negated_conjecture, (hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H))|~c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H)|~hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1))), inference(start_rule)).
% 0.19/0.46  cnf(i_0_1213, plain, (hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H))), inference(closure_rule, [i_0_1178])).
% 0.19/0.46  cnf(i_0_1214, plain, (~c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H)), inference(closure_rule, [i_0_1177])).
% 0.19/0.46  cnf(i_0_1215, plain, (~hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1))), inference(extension_rule, [i_0_1180])).
% 0.19/0.46  cnf(i_0_2410, plain, (~c_Natural_Oevaln(v_c,v_s,v_n,v_s1)), inference(closure_rule, [i_0_1176])).
% 0.19/0.46  cnf(i_0_2411, plain, (~hBOOL(hAPP(hAPP(v_P,v_Z),v_s))), inference(closure_rule, [i_0_1175])).
% 0.19/0.46  # End printing tableau
% 0.19/0.46  # SZS output end
% 0.19/0.46  # Branches closed with saturation will be marked with an "s"
% 0.19/0.46  # Returning from population with 52 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.46  # We now have 52 tableaux to operate on
% 0.19/0.46  # Found closed tableau during pool population.
% 0.19/0.46  # Proof search is over...
% 0.19/0.46  # Freeing feature tree
%------------------------------------------------------------------------------