TSTP Solution File: SCT016-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SCT016-1 : 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 : n011.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 : Mon Jul 18 21:24:10 EDT 2022

% Result   : Unsatisfiable 10.93s 2.07s
% Output   : CNFRefutation 10.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SCT016-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % 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 : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  2 00:56:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.37/0.57  # No SInE strategy applied
% 0.37/0.57  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.37/0.57  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.37/0.57  #
% 0.37/0.57  # Presaturation interreduction done
% 0.37/0.57  # Number of axioms: 1010 Number of unprocessed: 802
% 0.37/0.57  # Tableaux proof search.
% 0.37/0.57  # APR header successfully linked.
% 0.37/0.57  # Hello from C++
% 0.51/0.74  # The folding up rule is enabled...
% 0.51/0.74  # Local unification is enabled...
% 0.51/0.74  # Any saturation attempts will use folding labels...
% 0.51/0.74  # 802 beginning clauses after preprocessing and clausification
% 0.51/0.74  # Creating start rules for all 3 conjectures.
% 0.51/0.74  # There are 3 start rule candidates:
% 0.51/0.74  # Found 278 unit axioms.
% 0.51/0.74  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.51/0.74  # 3 start rule tableaux created.
% 0.51/0.74  # 524 extension rule candidate clauses
% 0.51/0.74  # 278 unit axiom clauses
% 0.51/0.74  
% 0.51/0.74  # Requested 8, 32 cores available to the main process.
% 0.51/0.74  # There are not enough tableaux to fork, creating more from the initial 3
% 0.51/0.74  # Returning from population with 46 new_tableaux and 0 remaining starting tableaux.
% 0.51/0.74  # We now have 46 tableaux to operate on
% 10.93/2.07  # There were 1 total branch saturation attempts.
% 10.93/2.07  # There were 0 of these attempts blocked.
% 10.93/2.07  # There were 0 deferred branch saturation attempts.
% 10.93/2.07  # There were 0 free duplicated saturations.
% 10.93/2.07  # There were 1 total successful branch saturations.
% 10.93/2.07  # There were 0 successful branch saturations in interreduction.
% 10.93/2.07  # There were 0 successful branch saturations on the branch.
% 10.93/2.07  # There were 1 successful branch saturations after the branch.
% 10.93/2.07  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.93/2.07  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.93/2.07  # Begin clausification derivation
% 10.93/2.07  
% 10.93/2.07  # End clausification derivation
% 10.93/2.07  # Begin listing active clauses obtained from FOF to CNF conversion
% 10.93/2.07  cnf(i_0_2019, plain, (class_Orderings_Oorder(tc_bool))).
% 10.93/2.07  cnf(i_0_2018, plain, (class_Lattices_Olattice(tc_bool))).
% 10.93/2.07  cnf(i_0_2012, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 10.93/2.07  cnf(i_0_2010, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 10.93/2.07  cnf(i_0_2017, plain, (class_Orderings_Opreorder(tc_bool))).
% 10.93/2.07  cnf(i_0_2015, plain, (class_Lattices_Oboolean__algebra(tc_bool))).
% 10.93/2.07  cnf(i_0_2013, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 10.93/2.07  cnf(i_0_2022, plain, (class_HOL_Ouminus(tc_bool))).
% 10.93/2.07  cnf(i_0_2011, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 10.93/2.07  cnf(i_0_2023, plain, (class_HOL_Ominus(tc_bool))).
% 10.93/2.07  cnf(i_0_2016, plain, (class_Finite__Set_Ofinite_Ofinite(tc_bool))).
% 10.93/2.07  cnf(i_0_2014, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 10.93/2.07  cnf(i_0_2021, plain, (class_Orderings_Obot(tc_bool))).
% 10.93/2.07  cnf(i_0_2020, plain, (class_Orderings_Otop(tc_bool))).
% 10.93/2.07  cnf(i_0_1942, plain, (hAPP(c_Collect(X1),X2)=X2)).
% 10.93/2.07  cnf(i_0_1959, plain, (hAPP(c_COMBI(X1),X2)=X2)).
% 10.93/2.07  cnf(i_0_1917, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))).
% 10.93/2.07  cnf(i_0_1581, plain, (c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))).
% 10.93/2.07  cnf(i_0_2029, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))).
% 10.93/2.07  cnf(i_0_1909, plain, (hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x))).
% 10.93/2.07  cnf(i_0_1058, plain, (c_Predicate_Oconversep(c_fequal(X1),X1,X1)=c_fequal(X1))).
% 10.93/2.07  cnf(i_0_1930, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))))).
% 10.93/2.07  cnf(i_0_1949, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2)=X2)).
% 10.93/2.07  cnf(i_0_1287, plain, (c_Hilbert__Choice_OEps(hAPP(c_fequal(X1),X2),X1)=X2)).
% 10.93/2.07  cnf(i_0_1785, plain, (c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1))).
% 10.93/2.07  cnf(i_0_1396, plain, (c_The(hAPP(c_fequal(X1),X2),X1)=X2)).
% 10.93/2.07  cnf(i_0_1104, plain, (hBOOL(c_Relation_Otrans(c_Transitive__Closure_Ortrancl(X1,X2),X2)))).
% 10.93/2.07  cnf(i_0_1168, plain, (hAPP(c_COMBK(X1,X2,X3),X4)=X1)).
% 10.93/2.07  cnf(i_0_1422, plain, (c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 10.93/2.07  cnf(i_0_1577, plain, (hBOOL(c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1)))).
% 10.93/2.07  cnf(i_0_1921, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=X2)).
% 10.93/2.07  cnf(i_0_1922, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2)=X2)).
% 10.93/2.07  cnf(i_0_1899, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X2)))).
% 10.93/2.07  cnf(i_0_1786, plain, (hAPP(c_Set_Oimage(c_COMBI(X1),X1,X1),X2)=X2)).
% 10.93/2.07  cnf(i_0_1775, plain, (hBOOL(c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1)))).
% 10.93/2.07  cnf(i_0_1938, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1939, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1244, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2)=X2)).
% 10.93/2.07  cnf(i_0_1587, plain, (c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3))).
% 10.93/2.07  cnf(i_0_1362, plain, (c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1048, plain, (c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2)=X1)).
% 10.93/2.07  cnf(i_0_1579, 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)))).
% 10.93/2.07  cnf(i_0_1619, plain, (c_Relation_OField(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1235, plain, (c_Predicate_Oconversep(c_Predicate_Oconversep(X1,X2,X3),X3,X2)=X1)).
% 10.93/2.07  cnf(i_0_1314, plain, (c_Relation_OField(c_Relation_Oconverse(X1,X2,X2),X2)=c_Relation_OField(X1,X2))).
% 10.93/2.07  cnf(i_0_1580, 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)).
% 10.93/2.07  cnf(i_0_1762, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=X2)).
% 10.93/2.07  cnf(i_0_1763, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2)=X2)).
% 10.93/2.07  cnf(i_0_1598, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1582, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1578, 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)))).
% 10.93/2.07  cnf(i_0_1583, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(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)))).
% 10.93/2.07  cnf(i_0_1951, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))))).
% 10.93/2.07  cnf(i_0_1588, plain, (hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 10.93/2.07  cnf(i_0_1889, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=hAPP(c_fequal(X1),X2))).
% 10.93/2.07  cnf(i_0_1888, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_fequal(X1),X2))))).
% 10.93/2.07  cnf(i_0_1584, plain, (hAPP(c_Relation_OImage(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 10.93/2.07  cnf(i_0_1622, plain, (c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_bool)),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1599, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,tc_fun(X2,tc_bool)),X3)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1037, plain, (hBOOL(c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1)))).
% 10.93/2.07  cnf(i_0_1335, plain, (hBOOL(c_Relation_Osym(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1)))).
% 10.93/2.07  cnf(i_0_1621, plain, (c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X3),tc_bool)))).
% 10.93/2.07  cnf(i_0_1891, plain, (hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)=X2)).
% 10.93/2.07  cnf(i_0_1218, plain, (c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2)=c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2))).
% 10.93/2.07  cnf(i_0_1180, plain, (hBOOL(c_Relation_Osingle__valued(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1,X1)))).
% 10.93/2.07  cnf(i_0_1617, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2))).
% 10.93/2.07  cnf(i_0_1600, plain, (hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1597, plain, (hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1382, plain, (hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2))=X2)).
% 10.93/2.07  cnf(i_0_1610, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1038, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2))).
% 10.93/2.07  cnf(i_0_1957, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6)))).
% 10.93/2.07  cnf(i_0_1143, plain, (hBOOL(c_Relation_Otrans(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)))).
% 10.93/2.07  cnf(i_0_1958, plain, (hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),X5))).
% 10.93/2.07  cnf(i_0_1934, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))).
% 10.93/2.07  cnf(i_0_1064, plain, (c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 10.93/2.07  cnf(i_0_1419, plain, (c_Transitive__Closure_Ortrancl(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 10.93/2.07  cnf(i_0_1191, plain, (hAPP(c_Relation_OImage(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1,X1),X2)=X2)).
% 10.93/2.07  cnf(i_0_1123, plain, (c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2)=c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2))).
% 10.93/2.07  cnf(i_0_1892, plain, (hAPP(hAPP(c_COMBC(X1,X1,tc_bool),c_fequal(X1)),X2)=hAPP(c_fequal(X1),X2))).
% 10.93/2.07  cnf(i_0_1987, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_fequal(X1),X2)),X3)=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))).
% 10.93/2.07  cnf(i_0_1988, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))).
% 10.93/2.07  cnf(i_0_1623, plain, (c_Relation_ODomain(c_Relation_Oconverse(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_bool)),X1,X2),X2,X1)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1776, plain, (c_Relation_Orel__comp(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool)),X4,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X3),tc_bool)))).
% 10.93/2.07  cnf(i_0_1777, plain, (c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_bool)),X3,X1,X2,X4)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X4),tc_bool)))).
% 10.93/2.07  cnf(i_0_1322, plain, (c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),X3,X2,X2)=X1)).
% 10.93/2.07  cnf(i_0_1323, plain, (c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X2,X1,X1,X3)=X2)).
% 10.93/2.07  cnf(i_0_1360, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X2))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1594, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,tc_fun(X1,tc_bool)),X4))=X2)).
% 10.93/2.07  cnf(i_0_1593, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,tc_fun(X1,tc_bool)),X3)),X4)=X4)).
% 10.93/2.07  cnf(i_0_1479, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X2,X4,X1),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))))))).
% 10.93/2.07  cnf(i_0_1361, plain, (c_Relation_ODomain(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2)=c_Relation_ODomain(X1,X2,X2))).
% 10.93/2.07  cnf(i_0_1365, plain, (hBOOL(c_Relation_Osym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),c_Relation_Oconverse(X2,X1,X1)),X1)))).
% 10.93/2.07  cnf(i_0_1844, plain, (hAPP(hAPP(c_in(tc_prod(t_a,t_b)),hAPP(hAPP(c_Pair(t_a,t_b),v_x),v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(t_a,t_b),tc_bool)))=hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_fun(t_b,tc_bool))),v_x),v_y))).
% 10.93/2.07  cnf(i_0_1099, plain, (c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1,X1),X1)=c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1))).
% 10.93/2.07  cnf(i_0_1751, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X2))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))).
% 10.93/2.07  cnf(i_0_1768, plain, (c_Product__Type_OSigma(X1,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool),X3),X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X2),tc_bool)))).
% 10.93/2.07  cnf(i_0_1936, plain, (hAPP(c_split(X1,X2,X3,X4),hAPP(hAPP(c_Pair(X2,X3),X5),X6))=hAPP(hAPP(X1,X5),X6))).
% 10.93/2.07  cnf(i_0_1452, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X2)),c_Transitive__Closure_Ortrancl(X3,X1))))).
% 10.93/2.07  cnf(i_0_1189, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3))).
% 10.93/2.07  cnf(i_0_1368, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))).
% 10.93/2.07  cnf(i_0_1242, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool),X2))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 10.93/2.07  cnf(i_0_1416, plain, (hBOOL(c_Relation_Osym(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(X1,X1),tc_bool)),X2),c_Relation_Oconverse(X2,X1,X1)),X1)))).
% 10.93/2.07  cnf(i_0_1327, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,tc_fun(X2,tc_bool)),c_COMBK(X3,tc_fun(X2,tc_bool),X1))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1165, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,tc_fun(X1,tc_bool)),X4))=X2)).
% 10.93/2.07  cnf(i_0_1944, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))).
% 10.93/2.07  cnf(i_0_1963, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))).
% 10.93/2.07  cnf(i_0_1972, plain, (hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or),X2)),X3)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))).
% 10.93/2.07  cnf(i_0_1490, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,tc_fun(X1,tc_bool)),X4))=hAPP(c_fequal(X1),X2))).
% 10.93/2.07  cnf(i_0_1131, plain, (c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X3),c_Relation_Oconverse(X4,X5,X2),X3,X2,X5)=c_Relation_Oconverse(c_Relation_Orel__comp(X4,X1,X5,X2,X3),X5,X3))).
% 10.93/2.07  cnf(i_0_1367, plain, (c_Predicate_Opred__comp(c_Predicate_Oconversep(X1,X2,X3),c_Predicate_Oconversep(X4,X5,X2),X3,X2,X5)=c_Predicate_Oconversep(c_Predicate_Opred__comp(X4,X1,X5,X2,X3),X5,X3))).
% 10.93/2.07  cnf(i_0_1233, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))).
% 10.93/2.07  cnf(i_0_1171, 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))).
% 10.93/2.07  cnf(i_0_1606, plain, (hAPP(c_Set_Ovimage(X1,X2,X3),X4)=hAPP(hAPP(c_COMBB(X3,tc_bool,X2),X4),X1))).
% 10.93/2.07  cnf(i_0_1098, plain, (hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)),X3))).
% 10.93/2.07  cnf(i_0_1784, plain, (hAPP(hAPP(c_COMBB(X1,tc_bool,X1),X2),c_COMBI(X1))=X2)).
% 10.93/2.07  cnf(i_0_1573, plain, (hAPP(hAPP(c_COMBB(X1,tc_bool,X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X3)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1765, plain, (hAPP(hAPP(c_COMBB(X1,tc_bool,X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X3)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1631, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Relation_OField(X2,X1)),c_Relation_OField(X3,X1))=c_Relation_OField(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),X3),X1))).
% 10.93/2.07  cnf(i_0_1797, plain, (c_Fun_Oinj__on(hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1816, plain, (hAPP(hAPP(c_Predicate_Oconversep(hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBB(tc_bool,tc_bool,t_a),c_Not)),c_fequal(t_a)),t_a,t_a),v_x),v_y)=hAPP(c_Not,hAPP(hAPP(c_fequal(t_a),v_x),v_y)))).
% 10.93/2.07  cnf(i_0_1292, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),c_Transitive__Closure_Ortrancl(X2,X1)),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1))=c_Transitive__Closure_Ortrancl(X2,X1))).
% 10.93/2.07  cnf(i_0_1162, plain, (c_Relation_ODomain(c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2),X2,X2)=c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2))).
% 10.93/2.07  cnf(i_0_1115, plain, (c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1)),X1)=c_Transitive__Closure_Ortrancl(X2,X1))).
% 10.93/2.07  cnf(i_0_1199, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3))=X2)).
% 10.93/2.07  cnf(i_0_1671, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),c_Set_Oinsert(X2)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))=X1)).
% 10.93/2.07  cnf(i_0_1801, plain, (hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2)),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))).
% 10.93/2.07  cnf(i_0_1663, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_COMBB(X3,tc_bool,X1),hAPP(c_fequal(X3),hAPP(X4,X2))),X4))))).
% 10.93/2.07  cnf(i_0_1808, plain, (hAPP(hAPP(c_and,c_List_Olistsp(X1,v_x,t_a)),c_List_Olistsp(X2,v_x,t_a))=c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),X1),X2),v_x,t_a))).
% 10.93/2.07  cnf(i_0_1482, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),hAPP(c_fequal(X1),X2)))=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))).
% 10.93/2.07  cnf(i_0_1847, plain, (c_Relation_ODomain(c_split(X1,X2,X3,tc_bool),X2,X3)=hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X2),c_Ex(X3)),X1))).
% 10.93/2.07  cnf(i_0_1030, plain, (c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2),X2,X2,X2)=c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2))).
% 10.93/2.07  cnf(i_0_1674, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Set_Oinsert(X2),X3)),X4))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1630, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Relation_ODomain(X2,X1,X3)),c_Relation_ODomain(X4,X1,X3))=c_Relation_ODomain(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X3),tc_bool)),X2),X4),X1,X3))).
% 10.93/2.07  cnf(i_0_1843, plain, (hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X2)),X3)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)),X3))).
% 10.93/2.07  cnf(i_0_1343, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X3))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)))).
% 10.93/2.07  cnf(i_0_1675, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3)),X4))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1245, plain, (c_Relation_ODomain(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),c_Relation_Oconverse(X2,X1,X1)),X1,X1)=c_Relation_OField(X2,X1))).
% 10.93/2.07  cnf(i_0_1281, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))).
% 10.93/2.07  cnf(i_0_1053, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))).
% 10.93/2.07  cnf(i_0_1682, plain, (c_Relation_ODomain(hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),X5),X1,X2)=hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Relation_ODomain(X5,X1,X2)))).
% 10.93/2.07  cnf(i_0_1357, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)),X3)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)))).
% 10.93/2.07  cnf(i_0_1783, plain, (c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),c_Transitive__Closure_Ortrancl(X2,X1)),c_Transitive__Closure_Ortrancl(X3,X1)),X1)=c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),X3),X1))).
% 10.93/2.07  cnf(i_0_1727, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))).
% 10.93/2.07  cnf(i_0_1618, plain, (c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBC(X1,t_a,tc_bool),hAPP(hAPP(c_COMBB(t_a,tc_fun(t_a,tc_bool),X1),c_fequal(t_a)),X2)),v_y),X1)=hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,t_a),v_y))).
% 10.93/2.07  cnf(i_0_1188, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_fun(X2,tc_bool))),c_Predicate_Oconversep(X3,X2,X1)),c_Predicate_Oconversep(X4,X2,X1))=c_Predicate_Oconversep(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_fun(X1,tc_bool))),X3),X4),X2,X1))).
% 10.93/2.07  cnf(i_0_1741, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))).
% 10.93/2.07  cnf(i_0_1740, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),X3))).
% 10.93/2.07  cnf(i_0_1798, plain, (hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_bool),hAPP(hAPP(c_COMBB(X2,tc_fun(tc_fun(X2,tc_bool),tc_bool),X1),c_in(X2)),X3)),X4)=hAPP(hAPP(c_COMBB(X2,tc_bool,X1),X4),X3))).
% 10.93/2.07  cnf(i_0_1779, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X2),tc_bool)),c_Relation_Oconverse(X3,X2,X1)),c_Relation_Oconverse(X4,X2,X1))=c_Relation_Oconverse(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X2,X1),tc_bool)),X3),X4),X2,X1))).
% 10.93/2.07  cnf(i_0_1920, plain, (hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),X1),X2))=hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),X1),X2),v_x))).
% 10.93/2.07  cnf(i_0_1484, 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)),hAPP(c_fequal(X1),X4))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)))).
% 10.93/2.07  cnf(i_0_1485, 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),hAPP(c_fequal(X1),X3))),X4)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))).
% 10.93/2.07  cnf(i_0_1310, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_fun(X2,tc_bool))),c_Predicate_Oconversep(X3,X2,X1)),c_Predicate_Oconversep(X4,X2,X1))=c_Predicate_Oconversep(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_fun(X1,tc_bool))),X3),X4),X2,X1))).
% 10.93/2.07  cnf(i_0_1747, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))).
% 10.93/2.07  cnf(i_0_1752, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),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),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),X3))).
% 10.93/2.07  cnf(i_0_1746, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),X3))).
% 10.93/2.07  cnf(i_0_1324, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(X1,X2),tc_bool)),c_Relation_Oconverse(X3,X2,X1)),c_Relation_Oconverse(X4,X2,X1))=c_Relation_Oconverse(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(X2,X1),tc_bool)),X3),X4),X2,X1))).
% 10.93/2.07  cnf(i_0_1045, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1)),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1))=c_Transitive__Closure_Ortrancl(X2,X1))).
% 10.93/2.07  cnf(i_0_1632, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X2),tc_bool)),c_Product__Type_OSigma(X3,X4,X1,X2)),c_Product__Type_OSigma(X5,X4,X1,X2))=c_Product__Type_OSigma(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X5),X4,X1,X2))).
% 10.93/2.07  cnf(i_0_1130, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(X1,X2),tc_bool)),c_Product__Type_OSigma(X3,X4,X1,X2)),c_Product__Type_OSigma(X5,X4,X1,X2))=c_Product__Type_OSigma(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X5),X4,X1,X2))).
% 10.93/2.07  cnf(i_0_1289, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),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))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))).
% 10.93/2.07  cnf(i_0_1738, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_Set_Oimage(X2,X3,X1),X4)),hAPP(c_Set_Oimage(X2,X3,X1),X5))=hAPP(c_Set_Oimage(X2,X3,X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X5)))).
% 10.93/2.07  cnf(i_0_1748, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_Relation_OImage(X2,X3,X1),X4)),hAPP(c_Relation_OImage(X2,X3,X1),X5))=hAPP(c_Relation_OImage(X2,X3,X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X5)))).
% 10.93/2.07  cnf(i_0_1108, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(X2,tc_bool,X1),X3),X4)),hAPP(hAPP(c_COMBB(X2,tc_bool,X1),X5),X4))=hAPP(hAPP(c_COMBB(X2,tc_bool,X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X5)),X4))).
% 10.93/2.07  cnf(i_0_1753, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(X2,tc_bool,X1),X3),X4)),hAPP(hAPP(c_COMBB(X2,tc_bool,X1),X5),X4))=hAPP(hAPP(c_COMBB(X2,tc_bool,X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X5)),X4))).
% 10.93/2.07  cnf(i_0_1670, plain, (hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),X1),X2))=hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),X1),X2),v_x))).
% 10.93/2.07  cnf(i_0_1612, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_Set_Oinsert(X3),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X3),X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X5)))).
% 10.93/2.07  cnf(i_0_1391, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(X2,tc_bool,X1),X3),X4)),hAPP(hAPP(c_COMBB(X2,tc_bool,X1),X5),X4))=hAPP(hAPP(c_COMBB(X2,tc_bool,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X5)),X4))).
% 10.93/2.07  cnf(i_0_1381, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1),X1,X1,X1))=c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1))).
% 10.93/2.07  cnf(i_0_1681, plain, (c_Relation_ODomain(c_Relation_Oconverse(hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),X5),X1,X2),X2,X1)=hAPP(hAPP(c_Set_Oinsert(X2),X4),c_Relation_ODomain(c_Relation_Oconverse(X5,X1,X2),X2,X1)))).
% 10.93/2.07  cnf(i_0_1633, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_Relation_OImage(X2,X3,X1),X4)),hAPP(c_Relation_OImage(X5,X3,X1),X4))=hAPP(c_Relation_OImage(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X3,X1),tc_bool)),X2),X5),X3,X1),X4))).
% 10.93/2.07  cnf(i_0_1946, plain, (c_split(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X2,X1)),tc_fun(X1,X3),X2),hAPP(c_COMBB(tc_prod(X2,X1),X3,X1),X4)),c_Pair(X2,X1)),X2,X1,X3)=X4)).
% 10.93/2.07  cnf(i_0_1063, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool))),X4))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X3),c_Not),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X4)))).
% 10.93/2.07  cnf(i_0_1144, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool))),X4))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X3),c_Not),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X4)))).
% 10.93/2.07  cnf(i_0_1069, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))).
% 10.93/2.07  cnf(i_0_1855, plain, (c_Relation_ODomain(c_Relation_Oconverse(c_split(X1,X2,X3,tc_bool),X2,X3),X3,X2)=hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X3),c_Ex(X2)),hAPP(c_COMBC(X2,X3,tc_bool),X1)))).
% 10.93/2.07  cnf(i_0_1782, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X2),tc_bool)),c_Relation_Orel__comp(X3,X4,X1,X5,X2)),c_Relation_Orel__comp(X3,X6,X1,X5,X2))=c_Relation_Orel__comp(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X5,X2),tc_bool)),X4),X6),X1,X5,X2))).
% 10.93/2.07  cnf(i_0_1076, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),X3)))).
% 10.93/2.07  cnf(i_0_1280, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),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)),X4))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X3)))).
% 10.93/2.07  cnf(i_0_1070, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3)))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))).
% 10.93/2.07  cnf(i_0_1614, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X5)))).
% 10.93/2.07  cnf(i_0_1739, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,tc_fun(X1,tc_bool)),X4)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X3,tc_fun(X1,tc_bool)),X4))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,tc_fun(X1,tc_bool)),X4))).
% 10.93/2.07  cnf(i_0_1781, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X2),tc_bool)),c_Relation_Orel__comp(X3,X4,X1,X5,X2)),c_Relation_Orel__comp(X6,X4,X1,X5,X2))=c_Relation_Orel__comp(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X5),tc_bool)),X3),X6),X4,X1,X5,X2))).
% 10.93/2.07  cnf(i_0_1854, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),c_Collect(X2)),hAPP(c_COMBC(X2,X1,tc_bool),X3)))=hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_All(X1)),X3))).
% 10.93/2.07  cnf(i_0_1831, plain, (c_Relation_OField(hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),X4),X1)=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Relation_OField(X4,X1))))).
% 10.93/2.07  cnf(i_0_1811, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool))),X3)),X4))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1833, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),X1),hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a))),X2)),v_x)=hAPP(hAPP(c_in(t_a),v_x),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(t_a,tc_bool)),X2)))).
% 10.93/2.07  cnf(i_0_1832, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),X1),hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a))),X2)),v_x)=hAPP(hAPP(c_in(t_a),v_x),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(t_a,tc_bool)),X2)))).
% 10.93/2.07  cnf(i_0_1236, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X3,tc_bool),X2),c_Set_Oimage(X5,X4,X3)),X6))=hAPP(c_Set_Oimage(X5,X4,X3),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X4,tc_bool)),X6)))).
% 10.93/2.07  cnf(i_0_1034, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X3,tc_bool),X2),c_Relation_OImage(X5,X4,X3)),X6))=hAPP(c_Relation_OImage(X5,X4,X3),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X4,tc_bool)),X6)))).
% 10.93/2.07  cnf(i_0_1290, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4)),X5))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X5)))).
% 10.93/2.07  cnf(i_0_1346, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X5)))).
% 10.93/2.07  cnf(i_0_1286, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X3,tc_fun(X1,tc_bool)),X4)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X3,tc_fun(X1,tc_bool)),X4))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,tc_fun(X1,tc_bool)),X4))).
% 10.93/2.07  cnf(i_0_1376, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X3,tc_bool),X2),c_Set_Ovimage(X5,X3,X4)),X6))=hAPP(hAPP(c_COMBB(X4,tc_bool,X3),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X4,tc_bool)),X6)),X5))).
% 10.93/2.07  cnf(i_0_1240, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X3,tc_bool),X2),c_Set_Ovimage(X5,X3,X4)),X6))=hAPP(hAPP(c_COMBB(X4,tc_bool,X3),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X4,tc_bool)),X6)),X5))).
% 10.93/2.07  cnf(i_0_1607, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Set_Oinsert(X3)),X4)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))))=hAPP(c_Set_Oimage(X4,X2,X3),X1))).
% 10.93/2.07  cnf(i_0_1685, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X4)),X5))).
% 10.93/2.07  cnf(i_0_1605, plain, (c_Hilbert__Choice_OEps(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),v_A),hAPP(hAPP(c_COMBC(t_a,t_b,tc_bool),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_fequal(t_b)),v_f)),v_x)),t_a)=hAPP(c_Hilbert__Choice_Oinv__into(v_A,v_f,t_a,t_b),v_x))).
% 10.93/2.07  cnf(i_0_1604, plain, (c_The(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),v_A),hAPP(hAPP(c_COMBC(t_a,t_b,tc_bool),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_fequal(t_b)),v_f)),v_x)),t_a)=hAPP(c_Fun_Othe__inv__into(v_A,v_f,t_a,t_b),v_x))).
% 10.93/2.07  cnf(i_0_1128, plain, (c_Relation_Orel__comp(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1)),c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1)=c_Transitive__Closure_Ortrancl(X2,X1))).
% 10.93/2.07  cnf(i_0_1793, plain, (c_Hilbert__Choice_OEps(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBC(X1,t_a,tc_bool),hAPP(hAPP(c_COMBB(t_a,tc_fun(t_a,tc_bool),X1),c_fequal(t_a)),X3)),v_x)),X1)=hAPP(c_Hilbert__Choice_Oinv__into(X2,X3,X1,t_a),v_x))).
% 10.93/2.07  cnf(i_0_1794, plain, (c_The(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBC(X1,t_a,tc_bool),hAPP(hAPP(c_COMBB(t_a,tc_fun(t_a,tc_bool),X1),c_fequal(t_a)),X3)),v_x)),X1)=hAPP(c_Fun_Othe__inv__into(X2,X3,X1,t_a),v_x))).
% 10.93/2.07  cnf(i_0_1773, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool))),X4)),X5))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X4)),X5))).
% 10.93/2.07  cnf(i_0_1772, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X4)),X5))).
% 10.93/2.07  cnf(i_0_1817, plain, (c_split(hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X3))),X4),X1,X2,tc_bool)=c_Product__Type_OSigma(X3,c_COMBK(X4,tc_fun(X2,tc_bool),X1),X1,X2))).
% 10.93/2.07  cnf(i_0_1861, plain, (c_The(c_Product__Type_OSigma(hAPP(c_fequal(X1),X2),c_COMBK(hAPP(c_fequal(X3),X4),tc_fun(X3,tc_bool),X1),X1,X3),tc_prod(X1,X3))=hAPP(hAPP(c_Pair(X1,X3),X2),X4))).
% 10.93/2.07  cnf(i_0_1860, plain, (c_Hilbert__Choice_OEps(c_Product__Type_OSigma(hAPP(c_fequal(X1),X2),c_COMBK(hAPP(c_fequal(X3),X4),tc_fun(X3,tc_bool),X1),X1,X3),tc_prod(X1,X3))=hAPP(hAPP(c_Pair(X1,X3),X2),X4))).
% 10.93/2.07  cnf(i_0_1629, plain, (hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X2),tc_bool)),c_Product__Type_OSigma(X5,c_COMBK(hAPP(hAPP(c_Set_Oinsert(X2),X4),X6),tc_fun(X2,tc_bool),X1),X1,X2)),c_Product__Type_OSigma(hAPP(hAPP(c_Set_Oinsert(X1),X3),X5),c_COMBK(X6,tc_fun(X2,tc_bool),X1),X1,X2)))=c_Product__Type_OSigma(hAPP(hAPP(c_Set_Oinsert(X1),X3),X5),c_COMBK(hAPP(hAPP(c_Set_Oinsert(X2),X4),X6),tc_fun(X2,tc_bool),X1),X1,X2))).
% 10.93/2.07  cnf(i_0_1818, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,t_a),c_Not),hAPP(hAPP(c_COMBB(tc_prod(t_a,t_a),tc_bool,t_a),v_r),hAPP(hAPP(c_COMBS(t_a,t_a,tc_prod(t_a,t_a)),c_Pair(t_a,t_a)),c_COMBI(t_a)))))=c_Relation_Oirrefl(v_r,t_a))).
% 10.93/2.07  cnf(i_0_1869, plain, (c_split(hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X3))),X4),X1,X2,tc_bool)=c_Product__Type_OSigma(X3,hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),c_Collect(X2)),X4),X1,X2))).
% 10.93/2.07  cnf(i_0_1876, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X3))),hAPP(c_COMBC(X1,X2,tc_bool),X4)))=hAPP(c_Relation_OImage(c_split(X4,X1,X2,tc_bool),X1,X2),X3))).
% 10.93/2.07  cnf(i_0_1749, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2)))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X2))))).
% 10.93/2.07  cnf(i_0_1809, plain, (hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_b),c_Ex(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_b),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),v_A))),hAPP(hAPP(c_COMBC(t_b,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_b),c_COMBB(t_b,tc_bool,t_a)),c_fequal(t_b))),v_f)))=hAPP(c_Set_Oimage(v_f,t_a,t_b),v_A))).
% 10.93/2.07  cnf(i_0_1873, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,tc_prod(X1,X1)),c_Ex(X1)),hAPP(hAPP(c_COMBC(tc_prod(X1,X1),tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X1,X1),tc_bool),tc_fun(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_bool)),tc_prod(X1,X1)),c_COMBB(tc_prod(X1,X1),tc_bool,X1)),c_fequal(tc_prod(X1,X1)))),hAPP(hAPP(c_COMBS(X1,X1,tc_prod(X1,X1)),c_Pair(X1,X1)),c_COMBI(X1))))=c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1))).
% 10.93/2.07  cnf(i_0_1824, plain, (c_Wellfounded_Oaccp(hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),X1),v_x,t_a)=hAPP(hAPP(c_in(t_a),v_x),c_Wellfounded_Oacc(X1,t_a)))).
% 10.93/2.07  cnf(i_0_1823, plain, (c_Predicate_ODomainP(hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,X1),tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(t_a,X1),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,X1),tc_bool),tc_fun(X1,tc_bool)),t_a),c_COMBC(X1,tc_fun(tc_prod(t_a,X1),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(t_a,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(t_a,X1),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,X1),tc_fun(tc_fun(tc_prod(t_a,X1),tc_bool),tc_bool),X1),c_in(tc_prod(t_a,X1)))),c_Pair(t_a,X1)))),X2),v_x,t_a,X1)=hAPP(hAPP(c_in(t_a),v_x),c_Relation_ODomain(X2,t_a,X1)))).
% 10.93/2.07  cnf(i_0_1825, plain, (c_Predicate_ORangeP(hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(X1,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X1,t_a),tc_bool),tc_fun(t_a,tc_bool)),X1),c_COMBC(t_a,tc_fun(tc_prod(X1,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(X1,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(X1,t_a),tc_bool),tc_bool)),X1),hAPP(c_COMBB(tc_prod(X1,t_a),tc_fun(tc_fun(tc_prod(X1,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(X1,t_a)))),c_Pair(X1,t_a)))),X2),v_x,X1,t_a)=hAPP(hAPP(c_in(t_a),v_x),c_Relation_ODomain(c_Relation_Oconverse(X2,X1,t_a),t_a,X1)))).
% 10.93/2.07  cnf(i_0_1845, plain, (hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_bool,t_a),c_Ex(t_b)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b)))),v_r))=c_Relation_ODomain(v_r,t_a,t_b))).
% 10.93/2.07  cnf(i_0_1882, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Ex(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1))))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X1))))),c_split(hAPP(hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),X2)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X1))))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X1)))),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_bool))=c_Arrow__Order__Mirabelle_Omkbot(X2,X1))).
% 10.93/2.07  cnf(i_0_1430, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool),X2),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X4,tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBC(X2,tc_fun(X4,tc_fun(X3,tc_bool)),tc_fun(X4,tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),tc_fun(tc_fun(X4,tc_fun(X3,tc_bool)),tc_fun(X4,tc_fun(X3,tc_bool))),X2),c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X4)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool))),X6))),X7)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X6)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X4,tc_fun(X3,tc_bool)),X7)))).
% 10.93/2.07  cnf(i_0_1828, plain, (hAPP(hAPP(c_Predicate_Oconversep(hAPP(hAPP(c_COMBC(t_b,tc_fun(tc_prod(t_b,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_b,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_b,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_b),c_COMBC(t_a,tc_fun(tc_prod(t_b,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_b,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_b,t_a),tc_bool),tc_bool)),t_b),hAPP(c_COMBB(tc_prod(t_b,t_a),tc_fun(tc_fun(tc_prod(t_b,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_b,t_a)))),c_Pair(t_b,t_a)))),X1),t_b,t_a),v_x),v_y)=hAPP(hAPP(c_in(tc_prod(t_a,t_b)),hAPP(hAPP(c_Pair(t_a,t_b),v_x),v_y)),c_Relation_Oconverse(X1,t_b,t_a)))).
% 10.93/2.07  cnf(i_0_1875, plain, (c_split(hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X2,X1),tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X2,X1),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X2,X1),tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBC(X2,tc_fun(tc_prod(X2,X1),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X2,X1)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X2,X1),tc_bool),tc_bool)),X1),hAPP(c_COMBB(tc_prod(X2,X1),tc_fun(tc_fun(tc_prod(X2,X1),tc_bool),tc_bool),X2),c_in(tc_prod(X2,X1)))),hAPP(c_COMBC(X2,X1,tc_prod(X2,X1)),c_Pair(X2,X1))))),X3),X1,X2,tc_bool)=c_Relation_Oconverse(X3,X2,X1))).
% 10.93/2.07  cnf(i_0_1503, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X4,tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBC(X2,tc_fun(X4,tc_fun(X3,tc_bool)),tc_fun(X4,tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),tc_fun(tc_fun(X4,tc_fun(X3,tc_bool)),tc_fun(X4,tc_fun(X3,tc_bool))),X2),c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X4)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool))),X6))),X7)))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X6)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X4,tc_fun(X3,tc_bool)),X7)))).
% 10.93/2.07  cnf(i_0_1822, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,tc_fun(X1,X2)),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),tc_fun(X1,X2)),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X3)))),hAPP(hAPP(c_COMBC(tc_fun(X1,X2),X2,tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_fun(X1,tc_bool)),tc_fun(X1,X2)),c_COMBC(X1,X2,tc_bool)),hAPP(c_COMBB(X2,tc_fun(X2,tc_bool),X1),c_fequal(X2)))),c_HOL_Oundefined(X2))))=c_FuncSet_Oextensional(X3,X1,X2))).
% 10.93/2.07  cnf(i_0_1883, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Ex(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X1))))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X1))))),c_split(hAPP(hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),X2)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X1))))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X1)))),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_bool))=c_Arrow__Order__Mirabelle_Omktop(X2,X1))).
% 10.93/2.07  cnf(i_0_1846, plain, (hAPP(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_fun(t_a,tc_bool))),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),X1)),c_fequal(t_a)),v_x),v_y)=hAPP(hAPP(c_in(tc_prod(t_a,t_a)),hAPP(hAPP(c_Pair(t_a,t_a),v_x),v_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(t_a,t_a),tc_bool)),X1),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(t_a,t_a),tc_bool)),t_a))))).
% 10.93/2.07  cnf(i_0_1852, plain, (hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(t_a,tc_fun(t_b,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_a,tc_fun(t_b,tc_bool)),X1),hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b))))),X2)),v_x),v_y)=hAPP(hAPP(c_in(tc_prod(t_a,t_b)),hAPP(hAPP(c_Pair(t_a,t_b),v_x),v_y)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(tc_prod(t_a,t_b),tc_bool)),X2)))).
% 10.93/2.07  cnf(i_0_1851, plain, (hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(t_a,tc_fun(t_b,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_a,tc_fun(t_b,tc_bool)),X1),hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b))))),X2)),v_x),v_y)=hAPP(hAPP(c_in(tc_prod(t_a,t_b)),hAPP(hAPP(c_Pair(t_a,t_b),v_x),v_y)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(tc_prod(t_a,t_b),tc_bool)),X2)))).
% 10.93/2.07  cnf(i_0_1850, plain, (hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_b),c_Ex(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_b),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),v_s))),hAPP(hAPP(c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_a,tc_bool)),t_b),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_b)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_b),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_b)))),hAPP(c_COMBC(t_a,t_b,tc_prod(t_a,t_b)),c_Pair(t_a,t_b))))),v_r)))=hAPP(c_Relation_OImage(v_r,t_a,t_b),v_s))).
% 10.93/2.07  cnf(i_0_1826, plain, (hAPP(hAPP(c_Predicate_Opred__comp(hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,X1),tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(t_a,X1),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,X1),tc_bool),tc_fun(X1,tc_bool)),t_a),c_COMBC(X1,tc_fun(tc_prod(t_a,X1),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(t_a,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(t_a,X1),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,X1),tc_fun(tc_fun(tc_prod(t_a,X1),tc_bool),tc_bool),X1),c_in(tc_prod(t_a,X1)))),c_Pair(t_a,X1)))),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(X1,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X1,t_b),tc_bool),tc_fun(t_b,tc_bool)),X1),c_COMBC(t_b,tc_fun(tc_prod(X1,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(X1,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(X1,t_b),tc_bool),tc_bool)),X1),hAPP(c_COMBB(tc_prod(X1,t_b),tc_fun(tc_fun(tc_prod(X1,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(X1,t_b)))),c_Pair(X1,t_b)))),X3),t_a,X1,t_b),v_x),v_y)=hAPP(hAPP(c_in(tc_prod(t_a,t_b)),hAPP(hAPP(c_Pair(t_a,t_b),v_x),v_y)),c_Relation_Orel__comp(X2,X3,t_a,X1,t_b)))).
% 10.93/2.07  cnf(i_0_1874, plain, (hAPP(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_fun(t_b,tc_bool))),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b)))),X1)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b)))),X2)),v_x),v_y)=hAPP(hAPP(c_in(tc_prod(t_a,t_b)),hAPP(hAPP(c_Pair(t_a,t_b),v_x),v_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(t_a,t_b),tc_bool)),X1),X2)))).
% 10.93/2.07  cnf(i_0_1827, plain, (hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_fun(t_b,tc_bool))),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b)))),X1)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b)))),X2)),v_x),v_y)=hAPP(hAPP(c_in(tc_prod(t_a,t_b)),hAPP(hAPP(c_Pair(t_a,t_b),v_x),v_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(t_a,t_b),tc_bool)),X1),X2)))).
% 10.93/2.07  cnf(i_0_1878, plain, (hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a),v_b)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Ex(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a))))),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),v_L),hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b))),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),v_a))))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Ex(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_a))))),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),v_L),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_b))),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),v_a))))),c_split(hAPP(hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),v_L)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),v_a))))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),v_a)))),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_bool))))=c_Arrow__Order__Mirabelle_Obelow(v_L,v_a,v_b))).
% 10.93/2.07  cnf(i_0_1879, plain, (hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a),v_b)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Ex(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b))))),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),v_L),hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a))),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),v_b))))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Ex(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_b))))),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),v_L),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_a))),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),v_b))))),c_split(hAPP(hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),v_L)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),v_b))))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),v_b)))),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_bool))))=c_Arrow__Order__Mirabelle_Oabove(v_L,v_a,v_b))).
% 10.93/2.07  cnf(i_0_1884, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_split(hAPP(hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),X1)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X2))))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X2)))),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Ex(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2))))),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),X1),hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3))),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X2))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Ex(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X2))))),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),X1),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X2)))))))=c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3))).
% 10.93/2.07  cnf(i_0_1885, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_split(hAPP(hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),X1)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X2))))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X2)))),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Ex(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2))))),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),X1),hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3))),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X2))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Ex(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_and)),hAPP(hAPP(c_COMBC(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt)),c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X2))))),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),X1),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))),hAPP(c_fequal(tc_Arrow__Order__Mirabelle_Oalt),X2)))))))=c_Arrow__Order__Mirabelle_Oabove(X1,X3,X2))).
% 10.93/2.07  cnf(i_0_1866, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),v_r)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),hAPP(c_COMBC(t_a,t_a,tc_prod(t_a,t_a)),c_Pair(t_a,t_a))))),v_r))))=c_Relation_Osym(v_r,t_a))).
% 10.93/2.07  cnf(i_0_1865, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),v_r)))),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),hAPP(c_COMBC(t_a,t_a,tc_prod(t_a,t_a)),c_Pair(t_a,t_a))))),v_r)))),c_fequal(t_a)))))=c_Relation_Oantisym(v_r,t_a))).
% 10.93/2.07  cnf(i_0_1856, plain, (c_split(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool),X3),hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2))),hAPP(hAPP(c_COMBC(X3,tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_bool))),X3),c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X3),c_COMBS(X2,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_fun(tc_bool,tc_bool)),X3),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and)),hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X2),tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X3,X2),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X3,X2),tc_bool),tc_fun(X2,tc_bool)),X3),c_COMBC(X2,tc_fun(tc_prod(X3,X2),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X3,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X3,X2),tc_bool),tc_bool)),X3),hAPP(c_COMBB(tc_prod(X3,X2),tc_fun(tc_fun(tc_prod(X3,X2),tc_bool),tc_bool),X2),c_in(tc_prod(X3,X2)))),c_Pair(X3,X2)))),X4))))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X2,X1),tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X2,X1),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X2,X1),tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBC(X2,tc_fun(tc_prod(X2,X1),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X2,X1)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X2,X1),tc_bool),tc_bool)),X1),hAPP(c_COMBB(tc_prod(X2,X1),tc_fun(tc_fun(tc_prod(X2,X1),tc_bool),tc_bool),X2),c_in(tc_prod(X2,X1)))),hAPP(c_COMBC(X2,X1,tc_prod(X2,X1)),c_Pair(X2,X1))))),X5))),X3,X1,tc_bool)=c_Relation_Orel__comp(X4,X5,X3,X2,X1))).
% 10.93/2.07  cnf(i_0_1993, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_L),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_All(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not)),hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),hAPP(hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),hAPP(hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_COMBI(tc_Arrow__Order__Mirabelle_Oalt))))))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_All(tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_implies),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_All(tc_Arrow__Order__Mirabelle_Oalt))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_implies),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_implies)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_Not)),c_fequal(tc_Arrow__Order__Mirabelle_Oalt)))))),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)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alt),c_All(tc_Arrow__Order__Mirabelle_Oalt))),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_implies))),hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_All(tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_implies))),hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))))))),hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))))))))))))).
% 10.93/2.07  cnf(i_0_1820, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_bool,t_a),c_All(t_b)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBS(t_b,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_b),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b)))),v_r)))),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(t_b,tc_bool)),tc_fun(t_b,tc_bool),t_a),hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_bool,t_b),c_All(t_b))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_b,tc_fun(t_b,tc_bool)),tc_fun(t_b,tc_fun(t_b,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool)),tc_fun(tc_fun(t_b,tc_fun(t_b,tc_bool)),tc_fun(t_b,tc_fun(t_b,tc_bool))),t_a),c_COMBB(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool),t_b)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBS(t_b,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_b),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b)))),v_r))))),c_fequal(t_b))))))=c_Relation_Osingle__valued(v_r,t_a,t_b))).
% 10.93/2.07  cnf(i_0_1857, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,t_a),c_Not),v_A)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v_A,t_a,tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),c_Collect(t_a)),hAPP(c_COMBC(t_a,t_a,tc_bool),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBB(tc_bool,tc_bool,t_a),c_Not)),c_fequal(t_a))))),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_or)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),v_r)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),hAPP(c_COMBC(t_a,t_a,tc_prod(t_a,t_a)),c_Pair(t_a,t_a))))),v_r))))))))=c_Relation_Ototal__on(v_A,v_r,t_a))).
% 10.93/2.07  cnf(i_0_1868, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),v_r)))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(t_a,tc_bool)),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(t_a,tc_bool)),t_a),hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),v_r))))),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),v_r))))))=c_Relation_Otrans(v_r,t_a))).
% 10.93/2.07  cnf(i_0_1795, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,tc_fun(X1,tc_bool)),c_All(X1)),hAPP(hAPP(c_COMBS(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(X1,tc_bool)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies)),hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1))))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_All(X1))),hAPP(hAPP(c_COMBC(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),tc_fun(X1,tc_bool)),c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(X1,tc_bool)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies)),hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)))))),hAPP(hAPP(c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_bool),tc_bool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_bool),tc_bool),X1),c_in(tc_prod(X1,X1)))),c_Pair(X1,X1)))),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_bool),tc_bool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_bool),tc_bool),X1),c_in(tc_prod(X1,X1)))),hAPP(c_COMBC(X1,X1,tc_prod(X1,X1)),c_Pair(X1,X1))))),X2))))))=c_Zorn_OChain(X2,X1))).
% 10.93/2.07  cnf(i_0_1983, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X2))).
% 10.93/2.07  cnf(i_0_1298, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X2))).
% 10.93/2.07  cnf(i_0_1960, plain, (hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),hAPP(X5,X6)))).
% 10.93/2.07  cnf(i_0_1954, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1943, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)))).
% 10.93/2.07  cnf(i_0_1961, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_fequal(X1),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(c_fequal(X1),X2)))).
% 10.93/2.07  cnf(i_0_1962, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)))).
% 10.93/2.07  cnf(i_0_1313, plain, (hAPP(hAPP(c_COMBB(X1,tc_bool,X2),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X3)),X4)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X2),c_Not),hAPP(hAPP(c_COMBB(X1,tc_bool,X2),X3),X4)))).
% 10.93/2.07  cnf(i_0_1093, plain, (c_Relation_Orel__comp(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X3,X5,X7)=c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X2,X6,X4,X5,X7),X3,X4,X7))).
% 10.93/2.07  cnf(i_0_1722, plain, (hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X2),X4),X5))=hAPP(hAPP(c_Set_Oinsert(X3),hAPP(X1,X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5)))).
% 10.93/2.07  cnf(i_0_1544, plain, (hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_Set_Oimage(X4,X5,X2),X6))=hAPP(c_Set_Oimage(hAPP(hAPP(c_COMBB(X2,X3,X5),X1),X4),X5,X3),X6))).
% 10.93/2.07  cnf(i_0_1054, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)))).
% 10.93/2.07  cnf(i_0_1072, plain, (hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_COMBB(X3,tc_bool,X2),X4),X1))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))))).
% 10.93/2.07  cnf(i_0_1418, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X1,tc_fun(X4,tc_bool)),X5)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),hAPP(X5,X2)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,X1,tc_fun(X4,tc_bool)),X5)))).
% 10.93/2.07  cnf(i_0_1601, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X1,tc_fun(X4,tc_bool)),X5)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(X5,X2)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,tc_fun(X4,tc_bool)),X5)))).
% 10.93/2.07  cnf(i_0_1036, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(X1,X2,X3),X4),X3,tc_fun(X5,tc_bool)),X6)=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X2,tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(X3,tc_fun(X5,tc_bool),X2),X6),X1)))).
% 10.93/2.07  cnf(i_0_1277, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(X1,X2,X3),X4),X3,tc_fun(X5,tc_bool)),X6)=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(X3,tc_fun(X5,tc_bool),X2),X6),X1)))).
% 10.93/2.07  cnf(i_0_1859, plain, (hAPP(hAPP(c_COMBB(tc_prod(X1,X2),tc_bool,X2),X3),hAPP(c_Pair(X1,X2),X4))=hAPP(c_Relation_OImage(X3,X1,X2),hAPP(c_fequal(X1),X4)))).
% 10.93/2.07  cnf(i_0_1819, plain, (c_Product__Type_OSigma(X1,hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool))),X4)),X5),X2,X3)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X2,X3),tc_bool)),c_Product__Type_OSigma(X1,X4,X2,X3)),c_Product__Type_OSigma(X1,X5,X2,X3)))).
% 10.93/2.07  cnf(i_0_1094, plain, (c_Product__Type_OSigma(X1,hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool))),X4)),X5),X2,X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(X2,X3),tc_bool)),c_Product__Type_OSigma(X1,X4,X2,X3)),c_Product__Type_OSigma(X1,X5,X2,X3)))).
% 10.93/2.07  cnf(i_0_1778, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X4)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X5)))).
% 10.93/2.07  cnf(i_0_1687, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X4)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X5)))).
% 10.93/2.07  cnf(i_0_1872, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X3))),X4))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),c_Collect(X2)),hAPP(c_COMBC(X2,X1,tc_bool),X4))))).
% 10.93/2.07  cnf(i_0_1862, plain, (c_Relation_Orel__comp(hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),X4),c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),X4),X1),X1,X1,X1)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)),c_Product__Type_OSigma(hAPP(hAPP(c_COMBB(tc_prod(X1,X1),tc_bool,X1),c_Transitive__Closure_Ortrancl(X4,X1)),hAPP(hAPP(c_COMBC(X1,X1,tc_prod(X1,X1)),c_Pair(X1,X1)),X2)),c_COMBK(hAPP(hAPP(c_COMBB(tc_prod(X1,X1),tc_bool,X1),c_Transitive__Closure_Ortrancl(X4,X1)),hAPP(c_Pair(X1,X1),X3)),tc_fun(X1,tc_bool),X1),X1,X1)))).
% 10.93/2.07  cnf(i_0_1992, negated_conjecture, (v_y!=v_x)).
% 10.93/2.07  cnf(i_0_1918, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1919, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 10.93/2.07  cnf(i_0_1907, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1903, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 10.93/2.07  cnf(i_0_1068, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_bool))),X3),X4)))).
% 10.93/2.07  cnf(i_0_1639, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X2))))).
% 10.93/2.07  cnf(i_0_1643, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X1))))).
% 10.93/2.07  cnf(i_0_1994, negated_conjecture, 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alt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_implies))),hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_bool,tc_Arrow__Order__Mirabelle_Oalt),c_All(tc_Arrow__Order__Mirabelle_Oalt)))),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBS(tc_Arrow__Order__Mirabelle_Oalt,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_bool,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_implies))),hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))))))),hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_COMBC(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_COMBB(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oalt),c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))))))))))))).
% 10.93/2.07  cnf(i_0_1366, plain, (c_Finite__Set_Ofinite(X1,X2)|~class_Finite__Set_Ofinite_Ofinite(X2))).
% 10.93/2.07  cnf(i_0_2005, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 10.93/2.07  cnf(i_0_1080, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2))|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1079, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2))|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1081, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 10.93/2.07  cnf(i_0_2004, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 10.93/2.07  cnf(i_0_1945, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 10.93/2.07  cnf(i_0_1915, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x)=c_Orderings_Otop__class_Otop(X1)|~class_Orderings_Otop(X1))).
% 10.93/2.07  cnf(i_0_1998, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 10.93/2.07  cnf(i_0_1996, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 10.93/2.07  cnf(i_0_2003, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 10.93/2.07  cnf(i_0_2001, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))).
% 10.93/2.07  cnf(i_0_1999, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 10.93/2.07  cnf(i_0_2008, plain, (class_HOL_Ouminus(tc_fun(X1,X2))|~class_HOL_Ouminus(X2))).
% 10.93/2.07  cnf(i_0_2030, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))).
% 10.93/2.07  cnf(i_0_1997, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 10.93/2.07  cnf(i_0_2009, plain, (class_HOL_Ominus(tc_fun(X1,X2))|~class_HOL_Ominus(X2))).
% 10.93/2.07  cnf(i_0_2000, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 10.93/2.07  cnf(i_0_2007, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 10.93/2.07  cnf(i_0_2006, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))).
% 10.93/2.07  cnf(i_0_1136, plain, (~c_Orderings_Oorder(X1,X2,X3)|~hBOOL(hAPP(hAPP(X2,X4),X4)))).
% 10.93/2.07  cnf(i_0_1956, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 10.93/2.07  cnf(i_0_1596, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_2002, plain, (class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 10.93/2.07  cnf(i_0_1995, plain, (class_Finite__Set_Ofinite_Ofinite(tc_prod(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 10.93/2.07  cnf(i_0_1726, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X2),X3),X1),X2))).
% 10.93/2.07  cnf(i_0_1595, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Otop__class_Otop(X1))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1066, plain, (hBOOL(c_Relation_Oantisym(X1,X2))|~hBOOL(c_Relation_Oantisym(c_Relation_Oconverse(X1,X2,X2),X2)))).
% 10.93/2.07  cnf(i_0_1101, plain, (hBOOL(c_Relation_Otrans(X1,X2))|~hBOOL(c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2)))).
% 10.93/2.07  cnf(i_0_1364, plain, (hBOOL(c_Relation_Osym(X1,X2))|~hBOOL(c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2)))).
% 10.93/2.07  cnf(i_0_1166, plain, (hBOOL(c_Relation_Osym(X1,X2))|c_Relation_Oconverse(X1,X2,X2)!=X1)).
% 10.93/2.07  cnf(i_0_1978, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1979, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1167, plain, (c_Relation_Oconverse(X1,X2,X2)=X1|~hBOOL(c_Relation_Osym(X1,X2)))).
% 10.93/2.07  cnf(i_0_1083, plain, (X1=X2|hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)|~class_Lattices_Oboolean__algebra(X3))).
% 10.93/2.07  cnf(i_0_1084, plain, (X1=X2|hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)|~class_OrderedGroup_Ogroup__add(X3))).
% 10.93/2.07  cnf(i_0_1175, plain, (~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1955, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 10.93/2.07  cnf(i_0_1950, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2)=X2|~class_Lattices_Oupper__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1179, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 10.93/2.07  cnf(i_0_1392, plain, (hBOOL(c_Relation_Ototal__on(X1,X2,X3))|~hBOOL(c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)))).
% 10.93/2.07  cnf(i_0_1243, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2)=X2|~class_Lattices_Olower__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1259, plain, (hAPP(X1,X2)=X3|~c_Lattices_Oboolean__algebra(X4,X1,X5,X6,X7,X8,X3,X2,X9))).
% 10.93/2.07  cnf(i_0_1260, plain, (hAPP(X1,X2)=X3|~c_Lattices_Oboolean__algebra(X4,X1,X5,X6,X7,X8,X2,X3,X9))).
% 10.93/2.07  cnf(i_0_1981, plain, (X1=c_Orderings_Obot__class_Obot(X2)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 10.93/2.07  cnf(i_0_1980, plain, (X1=c_Orderings_Obot__class_Obot(X2)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 10.93/2.07  cnf(i_0_1986, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1385, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 10.93/2.07  cnf(i_0_1742, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X2))).
% 10.93/2.07  cnf(i_0_1743, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2))).
% 10.93/2.07  cnf(i_0_1405, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Fun_Oinj__on(X3,X1,X2,X4)|~c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(X3,X2,X4),X1),X4))).
% 10.93/2.07  cnf(i_0_1301, plain, (hBOOL(c_Relation_Osym(c_Transitive__Closure_Ortrancl(X1,X2),X2))|~hBOOL(c_Relation_Osym(X1,X2)))).
% 10.93/2.07  cnf(i_0_1373, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)))).
% 10.93/2.07  cnf(i_0_1374, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)))).
% 10.93/2.07  cnf(i_0_1760, plain, (X1=c_Orderings_Otop__class_Otop(X2)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 10.93/2.07  cnf(i_0_1759, plain, (X1=c_Orderings_Otop__class_Otop(X2)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 10.93/2.07  cnf(i_0_1126, plain, (hBOOL(c_Orderings_Oorder__class_Omono(X1,X2,X3))|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X1,X2,X3))|~class_Orderings_Oorder(X3)|~class_Orderings_Oorder(X2))).
% 10.93/2.07  cnf(i_0_1924, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1))=X2|~class_Lattices_Obounded__lattice(X1))).
% 10.93/2.07  cnf(i_0_1384, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=X2|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1923, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2)=X2|~class_Lattices_Obounded__lattice(X1))).
% 10.93/2.07  cnf(i_0_1728, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Set_Oinsert(X3),X5),X2),X3,X4))).
% 10.93/2.07  cnf(i_0_1075, plain, (hBOOL(hAPP(hAPP(X1,X2),X2))|~c_Orderings_Oorder(X1,X3,X4))).
% 10.93/2.07  cnf(i_0_1308, plain, (hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X1,X2)))|~hBOOL(hAPP(X1,X3)))).
% 10.93/2.07  cnf(i_0_1269, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1941, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 10.93/2.07  cnf(i_0_1940, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 10.93/2.07  cnf(i_0_1270, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Opreorder(X1))).
% 10.93/2.07  cnf(i_0_1097, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X1),X3),X2)|~c_Finite__Set_Ofinite(X3,X2))).
% 10.93/2.07  cnf(i_0_1585, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(c_Set_Oimage(X3,X2,X4),X1)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))).
% 10.93/2.07  cnf(i_0_1067, plain, (hBOOL(c_Relation_Oantisym(c_Relation_Oconverse(X1,X2,X2),X2))|~hBOOL(c_Relation_Oantisym(X1,X2)))).
% 10.93/2.07  cnf(i_0_1620, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool))|c_Relation_ODomain(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1758, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1))=X2|~class_Lattices_Obounded__lattice(X1))).
% 10.93/2.07  cnf(i_0_1100, plain, (hBOOL(c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2))|~hBOOL(c_Relation_Otrans(X1,X2)))).
% 10.93/2.07  cnf(i_0_1363, plain, (hBOOL(c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2))|~hBOOL(c_Relation_Osym(X1,X2)))).
% 10.93/2.07  cnf(i_0_1424, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1757, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2)=X2|~class_Lattices_Obounded__lattice(X1))).
% 10.93/2.07  cnf(i_0_1976, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))).
% 10.93/2.07  cnf(i_0_1569, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 10.93/2.07  cnf(i_0_1756, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Orderings_Otop__class_Otop(X1)))|~class_Orderings_Otop(X1))).
% 10.93/2.07  cnf(i_0_1423, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1427, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 10.93/2.07  cnf(i_0_1020, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X3,X4,X5))|~class_Orderings_Oorder(X5)|~class_Orderings_Olinorder(X4))).
% 10.93/2.07  cnf(i_0_1570, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X2))|~class_Orderings_Obot(X1))).
% 10.93/2.07  cnf(i_0_1927, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))).
% 10.93/2.07  cnf(i_0_1926, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 10.93/2.07  cnf(i_0_1568, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 10.93/2.07  cnf(i_0_1157, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2)))).
% 10.93/2.07  cnf(i_0_1204, plain, (c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(X1,X2,X3),X4),X3)|~c_Finite__Set_Ofinite(X4,X2))).
% 10.93/2.07  cnf(i_0_1947, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),hAPP(c_fequal(X3),X2))))).
% 10.93/2.07  cnf(i_0_1933, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X4),X2),X3),X1)))).
% 10.93/2.07  cnf(i_0_1602, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1887, plain, (X1=X2|hAPP(hAPP(c_Pair(X3,X4),X5),X1)!=hAPP(hAPP(c_Pair(X3,X4),X6),X2))).
% 10.93/2.07  cnf(i_0_1886, plain, (X1=X2|hAPP(hAPP(c_Pair(X3,X4),X1),X5)!=hAPP(hAPP(c_Pair(X3,X4),X2),X6))).
% 10.93/2.07  cnf(i_0_1764, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 10.93/2.07  cnf(i_0_1141, plain, (hBOOL(c_Predicate_ODomainP(X1,X2,X3,X4))|~hBOOL(hAPP(hAPP(X1,X2),X5)))).
% 10.93/2.07  cnf(i_0_1515, plain, (~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),X4)))).
% 10.93/2.07  cnf(i_0_1969, plain, (X1=X2|hAPP(c_fequal(X3),X1)!=hAPP(c_fequal(X3),X2))).
% 10.93/2.07  cnf(i_0_1928, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1),X2)))).
% 10.93/2.07  cnf(i_0_1119, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1414, plain, (hBOOL(c_Predicate_ORangeP(X1,X2,X3,X4))|~hBOOL(hAPP(hAPP(X1,X5),X2)))).
% 10.93/2.07  cnf(i_0_1187, plain, (X1=X2|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X4),X4)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X1),X2)|~class_OrderedGroup_Oab__group__add(X3))).
% 10.93/2.07  cnf(i_0_1319, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X3))).
% 10.93/2.07  cnf(i_0_1320, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_OrderedGroup_Ocancel__semigroup__add(X3))).
% 10.93/2.07  cnf(i_0_1985, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1321, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)|~class_OrderedGroup_Ocancel__semigroup__add(X3))).
% 10.93/2.07  cnf(i_0_1145, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Lattices_Oboolean__algebra(X4,X3,X5,X6,X7,X8,X9,X10,X11))).
% 10.93/2.07  cnf(i_0_1725, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1516, 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))))).
% 10.93/2.07  cnf(i_0_1984, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)|~class_Lattices_Oupper__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1754, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X5),X2),X3,X4))).
% 10.93/2.07  cnf(i_0_1755, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4))).
% 10.93/2.07  cnf(i_0_1393, plain, (hBOOL(c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3))|~hBOOL(c_Relation_Ototal__on(X1,X2,X3)))).
% 10.93/2.07  cnf(i_0_1519, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3))))).
% 10.93/2.07  cnf(i_0_1520, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))))).
% 10.93/2.07  cnf(i_0_1475, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1))))).
% 10.93/2.07  cnf(i_0_1027, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 10.93/2.07  cnf(i_0_1702, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)=X3|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1704, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)=X2|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)))).
% 10.93/2.07  cnf(i_0_1297, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=X3|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)))).
% 10.93/2.07  cnf(i_0_1295, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=X2|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1489, plain, (c_Finite__Set_Olinorder__class_OMin(hAPP(c_fequal(X1),X2),X1)=X2|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1085, plain, (X1=X2|hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X3),c_Not),X1)!=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X3),c_Not),X2))).
% 10.93/2.07  cnf(i_0_1283, plain, (X1=X2|~c_Orderings_Oorder(X3,X4,X5)|~hBOOL(hAPP(hAPP(X3,X2),X1))|~hBOOL(hAPP(hAPP(X3,X1),X2)))).
% 10.93/2.07  cnf(i_0_1200, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1483, plain, (c_Finite__Set_Olinorder__class_OMax(hAPP(c_fequal(X1),X2),X1)=X2|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1518, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X3)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1201, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1603, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1576, 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))).
% 10.93/2.07  cnf(i_0_1575, 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))).
% 10.93/2.07  cnf(i_0_1767, plain, (hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X3,X2))).
% 10.93/2.07  cnf(i_0_1766, plain, (hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X3,X9,X2))).
% 10.93/2.07  cnf(i_0_1112, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 10.93/2.07  cnf(i_0_1893, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1460, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X2)),X3))|~hBOOL(c_Relation_Oirrefl(X3,X1)))).
% 10.93/2.07  cnf(i_0_1133, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)=X2|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 10.93/2.07  cnf(i_0_1028, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 10.93/2.07  cnf(i_0_1492, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1318, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 10.93/2.07  cnf(i_0_1378, plain, (c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2)=X1|~hBOOL(c_Relation_Otrans(X1,X2)))).
% 10.93/2.07  cnf(i_0_1088, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_lessequals(X3),X2),X1))|~hBOOL(hAPP(hAPP(c_lessequals(X3),X1),X2))|~class_Orderings_Oorder(X3))).
% 10.93/2.07  cnf(i_0_1493, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 10.93/2.07  cnf(i_0_1916, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X1),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X1),hAPP(hAPP(c_Set_Oinsert(X3),X2),X4))))).
% 10.93/2.07  cnf(i_0_1371, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_fun(X5,tc_bool))),X6),X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1372, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_fun(X5,tc_bool))),X1),X6),X2),X3)))).
% 10.93/2.07  cnf(i_0_1300, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1624, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool))|c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X3),X3,X2)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 10.93/2.07  cnf(i_0_1257, plain, (hAPP(X1,hAPP(X1,X2))=X2|~c_Lattices_Oboolean__algebra(X3,X1,X4,X5,X6,X7,X8,X9,X10))).
% 10.93/2.07  cnf(i_0_1425, plain, (hBOOL(c_Wellfounded_Oaccp(X1,X2,X3))|~hBOOL(hAPP(hAPP(X1,X2),X4))|~hBOOL(c_Wellfounded_Oaccp(X1,X4,X3)))).
% 10.93/2.07  cnf(i_0_1703, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)!=X3|~class_Lattices_Oupper__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1898, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1897, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1299, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)|~class_Lattices_Olower__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1296, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)!=X2|~class_Lattices_Olower__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1349, plain, (X1=hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X3))!=X4|~class_OrderedGroup_Oab__group__add(X2))).
% 10.93/2.07  cnf(i_0_1718, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1719, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1641, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X1))))).
% 10.93/2.07  cnf(i_0_1118, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1137, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Oorder(X1,X4,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 10.93/2.07  cnf(i_0_1156, plain, (hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))|~hBOOL(hAPP(hAPP(X1,X5),X4)))).
% 10.93/2.07  cnf(i_0_1636, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X2))))).
% 10.93/2.07  cnf(i_0_1398, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(X2,X4)))).
% 10.93/2.07  cnf(i_0_1258, plain, (hAPP(X1,X2)=X3|~c_Lattices_Oboolean__algebra(X4,X1,X5,X6,X7,X8,hAPP(hAPP(X7,X2),X3),hAPP(hAPP(X8,X2),X3),X9))).
% 10.93/2.07  cnf(i_0_1061, plain, (X1=X2|hAPP(c_Set_Oimage(X3,X4,X5),X1)!=hAPP(c_Set_Oimage(X3,X4,X5),X2)|~c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 10.93/2.07  cnf(i_0_1229, plain, (hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X1)),X2),v_x)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(X2,v_x))|~class_HOL_Ouminus(X1))).
% 10.93/2.07  cnf(i_0_1715, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)))|~class_Lattices_Oupper__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1714, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)))|~class_Lattices_Oupper__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1683, plain, (c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 10.93/2.07  cnf(i_0_1337, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_OrderedGroup_Oab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1223, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X3))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1024, plain, (X1=X2|hAPP(c_Set_Oimage(X3,X4,X5),X1)!=hAPP(c_Set_Oimage(X3,X4,X5),X2)|~c_Fun_Oinj__on(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X1),X2),X4,X5))).
% 10.93/2.07  cnf(i_0_1227, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X3))|~class_Lattices_Olower__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1517, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X3)))|hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1222, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X2))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1330, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3))))).
% 10.93/2.07  cnf(i_0_1329, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))))).
% 10.93/2.07  cnf(i_0_1228, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X2))|~class_Lattices_Olower__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1441, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X3)))).
% 10.93/2.07  cnf(i_0_1744, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 10.93/2.07  cnf(i_0_1338, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_OrderedGroup_Ogroup__add(X1))).
% 10.93/2.07  cnf(i_0_1706, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))=X2|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1379, plain, (hBOOL(c_Relation_Osym(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2))|~hBOOL(c_Relation_Osym(X1,X2)))).
% 10.93/2.07  cnf(i_0_1695, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2)),X3)))).
% 10.93/2.07  cnf(i_0_1705, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3))=X2|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1642, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X1)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X1)),c_Arrow__Order__Mirabelle_Omktop(X4,X2))))).
% 10.93/2.07  cnf(i_0_1635, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X3)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X3)),c_Arrow__Order__Mirabelle_Omkbot(X4,X2))))).
% 10.93/2.07  cnf(i_0_1948, plain, (hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X1)),X2),X3),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,v_x)),hAPP(X3,v_x))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1336, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_Int_Onumber__ring(X1))).
% 10.93/2.07  cnf(i_0_1694, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)))).
% 10.93/2.07  cnf(i_0_1412, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X3),X1),X2))|~class_Orderings_Olinorder(X3))).
% 10.93/2.07  cnf(i_0_1043, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_fun(X2,tc_bool))),X3),X4),X5),X6))|~hBOOL(hAPP(hAPP(X4,X5),X6)))).
% 10.93/2.07  cnf(i_0_1044, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_fun(X2,tc_bool))),X3),X4),X5),X6))|~hBOOL(hAPP(hAPP(X3,X5),X6)))).
% 10.93/2.07  cnf(i_0_1190, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1406, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X3),X1),X2))|~class_Orderings_Oorder(X3))).
% 10.93/2.07  cnf(i_0_1567, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),X3)))).
% 10.93/2.07  cnf(i_0_1925, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X3))))).
% 10.93/2.07  cnf(i_0_1172, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1369, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)|~class_OrderedGroup_Ogroup__add(X1))).
% 10.93/2.07  cnf(i_0_1353, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X1),X2))|~c_Orderings_Oorder(X4,X3,X5)|~hBOOL(hAPP(hAPP(X4,X1),X2)))).
% 10.93/2.07  cnf(i_0_1388, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X2)|~class_OrderedGroup_Oab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1380, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X3)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 10.93/2.07  cnf(i_0_1106, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 10.93/2.07  cnf(i_0_1129, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X3)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 10.93/2.07  cnf(i_0_1449, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),hAPP(hAPP(c_Pair(X3,X3),X1),X2)),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_bool)),X3))))).
% 10.93/2.07  cnf(i_0_1432, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)=X3|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)!=c_Orderings_Otop__class_Otop(X1)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1060, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 10.93/2.07  cnf(i_0_1047, plain, (hBOOL(c_Relation_Osingle__valued(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X3,X5))|~hBOOL(c_Relation_Osingle__valued(X2,X4,X5))|~hBOOL(c_Relation_Osingle__valued(X1,X3,X4)))).
% 10.93/2.07  cnf(i_0_1253, plain, (hAPP(hAPP(X1,X2),hAPP(X3,X2))=X4|~c_Lattices_Oboolean__algebra(X5,X3,X6,X7,X8,X1,X9,X4,X10))).
% 10.93/2.07  cnf(i_0_1122, plain, (hBOOL(c_Relation_Oantisym(X1,X2))|~hBOOL(c_Relation_Oantisym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X2,X2),tc_bool)),X1),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2)),X2)))).
% 10.93/2.07  cnf(i_0_1217, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2),X1)|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 10.93/2.07  cnf(i_0_1042, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|hBOOL(hAPP(hAPP(X4,X2),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_fun(X6,tc_bool))),X4),X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1990, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1254, plain, (hAPP(hAPP(X1,X2),hAPP(X3,X2))=X4|~c_Lattices_Oboolean__algebra(X5,X3,X6,X7,X1,X8,X4,X9,X10))).
% 10.93/2.07  cnf(i_0_1255, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),X3)=X4|~c_Lattices_Oboolean__algebra(X5,X2,X6,X7,X8,X1,X9,X4,X10))).
% 10.93/2.07  cnf(i_0_1256, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),X3)=X4|~c_Lattices_Oboolean__algebra(X5,X2,X6,X7,X1,X8,X4,X9,X10))).
% 10.93/2.07  cnf(i_0_1135, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,X3),c_COMBK(X4,X3,X2))=X4|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 10.93/2.07  cnf(i_0_1989, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)|~class_Lattices_Oupper__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1231, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1317, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3),c_COMBK(X4,X3,X2))=X4|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 10.93/2.07  cnf(i_0_1282, plain, (hBOOL(hAPP(c_Orderings_Oorder_Omono(X1,X2,X3),X4))|~c_Orderings_Oorder(X1,X5,X2)|~hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X2,X3),X4))|~class_Orderings_Oorder(X3))).
% 10.93/2.07  cnf(i_0_1561, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Finite__Set_Olattice__class_OInf__fin(X3,X1))=X2|~class_Lattices_Olattice(X1)|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1293, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Finite__Set_Olattice__class_OSup__fin(X3,X1))=X2|~class_Lattices_Olattice(X1)|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1417, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Finite__Set_Olinorder__class_OMax(X3,X1)))|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1545, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMin(X1,X2)),X1))|~c_Finite__Set_Ofinite(X1,X2)|~class_Orderings_Olinorder(X2))).
% 10.93/2.07  cnf(i_0_1546, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMax(X1,X2)),X1))|~c_Finite__Set_Ofinite(X1,X2)|~class_Orderings_Olinorder(X2))).
% 10.93/2.07  cnf(i_0_1721, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1232, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)|~class_Lattices_Olower__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1397, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_Finite__Set_Olinorder__class_OMin(X2,X1)),X3))|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1026, plain, (hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5))=X5|~c_Fun_Oinj__on(X2,X1,X3,X4)|~hBOOL(hAPP(hAPP(c_in(X3),X5),X1)))).
% 10.93/2.07  cnf(i_0_1720, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1780, plain, (hBOOL(c_Relation_Osym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),X3),X1))|~hBOOL(c_Relation_Osym(X3,X1))|~hBOOL(c_Relation_Osym(X2,X1)))).
% 10.93/2.07  cnf(i_0_1426, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1195, plain, (hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X2,X5))=X5|~c_Fun_Oinj__on(X2,X1,X3,X4)|~hBOOL(hAPP(hAPP(c_in(X3),X5),X1)))).
% 10.93/2.07  cnf(i_0_1111, 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))).
% 10.93/2.07  cnf(i_0_1087, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X2),X1))|~class_Orderings_Olinorder(X3))).
% 10.93/2.07  cnf(i_0_1521, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Fun_Oinj__on(X3,X4,X5,X6)|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X1),X4)))).
% 10.93/2.07  cnf(i_0_1134, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),c_COMBK(X4,tc_fun(X3,tc_bool),X2))=X4|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1316, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),c_COMBK(X4,tc_fun(X3,tc_bool),X2))=X4|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1650, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X4)),hAPP(hAPP(c_Pair(X1,X4),X2),X5)),c_Product__Type_OSigma(X3,X6,X1,X4))))).
% 10.93/2.07  cnf(i_0_1212, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))))).
% 10.93/2.07  cnf(i_0_1210, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))))).
% 10.93/2.07  cnf(i_0_1440, plain, (hAPP(X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X5,tc_fun(X3,tc_bool)),X1)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 10.93/2.07  cnf(i_0_1251, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))))).
% 10.93/2.07  cnf(i_0_1248, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))))).
% 10.93/2.07  cnf(i_0_1125, plain, (c_Fun_Oinj__on(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(c_Set_Oimage(X2,X3,X4),X1),X4,X3)|~c_Fun_Oinj__on(X2,X1,X3,X4))).
% 10.93/2.07  cnf(i_0_1092, plain, (c_Finite__Set_Ofinite(hAPP(X1,X2),X3)|~c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X5,tc_fun(X3,tc_bool)),X1),X3)|~c_Finite__Set_Ofinite(X4,X5)|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 10.93/2.07  cnf(i_0_1480, plain, (hAPP(X1,X2)=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))|hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X5,tc_fun(X3,tc_bool)),X1)!=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 10.93/2.07  cnf(i_0_1328, plain, (hAPP(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(t_a,X1)),X2),X3),v_x)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(X2,v_x)),hAPP(X3,v_x))|~class_HOL_Ominus(X1))).
% 10.93/2.07  cnf(i_0_1203, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2))=X3|~class_OrderedGroup_Oab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1237, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)),X1))).
% 10.93/2.07  cnf(i_0_1161, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)|~class_OrderedGroup_Oab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1120, plain, (X1=X2|c_Product__Type_OSigma(X1,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4)!=c_Product__Type_OSigma(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4)|~hBOOL(hAPP(hAPP(c_in(X4),X6),X3)))).
% 10.93/2.07  cnf(i_0_1733, plain, (c_Orderings_Oorder(hAPP(c_COMBC(X1,X1,tc_bool),X2),hAPP(c_COMBC(X1,X1,tc_bool),X3),X1)|~c_Orderings_Oorder(X2,X3,X1))).
% 10.93/2.07  cnf(i_0_1202, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3))=X3|~class_OrderedGroup_Ogroup__add(X1))).
% 10.93/2.07  cnf(i_0_1264, plain, (hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1504, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1697, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1086, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X2),X1))|~class_Ring__and__Field_Oordered__idom(X3))).
% 10.93/2.07  cnf(i_0_1230, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3))=X3|~class_OrderedGroup_Ogroup__add(X1))).
% 10.93/2.07  cnf(i_0_1510, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X5,tc_fun(X6,tc_bool)),X1),X3))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 10.93/2.07  cnf(i_0_1078, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1696, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1540, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X2,X4,X1),X5)))|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5)))).
% 10.93/2.07  cnf(i_0_1358, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3))|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1276, plain, (hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4))=X4|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3))).
% 10.93/2.07  cnf(i_0_1265, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1268, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1267, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1266, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1140, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1272, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1271, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3)))).
% 10.93/2.07  cnf(i_0_1139, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1326, plain, (hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4))=X4|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3))).
% 10.93/2.07  cnf(i_0_1332, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4)))).
% 10.93/2.07  cnf(i_0_1331, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1359, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1693, plain, (hAPP(c_Set_Oimage(c_COMBK(X1,X2,X3),X3,X2),X4)=hAPP(c_fequal(X2),X1)|X4=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 10.93/2.07  cnf(i_0_1221, plain, (hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5))=X5|~hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(c_Set_Oimage(X1,X3,X4),X2))))).
% 10.93/2.07  cnf(i_0_1197, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 10.93/2.07  cnf(i_0_1307, plain, (c_Orderings_Oorder(hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1)),hAPP(c_COMBC(X1,X1,tc_bool),c_HOL_Oord__class_Oless(X1)),X1)|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1198, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1073, plain, (hBOOL(c_Relation_Otrans(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(X1,X1),tc_bool)),X2),X3),X1))|~hBOOL(c_Relation_Otrans(X3,X1))|~hBOOL(c_Relation_Otrans(X2,X1)))).
% 10.93/2.07  cnf(i_0_1421, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2))|~class_OrderedGroup_Ogroup__add(X1))).
% 10.93/2.07  cnf(i_0_1651, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),hAPP(hAPP(c_Pair(X5,X1),X4),X2)),c_Product__Type_OSigma(X6,X3,X5,X1))))).
% 10.93/2.07  cnf(i_0_1077, plain, (hBOOL(c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,X1))|~hBOOL(c_List_Olistsp(X3,X4,X1))|~hBOOL(c_List_Olistsp(X2,X4,X1)))).
% 10.93/2.07  cnf(i_0_1591, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X5)|~hBOOL(hAPP(hAPP(c_in(X5),hAPP(X4,X2)),hAPP(c_Set_Oimage(X4,X1,X5),X3))))).
% 10.93/2.07  cnf(i_0_1535, plain, (hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))|~c_Complete__Lattice_Ocomplete__lattice(X5,X3,X1,X6,X7,X8,X9,X10,X11)|~hBOOL(hAPP(hAPP(c_in(X11),X2),X4)))).
% 10.93/2.07  cnf(i_0_1377, plain, (hBOOL(c_Relation_Osym(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(X1,X1),tc_bool)),X2),X3),X1))|~hBOOL(c_Relation_Osym(X3,X1))|~hBOOL(c_Relation_Osym(X2,X1)))).
% 10.93/2.07  cnf(i_0_1910, plain, (X1=X2|X1=X3|hAPP(hAPP(c_Set_Oinsert(X4),X5),hAPP(c_fequal(X4),X1))!=hAPP(hAPP(c_Set_Oinsert(X4),X2),hAPP(c_fequal(X4),X3)))).
% 10.93/2.07  cnf(i_0_1912, plain, (X1=X2|X3=X2|hAPP(hAPP(c_Set_Oinsert(X4),X1),hAPP(c_fequal(X4),X3))!=hAPP(hAPP(c_Set_Oinsert(X4),X2),hAPP(c_fequal(X4),X5)))).
% 10.93/2.07  cnf(i_0_1420, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3))|~class_OrderedGroup_Oab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1534, plain, (hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))|~c_Complete__Lattice_Ocomplete__lattice(X2,X5,X1,X6,X7,X8,X9,X10,X11)|~hBOOL(hAPP(hAPP(c_in(X11),X4),X3)))).
% 10.93/2.07  cnf(i_0_1035, plain, (c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X4),X3)|~c_Finite__Set_Ofinite(hAPP(X4,X5),X3)|~hBOOL(hAPP(hAPP(c_in(X2),X5),X1)))).
% 10.93/2.07  cnf(i_0_1102, plain, (c_Finite__Set_Olattice_OInf__fin(X1,X2,X3)=hAPP(X4,X2)|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_Complete__Lattice_Ocomplete__lattice(X4,X5,X6,X7,X1,X8,X9,X10,X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 10.93/2.07  cnf(i_0_1206, plain, (c_Finite__Set_Olattice_OSup__fin(X1,X2,X3)=hAPP(X4,X2)|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_Complete__Lattice_Ocomplete__lattice(X5,X4,X6,X7,X8,X1,X9,X10,X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 10.93/2.07  cnf(i_0_1664, plain, (hAPP(X1,X2)=X3|~hBOOL(hAPP(hAPP(c_in(X4),X2),hAPP(hAPP(c_COMBB(X5,tc_bool,X4),hAPP(c_fequal(X5),X3)),X1))))).
% 10.93/2.07  cnf(i_0_1532, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X3),hAPP(hAPP(c_COMBB(X1,tc_bool,X5),X4),X2))))).
% 10.93/2.07  cnf(i_0_1589, plain, (hAPP(hAPP(c_COMBB(X1,tc_bool,X2),X3),c_COMBK(X4,X1,X2))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X3)))).
% 10.93/2.07  cnf(i_0_1494, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 10.93/2.07  cnf(i_0_1498, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 10.93/2.07  cnf(i_0_1529, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_COMBB(X3,tc_bool,X1),X4),X5)))|~hBOOL(hAPP(hAPP(c_in(X3),hAPP(X5,X2)),X4)))).
% 10.93/2.07  cnf(i_0_1547, plain, (hAPP(hAPP(c_COMBB(X1,tc_bool,X2),X3),c_COMBK(X4,X1,X2))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_in(X1),X4),X3)))).
% 10.93/2.07  cnf(i_0_1476, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X4,X2)))).
% 10.93/2.07  cnf(i_0_1138, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(X1,tc_bool,X2),X3),X4),X2)|~c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1967, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1496, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),X2)))).
% 10.93/2.07  cnf(i_0_1500, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),X2)))).
% 10.93/2.07  cnf(i_0_1964, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))|~class_Lattices_Oupper__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1525, plain, (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),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1637, plain, (X1=X2|X3=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X3)),c_Arrow__Order__Mirabelle_Omkbot(X4,X2)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X3)),X4)))).
% 10.93/2.07  cnf(i_0_1103, plain, (hAPP(hAPP(c_COMBB(X1,tc_bool,X2),hAPP(c_Set_Oimage(X3,X2,X1),X4)),X3)=X4|~c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X1))).
% 10.93/2.07  cnf(i_0_1325, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X2),c_Finite__Set_Olattice__class_OInf__fin(X1,X2)),c_Finite__Set_Olattice__class_OSup__fin(X1,X2)))|~class_Lattices_Olattice(X2)|~c_Finite__Set_Ofinite(X1,X2))).
% 10.93/2.07  cnf(i_0_1114, plain, (hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X1,X2,X3,X4,X5),X6),X7))|~hBOOL(hAPP(hAPP(X2,X8),X7))|~hBOOL(hAPP(hAPP(X1,X6),X8)))).
% 10.93/2.07  cnf(i_0_1261, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X4,X2),hAPP(X5,X3))|~c_Lattices_Oboolean__algebra(X1,X5,X6,X7,X4,X8,X9,X10,X11))).
% 10.93/2.07  cnf(i_0_1071, plain, (hAPP(c_Set_Oimage(c_Fun_Othe__inv__into(X1,X2,X3,X4),X4,X3),hAPP(c_Set_Oimage(X2,X3,X4),X1))=X1|~c_Fun_Oinj__on(X2,X1,X3,X4))).
% 10.93/2.07  cnf(i_0_1017, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X4),hAPP(X5,X2)),hAPP(X5,X3)))|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X5,X1,X4))|~class_Orderings_Oorder(X4)|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1645, plain, (X1=X2|X3=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X3)),c_Arrow__Order__Mirabelle_Omktop(X4,X2)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X3)),X4)))).
% 10.93/2.07  cnf(i_0_1638, plain, (X1=X2|X2=X3|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X4,X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X4)))).
% 10.93/2.07  cnf(i_0_1646, plain, (X1=X2|X1=X3|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X4,X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X4)))).
% 10.93/2.07  cnf(i_0_1344, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1019, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X4),hAPP(X5,X2)),hAPP(X5,X3)))|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X5,X1,X4))|~class_Orderings_Oorder(X4)|~class_Orderings_Olinorder(X1))).
% 10.93/2.07  cnf(i_0_1105, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)))).
% 10.93/2.07  cnf(i_0_1059, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 10.93/2.07  cnf(i_0_1399, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_fun(X2,tc_bool))),X3),X4),X5),X6))|~hBOOL(hAPP(hAPP(X4,X5),X6))|~hBOOL(hAPP(hAPP(X3,X5),X6)))).
% 10.93/2.07  cnf(i_0_1345, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1791, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X1),c_Relation_ODomain(X4,X3,X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),hAPP(hAPP(c_Pair(X3,X3),X1),X2)),c_Transitive__Closure_Ortrancl(X4,X3))))).
% 10.93/2.07  cnf(i_0_1491, plain, (hAPP(X1,hAPP(c_fequal(X2),X3))=X3|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X2))).
% 10.93/2.07  cnf(i_0_1592, plain, (hAPP(X1,hAPP(c_fequal(X2),X3))=X3|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X2))).
% 10.93/2.07  cnf(i_0_1205, plain, (hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5))=X5|~c_Fun_Oinj__on(X1,X2,X3,X4)|~hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(c_Set_Oimage(X1,X3,X4),X2))))).
% 10.93/2.07  cnf(i_0_1537, plain, (hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X4),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X6),X1))|~hBOOL(hAPP(hAPP(X4,X6),X5)))).
% 10.93/2.07  cnf(i_0_1908, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(c_fequal(X1),X2)),X3)=hAPP(c_fequal(X1),X2)|~hBOOL(hAPP(X3,X2)))).
% 10.93/2.07  cnf(i_0_1127, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X5,X1),X2)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4)))).
% 10.93/2.07  cnf(i_0_1056, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X3,X1),X4)),hAPP(X4,X5)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_in(X3),X5),X2)))).
% 10.93/2.07  cnf(i_0_1502, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_prod(X1,X1),tc_bool)),c_Transitive__Closure_Ortrancl(X2,X1)),c_Relation_Oconverse(X2,X1,X1))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X3),X3)),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1))))).
% 10.93/2.07  cnf(i_0_1731, plain, (c_Lattices_Odistrib__lattice(hAPP(c_COMBC(X1,X1,tc_bool),X2),hAPP(c_COMBC(X1,X1,tc_bool),X3),X4,X5,X1)|~c_Lattices_Odistrib__lattice(X2,X3,X5,X4,X1))).
% 10.93/2.07  cnf(i_0_1895, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(c_fequal(X1),X2)),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(hAPP(X3,X2)))).
% 10.93/2.07  cnf(i_0_1471, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1966, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1431, plain, (hAPP(c_Set_Oimage(c_COMBK(X1,X2,X3),X3,X2),X4)=hAPP(c_fequal(X2),X1)|~hBOOL(hAPP(hAPP(c_in(X3),X5),X4)))).
% 10.93/2.07  cnf(i_0_1652, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_ODomain(X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X4)),hAPP(hAPP(c_Pair(X1,X4),X2),X5)),X3)))).
% 10.93/2.07  cnf(i_0_1224, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1121, plain, (hBOOL(c_Relation_Oantisym(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1)),X1))|~hBOOL(c_Relation_Oantisym(X2,X1)))).
% 10.93/2.07  cnf(i_0_1041, plain, (hBOOL(c_Relation_Otrans(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1)),X1))|~hBOOL(c_Relation_Otrans(X2,X1)))).
% 10.93/2.07  cnf(i_0_1965, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))|~class_Lattices_Oupper__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1401, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X2)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X5),X4)))).
% 10.93/2.07  cnf(i_0_1238, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)),X1)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),X1))).
% 10.93/2.07  cnf(i_0_1713, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1147, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_OrderedGroup_Oab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1342, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1403, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X5)))).
% 10.93/2.07  cnf(i_0_1146, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 10.93/2.07  cnf(i_0_1400, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1469, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)|hBOOL(hAPP(hAPP(c_in(X1),X3),X2)))).
% 10.93/2.07  cnf(i_0_1468, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)|hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1829, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(c_Relation_OImage(X5,X1,X2),hAPP(c_fequal(X1),X3)))))).
% 10.93/2.07  cnf(i_0_1153, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 10.93/2.07  cnf(i_0_1148, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 10.93/2.07  cnf(i_0_1150, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_OrderedGroup_Oab__semigroup__add(X1))).
% 10.93/2.07  cnf(i_0_1049, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1052, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_Lattices_Olower__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1513, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X6,tc_fun(X1,tc_bool)),X3)))|~hBOOL(hAPP(hAPP(c_in(X6),X4),X5)))).
% 10.93/2.07  cnf(i_0_1149, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 10.93/2.07  cnf(i_0_1470, plain, (hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X2,X4,X1),X5))=hAPP(c_Set_Oimage(X2,X4,X1),X5)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5)))).
% 10.93/2.07  cnf(i_0_1565, plain, (~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4),X2,X5)|~hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X3)),hAPP(c_Set_Oimage(X1,X2,X5),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),hAPP(c_fequal(X2),X3))))))).
% 10.93/2.07  cnf(i_0_1016, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~hBOOL(hAPP(hAPP(c_lessequals(X5),X3),X4))|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X5,X1))|~class_Orderings_Oorder(X1)|~class_Orderings_Olinorder(X5))).
% 10.93/2.07  cnf(i_0_1350, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~hBOOL(hAPP(hAPP(c_lessequals(X5),X3),X4))|~hBOOL(c_Orderings_Oorder__class_Omono(X2,X5,X1))|~class_Orderings_Oorder(X1)|~class_Orderings_Oorder(X5))).
% 10.93/2.07  cnf(i_0_1662, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),hAPP(c_fequal(X1),X2))=X3|hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 10.93/2.07  cnf(i_0_1050, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1095, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1018, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X5),X3),X4))|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X5,X1))|~class_Orderings_Oorder(X1)|~class_Orderings_Olinorder(X5))).
% 10.93/2.07  cnf(i_0_1021, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X5),X3),X4))|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X5,X1))|~class_Orderings_Oorder(X1)|~class_Orderings_Oorder(X5))).
% 10.93/2.07  cnf(i_0_1562, plain, (hAPP(X1,X2)=c_HOL_Oundefined(X3)|hBOOL(hAPP(hAPP(c_in(X4),X2),X5))|~hBOOL(hAPP(hAPP(c_in(tc_fun(X4,X3)),X1),c_FuncSet_Oextensional(X5,X4,X3))))).
% 10.93/2.07  cnf(i_0_1450, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),hAPP(hAPP(c_Pair(X3,X3),X2),X1)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),hAPP(hAPP(c_Pair(X3,X3),X1),X2)),X4))|~hBOOL(c_Relation_Oantisym(X4,X3)))).
% 10.93/2.07  cnf(i_0_1461, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),hAPP(hAPP(c_Pair(X2,X1),X4),X3)),c_Relation_Oconverse(X5,X1,X2))))).
% 10.93/2.07  cnf(i_0_1566, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),X3)))).
% 10.93/2.07  cnf(i_0_1163, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(c_Hilbert__Choice_Oinv__into(X2,X3,X1,X4),X5)),X2))|~hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(c_Set_Oimage(X3,X1,X4),X2))))).
% 10.93/2.07  cnf(i_0_1508, plain, (hBOOL(hAPP(hAPP(hAPP(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X6,tc_fun(X7,tc_fun(X8,tc_bool))),X1),X3),X4))|~hBOOL(hAPP(hAPP(c_in(X6),X2),X5)))).
% 10.93/2.07  cnf(i_0_1977, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|hBOOL(hAPP(hAPP(c_in(X3),X4),X2))|hAPP(hAPP(c_Set_Oinsert(X3),X4),X1)!=hAPP(hAPP(c_Set_Oinsert(X3),X4),X2))).
% 10.93/2.07  cnf(i_0_1472, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1051, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))|~class_Lattices_Olower__semilattice(X1))).
% 10.93/2.07  cnf(i_0_1208, plain, (c_Lattices_Odistrib__lattice(hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1)),hAPP(c_COMBC(X1,X1,tc_bool),c_HOL_Oord__class_Oless(X1)),c_Lattices_Oupper__semilattice__class_Osup(X1),c_Lattices_Olower__semilattice__class_Oinf(X1),X1)|~class_Lattices_Odistrib__lattice(X1))).
% 10.93/2.07  cnf(i_0_1724, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(hAPP(X5,X3),hAPP(X1,X4))|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X2))).
% 10.93/2.07  cnf(i_0_1723, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(hAPP(X5,X3),hAPP(X1,X4))|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X2))).
% 10.93/2.07  cnf(i_0_1466, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X4)),hAPP(hAPP(c_Pair(X3,X4),X5),X2)),X6))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X4)),hAPP(hAPP(c_Pair(X3,X4),X5),X1)),X6))|~hBOOL(c_Relation_Osingle__valued(X6,X3,X4)))).
% 10.93/2.07  cnf(i_0_1628, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X3),X4),X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 10.93/2.07  cnf(i_0_1627, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X3),X4),X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X3,X1))))).
% 10.93/2.07  cnf(i_0_1527, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,tc_fun(X1,tc_bool)),X5)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X5,X6)))|~hBOOL(hAPP(hAPP(c_in(X4),X6),X3)))).
% 10.93/2.07  cnf(i_0_1152, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 10.93/2.07  cnf(i_0_1065, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~c_Orderings_Oorder(X5,X6,X7)|~hBOOL(hAPP(c_Orderings_Oorder_Omono(X5,X7,X1),X2))|~hBOOL(hAPP(hAPP(X5,X3),X4))|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1062, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~c_Orderings_Oorder(X5,X6,X7)|~hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X6,X7,X1),X2))|~hBOOL(hAPP(hAPP(X6,X3),X4))|~class_Orderings_Oorder(X1))).
% 10.93/2.07  cnf(i_0_1160, plain, (X1=X2|hAPP(c_Hilbert__Choice_Oinv__into(X3,X4,X5,X6),X1)!=hAPP(c_Hilbert__Choice_Oinv__into(X3,X4,X5,X6),X2)|~hBOOL(hAPP(hAPP(c_in(X6),X2),hAPP(c_Set_Oimage(X4,X5,X6),X3)))|~hBOOL(hAPP(hAPP(c_in(X6),X1),hAPP(c_Set_Oimage(X4,X5,X6),X3))))).
% 10.93/2.07  cnf(i_0_1700, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_Lattices_Odistrib__lattice(X1))).
% 10.93/2.07  cnf(i_0_1213, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1305, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X3),X5))=hAPP(hAPP(X2,X3),hAPP(hAPP(X1,X4),X5))|~c_Lattices_Odistrib__lattice(X6,X7,X1,X2,X8))).
% 10.93/2.07  cnf(i_0_1303, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X3),X5))=hAPP(hAPP(X2,X3),hAPP(hAPP(X1,X4),X5))|~c_Lattices_Odistrib__lattice(X6,X7,X2,X1,X8))).
% 10.93/2.07  cnf(i_0_1306, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X5),X4))=hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),X4)|~c_Lattices_Odistrib__lattice(X6,X7,X1,X2,X8))).
% 10.93/2.07  cnf(i_0_1304, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X5),X4))=hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),X4)|~c_Lattices_Odistrib__lattice(X6,X7,X2,X1,X8))).
% 10.93/2.07  cnf(i_0_1209, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1467, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4))|hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1214, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4)))).
% 10.93/2.07  cnf(i_0_1211, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4)))).
% 10.93/2.07  cnf(i_0_1711, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1246, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1654, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_ODomain(c_Relation_Oconverse(X3,X4,X1),X1,X4)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X1)),hAPP(hAPP(c_Pair(X4,X1),X5),X2)),X3)))).
% 10.93/2.07  cnf(i_0_1263, plain, (hAPP(X1,hAPP(hAPP(X2,X3),X4))=hAPP(hAPP(X5,hAPP(X1,X3)),hAPP(X1,X4))|~c_Lattices_Oboolean__algebra(X6,X1,X7,X8,X5,X2,X9,X10,X11))).
% 10.93/2.07  cnf(i_0_1262, plain, (hAPP(X1,hAPP(hAPP(X2,X3),X4))=hAPP(hAPP(X5,hAPP(X1,X3)),hAPP(X1,X4))|~c_Lattices_Oboolean__algebra(X6,X1,X7,X8,X2,X5,X9,X10,X11))).
% 10.93/2.07  cnf(i_0_1247, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1249, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 10.93/2.07  cnf(i_0_1250, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 10.93/2.07  cnf(i_0_1830, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Relation_OImage(X3,X4,X1),hAPP(c_fequal(X4),X5))))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X1)),hAPP(hAPP(c_Pair(X4,X1),X5),X2)),X3)))).
% 10.93/2.07  cnf(i_0_1709, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))|~class_OrderedGroup_Olordered__ab__group__add__join(X1))).
% 10.93/2.07  cnf(i_0_1375, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(hAPP(c_COMBB(X2,X2,X1),c_HOL_Ouminus__class_Ouminus(X2)),X3)),X4)=hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X4))|~class_OrderedGroup_Oab__group__add(X2))).
% 10.93/2.07  cnf(i_0_1351, plain, (hAPP(c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),X3,X1),hAPP(c_Set_Oimage(X2,X1,X3),X4))=X4|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3))).
% 10.93/2.07  cnf(i_0_1658, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Wellfounded_Oacc(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X4),c_Wellfounded_Oacc(X3,X1))))).
% 10.93/2.07  cnf(i_0_1477, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(X2,X3)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X5,tc_fun(X1,tc_bool)),X2))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X5,tc_fun(X1,tc_bool)),X2)|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4)))).
% 10.93/2.07  cnf(i_0_1183, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1554, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X1,X1),X1))))).
% 10.93/2.07  cnf(i_0_1732, plain, (c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(c_COMBC(X3,X3,tc_bool),X4),hAPP(c_COMBC(X3,X3,tc_bool),X5),X6,X7,X8,X9,X3)|~c_Complete__Lattice_Ocomplete__lattice(X2,X1,X4,X5,X7,X6,X9,X8,X3))).
% 10.93/2.07  cnf(i_0_1552, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1))))).
% 10.93/2.07  cnf(i_0_1712, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1536, plain, (hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6),X7))|~hBOOL(hAPP(hAPP(hAPP(X5,X8),X6),X7))|~hBOOL(hAPP(hAPP(c_in(X2),X8),X1)))).
% 10.93/2.07  cnf(i_0_1462, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),c_Relation_Oconverse(X5,X2,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),hAPP(hAPP(c_Pair(X2,X1),X4),X3)),X5)))).
% 10.93/2.07  cnf(i_0_1181, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_OrderedGroup_Olordered__ab__group__add__meet(X1))).
% 10.93/2.07  cnf(i_0_1701, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),X3)|~class_Lattices_Odistrib__lattice(X1))).
% 10.93/2.07  cnf(i_0_1788, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Wellfounded_Oacc(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X4),c_Wellfounded_Oacc(X3,X1))))).
% 10.93/2.07  cnf(i_0_1273, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X5),X4)))).
% 10.93/2.07  cnf(i_0_1132, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1707, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))|~class_Lattices_Odistrib__lattice(X1))).
% 10.93/2.07  cnf(i_0_1164, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(X3,X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X5))|hBOOL(hAPP(hAPP(c_in(X1),X4),X5))|~class_OrderedGroup_Ocomm__monoid__add(X2)|~c_Finite__Set_Ofinite(X5,X1))).
% 10.93/2.07  cnf(i_0_1710, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)|~class_OrderedGroup_Olordered__ab__group__add__join(X1))).
% 10.93/2.07  cnf(i_0_1390, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1389, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5)))).
% 10.93/2.07  cnf(i_0_1196, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 10.93/2.07  cnf(i_0_1708, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)|~class_Lattices_Odistrib__lattice(X1))).
% 10.93/2.07  cnf(i_0_1288, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(X2,X3)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X5,tc_fun(X1,tc_bool)),X2))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X5,tc_fun(X1,tc_bool)),X2)|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4)))).
% 10.93/2.07  cnf(i_0_1184, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1656, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Relation_OImage(X3,X4,X1),X5)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X1)),hAPP(hAPP(c_Pair(X4,X1),X6),X2)),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X6),X5)))).
% 10.93/2.07  cnf(i_0_1182, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X1))).
% 10.93/2.07  cnf(i_0_1473, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X3),X2)))).
% 10.93/2.07  cnf(i_0_1447, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X3),X2)),X4))|~hBOOL(c_Relation_Osym(X4,X1)))).
% 10.93/2.07  cnf(i_0_1660, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),c_Product__Type_OSigma(X5,X6,X1,X2)))|~hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(X6,X3)))|~hBOOL(hAPP(hAPP(c_in(X1),X3),X5)))).
% 10.93/2.07  cnf(i_0_1341, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 10.93/2.07  cnf(i_0_1692, plain, (c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X3,X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))),X2)|~c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(X5,X3,X1),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))),X1))).
% 10.93/2.07  cnf(i_0_1648, plain, (c_Relation_Orel__comp(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X2,X2),tc_bool)),X3),X4),X2,X2,X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool))|c_Relation_Orel__comp(X1,X3,X2,X2,X2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool))|c_Relation_Orel__comp(X1,X4,X2,X2,X2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)))).
% 10.93/2.07  cnf(i_0_1647, plain, (c_Relation_Orel__comp(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_prod(X1,X1),tc_bool)),X2),X3),X4,X1,X1,X1)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool))|c_Relation_Orel__comp(X2,X4,X1,X1,X1)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool))|c_Relation_Orel__comp(X3,X4,X1,X1,X1)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)))).
% 10.93/2.07  cnf(i_0_1555, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X1,X1),X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 10.93/2.07  cnf(i_0_1486, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),hAPP(c_fequal(X2),X4)))=hAPP(hAPP(X5,X3),X4)|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X2))).
% 10.93/2.07  cnf(i_0_1487, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),hAPP(c_fequal(X2),X4)))=hAPP(hAPP(X5,X3),X4)|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X2))).
% 10.93/2.07  cnf(i_0_1563, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),hAPP(c_fequal(X1),X5)))=hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X4)|hBOOL(hAPP(hAPP(c_in(X1),X5),X4))|~c_Finite__Set_Ofinite(X4,X1)|~class_OrderedGroup_Oab__group__add(X2))).
% 10.93/2.07  cnf(i_0_1415, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X5))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,X4)),hAPP(X2,X5))))|~class_Lattices_Olower__semilattice(X1)|~class_Lattices_Olower__semilattice(X3)|~hBOOL(c_Orderings_Oorder__class_Omono(X2,X3,X1)))).
% 10.93/2.07  cnf(i_0_1234, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,X3)),hAPP(X2,X4))),hAPP(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X5),X3),X4))))|~class_Lattices_Oupper__semilattice(X1)|~class_Lattices_Oupper__semilattice(X5)|~hBOOL(c_Orderings_Oorder__class_Omono(X2,X5,X1)))).
% 10.93/2.07  cnf(i_0_1239, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(c_Relation_OImage(X2,X3,X1),X4)),hAPP(c_Relation_OImage(X2,X3,X1),X5))=hAPP(c_Relation_OImage(X2,X3,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X5))|~hBOOL(c_Relation_Osingle__valued(c_Relation_Oconverse(X2,X3,X1),X1,X3)))).
% 10.93/2.07  cnf(i_0_1040, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X5))=hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X5))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),X5)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_Finite__Set_Ofinite(X5,X2)|~c_Finite__Set_Ofinite(X4,X2))).
% 10.93/2.07  cnf(i_0_1315, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(c_Set_Oimage(X2,X3,X1),X4)),hAPP(c_Set_Oimage(X2,X3,X1),X5))=hAPP(c_Set_Oimage(X2,X3,X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4),X5))|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X1))).
% 10.93/2.07  cnf(i_0_1033, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(c_Set_Oimage(X2,X3,X1),X4)),hAPP(c_Set_Oimage(X2,X3,X1),X5))=hAPP(c_Set_Oimage(X2,X3,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X5))|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X1))).
% 10.93/2.07  cnf(i_0_1556, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),hAPP(hAPP(c_Pair(X3,X3),X1),X2)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),hAPP(hAPP(c_Pair(X3,X3),X1),X2)),c_Transitive__Closure_Ortrancl(X4,X3))))).
% 10.93/2.07  cnf(i_0_1022, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),hAPP(c_fequal(X1),X5)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X4)),hAPP(X3,X5))|~c_Finite__Set_Ofinite(X4,X1)|~class_OrderedGroup_Oab__group__add(X2)|~hBOOL(hAPP(hAPP(c_in(X1),X5),X4)))).
% 10.93/2.07  cnf(i_0_1169, plain, (c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),hAPP(c_Set_Oimage(X1,X2,X5),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4))),hAPP(c_Set_Oimage(X1,X2,X5),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),X3)))!=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))).
% 10.93/2.07  cnf(i_0_1672, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_Set_Oinsert(X3),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X3),X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X5))|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1023, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),hAPP(c_fequal(X1),X5)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X4)),hAPP(X3,X5))|~class_Ring__and__Field_Oring(X2)|~c_Finite__Set_Ofinite(X4,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X5),X4)))).
% 10.93/2.07  cnf(i_0_1464, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),X4))|~hBOOL(c_Relation_Otrans(X4,X1)))).
% 10.93/2.07  cnf(i_0_1677, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X5))|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1457, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),X4)))).
% 10.93/2.07  cnf(i_0_1456, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),X4)))).
% 10.93/2.07  cnf(i_0_1666, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_Set_Oinsert(X3),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X3),X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X6),X1)))).
% 10.93/2.07  cnf(i_0_1074, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1302, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))))|~class_Lattices_Olattice(X1))).
% 10.93/2.07  cnf(i_0_1370, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X3)),hAPP(hAPP(c_Finite__Set_Osetsum(X4,X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X5),hAPP(c_fequal(X4),X3))))=hAPP(hAPP(c_Finite__Set_Osetsum(X4,X1),X2),X5)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_Finite__Set_Ofinite(X5,X4)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5)))).
% 10.93/2.07  cnf(i_0_1241, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4)),X5))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X5))|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1454, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 10.93/2.07  cnf(i_0_1446, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),c_Relation_Orel__comp(X5,X6,X1,X7,X2)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X7,X2)),hAPP(hAPP(c_Pair(X7,X2),X8),X4)),X6))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X7)),hAPP(hAPP(c_Pair(X1,X7),X3),X8)),X5)))).
% 10.93/2.07  cnf(i_0_1348, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X3,tc_bool),X2),c_Relation_OImage(X5,X4,X3)),X6))=hAPP(c_Relation_OImage(X5,X4,X3),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X4,tc_bool)),X6))|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~hBOOL(c_Relation_Osingle__valued(c_Relation_Oconverse(X5,X4,X3),X3,X4)))).
% 10.93/2.07  cnf(i_0_1736, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X5))|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1649, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),hAPP(hAPP(c_Pair(X3,X3),X1),X2)),X4))|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),hAPP(hAPP(c_Pair(X3,X3),X2),X1)),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X5))|~hBOOL(hAPP(hAPP(c_in(X3),X1),X5))|~hBOOL(c_Relation_Ototal__on(X5,X4,X3)))).
% 10.93/2.07  cnf(i_0_1445, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),X4)))).
% 10.93/2.07  cnf(i_0_1559, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),X4)))).
% 10.93/2.07  cnf(i_0_1564, plain, (c_Fun_Oinj__on(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4),X2,X5)|hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X3)),hAPP(c_Set_Oimage(X1,X2,X5),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),hAPP(c_fequal(X2),X3)))))|~c_Fun_Oinj__on(X1,X4,X2,X5))).
% 10.93/2.07  cnf(i_0_1107, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X5))),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),X5)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X5))|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_Finite__Set_Ofinite(X5,X2)|~c_Finite__Set_Ofinite(X4,X2))).
% 10.93/2.07  cnf(i_0_1864, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBC(X1,X2,tc_bool),X3),X4),X1)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),X5))),X3)),X1)|~c_Finite__Set_Ofinite(X5,X2)|~hBOOL(hAPP(X5,X4)))).
% 10.93/2.07  cnf(i_0_1170, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(c_Set_Oimage(X2,X3,X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4),X5))),hAPP(c_Set_Oimage(X2,X3,X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X5),X4)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X5),X3,X1))).
% 10.93/2.07  cnf(i_0_1459, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),X4)))).
% 10.93/2.07  cnf(i_0_1207, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X5))),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),X5)))=hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X5))|~c_Finite__Set_Ofinite(X5,X2)|~c_Finite__Set_Ofinite(X4,X2)|~class_OrderedGroup_Oab__group__add(X1))).
% 10.93/2.07  cnf(i_0_1458, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),X4)))).
% 10.93/2.07  cnf(i_0_1551, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 10.93/2.07  cnf(i_0_1550, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 10.93/2.07  cnf(i_0_1571, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(hAPP(c_COMBS(X1,X2,X2),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,X2),X1),c_HOL_Ominus__class_Ominus(X2)),X3)),X4)),X5)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X5)),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X4),X5))|~class_OrderedGroup_Oab__group__add(X2))).
% 10.93/2.07  cnf(i_0_1813, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,tc_fun(X3,tc_bool)),X4)),X5)|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1553, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X4,X1)))|hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X2)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(c_Relation_Osingle__valued(X4,X1,X1)))).
% 10.93/2.07  cnf(i_0_1436, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool))),X4)),X5))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X4)),X5)|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1572, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(hAPP(c_COMBS(X1,X2,X2),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,X2),X1),c_HOL_Oplus__class_Oplus(X2)),X3)),X4)),X5)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X5)),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X4),X5))|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 10.93/2.07  cnf(i_0_1444, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1))))).
% 10.93/2.07  cnf(i_0_1870, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBC(X1,X2,tc_bool),X3),X4),X1)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),X5))),X3)),X1)|~c_Finite__Set_Ofinite(X5,X2)|~hBOOL(hAPP(hAPP(c_in(X2),X4),X5)))).
% 10.93/2.07  cnf(i_0_1792, plain, (c_Lattices_Oboolean__algebra(hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,X1),tc_fun(tc_fun(X1,X1),tc_fun(X1,X1)),X1),c_COMBB(X1,X1,X1)),X2)),X3),X3,hAPP(c_COMBC(X1,X1,tc_bool),X4),hAPP(c_COMBC(X1,X1,tc_bool),X5),X2,X6,X7,X8,X1)|~c_Lattices_Oboolean__algebra(X9,X3,X4,X5,X6,X2,X8,X7,X1))).
% 10.93/2.07  cnf(i_0_1437, plain, (hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,tc_fun(X3,tc_bool)),X4)),X5)|X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 10.93/2.07  cnf(i_0_1691, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X3))),X4)),X2)|hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1(X3,X4,X1,X2)))|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1669, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X3,tc_bool),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_bool),X2),X1),c_Finite__Set_Osetsum(X3,X2)),hAPP(c_COMBC(X3,X1,X2),X4))),X5)),X6)=hAPP(hAPP(c_Finite__Set_Osetsum(X3,X2),hAPP(hAPP(c_COMBC(X3,tc_fun(X1,tc_bool),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,X2),tc_fun(tc_fun(X1,tc_bool),X2),X3),c_Finite__Set_Osetsum(X1,X2)),X4)),X6)),X5)|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 10.93/2.07  cnf(i_0_1810, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X3))),X4)),X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBC(X2,X1,tc_bool),X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1(X3,X4,X1,X2)),X2)|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1787, plain, (c_Lattices_Oboolean__algebra(hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,X1),tc_fun(tc_fun(X1,X1),tc_fun(X1,X1)),X1),c_COMBB(X1,X1,X1)),c_Lattices_Oupper__semilattice__class_Osup(X1))),c_HOL_Ouminus__class_Ouminus(X1)),c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1)),hAPP(c_COMBC(X1,X1,tc_bool),c_HOL_Oord__class_Oless(X1)),c_Lattices_Oupper__semilattice__class_Osup(X1),c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1),c_Orderings_Obot__class_Obot(X1),X1)|~class_Lattices_Oboolean__algebra(X1))).
% 10.93/2.07  cnf(i_0_1835, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X3))),X4)),X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBC(X2,X1,tc_bool),X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bex__1__1(X3,X4,X1,X2)),X2)|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1821, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X3))),X4)),X2)|hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bex__1__1(X3,X4,X1,X2)),X3))|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1867, plain, (hAPP(X1,X2)=hAPP(X3,hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X4,tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X4),c_Collect(X4)),hAPP(c_COMBC(X4,X4,tc_bool),X5))))|~c_Complete__Lattice_Ocomplete__lattice(X1,X3,X5,X6,X7,X8,X9,X10,X4))).
% 10.93/2.07  cnf(i_0_1871, plain, (hAPP(X1,X2)=hAPP(X3,hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X4,tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X4),c_Collect(X4)),hAPP(c_COMBC(X4,X4,tc_bool),hAPP(c_COMBC(X4,X4,tc_bool),X5)))))|~c_Complete__Lattice_Ocomplete__lattice(X3,X1,X5,X6,X7,X8,X9,X10,X4))).
% 10.93/2.07  cnf(i_0_1991, plain, (X1=X2|hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_bool),tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_fun(X4,tc_bool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_bool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_bool),X4),c_in(tc_prod(X3,X4)))),c_Pair(X3,X4)))),X1)!=hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_bool),tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_fun(X4,tc_bool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_bool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_bool),X4),c_in(tc_prod(X3,X4)))),c_Pair(X3,X4)))),X2))).
% 10.93/2.07  cnf(i_0_1688, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),X2,X1),hAPP(c_Finite__Set_Osetsum(X3,X2),X4)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X1),c_Collect(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X1),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_and),X5))),hAPP(c_COMBC(X3,X1,tc_bool),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,tc_bool),X3),c_fequal(X1)),X6)))))),hAPP(c_Set_Oimage(X6,X3,X1),X5))=hAPP(hAPP(c_Finite__Set_Osetsum(X3,X2),X4),X5)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~c_Finite__Set_Ofinite(X5,X3))).
% 10.93/2.07  cnf(i_0_1877, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_Ex(X1)),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X2),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X2),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,X2),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_bool)),X2),c_COMBB(X2,tc_bool,X1)),c_fequal(X2))),X3)))),X4)),X2)|~c_Finite__Set_Ofinite(X4,X1))).
% 10.93/2.07  cnf(i_0_1814, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),c_HOL_Oord__class_Oless(t_a)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_a),c_COMBB(t_b,tc_bool,t_a)),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_HOL_Oord__class_Oless(t_b)),v_f))),v_f))))=c_Orderings_Oorder__class_Ostrict__mono(v_f,t_a,t_b)|~class_Orderings_Oorder(t_b)|~class_Orderings_Oorder(t_a))).
% 10.93/2.07  cnf(i_0_1815, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),c_lessequals(t_a)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_a),c_COMBB(t_b,tc_bool,t_a)),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_lessequals(t_b)),v_f))),v_f))))=c_Orderings_Oorder__class_Omono(v_f,t_a,t_b)|~class_Orderings_Oorder(t_b)|~class_Orderings_Oorder(t_a))).
% 10.93/2.07  cnf(i_0_1849, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(hAPP(c_COMBS(X1,tc_fun(X3,tc_bool),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_bool),X2),X1),c_Finite__Set_Osetsum(X3,X2)),X4)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X1),c_Collect(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X1),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_and),X5))),X6)))),X7)=hAPP(hAPP(c_Finite__Set_Osetsum(X3,X2),hAPP(hAPP(c_COMBS(X3,tc_fun(X1,tc_bool),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,X2),tc_fun(tc_fun(X1,tc_bool),X2),X3),c_Finite__Set_Osetsum(X1,X2)),hAPP(c_COMBC(X1,X3,X2),X4))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X3),c_Collect(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X3),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X7))),hAPP(c_COMBC(X1,X3,tc_bool),X6))))),X5)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~c_Finite__Set_Ofinite(X7,X1)|~c_Finite__Set_Ofinite(X5,X3))).
% 10.93/2.07  cnf(i_0_1863, plain, (c_Finite__Set_Olattice__class_OInf__fin(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2))))),X3)),X1)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Finite__Set_Olattice__class_OInf__fin(X3,X1))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Lattices_Odistrib__lattice(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1838, plain, (c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(c_HOL_Oplus__class_Oplus(X1),X2))))),X3)),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_Finite__Set_Olinorder__class_OMin(X3,X1))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_OrderedGroup_Oordered__ab__semigroup__add(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1840, plain, (c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(c_HOL_Oplus__class_Oplus(X1),X2))))),X3)),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_Finite__Set_Olinorder__class_OMax(X3,X1))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_OrderedGroup_Oordered__ab__semigroup__add(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1841, plain, (c_Finite__Set_Olattice__class_OSup__fin(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2))))),X3)),X1)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Finite__Set_Olattice__class_OSup__fin(X3,X1))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Lattices_Odistrib__lattice(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 10.93/2.07  cnf(i_0_1836, plain, (c_Finite__Set_Olinorder_OMin(X1,hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X2),c_Ex(X2)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X2),c_COMBS(X2,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_fun(tc_bool,tc_bool)),X2),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,X2),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,X2),tc_fun(X2,tc_bool)),X2),c_COMBB(X2,tc_bool,X2)),c_fequal(X2))),hAPP(X3,X4))))),X5)),X2)=hAPP(hAPP(X3,X4),c_Finite__Set_Olinorder_OMin(X1,X5,X2))|X5=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_OrderedGroup_Oordered__ab__semigroup__add(X3,X1,X6,X2)|~c_Finite__Set_Ofinite(X5,X2))).
% 10.93/2.07  cnf(i_0_1837, plain, (c_Finite__Set_Olinorder_OMax(X1,hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X2),c_Ex(X2)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X2),c_COMBS(X2,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_fun(tc_bool,tc_bool)),X2),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,X2),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,X2),tc_fun(X2,tc_bool)),X2),c_COMBB(X2,tc_bool,X2)),c_fequal(X2))),hAPP(X3,X4))))),X5)),X2)=hAPP(hAPP(X3,X4),c_Finite__Set_Olinorder_OMax(X1,X5,X2))|X5=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_OrderedGroup_Oordered__ab__semigroup__add(X3,X1,X6,X2)|~c_Finite__Set_Ofinite(X5,X2))).
% 10.93/2.07  cnf(i_0_1842, plain, (c_Finite__Set_Olattice_OInf__fin(X1,hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X2),c_Ex(X2)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X2),c_COMBS(X2,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_fun(tc_bool,tc_bool)),X2),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,X2),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,X2),tc_fun(X2,tc_bool)),X2),c_COMBB(X2,tc_bool,X2)),c_fequal(X2))),hAPP(X3,X4))))),X5)),X2)=hAPP(hAPP(X3,X4),c_Finite__Set_Olattice_OInf__fin(X1,X5,X2))|X5=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_Lattices_Odistrib__lattice(X6,X7,X1,X3,X2)|~c_Finite__Set_Ofinite(X5,X2))).
% 10.93/2.07  cnf(i_0_1839, plain, (c_Finite__Set_Olattice_OSup__fin(X1,hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X2),c_Ex(X2)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X2),c_COMBS(X2,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_fun(tc_bool,tc_bool)),X2),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,X2),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,X2),tc_fun(X2,tc_bool)),X2),c_COMBB(X2,tc_bool,X2)),c_fequal(X2))),hAPP(X3,X4))))),X5)),X2)=hAPP(hAPP(X3,X4),c_Finite__Set_Olattice_OSup__fin(X1,X5,X2))|X5=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_Lattices_Odistrib__lattice(X6,X7,X3,X1,X2)|~c_Finite__Set_Ofinite(X5,X2))).
% 10.93/2.07  cnf(i_0_1800, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,tc_fun(X1,X2)),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),tc_fun(X1,X2)),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_All(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,X2)),hAPP(c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies)),X3)))),hAPP(hAPP(c_COMBS(tc_fun(X1,X2),tc_fun(X1,X2),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_fun(X1,tc_bool))),tc_fun(X1,X2)),c_COMBC(X1,tc_fun(X1,X2),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_bool))),tc_fun(X1,X2)),hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_bool)),X1),c_COMBB(X2,tc_bool,X1))),hAPP(c_COMBB(X2,tc_fun(X2,tc_bool),X1),c_HOL_Oord__class_Oless(X2))))),c_COMBI(tc_fun(X1,X2))))))=c_Orderings_Oorder_Ostrict__mono(X3,X1,X2)|~c_Orderings_Oorder(X4,X3,X1)|~class_Orderings_Oorder(X2))).
% 10.93/2.07  cnf(i_0_1799, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,tc_fun(X1,X2)),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),tc_fun(X1,X2)),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_All(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,X2)),hAPP(c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies)),X3)))),hAPP(hAPP(c_COMBS(tc_fun(X1,X2),tc_fun(X1,X2),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_fun(X1,tc_bool))),tc_fun(X1,X2)),c_COMBC(X1,tc_fun(X1,X2),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_bool))),tc_fun(X1,X2)),hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_bool)),X1),c_COMBB(X2,tc_bool,X1))),hAPP(c_COMBB(X2,tc_fun(X2,tc_bool),X1),c_lessequals(X2))))),c_COMBI(tc_fun(X1,X2))))))=c_Orderings_Oorder_Omono(X3,X1,X2)|~c_Orderings_Oorder(X3,X4,X1)|~class_Orderings_Oorder(X2))).
% 10.93/2.07  cnf(i_0_1834, plain, (c_Finite__Set_Olattice__class_OInf__fin(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),c_Lattices_Oupper__semilattice__class_Osup(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2))),X3)))),X1)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Finite__Set_Olattice__class_OInf__fin(X2,X1)),c_Finite__Set_Olattice__class_OInf__fin(X3,X1))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Lattices_Odistrib__lattice(X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 10.93/2.07  cnf(i_0_1804, plain, (c_Finite__Set_Olattice__class_OSup__fin(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),c_Lattices_Olower__semilattice__class_Oinf(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2))),X3)))),X1)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Finite__Set_Olattice__class_OSup__fin(X2,X1)),c_Finite__Set_Olattice__class_OSup__fin(X3,X1))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Lattices_Odistrib__lattice(X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 10.93/2.07  cnf(i_0_1805, plain, (hAPP(hAPP(X1,c_Finite__Set_Olattice_OInf__fin(X2,X3,X4)),c_Finite__Set_Olattice_OInf__fin(X2,X5,X4))=c_Finite__Set_Olattice_OInf__fin(X2,hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_Ex(X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool),X4),hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_Ex(X4))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),tc_fun(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_bool))),X4),c_COMBS(X4,tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_fun(tc_bool,tc_bool))),tc_fun(X4,tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),X4),hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),X4),c_COMBS(X4,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_fun(tc_bool,tc_bool))),X4),hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_fun(tc_bool,tc_bool)),X4),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_fun(X4,X4)),tc_fun(X4,tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X4,X4),tc_fun(X4,tc_bool)),tc_fun(tc_fun(X4,tc_fun(X4,X4)),tc_fun(X4,tc_fun(X4,tc_bool))),X4),c_COMBB(tc_fun(X4,X4),tc_fun(X4,tc_bool),X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(tc_fun(X4,X4),tc_fun(X4,tc_bool)),X4),c_COMBB(X4,tc_bool,X4)),c_fequal(X4)))),X1))))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),X4),c_COMBB(tc_bool,tc_bool,X4)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and),X3))),X5)))),X4)|X3=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|X5=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|~c_Lattices_Odistrib__lattice(X6,X7,X2,X1,X4)|~c_Finite__Set_Ofinite(X5,X4)|~c_Finite__Set_Ofinite(X3,X4))).
% 10.93/2.07  cnf(i_0_1806, plain, (hAPP(hAPP(X1,c_Finite__Set_Olattice_OSup__fin(X2,X3,X4)),c_Finite__Set_Olattice_OSup__fin(X2,X5,X4))=c_Finite__Set_Olattice_OSup__fin(X2,hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_Ex(X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool),X4),hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_Ex(X4))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),tc_fun(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_bool))),X4),c_COMBS(X4,tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_fun(tc_bool,tc_bool))),tc_fun(X4,tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),X4),hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),X4),c_COMBS(X4,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_fun(tc_bool,tc_bool))),X4),hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_fun(tc_bool,tc_bool)),X4),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_fun(X4,X4)),tc_fun(X4,tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X4,X4),tc_fun(X4,tc_bool)),tc_fun(tc_fun(X4,tc_fun(X4,X4)),tc_fun(X4,tc_fun(X4,tc_bool))),X4),c_COMBB(tc_fun(X4,X4),tc_fun(X4,tc_bool),X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(tc_fun(X4,X4),tc_fun(X4,tc_bool)),X4),c_COMBB(X4,tc_bool,X4)),c_fequal(X4)))),X1))))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),X4),c_COMBB(tc_bool,tc_bool,X4)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and),X3))),X5)))),X4)|X3=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|X5=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|~c_Lattices_Odistrib__lattice(X6,X7,X1,X2,X4)|~c_Finite__Set_Ofinite(X5,X4)|~c_Finite__Set_Ofinite(X3,X4))).
% 10.93/2.07  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 10.93/2.07  # Begin printing tableau
% 10.93/2.07  # Found 4 steps
% 10.93/2.07  cnf(i_0_1992, negated_conjecture, (v_y!=v_x), inference(start_rule)).
% 10.93/2.07  cnf(i_0_2034, plain, (v_y!=v_x), inference(extension_rule, [i_0_2030])).
% 10.93/2.07  cnf(i_0_3453, plain, (~hBOOL(hAPP(hAPP(c_fequal(X8),v_y),v_x))), inference(extension_rule, [i_0_1956])).
% 10.93/2.07  cnf(i_0_3495, plain, (~hBOOL(hAPP(hAPP(c_in(X7),v_x),hAPP(c_fequal(X8),v_y)))), inference(etableau_closure_rule, [i_0_3495, ...])).
% 10.93/2.07  # End printing tableau
% 10.93/2.07  # SZS output end
% 10.93/2.07  # Branches closed with saturation will be marked with an "s"
% 10.93/2.09  # Child (12911) has found a proof.
% 10.93/2.09  
% 10.93/2.09  # Proof search is over...
% 10.93/2.09  # Freeing feature tree
%------------------------------------------------------------------------------