%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL788-1 : TPTP v9.3.1. 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 : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:01:59 PM UTC 2026 % Result : Unsatisfiable 0.11s 0.43s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL788-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.07/0.34 % Computer : n004.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Sun Sep 6 00:18:00 UTC 2026 % 0.07/0.34 % CPUTime : % 0.11/0.39 # No SInE strategy applied % 0.11/0.39 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y % 0.11/0.39 # and selection function SelectMaxLComplexAvoidPosPred. % 0.11/0.39 # % 0.11/0.39 # Presaturation interreduction done % 0.11/0.39 # Number of axioms: 241 Number of unprocessed: 185 % 0.11/0.39 # Tableaux proof search. % 0.11/0.39 # APR header successfully linked. % 0.11/0.39 # Hello from C++ % 0.11/0.41 # The folding up rule is enabled... % 0.11/0.41 # Local unification is enabled... % 0.11/0.41 # Any saturation attempts will use folding labels... % 0.11/0.41 # 185 beginning clauses after preprocessing and clausification % 0.11/0.41 # Creating start rules for all 1 conjectures. % 0.11/0.41 # There are 1 start rule candidates: % 0.11/0.41 # Found 74 unit axioms. % 0.11/0.41 # 1 start rule tableaux created. % 0.11/0.41 # 111 extension rule candidate clauses % 0.11/0.41 # 74 unit axiom clauses % 0.11/0.41 % 0.11/0.41 # Requested 8, 32 cores available to the main process. % 0.11/0.41 # There are not enough tableaux to fork, creating more from the initial 1 % 0.11/0.41 # Returning from population with 32 new_tableaux and 0 remaining starting tableaux. % 0.11/0.41 # We now have 32 tableaux to operate on % 0.11/0.43 # There were 1 total branch saturation attempts. % 0.11/0.43 # There were 0 of these attempts blocked. % 0.11/0.43 # There were 0 deferred branch saturation attempts. % 0.11/0.43 # There were 0 free duplicated saturations. % 0.11/0.43 # There were 1 total successful branch saturations. % 0.11/0.43 # There were 0 successful branch saturations in interreduction. % 0.11/0.43 # There were 0 successful branch saturations on the branch. % 0.11/0.43 # There were 1 successful branch saturations after the branch. % 0.11/0.43 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.43 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.43 # Begin clausification derivation % 0.11/0.43 % 0.11/0.43 # End clausification derivation % 0.11/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.11/0.43 cnf(i_0_437, plain, (v_n____=v_i____)). % 0.11/0.43 cnf(i_0_247, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_ua______)))). % 0.11/0.43 cnf(i_0_354, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_u____)))). % 0.11/0.43 cnf(i_0_263, plain, (c_Type_Otyping(v_ea______,v_ua______,v_T____))). % 0.11/0.43 cnf(i_0_410, plain, (c_Type_Otyping(v_e____,v_u____,v_T____))). % 0.11/0.43 cnf(i_0_338, plain, (c_List_Orev(c_List_Orev(X1,X2),X2)=X1)). % 0.11/0.43 cnf(i_0_483, plain, (c_fequal(X1,X1,X2))). % 0.11/0.43 cnf(i_0_357, plain, (c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)=v_rs____)). % 0.11/0.43 cnf(i_0_306, plain, (c_List_Orev(c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))). % 0.11/0.43 cnf(i_0_308, plain, (c_List_Obutlast(c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))). % 0.11/0.43 cnf(i_0_333, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))))). % 0.11/0.43 cnf(i_0_313, plain, (c_List_Otl(c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))). % 0.11/0.43 cnf(i_0_343, plain, (c_List_Orotate1(c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))). % 0.11/0.43 cnf(i_0_262, plain, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2))). % 0.11/0.43 cnf(i_0_432, plain, (c_List_Oappend(X1,c_List_Olist_ONil(X2),X2)=X1)). % 0.11/0.43 cnf(i_0_431, plain, (c_List_Oappend(c_List_Olist_ONil(X1),X2,X1)=X2)). % 0.11/0.43 cnf(i_0_281, plain, (c_List_Osplice(X1,c_List_Olist_ONil(X2),X2)=X1)). % 0.11/0.43 cnf(i_0_311, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2)). % 0.11/0.43 cnf(i_0_280, plain, (c_List_Osplice(c_List_Olist_ONil(X1),X2,X1)=X2)). % 0.11/0.43 cnf(i_0_444, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____))). % 0.11/0.43 cnf(i_0_245, plain, (c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=c_List_Olist_ONil(X2))). % 0.11/0.43 cnf(i_0_264, plain, (c_List_OdropWhile(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2))). % 0.11/0.43 cnf(i_0_409, plain, (c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____))). % 0.11/0.43 cnf(i_0_312, plain, (c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2))). % 0.11/0.43 cnf(i_0_356, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1)). % 0.11/0.43 cnf(i_0_304, plain, (c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3)=X1)). % 0.11/0.43 cnf(i_0_322, plain, (c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3)=X2)). % 0.11/0.43 cnf(i_0_426, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)))). % 0.11/0.43 cnf(i_0_319, plain, (c_List_Oconcat__map(X1,c_List_Olist_ONil(X2),X2,X3)=c_List_Olist_ONil(X3))). % 0.11/0.43 cnf(i_0_438, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3)). % 0.11/0.43 cnf(i_0_329, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)). % 0.11/0.43 cnf(i_0_413, plain, (c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OAtom(X3),X4)=hAPP(X1,X3))). % 0.11/0.43 cnf(i_0_445, plain, (c_Type_Otype_Otype__rec(X1,X2,c_Type_Otype_OAtom(X3),X4)=hAPP(X1,X3))). % 0.11/0.43 cnf(i_0_293, plain, (c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)=X1)). % 0.11/0.43 cnf(i_0_334, plain, (c_List_Orev(c_List_Oreplicate(X1,X2,X3),X3)=c_List_Oreplicate(X1,X2,X3))). % 0.11/0.43 cnf(i_0_294, plain, (c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)=c_List_Olist_ONil(X2))). % 0.11/0.43 cnf(i_0_476, plain, (c_Type_Otype_Otype__case(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),X5)=hAPP(hAPP(X2,X3),X4))). % 0.11/0.43 cnf(i_0_259, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X1,X6),X5))). % 0.11/0.43 cnf(i_0_472, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))))). % 0.11/0.43 cnf(i_0_300, plain, (c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)=c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2))). % 0.11/0.43 cnf(i_0_363, plain, (c_List_Oappend(c_List_Orev(X1,X2),c_List_Orev(X3,X2),X2)=c_List_Orev(c_List_Oappend(X3,X1,X2),X2))). % 0.11/0.43 cnf(i_0_473, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)))). % 0.11/0.43 cnf(i_0_278, plain, (c_List_Oappend(c_List_OtakeWhile(X1,X2,X3),c_List_OdropWhile(X1,X2,X3),X3)=X2)). % 0.11/0.43 cnf(i_0_335, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X1,X2)),c_Lambda_Olift(X3,X2))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2))). % 0.11/0.43 cnf(i_0_404, plain, (c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3)=X2)). % 0.11/0.43 cnf(i_0_403, plain, (c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3)=X1)). % 0.11/0.43 cnf(i_0_422, plain, (c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3)=c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3))). % 0.11/0.43 cnf(i_0_462, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3))). % 0.11/0.43 cnf(i_0_411, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____))). % 0.11/0.43 cnf(i_0_303, plain, (c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______))). % 0.11/0.43 cnf(i_0_398, plain, (c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)=c_List_Orev(c_List_Olist_OCons(X3,X1,X2),X2))). % 0.11/0.43 cnf(i_0_305, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X4,X2,X3))=c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X4),X2,X3))). % 0.11/0.43 cnf(i_0_364, plain, (c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X4,X5),X6,X4,X5)=c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X6,X5),X4,X5))). % 0.11/0.43 cnf(i_0_269, plain, (c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)=c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3))). % 0.11/0.43 cnf(i_0_371, plain, (c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,X4,X3),X3)=c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X1,X2,X3),X4,X3),X3))). % 0.11/0.43 cnf(i_0_360, plain, (c_List_Ofoldl(c_COMBC(c_COMBC(X1,X2,X3,X2),X3,X2,X2),X4,X5,X2,X3)=c_List_Ofoldl(X1,X4,X5,X2,X3))). % 0.11/0.43 cnf(i_0_283, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))). % 0.11/0.43 cnf(i_0_475, plain, (hAPP(hAPP(hAPP(hAPP(X1,X2),X3),c_Type_Otype_Otype__rec(X4,X1,X2,X5)),c_Type_Otype_Otype__rec(X4,X1,X3,X5))=c_Type_Otype_Otype__rec(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),X5))). % 0.11/0.43 cnf(i_0_394, plain, (c_List_Orotate1(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3))). % 0.11/0.43 cnf(i_0_321, plain, (c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X2,X3),X3)=c_List_Oappend(c_List_Oreplicate(X4,X2,X3),c_List_Oreplicate(X1,X2,X3),X3))). % 0.11/0.43 cnf(i_0_349, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5)=c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5))). % 0.11/0.43 cnf(i_0_366, plain, (c_List_Oconcat__map(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5)=c_List_Oappend(hAPP(X1,X2),c_List_Oconcat__map(X1,X3,X4,X5),X5))). % 0.11/0.43 cnf(i_0_468, plain, (c_List_Ofoldl(c_COMBC(X1,X2,X3,X3),X4,c_List_Orev(c_List_Olist_OCons(X5,X6,X2),X2),X3,X2)=hAPP(hAPP(X1,X5),c_List_Ofoldl(c_COMBC(X1,X2,X3,X3),X4,c_List_Orev(X6,X2),X3,X2)))). % 0.11/0.43 cnf(i_0_482, negated_conjecture, (hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))!=v_T____)). % 0.11/0.43 cnf(i_0_285, plain, (c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OAbs(X2))). % 0.11/0.43 cnf(i_0_416, plain, (c_List_Olist_OCons(X1,X2,X3)!=X2)). % 0.11/0.43 cnf(i_0_448, plain, (c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_ONil(X3))). % 0.11/0.43 cnf(i_0_479, plain, (c_Type_Otype_OAtom(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X3))). % 0.11/0.43 cnf(i_0_282, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))). % 0.11/0.44 cnf(i_0_443, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))). % 0.11/0.44 cnf(i_0_330, plain, (~c_ListOrder_Ostep1(X1,X2,c_List_Olist_ONil(X3),X3))). % 0.11/0.44 cnf(i_0_331, plain, (~c_ListOrder_Ostep1(X1,c_List_Olist_ONil(X2),X3,X2))). % 0.11/0.44 cnf(i_0_361, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_327, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_268, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))). % 0.11/0.44 cnf(i_0_457, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))). % 0.11/0.44 cnf(i_0_484, plain, (X1=X2|~c_fequal(X1,X2,X3))). % 0.11/0.44 cnf(i_0_435, plain, (X1=X2|c_Type_Otype_OAtom(X1)!=c_Type_Otype_OAtom(X2))). % 0.11/0.44 cnf(i_0_316, plain, (X1=c_List_Olist_ONil(X2)|c_List_Orev(X1,X2)!=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_339, plain, (X1=c_List_Olist_ONil(X2)|c_List_Orotate1(X1,X2)!=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_318, plain, (X1=X2|c_List_Orev(X1,X3)!=c_List_Orev(X2,X3))). % 0.11/0.44 cnf(i_0_467, plain, (X1=X2|hAPP(hAPP(c_Type_Otype_OFun,X3),X1)!=hAPP(hAPP(c_Type_Otype_OFun,X4),X2))). % 0.11/0.44 cnf(i_0_466, plain, (X1=X2|hAPP(hAPP(c_Type_Otype_OFun,X1),X3)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X4))). % 0.11/0.44 cnf(i_0_453, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X1,X3,X2)!=X3)). % 0.11/0.44 cnf(i_0_451, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X3,X1,X2)!=X3)). % 0.11/0.44 cnf(i_0_440, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X3,X1,X2)!=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_439, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X1,X3,X2)!=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_332, plain, (c_List_Ohd(c_List_Orev(X1,X2),X2)=c_List_Olast(X1,X2)|X1=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_436, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3))). % 0.11/0.44 cnf(i_0_456, plain, (X1=X2|c_List_Olist_OCons(X3,X1,X4)!=c_List_Olist_OCons(X5,X2,X4))). % 0.11/0.44 cnf(i_0_446, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2))). % 0.11/0.44 cnf(i_0_447, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4))). % 0.11/0.44 cnf(i_0_344, plain, (c_List_Olast(c_List_Orev(X1,X2),X2)=c_List_Ohd(X1,X2)|X1=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_429, plain, (X1=X2|c_List_Oappend(X3,X1,X4)!=c_List_Oappend(X3,X2,X4))). % 0.11/0.44 cnf(i_0_340, plain, (X1=X2|c_List_Oreplicate(X1,X3,X4)!=c_List_Oreplicate(X2,X5,X4))). % 0.11/0.44 cnf(i_0_455, plain, (X1=X2|c_List_Olist_OCons(X1,X3,X4)!=c_List_Olist_OCons(X2,X5,X4))). % 0.11/0.44 cnf(i_0_428, plain, (X1=X2|c_List_Oappend(X1,X3,X4)!=c_List_Oappend(X2,X3,X4))). % 0.11/0.44 cnf(i_0_261, plain, (c_List_Olistsp(X1,X2,X3)|~c_List_Olistsp(X1,c_List_Oappend(X4,X2,X3),X3))). % 0.11/0.44 cnf(i_0_260, plain, (c_List_Olistsp(X1,X2,X3)|~c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3))). % 0.11/0.44 cnf(i_0_243, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Oreplicate(X1,X2,X3)!=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_254, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_265, plain, (c_List_OdropWhile(X1,X2,X3)!=c_List_Olist_OCons(X4,X5,X3)|~hBOOL(hAPP(X1,X4)))). % 0.11/0.44 cnf(i_0_427, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Type_Osko__Type__Xtype__induct__1__1(X1))))). % 0.11/0.44 cnf(i_0_271, plain, (X1=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OAbs(X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_359, plain, (X1=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OVar(X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_276, plain, (X1=c_Lambda_OdB_OAbs(X2)|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(X2))). % 0.11/0.44 cnf(i_0_380, plain, (c_Lambda_OdB_OVar(X1)=X2|c_Lambda_OdB_OVar(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_328, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_352, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_256, plain, (c_List_OdropWhile(X1,X2,X3)=c_List_Olist_ONil(X3)|~hBOOL(hAPP(X1,c_List_Ohd(c_List_OdropWhile(X1,X2,X3),X3))))). % 0.11/0.44 cnf(i_0_246, plain, (c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3)=X2|X1=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.11/0.44 cnf(i_0_469, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|c_Type_Osko__Type__Xtype__induct__1__1(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X4),X2))). % 0.11/0.44 cnf(i_0_249, plain, (c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3)=X2|X1=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.11/0.44 cnf(i_0_295, plain, (X1=c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)|c_List_Orev(X1,X3)!=c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3))). % 0.11/0.44 cnf(i_0_342, plain, (X1=X2|X3=X4|~c_ListOrder_Ostep1(X5,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X1,X3,X6),X6))). % 0.11/0.44 cnf(i_0_379, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_470, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|c_Type_Osko__Type__Xtype__induct__1__1(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X4))). % 0.11/0.44 cnf(i_0_274, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_381, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_275, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_382, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_314, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_299, plain, (c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olast(X2,X3)|X2=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_375, plain, (c_List_Olast(c_List_Oappend(X1,X2,X3),X3)=c_List_Olast(X2,X3)|X2=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_252, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_List_Oreplicate(X1,X2,X4)!=c_List_Oreplicate(X5,X3,X4))). % 0.11/0.44 cnf(i_0_279, plain, (c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)|~c_List_Olistsp(X1,X3,X4)|~c_List_Olistsp(X1,X2,X4))). % 0.11/0.44 cnf(i_0_459, plain, (X1=X2|c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4)!=c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4))). % 0.11/0.44 cnf(i_0_458, plain, (X1=X2|c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4)!=c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4))). % 0.11/0.44 cnf(i_0_372, plain, (c_List_Ohd(c_List_Oappend(X1,X2,X3),X3)=c_List_Ohd(X1,X3)|X1=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_296, plain, (c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_ONil(X4)|hBOOL(hAPP(X1,X2)))). % 0.11/0.44 cnf(i_0_323, plain, (X1=X2|c_ListOrder_Ostep1(X3,X1,X2,X4)|~c_ListOrder_Ostep1(X3,c_List_Olist_OCons(X5,X1,X4),c_List_Olist_OCons(X6,X2,X4),X4))). % 0.11/0.44 cnf(i_0_288, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X3),X4))|~c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_Type_Otype),X2,X4))). % 0.11/0.44 cnf(i_0_292, plain, (c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3)|X2=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_383, plain, (c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2),X3))). % 0.11/0.44 cnf(i_0_272, plain, (c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_OdropWhile(X1,X3,X4)|~hBOOL(hAPP(X1,X2)))). % 0.11/0.44 cnf(i_0_320, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))|~c_List_Olistsp(c_InductTermi_OIT,X2,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_378, plain, (c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3)=c_List_Oappend(X1,c_List_Obutlast(X2,X3),X3)|X2=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_315, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_348, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_374, plain, (c_List_Otl(c_List_Oappend(X1,X2,X3),X3)=c_List_Oappend(c_List_Otl(X1,X3),X2,X3)|X1=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_388, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)|~c_Type_Otyping(X1,X4,X5))). % 0.11/0.44 cnf(i_0_273, plain, (c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,X3,X4)|hBOOL(hAPP(X1,X2)))). % 0.11/0.44 cnf(i_0_351, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X2),X1))|~c_ListOrder_Ostep1(X3,c_List_Olist_OCons(X2,X4,X5),c_List_Olist_OCons(X1,X6,X5),X5))). % 0.11/0.44 cnf(i_0_302, plain, (c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2)=X1|X1=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_307, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_248, plain, (c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtypes__snocE__1__2(X3,X1,X2,X4))|~c_Type_Otypings(X1,c_List_Oappend(X4,c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_355, plain, (c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)|~hBOOL(hAPP(X1,X2)))). % 0.11/0.44 cnf(i_0_407, plain, (X1=X2|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X2)|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1))). % 0.11/0.44 cnf(i_0_408, plain, (c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3))). % 0.11/0.44 cnf(i_0_341, plain, (c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4)|~hBOOL(hAPP(hAPP(X1,X2),X5)))). % 0.11/0.44 cnf(i_0_449, plain, (c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)|~c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X5),X4))|~c_Type_Otyping(X1,X3,X5))). % 0.11/0.44 cnf(i_0_350, plain, (c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2)=c_List_Orotate1(X1,X2)|X1=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_309, plain, (c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)|~c_ListOrder_Ostep1(X1,X3,X5,X4))). % 0.11/0.44 cnf(i_0_346, plain, (c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4)|~c_ListOrder_Ostep1(X1,X2,X5,X4))). % 0.11/0.44 cnf(i_0_345, plain, (c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X2,X5,X4),X4)|~c_ListOrder_Ostep1(X1,X3,X5,X4))). % 0.11/0.44 cnf(i_0_310, plain, (c_ListOrder_Ostep1(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(X1,X5),X6))|~c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X6,X3,X4),X4))). % 0.11/0.44 cnf(i_0_368, plain, (c_List_OtakeWhile(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,X4,X5),X5),X5)=c_List_OtakeWhile(X1,X2,X5)|hBOOL(hAPP(X1,X3)))). % 0.11/0.44 cnf(i_0_396, plain, (X1=c_List_Orev(c_List_Olist_OCons(X2,X3,X4),X4)|c_List_Orev(X1,X4)!=c_List_Olist_OCons(X2,X3,X4))). % 0.11/0.44 cnf(i_0_326, plain, (c_List_Oappend(c_List_OtakeWhile(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)=X2|c_List_OdropWhile(X1,X2,X3)!=c_List_Olist_OCons(X4,X5,X3))). % 0.11/0.44 cnf(i_0_384, plain, (c_Type_Otyping(X1,X2,c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X3,c_List_Orev(c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X2,X4),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_386, plain, (c_Type_Otyping(X1,X2,c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X3,c_List_Orev(c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X1,X2,X4),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_402, plain, (X1=X2|X3=X4|~c_ListOrder_Ostep1(X5,c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X6),X6),X6),c_List_Oappend(X2,c_List_Olist_OCons(X4,c_List_Olist_ONil(X6),X6),X6),X6))). % 0.11/0.44 cnf(i_0_387, plain, (c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)|~c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)|~c_Type_Otyping(X1,X3,X6))). % 0.11/0.44 cnf(i_0_325, plain, (c_List_OdropWhile(X1,X2,X3)=c_List_Olist_OCons(X4,X5,X3)|hBOOL(hAPP(X1,X4))|c_List_Oappend(c_List_OtakeWhile(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)!=X2)). % 0.11/0.44 cnf(i_0_393, plain, (X1=X2|c_ListOrder_Ostep1(X3,X1,X2,X4)|~c_ListOrder_Ostep1(X3,c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X2,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4))). % 0.11/0.44 cnf(i_0_405, plain, (c_List_Olist_OCons(X1,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X3,X4,X5),X5)=X3|X3=c_List_Olist_ONil(X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_406, plain, (c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X3,X4,X5),X4,X5)=X2|X3=c_List_Olist_ONil(X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_399, plain, (c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X3,X4,X5),X5)=X3|X3=c_List_Olist_ONil(X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_400, plain, (c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X3,X4,X5),X4,X5)=X2|X3=c_List_Olist_ONil(X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_401, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X1),X2))|~c_ListOrder_Ostep1(X3,c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X6,c_List_Olist_OCons(X2,c_List_Olist_ONil(X5),X5),X5),X5))). % 0.11/0.44 cnf(i_0_369, plain, (c_List_Olist_OCons(X1,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X3,X4,X5),X5)=X3|X4=c_List_Olist_OCons(X1,X2,X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_291, plain, (c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X3,X4,X5),X4,X5)=X2|X4=c_List_Olist_OCons(X1,X2,X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_370, plain, (c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X3,X4,X5),X4,X5)=X2|c_List_Olist_OCons(X1,X2,X5)=X4|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_391, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X3,c_List_Orev(c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X1,X2,X4),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_385, plain, (c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)|~c_Type_Otypings(X1,X3,X5)|~c_Type_Otyping(X1,X2,c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X4,c_List_Orev(X5,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)))). % 0.11/0.44 cnf(i_0_290, plain, (c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X3,X4,X5),X5)=X3|c_List_Olist_OCons(X1,X2,X5)=X4|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_324, plain, (c_List_Olist_OCons(X1,c_List_Olist_OCons(c_List_Ohd(X2,X3),c_List_Osplice(X4,c_List_Otl(X2,X3),X3),X3),X3)=c_List_Osplice(c_List_Olist_OCons(X1,X4,X3),X2,X3)|X2=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_397, plain, (c_ListOrder_Ostep1(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(X1,X5),X6))|~c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X3,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4))). % 0.11/0.44 cnf(i_0_267, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,X2)))). % 0.11/0.44 cnf(i_0_390, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X2,X3)))|hAPP(hAPP(c_Type_Otype_OFun,X4),X5)!=v_T____|~c_Type_Otyping(c_Type_Oshift(X6,X3,X5,tc_Type_Otype),X1,X7)|~c_Type_Otyping(X6,X2,X5)|~hBOOL(hAPP(c_InductTermi_OIT,X2))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_365, plain, (hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,X4,X5),X5),X5)))|hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X4,X5)))|~hBOOL(hAPP(X1,X3)))). % 0.11/0.44 cnf(i_0_367, plain, (hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,X4,X5),X5),X5)))|hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X2,X5)))|~hBOOL(hAPP(X1,X3)))). % 0.11/0.44 cnf(i_0_389, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X2,X3)))|hAPP(hAPP(c_Type_Otype_OFun,X4),X5)!=v_T____|~c_Type_Otyping(c_Type_Oshift(X6,X3,X4,tc_Type_Otype),X1,X7)|~c_Type_Otyping(X6,X2,X4)|~hBOOL(hAPP(c_InductTermi_OIT,X2))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_353, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xvar__app__types__1__1(X3,X4,X1,X2))|~c_Type_Otypings(X1,X5,X6)|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),c_List_Oappend(X5,X2,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),X3)|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),X5,tc_Lambda_OdB,tc_Lambda_OdB),X4))). % 0.11/0.44 cnf(i_0_301, plain, (c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X1,c_List_Orev(c_Type_Osko__Type__Xvar__app__types__1__1(X1,X2,X3,X4),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)=X2|~c_Type_Otypings(X3,X5,X6)|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),c_List_Oappend(X5,X4,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),X1)|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),X5,tc_Lambda_OdB,tc_Lambda_OdB),X2))). % 0.11/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.11/0.44 # Begin printing tableau % 0.11/0.44 # Found 7 steps % 0.11/0.44 cnf(i_0_482, negated_conjecture, (hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))!=v_T____), inference(start_rule)). % 0.11/0.44 cnf(i_0_485, plain, (hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))!=v_T____), inference(extension_rule, [i_0_402])). % 0.11/0.44 cnf(i_0_670, plain, (c_Lambda_OdB_OVar(X22)=c_Lambda_OdB_OAbs(X21)), inference(closure_rule, [i_0_285])). % 0.11/0.44 cnf(i_0_672, plain, (~c_ListOrder_Ostep1(X9,c_List_Oappend(c_Lambda_OdB_OVar(X22),c_List_Olist_OCons(hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)),c_List_Olist_ONil(X11),X11),X11),c_List_Oappend(c_Lambda_OdB_OAbs(X21),c_List_Olist_OCons(v_T____,c_List_Olist_ONil(X11),X11),X11),X11)), inference(extension_rule, [i_0_323])). % 0.11/0.44 cnf(i_0_865, plain, (c_List_Oappend(c_Lambda_OdB_OVar(X22),c_List_Olist_OCons(hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)),c_List_Olist_ONil(X11),X11),X11)=c_List_Oappend(c_Lambda_OdB_OAbs(X21),c_List_Olist_OCons(v_T____,c_List_Olist_ONil(X11),X11),X11)), inference(extension_rule, [i_0_459])). % 0.11/0.44 cnf(i_0_977, plain, (hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))=v_T____), inference(closure_rule, [i_0_482])). % 0.11/0.44 cnf(i_0_867, plain, (~c_ListOrder_Ostep1(X9,c_List_Olist_OCons(X13,c_List_Oappend(c_Lambda_OdB_OVar(X22),c_List_Olist_OCons(hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)),c_List_Olist_ONil(X11),X11),X11),X11),c_List_Olist_OCons(X14,c_List_Oappend(c_Lambda_OdB_OAbs(X21),c_List_Olist_OCons(v_T____,c_List_Olist_ONil(X11),X11),X11),X11),X11)), inference(etableau_closure_rule, [i_0_867, ...])). % 0.11/0.44 # End printing tableau % 0.11/0.44 # SZS output end % 0.11/0.44 # Branches closed with saturation will be marked with an "s" % 0.11/0.44 # There were 1 total branch saturation attempts. % 0.11/0.44 # There were 0 of these attempts blocked. % 0.11/0.44 # There were 0 deferred branch saturation attempts. % 0.11/0.44 # There were 0 free duplicated saturations. % 0.11/0.44 # There were 1 total successful branch saturations. % 0.11/0.44 # There were 0 successful branch saturations in interreduction. % 0.11/0.44 # There were 0 successful branch saturations on the branch. % 0.11/0.44 # There were 1 successful branch saturations after the branch. % 0.11/0.44 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.44 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.44 # Begin clausification derivation % 0.11/0.44 % 0.11/0.44 # End clausification derivation % 0.11/0.44 # Begin listing active clauses obtained from FOF to CNF conversion % 0.11/0.44 cnf(i_0_437, plain, (v_n____=v_i____)). % 0.11/0.44 cnf(i_0_247, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_ua______)))). % 0.11/0.44 cnf(i_0_354, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_u____)))). % 0.11/0.44 cnf(i_0_263, plain, (c_Type_Otyping(v_ea______,v_ua______,v_T____))). % 0.11/0.44 cnf(i_0_410, plain, (c_Type_Otyping(v_e____,v_u____,v_T____))). % 0.11/0.44 cnf(i_0_338, plain, (c_List_Orev(c_List_Orev(X1,X2),X2)=X1)). % 0.11/0.44 cnf(i_0_483, plain, (c_fequal(X1,X1,X2))). % 0.11/0.44 cnf(i_0_357, plain, (c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)=v_rs____)). % 0.11/0.44 cnf(i_0_306, plain, (c_List_Orev(c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))). % 0.11/0.44 cnf(i_0_308, plain, (c_List_Obutlast(c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))). % 0.11/0.44 cnf(i_0_333, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))))). % 0.11/0.44 cnf(i_0_313, plain, (c_List_Otl(c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))). % 0.11/0.44 cnf(i_0_343, plain, (c_List_Orotate1(c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))). % 0.11/0.44 cnf(i_0_262, plain, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2))). % 0.11/0.44 cnf(i_0_432, plain, (c_List_Oappend(X1,c_List_Olist_ONil(X2),X2)=X1)). % 0.11/0.44 cnf(i_0_431, plain, (c_List_Oappend(c_List_Olist_ONil(X1),X2,X1)=X2)). % 0.11/0.44 cnf(i_0_281, plain, (c_List_Osplice(X1,c_List_Olist_ONil(X2),X2)=X1)). % 0.11/0.44 cnf(i_0_311, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2)). % 0.11/0.44 cnf(i_0_280, plain, (c_List_Osplice(c_List_Olist_ONil(X1),X2,X1)=X2)). % 0.11/0.44 cnf(i_0_444, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____))). % 0.11/0.44 cnf(i_0_245, plain, (c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_264, plain, (c_List_OdropWhile(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_409, plain, (c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____))). % 0.11/0.44 cnf(i_0_312, plain, (c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_356, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1)). % 0.11/0.44 cnf(i_0_304, plain, (c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3)=X1)). % 0.11/0.44 cnf(i_0_322, plain, (c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3)=X2)). % 0.11/0.44 cnf(i_0_426, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)))). % 0.11/0.44 cnf(i_0_319, plain, (c_List_Oconcat__map(X1,c_List_Olist_ONil(X2),X2,X3)=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_438, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3)). % 0.11/0.44 cnf(i_0_329, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)). % 0.11/0.44 cnf(i_0_413, plain, (c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OAtom(X3),X4)=hAPP(X1,X3))). % 0.11/0.44 cnf(i_0_445, plain, (c_Type_Otype_Otype__rec(X1,X2,c_Type_Otype_OAtom(X3),X4)=hAPP(X1,X3))). % 0.11/0.44 cnf(i_0_293, plain, (c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)=X1)). % 0.11/0.44 cnf(i_0_334, plain, (c_List_Orev(c_List_Oreplicate(X1,X2,X3),X3)=c_List_Oreplicate(X1,X2,X3))). % 0.11/0.44 cnf(i_0_294, plain, (c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_476, plain, (c_Type_Otype_Otype__case(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),X5)=hAPP(hAPP(X2,X3),X4))). % 0.11/0.44 cnf(i_0_259, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X1,X6),X5))). % 0.11/0.44 cnf(i_0_472, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))))). % 0.11/0.44 cnf(i_0_300, plain, (c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)=c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2))). % 0.11/0.44 cnf(i_0_363, plain, (c_List_Oappend(c_List_Orev(X1,X2),c_List_Orev(X3,X2),X2)=c_List_Orev(c_List_Oappend(X3,X1,X2),X2))). % 0.11/0.44 cnf(i_0_473, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)))). % 0.11/0.44 cnf(i_0_278, plain, (c_List_Oappend(c_List_OtakeWhile(X1,X2,X3),c_List_OdropWhile(X1,X2,X3),X3)=X2)). % 0.11/0.44 cnf(i_0_335, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X1,X2)),c_Lambda_Olift(X3,X2))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2))). % 0.11/0.44 cnf(i_0_404, plain, (c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3)=X2)). % 0.11/0.44 cnf(i_0_403, plain, (c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3)=X1)). % 0.11/0.44 cnf(i_0_422, plain, (c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3)=c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3))). % 0.11/0.44 cnf(i_0_462, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3))). % 0.11/0.44 cnf(i_0_411, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____))). % 0.11/0.44 cnf(i_0_303, plain, (c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______))). % 0.11/0.44 cnf(i_0_398, plain, (c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)=c_List_Orev(c_List_Olist_OCons(X3,X1,X2),X2))). % 0.11/0.44 cnf(i_0_305, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X4,X2,X3))=c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X4),X2,X3))). % 0.11/0.44 cnf(i_0_364, plain, (c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X4,X5),X6,X4,X5)=c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X6,X5),X4,X5))). % 0.11/0.44 cnf(i_0_269, plain, (c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)=c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3))). % 0.11/0.44 cnf(i_0_371, plain, (c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,X4,X3),X3)=c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X1,X2,X3),X4,X3),X3))). % 0.11/0.44 cnf(i_0_360, plain, (c_List_Ofoldl(c_COMBC(c_COMBC(X1,X2,X3,X2),X3,X2,X2),X4,X5,X2,X3)=c_List_Ofoldl(X1,X4,X5,X2,X3))). % 0.11/0.44 cnf(i_0_283, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))). % 0.11/0.44 cnf(i_0_475, plain, (hAPP(hAPP(hAPP(hAPP(X1,X2),X3),c_Type_Otype_Otype__rec(X4,X1,X2,X5)),c_Type_Otype_Otype__rec(X4,X1,X3,X5))=c_Type_Otype_Otype__rec(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),X5))). % 0.11/0.44 cnf(i_0_394, plain, (c_List_Orotate1(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3))). % 0.11/0.44 cnf(i_0_321, plain, (c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X2,X3),X3)=c_List_Oappend(c_List_Oreplicate(X4,X2,X3),c_List_Oreplicate(X1,X2,X3),X3))). % 0.11/0.44 cnf(i_0_349, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5)=c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5))). % 0.11/0.44 cnf(i_0_366, plain, (c_List_Oconcat__map(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5)=c_List_Oappend(hAPP(X1,X2),c_List_Oconcat__map(X1,X3,X4,X5),X5))). % 0.11/0.44 cnf(i_0_468, plain, (c_List_Ofoldl(c_COMBC(X1,X2,X3,X3),X4,c_List_Orev(c_List_Olist_OCons(X5,X6,X2),X2),X3,X2)=hAPP(hAPP(X1,X5),c_List_Ofoldl(c_COMBC(X1,X2,X3,X3),X4,c_List_Orev(X6,X2),X3,X2)))). % 0.11/0.44 cnf(i_0_482, negated_conjecture, (hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))!=v_T____)). % 0.11/0.44 cnf(i_0_285, plain, (c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OAbs(X2))). % 0.11/0.44 cnf(i_0_416, plain, (c_List_Olist_OCons(X1,X2,X3)!=X2)). % 0.11/0.44 cnf(i_0_448, plain, (c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_479, plain, (c_Type_Otype_OAtom(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X3))). % 0.11/0.44 cnf(i_0_282, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))). % 0.11/0.44 cnf(i_0_443, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))). % 0.11/0.44 cnf(i_0_330, plain, (~c_ListOrder_Ostep1(X1,X2,c_List_Olist_ONil(X3),X3))). % 0.11/0.44 cnf(i_0_331, plain, (~c_ListOrder_Ostep1(X1,c_List_Olist_ONil(X2),X3,X2))). % 0.11/0.44 cnf(i_0_361, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_327, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_268, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))). % 0.11/0.44 cnf(i_0_457, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))). % 0.11/0.44 cnf(i_0_484, plain, (X1=X2|~c_fequal(X1,X2,X3))). % 0.11/0.44 cnf(i_0_435, plain, (X1=X2|c_Type_Otype_OAtom(X1)!=c_Type_Otype_OAtom(X2))). % 0.11/0.44 cnf(i_0_316, plain, (X1=c_List_Olist_ONil(X2)|c_List_Orev(X1,X2)!=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_339, plain, (X1=c_List_Olist_ONil(X2)|c_List_Orotate1(X1,X2)!=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_318, plain, (X1=X2|c_List_Orev(X1,X3)!=c_List_Orev(X2,X3))). % 0.11/0.44 cnf(i_0_467, plain, (X1=X2|hAPP(hAPP(c_Type_Otype_OFun,X3),X1)!=hAPP(hAPP(c_Type_Otype_OFun,X4),X2))). % 0.11/0.44 cnf(i_0_466, plain, (X1=X2|hAPP(hAPP(c_Type_Otype_OFun,X1),X3)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X4))). % 0.11/0.44 cnf(i_0_453, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X1,X3,X2)!=X3)). % 0.11/0.44 cnf(i_0_451, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X3,X1,X2)!=X3)). % 0.11/0.44 cnf(i_0_440, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X3,X1,X2)!=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_439, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X1,X3,X2)!=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_332, plain, (c_List_Ohd(c_List_Orev(X1,X2),X2)=c_List_Olast(X1,X2)|X1=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_436, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3))). % 0.11/0.44 cnf(i_0_456, plain, (X1=X2|c_List_Olist_OCons(X3,X1,X4)!=c_List_Olist_OCons(X5,X2,X4))). % 0.11/0.44 cnf(i_0_446, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2))). % 0.11/0.44 cnf(i_0_447, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4))). % 0.11/0.44 cnf(i_0_344, plain, (c_List_Olast(c_List_Orev(X1,X2),X2)=c_List_Ohd(X1,X2)|X1=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_429, plain, (X1=X2|c_List_Oappend(X3,X1,X4)!=c_List_Oappend(X3,X2,X4))). % 0.11/0.44 cnf(i_0_340, plain, (X1=X2|c_List_Oreplicate(X1,X3,X4)!=c_List_Oreplicate(X2,X5,X4))). % 0.11/0.44 cnf(i_0_455, plain, (X1=X2|c_List_Olist_OCons(X1,X3,X4)!=c_List_Olist_OCons(X2,X5,X4))). % 0.11/0.44 cnf(i_0_428, plain, (X1=X2|c_List_Oappend(X1,X3,X4)!=c_List_Oappend(X2,X3,X4))). % 0.11/0.44 cnf(i_0_261, plain, (c_List_Olistsp(X1,X2,X3)|~c_List_Olistsp(X1,c_List_Oappend(X4,X2,X3),X3))). % 0.11/0.44 cnf(i_0_260, plain, (c_List_Olistsp(X1,X2,X3)|~c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3))). % 0.11/0.44 cnf(i_0_243, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Oreplicate(X1,X2,X3)!=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_254, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_265, plain, (c_List_OdropWhile(X1,X2,X3)!=c_List_Olist_OCons(X4,X5,X3)|~hBOOL(hAPP(X1,X4)))). % 0.11/0.44 cnf(i_0_427, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Type_Osko__Type__Xtype__induct__1__1(X1))))). % 0.11/0.44 cnf(i_0_271, plain, (X1=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OAbs(X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_359, plain, (X1=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OVar(X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_276, plain, (X1=c_Lambda_OdB_OAbs(X2)|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(X2))). % 0.11/0.44 cnf(i_0_380, plain, (c_Lambda_OdB_OVar(X1)=X2|c_Lambda_OdB_OVar(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_328, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_352, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_256, plain, (c_List_OdropWhile(X1,X2,X3)=c_List_Olist_ONil(X3)|~hBOOL(hAPP(X1,c_List_Ohd(c_List_OdropWhile(X1,X2,X3),X3))))). % 0.11/0.44 cnf(i_0_246, plain, (c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3)=X2|X1=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.11/0.44 cnf(i_0_469, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|c_Type_Osko__Type__Xtype__induct__1__1(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X4),X2))). % 0.11/0.44 cnf(i_0_249, plain, (c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3)=X2|X1=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.11/0.44 cnf(i_0_295, plain, (X1=c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)|c_List_Orev(X1,X3)!=c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3))). % 0.11/0.44 cnf(i_0_342, plain, (X1=X2|X3=X4|~c_ListOrder_Ostep1(X5,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X1,X3,X6),X6))). % 0.11/0.44 cnf(i_0_379, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_470, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|c_Type_Osko__Type__Xtype__induct__1__1(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X4))). % 0.11/0.44 cnf(i_0_274, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_381, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_275, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_382, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_314, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_299, plain, (c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olast(X2,X3)|X2=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_375, plain, (c_List_Olast(c_List_Oappend(X1,X2,X3),X3)=c_List_Olast(X2,X3)|X2=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_252, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_List_Oreplicate(X1,X2,X4)!=c_List_Oreplicate(X5,X3,X4))). % 0.11/0.44 cnf(i_0_279, plain, (c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)|~c_List_Olistsp(X1,X3,X4)|~c_List_Olistsp(X1,X2,X4))). % 0.11/0.44 cnf(i_0_459, plain, (X1=X2|c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4)!=c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4))). % 0.11/0.44 cnf(i_0_458, plain, (X1=X2|c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4)!=c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4))). % 0.11/0.44 cnf(i_0_372, plain, (c_List_Ohd(c_List_Oappend(X1,X2,X3),X3)=c_List_Ohd(X1,X3)|X1=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_296, plain, (c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_ONil(X4)|hBOOL(hAPP(X1,X2)))). % 0.11/0.44 cnf(i_0_323, plain, (X1=X2|c_ListOrder_Ostep1(X3,X1,X2,X4)|~c_ListOrder_Ostep1(X3,c_List_Olist_OCons(X5,X1,X4),c_List_Olist_OCons(X6,X2,X4),X4))). % 0.11/0.44 cnf(i_0_288, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X3),X4))|~c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_Type_Otype),X2,X4))). % 0.11/0.44 cnf(i_0_292, plain, (c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3)|X2=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_383, plain, (c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2),X3))). % 0.11/0.44 cnf(i_0_272, plain, (c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_OdropWhile(X1,X3,X4)|~hBOOL(hAPP(X1,X2)))). % 0.11/0.44 cnf(i_0_320, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))|~c_List_Olistsp(c_InductTermi_OIT,X2,tc_Lambda_OdB))). % 0.11/0.44 cnf(i_0_378, plain, (c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3)=c_List_Oappend(X1,c_List_Obutlast(X2,X3),X3)|X2=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_315, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_348, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_374, plain, (c_List_Otl(c_List_Oappend(X1,X2,X3),X3)=c_List_Oappend(c_List_Otl(X1,X3),X2,X3)|X1=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_388, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)|~c_Type_Otyping(X1,X4,X5))). % 0.11/0.44 cnf(i_0_273, plain, (c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,X3,X4)|hBOOL(hAPP(X1,X2)))). % 0.11/0.44 cnf(i_0_351, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X2),X1))|~c_ListOrder_Ostep1(X3,c_List_Olist_OCons(X2,X4,X5),c_List_Olist_OCons(X1,X6,X5),X5))). % 0.11/0.44 cnf(i_0_302, plain, (c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2)=X1|X1=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_307, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_248, plain, (c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtypes__snocE__1__2(X3,X1,X2,X4))|~c_Type_Otypings(X1,c_List_Oappend(X4,c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_355, plain, (c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)|~hBOOL(hAPP(X1,X2)))). % 0.11/0.44 cnf(i_0_407, plain, (X1=X2|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X2)|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1))). % 0.11/0.44 cnf(i_0_408, plain, (c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3))). % 0.11/0.44 cnf(i_0_341, plain, (c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4)|~hBOOL(hAPP(hAPP(X1,X2),X5)))). % 0.11/0.44 cnf(i_0_449, plain, (c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)|~c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X5),X4))|~c_Type_Otyping(X1,X3,X5))). % 0.11/0.44 cnf(i_0_350, plain, (c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2)=c_List_Orotate1(X1,X2)|X1=c_List_Olist_ONil(X2))). % 0.11/0.44 cnf(i_0_309, plain, (c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)|~c_ListOrder_Ostep1(X1,X3,X5,X4))). % 0.11/0.44 cnf(i_0_346, plain, (c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4)|~c_ListOrder_Ostep1(X1,X2,X5,X4))). % 0.11/0.44 cnf(i_0_345, plain, (c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X2,X5,X4),X4)|~c_ListOrder_Ostep1(X1,X3,X5,X4))). % 0.11/0.44 cnf(i_0_310, plain, (c_ListOrder_Ostep1(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(X1,X5),X6))|~c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X6,X3,X4),X4))). % 0.11/0.44 cnf(i_0_368, plain, (c_List_OtakeWhile(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,X4,X5),X5),X5)=c_List_OtakeWhile(X1,X2,X5)|hBOOL(hAPP(X1,X3)))). % 0.11/0.44 cnf(i_0_396, plain, (X1=c_List_Orev(c_List_Olist_OCons(X2,X3,X4),X4)|c_List_Orev(X1,X4)!=c_List_Olist_OCons(X2,X3,X4))). % 0.11/0.44 cnf(i_0_326, plain, (c_List_Oappend(c_List_OtakeWhile(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)=X2|c_List_OdropWhile(X1,X2,X3)!=c_List_Olist_OCons(X4,X5,X3))). % 0.11/0.44 cnf(i_0_384, plain, (c_Type_Otyping(X1,X2,c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X3,c_List_Orev(c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X2,X4),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_386, plain, (c_Type_Otyping(X1,X2,c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X3,c_List_Orev(c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X1,X2,X4),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_402, plain, (X1=X2|X3=X4|~c_ListOrder_Ostep1(X5,c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X6),X6),X6),c_List_Oappend(X2,c_List_Olist_OCons(X4,c_List_Olist_ONil(X6),X6),X6),X6))). % 0.11/0.44 cnf(i_0_387, plain, (c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)|~c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)|~c_Type_Otyping(X1,X3,X6))). % 0.11/0.44 cnf(i_0_325, plain, (c_List_OdropWhile(X1,X2,X3)=c_List_Olist_OCons(X4,X5,X3)|hBOOL(hAPP(X1,X4))|c_List_Oappend(c_List_OtakeWhile(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)!=X2)). % 0.11/0.44 cnf(i_0_393, plain, (X1=X2|c_ListOrder_Ostep1(X3,X1,X2,X4)|~c_ListOrder_Ostep1(X3,c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X2,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4))). % 0.11/0.44 cnf(i_0_405, plain, (c_List_Olist_OCons(X1,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X3,X4,X5),X5)=X3|X3=c_List_Olist_ONil(X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_406, plain, (c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X3,X4,X5),X4,X5)=X2|X3=c_List_Olist_ONil(X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_399, plain, (c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X3,X4,X5),X5)=X3|X3=c_List_Olist_ONil(X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_400, plain, (c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X3,X4,X5),X4,X5)=X2|X3=c_List_Olist_ONil(X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_401, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X1),X2))|~c_ListOrder_Ostep1(X3,c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X6,c_List_Olist_OCons(X2,c_List_Olist_ONil(X5),X5),X5),X5))). % 0.11/0.44 cnf(i_0_369, plain, (c_List_Olist_OCons(X1,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X3,X4,X5),X5)=X3|X4=c_List_Olist_OCons(X1,X2,X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_291, plain, (c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X3,X4,X5),X4,X5)=X2|X4=c_List_Olist_OCons(X1,X2,X5)|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_370, plain, (c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X3,X4,X5),X4,X5)=X2|c_List_Olist_OCons(X1,X2,X5)=X4|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_391, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X3,c_List_Orev(c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X1,X2,X4),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))). % 0.11/0.44 cnf(i_0_385, plain, (c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)|~c_Type_Otypings(X1,X3,X5)|~c_Type_Otyping(X1,X2,c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X4,c_List_Orev(X5,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)))). % 0.11/0.44 cnf(i_0_290, plain, (c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X3,X4,X5),X5)=X3|c_List_Olist_OCons(X1,X2,X5)=X4|c_List_Oappend(X3,X4,X5)!=c_List_Olist_OCons(X1,X2,X5))). % 0.11/0.44 cnf(i_0_324, plain, (c_List_Olist_OCons(X1,c_List_Olist_OCons(c_List_Ohd(X2,X3),c_List_Osplice(X4,c_List_Otl(X2,X3),X3),X3),X3)=c_List_Osplice(c_List_Olist_OCons(X1,X4,X3),X2,X3)|X2=c_List_Olist_ONil(X3))). % 0.11/0.44 cnf(i_0_397, plain, (c_ListOrder_Ostep1(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(X1,X5),X6))|~c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X3,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4))). % 0.11/0.44 cnf(i_0_267, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,X2)))). % 0.11/0.44 cnf(i_0_390, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X2,X3)))|hAPP(hAPP(c_Type_Otype_OFun,X4),X5)!=v_T____|~c_Type_Otyping(c_Type_Oshift(X6,X3,X5,tc_Type_Otype),X1,X7)|~c_Type_Otyping(X6,X2,X5)|~hBOOL(hAPP(c_InductTermi_OIT,X2))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_365, plain, (hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,X4,X5),X5),X5)))|hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(X1,X4,X5)))|~hBOOL(hAPP(X1,X3)))). % 0.11/0.44 cnf(i_0_367, plain, (hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,X4,X5),X5),X5)))|hBOOL(hAPP(X1,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(X1,X2,X5)))|~hBOOL(hAPP(X1,X3)))). % 0.11/0.44 cnf(i_0_389, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X2,X3)))|hAPP(hAPP(c_Type_Otype_OFun,X4),X5)!=v_T____|~c_Type_Otyping(c_Type_Oshift(X6,X3,X4,tc_Type_Otype),X1,X7)|~c_Type_Otyping(X6,X2,X4)|~hBOOL(hAPP(c_InductTermi_OIT,X2))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.11/0.44 cnf(i_0_353, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xvar__app__types__1__1(X3,X4,X1,X2))|~c_Type_Otypings(X1,X5,X6)|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),c_List_Oappend(X5,X2,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),X3)|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),X5,tc_Lambda_OdB,tc_Lambda_OdB),X4))). % 0.11/0.44 cnf(i_0_301, plain, (c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X1,c_List_Orev(c_Type_Osko__Type__Xvar__app__types__1__1(X1,X2,X3,X4),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)=X2|~c_Type_Otypings(X3,X5,X6)|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),c_List_Oappend(X5,X4,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),X1)|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),X5,tc_Lambda_OdB,tc_Lambda_OdB),X2))). % 0.11/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.11/0.44 # Begin printing tableau % 0.11/0.44 # Found 4 steps % 0.11/0.44 cnf(i_0_482, negated_conjecture, (hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))!=v_T____), inference(start_rule)). % 0.11/0.44 cnf(i_0_485, plain, (hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))!=v_T____), inference(extension_rule, [i_0_381])). % 0.11/0.44 cnf(i_0_578, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X5),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)),tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X6),v_T____,tc_Lambda_OdB,tc_Lambda_OdB)), inference(extension_rule, [i_0_268])). % 0.11/0.44 cnf(i_0_2546, plain, (c_Lambda_OdB_OAbs(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X5),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)),tc_Lambda_OdB,tc_Lambda_OdB))!=c_Lambda_OdB_OAbs(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X6),v_T____,tc_Lambda_OdB,tc_Lambda_OdB))), inference(etableau_closure_rule, [i_0_2546, ...])). % 0.11/0.44 # End printing tableau % 0.11/0.44 # SZS output end % 0.11/0.44 # Branches closed with saturation will be marked with an "s" % 0.11/0.44 # Child (3199027) has found a proof. % 0.11/0.44 % 0.11/0.44 # Proof search is over... % 0.11/0.44 # Freeing feature tree %------------------------------------------------------------------------------