TSTP Solution File: LCL856-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL856-1 : 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 : n005.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 1.13s 1.15s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL856-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.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 : Thu Aug 24 22:25:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 1.07/1.12 %-------------------------------------------
% 1.07/1.12 % File :CSE---1.6
% 1.07/1.12 % Problem :theBenchmark
% 1.07/1.12 % Transform :cnf
% 1.07/1.12 % Format :tptp:raw
% 1.07/1.12 % Command :java -jar mcs_scs.jar %d %s
% 1.07/1.12
% 1.07/1.12 % Result :Theorem 0.500000s
% 1.07/1.12 % Output :CNFRefutation 0.500000s
% 1.07/1.12 %-------------------------------------------
% 1.07/1.13 %------------------------------------------------------------------------------
% 1.07/1.13 % File : LCL856-1 : TPTP v8.1.2. Released v4.1.0.
% 1.07/1.13 % Domain : Logic Calculi
% 1.07/1.13 % Problem : Strong normalization of typed lambda calculus 280_1
% 1.07/1.13 % Version : Especial.
% 1.07/1.13 % English :
% 1.07/1.13
% 1.07/1.13 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 1.07/1.13 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 1.07/1.13 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.07/1.13 % Source : [Nip10]
% 1.07/1.13 % Names : StrongNorm-280_1 [Nip10]
% 1.07/1.13
% 1.07/1.13 % Status : Unsatisfiable
% 1.07/1.13 % Rating : 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.17 v5.2.0, 0.06 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0
% 1.07/1.13 % Syntax : Number of clauses : 187 ( 48 unt; 15 nHn; 100 RR)
% 1.07/1.13 % Number of literals : 375 ( 97 equ; 185 neg)
% 1.07/1.13 % Maximal clause size : 5 ( 2 avg)
% 1.07/1.13 % Maximal term depth : 6 ( 2 avg)
% 1.07/1.13 % Number of predicates : 11 ( 10 usr; 0 prp; 1-4 aty)
% 1.07/1.13 % Number of functors : 38 ( 38 usr; 11 con; 0-5 aty)
% 1.07/1.13 % Number of variables : 614 ( 113 sgn)
% 1.07/1.13 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.07/1.13
% 1.07/1.13 % Comments :
% 1.07/1.13 %------------------------------------------------------------------------------
% 1.07/1.13 cnf(cls_not__Nil__step1_0,axiom,
% 1.07/1.13 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_not__step1__Nil_0,axiom,
% 1.07/1.13 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_type_Osimps_I2_J_1,axiom,
% 1.07/1.13 ( c_Type_Otype_OFun(V_type1,V_type2) != c_Type_Otype_OFun(V_type1_H,V_type2_H)
% 1.07/1.13 | V_type2 = V_type2_H ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_type_Osimps_I2_J_0,axiom,
% 1.07/1.13 ( c_Type_Otype_OFun(V_type1,V_type2) != c_Type_Otype_OFun(V_type1_H,V_type2_H)
% 1.07/1.13 | V_type1 = V_type1_H ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_App_0,axiom,
% 1.07/1.13 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 1.07/1.13 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 1.07/1.13 | ~ c_Type_Otyping(V_env,V_s,c_Type_Otype_OFun(V_T,V_U)) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 1.07/1.13 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.07/1.13 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 1.07/1.13 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) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 1.07/1.13 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 1.07/1.13 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 1.07/1.13 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) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_apps__preserves__betas_0,axiom,
% 1.07/1.13 ( 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)))
% 1.07/1.13 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_lift__type_0,axiom,
% 1.07/1.13 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
% 1.07/1.13 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_subst__lemma_0,axiom,
% 1.07/1.13 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 1.07/1.13 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 1.07/1.13 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_head__Var__reduction_0,axiom,
% 1.07/1.13 ( c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB)
% 1.07/1.13 | ~ 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)) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_App__eq__foldl__conv_4,axiom,
% 1.07/1.13 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) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_App__eq__foldl__conv_0,axiom,
% 1.07/1.13 ( 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)
% 1.07/1.13 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_Abs_0,axiom,
% 1.07/1.13 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),c_Type_Otype_OFun(V_T,V_U))
% 1.07/1.13 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_shift__eq_0,axiom,
% 1.07/1.13 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_foldl__Nil_0,axiom,
% 1.07/1.13 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_listsp_ONil_0,axiom,
% 1.07/1.13 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_App__eq__foldl__conv_2,axiom,
% 1.07/1.13 ( 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)
% 1.07/1.13 | 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)
% 1.07/1.13 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_Var__eq__apps__conv_1,axiom,
% 1.07/1.13 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.07/1.13 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_Var__eq__apps__conv_2,axiom,
% 1.07/1.13 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) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_subst__type__IT_0,axiom,
% 1.07/1.13 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))
% 1.07/1.13 | ~ c_Type_Otyping(V_e,V_u,V_U)
% 1.07/1.13 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 1.07/1.13 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 1.07/1.13 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_head__Var__reduction_1,axiom,
% 1.07/1.13 ( 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)
% 1.07/1.13 | ~ 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)) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_IT_OVar_0,axiom,
% 1.07/1.13 ( 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)))
% 1.07/1.13 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 1.07/1.13 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_rtranclp__idemp_0,axiom,
% 1.07/1.13 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 1.07/1.13 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) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_inf2E_0,axiom,
% 1.07/1.13 ( hBOOL(hAPP(hAPP(V_A,V_x),V_y))
% 1.07/1.13 | ~ 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)) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_inf2E_1,axiom,
% 1.07/1.13 ( hBOOL(hAPP(hAPP(V_B,V_x),V_y))
% 1.07/1.13 | ~ 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)) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_app__Var__IT_0,axiom,
% 1.07/1.13 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 1.07/1.13 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_subst__lift_0,axiom,
% 1.07/1.13 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_tranclp_Or__into__trancl_0,axiom,
% 1.07/1.13 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b))
% 1.07/1.13 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 1.07/1.13 ( ~ class_Lattices_Olattice(T_a)
% 1.07/1.13 | 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) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_sup__left__idem_0,axiom,
% 1.07/1.13 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.07/1.13 | 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) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 1.07/1.13 ( ~ class_Lattices_Olattice(T_a)
% 1.07/1.14 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_sup__commute_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.07/1.14 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtrancl__beta__App_0,axiom,
% 1.07/1.14 ( 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)))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Lambda_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 1.07/1.14 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_apps__eq__tail__conv_0,axiom,
% 1.07/1.14 ( 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)
% 1.07/1.14 | V_r = V_s ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 1.07/1.14 ( 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)))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 1.07/1.14 ( 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)))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 1.07/1.14 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.07/1.14 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Olattice(T_a)
% 1.07/1.14 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__commute_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.07/1.14 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Olattice(T_a)
% 1.07/1.14 | 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Olattice(T_a)
% 1.07/1.14 | 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_sup__left__commute_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.07/1.14 | 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_sup__assoc_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.07/1.14 | 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_sup__idem_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.07/1.14 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__sup__distrib2_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 1.07/1.14 | 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__sup__distrib1_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 1.07/1.14 | 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 1.07/1.14 ( 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)))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_pred__comp_Ointros_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(V_r,V_s,T_a,T_b,T_c),V_a),V_c))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(V_s,V_b),V_c))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_tranclp__rtranclp__tranclp_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtranclp__tranclp__tranclp_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_z))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_y),V_z))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 1.07/1.14 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 1.07/1.14 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtranclp__trans_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_subst__preserves__beta2_0,axiom,
% 1.07/1.14 ( 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)))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtranclp__into__tranclp2_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtranclp__into__tranclp1_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 1.07/1.14 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)) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_wfP__trancl_0,axiom,
% 1.07/1.14 ( c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(V_r,T_a),T_a)
% 1.07/1.14 | ~ c_Wellfounded_OwfP(V_r,T_a) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Nitpick_Ortranclp__def_2,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_subst__preserves__beta_H_0,axiom,
% 1.07/1.14 ( 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)))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 1.07/1.14 ( 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)))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Var__IT_0,axiom,
% 1.07/1.14 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 1.07/1.14 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_r__into__rtranclp_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_sup2E_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(V_B,V_x),V_y))
% 1.07/1.14 | hBOOL(hAPP(hAPP(V_A,V_x),V_y))
% 1.07/1.14 | ~ 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)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_sup2CI_0,axiom,
% 1.07/1.14 ( 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))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_y)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_sup2CI_1,axiom,
% 1.07/1.14 ( 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))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(V_A,V_x),V_y)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Beta_0,axiom,
% 1.07/1.14 ( 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)))
% 1.07/1.14 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 1.07/1.14 | ~ 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))) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_lift__IT_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))
% 1.07/1.14 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 1.07/1.14 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) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Olattice(T_a)
% 1.07/1.14 | 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Olattice(T_a)
% 1.07/1.14 | 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__left__commute_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.07/1.14 | 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__assoc_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.07/1.14 | 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 1.07/1.14 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 1.07/1.14 | V_dB = V_dB_H ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 1.07/1.14 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Var__eq__apps__conv_0,axiom,
% 1.07/1.14 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.07/1.14 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_apps__preserves__beta_0,axiom,
% 1.07/1.14 ( 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)))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_sup__inf__absorb_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Olattice(T_a)
% 1.07/1.14 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_beta_0,axiom,
% 1.07/1.14 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)))) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_lift__preserves__beta_H_0,axiom,
% 1.07/1.14 ( 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)))
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_var__app__type__eq_0,axiom,
% 1.07/1.14 ( V_T = V_U
% 1.07/1.14 | ~ 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)
% 1.07/1.14 | ~ 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) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 1.07/1.14 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 1.07/1.14 | V_dB2 = V_dB2_H ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 1.07/1.14 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 1.07/1.14 | V_dB1 = V_dB1_H ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_inf__sup__absorb_0,axiom,
% 1.07/1.14 ( ~ class_Lattices_Olattice(T_a)
% 1.07/1.14 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 1.07/1.14 ( 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)
% 1.07/1.14 | V_rs = V_ss ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 1.07/1.14 ( 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)
% 1.07/1.14 | V_r = V_s ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 1.07/1.14 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 1.07/1.14 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtranclp__reflcl_0,axiom,
% 1.07/1.14 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) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_Nitpick_Ortranclp__def_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b))
% 1.07/1.14 | V_a = V_b
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_rtranclpD_0,axiom,
% 1.07/1.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_R,T_a),V_a),V_b))
% 1.07/1.14 | V_a = V_b
% 1.07/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_R,T_a),V_a),V_b)) ) ).
% 1.07/1.14
% 1.07/1.14 cnf(cls_apps__preserves__beta2_0,axiom,
% 1.07/1.14 ( 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)))
% 1.13/1.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.13/1.14
% 1.13/1.15 cnf(cls_rtranclp__sup__rtranclp_0,axiom,
% 1.13/1.15 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) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_sup__inf__distrib2_0,axiom,
% 1.13/1.15 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 1.13/1.15 | 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) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_sup__inf__distrib1_0,axiom,
% 1.13/1.15 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 1.13/1.15 | 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) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 1.13/1.15 ( ~ class_Lattices_Olattice(T_a)
% 1.13/1.15 | 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) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_inf__left__idem_0,axiom,
% 1.13/1.15 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.13/1.15 | 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) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_subst__Var__IT_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))
% 1.13/1.15 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_reflcl__tranclp_0,axiom,
% 1.13/1.15 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) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_inf__idem_0,axiom,
% 1.13/1.15 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.13/1.15 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_subst__eq_0,axiom,
% 1.13/1.15 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 1.13/1.15 ( 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)
% 1.13/1.15 | V_rs = V_ss ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 1.13/1.15 ( 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)
% 1.13/1.15 | V_m = V_n ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 1.13/1.15 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_tranclp__trans_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_z))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_y),V_z))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_y)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 1.13/1.15 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 1.13/1.15 | V_nat = V_nat_H ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 1.13/1.15 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 1.13/1.15 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_subst__App_0,axiom,
% 1.13/1.15 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)) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_inf2I_0,axiom,
% 1.13/1.15 ( 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))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_y))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_A,V_x),V_y)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_tranclp_Otrancl__into__trancl_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_tranclp__into__tranclp2_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_b),V_c))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp__downward_0,axiom,
% 1.13/1.15 ( c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp_Ocases_0,axiom,
% 1.13/1.15 ( c_Wellfounded_Oaccp(V_r,V_y,T_a)
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp__induct_2,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_a))
% 1.13/1.15 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a)))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp__induct_1,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_a))
% 1.13/1.15 | hBOOL(hAPP(V_P,V_y))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_y),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a)))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_not__accp__down_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(V_R,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(V_R,V_x,T_a)),V_x))
% 1.13/1.15 | c_Wellfounded_Oaccp(V_R,V_x,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_subject__reduction_0,axiom,
% 1.13/1.15 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 1.13/1.15 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp__wfPD_0,axiom,
% 1.13/1.15 ( c_Wellfounded_Oaccp(V_r,V_x,T_a)
% 1.13/1.15 | ~ c_Wellfounded_OwfP(V_r,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_conversep__conversep_0,axiom,
% 1.13/1.15 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_beta__cases_I1_J_0,axiom,
% 1.13/1.15 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp_OaccI_0,axiom,
% 1.13/1.15 ( c_Wellfounded_Oaccp(V_r,V_x,T_a)
% 1.13/1.15 | hBOOL(hAPP(hAPP(V_r,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(V_r,V_x,T_a)),V_x)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_conversep__eq_0,axiom,
% 1.13/1.15 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_tranclp__converseD_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a),V_x),V_y))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_tranclp__converseI_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a),V_x),V_y)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_typing__elims_I1_J_0,axiom,
% 1.13/1.15 ( hAPP(V_e,V_i) = V_T
% 1.13/1.15 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_not__accp__down_1,axiom,
% 1.13/1.15 ( ~ c_Wellfounded_Oaccp(V_R,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(V_R,V_x,T_a),T_a)
% 1.13/1.15 | c_Wellfounded_Oaccp(V_R,V_x,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_tranclp__converse_0,axiom,
% 1.13/1.15 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) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_termi__implies__IT_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_IT__implies__termi_0,axiom,
% 1.13/1.15 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
% 1.13/1.15 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp__downwards__aux_0,axiom,
% 1.13/1.15 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp__downwards_0,axiom,
% 1.13/1.15 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_subst__preserves__beta_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp_Oinducts_2,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_x))
% 1.13/1.15 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_x,t_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp_Oinducts_1,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_x))
% 1.13/1.15 | hBOOL(hAPP(V_P,V_y))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_y),v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_x,t_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_double__induction__lemma_0,axiom,
% 1.13/1.15 ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,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),tc_Lambda_OdB)
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)
% 1.13/1.15 | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,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),tc_Lambda_OdB) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp_Oinduct_2,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_x))
% 1.13/1.15 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_x,t_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp_Oinduct_1,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_x))
% 1.13/1.15 | hBOOL(hAPP(V_P,V_y))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_y),v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_x,t_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_conversep_Ointros_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_conversep_Ocases_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_conversep__iff_1,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_conversepD_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp_Oinducts_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_x))
% 1.13/1.15 | c_Wellfounded_Oaccp(V_r,V_ya,t_a)
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_ya),v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_x,t_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp_Oinduct_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_x))
% 1.13/1.15 | c_Wellfounded_Oaccp(V_r,V_ya,t_a)
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_ya),v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_x,t_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_converse__join_0,axiom,
% 1.13/1.15 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))) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_rtranclp__converseD_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_rtranclp__converseI_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp__induct_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_a))
% 1.13/1.15 | c_Wellfounded_Oaccp(V_r,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a),T_a)
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_typing_OVar_0,axiom,
% 1.13/1.15 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_converse__meet_0,axiom,
% 1.13/1.15 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))) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp_OaccI_1,axiom,
% 1.13/1.15 ( c_Wellfounded_Oaccp(V_r,V_x,T_a)
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(V_r,V_x,T_a),T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accpI_1,axiom,
% 1.13/1.15 ( c_Wellfounded_Oaccp(V_r,V_x,T_a)
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(V_r,V_x,T_a),T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accpI_0,axiom,
% 1.13/1.15 ( c_Wellfounded_Oaccp(V_r,V_x,T_a)
% 1.13/1.15 | hBOOL(hAPP(hAPP(V_r,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(V_r,V_x,T_a)),V_x)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_appR_0,axiom,
% 1.13/1.15 ( 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)))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_appL_0,axiom,
% 1.13/1.15 ( 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)))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp__induct__rule_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_a))
% 1.13/1.15 | c_Wellfounded_Oaccp(V_r,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a),T_a)
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_subject__reduction_H_0,axiom,
% 1.13/1.15 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 1.13/1.15 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_lift__preserves__beta_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp__induct__rule_2,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_a))
% 1.13/1.15 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a)))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_accp__induct__rule_1,axiom,
% 1.13/1.15 ( hBOOL(hAPP(V_P,V_a))
% 1.13/1.15 | hBOOL(hAPP(V_P,V_y))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(V_r,V_y),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a)))
% 1.13/1.15 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_converse__pred__comp_0,axiom,
% 1.13/1.15 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) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_type__implies__IT_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(c_InductTermi_OIT,V_t))
% 1.13/1.15 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_abs_0,axiom,
% 1.13/1.15 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_conjecture_0,negated_conjecture,
% 1.13/1.15 c_Type_Otyping(v_e,v_t,v_T) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_conjecture_1,negated_conjecture,
% 1.13/1.15 ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 1.13/1.15 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 1.13/1.15 | ~ class_Lattices_Olattice(T_1) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 1.13/1.15 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 1.13/1.15 | ~ class_Lattices_Olattice(T_1) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 1.13/1.15 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 1.13/1.15 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 1.13/1.15 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 1.13/1.15 | ~ class_Lattices_Olattice(T_1) ) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 1.13/1.15 class_Lattices_Oupper__semilattice(tc_nat) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 1.13/1.15 class_Lattices_Olower__semilattice(tc_nat) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 1.13/1.15 class_Lattices_Odistrib__lattice(tc_nat) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 1.13/1.15 class_Lattices_Olattice(tc_nat) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 1.13/1.15 class_Lattices_Oupper__semilattice(tc_bool) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 1.13/1.15 class_Lattices_Olower__semilattice(tc_bool) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 1.13/1.15 class_Lattices_Odistrib__lattice(tc_bool) ).
% 1.13/1.15
% 1.13/1.15 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 1.13/1.15 class_Lattices_Olattice(tc_bool) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 1.13/1.15 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 1.13/1.15
% 1.13/1.15 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 1.13/1.15 ( V_X = V_Y
% 1.13/1.15 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 1.13/1.15
% 1.13/1.15 %------------------------------------------------------------------------------
% 1.13/1.15 %-------------------------------------------
% 1.13/1.15 % Proof found
% 1.13/1.15 % SZS status Theorem for theBenchmark
% 1.13/1.15 % SZS output start Proof
% 1.13/1.15 %ClaNum:276(EqnAxiom:90)
% 1.13/1.15 %VarNum:1314(SingletonVarNum:576)
% 1.13/1.15 %MaxLitNum:5
% 1.13/1.15 %MaxfuncDepth:5
% 1.13/1.15 %SharedTerms:29
% 1.13/1.15 %goalClause: 100 133
% 1.13/1.15 %singleGoalClaCount:2
% 1.13/1.15 [91]P1(a1)
% 1.13/1.15 [92]P1(a2)
% 1.13/1.15 [93]P8(a1)
% 1.13/1.15 [94]P8(a2)
% 1.13/1.15 [95]P9(a1)
% 1.13/1.15 [96]P9(a2)
% 1.13/1.15 [97]P2(a1)
% 1.13/1.15 [98]P2(a2)
% 1.13/1.15 [100]P3(a33,a35,a34)
% 1.13/1.15 [133]~P6(f24(a12,a29,a29),a35,a29)
% 1.13/1.15 [99]P10(f14(a3,f10(x991)))
% 1.13/1.15 [103]E(f24(f23(x1031),x1031,x1031),f23(x1031))
% 1.13/1.15 [101]P4(x1011,f15(x1012),x1012)
% 1.13/1.15 [105]P3(x1051,f10(x1052),f14(x1051,x1052))
% 1.13/1.15 [127]~E(f10(x1271),f13(x1272))
% 1.13/1.15 [102]E(f16(f10(x1021),x1022,x1021),x1022)
% 1.13/1.15 [109]E(f24(f25(x1091,x1092),x1092,x1092),f25(f24(x1091,x1092,x1092),x1092))
% 1.13/1.15 [106]P10(f14(f14(f23(x1061),x1062),x1062))
% 1.13/1.15 [114]P10(f14(f14(a12,f14(f14(a11,f13(x1141)),x1142)),f16(x1141,x1142,f4(a1))))
% 1.13/1.15 [115]E(f19(f25(f19(x1151,f23(x1152),f32(x1152,f32(x1152,a2))),x1152),f23(x1152),f32(x1152,f32(x1152,a2))),f19(f25(x1151,x1152),f23(x1152),f32(x1152,f32(x1152,a2))))
% 1.13/1.15 [116]E(f19(f25(f19(f25(x1161,x1162),f23(x1162),f32(x1162,f32(x1162,a2))),x1162),f23(x1162),f32(x1162,f32(x1162,a2))),f19(f25(x1161,x1162),f23(x1162),f32(x1162,f32(x1162,a2))))
% 1.13/1.15 [132]~P10(f14(f14(a12,f10(x1321)),x1322))
% 1.13/1.15 [134]~P5(x1341,x1342,f15(x1343),x1343)
% 1.13/1.15 [135]~P5(x1351,f15(x1352),x1353,x1352)
% 1.13/1.15 [104]E(f16(f17(x1041,x1042),x1043,x1042),x1041)
% 1.13/1.15 [107]E(f24(f24(x1071,x1072,x1073),x1073,x1072),x1071)
% 1.13/1.15 [128]~E(f13(x1281),f14(f14(a11,x1282),x1283))
% 1.13/1.15 [129]~E(f10(x1291),f14(f14(a11,x1292),x1293))
% 1.13/1.15 [130]~E(f14(f14(a11,x1301),x1302),f13(x1303))
% 1.13/1.15 [131]~E(f14(f14(a11,x1311),x1312),f10(x1313))
% 1.13/1.15 [108]E(f14(f14(a11,f17(x1081,x1082)),f17(x1083,x1082)),f17(f14(f14(a11,x1081),x1083),x1082))
% 1.13/1.15 [124]E(f19(f25(f19(f19(f25(x1241,x1242),f23(x1242),f32(x1242,f32(x1242,a2))),f19(f25(x1243,x1242),f23(x1242),f32(x1242,f32(x1242,a2))),f32(x1242,f32(x1242,a2))),x1242),f23(x1242),f32(x1242,f32(x1242,a2))),f19(f25(f19(x1241,x1243,f32(x1242,f32(x1242,a2))),x1242),f23(x1242),f32(x1242,f32(x1242,a2))))
% 1.13/1.15 [123]P10(f14(f14(f19(f25(x1231,x1232),f23(x1232),f32(x1232,f32(x1232,a2))),x1233),x1233))
% 1.13/1.15 [111]E(f14(f27(x1111,x1112,x1113,x1114),x1112),x1113)
% 1.13/1.15 [117]E(f20(x1171,x1172,f15(x1173),x1174,x1173),x1172)
% 1.13/1.15 [137]~E(f20(a11,f10(x1371),x1372,a29,a29),f20(a11,f13(x1373),x1374,a29,a29))
% 1.13/1.15 [110]E(f14(f14(a11,f16(x1101,x1102,x1103)),f16(x1104,x1102,x1103)),f16(f14(f14(a11,x1101),x1104),x1102,x1103))
% 1.13/1.15 [136]~E(f14(f14(a11,f13(x1361)),x1362),f20(a11,f10(x1363),x1364,a29,a29))
% 1.13/1.15 [112]E(f18(f24(x1121,x1122,x1123),f24(x1124,x1122,x1123),f32(x1123,f32(x1122,a2))),f24(f18(x1121,x1124,f32(x1122,f32(x1123,a2))),x1122,x1123))
% 1.13/1.15 [113]E(f19(f24(x1131,x1132,x1133),f24(x1134,x1132,x1133),f32(x1133,f32(x1132,a2))),f24(f19(x1131,x1134,f32(x1132,f32(x1133,a2))),x1132,x1133))
% 1.13/1.15 [125]E(f26(f24(x1251,x1252,x1253),f24(x1254,x1255,x1252),x1253,x1252,x1255),f24(f26(x1254,x1251,x1255,x1252,x1253),x1255,x1253))
% 1.13/1.15 [163]P6(f24(a12,a29,a29),x1631,a29)+~P10(f14(a3,x1631))
% 1.13/1.15 [173]~P6(f24(a12,a29,a29),x1731,a29)+P10(f14(a3,x1731))
% 1.13/1.15 [150]~P10(f14(a3,x1501))+P10(f14(a3,f13(x1501)))
% 1.13/1.15 [138]E(x1381,x1382)+~E(f13(x1381),f13(x1382))
% 1.13/1.15 [139]E(x1391,x1392)+~E(f10(x1391),f10(x1392))
% 1.13/1.15 [140]~P1(x1402)+P1(f32(x1401,x1402))
% 1.13/1.15 [141]~P1(x1412)+P8(f32(x1411,x1412))
% 1.13/1.15 [142]~P1(x1422)+P9(f32(x1421,x1422))
% 1.13/1.15 [143]~P2(x1432)+P2(f32(x1431,x1432))
% 1.13/1.15 [146]~P9(x1462)+E(f18(x1461,x1461,x1462),x1461)
% 1.13/1.15 [147]~P8(x1472)+E(f19(x1471,x1471,x1472),x1471)
% 1.13/1.15 [148]~P7(x1481,x1482)+P7(f25(x1481,x1482),x1482)
% 1.13/1.15 [159]~P10(f14(a3,x1591))+P10(f14(a3,f17(x1591,x1592)))
% 1.13/1.15 [168]~P10(f14(f14(a12,x1681),x1682))+P10(f14(f14(a12,f13(x1681)),f13(x1682)))
% 1.13/1.15 [169]~P10(f14(a3,x1691))+P10(f14(a3,f14(f14(a11,x1691),f10(x1692))))
% 1.13/1.15 [263]~P4(a3,x2632,a29)+P10(f14(a3,f20(a11,f10(x2631),x2632,a29,a29)))
% 1.13/1.15 [249]P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),f13(x2491)),f13(x2492)))+~P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),x2491),x2492))
% 1.13/1.15 [149]~P7(x1491,x1493)+P6(x1491,x1492,x1493)
% 1.13/1.15 [151]~P3(x1511,f10(x1512),x1513)+E(f14(x1511,x1512),x1513)
% 1.13/1.15 [152]~P3(x1522,x1521,x1523)+P10(f14(a3,x1521))
% 1.13/1.15 [153]~P1(x1533)+E(f18(x1531,x1532,x1533),f18(x1532,x1531,x1533))
% 1.13/1.15 [154]~P9(x1543)+E(f18(x1541,x1542,x1543),f18(x1542,x1541,x1543))
% 1.13/1.15 [155]~P1(x1553)+E(f19(x1551,x1552,x1553),f19(x1552,x1551,x1553))
% 1.13/1.15 [156]~P8(x1563)+E(f19(x1561,x1562,x1563),f19(x1562,x1561,x1563))
% 1.13/1.15 [179]P6(x1791,x1792,x1793)+~P6(x1791,f9(x1791,x1792,x1793),x1793)
% 1.13/1.15 [180]P6(x1801,x1802,x1803)+~P6(x1801,f6(x1801,x1802,x1803),x1803)
% 1.13/1.15 [181]P6(x1811,x1812,x1813)+~P6(x1811,f7(x1811,x1812,x1813),x1813)
% 1.13/1.15 [230]~E(f13(x2302),f20(a11,x2303,x2301,a29,a29))+E(x2301,f15(a29))
% 1.13/1.15 [231]~E(f10(x2312),f20(a11,x2313,x2311,a29,a29))+E(x2311,f15(a29))
% 1.13/1.15 [232]~E(f20(a11,x2322,x2321,a29,a29),f13(x2323))+E(x2321,f15(a29))
% 1.13/1.15 [233]E(x2331,f13(x2332))+~E(f20(a11,x2331,x2333,a29,a29),f13(x2332))
% 1.13/1.15 [234]E(f13(x2341),x2342)+~E(f13(x2341),f20(a11,x2342,x2343,a29,a29))
% 1.13/1.15 [235]E(f10(x2351),x2352)+~E(f10(x2351),f20(a11,x2352,x2353,a29,a29))
% 1.13/1.15 [258]E(x2581,x2582)+~E(f20(a11,x2581,x2583,a29,a29),f20(a11,x2582,x2583,a29,a29))
% 1.13/1.15 [160]~P1(x1603)+E(f18(x1601,f19(x1601,x1602,x1603),x1603),x1601)
% 1.13/1.15 [161]~P1(x1613)+E(f19(x1611,f18(x1611,x1612,x1613),x1613),x1611)
% 1.13/1.15 [164]~P1(x1643)+E(f18(x1641,f18(x1641,x1642,x1643),x1643),f18(x1641,x1642,x1643))
% 1.13/1.15 [165]~P9(x1653)+E(f18(x1651,f18(x1651,x1652,x1653),x1653),f18(x1651,x1652,x1653))
% 1.13/1.15 [166]~P1(x1663)+E(f19(x1661,f19(x1661,x1662,x1663),x1663),f19(x1661,x1662,x1663))
% 1.13/1.15 [167]~P8(x1673)+E(f19(x1671,f19(x1671,x1672,x1673),x1673),f19(x1671,x1672,x1673))
% 1.13/1.15 [192]~P10(f14(f14(a12,x1921),x1923))+P10(f14(f14(a12,f17(x1921,x1922)),f17(x1923,x1922)))
% 1.13/1.15 [237]E(f14(f14(a11,x2371),x2372),x2373)+~E(f14(f14(a11,x2371),x2372),f20(a11,x2373,f15(a29),a29,a29))
% 1.13/1.15 [272]~P10(f14(f14(a12,x2721),x2723))+P10(f14(f14(a12,f20(a11,x2721,x2722,a29,a29)),f20(a11,x2723,x2722,a29,a29)))
% 1.13/1.15 [273]~P5(a12,x2732,x2733,a29)+P10(f14(f14(a12,f20(a11,x2731,x2732,a29,a29)),f20(a11,x2731,x2733,a29,a29)))
% 1.13/1.15 [162]E(x1621,x1622)+~P10(f14(f14(f23(x1623),x1621),x1622))
% 1.13/1.15 [178]~P10(f14(a3,x1781))+P10(f14(a3,f16(x1781,f10(x1782),x1783)))
% 1.13/1.15 [203]P6(x2031,x2032,x2033)+P10(f14(f14(x2031,f9(x2031,x2032,x2033)),x2032))
% 1.13/1.15 [204]P6(x2041,x2042,x2043)+P10(f14(f14(x2041,f6(x2041,x2042,x2043)),x2042))
% 1.13/1.15 [205]P6(x2051,x2052,x2053)+P10(f14(f14(x2051,f7(x2051,x2052,x2053)),x2052))
% 1.13/1.15 [210]~P10(f14(f14(a12,x2101),x2103))+P10(f14(f14(a12,f14(f14(a11,x2101),x2102)),f14(f14(a11,x2103),x2102)))
% 1.13/1.15 [211]~P10(f14(f14(a12,x2112),x2113))+P10(f14(f14(a12,f14(f14(a11,x2111),x2112)),f14(f14(a11,x2111),x2113)))
% 1.13/1.15 [274]P5(a12,x2741,f22(x2742,x2741,x2743),a29)+~P10(f14(f14(a12,f20(a11,f10(x2742),x2741,a29,a29)),x2743))
% 1.13/1.15 [275]E(f20(a11,f10(x2751),f22(x2751,x2752,x2753),a29,a29),x2753)+~P10(f14(f14(a12,f20(a11,f10(x2751),x2752,a29,a29)),x2753))
% 1.13/1.15 [250]P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),f17(x2501,x2502)),f17(x2503,x2502)))+~P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),x2501),x2503))
% 1.13/1.15 [251]P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),f14(f14(a11,x2511),x2512)),f14(f14(a11,x2513),x2512)))+~P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),x2511),x2513))
% 1.13/1.15 [252]P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),f14(f14(a11,x2521),x2522)),f14(f14(a11,x2521),x2523)))+~P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),x2522),x2523))
% 1.13/1.15 [276]P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),f20(a11,x2761,x2762,a29,a29)),f20(a11,x2763,x2762,a29,a29)))+~P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),x2761),x2763))
% 1.13/1.15 [144]E(x1441,x1442)+~E(f28(x1443,x1441),f28(x1444,x1442))
% 1.13/1.15 [145]E(x1451,x1452)+~E(f28(x1451,x1453),f28(x1452,x1454))
% 1.13/1.15 [157]E(x1571,x1572)+~E(f14(f14(a11,x1573),x1571),f14(f14(a11,x1574),x1572))
% 1.13/1.15 [158]E(x1581,x1582)+~E(f14(f14(a11,x1581),x1583),f14(f14(a11,x1582),x1584))
% 1.13/1.15 [183]~P1(x1834)+E(f18(x1831,f18(x1832,x1833,x1834),x1834),f18(x1832,f18(x1831,x1833,x1834),x1834))
% 1.13/1.15 [184]~P9(x1844)+E(f18(x1841,f18(x1842,x1843,x1844),x1844),f18(x1842,f18(x1841,x1843,x1844),x1844))
% 1.13/1.15 [185]~P1(x1854)+E(f19(x1851,f19(x1852,x1853,x1854),x1854),f19(x1852,f19(x1851,x1853,x1854),x1854))
% 1.13/1.15 [186]~P8(x1864)+E(f19(x1861,f19(x1862,x1863,x1864),x1864),f19(x1862,f19(x1861,x1863,x1864),x1864))
% 1.13/1.15 [187]~P1(x1873)+E(f18(f18(x1871,x1872,x1873),x1874,x1873),f18(x1871,f18(x1872,x1874,x1873),x1873))
% 1.13/1.15 [188]~P9(x1883)+E(f18(f18(x1881,x1882,x1883),x1884,x1883),f18(x1881,f18(x1882,x1884,x1883),x1883))
% 1.13/1.15 [189]~P1(x1893)+E(f19(f19(x1891,x1892,x1893),x1894,x1893),f19(x1891,f19(x1892,x1894,x1893),x1893))
% 1.13/1.15 [190]~P8(x1903)+E(f19(f19(x1901,x1902,x1903),x1904,x1903),f19(x1901,f19(x1902,x1904,x1903),x1903))
% 1.13/1.15 [197]~P2(x1973)+E(f19(f18(x1971,x1972,x1973),f18(x1971,x1974,x1973),x1973),f18(x1971,f19(x1972,x1974,x1973),x1973))
% 1.13/1.15 [198]~P2(x1983)+E(f18(f19(x1981,x1982,x1983),f19(x1981,x1984,x1983),x1983),f19(x1981,f18(x1982,x1984,x1983),x1983))
% 1.13/1.15 [199]~P2(x1993)+E(f19(f18(x1991,x1992,x1993),f18(x1994,x1992,x1993),x1993),f18(f19(x1991,x1994,x1993),x1992,x1993))
% 1.13/1.15 [200]~P2(x2003)+E(f18(f19(x2001,x2002,x2003),f19(x2004,x2002,x2003),x2003),f19(f18(x2001,x2004,x2003),x2002,x2003))
% 1.13/1.15 [216]~P10(f14(f14(a12,x2161),x2164))+P10(f14(f14(a12,f16(x2161,x2162,x2163)),f16(x2164,x2162,x2163)))
% 1.13/1.15 [219]P3(x2191,f13(x2192),f28(x2193,x2194))+~P3(f27(x2191,f4(a1),x2193,a31),x2192,x2194)
% 1.13/1.15 [236]P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),f16(x2361,x2362,x2363)),f16(x2361,x2364,x2363)))+~P10(f14(f14(a12,x2362),x2364))
% 1.13/1.15 [259]E(x2591,x2592)+~E(f20(a11,f13(x2593),x2591,a29,a29),f20(a11,f13(x2594),x2592,a29,a29))
% 1.13/1.15 [260]E(x2601,x2602)+~E(f20(a11,f10(x2603),x2601,a29,a29),f20(a11,f10(x2604),x2602,a29,a29))
% 1.13/1.15 [261]E(x2611,x2612)+~E(f20(a11,f13(x2611),x2613,a29,a29),f20(a11,f13(x2612),x2614,a29,a29))
% 1.13/1.15 [262]E(x2621,x2622)+~E(f20(a11,f10(x2621),x2623,a29,a29),f20(a11,f10(x2622),x2624,a29,a29))
% 1.13/1.15 [182]~P10(f14(f14(x1821,x1823),x1824))+P10(f14(f14(f25(x1821,x1822),x1823),x1824))
% 1.13/1.15 [239]~P10(f14(f14(f24(f25(x2391,x2392),x2392,x2392),x2393),x2394))+P10(f14(f14(f25(f24(x2391,x2392,x2392),x2392),x2393),x2394))
% 1.13/1.16 [244]~P10(f14(f14(f25(f24(x2441,x2442,x2442),x2442),x2443),x2444))+P10(f14(f14(f24(f25(x2441,x2442),x2442,x2442),x2443),x2444))
% 1.13/1.16 [225]~P10(f14(f14(x2251,x2253),x2254))+P10(f14(f14(f19(f25(x2251,x2252),f23(x2252),f32(x2252,f32(x2252,a2))),x2253),x2254))
% 1.13/1.16 [256]P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),f16(x2561,x2562,x2563)),f16(x2564,x2562,x2563)))+~P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),x2561),x2564))
% 1.13/1.16 [257]P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),f16(x2571,x2572,x2573)),f16(x2571,x2574,x2573)))+~P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),x2572),x2574))
% 1.13/1.16 [264]~P10(f14(f14(f19(f25(x2641,x2642),f23(x2642),f32(x2642,f32(x2642,a2))),x2644),x2643))+P10(f14(f14(f19(f25(f24(x2641,x2642,x2642),x2642),f23(x2642),f32(x2642,f32(x2642,a2))),x2643),x2644))
% 1.13/1.16 [267]~P10(f14(f14(f19(f25(f24(x2671,x2672,x2672),x2672),f23(x2672),f32(x2672,f32(x2672,a2))),x2674),x2673))+P10(f14(f14(f19(f25(x2671,x2672),f23(x2672),f32(x2672,f32(x2672,a2))),x2673),x2674))
% 1.13/1.16 [214]~P3(x2141,x2144,x2145)+P3(f27(x2141,x2142,x2143,a31),f17(x2144,x2142),x2145)
% 1.13/1.16 [213]~P10(f14(f14(x2131,x2135),x2134))+P10(f14(f14(f24(x2131,x2132,x2133),x2134),x2135))
% 1.13/1.16 [218]P10(f14(f14(x2181,x2182),x2183))+~P10(f14(f14(f24(x2181,x2184,x2185),x2183),x2182))
% 1.13/1.16 [221]~P10(f14(f14(x2212,x2215),x2216))+P10(f14(f14(f19(x2211,x2212,f32(x2213,f32(x2214,a2))),x2215),x2216))
% 1.13/1.16 [222]~P10(f14(f14(x2221,x2225),x2226))+P10(f14(f14(f19(x2221,x2222,f32(x2223,f32(x2224,a2))),x2225),x2226))
% 1.13/1.16 [227]P10(f14(f14(x2271,x2272),x2273))+~P10(f14(f14(f18(x2274,x2271,f32(x2275,f32(x2276,a2))),x2272),x2273))
% 1.13/1.16 [228]P10(f14(f14(x2281,x2282),x2283))+~P10(f14(f14(f18(x2281,x2284,f32(x2285,f32(x2286,a2))),x2282),x2283))
% 1.13/1.16 [170]~P6(x1703,x1702,a30)+P10(f14(x1701,x1702))+~P10(f14(x1701,f36(x1701,x1703)))
% 1.13/1.16 [171]~P6(x1713,x1712,a30)+P10(f14(x1711,x1712))+~P10(f14(x1711,f37(x1711,x1713)))
% 1.13/1.16 [268]~P6(f24(a12,a29,a29),x2682,a29)+~P6(f24(a12,a29,a29),f20(a11,f16(x2681,x2682,f4(a1)),x2683,a29,a29),a29)+P6(f24(a12,a29,a29),f20(a11,f14(f14(a11,f13(x2681)),x2682),x2683,a29,a29),a29)
% 1.13/1.16 [271]~P10(f14(a3,x2712))+~P10(f14(a3,f20(a11,f16(x2711,x2712,f4(a1)),x2713,a29,a29)))+P10(f14(a3,f20(a11,f14(f14(a11,f13(x2711)),x2712),x2713,a29,a29)))
% 1.13/1.16 [176]~P6(x1763,x1762,x1764)+P6(x1763,f5(x1761,x1763,x1764),x1764)+P10(f14(x1761,x1762))
% 1.13/1.16 [177]~P6(x1773,x1772,x1774)+P6(x1773,f8(x1771,x1773,x1774),x1774)+P10(f14(x1771,x1772))
% 1.13/1.16 [172]P3(x1721,x1722,x1723)+~P3(x1721,x1724,x1723)+~P10(f14(f14(a12,x1724),x1722))
% 1.13/1.16 [175]P6(x1751,x1752,x1753)+~P6(x1751,x1754,x1753)+~P10(f14(f14(x1751,x1752),x1754))
% 1.13/1.16 [201]~P6(x2013,x2012,x2014)+P10(f14(x2011,x2012))+~P10(f14(x2011,f5(x2011,x2013,x2014)))
% 1.13/1.16 [202]~P6(x2023,x2022,x2024)+P10(f14(x2021,x2022))+~P10(f14(x2021,f8(x2021,x2023,x2024)))
% 1.13/1.16 [255]E(x2551,f15(a29))+E(f20(a11,x2552,f21(x2553,x2554,x2552,x2551),a29,a29),x2553)+~E(f14(f14(a11,x2553),x2554),f20(a11,x2552,x2551,a29,a29))
% 1.13/1.16 [238]P3(x2381,x2382,x2383)+~P3(x2381,x2384,x2383)+~P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),x2384),x2382))
% 1.13/1.16 [241]P6(x2411,x2412,x2413)+~P6(x2411,x2414,x2413)+~P10(f14(f14(f19(f25(x2411,x2413),f23(x2413),f32(x2413,f32(x2413,a2))),x2412),x2414))
% 1.13/1.16 [243]E(x2431,x2432)+P10(f14(f14(f25(x2433,x2434),x2431),x2432))+~P10(f14(f14(f19(f25(x2433,x2434),f23(x2434),f32(x2434,f32(x2434,a2))),x2431),x2432))
% 1.13/1.16 [265]P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),f14(f14(a11,x2651),x2652)),f14(f14(a11,x2653),x2654)))+~P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),x2652),x2654))+~P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),x2651),x2653))
% 1.13/1.16 [191]~P3(x1911,x1913,x1915)+~P3(x1911,x1912,f28(x1915,x1914))+P3(x1911,f14(f14(a11,x1912),x1913),x1914)
% 1.13/1.16 [269]E(x2691,x2692)+~P3(x2693,f20(a11,f10(x2694),x2695,a29,a29),x2691)+~P3(x2693,f20(a11,f10(x2694),x2695,a29,a29),x2692)
% 1.13/1.16 [206]~P10(f14(f14(x2061,x2065),x2064))+~P10(f14(f14(f25(x2061,x2062),x2063),x2065))+P10(f14(f14(f25(x2061,x2062),x2063),x2064))
% 1.13/1.16 [207]~P10(f14(f14(x2071,x2073),x2075))+~P10(f14(f14(f25(x2071,x2072),x2075),x2074))+P10(f14(f14(f25(x2071,x2072),x2073),x2074))
% 1.13/1.16 [215]~P10(f14(f14(f25(x2151,x2152),x2153),x2155))+P10(f14(f14(f25(x2151,x2152),x2153),x2154))+~P10(f14(f14(f25(x2151,x2152),x2155),x2154))
% 1.13/1.16 [245]~P10(f14(f14(x2451,x2455),x2454))+P10(f14(f14(f25(x2451,x2452),x2453),x2454))+~P10(f14(f14(f19(f25(x2451,x2452),f23(x2452),f32(x2452,f32(x2452,a2))),x2453),x2455))
% 1.13/1.16 [246]~P10(f14(f14(x2461,x2463),x2465))+P10(f14(f14(f25(x2461,x2462),x2463),x2464))+~P10(f14(f14(f19(f25(x2461,x2462),f23(x2462),f32(x2462,f32(x2462,a2))),x2465),x2464))
% 1.13/1.16 [247]P10(f14(f14(f25(x2471,x2472),x2473),x2474))+~P10(f14(f14(f25(x2471,x2472),x2475),x2474))+~P10(f14(f14(f19(f25(x2471,x2472),f23(x2472),f32(x2472,f32(x2472,a2))),x2473),x2475))
% 1.13/1.16 [248]P10(f14(f14(f25(x2481,x2482),x2483),x2484))+~P10(f14(f14(f25(x2481,x2482),x2483),x2485))+~P10(f14(f14(f19(f25(x2481,x2482),f23(x2482),f32(x2482,f32(x2482,a2))),x2485),x2484))
% 1.13/1.16 [253]~P10(f14(f14(x2531,x2535),x2534))+~P10(f14(f14(f19(f25(x2531,x2532),f23(x2532),f32(x2532,f32(x2532,a2))),x2533),x2535))+P10(f14(f14(f19(f25(x2531,x2532),f23(x2532),f32(x2532,f32(x2532,a2))),x2533),x2534))
% 1.13/1.16 [254]~P10(f14(f14(x2541,x2543),x2545))+~P10(f14(f14(f19(f25(x2541,x2542),f23(x2542),f32(x2542,f32(x2542,a2))),x2545),x2544))+P10(f14(f14(f19(f25(x2541,x2542),f23(x2542),f32(x2542,f32(x2542,a2))),x2543),x2544))
% 1.13/1.16 [266]~P10(f14(f14(f19(f25(x2661,x2662),f23(x2662),f32(x2662,f32(x2662,a2))),x2665),x2664))+~P10(f14(f14(f19(f25(x2661,x2662),f23(x2662),f32(x2662,f32(x2662,a2))),x2663),x2665))+P10(f14(f14(f19(f25(x2661,x2662),f23(x2662),f32(x2662,f32(x2662,a2))),x2663),x2664))
% 1.13/1.16 [220]~P3(x2201,x2203,x2206)+P3(x2201,f16(x2202,x2203,x2204),x2205)+~P3(f27(x2201,x2204,x2206,a31),x2202,x2205)
% 1.13/1.16 [224]~P10(f14(f14(x2242,x2245),x2246))+~P10(f14(f14(x2241,x2245),x2246))+P10(f14(f14(f18(x2241,x2242,f32(x2243,f32(x2244,a2))),x2245),x2246))
% 1.13/1.16 [229]P10(f14(f14(x2291,x2292),x2293))+P10(f14(f14(x2294,x2292),x2293))+~P10(f14(f14(f19(x2291,x2294,f32(x2295,f32(x2296,a2))),x2292),x2293))
% 1.13/1.16 [270]~P10(f14(f14(x2701,x2706),x2708))+~P10(f14(f14(x2702,x2708),x2707))+P10(f14(f14(f26(x2701,x2702,x2703,x2704,x2705),x2706),x2707))
% 1.13/1.16 [193]~P6(x1934,x1933,a30)+P10(f14(x1931,x1932))+P10(f14(x1931,x1933))+~P10(f14(f14(x1934,x1932),f36(x1931,x1934)))
% 1.13/1.16 [194]~P6(x1944,x1943,a30)+P10(f14(x1941,x1942))+P10(f14(x1941,x1943))+~P10(f14(f14(x1944,x1942),f37(x1941,x1944)))
% 1.13/1.16 [195]~P6(x1953,x1952,a30)+P6(x1953,x1954,a30)+P10(f14(x1951,x1952))+~P10(f14(f14(x1953,x1954),f36(x1951,x1953)))
% 1.13/1.16 [196]~P6(x1963,x1962,a30)+P6(x1963,x1964,a30)+P10(f14(x1961,x1962))+~P10(f14(f14(x1963,x1964),f37(x1961,x1963)))
% 1.13/1.16 [208]~P6(x2084,x2083,x2085)+P10(f14(x2081,x2082))+P10(f14(x2081,x2083))+~P10(f14(f14(x2084,x2082),f5(x2081,x2084,x2085)))
% 1.13/1.16 [209]~P6(x2094,x2093,x2095)+P10(f14(x2091,x2092))+P10(f14(x2091,x2093))+~P10(f14(f14(x2094,x2092),f8(x2091,x2094,x2095)))
% 1.13/1.16 [223]~P3(x2234,x2232,x2235)+~P3(f27(x2234,x2233,x2235,a31),x2231,x2236)+~P10(f14(a3,x2232))+~P10(f14(a3,x2231))+P10(f14(a3,f16(x2231,x2232,x2233)))
% 1.13/1.16 %EqnAxiom
% 1.13/1.16 [1]E(x11,x11)
% 1.13/1.16 [2]E(x22,x21)+~E(x21,x22)
% 1.13/1.16 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.13/1.16 [4]~E(x41,x42)+E(f10(x41),f10(x42))
% 1.13/1.16 [5]~E(x51,x52)+E(f14(x51,x53),f14(x52,x53))
% 1.13/1.16 [6]~E(x61,x62)+E(f14(x63,x61),f14(x63,x62))
% 1.13/1.16 [7]~E(x71,x72)+E(f15(x71),f15(x72))
% 1.13/1.16 [8]~E(x81,x82)+E(f20(x81,x83,x84,x85,x86),f20(x82,x83,x84,x85,x86))
% 1.13/1.16 [9]~E(x91,x92)+E(f20(x93,x91,x94,x95,x96),f20(x93,x92,x94,x95,x96))
% 1.13/1.16 [10]~E(x101,x102)+E(f20(x103,x104,x101,x105,x106),f20(x103,x104,x102,x105,x106))
% 1.13/1.16 [11]~E(x111,x112)+E(f20(x113,x114,x115,x111,x116),f20(x113,x114,x115,x112,x116))
% 1.13/1.16 [12]~E(x121,x122)+E(f20(x123,x124,x125,x126,x121),f20(x123,x124,x125,x126,x122))
% 1.13/1.16 [13]~E(x131,x132)+E(f16(x131,x133,x134),f16(x132,x133,x134))
% 1.13/1.16 [14]~E(x141,x142)+E(f16(x143,x141,x144),f16(x143,x142,x144))
% 1.13/1.16 [15]~E(x151,x152)+E(f16(x153,x154,x151),f16(x153,x154,x152))
% 1.13/1.16 [16]~E(x161,x162)+E(f23(x161),f23(x162))
% 1.13/1.16 [17]~E(x171,x172)+E(f24(x171,x173,x174),f24(x172,x173,x174))
% 1.13/1.16 [18]~E(x181,x182)+E(f24(x183,x181,x184),f24(x183,x182,x184))
% 1.13/1.16 [19]~E(x191,x192)+E(f24(x193,x194,x191),f24(x193,x194,x192))
% 1.13/1.16 [20]~E(x201,x202)+E(f18(x201,x203,x204),f18(x202,x203,x204))
% 1.13/1.16 [21]~E(x211,x212)+E(f18(x213,x211,x214),f18(x213,x212,x214))
% 1.13/1.16 [22]~E(x221,x222)+E(f18(x223,x224,x221),f18(x223,x224,x222))
% 1.13/1.16 [23]~E(x231,x232)+E(f17(x231,x233),f17(x232,x233))
% 1.13/1.16 [24]~E(x241,x242)+E(f17(x243,x241),f17(x243,x242))
% 1.13/1.16 [25]~E(x251,x252)+E(f32(x251,x253),f32(x252,x253))
% 1.13/1.16 [26]~E(x261,x262)+E(f32(x263,x261),f32(x263,x262))
% 1.13/1.16 [27]~E(x271,x272)+E(f25(x271,x273),f25(x272,x273))
% 1.13/1.16 [28]~E(x281,x282)+E(f25(x283,x281),f25(x283,x282))
% 1.13/1.16 [29]~E(x291,x292)+E(f19(x291,x293,x294),f19(x292,x293,x294))
% 1.13/1.16 [30]~E(x301,x302)+E(f19(x303,x301,x304),f19(x303,x302,x304))
% 1.13/1.16 [31]~E(x311,x312)+E(f19(x313,x314,x311),f19(x313,x314,x312))
% 1.13/1.16 [32]~E(x321,x322)+E(f7(x321,x323,x324),f7(x322,x323,x324))
% 1.13/1.16 [33]~E(x331,x332)+E(f7(x333,x331,x334),f7(x333,x332,x334))
% 1.13/1.16 [34]~E(x341,x342)+E(f7(x343,x344,x341),f7(x343,x344,x342))
% 1.13/1.16 [35]~E(x351,x352)+E(f13(x351),f13(x352))
% 1.13/1.16 [36]~E(x361,x362)+E(f22(x361,x363,x364),f22(x362,x363,x364))
% 1.13/1.16 [37]~E(x371,x372)+E(f22(x373,x371,x374),f22(x373,x372,x374))
% 1.13/1.16 [38]~E(x381,x382)+E(f22(x383,x384,x381),f22(x383,x384,x382))
% 1.13/1.16 [39]~E(x391,x392)+E(f4(x391),f4(x392))
% 1.13/1.16 [40]~E(x401,x402)+E(f28(x401,x403),f28(x402,x403))
% 1.13/1.16 [41]~E(x411,x412)+E(f28(x413,x411),f28(x413,x412))
% 1.13/1.16 [42]~E(x421,x422)+E(f6(x421,x423,x424),f6(x422,x423,x424))
% 1.13/1.16 [43]~E(x431,x432)+E(f6(x433,x431,x434),f6(x433,x432,x434))
% 1.13/1.16 [44]~E(x441,x442)+E(f6(x443,x444,x441),f6(x443,x444,x442))
% 1.13/1.16 [45]~E(x451,x452)+E(f36(x451,x453),f36(x452,x453))
% 1.13/1.16 [46]~E(x461,x462)+E(f36(x463,x461),f36(x463,x462))
% 1.13/1.16 [47]~E(x471,x472)+E(f27(x471,x473,x474,x475),f27(x472,x473,x474,x475))
% 1.13/1.16 [48]~E(x481,x482)+E(f27(x483,x481,x484,x485),f27(x483,x482,x484,x485))
% 1.13/1.16 [49]~E(x491,x492)+E(f27(x493,x494,x491,x495),f27(x493,x494,x492,x495))
% 1.13/1.16 [50]~E(x501,x502)+E(f27(x503,x504,x505,x501),f27(x503,x504,x505,x502))
% 1.13/1.16 [51]~E(x511,x512)+E(f8(x511,x513,x514),f8(x512,x513,x514))
% 1.13/1.16 [52]~E(x521,x522)+E(f8(x523,x521,x524),f8(x523,x522,x524))
% 1.13/1.16 [53]~E(x531,x532)+E(f8(x533,x534,x531),f8(x533,x534,x532))
% 1.13/1.16 [54]~E(x541,x542)+E(f9(x541,x543,x544),f9(x542,x543,x544))
% 1.13/1.16 [55]~E(x551,x552)+E(f9(x553,x551,x554),f9(x553,x552,x554))
% 1.13/1.16 [56]~E(x561,x562)+E(f9(x563,x564,x561),f9(x563,x564,x562))
% 1.13/1.16 [57]~E(x571,x572)+E(f37(x571,x573),f37(x572,x573))
% 1.13/1.16 [58]~E(x581,x582)+E(f37(x583,x581),f37(x583,x582))
% 1.13/1.16 [59]~E(x591,x592)+E(f21(x591,x593,x594,x595),f21(x592,x593,x594,x595))
% 1.13/1.16 [60]~E(x601,x602)+E(f21(x603,x601,x604,x605),f21(x603,x602,x604,x605))
% 1.13/1.16 [61]~E(x611,x612)+E(f21(x613,x614,x611,x615),f21(x613,x614,x612,x615))
% 1.13/1.16 [62]~E(x621,x622)+E(f21(x623,x624,x625,x621),f21(x623,x624,x625,x622))
% 1.13/1.16 [63]~E(x631,x632)+E(f26(x631,x633,x634,x635,x636),f26(x632,x633,x634,x635,x636))
% 1.13/1.16 [64]~E(x641,x642)+E(f26(x643,x641,x644,x645,x646),f26(x643,x642,x644,x645,x646))
% 1.13/1.16 [65]~E(x651,x652)+E(f26(x653,x654,x651,x655,x656),f26(x653,x654,x652,x655,x656))
% 1.13/1.16 [66]~E(x661,x662)+E(f26(x663,x664,x665,x661,x666),f26(x663,x664,x665,x662,x666))
% 1.13/1.16 [67]~E(x671,x672)+E(f26(x673,x674,x675,x676,x671),f26(x673,x674,x675,x676,x672))
% 1.13/1.16 [68]~E(x681,x682)+E(f5(x681,x683,x684),f5(x682,x683,x684))
% 1.13/1.16 [69]~E(x691,x692)+E(f5(x693,x691,x694),f5(x693,x692,x694))
% 1.13/1.16 [70]~E(x701,x702)+E(f5(x703,x704,x701),f5(x703,x704,x702))
% 1.13/1.16 [71]~P1(x711)+P1(x712)+~E(x711,x712)
% 1.13/1.16 [72]~P10(x721)+P10(x722)+~E(x721,x722)
% 1.13/1.16 [73]~P8(x731)+P8(x732)+~E(x731,x732)
% 1.13/1.16 [74]~P9(x741)+P9(x742)+~E(x741,x742)
% 1.13/1.16 [75]P6(x752,x753,x754)+~E(x751,x752)+~P6(x751,x753,x754)
% 1.13/1.16 [76]P6(x763,x762,x764)+~E(x761,x762)+~P6(x763,x761,x764)
% 1.13/1.16 [77]P6(x773,x774,x772)+~E(x771,x772)+~P6(x773,x774,x771)
% 1.13/1.16 [78]~P2(x781)+P2(x782)+~E(x781,x782)
% 1.13/1.16 [79]P3(x792,x793,x794)+~E(x791,x792)+~P3(x791,x793,x794)
% 1.13/1.16 [80]P3(x803,x802,x804)+~E(x801,x802)+~P3(x803,x801,x804)
% 1.13/1.16 [81]P3(x813,x814,x812)+~E(x811,x812)+~P3(x813,x814,x811)
% 1.13/1.16 [82]P7(x822,x823)+~E(x821,x822)+~P7(x821,x823)
% 1.13/1.16 [83]P7(x833,x832)+~E(x831,x832)+~P7(x833,x831)
% 1.13/1.16 [84]P4(x842,x843,x844)+~E(x841,x842)+~P4(x841,x843,x844)
% 1.13/1.16 [85]P4(x853,x852,x854)+~E(x851,x852)+~P4(x853,x851,x854)
% 1.13/1.16 [86]P4(x863,x864,x862)+~E(x861,x862)+~P4(x863,x864,x861)
% 1.13/1.16 [87]P5(x872,x873,x874,x875)+~E(x871,x872)+~P5(x871,x873,x874,x875)
% 1.13/1.16 [88]P5(x883,x882,x884,x885)+~E(x881,x882)+~P5(x883,x881,x884,x885)
% 1.13/1.16 [89]P5(x893,x894,x892,x895)+~E(x891,x892)+~P5(x893,x894,x891,x895)
% 1.13/1.16 [90]P5(x903,x904,x905,x902)+~E(x901,x902)+~P5(x903,x904,x905,x901)
% 1.13/1.16
% 1.13/1.16 %-------------------------------------------
% 1.13/1.16 cnf(277,plain,
% 1.13/1.16 (E(x2771,f16(f10(x2772),x2771,x2772))),
% 1.13/1.16 inference(scs_inference,[],[102,2])).
% 1.13/1.16 cnf(282,plain,
% 1.13/1.16 (P10(f14(f14(f19(f25(a12,a29),f23(a29),f32(a29,f32(a29,a2))),f16(x2821,f14(f14(a11,f13(x2822)),x2823),x2824)),f16(x2821,f16(x2822,x2823,f4(a1)),x2824)))),
% 1.13/1.16 inference(scs_inference,[],[102,99,130,114,2,163,151,236])).
% 1.13/1.16 cnf(285,plain,
% 1.13/1.16 (P3(x2851,f10(x2852),f14(x2851,x2852))),
% 1.13/1.16 inference(rename_variables,[],[105])).
% 1.13/1.16 cnf(292,plain,
% 1.13/1.16 (P3(x2921,f10(x2922),f14(x2921,x2922))),
% 1.13/1.16 inference(rename_variables,[],[105])).
% 1.13/1.16 cnf(293,plain,
% 1.13/1.16 (E(f16(f10(x2931),x2932,x2931),x2932)),
% 1.13/1.16 inference(rename_variables,[],[102])).
% 1.13/1.16 cnf(296,plain,
% 1.13/1.16 (E(f16(f10(x2961),x2962,x2961),x2962)),
% 1.13/1.16 inference(rename_variables,[],[102])).
% 1.13/1.16 cnf(298,plain,
% 1.13/1.16 (E(f16(f10(x2981),x2982,x2981),x2982)),
% 1.13/1.16 inference(rename_variables,[],[102])).
% 1.13/1.16 cnf(300,plain,
% 1.13/1.16 (~P10(f14(f14(a12,f10(x3001)),x3002))),
% 1.13/1.16 inference(rename_variables,[],[132])).
% 1.13/1.16 cnf(303,plain,
% 1.13/1.16 (~P10(f14(f14(a12,f10(x3031)),x3032))),
% 1.13/1.16 inference(rename_variables,[],[132])).
% 1.13/1.16 cnf(312,plain,
% 1.13/1.16 (P10(f14(f14(f23(x3121),x3122),x3122))),
% 1.13/1.16 inference(rename_variables,[],[106])).
% 1.13/1.16 cnf(314,plain,
% 1.13/1.16 (~P10(f14(f14(a12,f10(x3141)),x3142))),
% 1.13/1.16 inference(rename_variables,[],[132])).
% 1.13/1.16 cnf(317,plain,
% 1.13/1.16 (P10(f14(f14(f23(x3171),x3172),x3172))),
% 1.13/1.16 inference(rename_variables,[],[106])).
% 1.13/1.16 cnf(319,plain,
% 1.13/1.16 (~P10(f14(f14(a12,f10(x3191)),x3192))),
% 1.13/1.16 inference(rename_variables,[],[132])).
% 1.13/1.16 cnf(321,plain,
% 1.13/1.16 (~P6(f23(x3211),f8(f14(a12,f10(x3212)),f23(x3211),x3213),x3213)),
% 1.13/1.16 inference(scs_inference,[],[100,133,101,105,285,292,127,102,293,296,99,130,106,312,317,132,300,303,314,319,114,123,2,163,151,236,219,264,86,81,79,76,72,3,177,176,220,246,194,193,209])).
% 1.13/1.16 cnf(322,plain,
% 1.13/1.16 (P10(f14(f14(f23(x3221),x3222),x3222))),
% 1.13/1.16 inference(rename_variables,[],[106])).
% 1.13/1.16 cnf(324,plain,
% 1.13/1.16 (~P10(f14(f14(a12,f10(x3241)),x3242))),
% 1.13/1.16 inference(rename_variables,[],[132])).
% 1.13/1.16 cnf(327,plain,
% 1.13/1.16 (P10(f14(f14(f23(x3271),x3272),x3272))),
% 1.13/1.16 inference(rename_variables,[],[106])).
% 1.13/1.16 cnf(329,plain,
% 1.13/1.16 (~P10(f14(f14(a12,f10(x3291)),x3292))),
% 1.13/1.16 inference(rename_variables,[],[132])).
% 1.13/1.16 cnf(333,plain,
% 1.13/1.16 (P10(f14(a3,a35))),
% 1.13/1.16 inference(scs_inference,[],[100,133,101,105,285,292,127,102,293,296,99,130,106,312,317,322,132,300,303,314,319,324,114,123,2,163,151,236,219,264,86,81,79,76,72,3,177,176,220,246,194,193,209,208,149,152])).
% 1.13/1.16 cnf(512,plain,
% 1.13/1.16 (P10(f14(f14(f24(a12,a29,a29),f7(f24(a12,a29,a29),a35,a29)),a35))),
% 1.13/1.16 inference(scs_inference,[],[100,91,92,93,95,97,133,101,105,285,292,127,102,293,296,298,99,128,130,106,312,317,322,132,300,303,314,319,324,114,123,2,163,151,236,219,264,86,81,79,76,72,3,177,176,220,246,194,193,209,208,149,152,147,146,143,142,141,140,173,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,262,261,260,259,258,214,178,169,162,161,160,159,158,157,156,155,154,153,150,145,144,139,138,235,234,233,181,180,179,167,166,165,164,272,216,211,210,192,190,189,188,187,186,185,184,183,168,237,205])).
% 1.13/1.16 cnf(538,plain,
% 1.13/1.16 (~P10(f14(f14(f24(a12,x5381,x5382),x5383),f10(x5384)))),
% 1.13/1.16 inference(scs_inference,[],[100,91,92,93,95,97,133,135,101,105,285,292,127,102,293,296,298,99,128,130,106,312,317,322,327,132,300,303,314,319,324,329,114,123,2,163,151,236,219,264,86,81,79,76,72,3,177,176,220,246,194,193,209,208,149,152,147,146,143,142,141,140,173,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,262,261,260,259,258,214,178,169,162,161,160,159,158,157,156,155,154,153,150,145,144,139,138,235,234,233,181,180,179,167,166,165,164,272,216,211,210,192,190,189,188,187,186,185,184,183,168,237,205,204,203,200,199,198,197,274,228,227,225,222,221,218])).
% 1.13/1.16 cnf(542,plain,
% 1.13/1.16 (P10(f14(f14(f25(a12,x5421),f14(f14(a11,f13(x5422)),x5423)),f16(x5422,x5423,f4(a1))))),
% 1.13/1.16 inference(scs_inference,[],[100,91,92,93,95,97,133,135,101,105,285,292,127,102,293,296,298,99,128,130,106,312,317,322,327,132,300,303,314,319,324,329,114,123,2,163,151,236,219,264,86,81,79,76,72,3,177,176,220,246,194,193,209,208,149,152,147,146,143,142,141,140,173,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,262,261,260,259,258,214,178,169,162,161,160,159,158,157,156,155,154,153,150,145,144,139,138,235,234,233,181,180,179,167,166,165,164,272,216,211,210,192,190,189,188,187,186,185,184,183,168,237,205,204,203,200,199,198,197,274,228,227,225,222,221,218,213,182])).
% 1.13/1.16 cnf(554,plain,
% 1.13/1.16 (~E(a1,x5541)+P2(x5541)),
% 1.13/1.16 inference(scs_inference,[],[100,91,92,93,95,97,133,134,135,101,105,285,292,127,102,293,296,298,107,104,111,117,99,128,130,106,312,317,322,327,132,300,303,314,319,324,329,137,114,123,2,163,151,236,219,264,86,81,79,76,72,3,177,176,220,246,194,193,209,208,149,152,147,146,143,142,141,140,173,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,262,261,260,259,258,214,178,169,162,161,160,159,158,157,156,155,154,153,150,145,144,139,138,235,234,233,181,180,179,167,166,165,164,272,216,211,210,192,190,189,188,187,186,185,184,183,168,237,205,204,203,200,199,198,197,274,228,227,225,222,221,218,213,182,275,90,89,88,87,83,82,80,78])).
% 1.13/1.16 cnf(565,plain,
% 1.13/1.16 (~P10(f14(f14(f19(f25(f24(a12,a29,a29),a29),f23(a29),f32(a29,f32(a29,a2))),a35),f10(x5651)))),
% 1.13/1.16 inference(scs_inference,[],[100,91,92,93,95,97,133,134,135,101,105,285,292,127,102,293,296,298,107,104,111,117,99,128,130,106,312,317,322,327,132,300,303,314,319,324,329,137,114,123,2,163,151,236,219,264,86,81,79,76,72,3,177,176,220,246,194,193,209,208,149,152,147,146,143,142,141,140,173,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,262,261,260,259,258,214,178,169,162,161,160,159,158,157,156,155,154,153,150,145,144,139,138,235,234,233,181,180,179,167,166,165,164,272,216,211,210,192,190,189,188,187,186,185,184,183,168,237,205,204,203,200,199,198,197,274,228,227,225,222,221,218,213,182,275,90,89,88,87,83,82,80,78,77,75,191,202,201,270,241])).
% 1.13/1.16 cnf(619,plain,
% 1.13/1.16 (E(x6191,f16(f10(x6192),x6191,x6192))),
% 1.13/1.16 inference(rename_variables,[],[277])).
% 1.13/1.16 cnf(624,plain,
% 1.13/1.16 (E(x6241,f16(f10(x6242),x6241,x6242))),
% 1.13/1.16 inference(rename_variables,[],[277])).
% 1.13/1.16 cnf(626,plain,
% 1.13/1.16 (E(x6261,f16(f10(x6262),x6261,x6262))),
% 1.13/1.16 inference(rename_variables,[],[277])).
% 1.13/1.16 cnf(653,plain,
% 1.13/1.16 ($false),
% 1.13/1.16 inference(scs_inference,[],[100,277,619,624,626,94,96,101,105,106,132,91,99,114,133,282,538,321,542,565,512,333,554,263,74,73,71,267,248,205,222,218,177,270,224,223,163]),
% 1.13/1.16 ['proof']).
% 1.13/1.16 % SZS output end Proof
% 1.13/1.16 % Total time :0.500000s
%------------------------------------------------------------------------------