%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SWV905-1 : 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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Wed Jul 20 18:23:53 EDT 2022 % Result : Unsatisfiable 0.19s 0.50s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV905-1 : TPTP v8.1.0. Released v4.1.0. % 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.34 % Computer : n006.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 15 08:26:11 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.41 # No SInE strategy applied % 0.19/0.41 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y % 0.19/0.41 # and selection function SelectMaxLComplexAvoidPosPred. % 0.19/0.41 # % 0.19/0.41 # Number of axioms: 483 Number of unprocessed: 483 % 0.19/0.41 # Tableaux proof search. % 0.19/0.41 # APR header successfully linked. % 0.19/0.41 # Hello from C++ % 0.19/0.43 # The folding up rule is enabled... % 0.19/0.43 # Local unification is enabled... % 0.19/0.43 # Any saturation attempts will use folding labels... % 0.19/0.43 # 483 beginning clauses after preprocessing and clausification % 0.19/0.43 # Creating start rules for all 5 conjectures. % 0.19/0.43 # There are 5 start rule candidates: % 0.19/0.43 # Found 136 unit axioms. % 0.19/0.43 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.19/0.43 # 5 start rule tableaux created. % 0.19/0.43 # 347 extension rule candidate clauses % 0.19/0.43 # 136 unit axiom clauses % 0.19/0.43 % 0.19/0.43 # Requested 8, 32 cores available to the main process. % 0.19/0.43 # There are not enough tableaux to fork, creating more from the initial 5 % 0.19/0.43 # Returning from population with 69 new_tableaux and 0 remaining starting tableaux. % 0.19/0.43 # We now have 69 tableaux to operate on % 0.19/0.50 # There were 1 total branch saturation attempts. % 0.19/0.50 # There were 0 of these attempts blocked. % 0.19/0.50 # There were 0 deferred branch saturation attempts. % 0.19/0.50 # There were 0 free duplicated saturations. % 0.19/0.50 # There were 1 total successful branch saturations. % 0.19/0.50 # There were 0 successful branch saturations in interreduction. % 0.19/0.50 # There were 0 successful branch saturations on the branch. % 0.19/0.50 # There were 1 successful branch saturations after the branch. % 0.19/0.50 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.19/0.50 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.19/0.50 # Begin clausification derivation % 0.19/0.50 % 0.19/0.50 # End clausification derivation % 0.19/0.50 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.50 cnf(i_0_932, negated_conjecture, (c_Com_OWT__bodies)). % 0.19/0.50 cnf(i_0_931, negated_conjecture, (c_Hoare__Mirabelle_Ostate__not__singleton)). % 0.19/0.50 cnf(i_0_968, plain, (class_HOL_Ominus(tc_bool))). % 0.19/0.50 cnf(i_0_956, plain, (class_HOL_Ominus(tc_nat))). % 0.19/0.50 cnf(i_0_960, plain, (class_Lattices_Olower__semilattice(tc_bool))). % 0.19/0.50 cnf(i_0_949, plain, (class_Lattices_Olower__semilattice(tc_nat))). % 0.19/0.50 cnf(i_0_959, plain, (class_Lattices_Oupper__semilattice(tc_bool))). % 0.19/0.50 cnf(i_0_948, plain, (class_Lattices_Oupper__semilattice(tc_nat))). % 0.19/0.50 cnf(i_0_965, plain, (class_Lattices_Olattice(tc_bool))). % 0.19/0.50 cnf(i_0_953, plain, (class_Lattices_Olattice(tc_nat))). % 0.19/0.50 cnf(i_0_963, plain, (class_Finite__Set_Ofinite_Ofinite(tc_bool))). % 0.19/0.50 cnf(i_0_969, plain, (class_HOL_Oord(tc_bool))). % 0.19/0.50 cnf(i_0_957, plain, (class_HOL_Oord(tc_nat))). % 0.19/0.50 cnf(i_0_952, plain, (class_Orderings_Olinorder(tc_nat))). % 0.19/0.50 cnf(i_0_961, plain, (class_Lattices_Odistrib__lattice(tc_bool))). % 0.19/0.50 cnf(i_0_950, plain, (class_Lattices_Odistrib__lattice(tc_nat))). % 0.19/0.50 cnf(i_0_958, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))). % 0.19/0.50 cnf(i_0_966, plain, (class_Orderings_Oorder(tc_bool))). % 0.19/0.50 cnf(i_0_954, plain, (class_Orderings_Oorder(tc_nat))). % 0.19/0.50 cnf(i_0_962, plain, (class_Lattices_Obounded__lattice(tc_bool))). % 0.19/0.50 cnf(i_0_967, plain, (class_Orderings_Obot(tc_bool))). % 0.19/0.50 cnf(i_0_955, plain, (class_Orderings_Obot(tc_nat))). % 0.19/0.50 cnf(i_0_964, plain, (class_Orderings_Opreorder(tc_bool))). % 0.19/0.50 cnf(i_0_951, plain, (class_Orderings_Opreorder(tc_nat))). % 0.19/0.50 cnf(i_0_933, negated_conjecture, (c_Com_OWT(v_c))). % 0.19/0.50 cnf(i_0_910, plain, (X1=X2|c_Hoare__Mirabelle_Ostate__not__singleton)). % 0.19/0.50 cnf(i_0_929, plain, (X1=X2|c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OBODY(X2))). % 0.19/0.50 cnf(i_0_970, plain, (class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X1))|~class_Finite__Set_Ofinite_Ofinite(X1))). % 0.19/0.50 cnf(i_0_512, plain, (c_Finite__Set_Ofinite(X2,X1)|~class_Finite__Set_Ofinite_Ofinite(X1))). % 0.19/0.50 cnf(i_0_884, plain, (hAPP(c_Com_Obody,X1)=c_Option_Ooption_ONone(tc_Com_Ocom)|c_Com_OWT(c_Com_Ocom_OBODY(X1)))). % 0.19/0.50 cnf(i_0_564, plain, (c_Option_Ooption_ONone(X1)!=c_Option_Ooption_OSome(X2,X1))). % 0.19/0.50 cnf(i_0_565, plain, (c_Option_Ooption_ONone(X1)!=c_Option_Ooption_OSome(X2,X1))). % 0.19/0.50 cnf(i_0_611, plain, (c_Option_Ooption_OSome(X1,X2)!=c_Option_Ooption_ONone(X2))). % 0.19/0.50 cnf(i_0_612, plain, (c_Option_Ooption_OSome(X1,X2)!=c_Option_Ooption_ONone(X2))). % 0.19/0.50 cnf(i_0_946, plain, (class_HOL_Ominus(tc_fun(X1,X2))|~class_HOL_Ominus(X2))). % 0.19/0.50 cnf(i_0_938, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). % 0.19/0.50 cnf(i_0_937, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). % 0.19/0.50 cnf(i_0_943, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). % 0.19/0.50 cnf(i_0_947, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))). % 0.19/0.50 cnf(i_0_939, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))). % 0.19/0.50 cnf(i_0_936, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))). % 0.19/0.50 cnf(i_0_944, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))). % 0.19/0.50 cnf(i_0_940, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))). % 0.19/0.50 cnf(i_0_945, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))). % 0.19/0.50 cnf(i_0_942, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))). % 0.19/0.50 cnf(i_0_826, plain, (c_Option_Othe(c_Option_Ooption_OSome(X1,X2),X2)=X1)). % 0.19/0.50 cnf(i_0_941, plain, (class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))). % 0.19/0.50 cnf(i_0_885, plain, (c_Com_OWT(X2)|hAPP(c_Com_Obody,X1)!=c_Option_Ooption_OSome(X2,tc_Com_Ocom)|~c_Com_OWT__bodies)). % 0.19/0.50 cnf(i_0_613, plain, (X1=X3|c_Option_Ooption_OSome(X1,X2)!=c_Option_Ooption_OSome(X3,X2))). % 0.19/0.50 cnf(i_0_786, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2)=X2|~class_Lattices_Olower__semilattice(X1))). % 0.19/0.50 cnf(i_0_803, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Oorder(X1))). % 0.19/0.50 cnf(i_0_804, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Opreorder(X1))). % 0.19/0.50 cnf(i_0_568, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1)=X2|~class_Lattices_Oupper__semilattice(X1))). % 0.19/0.50 cnf(i_0_688, plain, (c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))). % 0.19/0.50 cnf(i_0_670, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))). % 0.19/0.50 cnf(i_0_667, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1)=X2|~class_Lattices_Obounded__lattice(X1))). % 0.19/0.50 cnf(i_0_666, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))). % 0.19/0.50 cnf(i_0_669, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))). % 0.19/0.50 cnf(i_0_914, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))). % 0.19/0.50 cnf(i_0_668, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))). % 0.19/0.50 cnf(i_0_841, plain, (c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_Orderings_Obot__class_Obot(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))). % 0.19/0.50 cnf(i_0_799, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))). % 0.19/0.50 cnf(i_0_800, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))). % 0.19/0.50 cnf(i_0_569, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)). % 0.19/0.50 cnf(i_0_718, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OCall(X2,X3,X4))). % 0.19/0.50 cnf(i_0_717, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OBODY(X4))). % 0.19/0.50 cnf(i_0_681, plain, (X1!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~hBOOL(hAPP(X1,X3)))). % 0.19/0.50 cnf(i_0_678, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))!=X2|~hBOOL(hAPP(X2,X3)))). % 0.19/0.50 cnf(i_0_617, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_OrderedGroup_Oab__semigroup__mult(X1,X4))). % 0.19/0.50 cnf(i_0_686, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))). % 0.19/0.50 cnf(i_0_672, plain, (X3=c_Orderings_Obot__class_Obot(X1)|c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))). % 0.19/0.50 cnf(i_0_671, plain, (X2=c_Orderings_Obot__class_Obot(X1)|c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))). % 0.19/0.50 cnf(i_0_878, plain, (c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname))). % 0.19/0.50 cnf(i_0_536, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)|~class_Lattices_Olower__semilattice(X1))). % 0.19/0.50 cnf(i_0_535, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)|~class_Lattices_Olattice(X1))). % 0.19/0.50 cnf(i_0_505, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)|~class_Lattices_Oupper__semilattice(X1))). % 0.19/0.50 cnf(i_0_506, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)|~class_Lattices_Olattice(X1))). % 0.19/0.50 cnf(i_0_830, plain, (c_lessequals(X3,X2,X1)|c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1))). % 0.19/0.50 cnf(i_0_873, plain, (c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3))|~c_Com_OWT(c_Com_Ocom_OBODY(X2)))). % 0.19/0.50 cnf(i_0_913, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))). % 0.19/0.50 cnf(i_0_900, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))!=c_Set_Oinsert(X2,X3,X1))). % 0.19/0.50 cnf(i_0_692, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))). % 0.19/0.50 cnf(i_0_687, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)). % 0.19/0.50 cnf(i_0_684, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)). % 0.19/0.50 cnf(i_0_685, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)). % 0.19/0.50 cnf(i_0_909, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2))). % 0.19/0.50 cnf(i_0_719, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3))). % 0.19/0.50 cnf(i_0_810, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1))). % 0.19/0.50 cnf(i_0_762, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1))). % 0.19/0.50 cnf(i_0_707, plain, (c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)|~c_Finite__Set_Ofinite(X2,X3))). % 0.19/0.50 cnf(i_0_787, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2)=X2)). % 0.19/0.50 cnf(i_0_550, plain, (c_lessequals(X2,X3,X1)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)!=X2|~class_Lattices_Olower__semilattice(X1))). % 0.19/0.50 cnf(i_0_549, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=X3|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X3,X2,X1))). % 0.19/0.50 cnf(i_0_551, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=X2|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.50 cnf(i_0_750, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=X3|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.50 cnf(i_0_748, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=X2|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X2,X1))). % 0.19/0.50 cnf(i_0_749, plain, (c_lessequals(X2,X3,X1)|c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)!=X3|~class_Lattices_Oupper__semilattice(X1))). % 0.19/0.50 cnf(i_0_504, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)))). % 0.19/0.50 cnf(i_0_902, plain, (c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x))). % 0.19/0.50 cnf(i_0_683, 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)))). % 0.19/0.50 cnf(i_0_641, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(X2,X1)))). % 0.19/0.50 cnf(i_0_920, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(X2,X1)))). % 0.19/0.50 cnf(i_0_805, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))). % 0.19/0.50 cnf(i_0_807, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))). % 0.19/0.50 cnf(i_0_771, plain, (c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)|~class_Lattices_Olower__semilattice(X1))). % 0.19/0.50 cnf(i_0_767, plain, (c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)|~class_Lattices_Olattice(X1))). % 0.19/0.50 cnf(i_0_772, plain, (c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)|~class_Lattices_Olower__semilattice(X1))). % 0.19/0.50 cnf(i_0_766, plain, (c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)|~class_Lattices_Olattice(X1))). % 0.19/0.50 cnf(i_0_739, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1)=X2|~class_Lattices_Olattice(X1))). % 0.19/0.50 cnf(i_0_746, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1))=X2|~class_Lattices_Olattice(X1))). % 0.19/0.50 cnf(i_0_862, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X2,X1)=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)|~class_Orderings_Oorder(X1))). % 0.19/0.50 cnf(i_0_542, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)|~class_Lattices_Oupper__semilattice(X1))). % 0.19/0.51 cnf(i_0_539, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_543, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)|~class_Lattices_Oupper__semilattice(X1))). % 0.19/0.51 cnf(i_0_538, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_583, plain, (X3=X6|c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OCall(X4,X5,X6))). % 0.19/0.51 cnf(i_0_584, plain, (X2=X5|c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OCall(X4,X5,X6))). % 0.19/0.51 cnf(i_0_585, plain, (X1=X4|c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OCall(X4,X5,X6))). % 0.19/0.51 cnf(i_0_562, plain, (X3=X4|c_HOL_Ominus__class_Ominus(X2,X2,X1)!=c_HOL_Ominus__class_Ominus(X3,X4,X1)|~class_OrderedGroup_Oab__group__add(X1))). % 0.19/0.51 cnf(i_0_563, plain, (X2=X3|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X4,X1)|~class_OrderedGroup_Oab__group__add(X1))). % 0.19/0.51 cnf(i_0_679, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_743, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.51 cnf(i_0_744, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.51 cnf(i_0_745, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.51 cnf(i_0_709, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_874, plain, (c_Com_OWT(c_Com_Ocom_OBODY(X1))|~c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3)))). % 0.19/0.51 cnf(i_0_588, plain, (c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X1,X3))). % 0.19/0.51 cnf(i_0_696, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_697, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_802, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_806, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_751, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_752, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_753, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)). % 0.19/0.51 cnf(i_0_708, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2))). % 0.19/0.51 cnf(i_0_642, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,X1,X3)))). % 0.19/0.51 cnf(i_0_921, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,X1,X3)))). % 0.19/0.51 cnf(i_0_589, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,X1))=c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,X3,X1),X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))). % 0.19/0.51 cnf(i_0_674, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_593, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)=c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,X3,X1),X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))). % 0.19/0.51 cnf(i_0_908, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))). % 0.19/0.51 cnf(i_0_595, plain, (c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X2,X3)|~c_Finite__Set_Ofinite(X1,X3))). % 0.19/0.51 cnf(i_0_604, plain, (c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X2,X3)|~c_Finite__Set_Ofinite(X1,X3))). % 0.19/0.51 cnf(i_0_605, plain, (c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X2,X3)|~c_Finite__Set_Ofinite(X1,X3))). % 0.19/0.51 cnf(i_0_782, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)|~class_Lattices_Olower__semilattice(X1))). % 0.19/0.51 cnf(i_0_781, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_912, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))). % 0.19/0.51 cnf(i_0_661, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(X2,X1),X2,X1))|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X2,X1))). % 0.19/0.51 cnf(i_0_660, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(X2,X1),X2,X1))|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X2,X1))). % 0.19/0.51 cnf(i_0_811, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.51 cnf(i_0_763, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.51 cnf(i_0_690, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_508, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1))). % 0.19/0.51 cnf(i_0_509, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_818, plain, (c_The(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1)). % 0.19/0.51 cnf(i_0_851, plain, (c_The(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1)). % 0.19/0.51 cnf(i_0_857, plain, (c_Set_Ocontents(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1)). % 0.19/0.51 cnf(i_0_895, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3))). % 0.19/0.51 cnf(i_0_547, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_546, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_532, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_930, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(c_in(X1,X2,X3)))). % 0.19/0.51 cnf(i_0_680, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))). % 0.19/0.51 cnf(i_0_860, plain, (c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)=X2|~class_Orderings_Olinorder(X1))). % 0.19/0.51 cnf(i_0_864, plain, (c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)=X2|~class_Complete__Lattice_Ocomplete__lattice(X1))). % 0.19/0.51 cnf(i_0_846, plain, (c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)=X2|~class_Complete__Lattice_Ocomplete__lattice(X1))). % 0.19/0.51 cnf(i_0_850, plain, (c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)=X2|~class_Orderings_Olinorder(X1))). % 0.19/0.51 cnf(i_0_797, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1))). % 0.19/0.51 cnf(i_0_798, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1))). % 0.19/0.51 cnf(i_0_925, plain, (hBOOL(c_in(X1,X2,X3))|c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_527, plain, (c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)|~class_HOL_Oord(X1)|~c_lessequals(X2,X4,tc_fun(X5,X1)))). % 0.19/0.51 cnf(i_0_894, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))). % 0.19/0.51 cnf(i_0_740, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_741, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_598, plain, (c_Map_Omap__le(X1,X1,X2,X3))). % 0.19/0.51 cnf(i_0_500, plain, (c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X3,X4,X1))). % 0.19/0.51 cnf(i_0_499, plain, (c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,X4,X1))). % 0.19/0.51 cnf(i_0_790, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X2,X4,X1))). % 0.19/0.51 cnf(i_0_791, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.51 cnf(i_0_616, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))=hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))|~c_OrderedGroup_Oab__semigroup__mult(X1,X5))). % 0.19/0.51 cnf(i_0_872, plain, (c_Set_Oinsert(X2,c_Map_Odom(X1,X5,X4),X5)=c_Map_Odom(X1,X5,X4)|c_Option_Ooption_OSome(X3,X4)!=hAPP(X1,X2))). % 0.19/0.51 cnf(i_0_882, plain, (hBOOL(c_in(X1,X2,X3))|c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_OrderedGroup_Oab__semigroup__mult(X4,X5))). % 0.19/0.51 cnf(i_0_829, plain, (c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(c_in(X2,X3,X1)))). % 0.19/0.51 cnf(i_0_761, plain, (c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X1),X3,X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(c_in(X3,X2,X1)))). % 0.19/0.51 cnf(i_0_552, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)=X3|~c_lessequals(X3,X2,tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_553, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)=X2|~c_lessequals(X2,X3,tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_494, plain, (c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),hAPP(X3,v_x),X1)=hAPP(c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(t_a,X1)),v_x)|~class_HOL_Ominus(X1))). % 0.19/0.51 cnf(i_0_575, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(X2,v_x),hAPP(X3,v_x),X1)=hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(t_a,X1)),v_x)|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_691, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_629, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2))). % 0.19/0.51 cnf(i_0_628, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2))). % 0.19/0.51 cnf(i_0_827, plain, (c_lessequals(X2,c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(c_in(X2,X3,X1)))). % 0.19/0.51 cnf(i_0_819, plain, (c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),X3,X1)|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X3,X2,X1)))). % 0.19/0.51 cnf(i_0_755, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),c_Finite__Set_Olinorder__class_OMin(X3,X1),X1)|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X2,X1)|~c_lessequals(X3,X2,tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_561, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_lessequals(c_Finite__Set_Olinorder__class_OMax(X2,X1),c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_lessequals(X2,X3,tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_537, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X2))). % 0.19/0.51 cnf(i_0_927, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))). % 0.19/0.51 cnf(i_0_594, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2))). % 0.19/0.51 cnf(i_0_934, negated_conjecture, (hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)))). % 0.19/0.51 cnf(i_0_713, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_493, 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)))). % 0.19/0.51 cnf(i_0_507, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_566, 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)))). % 0.19/0.51 cnf(i_0_492, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_498, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1))). % 0.19/0.51 cnf(i_0_502, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1))). % 0.19/0.51 cnf(i_0_497, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1))). % 0.19/0.51 cnf(i_0_501, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1))). % 0.19/0.51 cnf(i_0_624, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))|~class_Lattices_Olower__semilattice(X1))). % 0.19/0.51 cnf(i_0_623, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_788, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1))). % 0.19/0.51 cnf(i_0_792, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1))). % 0.19/0.51 cnf(i_0_789, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1))). % 0.19/0.51 cnf(i_0_793, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1))). % 0.19/0.51 cnf(i_0_822, plain, (c_lessequals(X5,X4,X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,X2,X1))). % 0.19/0.51 cnf(i_0_823, plain, (c_lessequals(X3,X2,X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X5,X4,X1))). % 0.19/0.51 cnf(i_0_801, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_524, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X3,X1))). % 0.19/0.51 cnf(i_0_525, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X2,X1))). % 0.19/0.51 cnf(i_0_919, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))). % 0.19/0.51 cnf(i_0_510, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_916, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)))). % 0.19/0.51 cnf(i_0_917, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)))). % 0.19/0.51 cnf(i_0_918, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)))). % 0.19/0.51 cnf(i_0_698, plain, (c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_673, plain, (c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_694, plain, (c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_890, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X4,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3))). % 0.19/0.51 cnf(i_0_556, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1))). % 0.19/0.51 cnf(i_0_555, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_557, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1))). % 0.19/0.51 cnf(i_0_554, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_615, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_OrderedGroup_Oab__semigroup__mult(X1,X5))). % 0.19/0.51 cnf(i_0_923, plain, (X1=X3|c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)!=c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))). % 0.19/0.51 cnf(i_0_768, plain, (c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.51 cnf(i_0_769, plain, (c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.51 cnf(i_0_770, plain, (c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)|~class_Lattices_Olower__semilattice(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X2,X3,X1))). % 0.19/0.51 cnf(i_0_896, plain, (~hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))). % 0.19/0.51 cnf(i_0_898, plain, (~hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))). % 0.19/0.51 cnf(i_0_899, plain, (~hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))). % 0.19/0.51 cnf(i_0_540, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))). % 0.19/0.51 cnf(i_0_541, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))). % 0.19/0.51 cnf(i_0_544, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))). % 0.19/0.51 cnf(i_0_863, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,X2,X3))). % 0.19/0.51 cnf(i_0_867, plain, (hAPP(X2,X1)=c_Option_Ooption_ONone(X4)|hBOOL(c_in(X1,c_Map_Odom(X2,X3,X4),X3)))). % 0.19/0.51 cnf(i_0_576, plain, (c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))=X2|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_534, 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))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_618, plain, (c_lessequals(X2,X3,X1)|c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1))). % 0.19/0.51 cnf(i_0_774, plain, (c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_773, plain, (c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_714, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_897, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)))). % 0.19/0.51 cnf(i_0_869, plain, (hBOOL(c_in(X2,c_Map_Odom(X1,X5,X4),X5))|c_Option_Ooption_OSome(X3,X4)!=hAPP(X1,X2))). % 0.19/0.51 cnf(i_0_901, plain, (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Com_OWT__bodies|~c_Hoare__Mirabelle_Ostate__not__singleton|~c_Com_OWT(X1))). % 0.19/0.51 cnf(i_0_620, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))). % 0.19/0.51 cnf(i_0_621, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))). % 0.19/0.51 cnf(i_0_924, plain, (~hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)))). % 0.19/0.51 cnf(i_0_711, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4))). % 0.19/0.51 cnf(i_0_712, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3))). % 0.19/0.51 cnf(i_0_928, plain, (X2=X4|hBOOL(c_in(X1,X4,X3))|hBOOL(c_in(X1,X2,X3))|c_Set_Oinsert(X1,X2,X3)!=c_Set_Oinsert(X1,X4,X3))). % 0.19/0.51 cnf(i_0_831, plain, (hBOOL(c_in(X1,X2,X3))|~c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_530, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,X4,X3))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_631, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,X4,X3))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_632, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,X4,X3))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_633, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,X4,X3))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_703, 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)))). % 0.19/0.51 cnf(i_0_911, plain, (X2=X3|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)))). % 0.19/0.51 cnf(i_0_833, plain, (hBOOL(c_in(X2,X1,X4))|c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_835, plain, (hBOOL(c_in(X2,X1,X4))|c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_625, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_Lattices_Olower__semilattice(X1))). % 0.19/0.51 cnf(i_0_622, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_572, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4),X1)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1))|~class_Lattices_Odistrib__lattice(X1))). % 0.19/0.51 cnf(i_0_796, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))=hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x)|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_730, 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))|~hBOOL(c_in(X1,X4,X3)))). % 0.19/0.51 cnf(i_0_795, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_794, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_971, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X1)))). % 0.19/0.51 cnf(i_0_675, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Set_Oimage(X1,X2,X3,X4)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_693, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Set_Oimage(X2,X3,X4,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_559, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_558, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_606, plain, (c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1)|~c_lessequals(X4,X2,X1)|~c_lessequals(X3,X5,X1))). % 0.19/0.51 cnf(i_0_545, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_548, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_821, 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)))). % 0.19/0.51 cnf(i_0_834, plain, (hBOOL(c_in(X4,X1,X3))|c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_836, plain, (hBOOL(c_in(X4,X1,X3))|c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_727, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))|~hBOOL(c_in(X1,X4,X3))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_892, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))|~hBOOL(c_in(X1,X3,X4)))). % 0.19/0.51 cnf(i_0_893, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))|~hBOOL(c_in(X1,X3,X4)))). % 0.19/0.51 cnf(i_0_840, 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)|hBOOL(c_in(X1,X4,X3)))). % 0.19/0.51 cnf(i_0_716, plain, (c_HOL_Ominus__class_Ominus(c_Map_Odom(X1,X4,X3),c_Set_Oinsert(X2,X5,X4),tc_fun(X4,tc_bool))=c_HOL_Ominus__class_Ominus(c_Map_Odom(X1,X4,X3),X5,tc_fun(X4,tc_bool))|hAPP(X1,X2)!=c_Option_Ooption_ONone(X3))). % 0.19/0.51 cnf(i_0_837, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)|hBOOL(c_in(X3,X2,X1)))). % 0.19/0.51 cnf(i_0_883, 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|hBOOL(c_in(X1,X2,X3)))). % 0.19/0.51 cnf(i_0_747, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool))=X1)). % 0.19/0.51 cnf(i_0_760, plain, (c_lessequals(c_The(c_Finite__Set_Ofold1Set(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X1),X1),X3,X1)|~class_Lattices_Olower__semilattice(X1)|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X3,X2,X1)))). % 0.19/0.51 cnf(i_0_754, plain, (c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)|~c_Finite__Set_Ofinite(X2,X3))). % 0.19/0.51 cnf(i_0_922, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))). % 0.19/0.51 cnf(i_0_571, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)),X4)|~class_Lattices_Odistrib__lattice(X1))). % 0.19/0.51 cnf(i_0_891, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)))). % 0.19/0.51 cnf(i_0_778, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1))=c_Lattices_Oupper__semilattice__class_Osup(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)|~class_Lattices_Odistrib__lattice(X1))). % 0.19/0.51 cnf(i_0_777, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)|~class_Lattices_Odistrib__lattice(X1))). % 0.19/0.51 cnf(i_0_868, plain, (hAPP(X1,X2)!=c_Option_Ooption_ONone(X3)|~hBOOL(c_in(X2,c_Map_Odom(X1,X4,X3),X4)))). % 0.19/0.51 cnf(i_0_859, plain, (c_The(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3)=X2)). % 0.19/0.51 cnf(i_0_516, plain, (hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2)=c_Option_Ooption_OSome(X3,X4)|c_Option_Ooption_OSome(X3,X4)!=hAPP(X1,X2))). % 0.19/0.51 cnf(i_0_517, plain, (hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2)=c_Option_Ooption_OSome(X3,X4)|c_Option_Ooption_OSome(X3,X4)!=hAPP(X1,X2))). % 0.19/0.51 cnf(i_0_515, plain, (hAPP(c_Map_Omap__add(X1,X4,X5,X3),X2)=c_Option_Ooption_ONone(X3)|hAPP(X4,X2)!=c_Option_Ooption_ONone(X3)|hAPP(X1,X2)!=c_Option_Ooption_ONone(X3))). % 0.19/0.51 cnf(i_0_783, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))). % 0.19/0.51 cnf(i_0_619, plain, (hBOOL(hAPP(X3,X2))|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)))). % 0.19/0.51 cnf(i_0_843, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|X1=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)|~c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_635, plain, (hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X3,X4)))). % 0.19/0.51 cnf(i_0_634, plain, (hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X2,X4)))). % 0.19/0.51 cnf(i_0_522, 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)))). % 0.19/0.51 cnf(i_0_521, 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)))). % 0.19/0.51 cnf(i_0_488, plain, (hAPP(c_Map_Omap__add(X1,X5,X6,X4),X2)=c_Option_Ooption_OSome(X3,X4)|hAPP(X5,X2)!=c_Option_Ooption_ONone(X4)|c_Option_Ooption_OSome(X3,X4)!=hAPP(X1,X2))). % 0.19/0.51 cnf(i_0_926, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3))). % 0.19/0.51 cnf(i_0_702, plain, (c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)|~class_Complete__Lattice_Ocomplete__lattice(X1))). % 0.19/0.51 cnf(i_0_935, negated_conjecture, (~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))). % 0.19/0.51 cnf(i_0_700, plain, (c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))). % 0.19/0.51 cnf(i_0_607, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X4,X2,X1)|~c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1),tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_608, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1),tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_775, plain, (c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))|~c_lessequals(X1,X4,tc_fun(X2,tc_bool))|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))). % 0.19/0.51 cnf(i_0_776, plain, (c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))|~c_lessequals(X1,X4,tc_fun(X2,tc_bool))|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))). % 0.19/0.51 cnf(i_0_503, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_838, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)|hBOOL(c_in(X2,X4,X1)))). % 0.19/0.51 cnf(i_0_724, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~hBOOL(c_in(X1,X4,X3))|~hBOOL(c_in(X1,X2,X3)))). % 0.19/0.51 cnf(i_0_907, plain, (X1=X4|hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)))). % 0.19/0.51 cnf(i_0_855, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_736, 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)))). % 0.19/0.51 cnf(i_0_765, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_888, plain, (hBOOL(c_in(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(X1),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname))|c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Hoare__Mirabelle_Ostate__not__singleton|~c_Com_OWT(X2))). % 0.19/0.51 cnf(i_0_785, plain, (c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)|~c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4))). % 0.19/0.51 cnf(i_0_495, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_496, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_812, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))). % 0.19/0.51 cnf(i_0_586, plain, (c_lessequals(c_Map_Odom(X1,X2,X3),c_Map_Odom(X4,X2,X3),tc_fun(X2,tc_bool))|~c_Map_Omap__le(X1,X4,X2,X3))). % 0.19/0.51 cnf(i_0_861, 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))). % 0.19/0.51 cnf(i_0_725, plain, (hAPP(X3,X5)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~hBOOL(c_in(X5,X2,X4)))). % 0.19/0.51 cnf(i_0_726, plain, (hAPP(X2,X5)=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|~hBOOL(c_in(X5,X1,X3)))). % 0.19/0.51 cnf(i_0_820, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(X2,X4)))). % 0.19/0.51 cnf(i_0_643, plain, (hBOOL(c_in(X1,X3,X4))|hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X2,X4)))). % 0.19/0.51 cnf(i_0_644, plain, (hBOOL(c_in(X1,X3,X4))|hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X2,X4)))). % 0.19/0.51 cnf(i_0_682, plain, (~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3)))). % 0.19/0.51 cnf(i_0_972, plain, (X1=X2|~hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2)))). % 0.19/0.51 cnf(i_0_567, plain, (c_HOL_Ominus__class_Ominus(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X1)). % 0.19/0.51 cnf(i_0_731, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X1)). % 0.19/0.51 cnf(i_0_630, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=X4)). % 0.19/0.51 cnf(i_0_520, plain, (c_Map_Omap__le(X1,c_Map_Omap__add(X2,X1,X3,X4),X3,X4))). % 0.19/0.51 cnf(i_0_814, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)))). % 0.19/0.51 cnf(i_0_581, plain, (c_lessequals(hAPP(X2,X3),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,X1),X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(c_in(X3,X4,X5)))). % 0.19/0.51 cnf(i_0_784, plain, (c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3))). % 0.19/0.51 cnf(i_0_728, plain, (c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),X1)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1))|~hBOOL(c_in(X3,X2,X1)))). % 0.19/0.51 cnf(i_0_638, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)))). % 0.19/0.51 cnf(i_0_889, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4))). % 0.19/0.51 cnf(i_0_759, plain, (X3=X7|c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4)!=c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4))). % 0.19/0.51 cnf(i_0_758, plain, (X2=X6|c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4)!=c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4))). % 0.19/0.51 cnf(i_0_757, plain, (X1=X5|c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4)!=c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4))). % 0.19/0.51 cnf(i_0_610, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))|~c_lessequals(X4,X2,tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_742, plain, (X1=X2|~c_Map_Omap__le(X2,X1,X3,X4)|~c_Map_Omap__le(X1,X2,X3,X4))). % 0.19/0.51 cnf(i_0_587, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_lessequals(X2,X3,X1)|~class_Lattices_Olower__semilattice(X1)|~c_Finite__Set_Ofinite(X4,X1)|~hBOOL(c_in(X3,X4,X1))|~c_lessequals(X2,c_The(c_Finite__Set_Ofold1Set(c_Lattices_Olower__semilattice__class_Oinf(X1),X4,X1),X1),X1))). % 0.19/0.51 cnf(i_0_664, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_The(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,X3,X4),X4),X4)=hAPP(hAPP(X1,X2),c_The(c_Finite__Set_Ofold1Set(X1,X3,X4),X4))|hBOOL(c_in(X2,X3,X4))|~c_Finite__Set_Ofinite(X3,X4)|~c_OrderedGroup_Oab__semigroup__mult(X1,X4))). % 0.19/0.51 cnf(i_0_848, plain, (c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4))). % 0.19/0.51 cnf(i_0_710, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,X4,X1))=c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1))). % 0.19/0.51 cnf(i_0_879, 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)=X2|~hBOOL(c_in(X1,X2,X3)))). % 0.19/0.51 cnf(i_0_582, plain, (c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))|~hBOOL(c_in(X2,X3,X4)))). % 0.19/0.51 cnf(i_0_490, plain, (hAPP(X2,X5)=c_Option_Ooption_ONone(X4)|hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)!=c_Option_Ooption_ONone(X4))). % 0.19/0.51 cnf(i_0_489, plain, (hAPP(X1,X5)=c_Option_Ooption_ONone(X4)|hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)!=c_Option_Ooption_ONone(X4))). % 0.19/0.51 cnf(i_0_637, plain, (~hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3)))). % 0.19/0.51 cnf(i_0_809, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool))),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)))=c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_854, plain, (c_HOL_Ominus__class_Ominus(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))=c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_903, plain, (X2=X5|X2=X4|c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)!=c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))). % 0.19/0.51 cnf(i_0_904, plain, (X2=X5|X1=X5|c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)!=c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))). % 0.19/0.51 cnf(i_0_905, plain, (X2=X4|X1=X4|c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)!=c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))). % 0.19/0.51 cnf(i_0_906, plain, (X1=X5|X1=X4|c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)!=c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))). % 0.19/0.51 cnf(i_0_600, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(X2,X3,X4),c_Map_Odom(X1,X3,X4),tc_fun(X3,tc_bool))=c_Map_Odom(c_Map_Omap__add(X1,X2,X3,X4),X3,X4))). % 0.19/0.51 cnf(i_0_915, plain, (X1=X2|~hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)))). % 0.19/0.51 cnf(i_0_866, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=hAPP(X2,X5)|hBOOL(c_in(X5,c_Map_Odom(X1,X3,X4),X3)))). % 0.19/0.51 cnf(i_0_865, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=hAPP(X1,X5)|hBOOL(c_in(X5,c_Map_Odom(X2,X3,X4),X3)))). % 0.19/0.51 cnf(i_0_627, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)))). % 0.19/0.51 cnf(i_0_764, plain, (hAPP(X2,X5)=c_Option_Ooption_ONone(X4)|c_Option_Ooption_OSome(X6,X4)=hAPP(X2,X5)|hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)!=c_Option_Ooption_OSome(X6,X4))). % 0.19/0.51 cnf(i_0_729, plain, (c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4)|~hBOOL(c_in(X2,X4,X1)))). % 0.19/0.51 cnf(i_0_487, plain, (c_Option_Ooption_OSome(X6,X4)=hAPP(X2,X5)|c_Option_Ooption_OSome(X6,X4)=hAPP(X1,X5)|hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)!=c_Option_Ooption_OSome(X6,X4))). % 0.19/0.51 cnf(i_0_636, plain, (hBOOL(c_in(X1,X4,X3))|hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)))). % 0.19/0.51 cnf(i_0_808, plain, (c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))|~c_lessequals(X3,X5,tc_fun(X1,tc_bool))|~c_lessequals(X2,X4,tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_533, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1)),X1)|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_813, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(hAPP(X4,X1))|~hBOOL(c_in(X1,X3,X2)))). % 0.19/0.51 cnf(i_0_887, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Hoare__Mirabelle_Ostate__not__singleton|~c_Com_OWT(X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))). % 0.19/0.51 cnf(i_0_704, 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))). % 0.19/0.51 cnf(i_0_870, plain, (hAPP(X1,X2)=hAPP(X3,X2)|~c_Map_Omap__le(X1,X3,X4,X5)|~hBOOL(c_in(X2,c_Map_Odom(X1,X4,X5),X4)))). % 0.19/0.51 cnf(i_0_579, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X4,X5)|~c_lessequals(X1,c_Set_Oimage(X3,X4,X5,X2),tc_fun(X2,tc_bool)))). % 0.19/0.51 cnf(i_0_858, plain, (X1=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)|~hBOOL(hAPP(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X1)))). % 0.19/0.51 cnf(i_0_734, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))). % 0.19/0.51 cnf(i_0_573, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))). % 0.19/0.51 cnf(i_0_779, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X2,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)))). % 0.19/0.51 cnf(i_0_780, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X1,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_518, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)))). % 0.19/0.51 cnf(i_0_519, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)))). % 0.19/0.51 cnf(i_0_832, plain, (c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)=c_Set_Oimage(X1,X3,X4,X5)|~hBOOL(c_in(X2,X3,X4)))). % 0.19/0.51 cnf(i_0_738, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3),tc_fun(X1,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_756, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),X4,X3,tc_fun(X5,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))). % 0.19/0.51 cnf(i_0_599, plain, (c_Map_Omap__le(X1,X2,X3,X4)|~c_Map_Omap__le(X5,X2,X3,X4)|~c_Map_Omap__le(X1,X5,X3,X4))). % 0.19/0.51 cnf(i_0_871, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=hAPP(X2,X5)|~hBOOL(c_in(X5,c_Map_Odom(X2,X3,X4),X3)))). % 0.19/0.51 cnf(i_0_528, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(c_in(X1,X4,X2))|~hBOOL(c_in(X1,X3,X2)))). % 0.19/0.51 cnf(i_0_529, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(c_in(X1,X4,X2))|~hBOOL(c_in(X1,X3,X2)))). % 0.19/0.51 cnf(i_0_849, plain, (hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X2)))). % 0.19/0.51 cnf(i_0_602, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool))|~hBOOL(c_in(X2,X3,X4)))). % 0.19/0.51 cnf(i_0_735, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X4))). % 0.19/0.51 cnf(i_0_574, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))),X4))). % 0.19/0.51 cnf(i_0_570, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X3)))). % 0.19/0.51 cnf(i_0_597, plain, (c_Finite__Set_Ofinite(hAPP(X1,X2),X3)|~c_Finite__Set_Ofinite(X4,X5)|~hBOOL(c_in(X2,X4,X5))|~c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X1,X5,tc_fun(X3,tc_bool)),X3))). % 0.19/0.51 cnf(i_0_609, plain, (c_lessequals(X4,X2,tc_fun(X1,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))). % 0.19/0.51 cnf(i_0_737, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1)),X1)|~class_Lattices_Olattice(X1))). % 0.19/0.51 cnf(i_0_723, 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))|~hBOOL(c_in(X2,X1,X3))|~c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_626, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))). % 0.19/0.51 cnf(i_0_817, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))). % 0.19/0.51 cnf(i_0_639, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3)))). % 0.19/0.51 cnf(i_0_513, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)))). % 0.19/0.51 cnf(i_0_640, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)))). % 0.19/0.51 cnf(i_0_491, plain, (c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_825, plain, (c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_824, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))). % 0.19/0.51 cnf(i_0_578, plain, (hBOOL(c_in(hAPP(X1,X2),X3,X4))|~hBOOL(c_in(X2,X5,X6))|~c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_601, plain, (c_lessequals(hAPP(X1,X2),X3,tc_fun(X4,tc_bool))|~hBOOL(c_in(X2,X5,X6))|~c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X1,X6,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_715, plain, (c_Map_Omap__add(X2,X4,X1,X3)=c_Map_Omap__add(X4,X2,X1,X3)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Map_Odom(X2,X1,X3)),c_Map_Odom(X4,X1,X3))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))). % 0.19/0.51 cnf(i_0_656, plain, (hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))|~hBOOL(c_in(X1,X2,X3)))). % 0.19/0.51 cnf(i_0_657, plain, (hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))|~hBOOL(c_in(X1,X2,X3)))). % 0.19/0.51 cnf(i_0_658, plain, (hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))|~hBOOL(c_in(X2,X3,X4)))). % 0.19/0.51 cnf(i_0_659, plain, (hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))|~hBOOL(c_in(X2,X3,X4)))). % 0.19/0.51 cnf(i_0_701, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~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)))). % 0.19/0.51 cnf(i_0_847, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2))))). % 0.19/0.51 cnf(i_0_647, plain, (hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))|~hBOOL(c_in(hAPP(X2,X1),X3,X5)))). % 0.19/0.51 cnf(i_0_648, plain, (hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))|~hBOOL(c_in(hAPP(X2,X1),X3,X5)))). % 0.19/0.51 cnf(i_0_649, plain, (hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))|~hBOOL(c_in(hAPP(X2,X1),X3,X5)))). % 0.19/0.51 cnf(i_0_721, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~hBOOL(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)))). % 0.19/0.51 cnf(i_0_722, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~hBOOL(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)))). % 0.19/0.51 cnf(i_0_596, plain, (c_Map_Omap__le(X1,X2,X3,X4)|~c_Map_Omap__le(c_Map_Omap__add(X5,X1,X3,X4),X2,X3,X4))). % 0.19/0.51 cnf(i_0_654, plain, (hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))|~hBOOL(c_in(X6,X1,X3))|~hBOOL(hAPP(hAPP(X2,X6),X5)))). % 0.19/0.51 cnf(i_0_655, plain, (hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))|~hBOOL(c_in(X6,X1,X3))|~hBOOL(hAPP(hAPP(X2,X6),X5)))). % 0.19/0.51 cnf(i_0_590, plain, (c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool))=c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4))). % 0.19/0.51 cnf(i_0_514, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool))=c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4))). % 0.19/0.51 cnf(i_0_828, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))=c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5))). % 0.19/0.51 cnf(i_0_886, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(X2)),X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Option_Othe(hAPP(c_Com_Obody,X2),tc_Com_Ocom)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))). % 0.19/0.51 cnf(i_0_614, plain, (c_Map_Omap__add(c_Map_Omap__add(X1,X2,X4,X5),X3,X4,X5)=c_Map_Omap__add(X1,c_Map_Omap__add(X2,X3,X4,X5),X4,X5))). % 0.19/0.51 cnf(i_0_733, plain, (c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)|c_Map_Omap__add(X1,X2,X3,X4)!=c_Map_Omap__add(X2,X1,X3,X4))). % 0.19/0.51 cnf(i_0_591, plain, (c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)))). % 0.19/0.51 cnf(i_0_815, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X4,X3,tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,X3,tc_fun(X5,tc_bool)))). % 0.19/0.51 cnf(i_0_511, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(X4,c_The(c_Finite__Set_Ofold1Set(X4,X2,X1),X1)),c_The(c_Finite__Set_Ofold1Set(X4,X3,X1),X1))=c_The(c_Finite__Set_Ofold1Set(X4,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool)),X1),X1)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1)|~c_OrderedGroup_Oab__semigroup__mult(X4,X1))). % 0.19/0.51 cnf(i_0_645, plain, (hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5))|~hBOOL(c_in(X6,X2,X4))|~hBOOL(c_in(X1,hAPP(X3,X6),X5)))). % 0.19/0.51 cnf(i_0_646, plain, (hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5))|~hBOOL(c_in(X6,X2,X4))|~hBOOL(c_in(X1,hAPP(X3,X6),X5)))). % 0.19/0.51 cnf(i_0_732, plain, (c_Map_Omap__add(X1,X2,X3,X4)=c_Map_Omap__add(X2,X1,X3,X4)|~c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4))). % 0.19/0.51 cnf(i_0_816, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))). % 0.19/0.51 cnf(i_0_856, plain, (X1=X2|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),X2)))). % 0.19/0.51 cnf(i_0_699, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool))=c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4))). % 0.19/0.51 cnf(i_0_650, plain, (hBOOL(c_in(hAPP(X1,X2),X3,X4))|~hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)))). % 0.19/0.51 cnf(i_0_651, plain, (hBOOL(c_in(hAPP(X1,X2),X3,X4))|~hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)))). % 0.19/0.51 cnf(i_0_881, plain, (hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4)))). % 0.19/0.51 cnf(i_0_523, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2))=c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X5,X2))). % 0.19/0.51 cnf(i_0_526, plain, (c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4)|~c_Map_Omap__le(X2,X5,X3,X4)|~c_Map_Omap__le(X1,X5,X3,X4)|~c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4))). % 0.19/0.51 cnf(i_0_560, 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)))). % 0.19/0.51 cnf(i_0_880, plain, (hAPP(X1,X2)=X3|~hBOOL(c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5)))). % 0.19/0.51 cnf(i_0_877, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(hAPP(c_Com_Obody,X3),tc_Com_Ocom),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5))). % 0.19/0.51 cnf(i_0_875, plain, (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))). % 0.19/0.51 cnf(i_0_531, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2),tc_fun(X1,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X1,tc_bool))))). % 0.19/0.51 cnf(i_0_603, plain, (c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),tc_fun(X5,tc_bool)))). % 0.19/0.51 cnf(i_0_876, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),X1,tc_Hoare__Mirabelle_Otriple(X5)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(hAPP(c_Com_Obody,X3),tc_Com_Ocom),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5))). % 0.19/0.51 cnf(i_0_695, plain, (c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4))). % 0.19/0.51 cnf(i_0_577, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X2,X6))). % 0.19/0.51 cnf(i_0_689, plain, (X1=X2|~c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X5))). % 0.19/0.51 cnf(i_0_662, plain, (hBOOL(c_in(X2,X3,X4))|hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,X3,X4),X4),X5))|~c_Finite__Set_Ofold__graph(X1,X2,X3,X5,X4,X4))). % 0.19/0.51 cnf(i_0_839, plain, (hBOOL(c_in(X3,X4,X5))|c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X3),X6),X5,X7)|~c_Finite__Set_Ofold__graph(X1,X2,X4,X6,X5,X7))). % 0.19/0.51 cnf(i_0_663, plain, (hBOOL(c_in(X3,X4,X5))|c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X2),X6),X5,X5)|~c_OrderedGroup_Oab__semigroup__mult(X1,X5)|~c_Finite__Set_Ofold__graph(X1,X3,X4,X6,X5,X5))). % 0.19/0.51 cnf(i_0_720, plain, (c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)|~hBOOL(c_in(X4,X3,X6))|~c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7))). % 0.19/0.51 cnf(i_0_665, plain, (hBOOL(c_in(X3,X4,X5))|c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5),X6,X5,X5)|~c_OrderedGroup_Oab__semigroup__mult(X1,X5)|~hBOOL(c_in(X2,X4,X5))|~c_Finite__Set_Ofold__graph(X1,X3,X4,X6,X5,X5))). % 0.19/0.51 cnf(i_0_677, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2))). % 0.19/0.51 cnf(i_0_676, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2))). % 0.19/0.51 cnf(i_0_706, plain, (hAPP(X1,c_Set_Oinsert(X2,X3,X4))=hAPP(hAPP(X5,X2),hAPP(X1,X3))|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4))). % 0.19/0.51 cnf(i_0_705, plain, (hAPP(X1,c_Set_Oinsert(X2,X3,X4))=hAPP(hAPP(X5,X2),hAPP(X1,X3))|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4))). % 0.19/0.51 cnf(i_0_845, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))=X2|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3))). % 0.19/0.51 cnf(i_0_844, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))=X2|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3))). % 0.19/0.51 cnf(i_0_653, plain, (hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))|~hBOOL(c_in(X2,X4,X5))|~c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5))). % 0.19/0.51 cnf(i_0_652, plain, (hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))|~hBOOL(c_in(X4,X3,X5))|~c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5))). % 0.19/0.51 cnf(i_0_853, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))=hAPP(hAPP(X5,X2),X3)|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4))). % 0.19/0.51 cnf(i_0_852, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))=hAPP(hAPP(X5,X2),X3)|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4))). % 0.19/0.51 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.51 # Begin printing tableau % 0.19/0.51 # Found 6 steps % 0.19/0.51 cnf(i_0_931, negated_conjecture, (c_Hoare__Mirabelle_Ostate__not__singleton), inference(start_rule)). % 0.19/0.51 cnf(i_0_976, plain, (c_Hoare__Mirabelle_Ostate__not__singleton), inference(extension_rule, [i_0_901])). % 0.19/0.51 cnf(i_0_3158, plain, (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)), inference(closure_rule, [i_0_935])). % 0.19/0.51 cnf(i_0_3159, plain, (~c_Com_OWT__bodies), inference(closure_rule, [i_0_932])). % 0.19/0.51 cnf(i_0_3161, plain, (~c_Com_OWT(c_Com_Ocom_OBODY(v_x))), inference(extension_rule, [i_0_884])). % 0.19/0.51 cnf(i_0_3170, plain, (c_Option_Ooption_ONone(tc_Com_Ocom)=hAPP(c_Com_Obody,v_x)), inference(etableau_closure_rule, [i_0_3170, ...])). % 0.19/0.51 # End printing tableau % 0.19/0.51 # SZS output end % 0.19/0.51 # Branches closed with saturation will be marked with an "s" % 0.19/0.51 # Child (26245) has found a proof. % 0.19/0.51 % 0.19/0.51 # Proof search is over... % 0.19/0.51 # Freeing feature tree %------------------------------------------------------------------------------