TSTP Solution File: LCL789-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL789-1 : 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 : n013.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 06:50:56 EDT 2023
% Result : Unsatisfiable 1.87s 2.15s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL789-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n013.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 06:42:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.87/2.11 %-------------------------------------------
% 1.87/2.11 % File :CSE---1.6
% 1.87/2.11 % Problem :theBenchmark
% 1.87/2.11 % Transform :cnf
% 1.87/2.11 % Format :tptp:raw
% 1.87/2.11 % Command :java -jar mcs_scs.jar %d %s
% 1.87/2.11
% 1.87/2.11 % Result :Theorem 1.400000s
% 1.87/2.11 % Output :CNFRefutation 1.400000s
% 1.87/2.11 %-------------------------------------------
% 1.87/2.12 %------------------------------------------------------------------------------
% 1.87/2.12 % File : LCL789-1 : TPTP v8.1.2. Released v4.1.0.
% 1.87/2.12 % Domain : Logic Calculi
% 1.87/2.12 % Problem : Strong normalization of typed lambda calculus 132_53
% 1.87/2.12 % Version : Especial.
% 1.87/2.12 % English :
% 1.87/2.12
% 1.87/2.12 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 1.87/2.12 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 1.87/2.12 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.87/2.12 % Source : [Nip10]
% 1.87/2.12 % Names : StrongNorm-132_53 [Nip10]
% 1.87/2.12
% 1.87/2.12 % Status : Unsatisfiable
% 1.87/2.12 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.18 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.27 v6.4.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0
% 1.87/2.12 % Syntax : Number of clauses : 321 ( 128 unt; 29 nHn; 179 RR)
% 1.87/2.12 % Number of literals : 577 ( 298 equ; 246 neg)
% 1.87/2.12 % Maximal clause size : 6 ( 1 avg)
% 1.87/2.12 % Maximal term depth : 6 ( 2 avg)
% 1.87/2.12 % Number of predicates : 19 ( 18 usr; 0 prp; 1-4 aty)
% 1.87/2.12 % Number of functors : 64 ( 64 usr; 24 con; 0-5 aty)
% 1.87/2.12 % Number of variables : 973 ( 168 sgn)
% 1.87/2.12 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.87/2.12
% 1.87/2.12 % Comments :
% 1.87/2.12 %------------------------------------------------------------------------------
% 1.87/2.12 cnf(cls_Var_I3_J_0,axiom,
% 1.87/2.12 hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_eq__number__of_0,axiom,
% 1.87/2.12 ( ~ class_Int_Oring__char__0(T_a)
% 1.87/2.12 | ~ class_Int_Onumber__ring(T_a)
% 1.87/2.12 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 1.87/2.12 | V_x = V_y ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_types__snocE_2,axiom,
% 1.87/2.12 ( c_Type_Otyping(V_e,V_t,c_Type_Osko__Type__Xtypes__snocE__1__2(V_Ts,V_e,V_t,V_ts))
% 1.87/2.12 | ~ c_Type_Otypings(V_e,c_List_Oappend(V_ts,c_List_Olist_OCons(V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),V_Ts) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rev__append_0,axiom,
% 1.87/2.12 c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rev__is__Nil__conv_1,axiom,
% 1.87/2.12 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_App__eq__foldl__conv_1,axiom,
% 1.87/2.12 ( 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)
% 1.87/2.12 | V_ts = c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)
% 1.87/2.12 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_replicate__eq__replicate_1,axiom,
% 1.87/2.12 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 1.87/2.12 | V_x = V_y
% 1.87/2.12 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rev__is__Nil__conv_0,axiom,
% 1.87/2.12 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 1.87/2.12 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_replicate__eq__replicate_2,axiom,
% 1.87/2.12 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_last__replicate_0,axiom,
% 1.87/2.12 ( c_List_Olast(c_List_Oreplicate(V_n,V_x,T_a),T_a) = V_x
% 1.87/2.12 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_Cons__step1__Cons_0,axiom,
% 1.87/2.12 ( V_x = V_y
% 1.87/2.12 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 1.87/2.12 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rtranclp__converseI_0,axiom,
% 1.87/2.12 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 1.87/2.12 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rtranclp__converseD_0,axiom,
% 1.87/2.12 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 1.87/2.12 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_conversepD_0,axiom,
% 1.87/2.12 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 1.87/2.12 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_conversep__iff_1,axiom,
% 1.87/2.12 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 1.87/2.12 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_conversep_Ocases_0,axiom,
% 1.87/2.12 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 1.87/2.12 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_conversep_Ointros_0,axiom,
% 1.87/2.12 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 1.87/2.12 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_comm__monoid__add_Opower__mult__distrib_0,axiom,
% 1.87/2.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.87/2.12 | c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_n,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,V_n,T_a)),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_b,V_n,T_a)) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_append__step1I_0,axiom,
% 1.87/2.12 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 1.87/2.12 | c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,V_x,T_a),c_List_Oappend(V_xs,V_x,T_a),T_a) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_append__step1I_1,axiom,
% 1.87/2.12 ( c_ListOrder_Ostep1(V_r,c_List_Oappend(V_x,V_vs,T_a),c_List_Oappend(V_x,V_us,T_a),T_a)
% 1.87/2.12 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rotate__simps_0,axiom,
% 1.87/2.12 c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_Cons__step1__Cons_2,axiom,
% 1.87/2.12 ( V_x = V_y
% 1.87/2.12 | V_xs = V_ys
% 1.87/2.12 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_Cons__step1__Cons_4,axiom,
% 1.87/2.12 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 1.87/2.12 | c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_x,T_a),c_List_Olist_OCons(V_xa,V_x,T_a),T_a) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_replicate__eq__replicate_0,axiom,
% 1.87/2.12 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 1.87/2.12 | V_m = V_n ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_Var_I4_J_0,axiom,
% 1.87/2.12 c_Type_Otyping(v_ea______,v_ua______,v_T____) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_accp__downwards_0,axiom,
% 1.87/2.12 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 1.87/2.12 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 1.87/2.12 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_accp__downwards__aux_0,axiom,
% 1.87/2.12 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 1.87/2.12 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 1.87/2.12 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_IT__implies__termi_0,axiom,
% 1.87/2.12 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
% 1.87/2.12 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_termi__implies__IT_0,axiom,
% 1.87/2.12 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 1.87/2.12 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_take__eq__Nil_2,axiom,
% 1.87/2.12 c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rotate1__is__Nil__conv_0,axiom,
% 1.87/2.12 ( c_List_Orotate1(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 1.87/2.12 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rev__swap_0,axiom,
% 1.87/2.12 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rev__swap_1,axiom,
% 1.87/2.12 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rev__rev__ident_0,axiom,
% 1.87/2.12 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_rev__replicate_0,axiom,
% 1.87/2.12 c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_not__Nil__step1_0,axiom,
% 1.87/2.12 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_not__step1__Nil_0,axiom,
% 1.87/2.12 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_App__eq__foldl__conv_5,axiom,
% 1.87/2.12 ( V_r != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),V_xa,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.87/2.12 | 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_Oappend(V_xa,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_conversep__eq_0,axiom,
% 1.87/2.12 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 1.87/2.12
% 1.87/2.12 cnf(cls_comm__monoid__add_Opower__one_0,axiom,
% 1.87/2.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.87/2.12 | c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Cons__step1__Cons_3,axiom,
% 1.87/2.13 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 1.87/2.13 | V_xs = V_ys
% 1.87/2.13 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_listsum_Osimps_I2_J_0,axiom,
% 1.87/2.13 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.87/2.13 | c_List_Olistsum(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Olistsum(V_xs,T_a)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_append__replicate__commute_0,axiom,
% 1.87/2.13 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rev__is__rev__conv_0,axiom,
% 1.87/2.13 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 1.87/2.13 | V_xs = V_ys ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_listsum__rev_0,axiom,
% 1.87/2.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.87/2.13 | c_List_Olistsum(c_List_Orev(V_xs,T_a),T_a) = c_List_Olistsum(V_xs,T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_comm__monoid__add_Opower__commutes_0,axiom,
% 1.87/2.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.87/2.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,V_n,T_a)),V_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,V_n,T_a)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Nil__is__rev__conv_0,axiom,
% 1.87/2.13 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 1.87/2.13 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_conversep__conversep_0,axiom,
% 1.87/2.13 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_power_Opower_Opower__0_0,axiom,
% 1.87/2.13 c_Power_Opower_Opower(V_one,V_times,V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_one ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Cons__step1__Cons_1,axiom,
% 1.87/2.13 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 1.87/2.13 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 1.87/2.13 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Cons__step1__Cons_5,axiom,
% 1.87/2.13 ( c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_x,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 1.87/2.13 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_butlast_Osimps_I1_J_0,axiom,
% 1.87/2.13 c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_app__last_0,axiom,
% 1.87/2.13 hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u) = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Oappend(V_ts,c_List_Olist_OCons(V_u,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Nil__is__rev__conv_1,axiom,
% 1.87/2.13 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_listsum__append_0,axiom,
% 1.87/2.13 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.87/2.13 | c_List_Olistsum(c_List_Oappend(V_xs,V_ys,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_List_Olistsum(V_xs,T_a)),c_List_Olistsum(V_ys,T_a)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_App__eq__foldl__conv_3,axiom,
% 1.87/2.13 ( c_List_Oappend(V_x,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = c_List_Olist_ONil(tc_Lambda_OdB)
% 1.87/2.13 | hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_x,tc_Lambda_OdB,tc_Lambda_OdB)),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Oappend(V_x,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_accp_Ocases_0,axiom,
% 1.87/2.13 ( c_Wellfounded_Oaccp(V_r,V_y,T_a)
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 1.87/2.13 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_accp__downward_0,axiom,
% 1.87/2.13 ( c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 1.87/2.13 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_take__Cons__number__of_0,axiom,
% 1.87/2.13 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.87/2.13 | c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_append__butlast__last__id_0,axiom,
% 1.87/2.13 ( c_List_Oappend(c_List_Obutlast(V_xs,T_a),c_List_Olist_OCons(c_List_Olast(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a) = V_xs
% 1.87/2.13 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_listsum_Osimps_I1_J_0,axiom,
% 1.87/2.13 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.87/2.13 | c_List_Olistsum(c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_replicate__empty_1,axiom,
% 1.87/2.13 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_take__eq__Nil_0,axiom,
% 1.87/2.13 ( c_List_Otake(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 1.87/2.13 | V_xs = c_List_Olist_ONil(T_a)
% 1.87/2.13 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_empty__replicate_1,axiom,
% 1.87/2.13 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_take__0_0,axiom,
% 1.87/2.13 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_replicate__empty_0,axiom,
% 1.87/2.13 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 1.87/2.13 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_empty__replicate_0,axiom,
% 1.87/2.13 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 1.87/2.13 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_singleton__rev__conv_1,axiom,
% 1.87/2.13 c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_last_Osimps_1,axiom,
% 1.87/2.13 ( c_List_Olast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a)
% 1.87/2.13 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rev__singleton__conv_1,axiom,
% 1.87/2.13 c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_singleton__rev__conv_0,axiom,
% 1.87/2.13 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 1.87/2.13 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rev__singleton__conv_0,axiom,
% 1.87/2.13 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 1.87/2.13 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_butlast_Osimps_I2_J_0,axiom,
% 1.87/2.13 c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_last_Osimps_0,axiom,
% 1.87/2.13 c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = V_x ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_butlast_Osimps_I2_J_1,axiom,
% 1.87/2.13 ( c_List_Obutlast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Obutlast(V_xs,T_a),T_a)
% 1.87/2.13 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_append__eq__Cons__conv_3,axiom,
% 1.87/2.13 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 1.87/2.13 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) = V_xs
% 1.87/2.13 | V_zs = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Cons__eq__append__conv_2,axiom,
% 1.87/2.13 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 1.87/2.13 | c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) = V_ys
% 1.87/2.13 | c_List_Olist_OCons(V_x,V_xs,T_a) = V_zs ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_append__eq__Cons__conv_2,axiom,
% 1.87/2.13 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 1.87/2.13 | V_ys = c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)
% 1.87/2.13 | V_zs = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Cons__eq__append__conv_3,axiom,
% 1.87/2.13 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 1.87/2.13 | V_xs = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)
% 1.87/2.13 | c_List_Olist_OCons(V_x,V_xs,T_a) = V_zs ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_replicate__app__Cons__same_0,axiom,
% 1.87/2.13 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_butlast__append_0,axiom,
% 1.87/2.13 c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_last__append_1,axiom,
% 1.87/2.13 ( c_List_Olast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Olast(V_ys,T_a)
% 1.87/2.13 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_last__append_0,axiom,
% 1.87/2.13 c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olast(V_xs,T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_butlast__append_1,axiom,
% 1.87/2.13 ( c_List_Obutlast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(V_xs,c_List_Obutlast(V_ys,T_a),T_a)
% 1.87/2.13 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_apps__preserves__betas_0,axiom,
% 1.87/2.13 ( 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)))
% 1.87/2.13 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Cons__eq__append__conv_1,axiom,
% 1.87/2.13 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 1.87/2.13 | V_xs = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)
% 1.87/2.13 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_append__eq__Cons__conv_0,axiom,
% 1.87/2.13 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 1.87/2.13 | V_ys = c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)
% 1.87/2.13 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_last__snoc_0,axiom,
% 1.87/2.13 c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_x ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_butlast__snoc_0,axiom,
% 1.87/2.13 c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 1.87/2.13 ( V_ys = V_xs
% 1.87/2.13 | V_y = V_x
% 1.87/2.13 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 1.87/2.13 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 1.87/2.13 | V_y = V_x
% 1.87/2.13 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_append__eq__Cons__conv_1,axiom,
% 1.87/2.13 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 1.87/2.13 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) = V_xs
% 1.87/2.13 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Cons__eq__append__conv_0,axiom,
% 1.87/2.13 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 1.87/2.13 | c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) = V_ys
% 1.87/2.13 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 1.87/2.13 c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 1.87/2.13 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 1.87/2.13 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 1.87/2.13 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 1.87/2.13 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 1.87/2.13 | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 1.87/2.13 c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rotate__simps_1,axiom,
% 1.87/2.13 c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 1.87/2.13 ( V_ys = V_xs
% 1.87/2.13 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 1.87/2.13 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_replicate__append__same_0,axiom,
% 1.87/2.13 c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_take__Cons_H_0,axiom,
% 1.87/2.13 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_subst__lemma_0,axiom,
% 1.87/2.13 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 1.87/2.13 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 1.87/2.13 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_foldr__conv__foldl_0,axiom,
% 1.87/2.13 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 1.87/2.13 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,V_a,T_a,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_subst__Var__IT_0,axiom,
% 1.87/2.13 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))
% 1.87/2.13 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_subject__reduction_H_0,axiom,
% 1.87/2.13 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 1.87/2.13 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_Var_I2_J_0,axiom,
% 1.87/2.13 c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_head__Var__reduction_0,axiom,
% 1.87/2.13 ( 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)
% 1.87/2.13 | ~ 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)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_App__eq__foldl__conv_4,axiom,
% 1.87/2.13 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) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_App__eq__foldl__conv_0,axiom,
% 1.87/2.13 ( 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)
% 1.87/2.13 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 1.87/2.13 ( 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)))
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 1.87/2.13 ( 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)))
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 1.87/2.13 ( 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)))
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rtrancl__beta__App_0,axiom,
% 1.87/2.13 ( 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)))
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_foldl__absorb0_0,axiom,
% 1.87/2.13 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.87/2.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_zs,T_a,T_a)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_x,V_zs,T_a,T_a) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_double__induction__lemma_0,axiom,
% 1.87/2.13 ( ~ 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)
% 1.87/2.13 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)
% 1.87/2.13 | 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) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 1.87/2.13 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 1.87/2.13 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 1.87/2.13 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_subst__App_0,axiom,
% 1.87/2.13 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)) ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_subst__eq_0,axiom,
% 1.87/2.13 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 1.87/2.13
% 1.87/2.13 cnf(cls_append__in__listsp__conv_2,axiom,
% 1.87/2.13 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 1.87/2.13 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 1.87/2.13 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_listsum__foldr_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.87/2.14 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_comm__monoid__add_Opower__0_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.87/2.14 | c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_r__into__rtranclp_0,axiom,
% 1.87/2.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_double__eq__0__iff_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.87/2.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 1.87/2.14 ( 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)))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_subst__preserves__beta_H_0,axiom,
% 1.87/2.14 ( 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)))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.87/2.14 | ~ class_Int_Onumber__ring(T_a)
% 1.87/2.14 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 1.87/2.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_foldl__assoc_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 1.87/2.14 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_y,V_zs,T_a,T_a)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_subst__preserves__beta2_0,axiom,
% 1.87/2.14 ( 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)))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_rtranclp__trans_0,axiom,
% 1.87/2.14 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 1.87/2.14 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 1.87/2.14 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_listsp_ONil_0,axiom,
% 1.87/2.14 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_subst__preserves__beta_0,axiom,
% 1.87/2.14 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__in__listsp__conv_1,axiom,
% 1.87/2.14 ( c_List_Olistsp(V_A,V_ys,T_a)
% 1.87/2.14 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__in__listsp__conv_0,axiom,
% 1.87/2.14 ( c_List_Olistsp(V_A,V_xs,T_a)
% 1.87/2.14 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_listsum_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.87/2.14 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_double__eq__0__iff_1,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_add__cancel__21_1,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_add__cancel__21_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_App__eq__foldl__conv_2,axiom,
% 1.87/2.14 ( 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)
% 1.87/2.14 | 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)
% 1.87/2.14 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.87/2.14 | ~ class_Int_Onumber__ring(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)
% 1.87/2.14 | V_y = V_z ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_add__imp__eq_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 1.87/2.14 | V_b = V_c ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_add__left__cancel_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 1.87/2.14 | V_b = V_c ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_add__right__cancel_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)
% 1.87/2.14 | V_b = V_c ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Cons_0,axiom,
% 1.87/2.14 v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_rtranclp__idemp_0,axiom,
% 1.87/2.14 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.87/2.14 | ~ class_Int_Onumber__ring(T_a)
% 1.87/2.14 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_add__0__left_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 1.87/2.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.87/2.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_apps__preserves__beta2_0,axiom,
% 1.87/2.14 ( 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)))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 1.87/2.14 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) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 1.87/2.14 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 1.87/2.14 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 1.87/2.14 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) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 1.87/2.14 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.87/2.14 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Var__eq__apps__conv_1,axiom,
% 1.87/2.14 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.87/2.14 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Var__eq__apps__conv_2,axiom,
% 1.87/2.14 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) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.87/2.14 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_foldl__foldr1_0,axiom,
% 1.87/2.14 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.87/2.14 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_beta_0,axiom,
% 1.87/2.14 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)))) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_head__Var__reduction_1,axiom,
% 1.87/2.14 ( 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)
% 1.87/2.14 | ~ 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)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_IT_OVar_0,axiom,
% 1.87/2.14 ( 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)))
% 1.87/2.14 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Beta_0,axiom,
% 1.87/2.14 ( 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)))
% 1.87/2.14 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 1.87/2.14 | ~ 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))) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_var__app__types_1,axiom,
% 1.87/2.14 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 1.87/2.14 | ~ 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)
% 1.87/2.14 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 1.87/2.14 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_MI1_0,axiom,
% 1.87/2.14 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 1.87/2.14 | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))
% 1.87/2.14 | ~ c_Type_Otyping(V_e,V_u,V_T1)
% 1.87/2.14 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 1.87/2.14 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)
% 1.87/2.14 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_MI2_0,axiom,
% 1.87/2.14 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 1.87/2.14 | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))
% 1.87/2.14 | ~ c_Type_Otyping(V_e,V_u,V_T2)
% 1.87/2.14 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 1.87/2.14 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)
% 1.87/2.14 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_var__app__types_0,axiom,
% 1.87/2.14 ( V_U = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us),V_T,tc_Type_Otype,tc_Type_Otype)
% 1.87/2.14 | ~ 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)
% 1.87/2.14 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 1.87/2.14 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_argsT_0,axiom,
% 1.87/2.14 c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_nT_0,axiom,
% 1.87/2.14 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 1.87/2.14 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_type_Osimps_I5_J_0,axiom,
% 1.87/2.14 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_foldl__append_0,axiom,
% 1.87/2.14 c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_abs_0,axiom,
% 1.87/2.14 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 1.87/2.14 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) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Nil__is__append__conv_2,axiom,
% 1.87/2.14 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_app__Var__IT_0,axiom,
% 1.87/2.14 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 1.87/2.14 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Cons__eq__append__conv_4,axiom,
% 1.87/2.14 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_not__Cons__self_0,axiom,
% 1.87/2.14 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_not__Cons__self2_0,axiom,
% 1.87/2.14 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_appL_0,axiom,
% 1.87/2.14 ( 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)))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_appR_0,axiom,
% 1.87/2.14 ( 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)))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Lambda_0,axiom,
% 1.87/2.14 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 1.87/2.14 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_apps__eq__tail__conv_0,axiom,
% 1.87/2.14 ( 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)
% 1.87/2.14 | V_r = V_s ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_type_Osplit_0,axiom,
% 1.87/2.14 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a)))
% 1.87/2.14 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_type_Osplit__asm_0,axiom,
% 1.87/2.14 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a)))
% 1.87/2.14 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_list_Osimps_I3_J_0,axiom,
% 1.87/2.14 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_neq__Nil__conv_1,axiom,
% 1.87/2.14 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Cons__eq__appendI_0,axiom,
% 1.87/2.14 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Cons__eq__append__conv_5,axiom,
% 1.87/2.14 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__Cons_0,axiom,
% 1.87/2.14 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__eq__Cons__conv_5,axiom,
% 1.87/2.14 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 1.87/2.14 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.87/2.14 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_foldl__Cons_0,axiom,
% 1.87/2.14 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) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_type__induct_2,axiom,
% 1.87/2.14 ( hBOOL(hAPP(V_P,V_T))
% 1.87/2.14 | ~ hBOOL(hAPP(V_P,c_Type_Osko__Type__Xtype__induct__1__1(V_P))) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_list__app__typeE_1,axiom,
% 1.87/2.14 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 1.87/2.14 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_typing__elims_I2_J_1,axiom,
% 1.87/2.14 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))
% 1.87/2.14 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_typing__elims_I3_J_1,axiom,
% 1.87/2.14 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 1.87/2.14 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__same__eq_0,axiom,
% 1.87/2.14 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 1.87/2.14 | V_ys = V_zs ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_same__append__eq_0,axiom,
% 1.87/2.14 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 1.87/2.14 | V_ys = V_zs ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__Nil2_0,axiom,
% 1.87/2.14 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_eq__Nil__appendI_0,axiom,
% 1.87/2.14 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_self__append__conv_1,axiom,
% 1.87/2.14 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__Nil_0,axiom,
% 1.87/2.14 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_self__append__conv2_1,axiom,
% 1.87/2.14 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_type_Osimps_I1_J_0,axiom,
% 1.87/2.14 ( c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OAtom(V_nat_H)
% 1.87/2.14 | V_nat = V_nat_H ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Var__IT_0,axiom,
% 1.87/2.14 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 1.87/2.14 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_True_0,axiom,
% 1.87/2.14 v_n____ = v_i____ ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_foldl__Nil_0,axiom,
% 1.87/2.14 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_shift__eq_0,axiom,
% 1.87/2.14 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 1.87/2.14 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) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Nil__is__append__conv_0,axiom,
% 1.87/2.14 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 1.87/2.14 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Nil__is__append__conv_1,axiom,
% 1.87/2.14 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 1.87/2.14 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 1.87/2.14 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 1.87/2.14 | V_dB = V_dB_H ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__is__Nil__conv_0,axiom,
% 1.87/2.14 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 1.87/2.14 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__is__Nil__conv_1,axiom,
% 1.87/2.14 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 1.87/2.14 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 1.87/2.14 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Var__eq__apps__conv_0,axiom,
% 1.87/2.14 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.87/2.14 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_type_Orecs_I1_J_0,axiom,
% 1.87/2.14 c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_apps__preserves__beta_0,axiom,
% 1.87/2.14 ( 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)))
% 1.87/2.14 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_var__app__type__eq_0,axiom,
% 1.87/2.14 ( V_T = V_U
% 1.87/2.14 | ~ 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)
% 1.87/2.14 | ~ 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) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 1.87/2.14 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 1.87/2.14 | V_dB2 = V_dB2_H ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 1.87/2.14 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 1.87/2.14 | V_dB1 = V_dB1_H ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 1.87/2.14 ( 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)
% 1.87/2.14 | V_rs = V_ss ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 1.87/2.14 ( 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)
% 1.87/2.14 | V_r = V_s ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 1.87/2.14 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 1.87/2.14 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_list_Osimps_I2_J_0,axiom,
% 1.87/2.14 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_beta__cases_I1_J_0,axiom,
% 1.87/2.14 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_list__app__typeD_1,axiom,
% 1.87/2.14 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 1.87/2.14 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__self__conv_0,axiom,
% 1.87/2.14 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 1.87/2.14 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_self__append__conv_0,axiom,
% 1.87/2.14 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 1.87/2.14 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__self__conv2_0,axiom,
% 1.87/2.14 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 1.87/2.14 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_self__append__conv2_0,axiom,
% 1.87/2.14 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 1.87/2.14 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_append__eq__Cons__conv_4,axiom,
% 1.87/2.14 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_list_Oinject_0,axiom,
% 1.87/2.14 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 1.87/2.14 | V_a = V_a_H ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_list_Oinject_1,axiom,
% 1.87/2.14 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 1.87/2.14 | V_list = V_list_H ) ).
% 1.87/2.14
% 1.87/2.14 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 1.87/2.14 ( 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)
% 1.87/2.14 | V_rs = V_ss ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 1.87/2.15 ( 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)
% 1.87/2.15 | V_m = V_n ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 1.87/2.15 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 1.87/2.15 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 1.87/2.15 | V_nat = V_nat_H ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_var__app__typesE_1,axiom,
% 1.87/2.15 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 1.87/2.15 | ~ 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) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 1.87/2.15 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 1.87/2.15 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_append1__eq__conv_0,axiom,
% 1.87/2.15 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 1.87/2.15 | V_xs = V_ys ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_append1__eq__conv_1,axiom,
% 1.87/2.15 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 1.87/2.15 | V_x = V_y ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_append__is__Nil__conv_2,axiom,
% 1.87/2.15 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_append__assoc_0,axiom,
% 1.87/2.15 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_append__eq__appendI_0,axiom,
% 1.87/2.15 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_append__eq__append__conv2_4,axiom,
% 1.87/2.15 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_append__eq__append__conv2_5,axiom,
% 1.87/2.15 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_type_Osimps_I4_J_0,axiom,
% 1.87/2.15 hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_uT_0,axiom,
% 1.87/2.15 c_Type_Otyping(v_e____,v_u____,v_T____) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_typing__elims_I3_J_0,axiom,
% 1.87/2.15 ( V_T = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t)),c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 1.87/2.15 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_subject__reduction_0,axiom,
% 1.87/2.15 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 1.87/2.15 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 1.87/2.15 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_type_Osimps_I2_J_0,axiom,
% 1.87/2.15 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 1.87/2.15 | V_type1 = V_type1_H ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_type_Osimps_I2_J_1,axiom,
% 1.87/2.15 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 1.87/2.15 | V_type2 = V_type2_H ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 1.87/2.15 c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_type__induct_1,axiom,
% 1.87/2.15 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 1.87/2.15 | hBOOL(hAPP(V_P,V_T))
% 1.87/2.15 | hBOOL(hAPP(V_P,V_T2)) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_type__induct_0,axiom,
% 1.87/2.15 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1a),V_x)
% 1.87/2.15 | hBOOL(hAPP(V_P,V_T))
% 1.87/2.15 | hBOOL(hAPP(V_P,V_T1a)) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_App_0,axiom,
% 1.87/2.15 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 1.87/2.15 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 1.87/2.15 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_argT_0,axiom,
% 1.87/2.15 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_Abs_0,axiom,
% 1.87/2.15 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))
% 1.87/2.15 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_typing__elims_I1_J_0,axiom,
% 1.87/2.15 ( hAPP(V_e,V_i) = V_T
% 1.87/2.15 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_foldr__append_0,axiom,
% 1.87/2.15 c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_varT_0,axiom,
% 1.87/2.15 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_headT_0,axiom,
% 1.87/2.15 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_list__app__typeE_0,axiom,
% 1.87/2.15 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 1.87/2.15 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_var__app__typesE_0,axiom,
% 1.87/2.15 ( c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 1.87/2.15 | ~ 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) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_list__app__typeI_0,axiom,
% 1.87/2.15 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)
% 1.87/2.15 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 1.87/2.15 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 1.87/2.15 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_T_0,axiom,
% 1.87/2.15 v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_type_Orecs_I2_J_0,axiom,
% 1.87/2.15 c_Type_Otype_Otype__rec(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_type1),V_type2),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type1,T_a)),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type2,T_a)) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_type_Osimps_I6_J_0,axiom,
% 1.87/2.15 c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(V_f2,V_type1),V_type2) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_typing_OVar_0,axiom,
% 1.87/2.15 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_type_Osplit__asm_1,axiom,
% 1.87/2.15 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_xa),V_xb),t_a)))
% 1.87/2.15 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_type_Osplit_1,axiom,
% 1.87/2.15 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),t_a)))
% 1.87/2.15 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_type_Osimps_I3_J_0,axiom,
% 1.87/2.15 c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_uIT_0,axiom,
% 1.87/2.15 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_list__app__typeD_0,axiom,
% 1.87/2.15 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 1.87/2.15 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_typing__elims_I2_J_0,axiom,
% 1.87/2.15 ( c_Type_Otyping(V_e,V_t,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)),V_T))
% 1.87/2.15 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_CHAINED_0,axiom,
% 1.87/2.15 v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_CHAINED_0_01,axiom,
% 1.87/2.15 c_Type_Otyping(v_e____,v_u____,v_T____) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_conjecture_0,negated_conjecture,
% 1.87/2.15 ~ c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.87/2.15 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.87/2.15 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.87/2.15 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 1.87/2.15 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.87/2.15 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 1.87/2.15 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 1.87/2.15 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.87/2.15 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 1.87/2.15 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.87/2.15 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.87/2.15 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
% 1.87/2.15 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.87/2.15 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__OrderedGroup_Osemigroup__add,axiom,
% 1.87/2.15 class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 1.87/2.15 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
% 1.87/2.15 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 1.87/2.15 class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 1.87/2.15 class_Int_Oring__char__0(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 1.87/2.15 class_Int_Onumber__ring(tc_Int_Oint) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 1.87/2.15 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 1.87/2.15
% 1.87/2.15 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 1.87/2.15 ( V_X = V_Y
% 1.87/2.15 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 1.87/2.15
% 1.87/2.15 %------------------------------------------------------------------------------
% 1.87/2.15 %-------------------------------------------
% 1.87/2.15 % Proof found
% 1.87/2.15 % SZS status Theorem for theBenchmark
% 1.87/2.15 % SZS output start Proof
% 1.87/2.15 %ClaNum:469(EqnAxiom:148)
% 1.87/2.15 %VarNum:1961(SingletonVarNum:839)
% 1.87/2.15 %MaxLitNum:6
% 1.87/2.15 %MaxfuncDepth:5
% 1.87/2.15 %SharedTerms:73
% 1.87/2.15 %goalClause: 276
% 1.87/2.15 %singleGoalClaCount:1
% 1.87/2.15 [149]E(a1,a60)
% 1.87/2.15 [150]P1(a2)
% 1.87/2.15 [151]P2(a2)
% 1.87/2.15 [152]P8(a48)
% 1.87/2.15 [153]P8(a2)
% 1.87/2.15 [154]P13(a48)
% 1.87/2.15 [155]P13(a2)
% 1.87/2.15 [156]P9(a48)
% 1.87/2.15 [157]P9(a2)
% 1.87/2.15 [158]P14(a2)
% 1.87/2.15 [159]P15(a2)
% 1.87/2.15 [160]P16(a48)
% 1.87/2.15 [161]P16(a2)
% 1.87/2.15 [162]P17(a48)
% 1.87/2.15 [163]P17(a2)
% 1.87/2.15 [164]P10(a2)
% 1.87/2.15 [165]P11(a48)
% 1.87/2.15 [166]P11(a2)
% 1.87/2.15 [167]P12(a48)
% 1.87/2.15 [168]P12(a2)
% 1.87/2.15 [180]P3(a58,a62,a52)
% 1.87/2.15 [182]P3(a59,a63,a52)
% 1.87/2.15 [173]P18(f25(a5,a62))
% 1.87/2.15 [174]P18(f25(a5,a63))
% 1.87/2.15 [179]E(f17(a51,a57,a49),a64)
% 1.87/2.15 [234]P3(f34(a59,a1,a52,a50),a51,a53)
% 1.87/2.15 [235]P6(f34(a59,a1,a52,a50),a57,a56)
% 1.87/2.15 [248]E(f25(f25(a45,a53),f20(a45,a56,a54,a50,a50)),a52)
% 1.87/2.15 [250]P3(f34(a58,a61,a52,a50),f19(a9,f8(a60),a64,a49,a49),a55)
% 1.87/2.15 [251]P3(f34(a59,a1,a52,a50),f19(a9,f8(a60),a64,a49,a49),a54)
% 1.87/2.15 [256]P3(f34(a59,a1,a52,a50),f8(a60),f25(f25(a45,a53),f20(a45,a56,a54,a50,a50)))
% 1.87/2.15 [276]~P3(a59,a63,f25(f25(a45,a53),f20(a45,a56,a54,a50,a50)))
% 1.87/2.15 [252]P3(f34(a59,a1,a52,a50),f25(f25(a9,f8(a60)),a51),f20(a45,a56,a54,a50,a50))
% 1.87/2.15 [170]E(f21(f3(x1701),x1701),f3(x1701))
% 1.87/2.15 [171]E(f24(f3(x1711),x1711),f3(x1711))
% 1.87/2.15 [172]E(f4(f3(x1721),x1721),f3(x1721))
% 1.87/2.15 [175]P18(f25(a5,f8(x1751)))
% 1.87/2.15 [195]E(f30(f32(x1951),x1951,x1951),f32(x1951))
% 1.87/2.15 [184]P4(x1841,f3(x1842),x1842)
% 1.87/2.15 [198]P3(x1981,f8(x1982),f25(x1981,x1982))
% 1.87/2.15 [259]~E(f12(x2591),f8(x2592))
% 1.87/2.15 [178]E(f21(f21(x1781,x1782),x1782),x1781)
% 1.87/2.15 [183]E(f26(f26(x1831,x1832),x1832),f26(x1831,x1832))
% 1.87/2.15 [188]E(f13(x1881,f3(x1882),x1882),x1881)
% 1.87/2.15 [189]E(f13(f3(x1891),x1892,x1891),x1892)
% 1.87/2.15 [190]E(f14(f8(x1901),x1902,x1901),x1902)
% 1.87/2.15 [192]E(f22(f6(a48),x1921,x1922),f3(x1922))
% 1.87/2.15 [193]E(f27(f6(a48),x1931,x1932),f3(x1932))
% 1.87/2.15 [194]E(f27(x1941,f3(x1942),x1942),f3(x1942))
% 1.87/2.15 [199]P18(f25(f25(f32(x1991),x1992),x1992))
% 1.87/2.15 [201]E(f18(f17(x2011,f3(x2012),x2012),x2012),x2011)
% 1.87/2.15 [202]E(f4(f17(x2021,f3(x2022),x2022),x2022),f3(x2022))
% 1.87/2.15 [203]E(f18(f13(x2031,f3(x2032),x2032),x2032),f18(x2031,x2032))
% 1.87/2.15 [204]E(f4(f13(x2041,f3(x2042),x2042),x2042),f4(x2041,x2042))
% 1.87/2.15 [211]E(f21(f17(x2111,f3(x2112),x2112),x2112),f17(x2111,f3(x2112),x2112))
% 1.87/2.15 [238]P18(f25(f25(a10,f25(f25(a9,f12(x2381)),x2382)),f14(x2381,x2382,f6(a48))))
% 1.87/2.15 [271]~P18(f25(f25(a10,f8(x2711)),x2712))
% 1.87/2.15 [267]~E(f17(x2671,x2672,x2673),x2672)
% 1.87/2.15 [270]~E(f17(x2701,x2702,x2703),f3(x2703))
% 1.87/2.15 [272]~P5(x2721,x2722,f3(x2723),x2723)
% 1.87/2.15 [273]~P5(x2731,f3(x2732),x2733,x2732)
% 1.87/2.15 [200]E(f22(f6(a48),x2001,x2002),f22(f6(a48),x2003,x2002))
% 1.87/2.15 [205]E(f30(f30(x2051,x2052,x2053),x2053,x2052),x2051)
% 1.87/2.15 [207]E(f21(f22(x2071,x2072,x2073),x2073),f22(x2071,x2072,x2073))
% 1.87/2.15 [214]E(f13(f21(x2141,x2142),f21(x2143,x2142),x2142),f21(f13(x2143,x2141,x2142),x2142))
% 1.87/2.15 [260]~E(f8(x2601),f25(f25(a9,x2602),x2603))
% 1.87/2.15 [261]~E(f12(x2611),f25(f25(a9,x2612),x2613))
% 1.87/2.15 [262]~E(f33(x2621),f25(f25(a45,x2622),x2623))
% 1.87/2.15 [263]~E(f25(f25(a9,x2631),x2632),f8(x2633))
% 1.87/2.15 [264]~E(f25(f25(a9,x2641),x2642),f12(x2643))
% 1.87/2.15 [265]~E(f25(f25(a45,x2651),x2652),f33(x2653))
% 1.87/2.15 [209]P18(f25(f25(f26(x2091,x2092),x2093),x2093))
% 1.87/2.15 [217]E(f13(x2171,f17(x2172,f3(x2173),x2173),x2173),f24(f17(x2172,x2171,x2173),x2173))
% 1.87/2.15 [218]E(f13(f21(x2181,x2182),f17(x2183,f3(x2182),x2182),x2182),f21(f17(x2183,x2181,x2182),x2182))
% 1.87/2.15 [230]E(f13(f22(x2301,x2302,x2303),f17(x2302,f3(x2303),x2303),x2303),f17(x2302,f22(x2301,x2302,x2303),x2303))
% 1.87/2.15 [228]E(f18(f13(x2281,f17(x2282,f3(x2283),x2283),x2283),x2283),x2282)
% 1.87/2.15 [229]E(f4(f13(x2291,f17(x2292,f3(x2293),x2293),x2293),x2293),x2291)
% 1.87/2.15 [231]E(f21(f13(f21(x2311,x2312),f17(x2313,f3(x2312),x2312),x2312),x2312),f17(x2313,x2311,x2312))
% 1.87/2.15 [257]E(f19(a9,x2571,f13(x2572,f17(x2573,f3(a49),a49),a49),a49,a49),f25(f25(a9,f19(a9,x2571,x2572,a49,a49)),x2573))
% 1.87/2.15 [215]E(f44(x2151,x2152,f33(x2153),x2154),f25(x2151,x2153))
% 1.87/2.15 [216]E(f46(x2161,x2162,f33(x2163),x2164),f25(x2161,x2163))
% 1.87/2.15 [224]E(f17(x2241,f13(x2242,x2243,x2244),x2244),f13(f17(x2241,x2242,x2244),x2243,x2244))
% 1.87/2.15 [226]E(f13(f13(x2261,x2262,x2263),x2264,x2263),f13(x2261,f13(x2262,x2264,x2263),x2263))
% 1.87/2.15 [233]E(f25(f34(x2331,x2332,x2333,x2334),x2332),x2333)
% 1.87/2.15 [236]E(f13(f22(x2361,x2362,x2363),f22(x2364,x2362,x2363),x2363),f13(f22(x2364,x2362,x2363),f22(x2361,x2362,x2363),x2363))
% 1.87/2.15 [239]E(f31(x2391,x2392,x2393,f6(a48),x2394),x2391)
% 1.87/2.15 [240]E(f19(x2401,x2402,f3(x2403),x2404,x2403),x2402)
% 1.87/2.15 [241]E(f20(x2411,f3(x2412),x2413,x2412,x2414),x2413)
% 1.87/2.15 [275]~E(f19(a9,f12(x2751),x2752,a49,a49),f19(a9,f8(x2753),x2754,a49,a49))
% 1.87/2.15 [232]E(f25(f25(a9,f14(x2321,x2322,x2323)),f14(x2324,x2322,x2323)),f14(f25(f25(a9,x2321),x2324),x2322,x2323))
% 1.87/2.15 [237]E(f17(x2371,f13(f22(x2372,x2371,x2373),x2374,x2373),x2373),f13(f22(x2372,x2371,x2373),f17(x2371,x2374,x2373),x2373))
% 1.87/2.15 [274]~E(f25(f25(a9,f12(x2741)),x2742),f19(a9,f8(x2743),x2744,a49,a49))
% 1.87/2.15 [227]E(f44(x2271,x2272,f25(f25(a45,x2273),x2274),x2275),f25(f25(x2272,x2273),x2274))
% 1.87/2.15 [246]E(f25(f25(f25(f25(x2461,x2462),x2463),f46(x2464,x2461,x2462,x2465)),f46(x2464,x2461,x2463,x2465)),f46(x2464,x2461,f25(f25(a45,x2462),x2463),x2465))
% 1.87/2.15 [253]E(f20(x2531,f17(x2532,x2533,x2534),x2535,x2534,x2536),f25(f25(x2531,x2532),f20(x2531,x2533,x2535,x2534,x2536)))
% 1.87/2.15 [254]E(f19(x2541,f19(x2541,x2542,x2543,x2544,x2545),x2546,x2544,x2545),f19(x2541,x2542,f13(x2543,x2546,x2545),x2544,x2545))
% 1.87/2.15 [255]E(f20(x2551,x2552,f20(x2551,x2553,x2554,x2555,x2556),x2555,x2556),f20(x2551,f13(x2552,x2553,x2555),x2554,x2555,x2556))
% 1.87/2.15 [249]E(f19(x2491,x2492,f17(x2493,x2494,x2495),x2496,x2495),f19(x2491,f25(f25(x2491,x2492),x2493),x2494,x2496,x2495))
% 1.87/2.15 [337]P7(f30(a10,a49,a49),x3371,a49)+~P18(f25(a5,x3371))
% 1.87/2.15 [347]~P7(f30(a10,a49,a49),x3471,a49)+P18(f25(a5,x3471))
% 1.87/2.15 [280]~P13(x2801)+E(f23(f3(x2801),x2801),f6(x2801))
% 1.87/2.15 [295]~P14(x2951)+E(f25(f25(f7(x2951),f6(x2951)),f6(x2951)),f6(x2951))
% 1.87/2.15 [296]~P18(f25(a5,x2961))+P18(f25(a5,f12(x2961)))
% 1.87/2.15 [277]E(x2771,x2772)+~E(f8(x2771),f8(x2772))
% 1.87/2.15 [278]E(x2781,x2782)+~E(f12(x2781),f12(x2782))
% 1.87/2.15 [279]E(x2791,x2792)+~E(f33(x2791),f33(x2792))
% 1.87/2.15 [282]~E(f21(x2821,x2822),f3(x2822))+E(x2821,f3(x2822))
% 1.87/2.15 [283]~E(f24(x2831,x2832),f3(x2832))+E(x2831,f3(x2832))
% 1.87/2.15 [286]~P8(x2862)+E(f23(f21(x2861,x2862),x2862),f23(x2861,x2862))
% 1.87/2.15 [287]~P8(x2871)+E(f25(f25(f7(x2871),x2872),f6(x2871)),x2872)
% 1.87/2.15 [288]~P13(x2881)+E(f25(f25(f7(x2881),x2882),f6(x2881)),x2882)
% 1.87/2.15 [289]~P17(x2891)+E(f25(f25(f7(x2891),x2892),f6(x2891)),x2892)
% 1.87/2.15 [307]P18(f25(x3071,x3072))+~P18(f25(x3071,f35(x3071)))
% 1.87/2.15 [342]~P18(f25(f25(a10,x3421),x3422))+P18(f25(f25(a10,f12(x3421)),f12(x3422)))
% 1.87/2.15 [405]~P8(x4051)+E(f31(f6(x4051),f7(x4051),f6(x4051),x4052,x4051),f6(x4051))
% 1.87/2.15 [406]~P13(x4061)+E(f20(f7(x4061),x4062,f6(x4061),x4061,x4061),f23(x4062,x4061))
% 1.87/2.15 [407]~P13(x4071)+E(f19(f7(x4071),f6(x4071),x4072,x4071,x4071),f23(x4072,x4071))
% 1.87/2.15 [429]~P13(x4291)+E(f20(f7(x4291),x4292,f6(x4291),x4291,x4291),f19(f7(x4291),f6(x4291),x4292,x4291,x4291))
% 1.87/2.15 [290]~P8(x2901)+E(f25(f25(f7(x2901),f6(x2901)),x2902),x2902)
% 1.87/2.15 [291]~P13(x2911)+E(f25(f25(f7(x2911),f6(x2911)),x2912),x2912)
% 1.87/2.15 [293]~P17(x2931)+E(f25(f25(f7(x2931),f6(x2931)),x2932),x2932)
% 1.87/2.15 [343]~P18(f25(a5,x3431))+P18(f25(a5,f25(f25(a9,x3431),f8(x3432))))
% 1.87/2.15 [344]E(x3441,f3(x3442))+E(f13(f4(x3441,x3442),f17(f18(x3441,x3442),f3(x3442),x3442),x3442),x3441)
% 1.87/2.15 [369]P18(f25(f25(f26(a10,a49),f12(x3691)),f12(x3692)))+~P18(f25(f25(f26(a10,a49),x3691),x3692))
% 1.87/2.15 [452]~P4(a5,x4522,a49)+P18(f25(a5,f19(a9,f8(x4521),x4522,a49,a49)))
% 1.87/2.15 [284]E(x2841,x2842)+~E(f21(x2841,x2843),f21(x2842,x2843))
% 1.87/2.15 [299]~E(f13(x2993,x2991,x2992),x2993)+E(x2991,f3(x2992))
% 1.87/2.15 [300]~E(f13(x3001,x3003,x3002),x3003)+E(x3001,f3(x3002))
% 1.87/2.15 [302]~E(f22(x3021,x3022,x3023),f3(x3023))+E(x3021,f6(a48))
% 1.87/2.15 [305]~E(f13(x3053,x3051,x3052),f3(x3052))+E(x3051,f3(x3052))
% 1.87/2.15 [306]~E(f13(x3061,x3063,x3062),f3(x3062))+E(x3061,f3(x3062))
% 1.87/2.15 [311]~P3(x3111,f8(x3112),x3113)+E(f25(x3111,x3112),x3113)
% 1.87/2.15 [418]~E(f8(x4182),f19(a9,x4183,x4181,a49,a49))+E(x4181,f3(a49))
% 1.87/2.15 [419]~E(f12(x4192),f19(a9,x4193,x4191,a49,a49))+E(x4191,f3(a49))
% 1.87/2.15 [420]~E(f19(a9,x4202,x4201,a49,a49),f12(x4203))+E(x4201,f3(a49))
% 1.87/2.15 [421]E(x4211,f12(x4212))+~E(f19(a9,x4211,x4213,a49,a49),f12(x4212))
% 1.87/2.15 [422]E(f8(x4221),x4222)+~E(f8(x4221),f19(a9,x4222,x4223,a49,a49))
% 1.87/2.15 [423]E(f12(x4231),x4232)+~E(f12(x4231),f19(a9,x4232,x4233,a49,a49))
% 1.87/2.15 [443]E(x4431,x4432)+~E(f19(a9,x4431,x4433,a49,a49),f19(a9,x4432,x4433,a49,a49))
% 1.87/2.15 [321]E(x3211,f6(a48))+E(f18(f22(x3211,x3212,x3213),x3213),x3212)
% 1.87/2.15 [322]E(x3221,f3(x3222))+E(f18(f17(x3223,x3221,x3222),x3222),f18(x3221,x3222))
% 1.87/2.15 [323]E(x3231,f3(x3232))+E(f18(f13(x3233,x3231,x3232),x3232),f18(x3231,x3232))
% 1.87/2.15 [334]~E(f21(x3341,x3343),f17(x3342,f3(x3343),x3343))+E(x3341,f17(x3342,f3(x3343),x3343))
% 1.87/2.15 [335]~E(f17(x3352,f3(x3353),x3353),f21(x3351,x3353))+E(x3351,f17(x3352,f3(x3353),x3353))
% 1.87/2.15 [338]~P13(x3381)+E(f25(f25(f7(x3381),x3382),f23(x3383,x3381)),f23(f17(x3382,x3383,x3381),x3381))
% 1.87/2.15 [339]E(x3391,f3(x3392))+E(f17(x3393,f4(x3391,x3392),x3392),f4(f17(x3393,x3391,x3392),x3392))
% 1.87/2.15 [340]E(x3401,f3(x3402))+E(f13(x3403,f4(x3401,x3402),x3402),f4(f13(x3403,x3401,x3402),x3402))
% 1.87/2.15 [345]~P13(x3451)+E(f25(f25(f7(x3451),f23(x3452,x3451)),f23(x3453,x3451)),f23(f13(x3452,x3453,x3451),x3451))
% 1.87/2.15 [370]~P3(x3702,f12(x3703),x3701)+E(f25(f25(a45,f38(x3701,x3702,x3703)),f41(x3701,x3702,x3703)),x3701)
% 1.87/2.15 [395]~P3(x3951,f12(x3953),x3952)+P3(f34(x3951,f6(a48),f38(x3952,x3951,x3953),a50),x3953,f41(x3952,x3951,x3953))
% 1.87/2.15 [424]E(f25(f25(a9,x4241),x4242),x4243)+~E(f25(f25(a9,x4241),x4242),f19(a9,x4243,f3(a49),a49,a49))
% 1.87/2.15 [428]~P9(x4281)+E(f20(f7(x4281),x4282,x4283,x4281,x4281),f19(f7(x4281),x4283,x4282,x4281,x4281))
% 1.87/2.15 [463]~P18(f25(f25(a10,x4631),x4633))+P18(f25(f25(a10,f19(a9,x4631,x4632,a49,a49)),f19(a9,x4633,x4632,a49,a49)))
% 1.87/2.15 [465]~P5(a10,x4652,x4653,a49)+P18(f25(f25(a10,f19(a9,x4651,x4652,a49,a49)),f19(a9,x4651,x4653,a49,a49)))
% 1.87/2.15 [312]~P8(x3121)+E(f25(f25(f7(x3121),x3122),x3123),f25(f25(f7(x3121),x3123),x3122))
% 1.87/2.15 [314]~P17(x3141)+E(f25(f25(f7(x3141),x3142),x3143),f25(f25(f7(x3141),x3143),x3142))
% 1.87/2.15 [324]E(x3241,x3242)+~P18(f25(f25(f32(x3243),x3241),x3242))
% 1.87/2.15 [351]~P18(f25(a5,x3511))+P18(f25(a5,f14(x3511,f8(x3512),x3513)))
% 1.87/2.15 [377]~P18(f25(f25(a10,x3771),x3773))+P18(f25(f25(a10,f25(f25(a9,x3771),x3772)),f25(f25(a9,x3773),x3772)))
% 1.87/2.15 [378]~P18(f25(f25(a10,x3782),x3783))+P18(f25(f25(a10,f25(f25(a9,x3781),x3782)),f25(f25(a9,x3781),x3783)))
% 1.87/2.15 [387]~P18(f25(f25(f26(a10,a49),x3871),x3873))+P18(f25(f25(f26(a10,a49),f25(f25(a9,x3871),x3872)),f25(f25(a9,x3873),x3872)))
% 1.87/2.15 [388]~P18(f25(f25(f26(a10,a49),x3882),x3883))+P18(f25(f25(f26(a10,a49),f25(f25(a9,x3881),x3882)),f25(f25(a9,x3881),x3883)))
% 1.87/2.15 [441]~P13(x4411)+E(f25(f25(f7(x4411),x4412),f20(f7(x4411),x4413,f6(x4411),x4411,x4411)),f19(f7(x4411),x4412,x4413,x4411,x4411))
% 1.87/2.15 [442]~P13(x4421)+E(f25(f25(f7(x4421),x4422),f19(f7(x4421),f6(x4421),x4423,x4421,x4421)),f19(f7(x4421),x4422,x4423,x4421,x4421))
% 1.87/2.15 [464]P18(f25(f25(f26(a10,a49),f19(a9,x4641,x4642,a49,a49)),f19(a9,x4643,x4642,a49,a49)))+~P18(f25(f25(f26(a10,a49),x4641),x4643))
% 1.87/2.15 [439]~E(f19(a9,f25(f25(a9,x4391),x4392),x4393,a49,a49),x4391)+E(f19(a9,f25(f25(a9,x4391),x4392),f13(x4393,f17(x4392,f3(a49),a49),a49),a49,a49),f25(f25(a9,x4391),x4392))
% 1.87/2.15 [466]P5(a10,x4661,f16(x4662,x4661,x4663),a49)+~P18(f25(f25(a10,f19(a9,f8(x4662),x4661,a49,a49)),x4663))
% 1.87/2.15 [468]E(f19(a9,f8(x4681),f16(x4681,x4682,x4683),a49,a49),x4683)+~P18(f25(f25(a10,f19(a9,f8(x4681),x4682,a49,a49)),x4683))
% 1.87/2.15 [326]E(x3261,x3262)+~E(f13(x3263,x3261,x3264),f13(x3263,x3262,x3264))
% 1.87/2.15 [328]E(x3281,x3282)+~E(f13(x3281,x3283,x3284),f13(x3282,x3283,x3284))
% 1.87/2.15 [352]P4(x3521,x3522,x3523)+~P4(x3521,f13(x3524,x3522,x3523),x3523)
% 1.87/2.15 [353]P4(x3531,x3532,x3533)+~P4(x3531,f13(x3532,x3534,x3533),x3533)
% 1.87/2.15 [449]P6(x4491,x4492,f36(x4493,x4491,x4494,x4492))+~P3(x4491,f19(a9,x4494,x4492,a49,a49),x4493)
% 1.87/2.15 [450]P6(x4501,x4502,f37(x4503,x4501,x4504,x4502))+~P3(x4501,f19(a9,x4504,x4502,a49,a49),x4503)
% 1.87/2.15 [315]E(x3151,x3152)+~E(f25(f25(a9,x3153),x3151),f25(f25(a9,x3154),x3152))
% 1.87/2.15 [316]E(x3161,x3162)+~E(f25(f25(a45,x3163),x3161),f25(f25(a45,x3164),x3162))
% 1.87/2.15 [317]E(x3171,x3172)+~E(f25(f25(a9,x3171),x3173),f25(f25(a9,x3172),x3174))
% 1.87/2.15 [318]E(x3181,x3182)+~E(f25(f25(a45,x3181),x3183),f25(f25(a45,x3182),x3184))
% 1.87/2.15 [341]~E(f11(x3411,a48),f6(a48))+E(f27(f11(x3411,a48),f17(x3412,x3413,x3414),x3414),f3(x3414))
% 1.87/2.15 [383]P3(x3831,x3832,f39(x3833,x3831,x3834,x3832))+~P3(x3831,f25(f25(a9,x3834),x3832),x3833)
% 1.87/2.15 [386]~P18(f25(f25(a10,x3861),x3864))+P18(f25(f25(a10,f14(x3861,x3862,x3863)),f14(x3864,x3862,x3863)))
% 1.87/2.15 [394]P18(f25(f25(f26(a10,a49),f14(x3941,x3942,x3943)),f14(x3941,x3944,x3943)))+~P18(f25(f25(a10,x3942),x3944))
% 1.87/2.15 [397]P3(x3971,f12(x3972),f25(f25(a45,x3973),x3974))+~P3(f34(x3971,f6(a48),x3973,a50),x3972,x3974)
% 1.87/2.15 [445]E(x4451,x4452)+~E(f19(a9,f8(x4453),x4451,a49,a49),f19(a9,f8(x4454),x4452,a49,a49))
% 1.87/2.15 [446]E(x4461,x4462)+~E(f19(a9,f12(x4463),x4461,a49,a49),f19(a9,f12(x4464),x4462,a49,a49))
% 1.87/2.15 [447]E(x4471,x4472)+~E(f19(a9,f8(x4471),x4473,a49,a49),f19(a9,f8(x4472),x4474,a49,a49))
% 1.87/2.15 [448]E(x4481,x4482)+~E(f19(a9,f12(x4481),x4483,a49,a49),f19(a9,f12(x4482),x4484,a49,a49))
% 1.87/2.15 [451]P6(x4511,x4512,f42(x4513,x4511,x4514,x4512))+~P3(x4511,f19(a9,f8(x4514),x4512,a49,a49),x4513)
% 1.87/2.15 [455]~P3(x4551,f19(a9,x4552,x4554,a49,a49),x4553)+P3(x4551,x4552,f20(a45,f36(x4553,x4551,x4552,x4554),x4553,a50,a50))
% 1.87/2.15 [456]~P3(x4561,f19(a9,x4562,x4564,a49,a49),x4563)+P3(x4561,x4562,f20(a45,f37(x4563,x4561,x4562,x4564),x4563,a50,a50))
% 1.87/2.15 [457]~P3(x4571,f19(a9,f8(x4572),x4574,a49,a49),x4573)+P3(x4571,f8(x4572),f20(a45,f42(x4573,x4571,x4572,x4574),x4573,a50,a50))
% 1.87/2.15 [350]~E(f21(x3501,x3503),f17(x3504,x3502,x3503))+E(x3501,f13(f21(x3502,x3503),f17(x3504,f3(x3503),x3503),x3503))
% 1.87/2.15 [354]~P18(f25(f25(x3541,x3543),x3544))+P18(f25(f25(f26(x3541,x3542),x3543),x3544))
% 1.87/2.15 [399]P18(f25(f25(f26(a10,a49),f14(x3991,x3992,x3993)),f14(x3994,x3992,x3993)))+~P18(f25(f25(f26(a10,a49),x3991),x3994))
% 1.87/2.15 [400]P18(f25(f25(f26(a10,a49),f14(x4001,x4002,x4003)),f14(x4001,x4004,x4003)))+~P18(f25(f25(f26(a10,a49),x4002),x4004))
% 1.87/2.15 [403]P3(x4031,x4032,f40(x4033,x4031,x4032,x4034))+~P6(x4031,f13(x4034,f17(x4032,f3(a49),a49),a49),x4033)
% 1.87/2.15 [414]P18(f25(x4141,f25(x4142,x4143)))+~P18(f25(x4141,f44(x4142,x4144,f33(x4143),a47)))
% 1.87/2.15 [427]~P3(x4271,f25(f25(a9,x4272),x4274),x4273)+P3(x4271,x4272,f25(f25(a45,f39(x4273,x4271,x4272,x4274)),x4273))
% 1.87/2.15 [355]~P8(x3551)+E(f25(f25(f7(x3551),x3552),f25(f25(f7(x3551),x3553),x3554)),f25(f25(f7(x3551),x3553),f25(f25(f7(x3551),x3552),x3554)))
% 1.87/2.15 [356]~P17(x3561)+E(f25(f25(f7(x3561),x3562),f25(f25(f7(x3561),x3563),x3564)),f25(f25(f7(x3561),x3563),f25(f25(f7(x3561),x3562),x3564)))
% 1.87/2.15 [357]~P10(x3571)+E(f25(f25(f7(x3571),x3572),f25(f25(f7(x3571),x3573),x3574)),f25(f25(f7(x3571),x3573),f25(f25(f7(x3571),x3572),x3574)))
% 1.87/2.15 [410]~P18(f25(f25(f26(x4101,x4102),x4104),x4103))+P18(f25(f25(f26(f30(x4101,x4102,x4102),x4102),x4103),x4104))
% 1.87/2.15 [417]P18(f25(f25(f26(x4171,x4172),x4173),x4174))+~P18(f25(f25(f26(f30(x4171,x4172,x4172),x4172),x4174),x4173))
% 1.87/2.15 [444]~P16(x4441)+E(f19(f7(x4441),f25(f25(f7(x4441),x4442),x4443),x4444,x4441,x4441),f25(f25(f7(x4441),x4442),f19(f7(x4441),x4443,x4444,x4441,x4441)))
% 1.87/2.15 [461]~P8(x4611)+E(f25(f25(f7(x4611),f31(f6(x4611),f7(x4611),x4612,x4613,x4611)),f31(f6(x4611),f7(x4611),x4614,x4613,x4611)),f31(f6(x4611),f7(x4611),f25(f25(f7(x4611),x4612),x4614),x4613,x4611))
% 1.87/2.15 [364]~P8(x3641)+E(f25(f25(f7(x3641),f25(f25(f7(x3641),x3642),x3643)),x3644),f25(f25(f7(x3641),x3642),f25(f25(f7(x3641),x3643),x3644)))
% 1.87/2.15 [365]~P9(x3651)+E(f25(f25(f7(x3651),f25(f25(f7(x3651),x3652),x3653)),x3654),f25(f25(f7(x3651),x3652),f25(f25(f7(x3651),x3653),x3654)))
% 1.87/2.15 [366]~P17(x3661)+E(f25(f25(f7(x3661),f25(f25(f7(x3661),x3662),x3663)),x3664),f25(f25(f7(x3661),x3662),f25(f25(f7(x3661),x3663),x3664)))
% 1.87/2.15 [371]~P17(x3711)+E(f25(f25(f7(x3711),f25(f25(f7(x3711),x3712),x3713)),x3714),f25(f25(f7(x3711),f25(f25(f7(x3711),x3712),x3714)),x3713))
% 1.87/2.15 [325]E(x3251,x3252)+~E(f17(x3253,x3251,x3254),f17(x3255,x3252,x3254))
% 1.87/2.15 [327]E(x3271,x3272)+~E(f17(x3271,x3273,x3274),f17(x3272,x3275,x3274))
% 1.87/2.15 [329]E(x3291,x3292)+~E(f22(x3291,x3293,x3294),f22(x3292,x3295,x3294))
% 1.87/2.15 [389]~P5(x3891,x3893,x3895,x3894)+P5(x3891,f17(x3892,x3893,x3894),f17(x3892,x3895,x3894),x3894)
% 1.87/2.15 [390]~P5(x3901,x3902,x3905,x3904)+P5(x3901,f13(x3902,x3903,x3904),f13(x3905,x3903,x3904),x3904)
% 1.87/2.15 [391]~P5(x3911,x3913,x3915,x3914)+P5(x3911,f13(x3912,x3913,x3914),f13(x3912,x3915,x3914),x3914)
% 1.87/2.15 [374]P5(x3741,f17(x3742,x3743,x3744),f17(x3745,x3743,x3744),x3744)+~P18(f25(f25(x3741,x3742),x3745))
% 1.87/2.15 [372]E(x3721,x3722)+~E(f13(x3723,f17(x3721,f3(x3724),x3724),x3724),f13(x3725,f17(x3722,f3(x3724),x3724),x3724))
% 1.87/2.15 [373]E(x3731,x3732)+~E(f13(x3731,f17(x3733,f3(x3734),x3734),x3734),f13(x3732,f17(x3735,f3(x3734),x3734),x3734))
% 1.87/2.15 [380]~P18(f25(f25(x3801,x3805),x3804))+P18(f25(f25(f30(x3801,x3802,x3803),x3804),x3805))
% 1.87/2.15 [393]P18(f25(f25(x3931,x3932),x3933))+~P18(f25(f25(f30(x3931,x3934,x3935),x3933),x3932))
% 1.87/2.15 [381]~P17(x3811)+E(f25(f25(f7(x3811),f25(f25(f7(x3811),x3812),x3813)),f25(f25(f7(x3811),x3814),x3815)),f25(f25(f7(x3811),f25(f25(f7(x3811),x3812),x3814)),f25(f25(f7(x3811),x3813),x3815)))
% 1.87/2.15 [426]P18(f25(x4261,f25(f25(x4262,x4263),x4264)))+~P18(f25(x4261,f44(x4265,x4262,f25(f25(a45,x4263),x4264),a47)))
% 1.87/2.15 [294]~P2(x2941)+~P15(x2941)+E(f25(f25(f7(x2941),x2942),f6(x2941)),x2942)
% 1.87/2.15 [308]~P14(x3082)+E(x3081,f6(x3082))+~E(f25(f25(f7(x3082),x3081),x3081),f6(x3082))
% 1.87/2.15 [309]~E(f27(x3093,x3091,x3092),f3(x3092))+E(x3091,f3(x3092))+E(x3093,f6(a48))
% 1.87/2.15 [458]~P7(f30(a10,a49,a49),x4582,a49)+~P7(f30(a10,a49,a49),f19(a9,f14(x4581,x4582,f6(a48)),x4583,a49,a49),a49)+P7(f30(a10,a49,a49),f19(a9,f25(f25(a9,f12(x4581)),x4582),x4583,a49,a49),a49)
% 1.87/2.15 [462]~P18(f25(a5,x4622))+~P18(f25(a5,f19(a9,f14(x4621,x4622,f6(a48)),x4623,a49,a49)))+P18(f25(a5,f19(a9,f25(f25(a9,f12(x4621)),x4622),x4623,a49,a49)))
% 1.87/2.15 [358]~P4(x3581,x3583,x3584)+~P4(x3581,x3582,x3584)+P4(x3581,f13(x3582,x3583,x3584),x3584)
% 1.87/2.15 [319]P18(f25(x3191,x3192))+P18(f25(x3191,x3193))+~E(f35(x3191),f25(f25(a45,x3194),x3193))
% 1.87/2.15 [320]P18(f25(x3201,x3202))+P18(f25(x3201,x3203))+~E(f35(x3201),f25(f25(a45,x3203),x3204))
% 1.87/2.15 [346]P3(x3461,x3462,x3463)+~P3(x3461,x3464,x3463)+~P18(f25(f25(a10,x3464),x3462))
% 1.87/2.15 [349]P7(x3491,x3492,x3493)+~P7(x3491,x3494,x3493)+~P18(f25(f25(x3491,x3492),x3494))
% 1.87/2.15 [440]E(x4401,f3(a49))+E(f19(a9,x4402,f15(x4403,x4404,x4402,x4401),a49,a49),x4403)+~E(f25(f25(a9,x4403),x4404),f19(a9,x4402,x4401,a49,a49))
% 1.87/2.15 [330]~P11(x3303)+E(x3301,x3302)+~E(f25(f25(f7(x3303),x3304),x3301),f25(f25(f7(x3303),x3304),x3302))
% 1.87/2.15 [331]~P12(x3313)+E(x3311,x3312)+~E(f25(f25(f7(x3313),x3314),x3311),f25(f25(f7(x3313),x3314),x3312))
% 1.87/2.15 [332]~P12(x3323)+E(x3321,x3322)+~E(f25(f25(f7(x3323),x3321),x3324),f25(f25(f7(x3323),x3322),x3324))
% 1.87/2.15 [360]P3(x3601,x3602,x3603)+~P3(x3601,x3604,x3603)+~P18(f25(f25(f26(a10,a49),x3604),x3602))
% 1.87/2.15 [368]P7(x3681,x3682,x3683)+~P7(x3681,x3684,x3683)+~P18(f25(f25(f26(x3681,x3683),x3682),x3684))
% 1.87/2.15 [401]~P18(f25(f25(f26(a10,a49),x4011),x4013))+~P18(f25(f25(f26(a10,a49),x4012),x4014))+P18(f25(f25(f26(a10,a49),f25(f25(a9,x4011),x4012)),f25(f25(a9,x4013),x4014)))
% 1.87/2.15 [430]E(x4301,f3(a49))+~E(f25(f25(a9,x4302),x4303),f19(a9,x4304,x4301,a49,a49))+E(f13(f15(x4302,x4303,x4304,x4301),f17(x4303,f3(a49),a49),a49),x4301)
% 1.87/2.15 [333]E(x3331,x3332)+~E(f22(x3333,x3331,x3334),f22(x3335,x3332,x3334))+E(x3333,f6(a48))
% 1.87/2.15 [453]~P6(x4531,x4533,x4535)+~P3(x4531,x4532,f20(a45,x4535,x4534,a50,a50))+P3(x4531,f19(a9,x4532,x4533,a49,a49),x4534)
% 1.87/2.15 [361]~P3(x3611,x3613,x3615)+~P3(x3611,x3612,f25(f25(a45,x3615),x3614))+P3(x3611,f25(f25(a9,x3612),x3613),x3614)
% 1.87/2.15 [431]~E(f13(x4311,x4315,x4312),f17(x4313,x4314,x4312))+E(x4311,f3(x4312))+E(f17(x4313,f28(x4313,x4314,x4311,x4315,x4312),x4312),x4311)
% 1.87/2.15 [432]~E(f13(x4321,x4325,x4322),f17(x4323,x4324,x4322))+E(x4321,f3(x4322))+E(f13(f29(x4323,x4324,x4321,x4325,x4322),x4325,x4322),x4324)
% 1.87/2.15 [433]~E(f13(x4331,x4335,x4332),f17(x4333,x4334,x4332))+E(x4331,f3(x4332))+E(f17(x4333,f29(x4333,x4334,x4331,x4335,x4332),x4332),x4331)
% 1.87/2.15 [434]~E(f13(x4341,x4345,x4342),f17(x4343,x4344,x4342))+E(x4341,f3(x4342))+E(f13(f28(x4343,x4344,x4341,x4345,x4342),x4345,x4342),x4344)
% 1.87/2.15 [435]~E(f13(x4355,x4351,x4354),f17(x4352,x4353,x4354))+E(x4351,f17(x4352,x4353,x4354))+E(f17(x4352,f28(x4352,x4353,x4355,x4351,x4354),x4354),x4355)
% 1.87/2.15 [436]~E(f13(x4365,x4361,x4364),f17(x4362,x4363,x4364))+E(x4361,f17(x4362,x4363,x4364))+E(f13(f28(x4362,x4363,x4365,x4361,x4364),x4361,x4364),x4363)
% 1.87/2.15 [437]~E(f13(x4375,x4374,x4373),f17(x4371,x4372,x4373))+E(f17(x4371,x4372,x4373),x4374)+E(f13(f29(x4371,x4372,x4375,x4374,x4373),x4374,x4373),x4372)
% 1.87/2.15 [438]~E(f13(x4385,x4384,x4383),f17(x4381,x4382,x4383))+E(f17(x4381,x4382,x4383),x4384)+E(f17(x4381,f29(x4381,x4382,x4385,x4384,x4383),x4383),x4385)
% 1.87/2.15 [460]E(x4601,x4602)+~P3(x4603,f19(a9,f8(x4604),x4605,a49,a49),x4601)+~P3(x4603,f19(a9,f8(x4604),x4605,a49,a49),x4602)
% 1.87/2.15 [375]~P18(f25(f25(x3751,x3755),x3754))+~P18(f25(f25(f26(x3751,x3752),x3753),x3755))+P18(f25(f25(f26(x3751,x3752),x3753),x3754))
% 1.87/2.15 [376]~P18(f25(f25(x3761,x3763),x3765))+~P18(f25(f25(f26(x3761,x3762),x3765),x3764))+P18(f25(f25(f26(x3761,x3762),x3763),x3764))
% 1.87/2.15 [384]~P18(f25(f25(f26(x3841,x3842),x3843),x3845))+P18(f25(f25(f26(x3841,x3842),x3843),x3844))+~P18(f25(f25(f26(x3841,x3842),x3845),x3844))
% 1.87/2.15 [359]~P10(x3591)+E(f25(f25(f7(x3591),x3592),x3593),x3594)+~E(f25(f25(f7(x3591),x3592),f25(f25(f7(x3591),x3595),x3593)),f25(f25(f7(x3591),x3595),x3594))
% 1.87/2.15 [382]E(x3821,x3822)+E(x3823,x3824)+~P5(x3825,f17(x3824,x3822,x3826),f17(x3823,x3821,x3826),x3826)
% 1.87/2.15 [396]E(x3961,x3962)+P5(x3963,x3961,x3962,x3964)+~P5(x3963,f17(x3965,x3961,x3964),f17(x3966,x3962,x3964),x3964)
% 1.87/2.15 [402]~P3(x4021,x4023,x4026)+P3(x4021,f14(x4022,x4023,x4024),x4025)+~P3(f34(x4021,x4024,x4026,a50),x4022,x4025)
% 1.87/2.15 [385]E(x3851,x3852)+~P5(x3853,f17(x3852,x3854,x3855),f17(x3851,x3856,x3855),x3855)+P18(f25(f25(x3853,x3852),x3851))
% 1.87/2.15 [398]P5(x3981,x3982,x3983,x3984)+~P5(x3981,f17(x3985,x3982,x3984),f17(x3986,x3983,x3984),x3984)+P18(f25(f25(x3981,x3985),x3986))
% 1.87/2.15 [411]E(x4111,x4112)+E(x4113,x4114)+~P5(x4115,f13(x4113,f17(x4111,f3(x4116),x4116),x4116),f13(x4114,f17(x4112,f3(x4116),x4116),x4116),x4116)
% 1.87/2.15 [412]E(x4121,x4122)+~P5(x4123,f13(x4124,f17(x4121,f3(x4125),x4125),x4125),f13(x4126,f17(x4122,f3(x4125),x4125),x4125),x4125)+P18(f25(f25(x4123,x4121),x4122))
% 1.87/2.15 [415]E(x4151,x4152)+P5(x4153,x4151,x4152,x4154)+~P5(x4153,f13(x4151,f17(x4155,f3(x4154),x4154),x4154),f13(x4152,f17(x4156,f3(x4154),x4154),x4154),x4154)
% 1.87/2.15 [416]P5(x4161,x4162,x4163,x4164)+~P5(x4161,f13(x4162,f17(x4165,f3(x4164),x4164),x4164),f13(x4163,f17(x4166,f3(x4164),x4164),x4164),x4164)+P18(f25(f25(x4161,x4165),x4166))
% 1.87/2.15 [285]~P1(x2853)+~P2(x2853)+E(x2851,x2852)+~E(f11(x2851,x2853),f11(x2852,x2853))
% 1.87/2.15 [310]~P2(x3102)+~P15(x3102)+E(x3101,f6(x3102))+~E(f25(f25(f7(x3102),x3103),x3101),x3103)
% 1.87/2.15 [336]~P2(x3363)+~P15(x3363)+E(x3361,x3362)+~E(f25(f25(f7(x3363),x3364),x3361),f25(f25(f7(x3363),x3364),x3362))
% 1.87/2.15 [467]~P6(x4671,x4675,x4676)+P6(x4671,x4672,f43(x4673,x4674,x4671,x4672))+~P3(x4671,f19(a9,f8(x4677),x4675,a49,a49),x4674)+~P3(x4671,f19(a9,f19(a9,f8(x4677),x4675,a49,a49),x4672,a49,a49),x4673)
% 1.87/2.15 [469]~P6(x4693,x4695,x4696)+~P3(x4693,f19(a9,f8(x4697),x4695,a49,a49),x4692)+~P3(x4693,f19(a9,f19(a9,f8(x4697),x4695,a49,a49),x4694,a49,a49),x4691)+E(f20(a45,f43(x4691,x4692,x4693,x4694),x4691,a50,a50),x4692)
% 1.87/2.15 [408]~P3(x4086,x4082,x4085)+~P3(f34(x4086,x4083,x4085,a50),x4081,x4087)+~P18(f25(a5,x4082))+~P18(f25(a5,x4081))+~E(f25(f25(a45,x4084),x4085),a52)+P18(f25(a5,f14(x4081,x4082,x4083)))
% 1.87/2.15 [409]~P3(x4096,x4092,x4094)+~P3(f34(x4096,x4093,x4094,a50),x4091,x4097)+~P18(f25(a5,x4092))+~P18(f25(a5,x4091))+~E(f25(f25(a45,x4094),x4095),a52)+P18(f25(a5,f14(x4091,x4092,x4093)))
% 1.87/2.15 %EqnAxiom
% 1.87/2.15 [1]E(x11,x11)
% 1.87/2.15 [2]E(x22,x21)+~E(x21,x22)
% 1.87/2.15 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.87/2.15 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 1.87/2.15 [5]~E(x51,x52)+E(f21(x51,x53),f21(x52,x53))
% 1.87/2.15 [6]~E(x61,x62)+E(f21(x63,x61),f21(x63,x62))
% 1.87/2.15 [7]~E(x71,x72)+E(f19(x71,x73,x74,x75,x76),f19(x72,x73,x74,x75,x76))
% 1.87/2.15 [8]~E(x81,x82)+E(f19(x83,x81,x84,x85,x86),f19(x83,x82,x84,x85,x86))
% 1.87/2.15 [9]~E(x91,x92)+E(f19(x93,x94,x91,x95,x96),f19(x93,x94,x92,x95,x96))
% 1.87/2.15 [10]~E(x101,x102)+E(f19(x103,x104,x105,x101,x106),f19(x103,x104,x105,x102,x106))
% 1.87/2.15 [11]~E(x111,x112)+E(f19(x113,x114,x115,x116,x111),f19(x113,x114,x115,x116,x112))
% 1.87/2.15 [12]~E(x121,x122)+E(f8(x121),f8(x122))
% 1.87/2.15 [13]~E(x131,x132)+E(f25(x131,x133),f25(x132,x133))
% 1.87/2.15 [14]~E(x141,x142)+E(f25(x143,x141),f25(x143,x142))
% 1.87/2.15 [15]~E(x151,x152)+E(f13(x151,x153,x154),f13(x152,x153,x154))
% 1.87/2.15 [16]~E(x161,x162)+E(f13(x163,x161,x164),f13(x163,x162,x164))
% 1.87/2.15 [17]~E(x171,x172)+E(f13(x173,x174,x171),f13(x173,x174,x172))
% 1.87/2.15 [18]~E(x181,x182)+E(f7(x181),f7(x182))
% 1.87/2.15 [19]~E(x191,x192)+E(f24(x191,x193),f24(x192,x193))
% 1.87/2.15 [20]~E(x201,x202)+E(f24(x203,x201),f24(x203,x202))
% 1.87/2.15 [21]~E(x211,x212)+E(f23(x211,x213),f23(x212,x213))
% 1.87/2.15 [22]~E(x221,x222)+E(f23(x223,x221),f23(x223,x222))
% 1.87/2.15 [23]~E(x231,x232)+E(f20(x231,x233,x234,x235,x236),f20(x232,x233,x234,x235,x236))
% 1.87/2.15 [24]~E(x241,x242)+E(f20(x243,x241,x244,x245,x246),f20(x243,x242,x244,x245,x246))
% 1.87/2.15 [25]~E(x251,x252)+E(f20(x253,x254,x251,x255,x256),f20(x253,x254,x252,x255,x256))
% 1.87/2.15 [26]~E(x261,x262)+E(f20(x263,x264,x265,x261,x266),f20(x263,x264,x265,x262,x266))
% 1.87/2.15 [27]~E(x271,x272)+E(f20(x273,x274,x275,x276,x271),f20(x273,x274,x275,x276,x272))
% 1.87/2.15 [28]~E(x281,x282)+E(f4(x281,x283),f4(x282,x283))
% 1.87/2.15 [29]~E(x291,x292)+E(f4(x293,x291),f4(x293,x292))
% 1.87/2.15 [30]~E(x301,x302)+E(f43(x301,x303,x304,x305),f43(x302,x303,x304,x305))
% 1.87/2.15 [31]~E(x311,x312)+E(f43(x313,x311,x314,x315),f43(x313,x312,x314,x315))
% 2.06/2.15 [32]~E(x321,x322)+E(f43(x323,x324,x321,x325),f43(x323,x324,x322,x325))
% 2.06/2.15 [33]~E(x331,x332)+E(f43(x333,x334,x335,x331),f43(x333,x334,x335,x332))
% 2.06/2.15 [34]~E(x341,x342)+E(f44(x341,x343,x344,x345),f44(x342,x343,x344,x345))
% 2.06/2.15 [35]~E(x351,x352)+E(f44(x353,x351,x354,x355),f44(x353,x352,x354,x355))
% 2.06/2.15 [36]~E(x361,x362)+E(f44(x363,x364,x361,x365),f44(x363,x364,x362,x365))
% 2.06/2.15 [37]~E(x371,x372)+E(f44(x373,x374,x375,x371),f44(x373,x374,x375,x372))
% 2.06/2.15 [38]~E(x381,x382)+E(f17(x381,x383,x384),f17(x382,x383,x384))
% 2.06/2.15 [39]~E(x391,x392)+E(f17(x393,x391,x394),f17(x393,x392,x394))
% 2.06/2.15 [40]~E(x401,x402)+E(f17(x403,x404,x401),f17(x403,x404,x402))
% 2.06/2.15 [41]~E(x411,x412)+E(f29(x411,x413,x414,x415,x416),f29(x412,x413,x414,x415,x416))
% 2.06/2.15 [42]~E(x421,x422)+E(f29(x423,x421,x424,x425,x426),f29(x423,x422,x424,x425,x426))
% 2.06/2.15 [43]~E(x431,x432)+E(f29(x433,x434,x431,x435,x436),f29(x433,x434,x432,x435,x436))
% 2.06/2.15 [44]~E(x441,x442)+E(f29(x443,x444,x445,x441,x446),f29(x443,x444,x445,x442,x446))
% 2.06/2.15 [45]~E(x451,x452)+E(f29(x453,x454,x455,x456,x451),f29(x453,x454,x455,x456,x452))
% 2.06/2.15 [46]~E(x461,x462)+E(f6(x461),f6(x462))
% 2.06/2.15 [47]~E(x471,x472)+E(f12(x471),f12(x472))
% 2.06/2.15 [48]~E(x481,x482)+E(f14(x481,x483,x484),f14(x482,x483,x484))
% 2.06/2.15 [49]~E(x491,x492)+E(f14(x493,x491,x494),f14(x493,x492,x494))
% 2.06/2.15 [50]~E(x501,x502)+E(f14(x503,x504,x501),f14(x503,x504,x502))
% 2.06/2.15 [51]~E(x511,x512)+E(f30(x511,x513,x514),f30(x512,x513,x514))
% 2.06/2.15 [52]~E(x521,x522)+E(f30(x523,x521,x524),f30(x523,x522,x524))
% 2.06/2.15 [53]~E(x531,x532)+E(f30(x533,x534,x531),f30(x533,x534,x532))
% 2.06/2.15 [54]~E(x541,x542)+E(f15(x541,x543,x544,x545),f15(x542,x543,x544,x545))
% 2.06/2.15 [55]~E(x551,x552)+E(f15(x553,x551,x554,x555),f15(x553,x552,x554,x555))
% 2.06/2.15 [56]~E(x561,x562)+E(f15(x563,x564,x561,x565),f15(x563,x564,x562,x565))
% 2.06/2.15 [57]~E(x571,x572)+E(f15(x573,x574,x575,x571),f15(x573,x574,x575,x572))
% 2.06/2.15 [58]~E(x581,x582)+E(f22(x581,x583,x584),f22(x582,x583,x584))
% 2.06/2.15 [59]~E(x591,x592)+E(f22(x593,x591,x594),f22(x593,x592,x594))
% 2.06/2.15 [60]~E(x601,x602)+E(f22(x603,x604,x601),f22(x603,x604,x602))
% 2.06/2.15 [61]~E(x611,x612)+E(f42(x611,x613,x614,x615),f42(x612,x613,x614,x615))
% 2.06/2.15 [62]~E(x621,x622)+E(f42(x623,x621,x624,x625),f42(x623,x622,x624,x625))
% 2.06/2.15 [63]~E(x631,x632)+E(f42(x633,x634,x631,x635),f42(x633,x634,x632,x635))
% 2.06/2.15 [64]~E(x641,x642)+E(f42(x643,x644,x645,x641),f42(x643,x644,x645,x642))
% 2.06/2.15 [65]~E(x651,x652)+E(f31(x651,x653,x654,x655,x656),f31(x652,x653,x654,x655,x656))
% 2.06/2.15 [66]~E(x661,x662)+E(f31(x663,x661,x664,x665,x666),f31(x663,x662,x664,x665,x666))
% 2.06/2.15 [67]~E(x671,x672)+E(f31(x673,x674,x671,x675,x676),f31(x673,x674,x672,x675,x676))
% 2.06/2.15 [68]~E(x681,x682)+E(f31(x683,x684,x685,x681,x686),f31(x683,x684,x685,x682,x686))
% 2.06/2.15 [69]~E(x691,x692)+E(f31(x693,x694,x695,x696,x691),f31(x693,x694,x695,x696,x692))
% 2.06/2.15 [70]~E(x701,x702)+E(f26(x701,x703),f26(x702,x703))
% 2.06/2.15 [71]~E(x711,x712)+E(f26(x713,x711),f26(x713,x712))
% 2.06/2.15 [72]~E(x721,x722)+E(f33(x721),f33(x722))
% 2.06/2.15 [73]~E(x731,x732)+E(f27(x731,x733,x734),f27(x732,x733,x734))
% 2.06/2.15 [74]~E(x741,x742)+E(f27(x743,x741,x744),f27(x743,x742,x744))
% 2.06/2.15 [75]~E(x751,x752)+E(f27(x753,x754,x751),f27(x753,x754,x752))
% 2.06/2.15 [76]~E(x761,x762)+E(f28(x761,x763,x764,x765,x766),f28(x762,x763,x764,x765,x766))
% 2.06/2.15 [77]~E(x771,x772)+E(f28(x773,x771,x774,x775,x776),f28(x773,x772,x774,x775,x776))
% 2.06/2.15 [78]~E(x781,x782)+E(f28(x783,x784,x781,x785,x786),f28(x783,x784,x782,x785,x786))
% 2.06/2.15 [79]~E(x791,x792)+E(f28(x793,x794,x795,x791,x796),f28(x793,x794,x795,x792,x796))
% 2.06/2.15 [80]~E(x801,x802)+E(f28(x803,x804,x805,x806,x801),f28(x803,x804,x805,x806,x802))
% 2.06/2.15 [81]~E(x811,x812)+E(f18(x811,x813),f18(x812,x813))
% 2.06/2.15 [82]~E(x821,x822)+E(f18(x823,x821),f18(x823,x822))
% 2.06/2.15 [83]~E(x831,x832)+E(f37(x831,x833,x834,x835),f37(x832,x833,x834,x835))
% 2.06/2.15 [84]~E(x841,x842)+E(f37(x843,x841,x844,x845),f37(x843,x842,x844,x845))
% 2.06/2.15 [85]~E(x851,x852)+E(f37(x853,x854,x851,x855),f37(x853,x854,x852,x855))
% 2.06/2.15 [86]~E(x861,x862)+E(f37(x863,x864,x865,x861),f37(x863,x864,x865,x862))
% 2.06/2.15 [87]~E(x871,x872)+E(f34(x871,x873,x874,x875),f34(x872,x873,x874,x875))
% 2.06/2.15 [88]~E(x881,x882)+E(f34(x883,x881,x884,x885),f34(x883,x882,x884,x885))
% 2.06/2.15 [89]~E(x891,x892)+E(f34(x893,x894,x891,x895),f34(x893,x894,x892,x895))
% 2.06/2.15 [90]~E(x901,x902)+E(f34(x903,x904,x905,x901),f34(x903,x904,x905,x902))
% 2.06/2.15 [91]~E(x911,x912)+E(f38(x911,x913,x914),f38(x912,x913,x914))
% 2.06/2.15 [92]~E(x921,x922)+E(f38(x923,x921,x924),f38(x923,x922,x924))
% 2.06/2.15 [93]~E(x931,x932)+E(f38(x933,x934,x931),f38(x933,x934,x932))
% 2.06/2.15 [94]~E(x941,x942)+E(f11(x941,x943),f11(x942,x943))
% 2.06/2.15 [95]~E(x951,x952)+E(f11(x953,x951),f11(x953,x952))
% 2.06/2.15 [96]~E(x961,x962)+E(f46(x961,x963,x964,x965),f46(x962,x963,x964,x965))
% 2.06/2.15 [97]~E(x971,x972)+E(f46(x973,x971,x974,x975),f46(x973,x972,x974,x975))
% 2.06/2.15 [98]~E(x981,x982)+E(f46(x983,x984,x981,x985),f46(x983,x984,x982,x985))
% 2.06/2.15 [99]~E(x991,x992)+E(f46(x993,x994,x995,x991),f46(x993,x994,x995,x992))
% 2.06/2.15 [100]~E(x1001,x1002)+E(f32(x1001),f32(x1002))
% 2.06/2.15 [101]~E(x1011,x1012)+E(f41(x1011,x1013,x1014),f41(x1012,x1013,x1014))
% 2.06/2.15 [102]~E(x1021,x1022)+E(f41(x1023,x1021,x1024),f41(x1023,x1022,x1024))
% 2.06/2.15 [103]~E(x1031,x1032)+E(f41(x1033,x1034,x1031),f41(x1033,x1034,x1032))
% 2.06/2.15 [104]~E(x1041,x1042)+E(f16(x1041,x1043,x1044),f16(x1042,x1043,x1044))
% 2.06/2.15 [105]~E(x1051,x1052)+E(f16(x1053,x1051,x1054),f16(x1053,x1052,x1054))
% 2.06/2.15 [106]~E(x1061,x1062)+E(f16(x1063,x1064,x1061),f16(x1063,x1064,x1062))
% 2.06/2.15 [107]~E(x1071,x1072)+E(f36(x1071,x1073,x1074,x1075),f36(x1072,x1073,x1074,x1075))
% 2.06/2.15 [108]~E(x1081,x1082)+E(f36(x1083,x1081,x1084,x1085),f36(x1083,x1082,x1084,x1085))
% 2.06/2.15 [109]~E(x1091,x1092)+E(f36(x1093,x1094,x1091,x1095),f36(x1093,x1094,x1092,x1095))
% 2.06/2.15 [110]~E(x1101,x1102)+E(f36(x1103,x1104,x1105,x1101),f36(x1103,x1104,x1105,x1102))
% 2.06/2.15 [111]~E(x1111,x1112)+E(f35(x1111),f35(x1112))
% 2.06/2.15 [112]~E(x1121,x1122)+E(f39(x1121,x1123,x1124,x1125),f39(x1122,x1123,x1124,x1125))
% 2.06/2.15 [113]~E(x1131,x1132)+E(f39(x1133,x1131,x1134,x1135),f39(x1133,x1132,x1134,x1135))
% 2.06/2.15 [114]~E(x1141,x1142)+E(f39(x1143,x1144,x1141,x1145),f39(x1143,x1144,x1142,x1145))
% 2.06/2.15 [115]~E(x1151,x1152)+E(f39(x1153,x1154,x1155,x1151),f39(x1153,x1154,x1155,x1152))
% 2.06/2.15 [116]~E(x1161,x1162)+E(f40(x1161,x1163,x1164,x1165),f40(x1162,x1163,x1164,x1165))
% 2.06/2.15 [117]~E(x1171,x1172)+E(f40(x1173,x1171,x1174,x1175),f40(x1173,x1172,x1174,x1175))
% 2.06/2.15 [118]~E(x1181,x1182)+E(f40(x1183,x1184,x1181,x1185),f40(x1183,x1184,x1182,x1185))
% 2.06/2.15 [119]~E(x1191,x1192)+E(f40(x1193,x1194,x1195,x1191),f40(x1193,x1194,x1195,x1192))
% 2.06/2.15 [120]~P1(x1201)+P1(x1202)+~E(x1201,x1202)
% 2.06/2.15 [121]~P2(x1211)+P2(x1212)+~E(x1211,x1212)
% 2.06/2.15 [122]~P8(x1221)+P8(x1222)+~E(x1221,x1222)
% 2.06/2.15 [123]P3(x1232,x1233,x1234)+~E(x1231,x1232)+~P3(x1231,x1233,x1234)
% 2.06/2.15 [124]P3(x1243,x1242,x1244)+~E(x1241,x1242)+~P3(x1243,x1241,x1244)
% 2.06/2.15 [125]P3(x1253,x1254,x1252)+~E(x1251,x1252)+~P3(x1253,x1254,x1251)
% 2.06/2.15 [126]~P13(x1261)+P13(x1262)+~E(x1261,x1262)
% 2.06/2.15 [127]P5(x1272,x1273,x1274,x1275)+~E(x1271,x1272)+~P5(x1271,x1273,x1274,x1275)
% 2.06/2.15 [128]P5(x1283,x1282,x1284,x1285)+~E(x1281,x1282)+~P5(x1283,x1281,x1284,x1285)
% 2.06/2.15 [129]P5(x1293,x1294,x1292,x1295)+~E(x1291,x1292)+~P5(x1293,x1294,x1291,x1295)
% 2.06/2.15 [130]P5(x1303,x1304,x1305,x1302)+~E(x1301,x1302)+~P5(x1303,x1304,x1305,x1301)
% 2.06/2.15 [131]~P9(x1311)+P9(x1312)+~E(x1311,x1312)
% 2.06/2.15 [132]~P18(x1321)+P18(x1322)+~E(x1321,x1322)
% 2.06/2.15 [133]~P14(x1331)+P14(x1332)+~E(x1331,x1332)
% 2.06/2.15 [134]~P15(x1341)+P15(x1342)+~E(x1341,x1342)
% 2.06/2.15 [135]~P16(x1351)+P16(x1352)+~E(x1351,x1352)
% 2.06/2.15 [136]P7(x1362,x1363,x1364)+~E(x1361,x1362)+~P7(x1361,x1363,x1364)
% 2.06/2.15 [137]P7(x1373,x1372,x1374)+~E(x1371,x1372)+~P7(x1373,x1371,x1374)
% 2.06/2.15 [138]P7(x1383,x1384,x1382)+~E(x1381,x1382)+~P7(x1383,x1384,x1381)
% 2.06/2.15 [139]~P17(x1391)+P17(x1392)+~E(x1391,x1392)
% 2.06/2.15 [140]P6(x1402,x1403,x1404)+~E(x1401,x1402)+~P6(x1401,x1403,x1404)
% 2.06/2.15 [141]P6(x1413,x1412,x1414)+~E(x1411,x1412)+~P6(x1413,x1411,x1414)
% 2.06/2.15 [142]P6(x1423,x1424,x1422)+~E(x1421,x1422)+~P6(x1423,x1424,x1421)
% 2.06/2.15 [143]~P10(x1431)+P10(x1432)+~E(x1431,x1432)
% 2.06/2.15 [144]~P11(x1441)+P11(x1442)+~E(x1441,x1442)
% 2.06/2.15 [145]~P12(x1451)+P12(x1452)+~E(x1451,x1452)
% 2.06/2.15 [146]P4(x1462,x1463,x1464)+~E(x1461,x1462)+~P4(x1461,x1463,x1464)
% 2.06/2.15 [147]P4(x1473,x1472,x1474)+~E(x1471,x1472)+~P4(x1473,x1471,x1474)
% 2.06/2.15 [148]P4(x1483,x1484,x1482)+~E(x1481,x1482)+~P4(x1483,x1484,x1481)
% 2.06/2.15
% 2.06/2.15 %-------------------------------------------
% 2.06/2.16 cnf(472,plain,
% 2.06/2.16 (~E(f17(x4721,x4722,x4723),x4722)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(474,plain,
% 2.06/2.16 (P7(f30(a10,a49,a49),a62,a49)),
% 2.06/2.16 inference(scs_inference,[],[149,173,267,2,420,337])).
% 2.06/2.16 cnf(477,plain,
% 2.06/2.16 (~E(f17(x4771,x4772,x4773),x4772)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(480,plain,
% 2.06/2.16 (~E(f17(x4801,x4802,x4803),x4802)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(483,plain,
% 2.06/2.16 (~E(f17(x4831,x4832,x4833),x4832)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(488,plain,
% 2.06/2.16 (~E(f17(x4881,x4882,x4883),x4882)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(490,plain,
% 2.06/2.16 (~E(f13(x4901,f17(x4902,f3(x4903),x4904),x4903),x4901)),
% 2.06/2.16 inference(scs_inference,[],[149,173,267,472,477,480,483,488,263,2,420,337,302,419,418,311,300,299])).
% 2.06/2.16 cnf(491,plain,
% 2.06/2.16 (~E(f17(x4911,x4912,x4913),x4912)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(493,plain,
% 2.06/2.16 (P18(f25(f25(f26(a10,a49),f14(x4931,f25(f25(a9,f12(x4932)),x4933),x4934)),f14(x4931,f14(x4932,x4933,f6(a48)),x4934)))),
% 2.06/2.16 inference(scs_inference,[],[149,173,267,472,477,480,483,488,263,238,2,420,337,302,419,418,311,300,299,394])).
% 2.06/2.16 cnf(498,plain,
% 2.06/2.16 (~E(f17(x4981,x4982,x4983),x4982)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(500,plain,
% 2.06/2.16 (~E(f13(x5001,f17(x5002,f3(x5003),x5004),x5003),f3(x5003))),
% 2.06/2.16 inference(scs_inference,[],[149,173,267,472,477,480,483,488,491,498,263,238,2,420,337,302,419,418,311,300,299,394,369,306,305])).
% 2.06/2.16 cnf(501,plain,
% 2.06/2.16 (~E(f17(x5011,x5012,x5013),x5012)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(504,plain,
% 2.06/2.16 (~E(f17(x5041,x5042,x5043),x5042)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(507,plain,
% 2.06/2.16 (~E(f17(x5071,x5072,x5073),x5072)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(509,plain,
% 2.06/2.16 (P3(x5091,f12(f8(x5092)),f25(f25(a45,x5093),f25(f34(x5091,f6(a48),x5093,a50),x5092)))),
% 2.06/2.16 inference(scs_inference,[],[149,173,267,472,477,480,483,488,491,498,501,504,198,263,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397])).
% 2.06/2.16 cnf(510,plain,
% 2.06/2.16 (P3(x5101,f8(x5102),f25(x5101,x5102))),
% 2.06/2.16 inference(rename_variables,[],[198])).
% 2.06/2.16 cnf(512,plain,
% 2.06/2.16 (P5(f32(x5121),f17(x5122,x5123,x5124),f17(x5122,x5123,x5124),x5124)),
% 2.06/2.16 inference(scs_inference,[],[149,173,267,472,477,480,483,488,491,498,501,504,198,263,199,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374])).
% 2.06/2.16 cnf(516,plain,
% 2.06/2.16 (P6(f34(a59,a1,a52,a50),a64,f37(a54,f34(a59,a1,a52,a50),f8(a60),a64))),
% 2.06/2.16 inference(scs_inference,[],[149,173,251,267,472,477,480,483,488,491,498,501,504,198,263,199,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450])).
% 2.06/2.16 cnf(518,plain,
% 2.06/2.16 (P6(f34(a59,a1,a52,a50),a64,f36(a54,f34(a59,a1,a52,a50),f8(a60),a64))),
% 2.06/2.16 inference(scs_inference,[],[149,173,251,267,472,477,480,483,488,491,498,501,504,198,263,199,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449])).
% 2.06/2.16 cnf(521,plain,
% 2.06/2.16 (P18(f25(f25(f32(x5211),x5212),x5212))),
% 2.06/2.16 inference(rename_variables,[],[199])).
% 2.06/2.16 cnf(529,plain,
% 2.06/2.16 (P18(f25(f25(f32(x5291),x5292),x5292))),
% 2.06/2.16 inference(rename_variables,[],[199])).
% 2.06/2.16 cnf(532,plain,
% 2.06/2.16 (~E(f17(x5321,x5322,x5323),x5322)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(538,plain,
% 2.06/2.16 (~E(f17(x5381,x5382,x5383),x5382)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(542,plain,
% 2.06/2.16 (E(f21(f21(x5421,x5422),x5422),x5421)),
% 2.06/2.16 inference(rename_variables,[],[178])).
% 2.06/2.16 cnf(543,plain,
% 2.06/2.16 (P5(f32(x5431),f17(f44(x5432,x5433,f33(x5434),a47),x5435,a1),f17(f44(x5432,x5433,f33(x5434),a47),x5435,a1),a60)),
% 2.06/2.16 inference(scs_inference,[],[149,173,251,252,184,267,472,477,480,483,488,491,498,501,504,507,532,198,178,263,265,199,521,271,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130])).
% 2.06/2.16 cnf(544,plain,
% 2.06/2.16 (~E(f17(f44(x5441,x5442,f33(x5443),a47),x5444,a1),f3(a60))),
% 2.06/2.16 inference(scs_inference,[],[149,173,251,252,272,184,267,472,477,480,483,488,491,498,501,504,507,532,198,178,263,265,199,521,271,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129])).
% 2.06/2.16 cnf(545,plain,
% 2.06/2.16 (~E(a52,f25(f25(a45,a53),f20(a45,a56,a54,a50,a50)))),
% 2.06/2.16 inference(scs_inference,[],[276,149,182,173,251,252,272,184,267,472,477,480,483,488,491,498,501,504,507,532,198,178,263,265,199,521,271,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125])).
% 2.06/2.16 cnf(548,plain,
% 2.06/2.16 (~E(f17(x5481,x5482,x5483),x5482)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(550,plain,
% 2.06/2.16 (~E(f17(x5501,x5502,x5503),x5502)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(553,plain,
% 2.06/2.16 (~E(f17(x5531,x5532,x5533),x5532)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(558,plain,
% 2.06/2.16 (~P18(f25(f25(a10,f8(x5581)),x5582))),
% 2.06/2.16 inference(rename_variables,[],[271])).
% 2.06/2.16 cnf(561,plain,
% 2.06/2.16 (~P18(f25(f25(a10,f8(x5611)),x5612))),
% 2.06/2.16 inference(rename_variables,[],[271])).
% 2.06/2.16 cnf(562,plain,
% 2.06/2.16 (~E(f17(x5621,x5622,x5623),x5622)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(565,plain,
% 2.06/2.16 (~P5(x5651,f3(x5652),x5653,x5652)),
% 2.06/2.16 inference(rename_variables,[],[273])).
% 2.06/2.16 cnf(568,plain,
% 2.06/2.16 (~P5(x5681,f3(x5682),x5683,x5682)),
% 2.06/2.16 inference(rename_variables,[],[273])).
% 2.06/2.16 cnf(571,plain,
% 2.06/2.16 (~E(f17(x5711,x5712,x5713),x5712)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(574,plain,
% 2.06/2.16 (~E(f17(x5741,x5742,x5743),x5742)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(577,plain,
% 2.06/2.16 (~E(f17(x5771,x5772,x5773),x5772)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(610,plain,
% 2.06/2.16 (E(f34(x6101,a1,x6102,x6103),f34(x6101,a60,x6102,x6103))),
% 2.06/2.16 inference(scs_inference,[],[276,149,182,234,173,251,252,272,273,565,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,198,510,270,178,260,263,265,199,521,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88])).
% 2.06/2.16 cnf(694,plain,
% 2.06/2.16 (E(f3(a1),f3(a60))),
% 2.06/2.16 inference(scs_inference,[],[276,149,182,234,173,251,252,272,273,565,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,198,510,270,178,260,263,265,199,521,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 2.06/2.16 cnf(707,plain,
% 2.06/2.16 (~E(f13(x7071,f17(f17(x7072,x7073,x7074),f3(x7075),x7075),x7075),f13(x7076,f17(x7073,f3(x7075),x7075),x7075))),
% 2.06/2.16 inference(scs_inference,[],[276,149,182,234,173,251,252,272,273,565,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,198,510,270,178,260,263,265,199,521,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372])).
% 2.06/2.16 cnf(717,plain,
% 2.06/2.16 (~E(f17(f17(x7171,x7172,x7173),x7174,x7175),f17(x7172,x7176,x7175))),
% 2.06/2.16 inference(scs_inference,[],[276,149,182,234,173,251,252,272,273,565,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,198,510,270,178,260,263,265,199,521,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327])).
% 2.06/2.16 cnf(723,plain,
% 2.06/2.16 (~P18(f25(f25(f32(x7231),f17(x7232,x7233,x7234)),x7233))),
% 2.06/2.16 inference(scs_inference,[],[276,149,182,234,173,251,252,272,273,565,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,198,510,270,178,260,263,265,199,521,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324])).
% 2.06/2.16 cnf(760,plain,
% 2.06/2.16 (~E(f17(x7601,x7602,x7603),x7602)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(762,plain,
% 2.06/2.16 (~P18(f25(f25(f32(x7621),f17(x7622,f12(x7623),x7624)),f35(f25(f32(x7621),f17(x7622,f12(x7623),x7624)))))),
% 2.06/2.16 inference(scs_inference,[],[276,149,153,155,162,182,234,173,251,252,272,273,565,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,198,510,270,259,178,260,263,265,199,521,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307])).
% 2.06/2.16 cnf(776,plain,
% 2.06/2.16 (P18(f25(f25(a10,f14(f25(f25(a9,f12(x7761)),x7762),x7763,x7764)),f14(f14(x7761,x7762,f6(a48)),x7763,x7764)))),
% 2.06/2.16 inference(scs_inference,[],[276,149,152,153,154,155,162,182,234,173,251,252,272,273,565,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,198,510,270,259,178,260,263,265,199,521,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386])).
% 2.06/2.16 cnf(786,plain,
% 2.06/2.16 (E(f25(f25(f7(a2),f25(f25(f7(a2),x7861),x7862)),x7863),f25(f25(f7(a2),x7861),f25(f25(f7(a2),x7862),x7863)))),
% 2.06/2.16 inference(scs_inference,[],[276,149,152,153,154,155,157,162,182,234,173,251,252,272,273,565,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,198,510,270,259,178,260,263,265,199,521,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386,378,377,371,366,365])).
% 2.06/2.16 cnf(806,plain,
% 2.06/2.16 (~P18(f25(f25(a10,f19(a9,f8(x8061),f3(a49),a49,a49)),x8062))),
% 2.06/2.16 inference(scs_inference,[],[276,149,152,153,154,155,157,162,164,182,234,173,251,252,272,273,565,568,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,198,510,270,259,178,260,263,265,199,521,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386,378,377,371,366,365,357,356,342,338,424,407,406,405,345,466])).
% 2.06/2.16 cnf(816,plain,
% 2.06/2.16 (P18(f25(f25(f26(a10,x8161),f25(f25(a9,f12(x8162)),x8163)),f14(x8162,x8163,f6(a48))))),
% 2.06/2.16 inference(scs_inference,[],[276,149,152,153,154,155,156,157,162,164,182,234,173,251,252,272,273,565,568,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,198,510,270,259,178,260,263,265,199,521,529,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386,378,377,371,366,365,357,356,342,338,424,407,406,405,345,466,428,393,381,380,354])).
% 2.06/2.16 cnf(819,plain,
% 2.06/2.16 (~E(f17(x8191,x8192,x8193),x8192)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(822,plain,
% 2.06/2.16 (~E(f17(x8221,x8222,x8223),x8222)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(833,plain,
% 2.06/2.16 (~E(f17(x8331,x8332,x8333),x8332)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(836,plain,
% 2.06/2.16 (~E(f17(x8361,x8362,x8363),x8362)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(850,plain,
% 2.06/2.16 (E(f13(f4(f17(x8501,f3(x8502),x8503),x8502),f17(f18(f17(x8501,f3(x8502),x8503),x8502),f3(x8502),x8502),x8502),f17(x8501,f3(x8502),x8503))),
% 2.06/2.16 inference(scs_inference,[],[276,149,152,153,154,155,156,157,160,162,164,182,234,173,251,252,272,273,565,568,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,760,819,822,833,836,198,510,270,259,178,260,263,265,199,521,529,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386,378,377,371,366,365,357,356,342,338,424,407,406,405,345,466,428,393,381,380,354,323,322,468,456,455,427,340,339,457,444,442,441,429,395,344])).
% 2.06/2.16 cnf(851,plain,
% 2.06/2.16 (~E(f17(x8511,x8512,x8513),x8512)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(859,plain,
% 2.06/2.16 (~P5(f13(a10,f3(x8591),x8591),f13(x8592,f17(f8(x8593),f3(x8594),x8594),x8594),f13(x8595,f17(f25(f25(a9,x8596),x8597),f3(x8594),x8594),x8594),x8594)),
% 2.06/2.16 inference(scs_inference,[],[276,149,152,153,154,155,156,157,160,162,164,167,182,234,173,251,252,272,273,565,568,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,760,819,822,833,836,198,510,270,259,178,542,188,260,263,265,199,521,529,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386,378,377,371,366,365,357,356,342,338,424,407,406,405,345,466,428,393,381,380,354,323,322,468,456,455,427,340,339,457,444,442,441,429,395,344,410,461,145,128,127])).
% 2.06/2.16 cnf(861,plain,
% 2.06/2.16 (~P3(f34(a59,a1,a52,a50),f19(a9,f8(a60),a64,a49,a49),f17(x8611,a54,x8612))),
% 2.06/2.16 inference(scs_inference,[],[276,149,152,153,154,155,156,157,160,162,164,167,182,234,173,251,252,272,273,565,568,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,760,819,822,833,836,851,198,510,270,259,178,542,188,189,260,263,265,199,521,529,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386,378,377,371,366,365,357,356,342,338,424,407,406,405,345,466,428,393,381,380,354,323,322,468,456,455,427,340,339,457,444,442,441,429,395,344,410,461,145,128,127,124,460])).
% 2.06/2.16 cnf(866,plain,
% 2.06/2.16 (~E(f17(x8661,x8662,x8663),x8662)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(868,plain,
% 2.06/2.16 (~P5(x8681,f17(x8682,x8682,x8683),f17(f17(x8684,x8682,x8685),f17(x8684,x8682,x8685),x8683),x8683)),
% 2.06/2.16 inference(scs_inference,[],[276,149,152,153,154,155,156,157,160,162,164,167,182,235,234,173,251,252,272,273,565,568,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,760,819,822,833,836,851,866,198,510,270,259,178,542,188,189,260,263,265,199,521,529,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386,378,377,371,366,365,357,356,342,338,424,407,406,405,345,466,428,393,381,380,354,323,322,468,456,455,427,340,339,457,444,442,441,429,395,344,410,461,145,128,127,124,460,453,411,382])).
% 2.06/2.16 cnf(870,plain,
% 2.06/2.16 (P3(a58,f25(f25(a9,f12(f8(x8701))),a62),f25(f34(a58,f6(a48),a52,a50),x8701))),
% 2.06/2.16 inference(scs_inference,[],[276,149,152,153,154,155,156,157,160,162,164,167,180,182,235,234,173,251,252,272,273,565,568,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,760,819,822,833,836,851,866,198,510,270,259,178,542,188,189,260,263,265,199,521,529,271,558,561,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386,378,377,371,366,365,357,356,342,338,424,407,406,405,345,466,428,393,381,380,354,323,322,468,456,455,427,340,339,457,444,442,441,429,395,344,410,461,145,128,127,124,460,453,411,382,361])).
% 2.06/2.16 cnf(881,plain,
% 2.06/2.16 (~E(f17(x8811,x8812,x8813),x8812)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(890,plain,
% 2.06/2.16 (~E(f17(x8901,x8902,x8903),x8902)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(893,plain,
% 2.06/2.16 (~E(f17(x8931,x8932,x8933),x8932)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(897,plain,
% 2.06/2.16 (~E(f17(x8971,x8972,x8973),x8972)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(904,plain,
% 2.06/2.16 (~E(f17(x9041,x9042,x9043),x9042)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(907,plain,
% 2.06/2.16 (~E(f17(x9071,x9072,x9073),x9072)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(914,plain,
% 2.06/2.16 (~E(f25(f25(f7(a2),x9141),f17(x9142,f6(a2),x9143)),x9141)),
% 2.06/2.16 inference(scs_inference,[],[276,149,150,151,152,153,154,155,156,157,158,159,160,162,164,166,167,180,182,235,234,173,251,252,272,273,565,568,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,760,819,822,833,836,851,866,881,890,893,897,904,907,198,510,270,259,178,542,188,189,260,263,265,199,521,529,271,558,561,275,230,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386,378,377,371,366,365,357,356,342,338,424,407,406,405,345,466,428,393,381,380,354,323,322,468,456,455,427,340,339,457,444,442,441,429,395,344,410,461,145,128,127,124,460,453,411,382,361,358,332,331,330,396,401,320,319,308,415,440,359,376,433,432,431,285,310])).
% 2.06/2.16 cnf(921,plain,
% 2.06/2.16 (P18(f25(f25(f26(a10,a49),f14(f25(f25(a9,f12(x9211)),x9212),x9213,x9214)),f14(f14(x9211,x9212,f6(a48)),x9213,x9214)))),
% 2.06/2.16 inference(scs_inference,[],[276,149,150,151,152,153,154,155,156,157,158,159,160,162,164,166,167,180,182,235,234,173,251,252,272,273,565,568,184,267,472,477,480,483,488,491,498,501,504,507,532,538,548,550,553,562,571,574,577,760,819,822,833,836,851,866,881,890,893,897,904,907,198,510,270,259,178,542,188,189,260,263,265,199,521,529,271,558,561,275,230,231,238,2,420,337,302,419,418,311,300,299,394,369,306,305,283,282,397,374,451,450,449,414,383,370,426,335,334,350,148,132,130,129,125,123,3,333,309,402,412,385,398,416,434,438,321,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,448,447,446,445,443,373,372,351,343,329,328,327,326,325,324,318,317,316,315,314,312,296,293,291,289,288,284,279,278,277,423,422,421,307,286,280,463,391,390,388,386,378,377,371,366,365,357,356,342,338,424,407,406,405,345,466,428,393,381,380,354,323,322,468,456,455,427,340,339,457,444,442,441,429,395,344,410,461,145,128,127,124,460,453,411,382,361,358,332,331,330,396,401,320,319,308,415,440,359,376,433,432,431,285,310,464,400,399])).
% 2.06/2.16 cnf(947,plain,
% 2.06/2.16 (P4(x9471,f3(x9472),x9472)),
% 2.06/2.16 inference(rename_variables,[],[184])).
% 2.06/2.16 cnf(949,plain,
% 2.06/2.16 (~E(f13(x9491,f17(f17(x9492,x9493,x9494),f3(x9495),x9495),x9495),f17(x9493,f13(x9496,f17(x9493,f3(x9495),x9495),x9495),x9495))),
% 2.06/2.16 inference(scs_inference,[],[184,707,717,452,436])).
% 2.06/2.16 cnf(950,plain,
% 2.06/2.16 (~E(f17(f17(x9501,x9502,x9503),x9504,x9505),f17(x9502,x9506,x9505))),
% 2.06/2.16 inference(rename_variables,[],[717])).
% 2.06/2.16 cnf(951,plain,
% 2.06/2.16 (~E(f13(x9511,f17(f17(x9512,x9513,x9514),f3(x9515),x9515),x9515),f13(x9516,f17(x9513,f3(x9515),x9515),x9515))),
% 2.06/2.16 inference(rename_variables,[],[707])).
% 2.06/2.16 cnf(954,plain,
% 2.06/2.16 (~E(f17(x9541,x9542,x9543),x9542)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(955,plain,
% 2.06/2.16 (~E(f17(x9551,x9552,x9553),f3(x9553))),
% 2.06/2.16 inference(rename_variables,[],[270])).
% 2.06/2.16 cnf(960,plain,
% 2.06/2.16 (P18(f25(f25(f26(a10,x9601),f25(f25(a9,f12(x9602)),x9603)),f14(x9602,x9603,f6(a48))))),
% 2.06/2.16 inference(rename_variables,[],[816])).
% 2.06/2.16 cnf(966,plain,
% 2.06/2.16 (~P18(f25(f25(f32(x9661),f17(x9662,x9663,x9664)),x9663))),
% 2.06/2.16 inference(rename_variables,[],[723])).
% 2.06/2.16 cnf(979,plain,
% 2.06/2.16 (~E(f13(x9791,f17(f17(x9792,x9793,x9794),f3(x9795),x9795),x9795),f13(x9796,f17(x9793,f3(x9795),x9795),x9795))),
% 2.06/2.16 inference(rename_variables,[],[707])).
% 2.06/2.16 cnf(985,plain,
% 2.06/2.16 (E(f13(x9851,f3(x9852),x9852),x9851)),
% 2.06/2.16 inference(rename_variables,[],[188])).
% 2.06/2.16 cnf(986,plain,
% 2.06/2.16 (~E(f17(x9861,x9862,x9863),x9862)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(995,plain,
% 2.06/2.16 (E(f13(x9951,f3(x9952),x9952),x9951)),
% 2.06/2.16 inference(rename_variables,[],[188])).
% 2.06/2.16 cnf(996,plain,
% 2.06/2.16 (~E(f17(x9961,x9962,x9963),x9962)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(1001,plain,
% 2.06/2.16 (~E(f17(x10011,x10012,x10013),x10012)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(1015,plain,
% 2.06/2.16 (~P18(f25(f25(f32(x10151),f17(x10152,x10153,x10154)),x10153))),
% 2.06/2.16 inference(rename_variables,[],[723])).
% 2.06/2.16 cnf(1020,plain,
% 2.06/2.16 (~E(f17(x10201,x10202,x10203),x10202)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(1036,plain,
% 2.06/2.16 (~E(f17(x10361,x10362,x10363),f3(x10363))),
% 2.06/2.16 inference(rename_variables,[],[270])).
% 2.06/2.16 cnf(1040,plain,
% 2.06/2.16 (~E(f17(x10401,x10402,x10403),x10402)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(1041,plain,
% 2.06/2.16 (E(f13(x10411,f3(x10412),x10412),x10411)),
% 2.06/2.16 inference(rename_variables,[],[188])).
% 2.06/2.16 cnf(1044,plain,
% 2.06/2.16 (E(f13(x10441,f3(x10442),x10442),x10441)),
% 2.06/2.16 inference(rename_variables,[],[188])).
% 2.06/2.16 cnf(1045,plain,
% 2.06/2.16 (~E(f17(x10451,x10452,x10453),x10452)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(1047,plain,
% 2.06/2.16 (~E(f25(f7(a2),f25(x10471,f17(x10472,f6(a2),x10473))),x10471)),
% 2.06/2.16 inference(scs_inference,[],[276,168,250,261,262,274,165,190,205,211,150,267,954,986,996,1001,1020,1040,270,955,188,985,995,1041,275,159,272,164,151,184,707,951,979,762,490,717,950,723,966,509,914,786,816,960,859,861,516,870,452,436,435,336,387,360,426,350,332,331,320,319,430,359,432,437,285,431,370,334,2,325,316,300,391,374,414,125,123,460,453,411,382,361,330,415,440,434,433,13])).
% 2.06/2.16 cnf(1098,plain,
% 2.06/2.16 (P5(f32(x10981),f17(x10982,a64,a49),f17(x10982,f17(a51,a57,a49),a49),a49)),
% 2.06/2.16 inference(scs_inference,[],[276,168,179,174,250,261,262,264,274,165,256,190,205,233,240,211,232,150,235,273,267,954,986,996,1001,1020,1040,1045,198,270,955,1036,188,985,995,1041,1044,275,159,272,209,164,180,271,151,184,947,173,868,512,707,951,979,762,490,717,950,723,966,1015,921,493,509,914,786,816,960,859,861,776,806,610,516,870,694,452,436,435,336,387,360,426,350,332,331,320,319,430,359,432,437,285,431,370,334,2,325,316,300,391,374,414,125,123,460,453,411,382,361,330,415,440,434,433,13,311,129,396,376,358,147,140,132,130,3,124,128,144,318,402,412,416,375,385,438,398,409,408,389])).
% 2.06/2.16 cnf(1113,plain,
% 2.06/2.16 (~E(f13(x11131,f17(f17(x11132,x11133,x11134),f3(x11135),x11135),x11135),f17(x11133,f13(x11136,f17(x11133,f3(x11135),x11135),x11135),x11135))),
% 2.06/2.16 inference(rename_variables,[],[949])).
% 2.06/2.16 cnf(1114,plain,
% 2.06/2.16 (~E(f17(f17(x11141,x11142,x11143),x11144,x11145),f17(x11142,x11146,x11145))),
% 2.06/2.16 inference(rename_variables,[],[717])).
% 2.06/2.16 cnf(1118,plain,
% 2.06/2.16 (~E(f17(x11181,x11182,x11183),x11182)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(1131,plain,
% 2.06/2.16 (P18(f25(f25(f26(x11311,x11312),x11313),x11313))),
% 2.06/2.16 inference(rename_variables,[],[209])).
% 2.06/2.16 cnf(1137,plain,
% 2.06/2.16 (~E(f17(x11371,x11372,x11373),x11372)),
% 2.06/2.16 inference(rename_variables,[],[267])).
% 2.06/2.16 cnf(1158,plain,
% 2.06/2.16 (P18(f25(f25(f26(x11581,x11582),x11583),x11583))),
% 2.06/2.16 inference(rename_variables,[],[209])).
% 2.06/2.16 cnf(1171,plain,
% 2.06/2.16 ($false),
% 2.06/2.16 inference(scs_inference,[],[248,224,259,264,150,267,1118,1137,198,270,159,209,1131,1158,184,151,949,1113,500,1047,544,1098,518,545,850,543,717,1114,861,474,436,435,336,148,437,327,426,285,432,318,391,138,350,316,431,123,311,414,453,325,300,374,129,2]),
% 2.06/2.16 ['proof']).
% 2.06/2.16 % SZS output end Proof
% 2.06/2.16 % Total time :1.400000s
%------------------------------------------------------------------------------