TSTP Solution File: LCL858-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL858-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 : 300s
% DateTime : Thu Aug 31 06:51:24 EDT 2023
% Result : Unsatisfiable 0.20s 0.69s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL858-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.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 : 300
% 0.13/0.34 % DateTime : Fri Aug 25 04:37:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % File :CSE---1.6
% 0.20/0.66 % Problem :theBenchmark
% 0.20/0.66 % Transform :cnf
% 0.20/0.66 % Format :tptp:raw
% 0.20/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.66
% 0.20/0.66 % Result :Theorem 0.010000s
% 0.20/0.66 % Output :CNFRefutation 0.010000s
% 0.20/0.66 %-------------------------------------------
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 % File : LCL858-1 : TPTP v8.1.2. Released v4.1.0.
% 0.20/0.67 % Domain : Logic Calculi
% 0.20/0.67 % Problem : Strong normalization of typed lambda calculus 283_16
% 0.20/0.67 % Version : Especial.
% 0.20/0.67 % English :
% 0.20/0.67
% 0.20/0.67 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.20/0.67 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.20/0.67 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.20/0.67 % Source : [Nip10]
% 0.20/0.67 % Names : StrongNorm-283_16 [Nip10]
% 0.20/0.67
% 0.20/0.67 % Status : Unsatisfiable
% 0.20/0.67 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.15 v5.4.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0
% 0.20/0.67 % Syntax : Number of clauses : 204 ( 54 unt; 19 nHn; 114 RR)
% 0.20/0.67 % Number of literals : 408 ( 111 equ; 202 neg)
% 0.20/0.67 % Maximal clause size : 5 ( 2 avg)
% 0.20/0.67 % Maximal term depth : 6 ( 2 avg)
% 0.20/0.67 % Number of predicates : 9 ( 8 usr; 0 prp; 1-3 aty)
% 0.20/0.67 % Number of functors : 40 ( 40 usr; 9 con; 0-5 aty)
% 0.20/0.67 % Number of variables : 689 ( 132 sgn)
% 0.20/0.67 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.67
% 0.20/0.67 % Comments :
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 cnf(cls_Cons__step1__Cons_5,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_x,V_ys,T_a)),c_List_Olist_OCons(V_x,V_xs,T_a)))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),V_ys),V_xs)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_Cons__step1__Cons_1,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),V_ys),V_xs))
% 0.20/0.67 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_y,V_ys,T_a)),c_List_Olist_OCons(V_x,V_xs,T_a))) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_list_Oinject_1,axiom,
% 0.20/0.67 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.20/0.67 | V_list = V_list_H ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_list_Oinject_0,axiom,
% 0.20/0.67 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.20/0.67 | V_a = V_a_H ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.20/0.67 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_Cons__step1__Cons_3,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),V_ys),V_xs))
% 0.20/0.67 | V_xs = V_ys
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_y,V_ys,T_a)),c_List_Olist_OCons(V_x,V_xs,T_a))) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_Cons__step1__Cons_4,axiom,
% 0.20/0.67 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 0.20/0.67 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_y,V_x,T_a)),c_List_Olist_OCons(V_xa,V_x,T_a))) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_Cons__step1__Cons_2,axiom,
% 0.20/0.67 ( V_x = V_y
% 0.20/0.67 | V_xs = V_ys
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_y,V_ys,T_a)),c_List_Olist_OCons(V_x,V_xs,T_a))) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_foldl__Cons_0,axiom,
% 0.20/0.67 c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_neq__Nil__conv_1,axiom,
% 0.20/0.67 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.20/0.67 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_Cons__step1__Cons_0,axiom,
% 0.20/0.67 ( V_x = V_y
% 0.20/0.67 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_y,V_ys,T_a)),c_List_Olist_OCons(V_x,V_xs,T_a))) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_not__Cons__self2_0,axiom,
% 0.20/0.67 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_not__Cons__self_0,axiom,
% 0.20/0.67 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_Cons__acc__step1I_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(V_r,T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(V_x,V_xs,T_a)))
% 0.20/0.67 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(V_r,T_a),tc_List_Olist(T_a)),V_xs))
% 0.20/0.67 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.20/0.67 ( c_Type_Otype_OFun(V_type1,V_type2) != c_Type_Otype_OFun(V_type1_H,V_type2_H)
% 0.20/0.67 | V_type2 = V_type2_H ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.20/0.67 ( c_Type_Otype_OFun(V_type1,V_type2) != c_Type_Otype_OFun(V_type1_H,V_type2_H)
% 0.20/0.67 | V_type1 = V_type1_H ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_App_0,axiom,
% 0.20/0.67 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.20/0.67 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.20/0.67 | ~ c_Type_Otyping(V_env,V_s,c_Type_Otype_OFun(V_T,V_U)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_lift__type_0,axiom,
% 0.20/0.67 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
% 0.20/0.67 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_lift__preserves__beta_H_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_subst__lemma_0,axiom,
% 0.20/0.67 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.20/0.67 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.20/0.67 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_subject__reduction_H_0,axiom,
% 0.20/0.67 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.20/0.67 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_head__Var__reduction_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),V_rs),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v)))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_subst__preserves__beta_H_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_subst__preserves__beta2_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.20/0.67 hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.20/0.67 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.67 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_s_H)))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t_H)))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t)))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_rtrancl__beta__App_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t_H)))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 0.20/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_Abs_0,axiom,
% 0.20/0.67 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),c_Type_Otype_OFun(V_T,V_U))
% 0.20/0.67 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_lists__accI_0,axiom,
% 0.20/0.67 ( c_List_Olistsp(c_Wellfounded_Oaccp(V_r,T_a),V_xs,T_a)
% 0.20/0.67 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(V_r,T_a),tc_List_Olist(T_a)),V_xs)) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_lists__accD_0,axiom,
% 0.20/0.67 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(V_r,T_a),tc_List_Olist(T_a)),V_xs))
% 0.20/0.67 | ~ c_List_Olistsp(c_Wellfounded_Oaccp(V_r,T_a),V_xs,T_a) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_shift__eq_0,axiom,
% 0.20/0.67 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_foldl__Nil_0,axiom,
% 0.20/0.67 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_not__step1__Nil_0,axiom,
% 0.20/0.67 ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),V_xs),c_List_Olist_ONil(T_a))) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_not__Nil__step1_0,axiom,
% 0.20/0.67 ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_ONil(T_a)),V_xs)) ).
% 0.20/0.67
% 0.20/0.67 cnf(cls_listsp_ONil_0,axiom,
% 0.20/0.67 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_App__eq__foldl__conv_2,axiom,
% 0.20/0.68 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.68 | V_r = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.68 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_apps__preserves__betas_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),V_rs),V_ss)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_apps__preserves__beta2_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.20/0.68 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.20/0.68 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.20/0.68 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.20/0.68 c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.20/0.68 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.68 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.20/0.68 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.68 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.20/0.68 c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_subst__type__IT_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))
% 0.20/0.68 | ~ c_Type_Otyping(V_e,V_u,V_U)
% 0.20/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.20/0.68 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.20/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_head__Var__reduction_1,axiom,
% 0.20/0.68 ( V_v = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_IT_OVar_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.20/0.68 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.20/0.68 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_rtranclp__idemp_0,axiom,
% 0.20/0.68 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_type__implies__IT_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,V_t))
% 0.20/0.68 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.20/0.68 hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf2E_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(V_A,V_x),V_y))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf2E_1,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(V_B,V_x),V_y))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_app__Var__IT_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 0.20/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_subst__lift_0,axiom,
% 0.20/0.68 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_tranclp_Or__into__trancl_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olattice(T_a)
% 0.20/0.68 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_sup__left__idem_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.20/0.68 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olattice(T_a)
% 0.20/0.68 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_sup__commute_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.20/0.68 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Lambda_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.20/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.20/0.68 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.68 | V_r = V_s ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.20/0.68 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.68 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_typing_OVar_0,axiom,
% 0.20/0.68 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olattice(T_a)
% 0.20/0.68 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__commute_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.20/0.68 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olattice(T_a)
% 0.20/0.68 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olattice(T_a)
% 0.20/0.68 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_sup__left__commute_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.20/0.68 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_sup__assoc_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.20/0.68 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_sup__idem_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.20/0.68 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.20/0.68 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.20/0.68 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_pred__comp_Ointros_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(V_r,V_s,T_a,T_b,T_c),V_a),V_c))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(V_s,V_b),V_c))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_tranclp__rtranclp__tranclp_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_rtranclp__tranclp__tranclp_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_z))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_y),V_z))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 0.20/0.68 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 0.20/0.68 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_rtranclp__trans_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_rtranclp__into__tranclp2_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_rtranclp__into__tranclp1_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.20/0.68 c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_wfP__trancl_0,axiom,
% 0.20/0.68 ( c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(V_r,T_a),T_a)
% 0.20/0.68 | ~ c_Wellfounded_OwfP(V_r,T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.20/0.68 ( hAPP(V_e,V_i) = V_T
% 0.20/0.68 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Nitpick_Ortranclp__def_2,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Var__IT_0,axiom,
% 0.20/0.68 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.20/0.68 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_r__into__rtranclp_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_sup2E_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(V_B,V_x),V_y))
% 0.20/0.68 | hBOOL(hAPP(hAPP(V_A,V_x),V_y))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_sup2CI_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_y)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_sup2CI_1,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(V_A,V_x),V_y)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Beta_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.20/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.20/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_lift__IT_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))
% 0.20/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.20/0.68 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olattice(T_a)
% 0.20/0.68 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olattice(T_a)
% 0.20/0.68 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__left__commute_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.20/0.68 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__assoc_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.20/0.68 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.20/0.68 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.20/0.68 | V_dB = V_dB_H ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.20/0.68 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.20/0.68 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.68 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_apps__preserves__beta_0,axiom,
% 0.20/0.68 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.20/0.68 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_sup__inf__absorb_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olattice(T_a)
% 0.20/0.68 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_beta_0,axiom,
% 0.20/0.68 hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat)))) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_var__app__type__eq_0,axiom,
% 0.20/0.68 ( V_T = V_U
% 0.20/0.68 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)
% 0.20/0.68 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.20/0.68 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.20/0.68 | V_dB2 = V_dB2_H ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.20/0.68 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.20/0.68 | V_dB1 = V_dB1_H ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_inf__sup__absorb_0,axiom,
% 0.20/0.68 ( ~ class_Lattices_Olattice(T_a)
% 0.20/0.68 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.20/0.68 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.68 | V_rs = V_ss ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.20/0.68 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.68 | V_r = V_s ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.20/0.68 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.20/0.68 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.20/0.68
% 0.20/0.68 cnf(cls_rtranclp__reflcl_0,axiom,
% 0.20/0.68 c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_fequal(T_a),tc_fun(T_a,tc_fun(T_a,tc_bool))),T_a) = c_Transitive__Closure_Ortranclp(V_R,T_a) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_Nitpick_Ortranclp__def_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b))
% 0.20/0.69 | V_a = V_b
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_rtranclpD_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_R,T_a),V_a),V_b))
% 0.20/0.69 | V_a = V_b
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_R,T_a),V_a),V_b)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_rtranclp__sup__rtranclp_0,axiom,
% 0.20/0.69 c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(V_R,T_a),c_Transitive__Closure_Ortranclp(V_S,T_a),tc_fun(T_a,tc_fun(T_a,tc_bool))),T_a) = c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(T_a,tc_fun(T_a,tc_bool))),T_a) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.20/0.69 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.20/0.69 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.20/0.69 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.20/0.69 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.20/0.69 ( ~ class_Lattices_Olattice(T_a)
% 0.20/0.69 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_inf__left__idem_0,axiom,
% 0.20/0.69 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.20/0.69 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_subst__Var__IT_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_reflcl__tranclp_0,axiom,
% 0.20/0.69 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(V_r,T_a),c_fequal(T_a),tc_fun(T_a,tc_fun(T_a,tc_bool))) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_inf__idem_0,axiom,
% 0.20/0.69 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.20/0.69 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_subst__eq_0,axiom,
% 0.20/0.69 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.20/0.69 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.69 | V_rs = V_ss ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.20/0.69 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.20/0.69 | V_m = V_n ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.20/0.69 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_tranclp__trans_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_z))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_y),V_z))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.20/0.69 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.20/0.69 | V_nat = V_nat_H ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.20/0.69 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.20/0.69 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_subst__App_0,axiom,
% 0.20/0.69 c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_inf2I_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_y))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_A,V_x),V_y)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_tranclp_Otrancl__into__trancl_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_tranclp__into__tranclp2_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_b),V_c))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp__downward_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_b)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp_Ocases_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_y))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp__induct_2,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_a))
% 0.20/0.69 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp__induct_1,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_a))
% 0.20/0.69 | hBOOL(hAPP(V_P,V_y))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_y),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_not__accp__down_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(V_R,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(V_R,V_x,T_a)),V_x))
% 0.20/0.69 | hBOOL(hAPP(c_Wellfounded_Oaccp(V_R,T_a),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_subject__reduction_0,axiom,
% 0.20/0.69 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.20/0.69 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp__wfPD_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x))
% 0.20/0.69 | ~ c_Wellfounded_OwfP(V_r,T_a) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_conversep__conversep_0,axiom,
% 0.20/0.69 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.20/0.69 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp_OaccI_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x))
% 0.20/0.69 | hBOOL(hAPP(hAPP(V_r,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(V_r,V_x,T_a)),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_conversep__eq_0,axiom,
% 0.20/0.69 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_tranclp__converseD_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a),V_x),V_y))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_tranclp__converseI_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a),V_x),V_y)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_not__accp__down_1,axiom,
% 0.20/0.69 ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_R,T_a),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(V_R,V_x,T_a)))
% 0.20/0.69 | hBOOL(hAPP(c_Wellfounded_Oaccp(V_R,T_a),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_tranclp__converse_0,axiom,
% 0.20/0.69 c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a) = c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_termi__implies__IT_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),V_r)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_IT__implies__termi_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),V_t))
% 0.20/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp__downwards__aux_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_b))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp__downwards_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_b))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_subst__preserves__beta_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp_Oinducts_2,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_x))
% 0.20/0.69 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp_Oinducts_1,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_x))
% 0.20/0.69 | hBOOL(hAPP(V_P,V_y))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_y),v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_double__induction__lemma_0,axiom,
% 0.20/0.69 ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),V_s))
% 0.20/0.69 | hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp_Oinduct_2,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_x))
% 0.20/0.69 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp_Oinduct_1,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_x))
% 0.20/0.69 | hBOOL(hAPP(V_P,V_y))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_y),v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_conversep_Ointros_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_conversep_Ocases_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_conversep__iff_1,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_conversepD_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp_Oinducts_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_x))
% 0.20/0.69 | hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_ya))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_ya),v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp_Oinduct_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_x))
% 0.20/0.69 | hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_ya))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_ya),v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_converse__join_0,axiom,
% 0.20/0.69 c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(T_b,tc_fun(T_a,tc_bool))),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(V_r,T_b,T_a),c_Predicate_Oconversep(V_s,T_b,T_a),tc_fun(T_a,tc_fun(T_b,tc_bool))) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_rtranclp__converseD_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_rtranclp__converseI_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp__induct_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_a))
% 0.20/0.69 | hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_converse__meet_0,axiom,
% 0.20/0.69 c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(T_b,tc_fun(T_a,tc_bool))),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(V_r,T_b,T_a),c_Predicate_Oconversep(V_s,T_b,T_a),tc_fun(T_a,tc_fun(T_b,tc_bool))) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp_OaccI_1,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(V_r,V_x,T_a))) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accpI_1,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(V_r,V_x,T_a))) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accpI_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x))
% 0.20/0.69 | hBOOL(hAPP(hAPP(V_r,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(V_r,V_x,T_a)),V_x)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_appR_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s)),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_appL_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u)),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp__induct__rule_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_a))
% 0.20/0.69 | hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_lift__preserves__beta_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp__induct__rule_2,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_a))
% 0.20/0.69 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_accp__induct__rule_1,axiom,
% 0.20/0.69 ( hBOOL(hAPP(V_P,V_a))
% 0.20/0.69 | hBOOL(hAPP(V_P,V_y))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(V_r,V_y),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a)))
% 0.20/0.69 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_converse__pred__comp_0,axiom,
% 0.20/0.69 c_Predicate_Oconversep(c_Predicate_Opred__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a) = c_Predicate_Opred__comp(c_Predicate_Oconversep(V_s,T_c,T_a),c_Predicate_Oconversep(V_r,T_b,T_c),T_a,T_c,T_b) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_abs_0,axiom,
% 0.20/0.69 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_CHAINED_0,axiom,
% 0.20/0.69 hBOOL(hAPP(c_InductTermi_OIT,v_t)) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_conjecture_0,negated_conjecture,
% 0.20/0.69 ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.20/0.69 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.20/0.69 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.20/0.69 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.20/0.69 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.20/0.69 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.20/0.69 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.20/0.69 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.20/0.69 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.20/0.69 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 0.20/0.69 class_Lattices_Olower__semilattice(tc_nat) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 0.20/0.69 class_Lattices_Odistrib__lattice(tc_nat) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.20/0.69 class_Lattices_Olattice(tc_nat) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.20/0.69 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.20/0.69 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.20/0.69 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.20/0.69
% 0.20/0.69 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.20/0.69 class_Lattices_Olattice(tc_bool) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.20/0.69 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.20/0.69
% 0.20/0.69 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.20/0.69 ( V_X = V_Y
% 0.20/0.69 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.20/0.69
% 0.20/0.69 %------------------------------------------------------------------------------
% 0.20/0.69 %-------------------------------------------
% 0.20/0.69 % Proof found
% 0.20/0.69 % SZS status Theorem for theBenchmark
% 0.20/0.69 % SZS output start Proof
% 0.20/0.69 %ClaNum:294(EqnAxiom:91)
% 0.20/0.69 %VarNum:1458(SingletonVarNum:642)
% 0.20/0.69 %MaxLitNum:5
% 0.20/0.69 %MaxfuncDepth:5
% 0.20/0.69 %SharedTerms:31
% 0.20/0.69 %goalClause: 142
% 0.20/0.69 %singleGoalClaCount:1
% 0.20/0.69 [92]P1(a1)
% 0.20/0.69 [93]P1(a2)
% 0.20/0.69 [94]P6(a1)
% 0.20/0.69 [95]P6(a2)
% 0.20/0.69 [96]P7(a1)
% 0.20/0.69 [97]P7(a2)
% 0.20/0.69 [98]P2(a1)
% 0.20/0.69 [99]P2(a2)
% 0.20/0.69 [100]P8(f10(a3,a37))
% 0.20/0.69 [142]~P8(f10(f30(f26(a13,a32,a32),a32),a37))
% 0.20/0.69 [101]P8(f10(a3,f11(x1011)))
% 0.20/0.69 [104]E(f26(f25(x1041),x1041,x1041),f25(x1041))
% 0.20/0.69 [102]P3(x1021,f15(x1022),x1022)
% 0.20/0.69 [106]P4(x1061,f11(x1062),f10(x1061,x1062))
% 0.20/0.69 [129]~E(f14(x1291),f11(x1292))
% 0.20/0.69 [103]E(f16(f11(x1031),x1032,x1031),x1032)
% 0.20/0.69 [110]E(f26(f27(x1101,x1102),x1102,x1102),f27(f26(x1101,x1102,x1102),x1102))
% 0.20/0.69 [107]P8(f10(f10(f25(x1071),x1072),x1072))
% 0.20/0.69 [115]P8(f10(f10(a13,f10(f10(a12,f14(x1151)),x1152)),f16(x1151,x1152,f4(a1))))
% 0.20/0.69 [116]E(f19(f27(f19(x1161,f25(x1162),f36(x1162,f36(x1162,a2))),x1162),f25(x1162),f36(x1162,f36(x1162,a2))),f19(f27(x1161,x1162),f25(x1162),f36(x1162,f36(x1162,a2))))
% 0.20/0.69 [117]E(f19(f27(f19(f27(x1171,x1172),f25(x1172),f36(x1172,f36(x1172,a2))),x1172),f25(x1172),f36(x1172,f36(x1172,a2))),f19(f27(x1171,x1172),f25(x1172),f36(x1172,f36(x1172,a2))))
% 0.20/0.69 [139]~P8(f10(f10(a13,f11(x1391)),x1392))
% 0.20/0.69 [135]~E(f24(x1351,x1352,x1353),x1352)
% 0.20/0.69 [138]~E(f24(x1381,x1382,x1383),f15(x1383))
% 0.20/0.69 [105]E(f16(f17(x1051,x1052),x1053,x1052),x1051)
% 0.20/0.69 [108]E(f26(f26(x1081,x1082,x1083),x1083,x1082),x1081)
% 0.20/0.69 [130]~E(f11(x1301),f10(f10(a12,x1302),x1303))
% 0.20/0.69 [131]~E(f14(x1311),f10(f10(a12,x1312),x1313))
% 0.20/0.69 [132]~E(f10(f10(a12,x1321),x1322),f11(x1323))
% 0.20/0.69 [133]~E(f10(f10(a12,x1331),x1332),f14(x1333))
% 0.20/0.69 [140]~P8(f10(f10(f21(x1401,x1402),x1403),f15(x1402)))
% 0.20/0.69 [109]E(f10(f10(a12,f17(x1091,x1092)),f17(x1093,x1092)),f17(f10(f10(a12,x1091),x1093),x1092))
% 0.20/0.69 [126]E(f19(f27(f19(f19(f27(x1261,x1262),f25(x1262),f36(x1262,f36(x1262,a2))),f19(f27(x1263,x1262),f25(x1262),f36(x1262,f36(x1262,a2))),f36(x1262,f36(x1262,a2))),x1262),f25(x1262),f36(x1262,f36(x1262,a2))),f19(f27(f19(x1261,x1263,f36(x1262,f36(x1262,a2))),x1262),f25(x1262),f36(x1262,f36(x1262,a2))))
% 0.20/0.69 [141]~P8(f10(f10(f21(x1411,x1412),f15(x1412)),x1413))
% 0.20/0.69 [124]P8(f10(f10(f19(f27(x1241,x1242),f25(x1242),f36(x1242,f36(x1242,a2))),x1243),x1243))
% 0.20/0.69 [112]E(f10(f29(x1121,x1122,x1123,x1124),x1122),x1123)
% 0.20/0.69 [118]E(f20(x1181,x1182,f15(x1183),x1184,x1183),x1182)
% 0.20/0.69 [144]~E(f20(a12,f14(x1441),x1442,a32,a32),f20(a12,f11(x1443),x1444,a32,a32))
% 0.20/0.69 [111]E(f10(f10(a12,f16(x1111,x1112,x1113)),f16(x1114,x1112,x1113)),f16(f10(f10(a12,x1111),x1114),x1112,x1113))
% 0.20/0.69 [143]~E(f10(f10(a12,f14(x1431)),x1432),f20(a12,f11(x1433),x1434,a32,a32))
% 0.20/0.69 [113]E(f18(f26(x1131,x1132,x1133),f26(x1134,x1132,x1133),f36(x1133,f36(x1132,a2))),f26(f18(x1131,x1134,f36(x1132,f36(x1133,a2))),x1132,x1133))
% 0.20/0.69 [114]E(f19(f26(x1141,x1142,x1143),f26(x1144,x1142,x1143),f36(x1143,f36(x1142,a2))),f26(f19(x1141,x1144,f36(x1142,f36(x1143,a2))),x1142,x1143))
% 0.20/0.69 [127]E(f28(f26(x1271,x1272,x1273),f26(x1274,x1275,x1272),x1273,x1272,x1275),f26(f28(x1274,x1271,x1275,x1272,x1273),x1275,x1273))
% 0.20/0.69 [125]E(f20(x1251,x1252,f24(x1253,x1254,x1255),x1256,x1255),f20(x1251,f10(f10(x1251,x1252),x1253),x1254,x1256,x1255))
% 0.20/0.69 [156]~P8(f10(a3,x1561))+P8(f10(a3,f14(x1561)))
% 0.20/0.69 [207]~P8(f10(a3,x2071))+P8(f10(f30(f26(a13,a32,a32),a32),x2071))
% 0.20/0.69 [225]P8(f10(a3,x2251))+~P8(f10(f30(f26(a13,a32,a32),a32),x2251))
% 0.20/0.69 [145]E(x1451,x1452)+~E(f11(x1451),f11(x1452))
% 0.20/0.69 [146]E(x1461,x1462)+~E(f14(x1461),f14(x1462))
% 0.20/0.69 [147]~P1(x1472)+P1(f36(x1471,x1472))
% 0.20/0.69 [148]~P1(x1482)+P6(f36(x1481,x1482))
% 0.20/0.69 [149]~P1(x1492)+P7(f36(x1491,x1492))
% 0.20/0.69 [150]~P2(x1502)+P2(f36(x1501,x1502))
% 0.20/0.69 [153]~P7(x1532)+E(f18(x1531,x1531,x1532),x1531)
% 0.20/0.69 [154]~P6(x1542)+E(f19(x1541,x1541,x1542),x1541)
% 0.20/0.69 [155]~P5(x1551,x1552)+P5(f27(x1551,x1552),x1552)
% 0.20/0.69 [166]~P8(f10(a3,x1661))+P8(f10(a3,f17(x1661,x1662)))
% 0.20/0.69 [176]~P8(f10(f10(a13,x1761),x1762))+P8(f10(f10(a13,f14(x1761)),f14(x1762)))
% 0.20/0.69 [177]~P8(f10(a3,x1771))+P8(f10(a3,f10(f10(a12,x1771),f11(x1772))))
% 0.20/0.69 [281]~P3(a3,x2812,a32)+P8(f10(a3,f20(a12,f11(x2811),x2812,a32,a32)))
% 0.20/0.69 [267]P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),f14(x2671)),f14(x2672)))+~P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),x2671),x2672))
% 0.20/0.69 [158]~P4(x1581,f11(x1582),x1583)+E(f10(x1581,x1582),x1583)
% 0.20/0.69 [159]~P4(x1592,x1591,x1593)+P8(f10(a3,x1591))
% 0.20/0.69 [160]~P1(x1603)+E(f18(x1601,x1602,x1603),f18(x1602,x1601,x1603))
% 0.20/0.69 [161]~P7(x1613)+E(f18(x1611,x1612,x1613),f18(x1612,x1611,x1613))
% 0.20/0.69 [162]~P1(x1623)+E(f19(x1621,x1622,x1623),f19(x1622,x1621,x1623))
% 0.20/0.69 [163]~P6(x1633)+E(f19(x1631,x1632,x1633),f19(x1632,x1631,x1633))
% 0.20/0.69 [248]~E(f11(x2482),f20(a12,x2483,x2481,a32,a32))+E(x2481,f15(a32))
% 0.20/0.69 [249]~E(f14(x2492),f20(a12,x2493,x2491,a32,a32))+E(x2491,f15(a32))
% 0.20/0.69 [250]~E(f20(a12,x2502,x2501,a32,a32),f14(x2503))+E(x2501,f15(a32))
% 0.20/0.69 [251]E(x2511,f14(x2512))+~E(f20(a12,x2511,x2513,a32,a32),f14(x2512))
% 0.20/0.69 [252]E(f11(x2521),x2522)+~E(f11(x2521),f20(a12,x2522,x2523,a32,a32))
% 0.20/0.69 [253]E(f14(x2531),x2532)+~E(f14(x2531),f20(a12,x2532,x2533,a32,a32))
% 0.20/0.69 [276]E(x2761,x2762)+~E(f20(a12,x2761,x2763,a32,a32),f20(a12,x2762,x2763,a32,a32))
% 0.20/0.69 [157]~P5(x1571,x1572)+P8(f10(f30(x1571,x1572),x1573))
% 0.20/0.69 [167]~P1(x1673)+E(f18(x1671,f19(x1671,x1672,x1673),x1673),x1671)
% 0.20/0.69 [168]~P1(x1683)+E(f19(x1681,f18(x1681,x1682,x1683),x1683),x1681)
% 0.20/0.69 [172]~P1(x1723)+E(f18(x1721,f18(x1721,x1722,x1723),x1723),f18(x1721,x1722,x1723))
% 0.20/0.69 [173]~P7(x1733)+E(f18(x1731,f18(x1731,x1732,x1733),x1733),f18(x1731,x1732,x1733))
% 0.20/0.69 [174]~P1(x1743)+E(f19(x1741,f19(x1741,x1742,x1743),x1743),f19(x1741,x1742,x1743))
% 0.20/0.69 [175]~P6(x1753)+E(f19(x1751,f19(x1751,x1752,x1753),x1753),f19(x1751,x1752,x1753))
% 0.20/0.70 [195]~P8(f10(f10(a13,x1951),x1953))+P8(f10(f10(a13,f17(x1951,x1952)),f17(x1953,x1952)))
% 0.20/0.70 [210]~P8(f10(f30(x2101,x2102),f9(x2101,x2103,x2102)))+P8(f10(f30(x2101,x2102),x2103))
% 0.20/0.70 [211]~P8(f10(f30(x2111,x2112),f6(x2111,x2113,x2112)))+P8(f10(f30(x2111,x2112),x2113))
% 0.20/0.70 [212]~P8(f10(f30(x2121,x2122),f7(x2121,x2123,x2122)))+P8(f10(f30(x2121,x2122),x2123))
% 0.20/0.70 [255]E(f10(f10(a12,x2551),x2552),x2553)+~E(f10(f10(a12,x2551),x2552),f20(a12,x2553,f15(a32),a32,a32))
% 0.20/0.70 [289]~P8(f10(f10(a13,x2891),x2893))+P8(f10(f10(a13,f20(a12,x2891,x2892,a32,a32)),f20(a12,x2893,x2892,a32,a32)))
% 0.20/0.70 [169]E(x1691,x1692)+~P8(f10(f10(f25(x1693),x1691),x1692))
% 0.20/0.70 [181]~P8(f10(a3,x1811))+P8(f10(a3,f16(x1811,f11(x1812),x1813)))
% 0.20/0.70 [191]~P3(f30(x1911,x1912),x1913,x1912)+P8(f10(f30(f21(x1911,x1912),f34(x1912)),x1913))
% 0.20/0.70 [198]P3(f30(x1981,x1982),x1983,x1982)+~P8(f10(f30(f21(x1981,x1982),f34(x1982)),x1983))
% 0.20/0.70 [213]P8(f10(f30(x2131,x2132),x2133))+P8(f10(f10(x2131,f9(x2131,x2133,x2132)),x2133))
% 0.20/0.70 [214]P8(f10(f30(x2141,x2142),x2143))+P8(f10(f10(x2141,f6(x2141,x2143,x2142)),x2143))
% 0.20/0.70 [215]P8(f10(f30(x2151,x2152),x2153))+P8(f10(f10(x2151,f7(x2151,x2153,x2152)),x2153))
% 0.20/0.70 [218]~P8(f10(f10(a13,x2181),x2183))+P8(f10(f10(a13,f10(f10(a12,x2181),x2182)),f10(f10(a12,x2183),x2182)))
% 0.20/0.70 [219]~P8(f10(f10(a13,x2192),x2193))+P8(f10(f10(a13,f10(f10(a12,x2191),x2192)),f10(f10(a12,x2191),x2193)))
% 0.20/0.70 [290]P8(f10(f10(a13,f20(a12,x2901,x2902,a32,a32)),f20(a12,x2901,x2903,a32,a32)))+~P8(f10(f10(f21(a13,a32),x2902),x2903))
% 0.20/0.70 [292]P8(f10(f10(f21(a13,a32),x2921),f23(x2922,x2921,x2923)))+~P8(f10(f10(a13,f20(a12,f11(x2922),x2921,a32,a32)),x2923))
% 0.20/0.70 [293]E(f20(a12,f11(x2931),f23(x2931,x2932,x2933),a32,a32),x2933)+~P8(f10(f10(a13,f20(a12,f11(x2931),x2932,a32,a32)),x2933))
% 0.20/0.70 [268]P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),f17(x2681,x2682)),f17(x2683,x2682)))+~P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),x2681),x2683))
% 0.20/0.70 [269]P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),f10(f10(a12,x2691),x2692)),f10(f10(a12,x2693),x2692)))+~P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),x2691),x2693))
% 0.20/0.70 [270]P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),f10(f10(a12,x2701),x2702)),f10(f10(a12,x2701),x2703)))+~P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),x2702),x2703))
% 0.20/0.70 [294]P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),f20(a12,x2941,x2942,a32,a32)),f20(a12,x2943,x2942,a32,a32)))+~P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),x2941),x2943))
% 0.20/0.70 [151]E(x1511,x1512)+~E(f31(x1513,x1511),f31(x1514,x1512))
% 0.20/0.70 [152]E(x1521,x1522)+~E(f31(x1521,x1523),f31(x1522,x1524))
% 0.20/0.70 [164]E(x1641,x1642)+~E(f10(f10(a12,x1643),x1641),f10(f10(a12,x1644),x1642))
% 0.20/0.70 [165]E(x1651,x1652)+~E(f10(f10(a12,x1651),x1653),f10(f10(a12,x1652),x1654))
% 0.20/0.70 [183]~P1(x1834)+E(f18(x1831,f18(x1832,x1833,x1834),x1834),f18(x1832,f18(x1831,x1833,x1834),x1834))
% 0.20/0.70 [184]~P7(x1844)+E(f18(x1841,f18(x1842,x1843,x1844),x1844),f18(x1842,f18(x1841,x1843,x1844),x1844))
% 0.20/0.70 [185]~P1(x1854)+E(f19(x1851,f19(x1852,x1853,x1854),x1854),f19(x1852,f19(x1851,x1853,x1854),x1854))
% 0.20/0.70 [186]~P6(x1864)+E(f19(x1861,f19(x1862,x1863,x1864),x1864),f19(x1862,f19(x1861,x1863,x1864),x1864))
% 0.20/0.70 [187]~P1(x1873)+E(f18(f18(x1871,x1872,x1873),x1874,x1873),f18(x1871,f18(x1872,x1874,x1873),x1873))
% 0.20/0.70 [188]~P7(x1883)+E(f18(f18(x1881,x1882,x1883),x1884,x1883),f18(x1881,f18(x1882,x1884,x1883),x1883))
% 0.20/0.70 [189]~P1(x1893)+E(f19(f19(x1891,x1892,x1893),x1894,x1893),f19(x1891,f19(x1892,x1894,x1893),x1893))
% 0.20/0.70 [190]~P6(x1903)+E(f19(f19(x1901,x1902,x1903),x1904,x1903),f19(x1901,f19(x1902,x1904,x1903),x1903))
% 0.20/0.70 [199]~P2(x1993)+E(f19(f18(x1991,x1992,x1993),f18(x1991,x1994,x1993),x1993),f18(x1991,f19(x1992,x1994,x1993),x1993))
% 0.20/0.70 [200]~P2(x2003)+E(f18(f19(x2001,x2002,x2003),f19(x2001,x2004,x2003),x2003),f19(x2001,f18(x2002,x2004,x2003),x2003))
% 0.20/0.70 [201]~P2(x2013)+E(f19(f18(x2011,x2012,x2013),f18(x2014,x2012,x2013),x2013),f18(f19(x2011,x2014,x2013),x2012,x2013))
% 0.20/0.70 [202]~P2(x2023)+E(f18(f19(x2021,x2022,x2023),f19(x2024,x2022,x2023),x2023),f19(f18(x2021,x2024,x2023),x2022,x2023))
% 0.20/0.70 [227]~P8(f10(f10(a13,x2271),x2274))+P8(f10(f10(a13,f16(x2271,x2272,x2273)),f16(x2274,x2272,x2273)))
% 0.20/0.70 [231]P4(x2311,f14(x2312),f31(x2313,x2314))+~P4(f29(x2311,f4(a1),x2313,a35),x2312,x2314)
% 0.20/0.70 [254]P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),f16(x2541,x2542,x2543)),f16(x2541,x2544,x2543)))+~P8(f10(f10(a13,x2542),x2544))
% 0.20/0.70 [277]E(x2771,x2772)+~E(f20(a12,f11(x2773),x2771,a32,a32),f20(a12,f11(x2774),x2772,a32,a32))
% 0.20/0.70 [278]E(x2781,x2782)+~E(f20(a12,f14(x2783),x2781,a32,a32),f20(a12,f14(x2784),x2782,a32,a32))
% 0.20/0.70 [279]E(x2791,x2792)+~E(f20(a12,f11(x2791),x2793,a32,a32),f20(a12,f11(x2792),x2794,a32,a32))
% 0.20/0.70 [280]E(x2801,x2802)+~E(f20(a12,f14(x2801),x2803,a32,a32),f20(a12,f14(x2802),x2804,a32,a32))
% 0.20/0.70 [182]~P8(f10(f10(x1821,x1823),x1824))+P8(f10(f10(f27(x1821,x1822),x1823),x1824))
% 0.20/0.70 [257]~P8(f10(f10(f26(f27(x2571,x2572),x2572,x2572),x2573),x2574))+P8(f10(f10(f27(f26(x2571,x2572,x2572),x2572),x2573),x2574))
% 0.20/0.70 [262]~P8(f10(f10(f27(f26(x2621,x2622,x2622),x2622),x2623),x2624))+P8(f10(f10(f26(f27(x2621,x2622),x2622,x2622),x2623),x2624))
% 0.20/0.70 [241]~P8(f10(f10(x2411,x2413),x2414))+P8(f10(f10(f19(f27(x2411,x2412),f25(x2412),f36(x2412,f36(x2412,a2))),x2413),x2414))
% 0.20/0.70 [274]P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),f16(x2741,x2742,x2743)),f16(x2744,x2742,x2743)))+~P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),x2741),x2744))
% 0.20/0.70 [275]P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),f16(x2751,x2752,x2753)),f16(x2751,x2754,x2753)))+~P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),x2752),x2754))
% 0.20/0.70 [282]~P8(f10(f10(f19(f27(x2821,x2822),f25(x2822),f36(x2822,f36(x2822,a2))),x2824),x2823))+P8(f10(f10(f19(f27(f26(x2821,x2822,x2822),x2822),f25(x2822),f36(x2822,f36(x2822,a2))),x2823),x2824))
% 0.20/0.70 [285]~P8(f10(f10(f19(f27(f26(x2851,x2852,x2852),x2852),f25(x2852),f36(x2852,f36(x2852,a2))),x2854),x2853))+P8(f10(f10(f19(f27(x2851,x2852),f25(x2852),f36(x2852,f36(x2852,a2))),x2853),x2854))
% 0.20/0.70 [170]E(x1701,x1702)+~E(f24(x1703,x1701,x1704),f24(x1705,x1702,x1704))
% 0.20/0.70 [171]E(x1711,x1712)+~E(f24(x1711,x1713,x1714),f24(x1712,x1715,x1714))
% 0.20/0.70 [224]~P4(x2241,x2244,x2245)+P4(f29(x2241,x2242,x2243,a35),f17(x2244,x2242),x2245)
% 0.20/0.70 [232]~P8(f10(f10(x2321,x2323),x2325))+P8(f10(f10(f21(x2321,x2322),f24(x2323,x2324,x2322)),f24(x2325,x2324,x2322)))
% 0.20/0.70 [221]~P8(f10(f10(x2211,x2215),x2214))+P8(f10(f10(f26(x2211,x2212,x2213),x2214),x2215))
% 0.20/0.70 [229]P8(f10(f10(x2291,x2292),x2293))+~P8(f10(f10(f26(x2291,x2294,x2295),x2293),x2292))
% 0.20/0.70 [234]P8(f10(f10(f21(x2341,x2342),f24(x2343,x2344,x2342)),f24(x2343,x2345,x2342)))+~P8(f10(f10(f21(x2341,x2342),x2344),x2345))
% 0.20/0.70 [235]~P8(f10(f10(x2352,x2355),x2356))+P8(f10(f10(f19(x2351,x2352,f36(x2353,f36(x2354,a2))),x2355),x2356))
% 0.20/0.70 [236]~P8(f10(f10(x2361,x2365),x2366))+P8(f10(f10(f19(x2361,x2362,f36(x2363,f36(x2364,a2))),x2365),x2366))
% 0.20/0.70 [245]P8(f10(f10(x2451,x2452),x2453))+~P8(f10(f10(f18(x2454,x2451,f36(x2455,f36(x2456,a2))),x2452),x2453))
% 0.20/0.70 [246]P8(f10(f10(x2461,x2462),x2463))+~P8(f10(f10(f18(x2461,x2464,f36(x2465,f36(x2466,a2))),x2462),x2463))
% 0.20/0.70 [179]P8(f10(x1791,x1792))+~P8(f10(x1791,f38(x1791,x1793)))+~P8(f10(f30(x1793,a33),x1792))
% 0.20/0.70 [180]P8(f10(x1801,x1802))+~P8(f10(x1801,f39(x1801,x1803)))+~P8(f10(f30(x1803,a33),x1802))
% 0.20/0.70 [288]~P8(f10(a3,x2882))+~P8(f10(a3,f20(a12,f16(x2881,x2882,f4(a1)),x2883,a32,a32)))+P8(f10(a3,f20(a12,f10(f10(a12,f14(x2881)),x2882),x2883,a32,a32)))
% 0.20/0.70 [291]~P8(f10(f30(f26(a13,a32,a32),a32),x2912))+~P8(f10(f30(f26(a13,a32,a32),a32),f20(a12,f16(x2911,x2912,f4(a1)),x2913,a32,a32)))+P8(f10(f30(f26(a13,a32,a32),a32),f20(a12,f10(f10(a12,f14(x2911)),x2912),x2913,a32,a32)))
% 0.20/0.70 [178]P4(x1781,x1782,x1783)+~P4(x1781,x1784,x1783)+~P8(f10(f10(a13,x1784),x1782))
% 0.20/0.70 [194]~P8(f10(f30(x1941,x1942),x1944))+P8(f10(f30(x1941,x1942),x1943))+~P8(f10(f10(x1941,x1943),x1944))
% 0.20/0.70 [205]P8(f10(x2051,x2052))+P8(f10(f30(x2053,x2054),f5(x2051,x2053,x2054)))+~P8(f10(f30(x2053,x2054),x2052))
% 0.20/0.70 [206]P8(f10(x2061,x2062))+P8(f10(f30(x2063,x2064),f8(x2061,x2063,x2064)))+~P8(f10(f30(x2063,x2064),x2062))
% 0.20/0.70 [208]P8(f10(x2081,x2082))+~P8(f10(x2081,f5(x2081,x2083,x2084)))+~P8(f10(f30(x2083,x2084),x2082))
% 0.20/0.70 [209]P8(f10(x2091,x2092))+~P8(f10(x2091,f8(x2091,x2093,x2094)))+~P8(f10(f30(x2093,x2094),x2092))
% 0.20/0.70 [273]E(x2731,f15(a32))+E(f20(a12,x2732,f22(x2733,x2734,x2732,x2731),a32,a32),x2733)+~E(f10(f10(a12,x2733),x2734),f20(a12,x2732,x2731,a32,a32))
% 0.20/0.70 [230]~P8(f10(f30(x2301,x2302),x2303))+P8(f10(f30(f21(x2301,x2302),f34(x2302)),f24(x2303,x2304,x2302)))+~P8(f10(f30(f21(x2301,x2302),f34(x2302)),x2304))
% 0.20/0.70 [256]P4(x2561,x2562,x2563)+~P4(x2561,x2564,x2563)+~P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),x2564),x2562))
% 0.20/0.70 [259]E(x2591,x2592)+P8(f10(f10(f27(x2593,x2594),x2591),x2592))+~P8(f10(f10(f19(f27(x2593,x2594),f25(x2594),f36(x2594,f36(x2594,a2))),x2591),x2592))
% 0.20/0.70 [261]P8(f10(f30(x2611,x2612),x2613))+~P8(f10(f30(x2611,x2612),x2614))+~P8(f10(f10(f19(f27(x2611,x2612),f25(x2612),f36(x2612,f36(x2612,a2))),x2613),x2614))
% 0.20/0.70 [283]P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),f10(f10(a12,x2831),x2832)),f10(f10(a12,x2833),x2834)))+~P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),x2832),x2834))+~P8(f10(f10(f19(f27(a13,a32),f25(a32),f36(a32,f36(a32,a2))),x2831),x2833))
% 0.20/0.70 [192]~P4(x1921,x1923,x1925)+~P4(x1921,x1922,f31(x1925,x1924))+P4(x1921,f10(f10(a12,x1922),x1923),x1924)
% 0.20/0.70 [286]E(x2861,x2862)+~P4(x2863,f20(a12,f11(x2864),x2865,a32,a32),x2861)+~P4(x2863,f20(a12,f11(x2864),x2865,a32,a32),x2862)
% 0.20/0.70 [216]~P8(f10(f10(x2161,x2165),x2164))+~P8(f10(f10(f27(x2161,x2162),x2163),x2165))+P8(f10(f10(f27(x2161,x2162),x2163),x2164))
% 0.20/0.70 [217]~P8(f10(f10(x2171,x2173),x2175))+~P8(f10(f10(f27(x2171,x2172),x2175),x2174))+P8(f10(f10(f27(x2171,x2172),x2173),x2174))
% 0.20/0.70 [226]~P8(f10(f10(f27(x2261,x2262),x2263),x2265))+P8(f10(f10(f27(x2261,x2262),x2263),x2264))+~P8(f10(f10(f27(x2261,x2262),x2265),x2264))
% 0.20/0.70 [263]~P8(f10(f10(x2631,x2635),x2634))+P8(f10(f10(f27(x2631,x2632),x2633),x2634))+~P8(f10(f10(f19(f27(x2631,x2632),f25(x2632),f36(x2632,f36(x2632,a2))),x2633),x2635))
% 0.20/0.70 [264]~P8(f10(f10(x2641,x2643),x2645))+P8(f10(f10(f27(x2641,x2642),x2643),x2644))+~P8(f10(f10(f19(f27(x2641,x2642),f25(x2642),f36(x2642,f36(x2642,a2))),x2645),x2644))
% 0.20/0.70 [265]P8(f10(f10(f27(x2651,x2652),x2653),x2654))+~P8(f10(f10(f27(x2651,x2652),x2655),x2654))+~P8(f10(f10(f19(f27(x2651,x2652),f25(x2652),f36(x2652,f36(x2652,a2))),x2653),x2655))
% 0.20/0.70 [266]P8(f10(f10(f27(x2661,x2662),x2663),x2664))+~P8(f10(f10(f27(x2661,x2662),x2663),x2665))+~P8(f10(f10(f19(f27(x2661,x2662),f25(x2662),f36(x2662,f36(x2662,a2))),x2665),x2664))
% 0.20/0.70 [271]~P8(f10(f10(x2711,x2715),x2714))+~P8(f10(f10(f19(f27(x2711,x2712),f25(x2712),f36(x2712,f36(x2712,a2))),x2713),x2715))+P8(f10(f10(f19(f27(x2711,x2712),f25(x2712),f36(x2712,f36(x2712,a2))),x2713),x2714))
% 0.20/0.70 [272]~P8(f10(f10(x2721,x2723),x2725))+~P8(f10(f10(f19(f27(x2721,x2722),f25(x2722),f36(x2722,f36(x2722,a2))),x2725),x2724))+P8(f10(f10(f19(f27(x2721,x2722),f25(x2722),f36(x2722,f36(x2722,a2))),x2723),x2724))
% 0.20/0.70 [284]~P8(f10(f10(f19(f27(x2841,x2842),f25(x2842),f36(x2842,f36(x2842,a2))),x2845),x2844))+~P8(f10(f10(f19(f27(x2841,x2842),f25(x2842),f36(x2842,f36(x2842,a2))),x2843),x2845))+P8(f10(f10(f19(f27(x2841,x2842),f25(x2842),f36(x2842,f36(x2842,a2))),x2843),x2844))
% 0.20/0.70 [233]~P4(x2331,x2333,x2336)+P4(x2331,f16(x2332,x2333,x2334),x2335)+~P4(f29(x2331,x2334,x2336,a35),x2332,x2335)
% 0.20/0.70 [238]E(x2381,x2382)+E(x2383,x2384)+~P8(f10(f10(f21(x2385,x2386),f24(x2384,x2382,x2386)),f24(x2383,x2381,x2386)))
% 0.20/0.70 [240]E(x2401,x2402)+~P8(f10(f10(f21(x2403,x2404),f24(x2402,x2405,x2404)),f24(x2401,x2406,x2404)))+P8(f10(f10(x2403,x2402),x2401))
% 0.20/0.70 [242]E(x2421,x2422)+~P8(f10(f10(f21(x2423,x2424),f24(x2425,x2421,x2424)),f24(x2426,x2422,x2424)))+P8(f10(f10(f21(x2423,x2424),x2421),x2422))
% 0.20/0.70 [243]~P8(f10(f10(f21(x2431,x2434),f24(x2432,x2435,x2434)),f24(x2433,x2436,x2434)))+P8(f10(f10(x2431,x2432),x2433))+P8(f10(f10(f21(x2431,x2434),x2435),x2436))
% 0.20/0.70 [239]~P8(f10(f10(x2392,x2395),x2396))+~P8(f10(f10(x2391,x2395),x2396))+P8(f10(f10(f18(x2391,x2392,f36(x2393,f36(x2394,a2))),x2395),x2396))
% 0.20/0.70 [247]P8(f10(f10(x2471,x2472),x2473))+P8(f10(f10(x2474,x2472),x2473))+~P8(f10(f10(f19(x2471,x2474,f36(x2475,f36(x2476,a2))),x2472),x2473))
% 0.20/0.70 [287]~P8(f10(f10(x2871,x2876),x2878))+~P8(f10(f10(x2872,x2878),x2877))+P8(f10(f10(f28(x2871,x2872,x2873,x2874,x2875),x2876),x2877))
% 0.20/0.70 [196]P8(f10(x1961,x1962))+P8(f10(x1961,x1963))+~P8(f10(f10(x1964,x1962),f38(x1961,x1964)))+~P8(f10(f30(x1964,a33),x1963))
% 0.20/0.70 [197]P8(f10(x1971,x1972))+P8(f10(x1971,x1973))+~P8(f10(f10(x1974,x1972),f39(x1971,x1974)))+~P8(f10(f30(x1974,a33),x1973))
% 0.20/0.70 [203]P8(f10(x2031,x2032))+~P8(f10(f10(x2033,x2034),f38(x2031,x2033)))+~P8(f10(f30(x2033,a33),x2032))+P8(f10(f30(x2033,a33),x2034))
% 0.20/0.70 [204]P8(f10(x2041,x2042))+~P8(f10(f10(x2043,x2044),f39(x2041,x2043)))+~P8(f10(f30(x2043,a33),x2042))+P8(f10(f30(x2043,a33),x2044))
% 0.20/0.70 [222]P8(f10(x2221,x2222))+P8(f10(x2221,x2223))+~P8(f10(f10(x2224,x2222),f5(x2221,x2224,x2225)))+~P8(f10(f30(x2224,x2225),x2223))
% 0.20/0.70 [223]P8(f10(x2231,x2232))+P8(f10(x2231,x2233))+~P8(f10(f10(x2234,x2232),f8(x2231,x2234,x2235)))+~P8(f10(f30(x2234,x2235),x2233))
% 0.20/0.70 [237]~P4(x2374,x2372,x2375)+~P4(f29(x2374,x2373,x2375,a35),x2371,x2376)+~P8(f10(a3,x2372))+~P8(f10(a3,x2371))+P8(f10(a3,f16(x2371,x2372,x2373)))
% 0.20/0.70 %EqnAxiom
% 0.20/0.70 [1]E(x11,x11)
% 0.20/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.70 [4]~E(x41,x42)+E(f10(x41,x43),f10(x42,x43))
% 0.20/0.70 [5]~E(x51,x52)+E(f10(x53,x51),f10(x53,x52))
% 0.20/0.70 [6]~E(x61,x62)+E(f11(x61),f11(x62))
% 0.20/0.70 [7]~E(x71,x72)+E(f19(x71,x73,x74),f19(x72,x73,x74))
% 0.20/0.70 [8]~E(x81,x82)+E(f19(x83,x81,x84),f19(x83,x82,x84))
% 0.20/0.70 [9]~E(x91,x92)+E(f19(x93,x94,x91),f19(x93,x94,x92))
% 0.20/0.70 [10]~E(x101,x102)+E(f15(x101),f15(x102))
% 0.20/0.70 [11]~E(x111,x112)+E(f20(x111,x113,x114,x115,x116),f20(x112,x113,x114,x115,x116))
% 0.20/0.70 [12]~E(x121,x122)+E(f20(x123,x121,x124,x125,x126),f20(x123,x122,x124,x125,x126))
% 0.20/0.70 [13]~E(x131,x132)+E(f20(x133,x134,x131,x135,x136),f20(x133,x134,x132,x135,x136))
% 0.20/0.70 [14]~E(x141,x142)+E(f20(x143,x144,x145,x141,x146),f20(x143,x144,x145,x142,x146))
% 0.20/0.70 [15]~E(x151,x152)+E(f20(x153,x154,x155,x156,x151),f20(x153,x154,x155,x156,x152))
% 0.20/0.70 [16]~E(x161,x162)+E(f16(x161,x163,x164),f16(x162,x163,x164))
% 0.20/0.70 [17]~E(x171,x172)+E(f16(x173,x171,x174),f16(x173,x172,x174))
% 0.20/0.70 [18]~E(x181,x182)+E(f16(x183,x184,x181),f16(x183,x184,x182))
% 0.20/0.70 [19]~E(x191,x192)+E(f25(x191),f25(x192))
% 0.20/0.70 [20]~E(x201,x202)+E(f26(x201,x203,x204),f26(x202,x203,x204))
% 0.20/0.70 [21]~E(x211,x212)+E(f26(x213,x211,x214),f26(x213,x212,x214))
% 0.20/0.70 [22]~E(x221,x222)+E(f26(x223,x224,x221),f26(x223,x224,x222))
% 0.20/0.70 [23]~E(x231,x232)+E(f7(x231,x233,x234),f7(x232,x233,x234))
% 0.20/0.70 [24]~E(x241,x242)+E(f7(x243,x241,x244),f7(x243,x242,x244))
% 0.20/0.70 [25]~E(x251,x252)+E(f7(x253,x254,x251),f7(x253,x254,x252))
% 0.20/0.70 [26]~E(x261,x262)+E(f17(x261,x263),f17(x262,x263))
% 0.20/0.70 [27]~E(x271,x272)+E(f17(x273,x271),f17(x273,x272))
% 0.20/0.70 [28]~E(x281,x282)+E(f29(x281,x283,x284,x285),f29(x282,x283,x284,x285))
% 0.20/0.70 [29]~E(x291,x292)+E(f29(x293,x291,x294,x295),f29(x293,x292,x294,x295))
% 0.20/0.70 [30]~E(x301,x302)+E(f29(x303,x304,x301,x305),f29(x303,x304,x302,x305))
% 0.20/0.70 [31]~E(x311,x312)+E(f29(x313,x314,x315,x311),f29(x313,x314,x315,x312))
% 0.20/0.70 [32]~E(x321,x322)+E(f36(x321,x323),f36(x322,x323))
% 0.20/0.70 [33]~E(x331,x332)+E(f36(x333,x331),f36(x333,x332))
% 0.20/0.70 [34]~E(x341,x342)+E(f21(x341,x343),f21(x342,x343))
% 0.20/0.70 [35]~E(x351,x352)+E(f21(x353,x351),f21(x353,x352))
% 0.20/0.70 [36]~E(x361,x362)+E(f30(x361,x363),f30(x362,x363))
% 0.20/0.70 [37]~E(x371,x372)+E(f30(x373,x371),f30(x373,x372))
% 0.20/0.70 [38]~E(x381,x382)+E(f27(x381,x383),f27(x382,x383))
% 0.20/0.70 [39]~E(x391,x392)+E(f27(x393,x391),f27(x393,x392))
% 0.20/0.70 [40]~E(x401,x402)+E(f18(x401,x403,x404),f18(x402,x403,x404))
% 0.20/0.70 [41]~E(x411,x412)+E(f18(x413,x411,x414),f18(x413,x412,x414))
% 0.20/0.70 [42]~E(x421,x422)+E(f18(x423,x424,x421),f18(x423,x424,x422))
% 0.20/0.70 [43]~E(x431,x432)+E(f24(x431,x433,x434),f24(x432,x433,x434))
% 0.20/0.70 [44]~E(x441,x442)+E(f24(x443,x441,x444),f24(x443,x442,x444))
% 0.20/0.70 [45]~E(x451,x452)+E(f24(x453,x454,x451),f24(x453,x454,x452))
% 0.20/0.70 [46]~E(x461,x462)+E(f38(x461,x463),f38(x462,x463))
% 0.20/0.70 [47]~E(x471,x472)+E(f38(x473,x471),f38(x473,x472))
% 0.20/0.70 [48]~E(x481,x482)+E(f31(x481,x483),f31(x482,x483))
% 0.20/0.70 [49]~E(x491,x492)+E(f31(x493,x491),f31(x493,x492))
% 0.20/0.70 [50]~E(x501,x502)+E(f14(x501),f14(x502))
% 0.20/0.70 [51]~E(x511,x512)+E(f8(x511,x513,x514),f8(x512,x513,x514))
% 0.20/0.70 [52]~E(x521,x522)+E(f8(x523,x521,x524),f8(x523,x522,x524))
% 0.20/0.70 [53]~E(x531,x532)+E(f8(x533,x534,x531),f8(x533,x534,x532))
% 0.20/0.70 [54]~E(x541,x542)+E(f4(x541),f4(x542))
% 0.20/0.70 [55]~E(x551,x552)+E(f9(x551,x553,x554),f9(x552,x553,x554))
% 0.20/0.70 [56]~E(x561,x562)+E(f9(x563,x561,x564),f9(x563,x562,x564))
% 0.20/0.70 [57]~E(x571,x572)+E(f9(x573,x574,x571),f9(x573,x574,x572))
% 0.20/0.70 [58]~E(x581,x582)+E(f22(x581,x583,x584,x585),f22(x582,x583,x584,x585))
% 0.20/0.70 [59]~E(x591,x592)+E(f22(x593,x591,x594,x595),f22(x593,x592,x594,x595))
% 0.20/0.70 [60]~E(x601,x602)+E(f22(x603,x604,x601,x605),f22(x603,x604,x602,x605))
% 0.20/0.70 [61]~E(x611,x612)+E(f22(x613,x614,x615,x611),f22(x613,x614,x615,x612))
% 0.20/0.70 [62]~E(x621,x622)+E(f5(x621,x623,x624),f5(x622,x623,x624))
% 0.20/0.70 [63]~E(x631,x632)+E(f5(x633,x631,x634),f5(x633,x632,x634))
% 0.20/0.70 [64]~E(x641,x642)+E(f5(x643,x644,x641),f5(x643,x644,x642))
% 0.20/0.70 [65]~E(x651,x652)+E(f39(x651,x653),f39(x652,x653))
% 0.20/0.70 [66]~E(x661,x662)+E(f39(x663,x661),f39(x663,x662))
% 0.20/0.70 [67]~E(x671,x672)+E(f34(x671),f34(x672))
% 0.20/0.70 [68]~E(x681,x682)+E(f28(x681,x683,x684,x685,x686),f28(x682,x683,x684,x685,x686))
% 0.20/0.70 [69]~E(x691,x692)+E(f28(x693,x691,x694,x695,x696),f28(x693,x692,x694,x695,x696))
% 0.20/0.70 [70]~E(x701,x702)+E(f28(x703,x704,x701,x705,x706),f28(x703,x704,x702,x705,x706))
% 0.20/0.70 [71]~E(x711,x712)+E(f28(x713,x714,x715,x711,x716),f28(x713,x714,x715,x712,x716))
% 0.20/0.70 [72]~E(x721,x722)+E(f28(x723,x724,x725,x726,x721),f28(x723,x724,x725,x726,x722))
% 0.20/0.70 [73]~E(x731,x732)+E(f23(x731,x733,x734),f23(x732,x733,x734))
% 0.20/0.70 [74]~E(x741,x742)+E(f23(x743,x741,x744),f23(x743,x742,x744))
% 0.20/0.70 [75]~E(x751,x752)+E(f23(x753,x754,x751),f23(x753,x754,x752))
% 0.20/0.70 [76]~E(x761,x762)+E(f6(x761,x763,x764),f6(x762,x763,x764))
% 0.20/0.70 [77]~E(x771,x772)+E(f6(x773,x771,x774),f6(x773,x772,x774))
% 0.20/0.70 [78]~E(x781,x782)+E(f6(x783,x784,x781),f6(x783,x784,x782))
% 0.20/0.70 [79]~P1(x791)+P1(x792)+~E(x791,x792)
% 0.20/0.70 [80]~P8(x801)+P8(x802)+~E(x801,x802)
% 0.20/0.70 [81]~P6(x811)+P6(x812)+~E(x811,x812)
% 0.20/0.70 [82]P4(x822,x823,x824)+~E(x821,x822)+~P4(x821,x823,x824)
% 0.20/0.70 [83]P4(x833,x832,x834)+~E(x831,x832)+~P4(x833,x831,x834)
% 0.20/0.70 [84]P4(x843,x844,x842)+~E(x841,x842)+~P4(x843,x844,x841)
% 0.20/0.70 [85]~P7(x851)+P7(x852)+~E(x851,x852)
% 0.20/0.70 [86]~P2(x861)+P2(x862)+~E(x861,x862)
% 0.20/0.70 [87]P5(x872,x873)+~E(x871,x872)+~P5(x871,x873)
% 0.20/0.70 [88]P5(x883,x882)+~E(x881,x882)+~P5(x883,x881)
% 0.20/0.70 [89]P3(x892,x893,x894)+~E(x891,x892)+~P3(x891,x893,x894)
% 0.20/0.70 [90]P3(x903,x902,x904)+~E(x901,x902)+~P3(x903,x901,x904)
% 0.20/0.70 [91]P3(x913,x914,x912)+~E(x911,x912)+~P3(x913,x914,x911)
% 0.20/0.70
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 cnf(295,plain,
% 0.20/0.70 ($false),
% 0.20/0.70 inference(scs_inference,[],[100,142,207]),
% 0.20/0.70 ['proof']).
% 0.20/0.70 % SZS output end Proof
% 0.20/0.70 % Total time :0.010000s
%------------------------------------------------------------------------------