TSTP Solution File: LCL764-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL764-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n022.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 06:50:47 EDT 2023
% Result : Unsatisfiable 0.19s 0.78s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL764-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 22:58:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.74 %-------------------------------------------
% 0.19/0.74 % File :CSE---1.6
% 0.19/0.74 % Problem :theBenchmark
% 0.19/0.74 % Transform :cnf
% 0.19/0.74 % Format :tptp:raw
% 0.19/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.74
% 0.19/0.74 % Result :Theorem 0.040000s
% 0.19/0.74 % Output :CNFRefutation 0.040000s
% 0.19/0.74 %-------------------------------------------
% 0.19/0.75 %------------------------------------------------------------------------------
% 0.19/0.75 % File : LCL764-1 : TPTP v8.1.2. Released v4.1.0.
% 0.19/0.75 % Domain : Logic Calculi
% 0.19/0.75 % Problem : Strong normalization of typed lambda calculus 068_3
% 0.19/0.75 % Version : Especial.
% 0.19/0.75 % English :
% 0.19/0.75
% 0.19/0.75 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.19/0.75 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.19/0.75 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.19/0.75 % Source : [Nip10]
% 0.19/0.75 % Names : StrongNorm-068_3 [Nip10]
% 0.19/0.75
% 0.19/0.75 % Status : Unsatisfiable
% 0.19/0.75 % Rating : 0.05 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.05 v5.3.0, 0.06 v5.2.0, 0.00 v5.1.0, 0.06 v5.0.0, 0.07 v4.1.0
% 0.19/0.75 % Syntax : Number of clauses : 329 ( 124 unt; 53 nHn; 126 RR)
% 0.19/0.75 % Number of literals : 632 ( 216 equ; 264 neg)
% 0.19/0.75 % Maximal clause size : 4 ( 1 avg)
% 0.19/0.75 % Maximal term depth : 5 ( 1 avg)
% 0.19/0.75 % Number of predicates : 15 ( 14 usr; 0 prp; 1-5 aty)
% 0.19/0.75 % Number of functors : 95 ( 95 usr; 6 con; 0-5 aty)
% 0.19/0.75 % Number of variables : 1039 ( 196 sgn)
% 0.19/0.75 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.19/0.75
% 0.19/0.75 % Comments :
% 0.19/0.75 %------------------------------------------------------------------------------
% 0.19/0.75 cnf(cls_drop__Suc_0,axiom,
% 0.19/0.75 c_List_Odrop(c_Suc(V_n),V_xs,T_a) = c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_take__tl_0,axiom,
% 0.19/0.75 c_List_Otake(V_n,c_List_Otl(V_xs,T_a),T_a) = c_List_Otl(c_List_Otake(c_Suc(V_n),V_xs,T_a),T_a) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_list__update__code_I3_J_0,axiom,
% 0.19/0.75 c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_i),V_y,T_a) = c_List_Olist_OCons(V_x,c_List_Olist__update(V_xs,V_i,V_y,T_a),T_a) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_drop__Suc__Cons_0,axiom,
% 0.19/0.75 c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_take__Suc__Cons_0,axiom,
% 0.19/0.75 c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_n__not__Suc__n_0,axiom,
% 0.19/0.75 V_n != c_Suc(V_n) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_Suc__n__not__n_0,axiom,
% 0.19/0.75 c_Suc(V_n) != V_n ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_nat_Oinject_0,axiom,
% 0.19/0.75 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.19/0.75 | V_nat = V_nat_H ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_Suc__inject_0,axiom,
% 0.19/0.75 ( c_Suc(V_x) != c_Suc(V_y)
% 0.19/0.75 | V_x = V_y ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_rotate__Suc_0,axiom,
% 0.19/0.75 c_List_Orotate(c_Suc(V_n),V_xs,T_a) = c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_drop_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xdrop__Xinduct__1(V_P),v_sko__List__Xdrop__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_rev_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xrev__Xinduct__1(V_P),v_sko__List__Xrev__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_foldl_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xfoldl__Xinduct__1(V_P),v_sko__List__Xfoldl__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_concat_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(V_P),v_sko__List__Xconcat__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_hd_Osimps_0,axiom,
% 0.19/0.75 c_List_Ohd(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_x ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_hd__append_1,axiom,
% 0.19/0.75 ( c_List_Ohd(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Ohd(V_xs,T_a)
% 0.19/0.75 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_hd__append_0,axiom,
% 0.19/0.75 c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a),T_a) = c_List_Ohd(V_ys,T_a) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_take__Suc_0,axiom,
% 0.19/0.75 ( c_List_Otake(c_Suc(V_n),V_xs,T_a) = c_List_Olist_OCons(c_List_Ohd(V_xs,T_a),c_List_Otake(V_n,c_List_Otl(V_xs,T_a),T_a),T_a)
% 0.19/0.75 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_hd__dropWhile_0,axiom,
% 0.19/0.75 ( ~ hBOOL(hAPP(V_P,c_List_Ohd(c_List_OdropWhile(V_P,V_xs,T_a),T_a)))
% 0.19/0.75 | c_List_OdropWhile(V_P,V_xs,T_a) = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_hd_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xhd__Xinduct__1(V_P),v_sko__List__Xhd__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_take_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(V_P),v_sko__List__Xtake__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_set_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xset__Xinduct__1(V_P),v_sko__List__Xset__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_map_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(V_P),v_sko__List__Xmap__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_list_Oinducts_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlist__Xinducts__1(V_P),v_sko__List__Xlist__Xinducts__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_list_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(V_P),v_sko__List__Xlist__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_list__update_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(V_P),v_sko__List__Xlist__update__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_remdups_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xremdups__Xinduct__1(V_P),v_sko__List__Xremdups__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_removeAll_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(V_P),v_sko__List__XremoveAll__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_takeWhile_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(V_P),v_sko__List__XtakeWhile__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_dropWhile_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(V_P),v_sko__List__XdropWhile__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zip_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(V_P),v_sko__List__Xzip__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_listset_Oinduct_1,axiom,
% 0.19/0.75 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(V_P),v_sko__List__Xlistset__Xinduct__2(V_P),t_a)))
% 0.19/0.75 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_remove1_Oinduct_1,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(V_P),v_sko__List__Xremove1__Xinduct__2(V_P),t_a)))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_splice_Oinduct_1,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xsplice__Xinduct__1(V_P),v_sko__List__Xsplice__Xinduct__2(V_P),t_a)))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_distinct_Oinduct_1,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(V_P),v_sko__List__Xdistinct__Xinduct__2(V_P),t_a)))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_listsum_Oinduct_1,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(V_P),v_sko__List__Xlistsum__Xinduct__2(V_P),t_a)))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_last_Oinduct_1,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(V_P),v_sko__List__Xlast__Xinduct__2(V_P),t_a)))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_tl_Oinduct_1,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xtl__Xinduct__1(V_P),v_sko__List__Xtl__Xinduct__2(V_P),t_a)))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_splice_Osimps_I2_J_1,axiom,
% 0.19/0.76 ( c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Olist_OCons(c_List_Ohd(V_ys,T_a),c_List_Osplice(V_xs,c_List_Otl(V_ys,T_a),T_a),T_a),T_a)
% 0.19/0.76 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_rev__induct_1,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_P,V_xs))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Oappend(c_List_Osko__List__Xrev__induct__1__2(V_P,T_a),c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(V_P,T_a),c_List_Olist_ONil(T_a),T_a),T_a)))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(T_a))) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_rotate1__hd__tl_0,axiom,
% 0.19/0.76 ( c_List_Orotate1(V_xs,T_a) = c_List_Oappend(c_List_Otl(V_xs,T_a),c_List_Olist_OCons(c_List_Ohd(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a)
% 0.19/0.76 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sorted__sort__key_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_List_Olinorder__class_Osorted(c_List_Omap(V_f,c_List_Olinorder__class_Osort__key(V_f,V_xs,T_b,T_a),T_b,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_drop__tl_0,axiom,
% 0.19/0.76 c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) = c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_append__step1I_1,axiom,
% 0.19/0.76 ( 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)
% 0.19/0.76 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_append__step1I_0,axiom,
% 0.19/0.76 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.19/0.76 | 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_singleton__rev__conv_0,axiom,
% 0.19/0.76 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 0.19/0.76 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_filter_Osimps_I2_J_0,axiom,
% 0.19/0.76 ( c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a)
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sorted__drop_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_List_Olinorder__class_Osorted(c_List_Odrop(V_n,V_xs,T_a),T_a)
% 0.19/0.76 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_take__map_0,axiom,
% 0.19/0.76 c_List_Otake(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Otake(V_n,V_xs,T_b),T_b,T_a) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_remdups__filter_0,axiom,
% 0.19/0.76 c_List_Oremdups(c_List_Ofilter(V_P,V_xs,T_a),T_a) = c_List_Ofilter(V_P,c_List_Oremdups(V_xs,T_a),T_a) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_list__all2__takeI_0,axiom,
% 0.19/0.76 ( c_List_Olist__all2(V_P,c_List_Otake(V_n,V_xs,T_a),c_List_Otake(V_n,V_ys,T_b),T_a,T_b)
% 0.19/0.76 | ~ c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Cons__eq__filterD_2,axiom,
% 0.19/0.76 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Ofilter(V_P,V_ys,T_a)
% 0.19/0.76 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_list__all2__eq_1,axiom,
% 0.19/0.76 ( V_xs = V_ys
% 0.19/0.76 | ~ c_List_Olist__all2(c_fequal(T_a),V_xs,V_ys,T_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_foldl__Cons_0,axiom,
% 0.19/0.76 c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 0.19/0.76 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.19/0.76 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_tl__drop_0,axiom,
% 0.19/0.76 c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_rev__singleton__conv_1,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 0.19/0.76 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.19/0.76 | 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Int__commute_0,axiom,
% 0.19/0.76 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inf__commute_0,axiom,
% 0.19/0.76 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.19/0.76 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.19/0.76 ( ~ class_Lattices_Olattice(T_a)
% 0.19/0.76 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sorted_Osimps_I3_J_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
% 0.19/0.76 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_list__all2__appendI_0,axiom,
% 0.19/0.76 ( c_List_Olist__all2(V_P,c_List_Oappend(V_a,V_c,T_a),c_List_Oappend(V_b,V_d,T_b),T_a,T_b)
% 0.19/0.76 | ~ c_List_Olist__all2(V_P,V_c,V_d,T_a,T_b)
% 0.19/0.76 | ~ c_List_Olist__all2(V_P,V_a,V_b,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_append__Cons_0,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_distinct1__rotate_1,axiom,
% 0.19/0.76 ( c_List_Odistinct(c_List_Orotate1(V_xs,T_a),T_a)
% 0.19/0.76 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_distinct1__rotate_0,axiom,
% 0.19/0.76 ( c_List_Odistinct(V_xs,T_a)
% 0.19/0.76 | ~ c_List_Odistinct(c_List_Orotate1(V_xs,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_distinct__filter_0,axiom,
% 0.19/0.76 ( c_List_Odistinct(c_List_Ofilter(V_P,V_xs,T_a),T_a)
% 0.19/0.76 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_map__eq__Cons__conv_3,axiom,
% 0.19/0.76 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Cons__eq__map__conv_3,axiom,
% 0.19/0.76 c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_map_Osimps_I2_J_0,axiom,
% 0.19/0.76 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_list_Osimps_I5_J_0,axiom,
% 0.19/0.76 c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,T_b),T_a,T_b) = hAPP(hAPP(V_f2,V_a),V_list) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_remove1_Osimps_I2_J_0,axiom,
% 0.19/0.76 c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_list__all2__Cons_0,axiom,
% 0.19/0.76 ( hBOOL(hAPP(hAPP(V_P,V_x),V_y))
% 0.19/0.76 | ~ c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Cons__step1__Cons_0,axiom,
% 0.19/0.76 ( V_x = V_y
% 0.19/0.76 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_append__take__drop__id_0,axiom,
% 0.19/0.76 c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a) = V_xs ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sorted__Cons_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 0.19/0.76 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_distinct__drop_0,axiom,
% 0.19/0.76 ( c_List_Odistinct(c_List_Odrop(V_i,V_xs,T_a),T_a)
% 0.19/0.76 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_distinct__rev_1,axiom,
% 0.19/0.76 ( c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a)
% 0.19/0.76 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_distinct__rev_0,axiom,
% 0.19/0.76 ( c_List_Odistinct(V_xs,T_a)
% 0.19/0.76 | ~ c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_list__all_Osimps_I2_J_1,axiom,
% 0.19/0.76 ( c_List_Olist__all(V_P,V_xs,T_a)
% 0.19/0.76 | ~ c_List_Olist__all(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_remdups__id__iff__distinct_0,axiom,
% 0.19/0.76 ( c_List_Oremdups(V_xs,T_a) != V_xs
% 0.19/0.76 | c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_distinct__remdups__id_0,axiom,
% 0.19/0.76 ( c_List_Oremdups(V_xs,T_a) = V_xs
% 0.19/0.76 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_listsp_Oinduct_3,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_P,V_x))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(V_A,V_P),v_sko__List__Xlistsp__Xinduct__2(V_A,V_P),t_a)))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.19/0.76 | ~ c_List_Olistsp(V_A,V_x,t_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_list__all_Osimps_I2_J_0,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_P,V_x))
% 0.19/0.76 | ~ c_List_Olist__all(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_listsp_Oinducts_3,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_P,V_x))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(V_A,V_P),v_sko__List__Xlistsp__Xinducts__2(V_A,V_P),t_a)))
% 0.19/0.76 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.19/0.76 | ~ c_List_Olistsp(V_A,V_x,t_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_not__Cons__self2_0,axiom,
% 0.19/0.76 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_not__Cons__self_0,axiom,
% 0.19/0.76 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_rotate__simps_1,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_map__update_0,axiom,
% 0.19/0.76 c_List_Omap(V_f,c_List_Olist__update(V_xs,V_k,V_y,T_b),T_b,T_a) = c_List_Olist__update(c_List_Omap(V_f,V_xs,T_b,T_a),V_k,hAPP(V_f,V_y),T_a) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_singleton__rev__conv_1,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 0.19/0.76 ( V_ys = V_xs
% 0.19/0.76 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inf1E_1,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_B,V_x))
% 0.19/0.76 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inf1E_0,axiom,
% 0.19/0.76 ( hBOOL(hAPP(V_A,V_x))
% 0.19/0.76 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_list__all__append_2,axiom,
% 0.19/0.76 ( c_List_Olist__all(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 0.19/0.76 | ~ c_List_Olist__all(V_P,V_ys,T_a)
% 0.19/0.76 | ~ c_List_Olist__all(V_P,V_xs,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sorted_Osimps_I2_J_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_distinct__take_0,axiom,
% 0.19/0.76 ( c_List_Odistinct(c_List_Otake(V_i,V_xs,T_a),T_a)
% 0.19/0.76 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_rev__append_0,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_foldl__append_0,axiom,
% 0.19/0.76 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) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_distinct_Osimps_I2_J_1,axiom,
% 0.19/0.76 ( c_List_Odistinct(V_xs,T_a)
% 0.19/0.76 | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_filter__append_0,axiom,
% 0.19/0.77 c_List_Ofilter(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Ofilter(V_P,V_xs,T_a),c_List_Ofilter(V_P,V_ys,T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__rev1_1,axiom,
% 0.19/0.77 ( c_List_Olist__all2(V_P,c_List_Orev(V_xs,T_a),V_ys,T_a,T_b)
% 0.19/0.77 | ~ c_List_Olist__all2(V_P,V_xs,c_List_Orev(V_ys,T_b),T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__rev1_0,axiom,
% 0.19/0.77 ( c_List_Olist__all2(V_P,V_xs,c_List_Orev(V_ys,T_b),T_a,T_b)
% 0.19/0.77 | ~ c_List_Olist__all2(V_P,c_List_Orev(V_xs,T_a),V_ys,T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.19/0.77 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_map__is__Nil__conv_0,axiom,
% 0.19/0.77 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a)
% 0.19/0.77 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__Nil_1,axiom,
% 0.19/0.77 c_List_Olist__all2(V_P,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_b),T_a,T_b) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_empty__null_1,axiom,
% 0.19/0.77 ( V_xs = c_List_Olist_ONil(T_a)
% 0.19/0.77 | ~ c_List_Onull(V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Nil__is__rev__conv_1,axiom,
% 0.19/0.77 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_remdups__eq__nil__right__iff_1,axiom,
% 0.19/0.77 c_List_Olist_ONil(T_a) = c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_self__append__conv2_0,axiom,
% 0.19/0.77 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.19/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append__self__conv2_0,axiom,
% 0.19/0.77 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.19/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_self__append__conv_0,axiom,
% 0.19/0.77 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.19/0.77 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append__self__conv_0,axiom,
% 0.19/0.77 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.19/0.77 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_remdups__eq__nil__iff_0,axiom,
% 0.19/0.77 ( c_List_Oremdups(V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.19/0.77 | V_x = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Cons__step1__Cons_2,axiom,
% 0.19/0.77 ( V_x = V_y
% 0.19/0.77 | V_xs = V_ys
% 0.19/0.77 | ~ 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Cons__step1__Cons_4,axiom,
% 0.19/0.77 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rev__map_0,axiom,
% 0.19/0.77 c_List_Orev(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Orev(V_xs,T_b),T_b,T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append__same__eq_0,axiom,
% 0.19/0.77 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.19/0.77 | V_ys = V_zs ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_same__append__eq_0,axiom,
% 0.19/0.77 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.19/0.77 | V_ys = V_zs ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sorted__take_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_List_Olinorder__class_Osorted(c_List_Otake(V_n,V_xs,T_a),T_a)
% 0.19/0.77 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__sort_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_b)
% 0.19/0.77 | c_List_Odistinct(V_xs,T_a)
% 0.19/0.77 | ~ c_List_Odistinct(c_List_Olinorder__class_Osort__key(V_f,V_xs,T_a,T_b),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__sort_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_b)
% 0.19/0.77 | c_List_Odistinct(c_List_Olinorder__class_Osort__key(V_f,V_xs,T_a,T_b),T_a)
% 0.19/0.77 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_filter__eq__ConsD_2,axiom,
% 0.19/0.77 ( c_List_Ofilter(V_P,V_ys,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 0.19/0.77 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__Cons_1,axiom,
% 0.19/0.77 ( c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)
% 0.19/0.77 | ~ c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rotate__map_0,axiom,
% 0.19/0.77 c_List_Orotate(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Orotate(V_n,V_xs,T_b),T_b,T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__append_0,axiom,
% 0.19/0.77 ( c_List_Odistinct(V_xs,T_a)
% 0.19/0.77 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__append_1,axiom,
% 0.19/0.77 ( c_List_Odistinct(V_ys,T_a)
% 0.19/0.77 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rev__swap_0,axiom,
% 0.19/0.77 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rev__swap_1,axiom,
% 0.19/0.77 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rev__rev__ident_0,axiom,
% 0.19/0.77 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__dropWhile_0,axiom,
% 0.19/0.77 ( c_List_Odistinct(c_List_OdropWhile(V_P,V_xs,T_a),T_a)
% 0.19/0.77 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__rev_0,axiom,
% 0.19/0.77 ( c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)
% 0.19/0.77 | ~ c_List_Olist__all2(V_P,c_List_Orev(V_xs,T_a),c_List_Orev(V_ys,T_b),T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__rev_1,axiom,
% 0.19/0.77 ( c_List_Olist__all2(V_P,c_List_Orev(V_xs,T_a),c_List_Orev(V_ys,T_b),T_a,T_b)
% 0.19/0.77 | ~ c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_concat__map_Osimps_I2_J_0,axiom,
% 0.19/0.77 c_List_Oconcat__map(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Oappend(hAPP(V_f,V_x),c_List_Oconcat__map(V_f,V_xs,T_b,T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_foldr__append_0,axiom,
% 0.19/0.77 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) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__ex_Osimps_I2_J_1,axiom,
% 0.19/0.77 ( c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 0.19/0.77 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 0.19/0.77 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.19/0.77 | V_y = V_x
% 0.19/0.77 | ~ 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rev__singleton__conv_0,axiom,
% 0.19/0.77 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 0.19/0.77 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_dropWhile__eq__Cons__conv_1,axiom,
% 0.19/0.77 ( c_List_OdropWhile(V_P,V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.19/0.77 | ~ hBOOL(hAPP(V_P,V_y)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__Cons_2,axiom,
% 0.19/0.77 ( c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b)
% 0.19/0.77 | ~ c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)
% 0.19/0.77 | ~ hBOOL(hAPP(hAPP(V_P,V_x),V_y)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__Cons1_3,axiom,
% 0.19/0.77 ( c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_xa,V_xb,T_b),T_a,T_b)
% 0.19/0.77 | ~ c_List_Olist__all2(V_P,V_xs,V_xb,T_a,T_b)
% 0.19/0.77 | ~ hBOOL(hAPP(hAPP(V_P,V_x),V_xa)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__Cons2_3,axiom,
% 0.19/0.77 ( c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xa,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b)
% 0.19/0.77 | ~ c_List_Olist__all2(V_P,V_xa,V_ys,T_a,T_b)
% 0.19/0.77 | ~ hBOOL(hAPP(hAPP(V_P,V_x),V_y)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__ex_Osimps_I2_J_2,axiom,
% 0.19/0.77 ( c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 0.19/0.77 | ~ c_List_Olist__ex(V_P,V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__ex_Osimps_I2_J_0,axiom,
% 0.19/0.77 ( c_List_Olist__ex(V_P,V_xs,T_a)
% 0.19/0.77 | hBOOL(hAPP(V_P,V_x))
% 0.19/0.77 | ~ c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_listrelp_OCons_0,axiom,
% 0.19/0.77 ( c_List_Olistrelp(V_r,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
% 0.19/0.77 | ~ c_List_Olistrelp(V_r,V_xs,V_ys,T_a)
% 0.19/0.77 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.19/0.77 ( ~ class_Lattices_Olattice(T_a)
% 0.19/0.77 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.19/0.77 ( ~ class_Lattices_Olattice(T_a)
% 0.19/0.77 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_inf__left__commute_0,axiom,
% 0.19/0.77 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.19/0.77 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_inf__assoc_0,axiom,
% 0.19/0.77 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.19/0.77 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Int__assoc_0,axiom,
% 0.19/0.77 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Int__left__commute_0,axiom,
% 0.19/0.77 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.19/0.77 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.19/0.77 | V_dB = V_dB_H ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_remove1_Osimps_I2_J_1,axiom,
% 0.19/0.77 ( c_List_Oremove1(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = c_List_Olist_OCons(V_y,c_List_Oremove1(V_x,V_xs,T_a),T_a)
% 0.19/0.77 | V_x = V_y ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_splice__Cons__Cons_0,axiom,
% 0.19/0.77 c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,c_List_Osplice(V_xs,V_ys,T_a),T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__sublistI_0,axiom,
% 0.19/0.77 ( c_List_Odistinct(c_List_Osublist(V_xs,V_I,T_a),T_a)
% 0.19/0.77 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_List_Omember_Osimps_I2_J_2,axiom,
% 0.19/0.77 ( c_List_Omember(V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
% 0.19/0.77 | ~ c_List_Omember(V_x,V_ys,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_tl__append2_0,axiom,
% 0.19/0.77 ( c_List_Otl(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otl(V_xs,T_a),V_ys,T_a)
% 0.19/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__remove1_0,axiom,
% 0.19/0.77 ( c_List_Odistinct(c_List_Oremove1(V_x,V_xs,T_a),T_a)
% 0.19/0.77 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_dropWhile_Osimps_I2_J_0,axiom,
% 0.19/0.77 ( c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_OdropWhile(V_P,V_xs,T_a)
% 0.19/0.77 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_dropWhile_Osimps_I2_J_1,axiom,
% 0.19/0.77 ( c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a)
% 0.19/0.77 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Cons__step1__Cons_3,axiom,
% 0.19/0.77 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.19/0.77 | V_xs = V_ys
% 0.19/0.77 | ~ 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_tl_Osimps_I2_J_0,axiom,
% 0.19/0.77 c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_splice_Osimps_I2_J_0,axiom,
% 0.19/0.77 c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_map__append_0,axiom,
% 0.19/0.77 c_List_Omap(V_f,c_List_Oappend(V_xs,V_ys,T_b),T_b,T_a) = c_List_Oappend(c_List_Omap(V_f,V_xs,T_b,T_a),c_List_Omap(V_f,V_ys,T_b,T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_List_Omember_Osimps_I2_J_1,axiom,
% 0.19/0.77 c_List_Omember(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_listsp_Ocases_0,axiom,
% 0.19/0.77 ( V_a = c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(V_A,V_a),v_sko__List__Xlistsp__Xcases__2(V_A,V_a),t_a)
% 0.19/0.77 | V_a = c_List_Olist_ONil(t_a)
% 0.19/0.77 | ~ c_List_Olistsp(V_A,V_a,t_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__dropI_0,axiom,
% 0.19/0.77 ( c_List_Olist__all2(V_P,c_List_Odrop(V_n,V_as,T_a),c_List_Odrop(V_n,V_bs,T_b),T_a,T_b)
% 0.19/0.77 | ~ c_List_Olist__all2(V_P,V_as,V_bs,T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_remove1__filter__not_0,axiom,
% 0.19/0.77 ( c_List_Oremove1(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a) = c_List_Ofilter(V_P,V_xs,T_a)
% 0.19/0.77 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list_Orecs_I2_J_0,axiom,
% 0.19/0.77 c_List_Olist_Olist__rec(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,T_b),T_a,T_b) = hAPP(hAPP(hAPP(V_f2,V_a),V_list),c_List_Olist_Olist__rec(V_f1,V_f2,V_list,T_a,T_b)) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__map_0,axiom,
% 0.19/0.77 ( c_List_Odistinct(V_xs,T_b)
% 0.19/0.77 | ~ c_List_Odistinct(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rev__is__rev__conv_0,axiom,
% 0.19/0.77 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 0.19/0.77 | V_xs = V_ys ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 0.19/0.77 ( V_ys = V_xs
% 0.19/0.77 | V_y = V_x
% 0.19/0.77 | ~ 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__rotate_0,axiom,
% 0.19/0.77 ( c_List_Odistinct(V_xs,T_a)
% 0.19/0.77 | ~ c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__rotate_1,axiom,
% 0.19/0.77 ( c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a)
% 0.19/0.77 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_List_Onull_Osimps_I2_J_0,axiom,
% 0.19/0.77 ~ c_List_Onull(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.19/0.77 ( ~ class_Lattices_Olattice(T_a)
% 0.19/0.77 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_inf__left__idem_0,axiom,
% 0.19/0.77 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.19/0.77 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Int__left__absorb_0,axiom,
% 0.19/0.77 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 0.19/0.77 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)) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.19/0.77 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) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_distinct__remdups_0,axiom,
% 0.19/0.77 c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_inf__idem_0,axiom,
% 0.19/0.77 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.19/0.77 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Int__absorb_0,axiom,
% 0.19/0.77 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list_Oinject_0,axiom,
% 0.19/0.77 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.19/0.77 | V_a = V_a_H ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list_Oinject_1,axiom,
% 0.19/0.77 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.19/0.77 | V_list = V_list_H ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Cons__step1__Cons_1,axiom,
% 0.19/0.77 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.19/0.77 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.19/0.77 | ~ 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Cons__step1__Cons_5,axiom,
% 0.19/0.77 ( 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)
% 0.19/0.77 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sorted__append_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 0.19/0.77 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sorted__append_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_List_Olinorder__class_Osorted(V_ys,T_a)
% 0.19/0.77 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all_Osimps_I2_J_2,axiom,
% 0.19/0.77 ( c_List_Olist__all(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 0.19/0.77 | ~ c_List_Olist__all(V_P,V_xs,T_a)
% 0.19/0.77 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__update__swap_0,axiom,
% 0.19/0.77 ( c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a) = c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a)
% 0.19/0.77 | V_i = V_i_H ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sorted__remdups_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_List_Olinorder__class_Osorted(c_List_Oremdups(V_l,T_a),T_a)
% 0.19/0.77 | ~ c_List_Olinorder__class_Osorted(V_l,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all__rev_0,axiom,
% 0.19/0.77 ( c_List_Olist__all(V_P,V_xs,T_a)
% 0.19/0.77 | ~ c_List_Olist__all(V_P,c_List_Orev(V_xs,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all__rev_1,axiom,
% 0.19/0.77 ( c_List_Olist__all(V_P,c_List_Orev(V_xs,T_a),T_a)
% 0.19/0.77 | ~ c_List_Olist__all(V_P,V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_drop__map_0,axiom,
% 0.19/0.77 c_List_Odrop(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Odrop(V_n,V_xs,T_b),T_b,T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_List_Omember_Osimps_I2_J_0,axiom,
% 0.19/0.77 ( c_List_Omember(V_x,V_ys,T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | ~ c_List_Omember(V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_filter_Osimps_I2_J_1,axiom,
% 0.19/0.77 ( c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Ofilter(V_P,V_xs,T_a)
% 0.19/0.77 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_inf1I_0,axiom,
% 0.19/0.77 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.19/0.77 | ~ hBOOL(hAPP(V_B,V_x))
% 0.19/0.77 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rev__filter_0,axiom,
% 0.19/0.77 c_List_Orev(c_List_Ofilter(V_P,V_xs,T_a),T_a) = c_List_Ofilter(V_P,c_List_Orev(V_xs,T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all2__eq_0,axiom,
% 0.19/0.77 c_List_Olist__all2(c_fequal(T_a),V_x,V_x,T_a,T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append1__eq__conv_0,axiom,
% 0.19/0.77 ( 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)
% 0.19/0.77 | V_xs = V_ys ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append1__eq__conv_1,axiom,
% 0.19/0.77 ( 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)
% 0.19/0.77 | V_x = V_y ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all__append_0,axiom,
% 0.19/0.77 ( c_List_Olist__all(V_P,V_xs,T_a)
% 0.19/0.77 | ~ c_List_Olist__all(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__all__append_1,axiom,
% 0.19/0.77 ( c_List_Olist__all(V_P,V_ys,T_a)
% 0.19/0.77 | ~ c_List_Olist__all(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rotate1__rotate__swap_0,axiom,
% 0.19/0.77 c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(V_n,c_List_Orotate1(V_xs,T_a),T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list_Osplit_1,axiom,
% 0.19/0.77 ( ~ hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,t_b),t_a,t_b)))
% 0.19/0.77 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_a),V_list))) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list_Osplit__asm_1,axiom,
% 0.19/0.77 ( ~ hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_xa,V_xb,t_b),t_a,t_b)))
% 0.19/0.77 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sorted__dropWhile_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_List_Olinorder__class_Osorted(c_List_OdropWhile(V_P,V_xs,T_a),T_a)
% 0.19/0.77 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_list__update__overwrite_0,axiom,
% 0.19/0.77 c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append__assoc_0,axiom,
% 0.19/0.77 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) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append__eq__appendI_0,axiom,
% 0.19/0.77 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) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.19/0.77 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) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.19/0.77 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) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sorted__remove1_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_List_Olinorder__class_Osorted(c_List_Oremove1(V_a,V_xs,T_a),T_a)
% 0.19/0.77 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_splice__Nil2_0,axiom,
% 0.19/0.77 c_List_Osplice(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_splice_Osimps_I1_J_0,axiom,
% 0.19/0.77 c_List_Osplice(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_tl_Osimps_I1_J_0,axiom,
% 0.19/0.77 c_List_Otl(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rotate__is__Nil__conv_0,axiom,
% 0.19/0.77 ( c_List_Orotate(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.19/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_rev_Oinduct_0,axiom,
% 0.19/0.77 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.77 | hBOOL(hAPP(V_P,v_sko__List__Xrev__Xinduct__2(V_P)))
% 0.19/0.77 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Nil__is__rev__conv_0,axiom,
% 0.19/0.77 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 0.19/0.77 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_splice_Oinduct_0,axiom,
% 0.19/0.77 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.77 | hBOOL(hAPP(V_P,v_sko__List__Xsplice__Xinduct__2(V_P)))
% 0.19/0.77 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_set_Oinduct_0,axiom,
% 0.19/0.77 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.77 | hBOOL(hAPP(V_P,v_sko__List__Xset__Xinduct__2(V_P)))
% 0.19/0.77 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_tl_Oinduct_0,axiom,
% 0.19/0.77 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.77 | hBOOL(hAPP(V_P,v_sko__List__Xtl__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list__all2__Nil2_0,axiom,
% 0.19/0.78 ( V_xs = c_List_Olist_ONil(T_a)
% 0.19/0.78 | ~ c_List_Olist__all2(V_P,V_xs,c_List_Olist_ONil(T_b),T_a,T_b) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list__all2__Nil_0,axiom,
% 0.19/0.78 ( V_ys = c_List_Olist_ONil(T_b)
% 0.19/0.78 | ~ c_List_Olist__all2(V_P,c_List_Olist_ONil(T_a),V_ys,T_a,T_b) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list_Oinducts_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xlist__Xinducts__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_hd_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xhd__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_distinct_Osimps_I1_J_0,axiom,
% 0.19/0.78 c_List_Odistinct(c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.19/0.78 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_concat__map_Osimps_I1_J_0,axiom,
% 0.19/0.78 c_List_Oconcat__map(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_remdups_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xremdups__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_List_Omember_Osimps_I1_J_0,axiom,
% 0.19/0.78 ~ c_List_Omember(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_rev__induct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_xs))
% 0.19/0.78 | hBOOL(hAPP(V_P,c_List_Osko__List__Xrev__induct__1__2(V_P,T_a)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(T_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_sort__key_Osimps_I1_J_0,axiom,
% 0.19/0.78 ( ~ class_Orderings_Olinorder(T_b)
% 0.19/0.78 | c_List_Olinorder__class_Osort__key(V_f,c_List_Olist_ONil(T_a),T_a,T_b) = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_drop_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xdrop__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.19/0.78 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.19/0.78 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.19/0.78 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.19/0.78 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.19/0.78 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.19/0.78 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.19/0.78 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.19/0.78 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_foldl__Nil_0,axiom,
% 0.19/0.78 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsum_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xlistsum__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_not__step1__Nil_0,axiom,
% 0.19/0.78 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_not__Nil__step1_0,axiom,
% 0.19/0.78 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_remdups__eq__nil__iff_1,axiom,
% 0.19/0.78 c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_drop__Nil_0,axiom,
% 0.19/0.78 c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_Nil__is__map__conv_0,axiom,
% 0.19/0.78 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a)
% 0.19/0.78 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_removeAll_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__XremoveAll__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list__inter_Osimps_I1_J_0,axiom,
% 0.19/0.78 c_List_Olist__inter(c_List_Olist_ONil(T_a),V_bs,T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_dropWhile_Osimps_I1_J_0,axiom,
% 0.19/0.78 c_List_OdropWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_self__append__conv2_1,axiom,
% 0.19/0.78 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_append__Nil_0,axiom,
% 0.19/0.78 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_self__append__conv_1,axiom,
% 0.19/0.78 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.19/0.78 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_append__Nil2_0,axiom,
% 0.19/0.78 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_rotate1__is__Nil__conv_0,axiom,
% 0.19/0.78 ( c_List_Orotate1(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.19/0.78 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_last_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xlast__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_take__eq__Nil_2,axiom,
% 0.19/0.78 c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_takeWhile_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__XtakeWhile__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list__update_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xlist__update__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_foldl_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xfoldl__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list__all_Osimps_I1_J_0,axiom,
% 0.19/0.78 c_List_Olist__all(V_P,c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_rotate__simps_0,axiom,
% 0.19/0.78 c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list__ex_Osimps_I1_J_0,axiom,
% 0.19/0.78 ~ c_List_Olist__ex(V_P,c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_empty__null_0,axiom,
% 0.19/0.78 c_List_Onull(c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list_Osplit_0,axiom,
% 0.19/0.78 ( ~ hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(t_b),t_a,t_b)))
% 0.19/0.78 | hBOOL(hAPP(V_P,V_f1)) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 0.19/0.78 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_zip_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xzip__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_map__is__Nil__conv_1,axiom,
% 0.19/0.78 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_sublist__nil_0,axiom,
% 0.19/0.78 c_List_Osublist(c_List_Olist_ONil(T_a),V_A,T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listset_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xlistset__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list_Orecs_I1_J_0,axiom,
% 0.19/0.78 c_List_Olist_Olist__rec(V_f1,V_f2,c_List_Olist_ONil(T_b),T_a,T_b) = V_f1 ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_dropWhile_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__XdropWhile__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_take_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xtake__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_sorted_Osimps_I1_J_0,axiom,
% 0.19/0.78 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.78 | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_filtermap_Osimps_I1_J_0,axiom,
% 0.19/0.78 c_List_Ofiltermap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_remdups__eq__nil__right__iff_0,axiom,
% 0.19/0.78 ( c_List_Olist_ONil(T_a) != c_List_Oremdups(V_x,T_a)
% 0.19/0.78 | V_x = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_filter_Osimps_I1_J_0,axiom,
% 0.19/0.78 c_List_Ofilter(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list__update__nonempty_1,axiom,
% 0.19/0.78 c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list__update__code_I1_J_0,axiom,
% 0.19/0.78 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list__update_Osimps_I1_J_0,axiom,
% 0.19/0.78 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_concat_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xconcat__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_neq__Nil__conv_1,axiom,
% 0.19/0.78 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.19/0.78 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_remove1_Osimps_I1_J_0,axiom,
% 0.19/0.78 c_List_Oremove1(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_distinct_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xdistinct__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_map__upds__Nil2_0,axiom,
% 0.19/0.78 c_Map_Omap__upds(V_m,V_as,c_List_Olist_ONil(T_b),T_a,T_b) = V_m ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_map__upds__Nil1_0,axiom,
% 0.19/0.78 c_Map_Omap__upds(V_m,c_List_Olist_ONil(T_a),V_bs,T_a,T_b) = V_m ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_remove1_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xremove1__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list_Osimps_I4_J_0,axiom,
% 0.19/0.78 c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(T_b),T_a,T_b) = V_f1 ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_rev__is__Nil__conv_0,axiom,
% 0.19/0.78 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.19/0.78 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_rotate__is__Nil__conv_1,axiom,
% 0.19/0.78 c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xlist__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_Nil__is__map__conv_1,axiom,
% 0.19/0.78 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.19/0.78 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listrelp_ONil_0,axiom,
% 0.19/0.78 c_List_Olistrelp(V_r,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_map_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_list))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xmap__Xinduct__2(V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_rev__is__Nil__conv_1,axiom,
% 0.19/0.78 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_list__update__nonempty_0,axiom,
% 0.19/0.78 ( c_List_Olist__update(V_xs,V_k,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.19/0.78 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_append__in__listsp__conv_2,axiom,
% 0.19/0.78 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_in__listsp__conv__set_2,axiom,
% 0.19/0.78 ( c_List_Olistsp(V_A,V_xs,T_a)
% 0.19/0.78 | ~ hBOOL(hAPP(V_A,c_List_Osko__List__Xin__listsp__conv__set__1__1(V_A,V_xs,T_a))) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsp__infI_0,axiom,
% 0.19/0.78 ( c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_l,T_a)
% 0.19/0.78 | ~ c_List_Olistsp(V_B,V_l,T_a)
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_l,T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_append__in__listsp__conv_1,axiom,
% 0.19/0.78 ( c_List_Olistsp(V_A,V_ys,T_a)
% 0.19/0.78 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_append__in__listsp__conv_0,axiom,
% 0.19/0.78 ( c_List_Olistsp(V_A,V_xs,T_a)
% 0.19/0.78 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_lift__IT_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))
% 0.19/0.78 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_Lambda_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.19/0.78 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsp_Oinducts_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_x))
% 0.19/0.78 | hBOOL(hAPP(V_A,v_sko__List__Xlistsp__Xinducts__1(V_A,V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_x,t_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsp_Oinducts_2,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_x))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xlistsp__Xinducts__2(V_A,V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_x,t_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsp_Oinduct_0,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_x))
% 0.19/0.78 | hBOOL(hAPP(V_A,v_sko__List__Xlistsp__Xinduct__1(V_A,V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_x,t_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsp_Oinduct_2,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_x))
% 0.19/0.78 | hBOOL(hAPP(V_P,v_sko__List__Xlistsp__Xinduct__2(V_A,V_P)))
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_x,t_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsp_Ocases_2,axiom,
% 0.19/0.78 ( c_List_Olistsp(V_A,v_sko__List__Xlistsp__Xcases__2(V_A,V_a),t_a)
% 0.19/0.78 | V_a = c_List_Olist_ONil(t_a)
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_a,t_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsp_Ocases_1,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_A,v_sko__List__Xlistsp__Xcases__1(V_A,V_a)))
% 0.19/0.78 | V_a = c_List_Olist_ONil(t_a)
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_a,t_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsp_Oinducts_1,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_x))
% 0.19/0.78 | c_List_Olistsp(V_A,v_sko__List__Xlistsp__Xinducts__2(V_A,V_P),t_a)
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_x,t_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsp_Oinduct_1,axiom,
% 0.19/0.78 ( hBOOL(hAPP(V_P,V_x))
% 0.19/0.78 | c_List_Olistsp(V_A,v_sko__List__Xlistsp__Xinduct__2(V_A,V_P),t_a)
% 0.19/0.78 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.19/0.78 | ~ c_List_Olistsp(V_A,V_x,t_a) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_listsp_ONil_0,axiom,
% 0.19/0.78 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_conjecture_0,negated_conjecture,
% 0.19/0.78 ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB) ).
% 0.19/0.78
% 0.19/0.78 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.19/0.78 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.19/0.78 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.19/0.78 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.19/0.78 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.19/0.78
% 0.19/0.78 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 0.19/0.78 class_Lattices_Olower__semilattice(tc_nat) ).
% 0.19/0.78
% 0.19/0.78 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.19/0.78 class_Orderings_Olinorder(tc_nat) ).
% 0.19/0.78
% 0.19/0.78 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.19/0.78 class_Lattices_Olattice(tc_nat) ).
% 0.19/0.78
% 0.19/0.78 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.19/0.78 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.19/0.78
% 0.19/0.78 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.19/0.78 class_Lattices_Olattice(tc_bool) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.19/0.78 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.19/0.78
% 0.19/0.78 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.19/0.78 ( V_X = V_Y
% 0.19/0.78 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.19/0.78
% 0.19/0.78 %------------------------------------------------------------------------------
% 0.19/0.78 %-------------------------------------------
% 0.19/0.78 % Proof found
% 0.19/0.78 % SZS status Theorem for theBenchmark
% 0.19/0.78 % SZS output start Proof
% 0.19/0.78 %ClaNum:533(EqnAxiom:204)
% 0.19/0.78 %VarNum:2149(SingletonVarNum:913)
% 0.19/0.78 %MaxLitNum:4
% 0.19/0.78 %MaxfuncDepth:4
% 0.19/0.78 %SharedTerms:15
% 0.19/0.78 %goalClause: 318
% 0.19/0.78 %singleGoalClaCount:1
% 0.19/0.78 [205]P1(a1)
% 0.19/0.78 [206]P2(a2)
% 0.19/0.78 [207]P2(a1)
% 0.19/0.78 [208]P3(a2)
% 0.19/0.78 [209]P3(a1)
% 0.19/0.78 [318]~P9(a6,f3(a40),a40)
% 0.19/0.78 [210]P4(f3(x2101),x2101)
% 0.19/0.78 [211]P6(f3(x2111),x2111)
% 0.19/0.78 [317]~E(f37(x3171),x3171)
% 0.19/0.78 [214]E(f27(f3(x2141),x2141),f3(x2141))
% 0.19/0.78 [215]E(f28(f3(x2151),x2151),f3(x2151))
% 0.19/0.78 [216]E(f19(f3(x2161),x2161),f3(x2161))
% 0.19/0.78 [217]E(f20(f3(x2171),x2171),f3(x2171))
% 0.19/0.78 [218]P4(f20(x2181,x2182),x2182)
% 0.19/0.78 [222]P7(x2221,f3(x2222),x2222)
% 0.19/0.78 [223]P9(x2231,f3(x2232),x2232)
% 0.19/0.78 [271]P10(x2711,f3(x2712),f3(x2712),x2712)
% 0.19/0.78 [300]P11(f36(x3001),x3002,x3002,x3001,x3001)
% 0.19/0.78 [324]~P12(x3241,f3(x3242),x3242)
% 0.19/0.78 [325]~P13(x3251,f3(x3252),x3252)
% 0.19/0.78 [221]E(f19(f19(x2211,x2212),x2212),x2211)
% 0.19/0.78 [227]E(f4(x2271,f3(x2272),x2272),x2271)
% 0.19/0.78 [228]E(f30(x2281,f3(x2282),x2282),x2281)
% 0.19/0.78 [229]E(f4(f3(x2291),x2292,x2291),x2292)
% 0.19/0.78 [230]E(f30(f3(x2301),x2302,x2301),x2302)
% 0.19/0.78 [231]E(f9(x2311,f3(x2312),x2312),f3(x2312))
% 0.19/0.78 [232]E(f34(x2321,f3(x2322),x2322),f3(x2322))
% 0.19/0.78 [233]E(f29(x2331,f3(x2332),x2332),f3(x2332))
% 0.19/0.78 [234]E(f11(x2341,f3(x2342),x2342),f3(x2342))
% 0.19/0.78 [235]E(f12(x2351,f3(x2352),x2352),f3(x2352))
% 0.19/0.78 [236]E(f26(x2361,f3(x2362),x2362),f3(x2362))
% 0.19/0.78 [237]E(f35(f3(x2371),x2372,x2371),f3(x2371))
% 0.19/0.78 [238]E(f21(f3(x2381),x2382,x2381),f3(x2381))
% 0.19/0.78 [241]E(f5(x2411,x2411,f43(x2412,a2)),x2411)
% 0.19/0.78 [242]P14(f39(f39(f36(x2421),x2422),x2422))
% 0.19/0.78 [246]E(f14(f4(f3(x2461),x2462,x2461),x2461),f14(x2462,x2461))
% 0.19/0.78 [252]E(f19(f13(x2521,f3(x2522),x2522),x2522),f13(x2521,f3(x2522),x2522))
% 0.19/0.78 [248]P13(x2481,f13(x2481,x2482,x2483),x2483)
% 0.19/0.78 [307]P11(x3071,f3(x3072),f3(x3073),x3072,x3073)
% 0.19/0.78 [320]~E(f13(x3201,x3202,x3203),x3202)
% 0.19/0.78 [323]~E(f13(x3231,x3232,x3233),f3(x3233))
% 0.19/0.78 [326]~P6(f13(x3261,x3262,x3263),x3263)
% 0.19/0.78 [327]~P5(x3271,x3272,f3(x3273),x3273)
% 0.19/0.78 [328]~P5(x3281,f3(x3282),x3283,x3282)
% 0.19/0.78 [243]E(f27(f13(x2431,x2432,x2433),x2433),x2432)
% 0.19/0.78 [244]E(f14(f13(x2441,x2442,x2443),x2443),x2441)
% 0.19/0.78 [245]E(f9(x2451,f27(x2452,x2453),x2453),f9(f37(x2451),x2452,x2453))
% 0.19/0.78 [247]E(f5(x2471,x2472,f43(x2473,a2)),f5(x2472,x2471,f43(x2473,a2)))
% 0.19/0.78 [249]E(f26(x2491,f13(x2491,x2492,x2493),x2493),x2492)
% 0.19/0.78 [250]E(f28(f29(x2501,x2502,x2503),x2503),f29(f37(x2501),x2502,x2503))
% 0.19/0.78 [254]E(f29(x2541,f28(x2542,x2543),x2543),f28(f29(x2541,x2542,x2543),x2543))
% 0.19/0.78 [255]E(f12(x2551,f19(x2552,x2553),x2553),f19(f12(x2551,x2552,x2553),x2553))
% 0.19/0.78 [256]E(f12(x2561,f20(x2562,x2563),x2563),f20(f12(x2561,x2562,x2563),x2563))
% 0.19/0.78 [257]E(f9(x2571,f27(x2572,x2573),x2573),f27(f9(x2571,x2572,x2573),x2573))
% 0.19/0.78 [263]E(f4(f19(x2631,x2632),f19(x2633,x2632),x2632),f19(f4(x2633,x2631,x2632),x2632))
% 0.19/0.78 [265]E(f24(x2651,f3(x2652),x2652,x2653),f3(x2653))
% 0.19/0.78 [266]E(f10(x2661,f3(x2662),x2662,x2663),f3(x2663))
% 0.19/0.78 [267]E(f15(x2671,f3(x2672),x2672,x2673),f3(x2673))
% 0.19/0.78 [270]E(f25(f3(x2701),x2702,x2703,x2701),f3(x2701))
% 0.19/0.78 [272]E(f4(f34(x2721,x2722,x2723),f9(x2721,x2722,x2723),x2723),x2722)
% 0.19/0.78 [274]E(f5(x2741,f5(x2741,x2742,f43(x2743,a2)),f43(x2743,a2)),f5(x2741,x2742,f43(x2743,a2)))
% 0.19/0.78 [258]E(f27(f34(f37(x2581),x2582,x2583),x2583),f34(x2581,f27(x2582,x2583),x2583))
% 0.19/0.78 [273]E(f4(x2731,f13(x2732,f3(x2733),x2733),x2733),f28(f13(x2732,x2731,x2733),x2733))
% 0.19/0.78 [275]E(f4(f19(x2751,x2752),f13(x2753,f3(x2752),x2752),x2752),f19(f13(x2753,x2751,x2752),x2752))
% 0.19/0.78 [288]E(f19(f4(f19(x2881,x2882),f13(x2883,f3(x2882),x2882),x2882),x2882),f13(x2883,x2881,x2882))
% 0.19/0.78 [260]E(f9(f37(x2601),f13(x2602,x2603,x2604),x2604),f9(x2601,x2603,x2604))
% 0.19/0.78 [281]E(f13(x2811,f4(x2812,x2813,x2814),x2814),f4(f13(x2811,x2812,x2814),x2813,x2814))
% 0.19/0.78 [283]E(f4(f4(x2831,x2832,x2833),x2834,x2833),f4(x2831,f4(x2832,x2834,x2833),x2833))
% 0.19/0.78 [284]E(f34(f37(x2841),f13(x2842,x2843,x2844),x2844),f13(x2842,f34(x2841,x2843,x2844),x2844))
% 0.19/0.78 [285]E(f4(f12(x2851,x2852,x2853),f12(x2851,x2854,x2853),x2853),f12(x2851,f4(x2852,x2854,x2853),x2853))
% 0.19/0.78 [286]E(f5(x2861,f5(x2862,x2863,f43(x2864,a2)),f43(x2864,a2)),f5(x2862,f5(x2861,x2863,f43(x2864,a2)),f43(x2864,a2)))
% 0.19/0.78 [287]E(f5(f5(x2871,x2872,f43(x2873,a2)),x2874,f43(x2873,a2)),f5(x2871,f5(x2872,x2874,f43(x2873,a2)),f43(x2873,a2)))
% 0.19/0.78 [290]E(f19(f24(x2901,x2902,x2903,x2904),x2904),f24(x2901,f19(x2902,x2903),x2903,x2904))
% 0.19/0.78 [301]E(f16(x3011,x3012,f3(x3013),x3014,x3013),x3012)
% 0.19/0.78 [302]E(f22(x3021,x3022,f3(x3023),x3024,x3023),x3021)
% 0.19/0.78 [303]E(f23(x3031,x3032,f3(x3033),x3034,x3033),x3031)
% 0.19/0.78 [304]E(f38(x3041,x3042,f3(x3043),x3044,x3043),x3041)
% 0.19/0.78 [305]E(f17(x3051,f3(x3052),x3053,x3052,x3054),x3053)
% 0.19/0.78 [306]E(f38(x3061,f3(x3062),x3063,x3062,x3064),x3061)
% 0.19/0.78 [291]E(f9(x2911,f24(x2912,x2913,x2914,x2915),x2915),f24(x2912,f9(x2911,x2913,x2914),x2914,x2915))
% 0.19/0.78 [292]E(f34(x2921,f24(x2922,x2923,x2924,x2925),x2925),f24(x2922,f34(x2921,x2923,x2924),x2924,x2925))
% 0.19/0.78 [293]E(f29(x2931,f24(x2932,x2933,x2934,x2935),x2935),f24(x2932,f29(x2931,x2933,x2934),x2934,x2935))
% 0.19/0.78 [294]E(f25(f13(x2941,x2942,x2943),f37(x2944),x2945,x2943),f13(x2941,f25(x2942,x2944,x2945,x2943),x2943))
% 0.19/0.78 [296]E(f24(x2961,f13(x2962,x2963,x2964),x2964,x2965),f13(f39(x2961,x2962),f24(x2961,x2963,x2964,x2965),x2965))
% 0.19/0.78 [297]E(f10(x2971,f13(x2972,x2973,x2974),x2974,x2975),f4(f39(x2971,x2972),f10(x2971,x2973,x2974,x2975),x2975))
% 0.19/0.78 [298]E(f13(f39(x2981,x2982),f24(x2981,x2983,x2984,x2985),x2985),f24(x2981,f13(x2982,x2983,x2984),x2984,x2985))
% 0.19/0.78 [299]E(f25(f25(x2991,x2992,x2993,x2994),x2992,x2995,x2994),f25(x2991,x2992,x2995,x2994))
% 0.19/0.78 [309]E(f4(f24(x3091,x3092,x3093,x3094),f24(x3091,x3095,x3093,x3094),x3094),f24(x3091,f4(x3092,x3095,x3093),x3093,x3094))
% 0.19/0.78 [289]E(f13(x2891,f13(x2892,f30(x2893,x2894,x2895),x2895),x2895),f30(f13(x2891,x2893,x2895),f13(x2892,x2894,x2895),x2895))
% 0.19/0.78 [308]E(f22(x3081,x3082,f13(x3083,x3084,x3085),x3086,x3085),f39(f39(x3082,x3083),x3084))
% 0.19/0.78 [310]E(f24(x3101,f25(x3102,x3103,x3104,x3105),x3105,x3106),f25(f24(x3101,x3102,x3105,x3106),x3103,f39(x3101,x3104),x3106))
% 0.19/0.78 [312]E(f17(x3121,f13(x3122,x3123,x3124),x3125,x3124,x3126),f39(f39(x3121,x3122),f17(x3121,x3123,x3125,x3124,x3126)))
% 0.19/0.78 [313]E(f23(x3131,x3132,f13(x3133,x3134,x3135),x3136,x3135),f39(f39(f39(x3132,x3133),x3134),f23(x3131,x3132,x3134,x3136,x3135)))
% 0.19/0.78 [314]E(f16(x3141,f16(x3141,x3142,x3143,x3144,x3145),x3146,x3144,x3145),f16(x3141,x3142,f4(x3143,x3146,x3145),x3144,x3145))
% 0.19/0.78 [315]E(f17(x3151,x3152,f17(x3151,x3153,x3154,x3155,x3156),x3155,x3156),f17(x3151,f4(x3152,x3153,x3155),x3154,x3155,x3156))
% 0.19/0.78 [311]E(f16(x3111,x3112,f13(x3113,x3114,x3115),x3116,x3115),f16(x3111,f39(f39(x3111,x3112),x3113),x3114,x3116,x3115))
% 0.19/0.78 [332]~P1(x3321)+P8(f3(x3321),x3321)
% 0.19/0.78 [350]~P14(f39(a6,x3501))+P14(f39(a6,f7(x3501)))
% 0.19/0.78 [330]E(x3301,x3302)+~E(f37(x3301),f37(x3302))
% 0.19/0.78 [331]E(x3311,x3312)+~E(f7(x3311),f7(x3312))
% 0.19/0.78 [333]~P6(x3331,x3332)+E(x3331,f3(x3332))
% 0.19/0.78 [336]~E(f28(x3361,x3362),f3(x3362))+E(x3361,f3(x3362))
% 0.19/0.78 [337]~E(f19(x3371,x3372),f3(x3372))+E(x3371,f3(x3372))
% 0.19/0.78 [338]~E(f20(x3381,x3382),f3(x3382))+E(x3381,f3(x3382))
% 0.19/0.78 [339]~P3(x3392)+P2(f43(x3391,x3392))
% 0.19/0.78 [340]~P3(x3402)+P3(f43(x3401,x3402))
% 0.19/0.78 [341]~P4(x3411,x3412)+E(f20(x3411,x3412),x3411)
% 0.19/0.78 [342]P4(x3421,x3422)+~E(f20(x3421,x3422),x3421)
% 0.19/0.78 [344]~P2(x3442)+E(f5(x3441,x3441,x3442),x3441)
% 0.19/0.78 [345]~P4(x3451,x3452)+P4(f28(x3451,x3452),x3452)
% 0.19/0.78 [346]~P4(x3461,x3462)+P4(f19(x3461,x3462),x3462)
% 0.19/0.78 [348]P4(x3481,x3482)+~P4(f28(x3481,x3482),x3482)
% 0.19/0.78 [349]P4(x3491,x3492)+~P4(f19(x3491,x3492),x3492)
% 0.19/0.78 [362]~P14(f39(a6,x3621))+P14(f39(a6,f8(x3621,x3622)))
% 0.19/0.78 [387]~P1(x3872)+P8(f13(x3871,f3(x3872),x3872),x3872)
% 0.19/0.78 [439]E(x4391,f3(x4392))+E(f4(f27(x4391,x4392),f13(f14(x4391,x4392),f3(x4392),x4392),x4392),f28(x4391,x4392))
% 0.19/0.78 [343]E(x3431,x3432)+~E(f19(x3431,x3433),f19(x3432,x3433))
% 0.19/0.78 [353]~E(f4(x3533,x3531,x3532),x3533)+E(x3531,f3(x3532))
% 0.19/0.78 [354]~E(f4(x3541,x3543,x3542),x3543)+E(x3541,f3(x3542))
% 0.19/0.78 [357]~E(f29(x3573,x3571,x3572),f3(x3572))+E(x3571,f3(x3572))
% 0.19/0.78 [358]~E(f4(x3583,x3581,x3582),f3(x3582))+E(x3581,f3(x3582))
% 0.19/0.78 [359]~E(f4(x3591,x3593,x3592),f3(x3592))+E(x3591,f3(x3592))
% 0.19/0.78 [360]~P2(x3603)+E(f5(x3601,x3602,x3603),f5(x3602,x3601,x3603))
% 0.19/0.78 [361]~P3(x3613)+E(f5(x3611,x3612,x3613),f5(x3612,x3611,x3613))
% 0.19/0.78 [388]~P4(x3882,x3883)+P4(f9(x3881,x3882,x3883),x3883)
% 0.19/0.78 [389]~P4(x3892,x3893)+P4(f34(x3891,x3892,x3893),x3893)
% 0.19/0.78 [390]~P4(x3902,x3903)+P4(f29(x3901,x3902,x3903),x3903)
% 0.19/0.78 [391]~P4(x3912,x3913)+P4(f11(x3911,x3912,x3913),x3913)
% 0.19/0.78 [392]~P4(x3922,x3923)+P4(f12(x3921,x3922,x3923),x3923)
% 0.19/0.78 [393]~P4(x3932,x3933)+P4(f26(x3931,x3932,x3933),x3933)
% 0.19/0.78 [394]~P4(x3941,x3943)+P4(f35(x3941,x3942,x3943),x3943)
% 0.19/0.78 [400]~P7(x4001,x4002,x4003)+P7(x4001,f19(x4002,x4003),x4003)
% 0.19/0.78 [410]P7(x4101,x4102,x4103)+~P7(x4101,f19(x4102,x4103),x4103)
% 0.19/0.78 [414]P4(x4141,x4142)+~P4(f13(x4143,x4141,x4142),x4142)
% 0.19/0.78 [415]P4(x4151,x4152)+~P4(f29(x4153,x4151,x4152),x4152)
% 0.19/0.78 [416]P4(x4161,x4162)+~P4(f4(x4163,x4161,x4162),x4162)
% 0.19/0.78 [417]P4(x4171,x4172)+~P4(f4(x4171,x4173,x4172),x4172)
% 0.19/0.78 [516]E(x5161,x5162)+~P11(f36(x5163),x5161,x5162,x5163,x5163)
% 0.19/0.78 [386]E(x3861,f3(x3862))+E(f14(f4(x3861,x3863,x3862),x3862),f14(x3861,x3862))
% 0.19/0.78 [407]~E(f19(x4071,x4073),f13(x4072,f3(x4073),x4073))+E(x4071,f13(x4072,f3(x4073),x4073))
% 0.19/0.78 [408]~E(f13(x4082,f3(x4083),x4083),f19(x4081,x4083))+E(x4081,f13(x4082,f3(x4083),x4083))
% 0.19/0.78 [418]E(x4181,f3(x4182))+E(f4(f27(x4181,x4182),x4183,x4182),f27(f4(x4181,x4183,x4182),x4182))
% 0.19/0.78 [424]~P2(x4243)+E(f5(x4241,f5(x4241,x4242,x4243),x4243),f5(x4241,x4242,x4243))
% 0.19/0.78 [425]~P3(x4253)+E(f5(x4251,f5(x4251,x4252,x4253),x4253),f5(x4251,x4252,x4253))
% 0.19/0.78 [438]~P1(x4383)+E(f18(x4381,f3(x4382),x4382,x4383),f3(x4382))
% 0.19/0.78 [464]P9(x4641,x4642,x4643)+~P14(f39(x4641,f32(x4641,x4642,x4643)))
% 0.19/0.78 [401]E(x4011,x4012)+~P14(f39(f39(f36(x4013),x4011),x4012))
% 0.19/0.78 [442]E(x4421,f3(x4422))+E(f13(f14(x4421,x4422),f34(x4423,f27(x4421,x4422),x4422),x4422),f34(f37(x4423),x4421,x4422))
% 0.19/0.78 [503]E(f11(x5031,x5032,x5033),f3(x5033))+~P14(f39(x5031,f14(f11(x5031,x5032,x5033),x5033)))
% 0.19/0.78 [531]P14(f39(x5311,x5312))+~P14(f39(x5311,f22(x5312,x5313,f3(a42),a41,a42)))
% 0.19/0.78 [404]E(x4041,x4042)+~E(f4(x4043,x4041,x4044),f4(x4043,x4042,x4044))
% 0.19/0.78 [406]E(x4061,x4062)+~E(f4(x4061,x4063,x4064),f4(x4062,x4063,x4064))
% 0.19/0.78 [419]P12(x4191,f13(x4192,x4193,x4194),x4194)+~P14(f39(x4191,x4192))
% 0.19/0.78 [429]~P12(x4291,x4293,x4294)+P12(x4291,f13(x4292,x4293,x4294),x4294)
% 0.19/0.78 [430]~P13(x4301,x4303,x4304)+P13(x4301,f13(x4302,x4303,x4304),x4304)
% 0.19/0.78 [440]~P7(x4401,f13(x4402,x4403,x4404),x4404)+P14(f39(x4401,x4402))
% 0.19/0.78 [444]P7(x4441,x4442,x4443)+~P7(x4441,f13(x4444,x4442,x4443),x4443)
% 0.19/0.78 [445]P7(x4451,x4452,x4453)+~P7(x4451,f4(x4454,x4452,x4453),x4453)
% 0.19/0.78 [446]P7(x4461,x4462,x4463)+~P7(x4461,f4(x4462,x4464,x4463),x4463)
% 0.19/0.78 [447]P9(x4471,x4472,x4473)+~P9(x4471,f4(x4474,x4472,x4473),x4473)
% 0.19/0.78 [448]P9(x4481,x4482,x4483)+~P9(x4481,f4(x4482,x4484,x4483),x4483)
% 0.19/0.78 [461]~E(f24(x4613,x4611,x4612,x4614),f3(x4614))+E(x4611,f3(x4612))
% 0.19/0.78 [462]~E(f25(x4621,x4623,x4624,x4622),f3(x4622))+E(x4621,f3(x4622))
% 0.19/0.78 [498]P4(x4981,x4982)+~P4(f24(x4983,x4981,x4982,x4984),x4984)
% 0.19/0.78 [517]~P11(x5173,x5171,f3(x5174),x5172,x5174)+E(x5171,f3(x5172))
% 0.19/0.78 [518]~P11(x5183,f3(x5184),x5181,x5184,x5182)+E(x5181,f3(x5182))
% 0.19/0.78 [426]P14(f39(x4261,x4262))+E(f11(x4261,f13(x4262,x4263,x4264),x4264),f13(x4262,x4263,x4264))
% 0.19/0.78 [427]P14(f39(x4271,x4272))+E(f12(x4271,f13(x4272,x4273,x4274),x4274),f12(x4271,x4273,x4274))
% 0.19/0.78 [428]P14(f39(x4282,x4281))+E(f26(x4281,f12(x4282,x4283,x4284),x4284),f12(x4282,x4283,x4284))
% 0.19/0.78 [437]~P14(f39(x4371,x4372))+E(f11(x4371,f13(x4372,x4373,x4374),x4374),f11(x4371,x4373,x4374))
% 0.19/0.78 [450]E(x4501,x4502)+E(f26(x4501,f13(x4502,x4503,x4504),x4504),f13(x4502,f26(x4501,x4503,x4504),x4504))
% 0.19/0.78 [451]~P2(x4514)+E(f5(x4511,f5(x4512,x4513,x4514),x4514),f5(x4512,f5(x4511,x4513,x4514),x4514))
% 0.19/0.78 [452]~P3(x4524)+E(f5(x4521,f5(x4522,x4523,x4524),x4524),f5(x4522,f5(x4521,x4523,x4524),x4524))
% 0.19/0.78 [453]~P2(x4533)+E(f5(f5(x4531,x4532,x4533),x4534,x4533),f5(x4531,f5(x4532,x4534,x4533),x4533))
% 0.19/0.78 [454]~P3(x4543)+E(f5(f5(x4541,x4542,x4543),x4544,x4543),f5(x4541,f5(x4542,x4544,x4543),x4543))
% 0.19/0.78 [458]~P14(f39(x4581,x4582))+E(f12(x4581,f13(x4582,x4583,x4584),x4584),f13(x4582,f12(x4581,x4583,x4584),x4584))
% 0.19/0.78 [511]~P1(x5114)+P8(f24(x5111,f18(x5111,x5112,x5113,x5114),x5113,x5114),x5114)
% 0.19/0.78 [443]~E(f19(x4431,x4433),f13(x4434,x4432,x4433))+E(x4431,f4(f19(x4432,x4433),f13(x4434,f3(x4433),x4433),x4433))
% 0.19/0.78 [491]P14(f39(x4911,x4912))+~P14(f39(f5(x4913,x4911,f43(x4914,a2)),x4912))
% 0.19/0.78 [492]P14(f39(x4921,x4922))+~P14(f39(f5(x4921,x4923,f43(x4924,a2)),x4922))
% 0.19/0.78 [495]E(x4951,f3(x4952))+E(f13(x4953,f13(f14(x4951,x4952),f30(x4954,f27(x4951,x4952),x4952),x4952),x4952),f30(f13(x4953,x4954,x4952),x4951,x4952))
% 0.19/0.78 [403]E(x4031,x4032)+~E(f13(x4033,x4031,x4034),f13(x4035,x4032,x4034))
% 0.19/0.78 [405]E(x4051,x4052)+~E(f13(x4051,x4053,x4054),f13(x4052,x4055,x4054))
% 0.19/0.78 [413]~E(f12(x4131,x4133,x4134),f13(x4132,x4135,x4134))+P14(f39(x4131,x4132))
% 0.19/0.78 [423]~E(f11(x4231,x4232,x4233),f13(x4234,x4235,x4233))+~P14(f39(x4231,x4234))
% 0.19/0.78 [500]~P5(x5001,x5003,x5005,x5004)+P5(x5001,f13(x5002,x5003,x5004),f13(x5002,x5005,x5004),x5004)
% 0.19/0.78 [501]~P5(x5011,x5012,x5015,x5014)+P5(x5011,f4(x5012,x5013,x5014),f4(x5015,x5013,x5014),x5014)
% 0.19/0.78 [502]~P5(x5021,x5023,x5025,x5024)+P5(x5021,f4(x5022,x5023,x5024),f4(x5022,x5025,x5024),x5024)
% 0.19/0.78 [520]~P11(x5201,x5202,x5204,x5203,x5205)+P11(x5201,f19(x5202,x5203),f19(x5204,x5205),x5203,x5205)
% 0.19/0.78 [521]~P11(x5211,f19(x5212,x5215),x5213,x5215,x5214)+P11(x5211,x5212,f19(x5213,x5214),x5215,x5214)
% 0.19/0.78 [522]~P11(x5221,x5222,f19(x5224,x5225),x5223,x5225)+P11(x5221,f19(x5222,x5223),x5224,x5223,x5225)
% 0.19/0.78 [523]P11(x5231,x5232,x5233,x5234,x5235)+~P11(x5231,f19(x5232,x5234),f19(x5233,x5235),x5234,x5235)
% 0.19/0.78 [493]P5(x4931,f13(x4932,x4933,x4934),f13(x4935,x4933,x4934),x4934)+~P14(f39(f39(x4931,x4932),x4935))
% 0.19/0.78 [489]E(x4891,x4892)+~E(f4(x4893,f13(x4891,f3(x4894),x4894),x4894),f4(x4895,f13(x4892,f3(x4894),x4894),x4894))
% 0.19/0.78 [490]E(x4901,x4902)+~E(f4(x4901,f13(x4903,f3(x4904),x4904),x4904),f4(x4902,f13(x4905,f3(x4904),x4904),x4904))
% 0.19/0.78 [533]P14(f39(x5331,f39(f39(x5332,x5333),x5334)))+~P14(f39(x5331,f22(x5335,x5332,f13(x5333,x5334,a42),a41,a42)))
% 0.19/0.78 [524]~P11(x5241,x5243,x5245,x5244,x5246)+P11(x5241,f9(x5242,x5243,x5244),f9(x5242,x5245,x5246),x5244,x5246)
% 0.19/0.78 [525]~P11(x5251,x5253,x5255,x5254,x5256)+P11(x5251,f34(x5252,x5253,x5254),f34(x5252,x5255,x5256),x5254,x5256)
% 0.19/0.78 [510]E(x5101,x5102)+E(f25(f25(x5103,x5101,x5104,x5105),x5102,x5106,x5105),f25(f25(x5103,x5102,x5106,x5105),x5101,x5104,x5105))
% 0.19/0.78 [526]P11(x5261,x5262,x5263,x5264,x5265)+~P11(x5261,f13(x5266,x5262,x5264),f13(x5267,x5263,x5265),x5264,x5265)
% 0.19/0.78 [519]~P11(x5191,f13(x5192,x5194,x5195),f13(x5193,x5196,x5197),x5195,x5197)+P14(f39(f39(x5191,x5192),x5193))
% 0.19/0.78 [347]~P1(x3472)+~P8(x3471,x3472)+P8(f20(x3471,x3472),x3472)
% 0.19/0.78 [399]~P9(x3992,x3991,a41)+P9(x3992,f69(x3992,x3991),a41)+E(x3991,f3(a41))
% 0.19/0.78 [363]P14(f39(x3631,x3632))+P14(f39(x3631,f44(x3631)))+~P14(f39(x3631,f3(a41)))
% 0.19/0.78 [364]P14(f39(x3641,x3642))+P14(f39(x3641,f52(x3641)))+~P14(f39(x3641,f3(a41)))
% 0.19/0.78 [365]P14(f39(x3651,x3652))+P14(f39(x3651,f53(x3651)))+~P14(f39(x3651,f3(a41)))
% 0.19/0.78 [366]P14(f39(x3661,x3662))+P14(f39(x3661,f45(x3661)))+~P14(f39(x3661,f3(a41)))
% 0.19/0.78 [367]P14(f39(x3671,x3672))+P14(f39(x3671,f55(x3671)))+~P14(f39(x3671,f3(a41)))
% 0.19/0.78 [368]P14(f39(x3681,x3682))+P14(f39(x3681,f84(x3681)))+~P14(f39(x3681,f3(a41)))
% 0.19/0.78 [369]P14(f39(x3691,x3692))+P14(f39(x3691,f85(x3691)))+~P14(f39(x3691,f3(a41)))
% 0.19/0.78 [370]P14(f39(x3701,x3702))+P14(f39(x3701,f57(x3701)))+~P14(f39(x3701,f3(a41)))
% 0.19/0.78 [371]P14(f39(x3711,x3712))+P14(f39(x3711,f58(x3711)))+~P14(f39(x3711,f3(a41)))
% 0.19/0.78 [372]P14(f39(x3721,x3722))+P14(f39(x3721,f59(x3721)))+~P14(f39(x3721,f3(a41)))
% 0.19/0.78 [373]P14(f39(x3731,x3732))+P14(f39(x3731,f64(x3731)))+~P14(f39(x3731,f3(a41)))
% 0.19/0.78 [374]P14(f39(x3741,x3742))+P14(f39(x3741,f77(x3741)))+~P14(f39(x3741,f3(a41)))
% 0.19/0.78 [375]P14(f39(x3751,x3752))+P14(f39(x3751,f79(x3751)))+~P14(f39(x3751,f3(a41)))
% 0.19/0.78 [376]P14(f39(x3761,x3762))+P14(f39(x3761,f87(x3761)))+~P14(f39(x3761,f3(a41)))
% 0.19/0.78 [377]P14(f39(x3771,x3772))+P14(f39(x3771,f47(x3771)))+~P14(f39(x3771,f3(a41)))
% 0.19/0.78 [378]P14(f39(x3781,x3782))+P14(f39(x3781,f92(x3781)))+~P14(f39(x3781,f3(a41)))
% 0.19/0.78 [379]P14(f39(x3791,x3792))+P14(f39(x3791,f66(x3791)))+~P14(f39(x3791,f3(a41)))
% 0.19/0.78 [380]P14(f39(x3801,x3802))+P14(f39(x3801,f80(x3801)))+~P14(f39(x3801,f3(a41)))
% 0.19/0.78 [381]P14(f39(x3811,x3812))+P14(f39(x3811,f88(x3811)))+~P14(f39(x3811,f3(a41)))
% 0.19/0.78 [382]P14(f39(x3821,x3822))+P14(f39(x3821,f48(x3821)))+~P14(f39(x3821,f3(a41)))
% 0.19/0.78 [383]P14(f39(x3831,x3832))+P14(f39(x3831,f68(x3831)))+~P14(f39(x3831,f3(a41)))
% 0.19/0.78 [384]P14(f39(x3841,x3842))+P14(f39(x3841,f60(x3841)))+~P14(f39(x3841,f3(a41)))
% 0.19/0.78 [385]P14(f39(x3851,x3852))+P14(f39(x3851,f93(x3851)))+~P14(f39(x3851,f3(a41)))
% 0.19/0.78 [402]~P9(x4022,x4021,a41)+E(x4021,f3(a41))+P14(f39(x4022,f70(x4022,x4021)))
% 0.19/0.79 [411]~P9(x4112,x4111,a41)+E(x4111,f3(a41))+E(f13(f70(x4112,x4111),f69(x4112,x4111),a41),x4111)
% 0.19/0.79 [466]P14(f39(x4661,x4662))+~P14(f39(x4661,f3(a41)))+~P14(f39(x4661,f13(f51(x4661),f44(x4661),a41)))
% 0.19/0.79 [467]P14(f39(x4671,x4672))+~P14(f39(x4671,f3(a41)))+~P14(f39(x4671,f13(f83(x4671),f52(x4671),a41)))
% 0.19/0.79 [468]P14(f39(x4681,x4682))+~P14(f39(x4681,f3(a41)))+~P14(f39(x4681,f13(f54(x4681),f53(x4681),a41)))
% 0.19/0.79 [469]P14(f39(x4691,x4692))+~P14(f39(x4691,f3(a41)))+~P14(f39(x4691,f13(f46(x4691),f45(x4691),a41)))
% 0.19/0.79 [470]P14(f39(x4701,x4702))+~P14(f39(x4701,f3(a41)))+~P14(f39(x4701,f13(f56(x4701),f55(x4701),a41)))
% 0.19/0.79 [471]P14(f39(x4711,x4712))+~P14(f39(x4711,f3(a41)))+~P14(f39(x4711,f13(f91(x4711),f84(x4711),a41)))
% 0.19/0.79 [472]P14(f39(x4721,x4722))+~P14(f39(x4721,f3(a41)))+~P14(f39(x4721,f13(f86(x4721),f85(x4721),a41)))
% 0.19/0.79 [473]P14(f39(x4731,x4732))+~P14(f39(x4731,f3(a41)))+~P14(f39(x4731,f13(f76(x4731),f57(x4731),a41)))
% 0.19/0.79 [474]P14(f39(x4741,x4742))+~P14(f39(x4741,f3(a41)))+~P14(f39(x4741,f13(f63(x4741),f58(x4741),a41)))
% 0.19/0.79 [475]P14(f39(x4751,x4752))+~P14(f39(x4751,f3(a41)))+~P14(f39(x4751,f13(f62(x4751),f59(x4751),a41)))
% 0.19/0.79 [476]P14(f39(x4761,x4762))+~P14(f39(x4761,f3(a41)))+~P14(f39(x4761,f13(f65(x4761),f64(x4761),a41)))
% 0.19/0.79 [477]P14(f39(x4771,x4772))+~P14(f39(x4771,f3(a41)))+~P14(f39(x4771,f13(f78(x4771),f77(x4771),a41)))
% 0.19/0.79 [478]P14(f39(x4781,x4782))+~P14(f39(x4781,f3(a41)))+~P14(f39(x4781,f13(f82(x4781),f79(x4781),a41)))
% 0.19/0.79 [479]P14(f39(x4791,x4792))+~P14(f39(x4791,f3(a41)))+~P14(f39(x4791,f13(f90(x4791),f87(x4791),a41)))
% 0.19/0.79 [480]P14(f39(x4801,x4802))+~P14(f39(x4801,f3(a41)))+~P14(f39(x4801,f13(f50(x4801),f47(x4801),a41)))
% 0.19/0.79 [481]P14(f39(x4811,x4812))+~P14(f39(x4811,f3(a41)))+~P14(f39(x4811,f13(f95(x4811),f92(x4811),a41)))
% 0.19/0.79 [482]P14(f39(x4821,x4822))+~P14(f39(x4821,f3(a41)))+~P14(f39(x4821,f13(f67(x4821),f66(x4821),a41)))
% 0.19/0.79 [483]P14(f39(x4831,x4832))+~P14(f39(x4831,f3(a41)))+~P14(f39(x4831,f13(f81(x4831),f80(x4831),a41)))
% 0.19/0.79 [484]P14(f39(x4841,x4842))+~P14(f39(x4841,f3(a41)))+~P14(f39(x4841,f13(f89(x4841),f88(x4841),a41)))
% 0.19/0.79 [485]P14(f39(x4851,x4852))+~P14(f39(x4851,f3(a41)))+~P14(f39(x4851,f13(f49(x4851),f48(x4851),a41)))
% 0.19/0.79 [486]P14(f39(x4861,x4862))+~P14(f39(x4861,f3(a41)))+~P14(f39(x4861,f13(f75(x4861),f68(x4861),a41)))
% 0.19/0.79 [487]P14(f39(x4871,x4872))+~P14(f39(x4871,f3(a41)))+~P14(f39(x4871,f13(f61(x4871),f60(x4871),a41)))
% 0.19/0.79 [488]P14(f39(x4881,x4882))+~P14(f39(x4881,f3(a41)))+~P14(f39(x4881,f13(f94(x4881),f93(x4881),a41)))
% 0.19/0.79 [395]~P1(x3953)+~P8(x3952,x3953)+P8(f9(x3951,x3952,x3953),x3953)
% 0.19/0.79 [396]~P1(x3963)+~P8(x3962,x3963)+P8(f34(x3961,x3962,x3963),x3963)
% 0.19/0.79 [397]~P1(x3973)+~P8(x3972,x3973)+P8(f11(x3971,x3972,x3973),x3973)
% 0.19/0.79 [398]~P1(x3983)+~P8(x3982,x3983)+P8(f26(x3981,x3982,x3983),x3983)
% 0.19/0.79 [420]~P1(x4202)+P8(x4201,x4202)+~P8(f13(x4203,x4201,x4202),x4202)
% 0.19/0.79 [421]~P1(x4212)+P8(x4211,x4212)+~P8(f4(x4213,x4211,x4212),x4212)
% 0.19/0.79 [422]~P1(x4222)+P8(x4221,x4222)+~P8(f4(x4221,x4223,x4222),x4222)
% 0.19/0.79 [409]P14(f39(x4091,x4092))+~P14(f39(x4091,f3(x4093)))+P14(f39(x4091,f31(x4091,x4093)))
% 0.19/0.79 [513]P14(f39(x5131,x5132))+~P14(f39(x5131,f3(x5133)))+~P14(f39(x5131,f4(f31(x5131,x5133),f13(f33(x5131,x5133),f3(x5133),x5133),x5133)))
% 0.19/0.79 [441]~P7(x4411,x4413,x4414)+P7(x4411,f13(x4412,x4413,x4414),x4414)+~P14(f39(x4411,x4412))
% 0.19/0.79 [449]E(x4491,x4492)+P13(x4491,x4493,x4494)+~P13(x4491,f13(x4492,x4493,x4494),x4494)
% 0.19/0.79 [455]~P7(x4551,x4553,x4554)+~P7(x4551,x4552,x4554)+P7(x4551,f4(x4552,x4553,x4554),x4554)
% 0.19/0.79 [456]~P9(x4561,x4563,x4564)+~P9(x4561,x4562,x4564)+P9(x4561,f4(x4562,x4563,x4564),x4564)
% 0.19/0.79 [457]P12(x4571,x4572,x4573)+~P12(x4571,f13(x4574,x4572,x4573),x4573)+P14(f39(x4571,x4574))
% 0.19/0.79 [465]~P1(x4654)+~P4(x4652,x4653)+P4(f18(x4651,x4652,x4653,x4654),x4653)
% 0.19/0.79 [499]P4(x4991,x4992)+~P1(x4993)+~P4(f18(x4994,x4991,x4992,x4993),x4992)
% 0.19/0.79 [459]~P9(x4592,x4594,x4593)+~P9(x4591,x4594,x4593)+P9(f5(x4591,x4592,f43(x4593,a2)),x4594,x4593)
% 0.19/0.79 [463]~P14(f39(x4632,x4634))+~P14(f39(x4631,x4634))+P14(f39(f5(x4631,x4632,f43(x4633,a2)),x4634))
% 0.19/0.79 [496]E(x4961,x4962)+E(x4963,x4964)+~P5(x4965,f13(x4964,x4962,x4966),f13(x4963,x4961,x4966),x4966)
% 0.19/0.79 [506]E(x5061,x5062)+P5(x5063,x5061,x5062,x5064)+~P5(x5063,f13(x5065,x5061,x5064),f13(x5066,x5062,x5064),x5064)
% 0.19/0.79 [497]E(x4971,x4972)+~P5(x4973,f13(x4972,x4974,x4975),f13(x4971,x4976,x4975),x4975)+P14(f39(f39(x4973,x4972),x4971))
% 0.19/0.79 [507]~P10(x5071,x5073,x5076,x5074)+P10(x5071,f13(x5072,x5073,x5074),f13(x5075,x5076,x5074),x5074)+~P14(f39(f39(x5071,x5072),x5075))
% 0.19/0.79 [508]P5(x5081,x5082,x5083,x5084)+~P5(x5081,f13(x5085,x5082,x5084),f13(x5086,x5083,x5084),x5084)+P14(f39(f39(x5081,x5085),x5086))
% 0.19/0.79 [509]E(x5091,x5092)+E(x5093,x5094)+~P5(x5095,f4(x5093,f13(x5091,f3(x5096),x5096),x5096),f4(x5094,f13(x5092,f3(x5096),x5096),x5096),x5096)
% 0.19/0.79 [512]E(x5121,x5122)+~P5(x5123,f4(x5124,f13(x5121,f3(x5125),x5125),x5125),f4(x5126,f13(x5122,f3(x5125),x5125),x5125),x5125)+P14(f39(f39(x5123,x5121),x5122))
% 0.19/0.79 [514]E(x5141,x5142)+P5(x5143,x5141,x5142,x5144)+~P5(x5143,f4(x5141,f13(x5145,f3(x5144),x5144),x5144),f4(x5142,f13(x5146,f3(x5144),x5144),x5144),x5144)
% 0.19/0.79 [515]P5(x5151,x5152,x5153,x5154)+~P5(x5151,f4(x5152,f13(x5155,f3(x5154),x5154),x5154),f4(x5153,f13(x5156,f3(x5154),x5154),x5154),x5154)+P14(f39(f39(x5151,x5155),x5156))
% 0.19/0.79 [530]~P11(x5301,x5303,x5306,x5304,x5307)+~P11(x5301,x5302,x5305,x5304,x5307)+P11(x5301,f4(x5302,x5303,x5304),f4(x5305,x5306,x5307),x5304,x5307)
% 0.19/0.79 [529]~P11(x5291,x5293,x5296,x5294,x5297)+P11(x5291,f13(x5292,x5293,x5294),f13(x5295,x5296,x5297),x5294,x5297)+~P14(f39(f39(x5291,x5292),x5295))
% 0.19/0.79 [431]~P9(x4313,x4312,a41)+P9(x4313,f71(x4313,x4311),a41)+P14(f39(x4311,x4312))+~P14(f39(x4311,f3(a41)))
% 0.19/0.79 [432]~P9(x4323,x4322,a41)+P9(x4323,f73(x4323,x4321),a41)+P14(f39(x4321,x4322))+~P14(f39(x4321,f3(a41)))
% 0.19/0.79 [433]~P9(x4333,x4332,a41)+P14(f39(x4331,x4332))+P14(f39(x4333,f72(x4333,x4331)))+~P14(f39(x4331,f3(a41)))
% 0.19/0.79 [434]~P9(x4343,x4342,a41)+P14(f39(x4341,x4342))+P14(f39(x4343,f74(x4343,x4341)))+~P14(f39(x4341,f3(a41)))
% 0.19/0.79 [435]~P9(x4353,x4352,a41)+P14(f39(x4351,x4352))+P14(f39(x4351,f71(x4353,x4351)))+~P14(f39(x4351,f3(a41)))
% 0.19/0.79 [436]~P9(x4363,x4362,a41)+P14(f39(x4361,x4362))+P14(f39(x4361,f73(x4363,x4361)))+~P14(f39(x4361,f3(a41)))
% 0.19/0.79 [504]~P9(x5043,x5042,a41)+P14(f39(x5041,x5042))+~P14(f39(x5041,f3(a41)))+~P14(f39(x5041,f13(f72(x5043,x5041),f71(x5043,x5041),a41)))
% 0.19/0.79 [505]~P9(x5053,x5052,a41)+P14(f39(x5051,x5052))+~P14(f39(x5051,f3(a41)))+~P14(f39(x5051,f13(f74(x5053,x5051),f73(x5053,x5051),a41)))
% 0.19/0.79 %EqnAxiom
% 0.19/0.79 [1]E(x11,x11)
% 0.19/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.79 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.19/0.79 [5]~E(x51,x52)+E(f39(x51,x53),f39(x52,x53))
% 0.19/0.79 [6]~E(x61,x62)+E(f39(x63,x61),f39(x63,x62))
% 0.19/0.79 [7]~E(x71,x72)+E(f22(x71,x73,x74,x75,x76),f22(x72,x73,x74,x75,x76))
% 0.19/0.79 [8]~E(x81,x82)+E(f22(x83,x81,x84,x85,x86),f22(x83,x82,x84,x85,x86))
% 0.19/0.79 [9]~E(x91,x92)+E(f22(x93,x94,x91,x95,x96),f22(x93,x94,x92,x95,x96))
% 0.19/0.79 [10]~E(x101,x102)+E(f22(x103,x104,x105,x101,x106),f22(x103,x104,x105,x102,x106))
% 0.19/0.79 [11]~E(x111,x112)+E(f22(x113,x114,x115,x116,x111),f22(x113,x114,x115,x116,x112))
% 0.19/0.79 [12]~E(x121,x122)+E(f19(x121,x123),f19(x122,x123))
% 0.19/0.79 [13]~E(x131,x132)+E(f19(x133,x131),f19(x133,x132))
% 0.19/0.79 [14]~E(x141,x142)+E(f13(x141,x143,x144),f13(x142,x143,x144))
% 0.19/0.79 [15]~E(x151,x152)+E(f13(x153,x151,x154),f13(x153,x152,x154))
% 0.19/0.79 [16]~E(x161,x162)+E(f13(x163,x164,x161),f13(x163,x164,x162))
% 0.19/0.79 [17]~E(x171,x172)+E(f80(x171),f80(x172))
% 0.19/0.79 [18]~E(x181,x182)+E(f20(x181,x183),f20(x182,x183))
% 0.19/0.79 [19]~E(x191,x192)+E(f20(x193,x191),f20(x193,x192))
% 0.19/0.79 [20]~E(x201,x202)+E(f81(x201),f81(x202))
% 0.19/0.79 [21]~E(x211,x212)+E(f4(x211,x213,x214),f4(x212,x213,x214))
% 0.19/0.79 [22]~E(x221,x222)+E(f4(x223,x221,x224),f4(x223,x222,x224))
% 0.19/0.79 [23]~E(x231,x232)+E(f4(x233,x234,x231),f4(x233,x234,x232))
% 0.19/0.79 [24]~E(x241,x242)+E(f27(x241,x243),f27(x242,x243))
% 0.19/0.79 [25]~E(x251,x252)+E(f27(x253,x251),f27(x253,x252))
% 0.19/0.79 [26]~E(x261,x262)+E(f70(x261,x263),f70(x262,x263))
% 0.19/0.79 [27]~E(x271,x272)+E(f70(x273,x271),f70(x273,x272))
% 0.19/0.79 [28]~E(x281,x282)+E(f8(x281,x283),f8(x282,x283))
% 0.19/0.79 [29]~E(x291,x292)+E(f8(x293,x291),f8(x293,x292))
% 0.19/0.79 [30]~E(x301,x302)+E(f28(x301,x303),f28(x302,x303))
% 0.19/0.79 [31]~E(x311,x312)+E(f28(x313,x311),f28(x313,x312))
% 0.19/0.79 [32]~E(x321,x322)+E(f74(x321,x323),f74(x322,x323))
% 0.19/0.79 [33]~E(x331,x332)+E(f74(x333,x331),f74(x333,x332))
% 0.19/0.79 [34]~E(x341,x342)+E(f66(x341),f66(x342))
% 0.19/0.79 [35]~E(x351,x352)+E(f31(x351,x353),f31(x352,x353))
% 0.19/0.79 [36]~E(x361,x362)+E(f31(x363,x361),f31(x363,x362))
% 0.19/0.79 [37]~E(x371,x372)+E(f67(x371),f67(x372))
% 0.19/0.79 [38]~E(x381,x382)+E(f69(x381,x383),f69(x382,x383))
% 0.19/0.79 [39]~E(x391,x392)+E(f69(x393,x391),f69(x393,x392))
% 0.19/0.79 [40]~E(x401,x402)+E(f52(x401),f52(x402))
% 0.19/0.79 [41]~E(x411,x412)+E(f92(x411),f92(x412))
% 0.19/0.79 [42]~E(x421,x422)+E(f24(x421,x423,x424,x425),f24(x422,x423,x424,x425))
% 0.19/0.79 [43]~E(x431,x432)+E(f24(x433,x431,x434,x435),f24(x433,x432,x434,x435))
% 0.19/0.79 [44]~E(x441,x442)+E(f24(x443,x444,x441,x445),f24(x443,x444,x442,x445))
% 0.19/0.79 [45]~E(x451,x452)+E(f24(x453,x454,x455,x451),f24(x453,x454,x455,x452))
% 0.19/0.79 [46]~E(x461,x462)+E(f12(x461,x463,x464),f12(x462,x463,x464))
% 0.19/0.79 [47]~E(x471,x472)+E(f12(x473,x471,x474),f12(x473,x472,x474))
% 0.19/0.79 [48]~E(x481,x482)+E(f12(x483,x484,x481),f12(x483,x484,x482))
% 0.19/0.79 [49]~E(x491,x492)+E(f10(x491,x493,x494,x495),f10(x492,x493,x494,x495))
% 0.19/0.79 [50]~E(x501,x502)+E(f10(x503,x501,x504,x505),f10(x503,x502,x504,x505))
% 0.19/0.79 [51]~E(x511,x512)+E(f10(x513,x514,x511,x515),f10(x513,x514,x512,x515))
% 0.19/0.79 [52]~E(x521,x522)+E(f10(x523,x524,x525,x521),f10(x523,x524,x525,x522))
% 0.19/0.79 [53]~E(x531,x532)+E(f5(x531,x533,x534),f5(x532,x533,x534))
% 0.19/0.79 [54]~E(x541,x542)+E(f5(x543,x541,x544),f5(x543,x542,x544))
% 0.19/0.79 [55]~E(x551,x552)+E(f5(x553,x554,x551),f5(x553,x554,x552))
% 0.19/0.79 [56]~E(x561,x562)+E(f71(x561,x563),f71(x562,x563))
% 0.19/0.79 [57]~E(x571,x572)+E(f71(x573,x571),f71(x573,x572))
% 0.19/0.79 [58]~E(x581,x582)+E(f43(x581,x583),f43(x582,x583))
% 0.19/0.79 [59]~E(x591,x592)+E(f43(x593,x591),f43(x593,x592))
% 0.19/0.79 [60]~E(x601,x602)+E(f11(x601,x603,x604),f11(x602,x603,x604))
% 0.19/0.79 [61]~E(x611,x612)+E(f11(x613,x611,x614),f11(x613,x612,x614))
% 0.19/0.79 [62]~E(x621,x622)+E(f11(x623,x624,x621),f11(x623,x624,x622))
% 0.19/0.79 [63]~E(x631,x632)+E(f59(x631),f59(x632))
% 0.19/0.79 [64]~E(x641,x642)+E(f95(x641),f95(x642))
% 0.19/0.79 [65]~E(x651,x652)+E(f30(x651,x653,x654),f30(x652,x653,x654))
% 0.19/0.79 [66]~E(x661,x662)+E(f30(x663,x661,x664),f30(x663,x662,x664))
% 0.19/0.79 [67]~E(x671,x672)+E(f30(x673,x674,x671),f30(x673,x674,x672))
% 0.19/0.79 [68]~E(x681,x682)+E(f25(x681,x683,x684,x685),f25(x682,x683,x684,x685))
% 0.19/0.79 [69]~E(x691,x692)+E(f25(x693,x691,x694,x695),f25(x693,x692,x694,x695))
% 0.19/0.79 [70]~E(x701,x702)+E(f25(x703,x704,x701,x705),f25(x703,x704,x702,x705))
% 0.19/0.79 [71]~E(x711,x712)+E(f25(x713,x714,x715,x711),f25(x713,x714,x715,x712))
% 0.19/0.79 [72]~E(x721,x722)+E(f29(x721,x723,x724),f29(x722,x723,x724))
% 0.19/0.79 [73]~E(x731,x732)+E(f29(x733,x731,x734),f29(x733,x732,x734))
% 0.19/0.79 [74]~E(x741,x742)+E(f29(x743,x744,x741),f29(x743,x744,x742))
% 0.19/0.79 [75]~E(x751,x752)+E(f68(x751),f68(x752))
% 0.19/0.79 [76]~E(x761,x762)+E(f17(x761,x763,x764,x765,x766),f17(x762,x763,x764,x765,x766))
% 0.19/0.79 [77]~E(x771,x772)+E(f17(x773,x771,x774,x775,x776),f17(x773,x772,x774,x775,x776))
% 0.19/0.79 [78]~E(x781,x782)+E(f17(x783,x784,x781,x785,x786),f17(x783,x784,x782,x785,x786))
% 0.19/0.79 [79]~E(x791,x792)+E(f17(x793,x794,x795,x791,x796),f17(x793,x794,x795,x792,x796))
% 0.19/0.79 [80]~E(x801,x802)+E(f17(x803,x804,x805,x806,x801),f17(x803,x804,x805,x806,x802))
% 0.19/0.79 [81]~E(x811,x812)+E(f53(x811),f53(x812))
% 0.19/0.79 [82]~E(x821,x822)+E(f47(x821),f47(x822))
% 0.19/0.79 [83]~E(x831,x832)+E(f85(x831),f85(x832))
% 0.19/0.79 [84]~E(x841,x842)+E(f64(x841),f64(x842))
% 0.19/0.79 [85]~E(x851,x852)+E(f84(x851),f84(x852))
% 0.19/0.79 [86]~E(x861,x862)+E(f37(x861),f37(x862))
% 0.19/0.79 [87]~E(x871,x872)+E(f91(x871),f91(x872))
% 0.19/0.79 [88]~E(x881,x882)+E(f50(x881),f50(x882))
% 0.19/0.79 [89]~E(x891,x892)+E(f60(x891),f60(x892))
% 0.19/0.79 [90]~E(x901,x902)+E(f14(x901,x903),f14(x902,x903))
% 0.19/0.79 [91]~E(x911,x912)+E(f14(x913,x911),f14(x913,x912))
% 0.19/0.79 [92]~E(x921,x922)+E(f9(x921,x923,x924),f9(x922,x923,x924))
% 0.19/0.79 [93]~E(x931,x932)+E(f9(x933,x931,x934),f9(x933,x932,x934))
% 0.19/0.79 [94]~E(x941,x942)+E(f9(x943,x944,x941),f9(x943,x944,x942))
% 0.19/0.79 [95]~E(x951,x952)+E(f58(x951),f58(x952))
% 0.19/0.79 [96]~E(x961,x962)+E(f18(x961,x963,x964,x965),f18(x962,x963,x964,x965))
% 0.19/0.79 [97]~E(x971,x972)+E(f18(x973,x971,x974,x975),f18(x973,x972,x974,x975))
% 0.19/0.79 [98]~E(x981,x982)+E(f18(x983,x984,x981,x985),f18(x983,x984,x982,x985))
% 0.19/0.79 [99]~E(x991,x992)+E(f18(x993,x994,x995,x991),f18(x993,x994,x995,x992))
% 0.19/0.79 [100]~E(x1001,x1002)+E(f34(x1001,x1003,x1004),f34(x1002,x1003,x1004))
% 0.19/0.79 [101]~E(x1011,x1012)+E(f34(x1013,x1011,x1014),f34(x1013,x1012,x1014))
% 0.19/0.79 [102]~E(x1021,x1022)+E(f34(x1023,x1024,x1021),f34(x1023,x1024,x1022))
% 0.19/0.79 [103]~E(x1031,x1032)+E(f87(x1031),f87(x1032))
% 0.19/0.79 [104]~E(x1041,x1042)+E(f90(x1041),f90(x1042))
% 0.19/0.79 [105]~E(x1051,x1052)+E(f57(x1051),f57(x1052))
% 0.19/0.79 [106]~E(x1061,x1062)+E(f73(x1061,x1063),f73(x1062,x1063))
% 0.19/0.79 [107]~E(x1071,x1072)+E(f73(x1073,x1071),f73(x1073,x1072))
% 0.19/0.79 [108]~E(x1081,x1082)+E(f38(x1081,x1083,x1084,x1085,x1086),f38(x1082,x1083,x1084,x1085,x1086))
% 0.19/0.79 [109]~E(x1091,x1092)+E(f38(x1093,x1091,x1094,x1095,x1096),f38(x1093,x1092,x1094,x1095,x1096))
% 0.19/0.79 [110]~E(x1101,x1102)+E(f38(x1103,x1104,x1101,x1105,x1106),f38(x1103,x1104,x1102,x1105,x1106))
% 0.19/0.79 [111]~E(x1111,x1112)+E(f38(x1113,x1114,x1115,x1111,x1116),f38(x1113,x1114,x1115,x1112,x1116))
% 0.19/0.79 [112]~E(x1121,x1122)+E(f38(x1123,x1124,x1125,x1126,x1121),f38(x1123,x1124,x1125,x1126,x1122))
% 0.19/0.79 [113]~E(x1131,x1132)+E(f33(x1131,x1133),f33(x1132,x1133))
% 0.19/0.79 [114]~E(x1141,x1142)+E(f33(x1143,x1141),f33(x1143,x1142))
% 0.19/0.79 [115]~E(x1151,x1152)+E(f44(x1151),f44(x1152))
% 0.19/0.79 [116]~E(x1161,x1162)+E(f36(x1161),f36(x1162))
% 0.19/0.79 [117]~E(x1171,x1172)+E(f61(x1171),f61(x1172))
% 0.19/0.79 [118]~E(x1181,x1182)+E(f56(x1181),f56(x1182))
% 0.19/0.79 [119]~E(x1191,x1192)+E(f55(x1191),f55(x1192))
% 0.19/0.79 [120]~E(x1201,x1202)+E(f26(x1201,x1203,x1204),f26(x1202,x1203,x1204))
% 0.19/0.79 [121]~E(x1211,x1212)+E(f26(x1213,x1211,x1214),f26(x1213,x1212,x1214))
% 0.19/0.79 [122]~E(x1221,x1222)+E(f26(x1223,x1224,x1221),f26(x1223,x1224,x1222))
% 0.19/0.79 [123]~E(x1231,x1232)+E(f94(x1231),f94(x1232))
% 0.19/0.79 [124]~E(x1241,x1242)+E(f48(x1241),f48(x1242))
% 0.19/0.79 [125]~E(x1251,x1252)+E(f35(x1251,x1253,x1254),f35(x1252,x1253,x1254))
% 0.19/0.79 [126]~E(x1261,x1262)+E(f35(x1263,x1261,x1264),f35(x1263,x1262,x1264))
% 0.19/0.79 [127]~E(x1271,x1272)+E(f35(x1273,x1274,x1271),f35(x1273,x1274,x1272))
% 0.19/0.79 [128]~E(x1281,x1282)+E(f72(x1281,x1283),f72(x1282,x1283))
% 0.19/0.79 [129]~E(x1291,x1292)+E(f72(x1293,x1291),f72(x1293,x1292))
% 0.19/0.79 [130]~E(x1301,x1302)+E(f77(x1301),f77(x1302))
% 0.19/0.79 [131]~E(x1311,x1312)+E(f21(x1311,x1313,x1314),f21(x1312,x1313,x1314))
% 0.19/0.79 [132]~E(x1321,x1322)+E(f21(x1323,x1321,x1324),f21(x1323,x1322,x1324))
% 0.19/0.79 [133]~E(x1331,x1332)+E(f21(x1333,x1334,x1331),f21(x1333,x1334,x1332))
% 0.19/0.79 [134]~E(x1341,x1342)+E(f49(x1341),f49(x1342))
% 0.19/0.79 [135]~E(x1351,x1352)+E(f76(x1351),f76(x1352))
% 0.19/0.79 [136]~E(x1361,x1362)+E(f93(x1361),f93(x1362))
% 0.19/0.79 [137]~E(x1371,x1372)+E(f46(x1371),f46(x1372))
% 0.19/0.79 [138]~E(x1381,x1382)+E(f16(x1381,x1383,x1384,x1385,x1386),f16(x1382,x1383,x1384,x1385,x1386))
% 0.19/0.79 [139]~E(x1391,x1392)+E(f16(x1393,x1391,x1394,x1395,x1396),f16(x1393,x1392,x1394,x1395,x1396))
% 0.19/0.79 [140]~E(x1401,x1402)+E(f16(x1403,x1404,x1401,x1405,x1406),f16(x1403,x1404,x1402,x1405,x1406))
% 0.19/0.79 [141]~E(x1411,x1412)+E(f16(x1413,x1414,x1415,x1411,x1416),f16(x1413,x1414,x1415,x1412,x1416))
% 0.19/0.79 [142]~E(x1421,x1422)+E(f16(x1423,x1424,x1425,x1426,x1421),f16(x1423,x1424,x1425,x1426,x1422))
% 0.19/0.79 [143]~E(x1431,x1432)+E(f62(x1431),f62(x1432))
% 0.19/0.79 [144]~E(x1441,x1442)+E(f79(x1441),f79(x1442))
% 0.19/0.79 [145]~E(x1451,x1452)+E(f86(x1451),f86(x1452))
% 0.19/0.79 [146]~E(x1461,x1462)+E(f51(x1461),f51(x1462))
% 0.19/0.79 [147]~E(x1471,x1472)+E(f63(x1471),f63(x1472))
% 0.19/0.79 [148]~E(x1481,x1482)+E(f88(x1481),f88(x1482))
% 0.19/0.79 [149]~E(x1491,x1492)+E(f54(x1491),f54(x1492))
% 0.19/0.79 [150]~E(x1501,x1502)+E(f89(x1501),f89(x1502))
% 0.19/0.79 [151]~E(x1511,x1512)+E(f15(x1511,x1513,x1514,x1515),f15(x1512,x1513,x1514,x1515))
% 0.19/0.79 [152]~E(x1521,x1522)+E(f15(x1523,x1521,x1524,x1525),f15(x1523,x1522,x1524,x1525))
% 0.19/0.79 [153]~E(x1531,x1532)+E(f15(x1533,x1534,x1531,x1535),f15(x1533,x1534,x1532,x1535))
% 0.19/0.79 [154]~E(x1541,x1542)+E(f15(x1543,x1544,x1545,x1541),f15(x1543,x1544,x1545,x1542))
% 0.19/0.79 [155]~E(x1551,x1552)+E(f32(x1551,x1553,x1554),f32(x1552,x1553,x1554))
% 0.19/0.79 [156]~E(x1561,x1562)+E(f32(x1563,x1561,x1564),f32(x1563,x1562,x1564))
% 0.19/0.79 [157]~E(x1571,x1572)+E(f32(x1573,x1574,x1571),f32(x1573,x1574,x1572))
% 0.19/0.79 [158]~E(x1581,x1582)+E(f78(x1581),f78(x1582))
% 0.19/0.79 [159]~E(x1591,x1592)+E(f7(x1591),f7(x1592))
% 0.19/0.79 [160]~E(x1601,x1602)+E(f23(x1601,x1603,x1604,x1605,x1606),f23(x1602,x1603,x1604,x1605,x1606))
% 0.19/0.79 [161]~E(x1611,x1612)+E(f23(x1613,x1611,x1614,x1615,x1616),f23(x1613,x1612,x1614,x1615,x1616))
% 0.19/0.79 [162]~E(x1621,x1622)+E(f23(x1623,x1624,x1621,x1625,x1626),f23(x1623,x1624,x1622,x1625,x1626))
% 0.19/0.79 [163]~E(x1631,x1632)+E(f23(x1633,x1634,x1635,x1631,x1636),f23(x1633,x1634,x1635,x1632,x1636))
% 0.19/0.79 [164]~E(x1641,x1642)+E(f23(x1643,x1644,x1645,x1646,x1641),f23(x1643,x1644,x1645,x1646,x1642))
% 0.19/0.79 [165]~E(x1651,x1652)+E(f45(x1651),f45(x1652))
% 0.19/0.79 [166]~E(x1661,x1662)+E(f83(x1661),f83(x1662))
% 0.19/0.79 [167]~E(x1671,x1672)+E(f82(x1671),f82(x1672))
% 0.19/0.79 [168]~E(x1681,x1682)+E(f75(x1681),f75(x1682))
% 0.19/0.79 [169]~E(x1691,x1692)+E(f65(x1691),f65(x1692))
% 0.19/0.79 [170]~P1(x1701)+P1(x1702)+~E(x1701,x1702)
% 0.19/0.79 [171]~P2(x1711)+P2(x1712)+~E(x1711,x1712)
% 0.19/0.79 [172]~P14(x1721)+P14(x1722)+~E(x1721,x1722)
% 0.19/0.79 [173]~P3(x1731)+P3(x1732)+~E(x1731,x1732)
% 0.19/0.79 [174]P12(x1742,x1743,x1744)+~E(x1741,x1742)+~P12(x1741,x1743,x1744)
% 0.19/0.79 [175]P12(x1753,x1752,x1754)+~E(x1751,x1752)+~P12(x1753,x1751,x1754)
% 0.19/0.79 [176]P12(x1763,x1764,x1762)+~E(x1761,x1762)+~P12(x1763,x1764,x1761)
% 0.19/0.79 [177]P4(x1772,x1773)+~E(x1771,x1772)+~P4(x1771,x1773)
% 0.19/0.79 [178]P4(x1783,x1782)+~E(x1781,x1782)+~P4(x1783,x1781)
% 0.19/0.79 [179]P6(x1792,x1793)+~E(x1791,x1792)+~P6(x1791,x1793)
% 0.19/0.79 [180]P6(x1803,x1802)+~E(x1801,x1802)+~P6(x1803,x1801)
% 0.19/0.79 [181]P11(x1812,x1813,x1814,x1815,x1816)+~E(x1811,x1812)+~P11(x1811,x1813,x1814,x1815,x1816)
% 0.19/0.79 [182]P11(x1823,x1822,x1824,x1825,x1826)+~E(x1821,x1822)+~P11(x1823,x1821,x1824,x1825,x1826)
% 0.19/0.79 [183]P11(x1833,x1834,x1832,x1835,x1836)+~E(x1831,x1832)+~P11(x1833,x1834,x1831,x1835,x1836)
% 0.19/0.79 [184]P11(x1843,x1844,x1845,x1842,x1846)+~E(x1841,x1842)+~P11(x1843,x1844,x1845,x1841,x1846)
% 0.19/0.79 [185]P11(x1853,x1854,x1855,x1856,x1852)+~E(x1851,x1852)+~P11(x1853,x1854,x1855,x1856,x1851)
% 0.19/0.79 [186]P7(x1862,x1863,x1864)+~E(x1861,x1862)+~P7(x1861,x1863,x1864)
% 0.19/0.79 [187]P7(x1873,x1872,x1874)+~E(x1871,x1872)+~P7(x1873,x1871,x1874)
% 0.19/0.79 [188]P7(x1883,x1884,x1882)+~E(x1881,x1882)+~P7(x1883,x1884,x1881)
% 0.19/0.79 [189]P9(x1892,x1893,x1894)+~E(x1891,x1892)+~P9(x1891,x1893,x1894)
% 0.19/0.79 [190]P9(x1903,x1902,x1904)+~E(x1901,x1902)+~P9(x1903,x1901,x1904)
% 0.19/0.79 [191]P9(x1913,x1914,x1912)+~E(x1911,x1912)+~P9(x1913,x1914,x1911)
% 0.19/0.79 [192]P8(x1922,x1923)+~E(x1921,x1922)+~P8(x1921,x1923)
% 0.19/0.79 [193]P8(x1933,x1932)+~E(x1931,x1932)+~P8(x1933,x1931)
% 0.19/0.79 [194]P13(x1942,x1943,x1944)+~E(x1941,x1942)+~P13(x1941,x1943,x1944)
% 0.19/0.79 [195]P13(x1953,x1952,x1954)+~E(x1951,x1952)+~P13(x1953,x1951,x1954)
% 0.19/0.79 [196]P13(x1963,x1964,x1962)+~E(x1961,x1962)+~P13(x1963,x1964,x1961)
% 0.19/0.79 [197]P10(x1972,x1973,x1974,x1975)+~E(x1971,x1972)+~P10(x1971,x1973,x1974,x1975)
% 0.19/0.79 [198]P10(x1983,x1982,x1984,x1985)+~E(x1981,x1982)+~P10(x1983,x1981,x1984,x1985)
% 0.19/0.79 [199]P10(x1993,x1994,x1992,x1995)+~E(x1991,x1992)+~P10(x1993,x1994,x1991,x1995)
% 0.19/0.79 [200]P10(x2003,x2004,x2005,x2002)+~E(x2001,x2002)+~P10(x2003,x2004,x2005,x2001)
% 0.19/0.79 [201]P5(x2012,x2013,x2014,x2015)+~E(x2011,x2012)+~P5(x2011,x2013,x2014,x2015)
% 0.19/0.79 [202]P5(x2023,x2022,x2024,x2025)+~E(x2021,x2022)+~P5(x2023,x2021,x2024,x2025)
% 0.19/0.79 [203]P5(x2033,x2034,x2032,x2035)+~E(x2031,x2032)+~P5(x2033,x2034,x2031,x2035)
% 0.19/0.79 [204]P5(x2043,x2044,x2045,x2042)+~E(x2041,x2042)+~P5(x2043,x2044,x2045,x2041)
% 0.19/0.79
% 0.19/0.79 %-------------------------------------------
% 0.19/0.79 cnf(534,plain,
% 0.19/0.79 ($false),
% 0.19/0.79 inference(scs_inference,[],[318,223]),
% 0.19/0.79 ['proof']).
% 0.19/0.79 % SZS output end Proof
% 0.19/0.79 % Total time :0.040000s
%------------------------------------------------------------------------------