TSTP Solution File: SCT033-1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SCT033-1 : 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 : n026.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 21:24:16 EDT 2022
% Result : Unsatisfiable 30.88s 4.37s
% Output : CNFRefutation 31.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT033-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 2 00:29:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 # No SInE strategy applied
% 0.20/0.48 # Auto-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_PS_S0Y
% 0.20/0.48 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.48 #
% 0.20/0.48 # Presaturation interreduction done
% 0.20/0.48 # Number of axioms: 672 Number of unprocessed: 558
% 0.20/0.48 # Tableaux proof search.
% 0.20/0.48 # APR header successfully linked.
% 0.20/0.48 # Hello from C++
% 0.20/0.49 # The folding up rule is enabled...
% 0.20/0.49 # Local unification is enabled...
% 0.20/0.49 # Any saturation attempts will use folding labels...
% 0.20/0.49 # 558 beginning clauses after preprocessing and clausification
% 0.20/0.49 # Creating start rules for all 1 conjectures.
% 0.20/0.49 # There are 1 start rule candidates:
% 0.20/0.49 # Found 151 unit axioms.
% 0.20/0.49 # 1 start rule tableaux created.
% 0.20/0.49 # 407 extension rule candidate clauses
% 0.20/0.49 # 151 unit axiom clauses
% 0.20/0.49
% 0.20/0.49 # Requested 8, 32 cores available to the main process.
% 0.20/0.49 # There are not enough tableaux to fork, creating more from the initial 1
% 0.20/0.49 # Returning from population with 44 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.49 # We now have 44 tableaux to operate on
% 30.88/4.37 # There were 2 total branch saturation attempts.
% 30.88/4.37 # There were 0 of these attempts blocked.
% 30.88/4.37 # There were 0 deferred branch saturation attempts.
% 30.88/4.37 # There were 0 free duplicated saturations.
% 30.88/4.37 # There were 2 total successful branch saturations.
% 30.88/4.37 # There were 0 successful branch saturations in interreduction.
% 30.88/4.37 # There were 0 successful branch saturations on the branch.
% 30.88/4.37 # There were 2 successful branch saturations after the branch.
% 30.88/4.37 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.88/4.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.88/4.37 # Begin clausification derivation
% 30.88/4.37
% 30.88/4.37 # End clausification derivation
% 30.88/4.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 30.88/4.37 cnf(i_0_1353, plain, (class_Orderings_Obot(tc_bool))).
% 30.88/4.37 cnf(i_0_1348, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 30.88/4.37 cnf(i_0_1346, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 30.88/4.37 cnf(i_0_1351, plain, (class_Lattices_Olattice(tc_bool))).
% 30.88/4.37 cnf(i_0_1347, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 30.88/4.37 cnf(i_0_1355, plain, (c_fequal(X1,X1,X2))).
% 30.88/4.37 cnf(i_0_1349, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 30.88/4.37 cnf(i_0_1352, plain, (class_Orderings_Oorder(tc_bool))).
% 30.88/4.37 cnf(i_0_1354, plain, (class_HOL_Oord(tc_bool))).
% 30.88/4.37 cnf(i_0_1350, plain, (class_Orderings_Opreorder(tc_bool))).
% 30.88/4.37 cnf(i_0_1181, plain, (c_Relation_Osym(c_Relation_OId__on(X1,X2),X2))).
% 30.88/4.37 cnf(i_0_1187, plain, (c_Relation_Otrans(c_Transitive__Closure_Ortrancl(X1,X2),X2))).
% 30.88/4.37 cnf(i_0_1162, plain, (c_Relation_Otrans(c_Relation_OId__on(X1,X2),X2))).
% 30.88/4.37 cnf(i_0_1165, plain, (c_Relation_Oantisym(c_Relation_OId__on(X1,X2),X2))).
% 30.88/4.37 cnf(i_0_989, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 30.88/4.37 cnf(i_0_947, plain, (c_in(X1,c_Set_Oinsert(X1,X2,X3),X3))).
% 30.88/4.37 cnf(i_0_1333, plain, (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_1182, plain, (c_Relation_Orefl__on(X1,c_Relation_OId__on(X1,X2),X2))).
% 30.88/4.37 cnf(i_0_1150, plain, (c_Relation_Osingle__valued(c_Relation_OId__on(X1,X2),X2,X2))).
% 30.88/4.37 cnf(i_0_847, plain, (c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1))).
% 30.88/4.37 cnf(i_0_967, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 30.88/4.37 cnf(i_0_978, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 30.88/4.37 cnf(i_0_717, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 30.88/4.37 cnf(i_0_727, plain, (hAPP(c_COMBK(X1,X2,X3),X4)=X1)).
% 30.88/4.37 cnf(i_0_872, plain, (c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1))).
% 30.88/4.37 cnf(i_0_832, plain, (c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1))).
% 30.88/4.37 cnf(i_0_1226, plain, (c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 30.88/4.37 cnf(i_0_686, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))).
% 30.88/4.37 cnf(i_0_1203, plain, (c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2)=X1)).
% 30.88/4.37 cnf(i_0_773, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_1196, plain, (c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2)=c_Relation_OId__on(X1,X2))).
% 30.88/4.37 cnf(i_0_1328, plain, (c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))).
% 30.88/4.37 cnf(i_0_1327, plain, (c_in(v_Q____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))).
% 30.88/4.37 cnf(i_0_1161, plain, (c_Relation_Osym(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1))).
% 30.88/4.37 cnf(i_0_1198, plain, (c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1))).
% 30.88/4.37 cnf(i_0_1179, plain, (c_Relation_Otrans(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2))).
% 30.88/4.37 cnf(i_0_780, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 30.88/4.37 cnf(i_0_779, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 30.88/4.37 cnf(i_0_798, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 30.88/4.37 cnf(i_0_797, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 30.88/4.37 cnf(i_0_747, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_748, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_858, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_857, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_865, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_1174, plain, (c_Relation_Osingle__valued(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1,X1))).
% 30.88/4.37 cnf(i_0_960, plain, (hAPP(c_snd(X1,X2),c_Pair(X3,X4,X1,X2))=X4)).
% 30.88/4.37 cnf(i_0_958, plain, (hAPP(c_fst(X1,X2),c_Pair(X3,X4,X1,X2))=X3)).
% 30.88/4.37 cnf(i_0_1268, plain, (c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)))).
% 30.88/4.37 cnf(i_0_763, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 30.88/4.37 cnf(i_0_843, plain, (c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1))).
% 30.88/4.37 cnf(i_0_869, plain, (c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)))).
% 30.88/4.37 cnf(i_0_1211, plain, (c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2)=c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2))).
% 30.88/4.37 cnf(i_0_1175, plain, (c_Set_Oimage(c_fst(X1,X1),c_Relation_OId__on(X2,X1),tc_prod(X1,X1),X1)=X2)).
% 30.88/4.37 cnf(i_0_912, plain, (c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_679, plain, (c_Relation_OImage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_1056, plain, (c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 30.88/4.37 cnf(i_0_1055, plain, (c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 30.88/4.37 cnf(i_0_772, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 30.88/4.37 cnf(i_0_771, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 30.88/4.37 cnf(i_0_799, plain, (c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 30.88/4.37 cnf(i_0_1058, plain, (c_Relation_OImage(c_Relation_OId__on(X1,X2),X3,X2,X2)=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)))).
% 30.88/4.37 cnf(i_0_1173, plain, (c_Relation_OImage(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X2,X1,X1)=X2)).
% 30.88/4.37 cnf(i_0_1206, 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))).
% 30.88/4.37 cnf(i_0_1225, 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))).
% 30.88/4.37 cnf(i_0_906, 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)))).
% 30.88/4.37 cnf(i_0_725, plain, (c_Pair(hAPP(c_fst(X1,X2),X3),hAPP(c_snd(X1,X2),X3),X1,X2)=X3)).
% 30.88/4.37 cnf(i_0_1164, 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)).
% 30.88/4.37 cnf(i_0_1163, 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)).
% 30.88/4.37 cnf(i_0_913, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_1118, plain, (c_Relation_Oirrefl(c_HOL_Ominus__class_Ominus(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 30.88/4.37 cnf(i_0_1142, plain, (hAPP(c_split(X1,X2,X3,X4),c_Pair(X5,X6,X2,X3))=hAPP(hAPP(X1,X5),X6))).
% 30.88/4.37 cnf(i_0_1184, 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))).
% 30.88/4.37 cnf(i_0_972, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_889, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_908, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_728, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_824, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=X1)).
% 30.88/4.37 cnf(i_0_687, 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)))).
% 30.88/4.37 cnf(i_0_688, 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)))).
% 30.88/4.37 cnf(i_0_689, plain, (c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool)))).
% 30.88/4.37 cnf(i_0_690, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_715, plain, (c_lessequals(c_Relation_OId__on(X1,X2),c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 30.88/4.37 cnf(i_0_1190, 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))).
% 30.88/4.37 cnf(i_0_1008, 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)))).
% 30.88/4.37 cnf(i_0_866, plain, (c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)=c_Set_Oinsert(X1,X2,X3))).
% 30.88/4.37 cnf(i_0_1049, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool))=c_Transitive__Closure_Ortrancl(X1,X2))).
% 30.88/4.37 cnf(i_0_1052, plain, (c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 30.88/4.37 cnf(i_0_1050, plain, (c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 30.88/4.37 cnf(i_0_680, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))).
% 30.88/4.37 cnf(i_0_1124, plain, (c_Set_Oimage(c_fst(X1,X2),c_Relation_Oconverse(X3,X2,X1),tc_prod(X1,X2),X1)=c_Set_Oimage(c_snd(X2,X1),X3,tc_prod(X2,X1),X1))).
% 30.88/4.37 cnf(i_0_1180, 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))).
% 30.88/4.37 cnf(i_0_793, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_1003, plain, (c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_736, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_916, plain, (c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)=c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 30.88/4.37 cnf(i_0_721, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 30.88/4.37 cnf(i_0_1017, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 30.88/4.37 cnf(i_0_880, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X1,X2,X3),c_Relation_Oconverse(X4,X2,X3),tc_fun(tc_prod(X3,X2),tc_bool))=c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)),X2,X3))).
% 30.88/4.37 cnf(i_0_849, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(X1,X2,X3),c_Relation_Oconverse(X4,X2,X3),tc_fun(tc_prod(X3,X2),tc_bool))=c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)),X2,X3))).
% 30.88/4.37 cnf(i_0_1081, plain, (c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(tc_prod(X1,X1),tc_bool))=c_Transitive__Closure_Ortrancl(X2,X1))).
% 30.88/4.37 cnf(i_0_1158, plain, (c_Set_Oimage(c_fst(X1,X1),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1),tc_prod(X1,X1),X1)=c_Set_Oimage(c_fst(X1,X1),X2,tc_prod(X1,X1),X1))).
% 30.88/4.37 cnf(i_0_1194, 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))).
% 30.88/4.37 cnf(i_0_683, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_682, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_707, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X2,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))=c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X1,X5,tc_fun(X3,tc_bool)),X2,X3,X4))).
% 30.88/4.37 cnf(i_0_778, plain, (c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X2,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))=c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),X2,X3,X4))).
% 30.88/4.37 cnf(i_0_874, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X2,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X1,X5,tc_fun(X3,tc_bool)),X2,X3,X4))).
% 30.88/4.37 cnf(i_0_720, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X5,X2,X3,X4),tc_fun(X4,tc_bool))=c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(X1,X5,tc_fun(tc_prod(X3,X4),tc_bool)),X2,X3,X4))).
% 30.88/4.37 cnf(i_0_803, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 30.88/4.37 cnf(i_0_712, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_1007, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_964, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_711, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_900, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_965, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_810, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_692, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 30.88/4.37 cnf(i_0_775, plain, (c_lessequals(c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 30.88/4.37 cnf(i_0_774, plain, (c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 30.88/4.37 cnf(i_0_804, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 30.88/4.37 cnf(i_0_734, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)))).
% 30.88/4.37 cnf(i_0_1002, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_1048, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))=c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2))).
% 30.88/4.37 cnf(i_0_765, plain, (c_Set_Oimage(c_fst(X1,X2),c_Set_Oinsert(c_Pair(X3,X4,X1,X2),X5,tc_prod(X1,X2)),tc_prod(X1,X2),X1)=c_Set_Oinsert(X3,c_Set_Oimage(c_fst(X1,X2),X5,tc_prod(X1,X2),X1),X1))).
% 30.88/4.37 cnf(i_0_1178, plain, (c_Set_Oimage(c_snd(X1,X1),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1),tc_prod(X1,X1),X1)=c_Set_Oimage(c_snd(X1,X1),X2,tc_prod(X1,X1),X1))).
% 30.88/4.37 cnf(i_0_891, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X1,X6,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))=c_Relation_Orel__comp(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X6,tc_fun(tc_prod(X4,X5),tc_bool)),X3,X4,X5))).
% 30.88/4.37 cnf(i_0_890, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X6,X2,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))=c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(tc_prod(X3,X4),tc_bool)),X2,X3,X4,X5))).
% 30.88/4.37 cnf(i_0_921, plain, (c_Set_Oimage(c_snd(X1,X2),c_Set_Oinsert(c_Pair(X3,X4,X1,X2),X5,tc_prod(X1,X2)),tc_prod(X1,X2),X2)=c_Set_Oinsert(X4,c_Set_Oimage(c_snd(X1,X2),X5,tc_prod(X1,X2),X2),X2))).
% 30.88/4.37 cnf(i_0_1080, plain, (c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 30.88/4.37 cnf(i_0_868, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_800, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X1,c_COMBK(c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool),X5),X5,X4),c_Set_Oinsert(c_Pair(X6,X2,X5,X4),c_Product__Type_OSigma(c_Set_Oinsert(X6,X1,X5),c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_prod(X5,X4)),tc_fun(tc_prod(X5,X4),tc_bool))=c_Product__Type_OSigma(c_Set_Oinsert(X6,X1,X5),c_COMBK(c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool),X5),X5,X4))).
% 30.88/4.37 cnf(i_0_757, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_901, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_724, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 30.88/4.37 cnf(i_0_1193, plain, (c_Relation_Oconverse(c_Relation_Oinv__image(X1,X2,X3,X4),X4,X4)=c_Relation_Oinv__image(c_Relation_Oconverse(X1,X3,X3),X2,X3,X4))).
% 30.88/4.37 cnf(i_0_846, plain, (c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)=c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))).
% 30.88/4.37 cnf(i_0_821, plain, (hAPP(c_split(X1,X2,X3,X4),X5)=hAPP(hAPP(X1,hAPP(c_fst(X2,X3),X5)),hAPP(c_snd(X2,X3),X5)))).
% 30.88/4.37 cnf(i_0_794, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 30.88/4.37 cnf(i_0_735, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 30.88/4.37 cnf(i_0_1192, 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))).
% 30.88/4.37 cnf(i_0_1220, plain, (v_b_H____!=v_a_H____)).
% 30.88/4.37 cnf(i_0_1322, plain, (v_b____!=v_a____)).
% 30.88/4.37 cnf(i_0_1247, plain, (v_a_H____!=v_b____)).
% 30.88/4.37 cnf(i_0_1248, plain, (v_b_H____!=v_a____)).
% 30.88/4.37 cnf(i_0_1336, negated_conjecture, (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_Q____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_681, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 30.88/4.37 cnf(i_0_802, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 30.88/4.37 cnf(i_0_939, plain, (~c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))).
% 30.88/4.37 cnf(i_0_1291, plain, (~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_1295, plain, (~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_956, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~c_in(X1,X2,X3))).
% 30.88/4.37 cnf(i_0_760, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Owf(X1,X2))).
% 30.88/4.37 cnf(i_0_945, plain, (~c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)|~c_in(X1,X3,X4))).
% 30.88/4.37 cnf(i_0_1356, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 30.88/4.37 cnf(i_0_994, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 30.88/4.37 cnf(i_0_1344, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 30.88/4.37 cnf(i_0_1339, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 30.88/4.37 cnf(i_0_1337, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 30.88/4.37 cnf(i_0_1342, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 30.88/4.37 cnf(i_0_1338, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 30.88/4.37 cnf(i_0_1340, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 30.88/4.37 cnf(i_0_1343, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 30.88/4.37 cnf(i_0_1278, plain, (~c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))|~c_Wellfounded_Owf(X3,X2))).
% 30.88/4.37 cnf(i_0_1323, plain, (X1=X2|c_Pair(X3,X1,X4,X5)!=c_Pair(X6,X2,X4,X5))).
% 30.88/4.37 cnf(i_0_1324, plain, (X1=X2|c_Pair(X1,X3,X4,X5)!=c_Pair(X2,X6,X4,X5))).
% 30.88/4.37 cnf(i_0_995, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 30.88/4.37 cnf(i_0_1345, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 30.88/4.37 cnf(i_0_1341, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 30.88/4.37 cnf(i_0_684, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 30.88/4.37 cnf(i_0_1261, plain, (~c_Relation_Oirrefl(X1,X2)|~c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)))).
% 30.88/4.37 cnf(i_0_807, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_in(X4,X1,X3)|~c_in(X4,X2,X3))).
% 30.88/4.37 cnf(i_0_1068, plain, (~c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3))).
% 30.88/4.37 cnf(i_0_931, plain, (c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)|~c_in(X1,X3,X4))).
% 30.88/4.37 cnf(i_0_1213, plain, (c_Relation_Osym(X1,X2)|~c_Equiv__Relations_Oequiv(X3,X1,X2))).
% 30.88/4.37 cnf(i_0_977, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 30.88/4.37 cnf(i_0_718, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 30.88/4.37 cnf(i_0_1026, plain, (~c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)|~c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 30.88/4.37 cnf(i_0_1094, plain, (~c_Wellfounded_Oacyclic(X1,X2)|~c_in(c_Pair(X3,X3,X2,X2),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),tc_prod(X2,X2)))).
% 30.88/4.37 cnf(i_0_1242, plain, (~c_in(c_Pair(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X2,X3,X4),X4,X4),X3,tc_prod(X4,X4))|~c_in(X5,X2,X4)|~c_in(X1,X2,X4)|~c_Wellfounded_Owf(X3,X4))).
% 30.88/4.37 cnf(i_0_1149, plain, (c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)|~c_Wellfounded_Owf(X2,X3))).
% 30.88/4.37 cnf(i_0_1298, plain, (X1=X2|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_1223, plain, (c_Relation_Otrans(X1,X2)|~c_Equiv__Relations_Oequiv(X3,X1,X2))).
% 30.88/4.37 cnf(i_0_1170, plain, (c_Relation_Osym(c_Transitive__Closure_Ortrancl(X1,X2),X2)|~c_Relation_Osym(X1,X2))).
% 30.88/4.37 cnf(i_0_1230, plain, (~c_in(c_Pair(X1,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X2,X3,X4),X4,X4),X3,tc_prod(X4,X4))|~c_in(X5,X2,X4)|~c_in(X1,X2,X4)|~c_Wellfounded_Owf(X3,X4))).
% 30.88/4.37 cnf(i_0_1270, plain, (~c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))|~c_Wellfounded_Owf(X4,X3))).
% 30.88/4.37 cnf(i_0_1293, plain, (X1=X2|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_1300, plain, (X1=X2|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_966, plain, (c_Relation_Otrans(X1,X2)|~c_Order__Relation_Ostrict__linear__order__on(X3,X1,X2))).
% 30.88/4.37 cnf(i_0_1053, plain, (c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(X1,X2),X2)|~c_Wellfounded_Oacyclic(X1,X2))).
% 30.88/4.37 cnf(i_0_795, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 30.88/4.37 cnf(i_0_796, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 30.88/4.37 cnf(i_0_752, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 30.88/4.37 cnf(i_0_1024, plain, (c_Relation_Oirrefl(X1,X2)|~c_Order__Relation_Ostrict__linear__order__on(X3,X1,X2))).
% 30.88/4.37 cnf(i_0_1210, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_Equiv__Relations_Oequiv(X1,X2,X3))).
% 30.88/4.37 cnf(i_0_883, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3))).
% 30.88/4.37 cnf(i_0_1127, plain, (c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))|~c_in(X1,X2,tc_prod(X3,X3)))).
% 30.88/4.37 cnf(i_0_943, plain, (X1=X2|c_in(X1,X3,X4)|~c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))).
% 30.88/4.37 cnf(i_0_1325, plain, (c_in(X1,X2,X3)|~hBOOL(hAPP(X2,X1)))).
% 30.88/4.37 cnf(i_0_769, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 30.88/4.37 cnf(i_0_755, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))).
% 30.88/4.37 cnf(i_0_751, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 30.88/4.37 cnf(i_0_756, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))).
% 30.88/4.37 cnf(i_0_851, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))).
% 30.88/4.37 cnf(i_0_855, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 30.88/4.37 cnf(i_0_850, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))).
% 30.88/4.37 cnf(i_0_856, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 30.88/4.37 cnf(i_0_815, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2))).
% 30.88/4.37 cnf(i_0_1156, plain, (c_Relation_Osym(X1,X2)|~c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2))).
% 30.88/4.37 cnf(i_0_1188, plain, (c_Relation_Otrans(X1,X2)|~c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2))).
% 30.88/4.37 cnf(i_0_1326, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,X1,X3))).
% 30.88/4.37 cnf(i_0_770, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 30.88/4.37 cnf(i_0_1023, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 30.88/4.37 cnf(i_0_1176, plain, (c_Relation_Oconverse(X1,X2,X2)=X1|~c_Relation_Osym(X1,X2))).
% 30.88/4.37 cnf(i_0_816, plain, (c_Wellfounded_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)|~c_Wellfounded_Oacyclic(X1,X2))).
% 30.88/4.37 cnf(i_0_1157, plain, (c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2)|~c_Relation_Osym(X1,X2))).
% 30.88/4.37 cnf(i_0_1189, plain, (c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2)|~c_Relation_Otrans(X1,X2))).
% 30.88/4.37 cnf(i_0_1207, plain, (c_Relation_Oantisym(X1,X2)|~c_Relation_Oantisym(c_Relation_Oconverse(X1,X2,X2),X2))).
% 30.88/4.37 cnf(i_0_1047, plain, (c_Wellfounded_Owf(X1,X2)|c_Relation_Orel__comp(X1,X1,X2,X2,X2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)))).
% 30.88/4.37 cnf(i_0_1000, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Set_Oimage(X3,X1,X2,X4)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))).
% 30.88/4.37 cnf(i_0_1292, plain, (X1=X2|c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_1299, plain, (X1=X2|c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_1177, plain, (c_Relation_Osym(X1,X2)|c_Relation_Oconverse(X1,X2,X2)!=X1)).
% 30.88/4.37 cnf(i_0_887, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 30.88/4.37 cnf(i_0_1208, plain, (c_Relation_Oantisym(c_Relation_Oconverse(X1,X2,X2),X2)|~c_Relation_Oantisym(X1,X2))).
% 30.88/4.37 cnf(i_0_1117, plain, (c_Wellfounded_OwfP(c_FunDef_Oin__rel(X1,X2,X2),X2)|~c_Wellfounded_Owf(X1,X2))).
% 30.88/4.37 cnf(i_0_1119, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(X1,X2),c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool))|~c_in(c_Pair(X3,X3,X2,X2),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),tc_prod(X2,X2)))).
% 30.88/4.37 cnf(i_0_1085, plain, (c_Wellfounded_Owf(X1,X2)|~c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2))).
% 30.88/4.37 cnf(i_0_1334, plain, (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_1335, plain, (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_745, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 30.88/4.37 cnf(i_0_886, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 30.88/4.37 cnf(i_0_759, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 30.88/4.37 cnf(i_0_758, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 30.88/4.37 cnf(i_0_902, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 30.88/4.37 cnf(i_0_1086, plain, (c_Wellfounded_Owf(X1,X2)|~c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2))).
% 30.88/4.37 cnf(i_0_744, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))).
% 30.88/4.37 cnf(i_0_826, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))).
% 30.88/4.37 cnf(i_0_1274, plain, (X1=X2|~c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3)))).
% 30.88/4.37 cnf(i_0_1289, plain, (X1=X2|X3=X2|c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_743, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 30.88/4.37 cnf(i_0_903, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 30.88/4.37 cnf(i_0_823, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 30.88/4.37 cnf(i_0_811, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 30.88/4.37 cnf(i_0_1183, plain, (c_Wellfounded_Owf(c_Relation_Oinv__image(X1,X2,X3,X4),X4)|~c_Wellfounded_Owf(X1,X3))).
% 30.88/4.37 cnf(i_0_1185, plain, (c_Relation_Osym(c_Relation_Oinv__image(X1,X2,X3,X4),X4)|~c_Relation_Osym(X1,X3))).
% 30.88/4.37 cnf(i_0_1195, plain, (c_Relation_Otrans(c_Relation_Oinv__image(X1,X2,X3,X4),X4)|~c_Relation_Otrans(X1,X3))).
% 30.88/4.37 cnf(i_0_708, plain, (X1=X2|~c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))).
% 30.88/4.37 cnf(i_0_1172, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X2))).
% 30.88/4.37 cnf(i_0_919, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 30.88/4.37 cnf(i_0_1297, plain, (X1=X2|X3=X2|c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_1296, plain, (X1=X2|X2=X3|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X4,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 30.88/4.37 cnf(i_0_827, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 31.06/4.37 cnf(i_0_825, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 31.06/4.37 cnf(i_0_1171, plain, (c_Wellfounded_Owf(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X2)|~c_Wellfounded_Owf(X1,X2))).
% 31.06/4.37 cnf(i_0_920, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))).
% 31.06/4.37 cnf(i_0_1168, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3))).
% 31.06/4.37 cnf(i_0_1221, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3))).
% 31.06/4.37 cnf(i_0_1288, plain, (X1=X2|X1=X3|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X4,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 31.06/4.37 cnf(i_0_1308, plain, (c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId__on(X3,X2),tc_prod(X2,X2))|~c_in(X1,X3,X2))).
% 31.06/4.37 cnf(i_0_1071, plain, (c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3)|~c_Relation_Oirrefl(X2,X3)|~c_Relation_Ototal__on(X1,X2,X3)|~c_Relation_Otrans(X2,X3))).
% 31.06/4.37 cnf(i_0_732, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X3,X3,X4)!=c_HOL_Ominus__class_Ominus(X1,X2,X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 31.06/4.37 cnf(i_0_1169, plain, (c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)|~c_Relation_Orefl__on(X1,X2,X3))).
% 31.06/4.37 cnf(i_0_1222, plain, (c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)|~c_Relation_Ototal__on(X1,X2,X3))).
% 31.06/4.37 cnf(i_0_875, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 31.06/4.37 cnf(i_0_830, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)).
% 31.06/4.37 cnf(i_0_840, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 31.06/4.37 cnf(i_0_819, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 31.06/4.37 cnf(i_0_1307, plain, (c_in(X1,X2,X3)|~c_in(c_Pair(X1,X4,X3,X3),c_Relation_OId__on(X2,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1200, plain, (c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X1,X2,X3),X1,X3)|~c_in(X4,X1,X3)|~c_Wellfounded_Owf(X2,X3))).
% 31.06/4.37 cnf(i_0_970, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olattice(X3))).
% 31.06/4.37 cnf(i_0_971, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 31.06/4.37 cnf(i_0_909, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 31.06/4.37 cnf(i_0_910, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Olattice(X3))).
% 31.06/4.37 cnf(i_0_975, plain, (c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(X2,X3))).
% 31.06/4.37 cnf(i_0_974, plain, (c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(X1,X3))).
% 31.06/4.37 cnf(i_0_873, plain, (c_in(X1,X2,X3)|~c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_950, plain, (c_in(X1,X2,X3)|~c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3))).
% 31.06/4.37 cnf(i_0_1212, plain, (c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X1,X2,X3),X1,X3)|~c_in(X4,X1,X3)|~c_Wellfounded_Owf(X2,X3))).
% 31.06/4.37 cnf(i_0_1147, plain, (c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)|~c_in(X2,X3,X4))).
% 31.06/4.37 cnf(i_0_1277, plain, (c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))|~c_Nitpick_Orefl_H(X3,X2))).
% 31.06/4.37 cnf(i_0_884, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 31.06/4.37 cnf(i_0_1153, plain, (c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2)=X1|~c_Relation_Otrans(X1,X2))).
% 31.06/4.37 cnf(i_0_1191, plain, (c_Wellfounded_Owf(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)|~c_Wellfounded_Owf(X1,X2))).
% 31.06/4.37 cnf(i_0_1151, plain, (c_Relation_Osym(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)|~c_Relation_Osym(X1,X2))).
% 31.06/4.37 cnf(i_0_1075, plain, (c_Relation_Oirrefl(X1,X2)|c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(X1,X2),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(X1,X2),X2,X2),X1,tc_prod(X2,X2)))).
% 31.06/4.37 cnf(i_0_951, plain, (c_in(X1,X2,X3)|~c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))).
% 31.06/4.37 cnf(i_0_946, plain, (c_in(X1,X2,X3)|~c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))).
% 31.06/4.37 cnf(i_0_817, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1064, plain, (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P_H____(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 31.06/4.37 cnf(i_0_885, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 31.06/4.37 cnf(i_0_938, plain, (c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)|~c_in(X1,X3,X4))).
% 31.06/4.37 cnf(i_0_937, plain, (c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)|~c_in(X1,X2,X4))).
% 31.06/4.37 cnf(i_0_895, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))).
% 31.06/4.37 cnf(i_0_1160, plain, (c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)|~c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X2,X1,X3),c_Wellfounded_Oacc(X2,X3),X3))).
% 31.06/4.37 cnf(i_0_1065, plain, (c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P_H____(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 31.06/4.37 cnf(i_0_784, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 31.06/4.37 cnf(i_0_785, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 31.06/4.37 cnf(i_0_894, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))).
% 31.06/4.37 cnf(i_0_979, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3))).
% 31.06/4.37 cnf(i_0_1214, plain, (c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)|~c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X1,X3),c_Wellfounded_Oacc(X2,X3),X3))).
% 31.06/4.37 cnf(i_0_955, plain, (X1=X2|c_in(X3,X1,X4)|c_in(X3,X2,X4)|c_Set_Oinsert(X3,X1,X4)!=c_Set_Oinsert(X3,X2,X4))).
% 31.06/4.37 cnf(i_0_742, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_992, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 31.06/4.37 cnf(i_0_1227, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))|c_in(X2,c_Wellfounded_Oacc(X1,X3),X3))).
% 31.06/4.37 cnf(i_0_1232, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))|c_in(X2,c_Wellfounded_Oacc(X1,X3),X3))).
% 31.06/4.37 cnf(i_0_980, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3))).
% 31.06/4.37 cnf(i_0_1316, plain, (c_in(X1,X2,X3)|~c_in(c_Pair(X1,X4,X3,X5),c_Product__Type_OSigma(X2,X6,X3,X5),tc_prod(X3,X5)))).
% 31.06/4.37 cnf(i_0_1258, plain, (c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))|~c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)))).
% 31.06/4.37 cnf(i_0_741, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_790, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 31.06/4.37 cnf(i_0_791, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4))).
% 31.06/4.37 cnf(i_0_738, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4))).
% 31.06/4.37 cnf(i_0_739, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 31.06/4.37 cnf(i_0_789, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 31.06/4.37 cnf(i_0_792, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olower__semilattice(X3))).
% 31.06/4.37 cnf(i_0_737, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 31.06/4.37 cnf(i_0_764, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 31.06/4.37 cnf(i_0_693, plain, (X1=X2|hAPP(c_snd(X3,X4),X1)!=hAPP(c_snd(X3,X4),X2)|hAPP(c_fst(X3,X4),X1)!=hAPP(c_fst(X3,X4),X2))).
% 31.06/4.37 cnf(i_0_1260, plain, (c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))|~c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)))).
% 31.06/4.37 cnf(i_0_828, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_829, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_740, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 31.06/4.37 cnf(i_0_1054, plain, (c_lessequals(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X1,tc_fun(tc_prod(X2,X2),tc_bool))|~c_Relation_Otrans(X1,X2))).
% 31.06/4.37 cnf(i_0_1205, plain, (c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2)=X1|~c_Equiv__Relations_Oequiv(X3,X1,X2))).
% 31.06/4.37 cnf(i_0_981, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X3,X4))).
% 31.06/4.37 cnf(i_0_982, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X2,X4))).
% 31.06/4.37 cnf(i_0_897, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))).
% 31.06/4.37 cnf(i_0_896, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))).
% 31.06/4.37 cnf(i_0_881, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))|c_in(X2,X1,X4))).
% 31.06/4.37 cnf(i_0_867, plain, (X1=X2|c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)!=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))).
% 31.06/4.37 cnf(i_0_698, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_801, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_Wellfounded_Owf(X3,X2)|~c_lessequals(X1,c_Relation_OImage(X3,X1,X2,X2),tc_fun(X2,tc_bool)))).
% 31.06/4.37 cnf(i_0_1315, plain, (c_in(X1,hAPP(X2,X3),X4)|~c_in(c_Pair(X3,X1,X5,X4),c_Product__Type_OSigma(X6,X2,X5,X4),tc_prod(X5,X4)))).
% 31.06/4.37 cnf(i_0_1084, plain, (c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X1,X3)|~c_in(X2,c_Relation_OId__on(X1,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_993, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X3,X2)|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 31.06/4.37 cnf(i_0_987, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 31.06/4.37 cnf(i_0_882, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))|c_in(X1,X4,X3))).
% 31.06/4.37 cnf(i_0_923, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))=X2|c_in(X1,X2,X3))).
% 31.06/4.37 cnf(i_0_1038, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2))).
% 31.06/4.37 cnf(i_0_927, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2))).
% 31.06/4.37 cnf(i_0_1011, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))).
% 31.06/4.37 cnf(i_0_1233, plain, (c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)|~c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))|~c_in(X4,c_Wellfounded_Oacc(X2,X3),X3))).
% 31.06/4.37 cnf(i_0_998, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(X3,X2)|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 31.06/4.37 cnf(i_0_988, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 31.06/4.37 cnf(i_0_953, plain, (c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)|c_in(X1,X3,X4)|~c_in(X1,X2,X4))).
% 31.06/4.37 cnf(i_0_697, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 31.06/4.37 cnf(i_0_805, plain, (c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)|X4=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_892, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_893, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1128, plain, (c_in(X1,c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(X1,X2,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1083, plain, (c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X3,X3)=X2|~c_in(X2,c_Relation_OId__on(X1,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_996, plain, (c_Relation_Oantisym(X1,X2)|~c_Relation_Oantisym(X3,X2)|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 31.06/4.37 cnf(i_0_928, plain, (c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)|~class_HOL_Oord(X4)|~c_lessequals(X1,X3,tc_fun(X5,X4)))).
% 31.06/4.37 cnf(i_0_713, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))).
% 31.06/4.37 cnf(i_0_963, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))).
% 31.06/4.37 cnf(i_0_714, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))).
% 31.06/4.37 cnf(i_0_862, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))).
% 31.06/4.37 cnf(i_0_922, plain, (c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Osym(X2,X3)|~c_Relation_Osym(X1,X3))).
% 31.06/4.37 cnf(i_0_766, plain, (c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Osym(X2,X3)|~c_Relation_Osym(X1,X3))).
% 31.06/4.37 cnf(i_0_986, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_985, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_783, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 31.06/4.37 cnf(i_0_1301, plain, (c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))|~c_in(X2,hAPP(X6,X1),X4)|~c_in(X1,X5,X3))).
% 31.06/4.37 cnf(i_0_933, plain, (c_in(X1,X2,X3)|~c_in(X1,X4,X3)|~c_lessequals(X4,X2,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_709, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool))=X1|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_808, plain, (c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Otrans(X2,X3)|~c_Relation_Otrans(X1,X3))).
% 31.06/4.37 cnf(i_0_917, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)|c_in(X1,X4,X3))).
% 31.06/4.37 cnf(i_0_1072, plain, (c_Nitpick_Orefl_H(X1,X2)|~c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),X2,X2),X1,tc_prod(X2,X2)))).
% 31.06/4.37 cnf(i_0_776, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))!=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1070, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))|~c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5))).
% 31.06/4.37 cnf(i_0_1244, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))|~c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5))).
% 31.06/4.37 cnf(i_0_809, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)|~class_Lattices_Olattice(X4))).
% 31.06/4.37 cnf(i_0_863, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)|~class_Lattices_Olattice(X3))).
% 31.06/4.37 cnf(i_0_1057, plain, (c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)|~c_Relation_Otrans(X1,X2))).
% 31.06/4.37 cnf(i_0_1060, plain, (c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)|~c_Relation_Oantisym(X1,X2))).
% 31.06/4.37 cnf(i_0_699, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))|~c_in(X1,X4,X3))).
% 31.06/4.37 cnf(i_0_705, plain, (c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)|~c_in(X5,X4,X3))).
% 31.06/4.37 cnf(i_0_1033, plain, (c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)=c_Set_Oimage(X1,X3,X4,X5)|~c_in(X2,X3,X4))).
% 31.06/4.37 cnf(i_0_1059, plain, (c_Relation_Oantisym(X1,X2)|~c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 31.06/4.37 cnf(i_0_864, plain, (c_Transitive__Closure_Ortrancl(X1,X2)=c_Transitive__Closure_Ortrancl(X3,X2)|~c_lessequals(X1,c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 31.06/4.37 cnf(i_0_1276, plain, (X1=X2|~c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_bool)),X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1106, plain, (X1=X2|c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(X3,X1,X2,X4),X4,X4),X3,tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1104, plain, (X1=X2|c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(X1,X2,X3,X4),X2,X4,X4),X3,tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1154, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a)|~hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X3))))).
% 31.06/4.37 cnf(i_0_1077, plain, (c_lessequals(X1,c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_Relation_Orefl__on(X3,X1,X2))).
% 31.06/4.37 cnf(i_0_1015, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_695, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Owf(X3,X4)|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(X1,X3,X4))))).
% 31.06/4.37 cnf(i_0_722, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Owf(X3,X4)|~hBOOL(hAPP(X1,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(X1,X3,X4))))).
% 31.06/4.37 cnf(i_0_814, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Owf(X3,X4)|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(X1,X3,X4))))).
% 31.06/4.37 cnf(i_0_915, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Owf(X3,X4)|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(X1,X3,X4))))).
% 31.06/4.37 cnf(i_0_944, plain, (c_in(X1,X2,X3)|c_in(X1,X4,X3)|~c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3))).
% 31.06/4.37 cnf(i_0_877, plain, (c_in(X1,X2,X3)|c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1318, plain, (c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))|~c_Relation_Orefl__on(X4,X3,X2)|~c_in(X1,X4,X2))).
% 31.06/4.37 cnf(i_0_929, plain, (c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)|~c_in(X1,X3,X4)|~c_in(X1,X2,X4))).
% 31.06/4.37 cnf(i_0_1209, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a)|~hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X3))))).
% 31.06/4.37 cnf(i_0_716, plain, (c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))|~c_Relation_Orefl__on(X2,X1,X3))).
% 31.06/4.37 cnf(i_0_1022, plain, (c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))|~c_Equiv__Relations_Oequiv(X2,X1,X3))).
% 31.06/4.37 cnf(i_0_1224, plain, (c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X2,X3),c_Wellfounded_Oacc(X2,X3),X3)|hBOOL(hAPP(X1,X4))|~c_in(X4,c_Wellfounded_Oacc(X2,X3),X3))).
% 31.06/4.37 cnf(i_0_1155, plain, (c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X2,X3),c_Wellfounded_Oacc(X2,X3),X3)|hBOOL(hAPP(X1,X4))|~c_in(X4,c_Wellfounded_Oacc(X2,X3),X3))).
% 31.06/4.37 cnf(i_0_1061, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Relation_Ototal__on(X1,c_HOL_Ominus__class_Ominus(X2,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_bool)),X3),tc_fun(tc_prod(X3,X3),tc_bool)),X3))).
% 31.06/4.37 cnf(i_0_925, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 31.06/4.37 cnf(i_0_1319, plain, (c_in(X1,X2,X3)|~c_Relation_Orefl__on(X2,X4,X3)|~c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1320, plain, (c_in(X1,X2,X3)|~c_Relation_Orefl__on(X2,X4,X3)|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_991, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1166, plain, (c_Wellfounded_Owf(c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2),X2)|~c_Wellfounded_Owf(c_Relation_Oconverse(X1,X2,X2),X2))).
% 31.06/4.37 cnf(i_0_1009, plain, (hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(X1,X4)))).
% 31.06/4.37 cnf(i_0_1202, plain, (c_Relation_Osingle__valued(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X3,X5)|~c_Relation_Osingle__valued(X2,X4,X5)|~c_Relation_Osingle__valued(X1,X3,X4))).
% 31.06/4.37 cnf(i_0_1039, plain, (c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X2,X3,X4,X5),X1,X4)|~c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5))).
% 31.06/4.37 cnf(i_0_1159, plain, (c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X2,X3,X4,X5),X1,X4)|~c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5))).
% 31.06/4.37 cnf(i_0_837, plain, (X1=X2|X1=X3|c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)!=c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5))).
% 31.06/4.37 cnf(i_0_1309, plain, (c_in(X1,X2,X3)|~c_Equiv__Relations_Oequiv(X2,X4,X3)|~c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1310, plain, (c_in(X1,X2,X3)|~c_Equiv__Relations_Oequiv(X2,X4,X3)|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_852, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4)|~c_lessequals(X1,X3,X4)|~c_lessequals(X1,X2,X4))).
% 31.06/4.37 cnf(i_0_907, plain, (c_lessequals(c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X3,X2),tc_fun(X2,tc_bool))|~c_lessequals(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 31.06/4.37 cnf(i_0_1062, plain, (c_Relation_Ototal__on(X1,c_HOL_Ominus__class_Ominus(X2,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_bool)),X3),tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Ototal__on(X1,X2,X3))).
% 31.06/4.37 cnf(i_0_835, plain, (X1=X2|X3=X2|c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)!=c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))).
% 31.06/4.37 cnf(i_0_1006, plain, (X1=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)|X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1305, plain, (c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)|~c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))|~c_in(X6,X3,X4))).
% 31.06/4.37 cnf(i_0_1014, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_782, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(X2,X3)|~c_Wellfounded_Owf(X1,X3)|~c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X3,X3),X1,tc_fun(tc_prod(X3,X3),tc_bool)))).
% 31.06/4.37 cnf(i_0_702, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_in(X2,X1,X4)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 31.06/4.37 cnf(i_0_1134, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3))|~c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1135, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_750, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3))).
% 31.06/4.37 cnf(i_0_845, plain, (c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool))|~c_in(X1,X2,X4))).
% 31.06/4.37 cnf(i_0_844, plain, (c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X4),X3,tc_fun(X4,tc_bool))|~c_in(X1,X3,X4))).
% 31.06/4.37 cnf(i_0_1271, plain, (X1=X2|~c_Relation_Oantisym(X3,X4)|~c_in(c_Pair(X2,X1,X4,X4),X3,tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),X3,tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1116, plain, (c_in(c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1(X1,X2,X3,X4,X5),X1,X4)|~c_in(X3,c_Product__Type_OSigma(X1,X2,X4,X5),tc_prod(X4,X5)))).
% 31.06/4.37 cnf(i_0_1252, plain, (hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6)=hAPP(X1,X6)|~c_in(c_Pair(X6,X3,X4,X4),X2,tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_999, plain, (c_Relation_Osingle__valued(X1,X2,X3)|~c_Relation_Osingle__valued(X4,X2,X3)|~c_lessequals(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)))).
% 31.06/4.37 cnf(i_0_767, plain, (c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 31.06/4.37 cnf(i_0_1035, plain, (c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))|~c_in(X2,c_Relation_OImage(X5,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X4),X4))).
% 31.06/4.37 cnf(i_0_1037, 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)|~c_in(X6,X3,X4))).
% 31.06/4.37 cnf(i_0_1137, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1113, plain, (X1=X2|c_in(c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X1,X2,X3),X2,t_a,t_a),X3,tc_prod(t_a,t_a))|~c_in(c_Pair(X1,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(X3,t_a),tc_prod(t_a,t_a)))).
% 31.06/4.37 cnf(i_0_1063, plain, (c_lessequals(c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2),X1,tc_fun(tc_prod(X2,X2),tc_bool))|~c_Relation_Otrans(X1,X2)|~c_Relation_Osym(X1,X2))).
% 31.06/4.37 cnf(i_0_1255, plain, (c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))|~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X5,X3,X4),X1),X2)))).
% 31.06/4.37 cnf(i_0_1082, plain, (c_Recdef_Ocut(X1,X2,X3,X4,X5)=c_Recdef_Ocut(X6,X2,X3,X4,X5)|c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5),X3,X4,X4),X2,tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1030, plain, (c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X1,X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 31.06/4.37 cnf(i_0_701, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_in(X4,X5,X6)|~c_lessequals(c_Product__Type_OSigma(X1,c_COMBK(X5,tc_fun(X6,tc_bool),X3),X3,X6),c_Product__Type_OSigma(X2,c_COMBK(X5,tc_fun(X6,tc_bool),X3),X3,X6),tc_fun(tc_prod(X3,X6),tc_bool)))).
% 31.06/4.37 cnf(i_0_1152, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,c_Wellfounded_Oacc(X3,X4),X4)|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4))))).
% 31.06/4.37 cnf(i_0_1313, plain, (c_in(X1,c_Set_Oimage(c_fst(X2,X3),X4,tc_prod(X2,X3),X2),X2)|~c_in(c_Pair(X1,X5,X2,X3),X4,tc_prod(X2,X3)))).
% 31.06/4.37 cnf(i_0_968, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))|~c_in(X1,X4,X3)|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_839, plain, (c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X1,c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 31.06/4.37 cnf(i_0_1073, plain, (c_Relation_Otrans(c_HOL_Ominus__class_Ominus(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)|~c_Relation_Oantisym(X1,X2)|~c_Relation_Otrans(X1,X2))).
% 31.06/4.37 cnf(i_0_1254, plain, (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X3),X4),X5))|~c_in(c_Pair(X4,X5,X2,X3),X1,tc_prod(X2,X3)))).
% 31.06/4.37 cnf(i_0_1069, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)|~c_Wellfounded_Owf(X4,X3))).
% 31.06/4.37 cnf(i_0_1025, plain, (c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)|c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_Wellfounded_Oacyclic(X4,X3))).
% 31.06/4.37 cnf(i_0_1029, plain, (c_in(X1,c_Relation_OImage(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),X3)|~c_Equiv__Relations_Oequiv(X4,X2,X3)|~c_in(X1,X4,X3))).
% 31.06/4.37 cnf(i_0_1167, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,c_Wellfounded_Oacc(X3,X4),X4)|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4))))).
% 31.06/4.37 cnf(i_0_1041, plain, (c_in(X1,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X4),tc_bool)),X4),tc_prod(X4,X4))|~c_in(X1,c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_926, plain, (c_Recdef_Ocut(X1,X2,X3,X4,X5)=c_Recdef_Ocut(X6,X2,X3,X4,X5)|hAPP(X1,c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5))!=hAPP(X6,c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5)))).
% 31.06/4.37 cnf(i_0_786, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(c_fst(X3,X3),X1,tc_prod(X3,X3),X3),c_Set_Oimage(c_snd(X3,X3),X2,tc_prod(X3,X3),X3),tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_Wellfounded_Owf(X2,X3)|~c_Wellfounded_Owf(X1,X3))).
% 31.06/4.37 cnf(i_0_1303, plain, (c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)|~c_in(c_Pair(X1,X4,X3,X3),X2,tc_prod(X3,X3))|~c_in(X4,c_Wellfounded_Oacc(X2,X3),X3))).
% 31.06/4.37 cnf(i_0_1111, plain, (X1=X2|c_in(c_Pair(X1,v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X1,X2,X3),t_a,t_a),c_Transitive__Closure_Ortrancl(X3,t_a),tc_prod(t_a,t_a))|~c_in(c_Pair(X1,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(X3,t_a),tc_prod(t_a,t_a)))).
% 31.06/4.37 cnf(i_0_859, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 31.06/4.37 cnf(i_0_1040, plain, (c_in(X1,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X4),tc_bool)),X4),tc_prod(X4,X4))|~c_in(X1,c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_831, plain, (c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Orefl__on(X2,X5,X3)|~c_Relation_Orefl__on(X1,X4,X3))).
% 31.06/4.37 cnf(i_0_788, plain, (c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Orefl__on(X2,X5,X3)|~c_Relation_Orefl__on(X1,X4,X3))).
% 31.06/4.37 cnf(i_0_924, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1046, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X1,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),X3))).
% 31.06/4.37 cnf(i_0_1251, plain, (X1=X2|~c_Relation_Osingle__valued(X3,X4,X5)|~c_in(c_Pair(X6,X2,X4,X5),X3,tc_prod(X4,X5))|~c_in(c_Pair(X6,X1,X4,X5),X3,tc_prod(X4,X5)))).
% 31.06/4.37 cnf(i_0_1103, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))|~c_Wellfounded_Owf(X4,X5))).
% 31.06/4.37 cnf(i_0_1115, plain, (X1=X2|c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(X1,X2,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1105, plain, (X1=X2|c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(X3,X1,X2,X4),X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1281, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_Relation_Osym(X4,X3)|~c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1036, plain, (c_in(X1,c_Relation_OImage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4,X5),X5)|~c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5)))).
% 31.06/4.37 cnf(i_0_1197, plain, (c_Equiv__Relations_Oequiv(c_Set_Oimage(c_fst(X1,X1),X2,tc_prod(X1,X1),X1),X2,X1)|c_Relation_Orel__comp(c_Relation_Oconverse(X2,X1,X1),X2,X1,X1,X1)!=X2)).
% 31.06/4.37 cnf(i_0_1034, plain, (c_in(hAPP(X1,X2),X3,X4)|~c_in(X2,X5,X6)|~c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)))).
% 31.06/4.37 cnf(i_0_777, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 31.06/4.37 cnf(i_0_1311, plain, (c_in(X1,c_Set_Oimage(c_snd(X2,X3),X4,tc_prod(X2,X3),X3),X3)|~c_in(c_Pair(X5,X1,X2,X3),X4,tc_prod(X2,X3)))).
% 31.06/4.37 cnf(i_0_746, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1102, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))|~c_Wellfounded_Owf(X4,X5))).
% 31.06/4.37 cnf(i_0_1101, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))|~c_Wellfounded_Owf(X4,X5))).
% 31.06/4.37 cnf(i_0_1100, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))|~c_Wellfounded_Owf(X4,X5))).
% 31.06/4.37 cnf(i_0_1132, plain, (X1=X2|c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1237, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))|~c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a))).
% 31.06/4.37 cnf(i_0_1010, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X3|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 31.06/4.37 cnf(i_0_1087, plain, (c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),X2,X2)=X1|~c_in(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_prod(X2,X2)))).
% 31.06/4.37 cnf(i_0_1273, plain, (hAPP(X1,X2)=hAPP(X1,X3)|~c_Equiv__Relations_Ocongruent(X4,X1,X5,X6)|~c_in(c_Pair(X2,X3,X5,X5),X4,tc_prod(X5,X5)))).
% 31.06/4.37 cnf(i_0_1215, plain, (c_Equiv__Relations_Ocongruent(X1,hAPP(X2,X3),X4,X5)|~c_Equiv__Relations_Ocongruent2(X6,X1,X2,X7,X4,X5)|~c_Equiv__Relations_Oequiv(X8,X6,X7)|~c_in(X3,X8,X7))).
% 31.06/4.37 cnf(i_0_1238, plain, (c_in(hAPP(hAPP(X1,X2),X3),c_Set_Oimage(c_split(X1,X4,X5,X6),X7,tc_prod(X4,X5),X6),X6)|~c_in(c_Pair(X2,X3,X4,X5),X7,tc_prod(X4,X5)))).
% 31.06/4.37 cnf(i_0_1239, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))|~c_in(X1,c_Set_Oimage(c_fst(X3,X4),X2,tc_prod(X3,X4),X3),X3))).
% 31.06/4.37 cnf(i_0_1229, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))|~c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a))).
% 31.06/4.37 cnf(i_0_1330, plain, (c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X4,v_sko__CHAINED__1(X1,X2,X4,X3)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X3,v_sko__CHAINED__1(X1,X2,X4,X3)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(X3,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 31.06/4.37 cnf(i_0_1329, plain, (c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X4,v_sko__CHAINED__1(X1,X2,X3,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X3,v_sko__CHAINED__1(X1,X2,X3,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(X3,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 31.06/4.37 cnf(i_0_1245, plain, (X1=X2|c_in(X1,c_Set_Oimage(c_fst(X3,X3),X4,tc_prod(X3,X3),X3),X3)|~c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1235, plain, (c_in(X1,c_Wellfounded_Oacc(X2,t_a),t_a)|hBOOL(hAPP(X3,X4))|~c_in(c_Pair(X1,v_sko__Wellfounded__Xacc__Xinducts__1(X3,X2),t_a,t_a),X2,tc_prod(t_a,t_a))|~c_in(X4,c_Wellfounded_Oacc(X2,t_a),t_a))).
% 31.06/4.37 cnf(i_0_1001, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1243, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))|~c_in(X1,c_Set_Oimage(c_fst(X3,X4),X2,tc_prod(X3,X4),X3),X3))).
% 31.06/4.37 cnf(i_0_1074, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),X3,X4)|~c_Relation_Osingle__valued(c_Relation_Oconverse(X1,X3,X4),X4,X3))).
% 31.06/4.37 cnf(i_0_806, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X5,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_848, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1090, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X1,X2),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X1,X2),X2,X2),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),tc_prod(X2,X2))|~c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)))).
% 31.06/4.37 cnf(i_0_1031, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_Equiv__Relations_Oequiv(X5,X4,X3)|~c_in(X6,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool)),X3))).
% 31.06/4.37 cnf(i_0_1114, plain, (hBOOL(hAPP(X1,X2))|~c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Ortrancl(X5,X4),tc_prod(X4,X4))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(X1,X3,X5,X4)))|~hBOOL(hAPP(X1,X3)))).
% 31.06/4.37 cnf(i_0_1110, plain, (hBOOL(hAPP(X1,X2))|~c_in(c_Pair(X3,X2,X4,X4),c_Transitive__Closure_Ortrancl(X5,X4),tc_prod(X4,X4))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(X1,X3,X5,X4)))|~hBOOL(hAPP(X1,X3)))).
% 31.06/4.37 cnf(i_0_1279, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oinv__image(X4,X5,X6,X3),tc_prod(X3,X3))|~c_in(c_Pair(hAPP(X5,X1),hAPP(X5,X2),X6,X6),X4,tc_prod(X6,X6)))).
% 31.06/4.37 cnf(i_0_1280, plain, (c_in(c_Pair(hAPP(X1,X2),hAPP(X1,X3),X4,X4),X5,tc_prod(X4,X4))|~c_in(c_Pair(X2,X3,X6,X6),c_Relation_Oinv__image(X5,X1,X4,X6),tc_prod(X6,X6)))).
% 31.06/4.37 cnf(i_0_1240, plain, (c_in(X1,c_Wellfounded_Oacc(X2,t_a),t_a)|hBOOL(hAPP(X3,X4))|~c_in(c_Pair(X1,v_sko__Wellfounded__Xacc__Xinduct__1(X3,X2),t_a,t_a),X2,tc_prod(t_a,t_a))|~c_in(X4,c_Wellfounded_Oacc(X2,t_a),t_a))).
% 31.06/4.37 cnf(i_0_704, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_in(X2,X1,X3)|~c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1021, plain, (c_lessequals(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X5,X6,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X5,tc_fun(tc_prod(X3,X4),tc_bool))|~c_lessequals(X2,X6,tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_1231, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))|~c_in(X1,c_Set_Oimage(c_snd(X4,X3),X2,tc_prod(X4,X3),X3),X3))).
% 31.06/4.37 cnf(i_0_1246, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))|~c_in(X1,c_Set_Oimage(c_snd(X4,X3),X2,tc_prod(X4,X3),X3),X3))).
% 31.06/4.37 cnf(i_0_1107, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X1,X2,X3,X4)))|hBOOL(hAPP(X1,X5))|~c_in(c_Pair(X5,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))|~hBOOL(hAPP(X1,X2)))).
% 31.06/4.37 cnf(i_0_1032, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_Equiv__Relations_Oequiv(X5,X4,X3)|~c_in(X2,X5,X3)|~c_lessequals(c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool)))).
% 31.06/4.37 cnf(i_0_706, plain, (c_lessequals(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X1,X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 31.06/4.37 cnf(i_0_1241, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))|~c_in(X2,c_Wellfounded_Oacc(X4,X5),X5))).
% 31.06/4.37 cnf(i_0_1256, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_Relation_Otrans(X4,X3)|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1099, plain, (c_in(c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(X1,X2,X3),X2,t_a,t_a),X3,tc_prod(t_a,t_a))|c_in(c_Pair(X1,X2,t_a,t_a),X3,tc_prod(t_a,t_a))|~c_in(c_Pair(X1,X2,t_a,t_a),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,t_a),t_a,t_a,t_a),tc_prod(t_a,t_a)))).
% 31.06/4.37 cnf(i_0_1317, plain, (X1=X2|c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))|~c_Relation_Ototal__on(X5,X4,X3)|~c_in(X2,X5,X3)|~c_in(X1,X5,X3))).
% 31.06/4.37 cnf(i_0_1112, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X1,X2,X3,X4)))|hBOOL(hAPP(X1,X5))|~c_in(c_Pair(X2,X5,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))|~hBOOL(hAPP(X1,X2)))).
% 31.06/4.37 cnf(i_0_730, plain, (c_lessequals(c_Relation_OImage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))|~c_lessequals(X1,c_Product__Type_OSigma(X6,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(tc_prod(X3,X4),tc_bool)))).
% 31.06/4.37 cnf(i_0_700, plain, (c_lessequals(c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3),c_Product__Type_OSigma(X5,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3),tc_fun(tc_prod(X4,X3),tc_bool))|~c_in(X6,X2,X3)|~c_lessequals(X1,X5,tc_fun(X4,tc_bool)))).
% 31.06/4.37 cnf(i_0_1228, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))|~c_in(X2,c_Wellfounded_Oacc(X4,X5),X5))).
% 31.06/4.37 cnf(i_0_1045, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_prod(X3,X3),tc_bool)),X2,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_prod(X3,X3),tc_bool)),X3))).
% 31.06/4.37 cnf(i_0_1089, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X1,X2,X3,X4,X5,X6,X7),X5,X7),X3,tc_prod(X5,X7))|~c_in(c_Pair(X1,X2,X5,X6),c_Relation_Orel__comp(X3,X4,X5,X7,X6),tc_prod(X5,X6)))).
% 31.06/4.37 cnf(i_0_1088, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X1,X2,X3,X4,X5,X6,X7),X2,X7,X6),X4,tc_prod(X7,X6))|~c_in(c_Pair(X1,X2,X5,X6),c_Relation_Orel__comp(X3,X4,X5,X7,X6),tc_prod(X5,X6)))).
% 31.06/4.37 cnf(i_0_1125, plain, (X1=X2|c_in(X1,X3,X4)|~c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X5,X4),tc_prod(X4,X4))|~c_lessequals(X5,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X4,tc_bool),X4),X4,X4),tc_fun(tc_prod(X4,X4),tc_bool)))).
% 31.06/4.37 cnf(i_0_1275, plain, (hAPP(X1,X2)=hAPP(X3,X2)|c_Recdef_Ocut(X1,X4,X5,X6,X7)!=c_Recdef_Ocut(X3,X4,X5,X6,X7)|~c_in(c_Pair(X2,X5,X6,X6),X4,tc_prod(X6,X6)))).
% 31.06/4.37 cnf(i_0_1283, plain, (c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X3,X7,X4),tc_prod(X3,X4))|~c_in(c_Pair(X8,X2,X7,X4),X6,tc_prod(X7,X4))|~c_in(c_Pair(X1,X8,X3,X7),X5,tc_prod(X3,X7)))).
% 31.06/4.37 cnf(i_0_1264, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1093, plain, (c_in(c_Pair(X1,v_sko__Transitive__Closure__Xtrancl__Xcases__1(X1,X2,X3),t_a,t_a),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,t_a),t_a,t_a,t_a),tc_prod(t_a,t_a))|c_in(c_Pair(X1,X2,t_a,t_a),X3,tc_prod(t_a,t_a))|~c_in(c_Pair(X1,X2,t_a,t_a),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,t_a),t_a,t_a,t_a),tc_prod(t_a,t_a)))).
% 31.06/4.37 cnf(i_0_1043, plain, (c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)=c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)|~c_Equiv__Relations_Oequiv(X5,X1,X3)|~c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1092, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))|~c_in(c_Pair(X1,X3,X4,X4),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1097, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X1,X2,X3,X4),X3,X4,X4),X1,tc_prod(X4,X4))|~c_in(c_Pair(X2,X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_719, plain, (c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X6,X7,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))|~c_lessequals(X2,X7,tc_fun(tc_prod(X4,X5),tc_bool))|~c_lessequals(X1,X6,tc_fun(tc_prod(X3,X4),tc_bool)))).
% 31.06/4.37 cnf(i_0_1066, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X2,X1,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))|~c_in(c_Pair(X1,X3,X4,X4),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1067, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4))|~c_in(c_Pair(X2,X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_813, plain, (c_Relation_Orel__comp(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X4),tc_bool)),X4,X4,X4)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X4),tc_bool))|c_Relation_Orel__comp(X1,X2,X4,X4,X4)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X4),tc_bool))|c_Relation_Orel__comp(X1,X3,X4,X4,X4)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X4),tc_bool)))).
% 31.06/4.37 cnf(i_0_812, plain, (c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X4,X3,X3,X3)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_bool))|c_Relation_Orel__comp(X1,X4,X3,X3,X3)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_bool))|c_Relation_Orel__comp(X2,X4,X3,X3,X3)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_bool)))).
% 31.06/4.37 cnf(i_0_1250, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X4),X5)|~c_Equiv__Relations_Ocongruent2(X6,X7,X1,X8,X9,X10)|~c_in(c_Pair(X3,X5,X9,X9),X7,tc_prod(X9,X9))|~c_in(c_Pair(X2,X4,X8,X8),X6,tc_prod(X8,X8)))).
% 31.06/4.37 cnf(i_0_1265, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1096, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(X1,X2,X3,X4),X4,X4),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X4),X4,X4,X4),tc_prod(X4,X4))|c_in(c_Pair(X1,X2,X4,X4),X3,tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1267, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1109, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X2,X1,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))|hBOOL(hAPP(X2,X5))|~c_in(c_Pair(X1,X5,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))|~hBOOL(hAPP(X2,X1)))).
% 31.06/4.37 cnf(i_0_1108, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X1,X2,X3,X4),X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))|hBOOL(hAPP(X1,X5))|~c_in(c_Pair(X5,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))|~hBOOL(hAPP(X1,X2)))).
% 31.06/4.37 cnf(i_0_762, plain, (c_lessequals(c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool))|~c_Equiv__Relations_Oequiv(X5,X1,X3)|~c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1027, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(X1,X2,X3,X4),c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X1,X2,X3,X4),X4,X4),X3,tc_prod(X4,X4))|hBOOL(hAPP(X1,X5))|~c_in(c_Pair(X5,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))|~hBOOL(hAPP(X1,X2)))).
% 31.06/4.37 cnf(i_0_1028, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X1,X2,X3,X4),c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(X1,X2,X3,X4),X4,X4),X3,tc_prod(X4,X4))|hBOOL(hAPP(X1,X5))|~c_in(c_Pair(X2,X5,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))|~hBOOL(hAPP(X1,X2)))).
% 31.06/4.37 cnf(i_0_1042, plain, (c_in(X1,c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(X1,c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_lessequals(X4,X2,tc_fun(tc_prod(X3,X3),tc_bool)))).
% 31.06/4.37 cnf(i_0_1284, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1120, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|c_Relation_OImage(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)!=c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)|~c_Equiv__Relations_Oequiv(X5,X4,X3)|~c_in(X2,X5,X3))).
% 31.06/4.37 cnf(i_0_1091, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X1,X2,X3,X4),X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,X4),tc_prod(X4,X4))|c_in(c_Pair(X2,X3,X4,X4),X1,tc_prod(X4,X4))|~c_in(c_Pair(X2,X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1098, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))|c_in(c_Pair(X1,X3,X4,X4),X2,tc_prod(X4,X4))|~c_in(c_Pair(X1,X3,X4,X4),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_1095, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(X1,X2,X3,X4),X2,X4,X4),X3,tc_prod(X4,X4))|c_in(c_Pair(X1,X2,X4,X4),X3,tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 31.06/4.37 cnf(i_0_838, plain, (c_lessequals(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 31.06/4.37 cnf(i_0_1130, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1262, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1263, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1138, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1139, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1285, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_781, plain, (c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Product__Type_OSigma(X6,c_COMBK(X7,tc_fun(X5,tc_bool),X3),X3,X5),tc_fun(tc_prod(X3,X5),tc_bool))|~c_lessequals(X2,c_Product__Type_OSigma(X8,c_COMBK(X7,tc_fun(X5,tc_bool),X4),X4,X5),tc_fun(tc_prod(X4,X5),tc_bool))|~c_lessequals(X1,c_Product__Type_OSigma(X6,c_COMBK(X8,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(tc_prod(X3,X4),tc_bool)))).
% 31.06/4.37 cnf(i_0_1136, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_Relation_Osingle__valued(X4,X3,X3)|~c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 31.06/4.37 cnf(i_0_1332, plain, (c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X3,v_sko__CHAINED__1(X1,X2,X4,X3)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X4,v_sko__CHAINED__1(X1,X2,X4,X3)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(X3,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 31.06/4.37 cnf(i_0_1331, plain, (c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X3,v_sko__CHAINED__1(X1,X2,X3,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X4,v_sko__CHAINED__1(X1,X2,X3,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(X3,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 31.06/4.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 31.06/4.37 # Begin printing tableau
% 31.06/4.37 # Found 8 steps
% 31.06/4.37 cnf(i_0_1336, negated_conjecture, (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_Q____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))), inference(start_rule)).
% 31.06/4.37 cnf(i_0_1357, plain, (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_Q____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))), inference(extension_rule, [i_0_1331])).
% 31.06/4.37 cnf(i_0_2405, plain, (~c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))), inference(closure_rule, [i_0_1328])).
% 31.06/4.37 cnf(i_0_2406, plain, (~c_in(v_Q____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))), inference(closure_rule, [i_0_1327])).
% 31.06/4.37 cnf(i_0_2407, plain, (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))), inference(closure_rule, [i_0_1333])).
% 31.06/4.37 cnf(i_0_2402, plain, (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_Q____,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))), inference(extension_rule, [i_0_956])).
% 31.06/4.37 cnf(i_0_2403, plain, (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_a____,v_b____,v_Q____,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))), inference(etableau_closure_rule, [i_0_2403, ...])).
% 31.06/4.37 cnf(i_0_2408, plain, (c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_Q____,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))=hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_Q____,v_P____))), inference(etableau_closure_rule, [i_0_2408, ...])).
% 31.06/4.37 # End printing tableau
% 31.06/4.37 # SZS output end
% 31.06/4.37 # Branches closed with saturation will be marked with an "s"
% 31.06/4.39 # Child (14681) has found a proof.
% 31.06/4.39
% 31.06/4.39 # Proof search is over...
% 31.06/4.39 # Freeing feature tree
%------------------------------------------------------------------------------