%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWW478+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:08:07 AM UTC 2026
% Result : Theorem 0.55s 0.80s
% Output : Proof 0.55s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(gsy_c_SmallStep_Oassigned,axiom,
! [B_1_1,B_2_1] : is_bool(assigned(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_SmallStep_Oassigned) ).
fof(gsy_c_TypeRel_Owiden_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,axiom,
! [B_1_1,B_2_1,B_3] : is_bool(widen_2090681816t_char(B_1_1,B_2_1,B_3)),
file('theBenchmark.p',gsy_c_TypeRel_Owiden_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) ).
fof(gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri,axiom,
! [B_1_1,B_2_1] : is_bool(wf_pro755087577t_char(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri) ).
fof(gsy_c_WellTypeRT_OWTrt,axiom,
! [B_1_1,B_2_1,B_3,B_4,B_5] : is_bool(wTrt(B_1_1,B_2_1,B_3,B_4,B_5)),
file('theBenchmark.p',gsy_c_WellTypeRT_OWTrt) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] :
( is_bool(B_2_1)
=> is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1001225811y_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_001,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1033709212l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_001) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f61040418l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1708370145l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M) ).
fof(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P159683425l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P282169671l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) ).
fof(gsy_c_member_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,axiom,
! [B_1_1,B_2_1] : is_bool(member840932460on_val(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_member_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J) ).
fof(gsy_c_member_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_,axiom,
! [B_1_1,B_2_1] : is_bool(member763590124on_val(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_member_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_,hypothesis,
! [B_1_1,B_2_1] : is_bool(member773094996on_val(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_) ).
fof(fact_0_InitBlockRed_I3_J,axiom,
hAPP_l207779698on_val(l_a,v_1) = some_val(v_2),
file('theBenchmark.p',fact_0_InitBlockRed_I3_J) ).
fof(fact_1_InitBlockRed_I1_J,axiom,
hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
file('theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
fof(fact_2_fun__upd__triv,axiom,
! [F,X_1] : fun_up1149430426on_val(F,X_1,hAPP_l207779698on_val(F,X_1)) = F,
file('theBenchmark.p',fact_2_fun__upd__triv) ).
fof(fact_3_fun__upd__triv,axiom,
! [F,X_1] : fun_up424764369ion_ty(F,X_1,hAPP_l512744617ion_ty(F,X_1)) = F,
file('theBenchmark.p',fact_3_fun__upd__triv) ).
fof(fact_4_assms,axiom,
hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)),
file('theBenchmark.p',fact_4_assms) ).
fof(fact_5_map__upd__Some__unfold,axiom,
! [M,A_10,B_1,X_1,Y_1] :
( hAPP_l207779698on_val(fun_up1149430426on_val(M,A_10,some_val(B_1)),X_1) = some_val(Y_1)
<=> ( ( hAPP_l207779698on_val(M,X_1) = some_val(Y_1)
& X_1 != A_10 )
| ( B_1 = Y_1
& X_1 = A_10 ) ) ),
file('theBenchmark.p',fact_5_map__upd__Some__unfold) ).
fof(fact_6_map__upd__Some__unfold,axiom,
! [M,A_10,B_1,X_1,Y_1] :
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(M,A_10,some_ty(B_1)),X_1) = some_ty(Y_1)
<=> ( ( hAPP_l512744617ion_ty(M,X_1) = some_ty(Y_1)
& X_1 != A_10 )
| ( B_1 = Y_1
& X_1 = A_10 ) ) ),
file('theBenchmark.p',fact_6_map__upd__Some__unfold) ).
fof(fact_7_map__upd__triv,axiom,
! [T,K,X_1] :
( hAPP_l207779698on_val(T,K) = some_val(X_1)
=> fun_up1149430426on_val(T,K,some_val(X_1)) = T ),
file('theBenchmark.p',fact_7_map__upd__triv) ).
fof(fact_8_map__upd__triv,axiom,
! [T,K,X_1] :
( hAPP_l512744617ion_ty(T,K) = some_ty(X_1)
=> fun_up424764369ion_ty(T,K,some_ty(X_1)) = T ),
file('theBenchmark.p',fact_8_map__upd__triv) ).
fof(fact_9_map__upd__eqD1,axiom,
! [M,A_10,X_1,N,Y_1] :
( fun_up1149430426on_val(M,A_10,some_val(X_1)) = fun_up1149430426on_val(N,A_10,some_val(Y_1))
=> X_1 = Y_1 ),
file('theBenchmark.p',fact_9_map__upd__eqD1) ).
fof(fact_10_map__upd__eqD1,axiom,
! [M,A_10,X_1,N,Y_1] :
( fun_up424764369ion_ty(M,A_10,some_ty(X_1)) = fun_up424764369ion_ty(N,A_10,some_ty(Y_1))
=> X_1 = Y_1 ),
file('theBenchmark.p',fact_10_map__upd__eqD1) ).
fof(fact_11_InitBlockRed_I2_J,axiom,
! [Ta,Ea] :
( hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v)))))
=> ( hBOOL(wTrt(p,ha,Ea,ea,Ta))
=> ? [T_5] :
( hBOOL(widen_2090681816t_char(p,T_5,Ta))
& hBOOL(wTrt(p,h_a,Ea,e_a,T_5)) ) ) ),
file('theBenchmark.p',fact_11_InitBlockRed_I2_J) ).
fof(fact_12_prod__induct4,axiom,
! [X_1,Pa] :
( ! [A_15,B,C_1,D_1] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_1),D_1)))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_1)) ),
file('theBenchmark.p',fact_12_prod__induct4) ).
fof(fact_13_prod__cases4,axiom,
! [Y_1] :
~ ! [A_15,B,C_1,D_1] : Y_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_1),D_1))),
file('theBenchmark.p',fact_13_prod__cases4) ).
fof(fact_14_InitBlockRed_I4_J,axiom,
hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),
file('theBenchmark.p',fact_14_InitBlockRed_I4_J) ).
fof(fact_15_Pair__inject,axiom,
! [A_10,B_1,A_9,B_2] :
( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_9),B_2)
=> ~ ( A_10 = A_9
=> B_1 != B_2 ) ),
file('theBenchmark.p',fact_15_Pair__inject) ).
fof(fact_16_Pair__inject,axiom,
! [A_10,B_1,A_9,B_2] :
( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_9),B_2)
=> ~ ( A_10 = A_9
=> B_1 != B_2 ) ),
file('theBenchmark.p',fact_16_Pair__inject) ).
fof(fact_17_Pair__inject,axiom,
! [A_10,B_1,A_9,B_2] :
( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_9),B_2)
=> ~ ( A_10 = A_9
=> B_1 != B_2 ) ),
file('theBenchmark.p',fact_17_Pair__inject) ).
fof(fact_18_Pair__eq,axiom,
! [A_10,B_1,A_9,B_2] :
( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_9),B_2)
<=> ( B_1 = B_2
& A_10 = A_9 ) ),
file('theBenchmark.p',fact_18_Pair__eq) ).
fof(fact_19_Pair__eq,axiom,
! [A_10,B_1,A_9,B_2] :
( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_9),B_2)
<=> ( B_1 = B_2
& A_10 = A_9 ) ),
file('theBenchmark.p',fact_19_Pair__eq) ).
fof(fact_20_Pair__eq,axiom,
! [A_10,B_1,A_9,B_2] :
( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_9),B_2)
<=> ( B_1 = B_2
& A_10 = A_9 ) ),
file('theBenchmark.p',fact_20_Pair__eq) ).
fof(fact_21_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ! [A_15,B] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B))) ),
file('theBenchmark.p',fact_21_split__paired__All) ).
fof(fact_22_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ! [A_15,B] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B))) ),
file('theBenchmark.p',fact_22_split__paired__All) ).
fof(fact_23_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ! [A_15,B] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B))) ),
file('theBenchmark.p',fact_23_split__paired__All) ).
fof(fact_24_fun__upd__def,axiom,
! [F,B_1,A_10,X] :
( ( X != A_10
=> hAPP_l207779698on_val(fun_up1149430426on_val(F,A_10,B_1),X) = hAPP_l207779698on_val(F,X) )
& ( X = A_10
=> hAPP_l207779698on_val(fun_up1149430426on_val(F,A_10,B_1),X) = B_1 ) ),
file('theBenchmark.p',fact_24_fun__upd__def) ).
fof(fact_25_fun__upd__def,axiom,
! [F,B_1,A_10,X] :
( ( X != A_10
=> hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,A_10,B_1),X) = hAPP_l512744617ion_ty(F,X) )
& ( X = A_10
=> hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,A_10,B_1),X) = B_1 ) ),
file('theBenchmark.p',fact_25_fun__upd__def) ).
fof(fact_26_fun__upd__idem,axiom,
! [F,X_1,Y_1] :
( hAPP_l207779698on_val(F,X_1) = Y_1
=> fun_up1149430426on_val(F,X_1,Y_1) = F ),
file('theBenchmark.p',fact_26_fun__upd__idem) ).
fof(fact_27_fun__upd__idem,axiom,
! [F,X_1,Y_1] :
( hAPP_l512744617ion_ty(F,X_1) = Y_1
=> fun_up424764369ion_ty(F,X_1,Y_1) = F ),
file('theBenchmark.p',fact_27_fun__upd__idem) ).
fof(fact_28_fun__upd__other,axiom,
! [F,Y_1,Z,X_1] :
( Z != X_1
=> hAPP_l207779698on_val(fun_up1149430426on_val(F,X_1,Y_1),Z) = hAPP_l207779698on_val(F,Z) ),
file('theBenchmark.p',fact_28_fun__upd__other) ).
fof(fact_29_fun__upd__other,axiom,
! [F,Y_1,Z,X_1] :
( Z != X_1
=> hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,X_1,Y_1),Z) = hAPP_l512744617ion_ty(F,Z) ),
file('theBenchmark.p',fact_29_fun__upd__other) ).
fof(fact_30_fun__upd__twist,axiom,
! [M,B_1,D,A_10,C] :
( A_10 != C
=> fun_up1149430426on_val(fun_up1149430426on_val(M,A_10,B_1),C,D) = fun_up1149430426on_val(fun_up1149430426on_val(M,C,D),A_10,B_1) ),
file('theBenchmark.p',fact_30_fun__upd__twist) ).
fof(fact_31_fun__upd__twist,axiom,
! [M,B_1,D,A_10,C] :
( A_10 != C
=> fun_up424764369ion_ty(fun_up424764369ion_ty(M,A_10,B_1),C,D) = fun_up424764369ion_ty(fun_up424764369ion_ty(M,C,D),A_10,B_1) ),
file('theBenchmark.p',fact_31_fun__upd__twist) ).
fof(fact_32_fun__upd__apply,axiom,
! [F,Y_1,Z,X_1] :
( ( Z != X_1
=> hAPP_l207779698on_val(fun_up1149430426on_val(F,X_1,Y_1),Z) = hAPP_l207779698on_val(F,Z) )
& ( Z = X_1
=> hAPP_l207779698on_val(fun_up1149430426on_val(F,X_1,Y_1),Z) = Y_1 ) ),
file('theBenchmark.p',fact_32_fun__upd__apply) ).
fof(fact_33_fun__upd__apply,axiom,
! [F,Y_1,Z,X_1] :
( ( Z != X_1
=> hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,X_1,Y_1),Z) = hAPP_l512744617ion_ty(F,Z) )
& ( Z = X_1
=> hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,X_1,Y_1),Z) = Y_1 ) ),
file('theBenchmark.p',fact_33_fun__upd__apply) ).
fof(fact_34_fun__upd__same,axiom,
! [F,X_1,Y_1] : hAPP_l207779698on_val(fun_up1149430426on_val(F,X_1,Y_1),X_1) = Y_1,
file('theBenchmark.p',fact_34_fun__upd__same) ).
fof(fact_35_fun__upd__same,axiom,
! [F,X_1,Y_1] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,X_1,Y_1),X_1) = Y_1,
file('theBenchmark.p',fact_35_fun__upd__same) ).
fof(fact_36_fun__upd__upd,axiom,
! [F,X_1,Y_1,Z] : fun_up1149430426on_val(fun_up1149430426on_val(F,X_1,Y_1),X_1,Z) = fun_up1149430426on_val(F,X_1,Z),
file('theBenchmark.p',fact_36_fun__upd__upd) ).
fof(fact_37_fun__upd__upd,axiom,
! [F,X_1,Y_1,Z] : fun_up424764369ion_ty(fun_up424764369ion_ty(F,X_1,Y_1),X_1,Z) = fun_up424764369ion_ty(F,X_1,Z),
file('theBenchmark.p',fact_37_fun__upd__upd) ).
fof(fact_38_fun__upd__idem__iff,axiom,
! [F,X_1,Y_1] :
( fun_up1149430426on_val(F,X_1,Y_1) = F
<=> hAPP_l207779698on_val(F,X_1) = Y_1 ),
file('theBenchmark.p',fact_38_fun__upd__idem__iff) ).
fof(fact_39_fun__upd__idem__iff,axiom,
! [F,X_1,Y_1] :
( fun_up424764369ion_ty(F,X_1,Y_1) = F
<=> hAPP_l512744617ion_ty(F,X_1) = Y_1 ),
file('theBenchmark.p',fact_39_fun__upd__idem__iff) ).
fof(fact_40_widen__refl,axiom,
! [P_3,T_4] : hBOOL(widen_2090681816t_char(P_3,T_4,T_4)),
file('theBenchmark.p',fact_40_widen__refl) ).
fof(fact_41_red__preserves__hconf,axiom,
! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> ( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
=> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)) ) ) ),
file('theBenchmark.p',fact_41_red__preserves__hconf) ).
fof(fact_42_red__preserves__lconf,axiom,
! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> ( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)) ) ) ),
file('theBenchmark.p',fact_42_red__preserves__lconf) ).
fof(fact_43_prod__cases3,axiom,
! [Y_1] :
~ ! [A_15,B,C_1] : Y_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),C_1)),
file('theBenchmark.p',fact_43_prod__cases3) ).
fof(fact_44_prod__cases3,axiom,
! [Y_1] :
~ ! [A_15,B,C_1] : Y_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B),C_1)),
file('theBenchmark.p',fact_44_prod__cases3) ).
fof(fact_45_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_15,B,C_1] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),C_1))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_1)) ),
file('theBenchmark.p',fact_45_prod__induct3) ).
fof(fact_46_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_15,B,C_1] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B),C_1))))
=> hBOOL(hAPP_P1708370145l_bool(Pa,X_1)) ),
file('theBenchmark.p',fact_46_prod__induct3) ).
fof(fact_47_red__preserves__sconf,axiom,
! [Ea,Ta,Eb,S,E_b,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa)))
=> ( hBOOL(wTrt(Pa,hp(S),Ea,Eb,Ta))
=> ( hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(Pa,Ea),S))
=> hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(Pa,Ea),S_1)) ) ) ),
file('theBenchmark.p',fact_47_red__preserves__sconf) ).
fof(fact_48_pred__equals__eq2,axiom,
! [S_3,R_1] :
( ! [X,Xa] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa),R_1))
<=> hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa),S_3)) )
<=> R_1 = S_3 ),
file('theBenchmark.p',fact_48_pred__equals__eq2) ).
fof(fact_49_pred__equals__eq2,axiom,
! [S_3,R_1] :
( ! [X,Xa] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Xa),R_1))
<=> hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Xa),S_3)) )
<=> R_1 = S_3 ),
file('theBenchmark.p',fact_49_pred__equals__eq2) ).
fof(fact_50_pred__equals__eq2,axiom,
! [S_3,R_1] :
( ! [X,Xa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Xa),R_1))
<=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Xa),S_3)) )
<=> R_1 = S_3 ),
file('theBenchmark.p',fact_50_pred__equals__eq2) ).
fof(fact_51_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_15,B] : Y_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B),
file('theBenchmark.p',fact_51_prod_Oexhaust) ).
fof(fact_52_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_15,B] : Y_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B),
file('theBenchmark.p',fact_52_prod_Oexhaust) ).
fof(fact_53_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_15,B] : Y_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B),
file('theBenchmark.p',fact_53_prod_Oexhaust) ).
fof(fact_54_widen__trans,axiom,
! [T_3,P_2,S_2,U_1] :
( hBOOL(widen_2090681816t_char(P_2,S_2,U_1))
=> ( hBOOL(widen_2090681816t_char(P_2,U_1,T_3))
=> hBOOL(widen_2090681816t_char(P_2,S_2,T_3)) ) ),
file('theBenchmark.p',fact_54_widen__trans) ).
fof(fact_55_InitBlockRed_I5_J,axiom,
hBOOL(wTrt(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,val_list_char(v)),ea)),t)),
file('theBenchmark.p',fact_55_InitBlockRed_I5_J) ).
fof(fact_56_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ? [A_15,B] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B))) ),
file('theBenchmark.p',fact_56_split__paired__Ex) ).
fof(fact_57_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ? [A_15,B] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B))) ),
file('theBenchmark.p',fact_57_split__paired__Ex) ).
fof(fact_58_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ? [A_15,B] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B))) ),
file('theBenchmark.p',fact_58_split__paired__Ex) ).
fof(fact_59_PairE,axiom,
! [P_1] :
~ ! [X,Y] : P_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y),
file('theBenchmark.p',fact_59_PairE) ).
fof(fact_60_PairE,axiom,
! [P_1] :
~ ! [X,Y] : P_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y),
file('theBenchmark.p',fact_60_PairE) ).
fof(fact_61_PairE,axiom,
! [P_1] :
~ ! [X,Y] : P_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y),
file('theBenchmark.p',fact_61_PairE) ).
fof(fact_62_internal__split__conv,axiom,
! [C,A_10,B_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))
<=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C,A_10),B_1)) ),
file('theBenchmark.p',fact_62_internal__split__conv) ).
fof(fact_63_sconf__def,axiom,
! [Pa,Ea,S] :
( hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(Pa,Ea),S))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(Pa))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(Pa))),Ea))),S)) ),
file('theBenchmark.p',fact_63_sconf__def) ).
fof(fact_64_prod__caseI,axiom,
! [F1,A_10,B_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A_10),B_1))
=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1))) ),
file('theBenchmark.p',fact_64_prod__caseI) ).
fof(fact_65_prod__caseI,axiom,
! [F1,A_10,B_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A_10),B_1))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1))) ),
file('theBenchmark.p',fact_65_prod__caseI) ).
fof(fact_66_prod__caseI,axiom,
! [F1,A_10,B_1] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A_10),B_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1))) ),
file('theBenchmark.p',fact_66_prod__caseI) ).
fof(fact_67_splitI,axiom,
! [F,A_10,B_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A_10),B_1))
=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1))) ),
file('theBenchmark.p',fact_67_splitI) ).
fof(fact_68_splitI,axiom,
! [F,A_10,B_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A_10),B_1))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1))) ),
file('theBenchmark.p',fact_68_splitI) ).
fof(fact_69_splitI,axiom,
! [F,A_10,B_1] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A_10),B_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1))) ),
file('theBenchmark.p',fact_69_splitI) ).
fof(fact_70_splitD,axiom,
! [F,A_10,B_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1)))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A_10),B_1)) ),
file('theBenchmark.p',fact_70_splitD) ).
fof(fact_71_splitD,axiom,
! [F,A_10,B_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A_10),B_1)) ),
file('theBenchmark.p',fact_71_splitD) ).
fof(fact_72_splitD,axiom,
! [F,A_10,B_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A_10),B_1)) ),
file('theBenchmark.p',fact_72_splitD) ).
fof(fact_73_split__weak__cong,axiom,
! [C,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C),P_1))
<=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C),Q_2)) ) ),
file('theBenchmark.p',fact_73_split__weak__cong) ).
fof(fact_74_split__weak__cong,axiom,
! [C,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C),P_1))
<=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C),Q_2)) ) ),
file('theBenchmark.p',fact_74_split__weak__cong) ).
fof(fact_75_split__weak__cong,axiom,
! [C,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C),P_1))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C),Q_2)) ) ),
file('theBenchmark.p',fact_75_split__weak__cong) ).
fof(fact_76_internal__split__def,axiom,
produc399384568l_bool = produc1815960045l_bool,
file('theBenchmark.p',fact_76_internal__split__def) ).
fof(fact_77_internal__split__def,axiom,
produc1988544340l_bool = produc1911463199l_bool,
file('theBenchmark.p',fact_77_internal__split__def) ).
fof(fact_78_internal__split__def,axiom,
produc2128769400l_bool = produc1958875245l_bool,
file('theBenchmark.p',fact_78_internal__split__def) ).
fof(fact_79_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,G),P_1)))
<=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) ),
file('theBenchmark.p',fact_79_split__twice) ).
fof(fact_80_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,G),P_1)))
<=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) ),
file('theBenchmark.p',fact_80_split__twice) ).
fof(fact_81_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,F))),G)),P_1)) ),
file('theBenchmark.p',fact_81_split__twice) ).
fof(fact_82_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,F))),G)),P_1)) ),
file('theBenchmark.p',fact_82_split__twice) ).
fof(fact_83_split__part,axiom,
! [Pa,Q_1,X] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X))
<=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,Q_1),X))
& hBOOL(Pa) ) ),
file('theBenchmark.p',fact_83_split__part) ).
fof(fact_84_split__part,axiom,
! [Pa,Q_1,X] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X))
<=> ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,Q_1),X))
& hBOOL(Pa) ) ),
file('theBenchmark.p',fact_84_split__part) ).
fof(fact_85_split__part,axiom,
! [Pa,Q_1,X] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X))
<=> ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Q_1),X))
& hBOOL(Pa) ) ),
file('theBenchmark.p',fact_85_split__part) ).
fof(fact_86_prod_Osimps_I2_J,axiom,
! [F1,A_10,B_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))
<=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A_10),B_1)) ),
file('theBenchmark.p',fact_86_prod_Osimps_I2_J) ).
fof(fact_87_prod_Osimps_I2_J,axiom,
! [F1,A_10,B_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1)))
<=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A_10),B_1)) ),
file('theBenchmark.p',fact_87_prod_Osimps_I2_J) ).
fof(fact_88_prod_Osimps_I2_J,axiom,
! [F1,A_10,B_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A_10),B_1)) ),
file('theBenchmark.p',fact_88_prod_Osimps_I2_J) ).
fof(fact_89_split__conv,axiom,
! [F,A_10,B_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))
<=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A_10),B_1)) ),
file('theBenchmark.p',fact_89_split__conv) ).
fof(fact_90_split__conv,axiom,
! [F,A_10,B_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1)))
<=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A_10),B_1)) ),
file('theBenchmark.p',fact_90_split__conv) ).
fof(fact_91_split__conv,axiom,
! [F,A_10,B_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A_10),B_1)) ),
file('theBenchmark.p',fact_91_split__conv) ).
fof(fact_92_split__eta,axiom,
! [F] : hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,F)),produc899768717on_val)) = F,
file('theBenchmark.p',fact_92_split__eta) ).
fof(fact_93_split__eta,axiom,
! [F] : hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1342895119l_bool(hAPP_f639265145l_bool(cOMBB_364363975on_val,hAPP_f365540729l_bool(cOMBB_1466662571on_val,F)),produc1441475159on_val)) = F,
file('theBenchmark.p',fact_93_split__eta) ).
fof(fact_94_split__eta,axiom,
! [F] : hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f439412817l_bool(hAPP_f1725502637l_bool(cOMBB_1027621637t_char,hAPP_f10074679l_bool(cOMBB_1759207793on_val,F)),produc1259058957on_val)) = F,
file('theBenchmark.p',fact_94_split__eta) ).
fof(fact_95_red__reds_OInitBlockRed,axiom,
! [Ta,V_a,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,some_val(Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = some_val(V_a)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(V_a)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))),red(Pa))) ) ),
file('theBenchmark.p',fact_95_red__reds_OInitBlockRed) ).
fof(fact_96_red__reds_ORedInitBlock,axiom,
! [Va_1,Ta,Va,U,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),val_list_char(U)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(U)),S)),red(Pa))),
file('theBenchmark.p',fact_96_red__reds_ORedInitBlock) ).
fof(fact_97_splitI2,axiom,
! [C,P_1] :
( ! [A_15,B] :
( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B)
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C,A_15),B)) )
=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C),P_1)) ),
file('theBenchmark.p',fact_97_splitI2) ).
fof(fact_98_splitI2,axiom,
! [C,P_1] :
( ! [A_15,B] :
( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C,A_15),B)) )
=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C),P_1)) ),
file('theBenchmark.p',fact_98_splitI2) ).
fof(fact_99_splitI2,axiom,
! [C,P_1] :
( ! [A_15,B] :
( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B)
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C,A_15),B)) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C),P_1)) ),
file('theBenchmark.p',fact_99_splitI2) ).
fof(fact_100_splitE,axiom,
! [C,P_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C),P_1))
=> ~ ! [X,Y] :
( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y)
=> ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C,X),Y)) ) ),
file('theBenchmark.p',fact_100_splitE) ).
fof(fact_101_splitE,axiom,
! [C,P_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C),P_1))
=> ~ ! [X,Y] :
( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C,X),Y)) ) ),
file('theBenchmark.p',fact_101_splitE) ).
fof(fact_102_splitE,axiom,
! [C,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C),P_1))
=> ~ ! [X,Y] :
( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y)
=> ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C,X),Y)) ) ),
file('theBenchmark.p',fact_102_splitE) ).
fof(fact_103_WTrtBlock,axiom,
! [Pa,Hb,Ea,Va_1,Ta,Eb,T_a] :
( hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,some_ty(Ta)),Eb,T_a))
=> hBOOL(wTrt(Pa,Hb,Ea,block_list_char(Va_1,Ta,Eb),T_a)) ),
file('theBenchmark.p',fact_103_WTrtBlock) ).
fof(fact_104_mem__splitI,axiom,
! [Z,C,A_10,B_1] :
( hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(C,A_10),B_1)))
=> hBOOL(member763590124on_val(Z,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,C),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1)))) ),
file('theBenchmark.p',fact_104_mem__splitI) ).
fof(fact_105_mem__splitI,axiom,
! [Z,C,A_10,B_1] :
( hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(C,A_10),B_1)))
=> hBOOL(member840932460on_val(Z,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,C),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1)))) ),
file('theBenchmark.p',fact_105_mem__splitI) ).
fof(fact_106_mem__splitI,axiom,
! [Z,C,A_10,B_1] :
( hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(C,A_10),B_1)))
=> hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,C),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1)))) ),
file('theBenchmark.p',fact_106_mem__splitI) ).
fof(fact_107_mem__splitI,axiom,
! [Z,C,A_10,B_1] :
( hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(C,A_10),B_1)))
=> hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,C),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1)))) ),
file('theBenchmark.p',fact_107_mem__splitI) ).
fof(fact_108_mem__splitI,axiom,
! [Z,C,A_10,B_1] :
( hBOOL(member763590124on_val(Z,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(C,A_10),B_1)))
=> hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))) ),
file('theBenchmark.p',fact_108_mem__splitI) ).
fof(fact_109_mem__splitI,axiom,
! [Z,C,A_10,B_1] :
( hBOOL(member840932460on_val(Z,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(C,A_10),B_1)))
=> hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))) ),
file('theBenchmark.p',fact_109_mem__splitI) ).
fof(fact_110_WTrtSeq,axiom,
! [E_2,T_2,Pa,Hb,Ea,E_1,T_1] :
( hBOOL(wTrt(Pa,Hb,Ea,E_1,T_1))
=> ( hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2))
=> hBOOL(wTrt(Pa,Hb,Ea,seq_list_char(E_1,E_2),T_2)) ) ),
file('theBenchmark.p',fact_110_WTrtSeq) ).
fof(fact_111_red__reds_OSeqRed,axiom,
! [E_2,Eb,S,E_b,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_1)),red(Pa))) ),
file('theBenchmark.p',fact_111_red__reds_OSeqRed) ).
fof(fact_112_red__reds_OLAssRed,axiom,
! [Va_1,Eb,S,E_b,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,E_b)),S_1)),red(Pa))) ),
file('theBenchmark.p',fact_112_red__reds_OLAssRed) ).
fof(fact_113_red__reds_ORedSeq,axiom,
! [Va,E_2,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(val_list_char(Va),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S)),red(Pa))),
file('theBenchmark.p',fact_113_red__reds_ORedSeq) ).
fof(fact_114_red__reds_ORedBlock,axiom,
! [Va_1,Ta,U,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,val_list_char(U))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(U)),S)),red(Pa))),
file('theBenchmark.p',fact_114_red__reds_ORedBlock) ).
fof(fact_115_mem__splitE,axiom,
! [Z,C,P_1] :
( hBOOL(member763590124on_val(Z,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,C),P_1)))
=> ~ ! [X,Y] :
( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y)
=> ~ hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(C,X),Y))) ) ),
file('theBenchmark.p',fact_115_mem__splitE) ).
fof(fact_116_mem__splitE,axiom,
! [Z,C,P_1] :
( hBOOL(member840932460on_val(Z,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,C),P_1)))
=> ~ ! [X,Y] :
( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y)
=> ~ hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(C,X),Y))) ) ),
file('theBenchmark.p',fact_116_mem__splitE) ).
fof(fact_117_mem__splitE,axiom,
! [Z,C,P_1] :
( hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,C),P_1)))
=> ~ ! [X,Y] :
( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y)
=> ~ hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(C,X),Y))) ) ),
file('theBenchmark.p',fact_117_mem__splitE) ).
fof(fact_118_mem__splitE,axiom,
! [Z,C,P_1] :
( hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,C),P_1)))
=> ~ ! [X,Y] :
( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y)
=> ~ hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(C,X),Y))) ) ),
file('theBenchmark.p',fact_118_mem__splitE) ).
fof(fact_119_mem__splitE,axiom,
! [Z,C,P_1] :
( hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,C),P_1)))
=> ~ ! [X,Y] :
( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y)
=> ~ hBOOL(member763590124on_val(Z,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(C,X),Y))) ) ),
file('theBenchmark.p',fact_119_mem__splitE) ).
fof(fact_120_mem__splitE,axiom,
! [Z,C,P_1] :
( hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,C),P_1)))
=> ~ ! [X,Y] :
( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y)
=> ~ hBOOL(member840932460on_val(Z,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(C,X),Y))) ) ),
file('theBenchmark.p',fact_120_mem__splitE) ).
fof(fact_121_mem__splitI2,axiom,
! [Z,C,P_1] :
( ! [A_15,B] :
( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B)
=> hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(C,A_15),B))) )
=> hBOOL(member763590124on_val(Z,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,C),P_1))) ),
file('theBenchmark.p',fact_121_mem__splitI2) ).
fof(fact_122_mem__splitI2,axiom,
! [Z,C,P_1] :
( ! [A_15,B] :
( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B)
=> hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(C,A_15),B))) )
=> hBOOL(member840932460on_val(Z,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,C),P_1))) ),
file('theBenchmark.p',fact_122_mem__splitI2) ).
fof(fact_123_mem__splitI2,axiom,
! [Z,C,P_1] :
( ! [A_15,B] :
( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B)
=> hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(C,A_15),B))) )
=> hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,C),P_1))) ),
file('theBenchmark.p',fact_123_mem__splitI2) ).
fof(fact_124_mem__splitI2,axiom,
! [Z,C,P_1] :
( ! [A_15,B] :
( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B)
=> hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(C,A_15),B))) )
=> hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,C),P_1))) ),
file('theBenchmark.p',fact_124_mem__splitI2) ).
fof(fact_125_mem__splitI2,axiom,
! [Z,C,P_1] :
( ! [A_15,B] :
( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B)
=> hBOOL(member763590124on_val(Z,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(C,A_15),B))) )
=> hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,C),P_1))) ),
file('theBenchmark.p',fact_125_mem__splitI2) ).
fof(fact_126_mem__splitI2,axiom,
! [Z,C,P_1] :
( ! [A_15,B] :
( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B)
=> hBOOL(member840932460on_val(Z,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(C,A_15),B))) )
=> hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,C),P_1))) ),
file('theBenchmark.p',fact_126_mem__splitI2) ).
fof(fact_127_red__reds_ORedLAss,axiom,
! [Va_1,Va,Hb,Lb,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,val_list_char(Va))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,some_val(Va))))),red(Pa))),
file('theBenchmark.p',fact_127_red__reds_ORedLAss) ).
fof(fact_128_cond__split__eta,axiom,
! [G,F] :
( ! [X,Y] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,X),Y))
<=> hBOOL(hAPP_P159683425l_bool(G,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y))) )
=> hAPP_f2121594859l_bool(produc1958875245l_bool,F) = G ),
file('theBenchmark.p',fact_128_cond__split__eta) ).
fof(fact_129_cond__split__eta,axiom,
! [G,F] :
( ! [X,Y] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,X),Y))
<=> hBOOL(hAPP_P282169671l_bool(G,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y))) )
=> hAPP_f635218277l_bool(produc1911463199l_bool,F) = G ),
file('theBenchmark.p',fact_129_cond__split__eta) ).
fof(fact_130_cond__split__eta,axiom,
! [G,F] :
( ! [X,Y] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,X),Y))
<=> hBOOL(hAPP_P1708370145l_bool(G,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y))) )
=> hAPP_f1930574389l_bool(produc1815960045l_bool,F) = G ),
file('theBenchmark.p',fact_130_cond__split__eta) ).
fof(fact_131_splitE2,axiom,
! [Q_1,Pa,Z] :
( hBOOL(hAPP_bool_bool(Q_1,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Pa),Z)))
=> ~ ! [X,Y] :
( Z = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y)
=> ~ hBOOL(hAPP_bool_bool(Q_1,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,X),Y))) ) ),
file('theBenchmark.p',fact_131_splitE2) ).
fof(fact_132_splitE2,axiom,
! [Q_1,Pa,Z] :
( hBOOL(hAPP_bool_bool(Q_1,hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,Pa),Z)))
=> ~ ! [X,Y] :
( Z = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y)
=> ~ hBOOL(hAPP_bool_bool(Q_1,hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,X),Y))) ) ),
file('theBenchmark.p',fact_132_splitE2) ).
fof(fact_133_splitE2,axiom,
! [Q_1,Pa,Z] :
( hBOOL(hAPP_bool_bool(Q_1,hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,Pa),Z)))
=> ~ ! [X,Y] :
( Z = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y)
=> ~ hBOOL(hAPP_bool_bool(Q_1,hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,X),Y))) ) ),
file('theBenchmark.p',fact_133_splitE2) ).
fof(fact_134_exp_Osimps_I143_J,axiom,
! [A_14,Ty_7,Exp_13,A_13,Exp_12] : block_list_char(A_14,Ty_7,Exp_13) != lAss_list_char(A_13,Exp_12),
file('theBenchmark.p',fact_134_exp_Osimps_I143_J) ).
fof(fact_135_exp_Osimps_I196_J,axiom,
! [A_12,Ty_6,Exp_11,Exp1_7,Exp2_7] : block_list_char(A_12,Ty_6,Exp_11) != seq_list_char(Exp1_7,Exp2_7),
file('theBenchmark.p',fact_135_exp_Osimps_I196_J) ).
fof(fact_136_exp_Osimps_I3_J,axiom,
! [Val_7,Val_6] :
( val_list_char(Val_7) = val_list_char(Val_6)
<=> Val_7 = Val_6 ),
file('theBenchmark.p',fact_136_exp_Osimps_I3_J) ).
fof(fact_137_exp_Osimps_I11_J,axiom,
! [Exp1_6,Exp2_6,Exp1_5,Exp2_5] :
( seq_list_char(Exp1_6,Exp2_6) = seq_list_char(Exp1_5,Exp2_5)
<=> ( Exp2_6 = Exp2_5
& Exp1_6 = Exp1_5 ) ),
file('theBenchmark.p',fact_137_exp_Osimps_I11_J) ).
fof(fact_138_exp_Osimps_I6_J,axiom,
! [A_10,Exp_10,A_9,Exp_9] :
( lAss_list_char(A_10,Exp_10) = lAss_list_char(A_9,Exp_9)
<=> ( Exp_10 = Exp_9
& A_10 = A_9 ) ),
file('theBenchmark.p',fact_138_exp_Osimps_I6_J) ).
fof(fact_139_mem__def,axiom,
! [X_1,A_11] :
( hBOOL(member763590124on_val(X_1,A_11))
<=> hBOOL(hAPP_P159683425l_bool(A_11,X_1)) ),
file('theBenchmark.p',fact_139_mem__def) ).
fof(fact_140_mem__def,axiom,
! [X_1,A_11] :
( hBOOL(member840932460on_val(X_1,A_11))
<=> hBOOL(hAPP_P1708370145l_bool(A_11,X_1)) ),
file('theBenchmark.p',fact_140_mem__def) ).
fof(fact_141_mem__def,axiom,
! [X_1,A_11] :
( hBOOL(member773094996on_val(X_1,A_11))
<=> hBOOL(hAPP_P282169671l_bool(A_11,X_1)) ),
file('theBenchmark.p',fact_141_mem__def) ).
fof(fact_142_exp_Osimps_I10_J,axiom,
! [A_10,Ty_5,Exp_10,A_9,Ty_4,Exp_9] :
( block_list_char(A_10,Ty_5,Exp_10) = block_list_char(A_9,Ty_4,Exp_9)
<=> ( Exp_10 = Exp_9
& Ty_5 = Ty_4
& A_10 = A_9 ) ),
file('theBenchmark.p',fact_142_exp_Osimps_I10_J) ).
fof(fact_143_exp_Osimps_I84_J,axiom,
! [Val_5,Exp1_4,Exp2_4] : val_list_char(Val_5) != seq_list_char(Exp1_4,Exp2_4),
file('theBenchmark.p',fact_143_exp_Osimps_I84_J) ).
fof(fact_144_exp_Osimps_I74_J,axiom,
! [Val_4,A_8,Exp_8] : val_list_char(Val_4) != lAss_list_char(A_8,Exp_8),
file('theBenchmark.p',fact_144_exp_Osimps_I74_J) ).
fof(fact_145_exp_Osimps_I85_J,axiom,
! [Exp1_3,Exp2_3,Val_3] : seq_list_char(Exp1_3,Exp2_3) != val_list_char(Val_3),
file('theBenchmark.p',fact_145_exp_Osimps_I85_J) ).
fof(fact_146_exp_Osimps_I75_J,axiom,
! [A_7,Exp_7,Val_2] : lAss_list_char(A_7,Exp_7) != val_list_char(Val_2),
file('theBenchmark.p',fact_146_exp_Osimps_I75_J) ).
fof(fact_147_exp_Osimps_I82_J,axiom,
! [Val_1,A_6,Ty_3,Exp_6] : val_list_char(Val_1) != block_list_char(A_6,Ty_3,Exp_6),
file('theBenchmark.p',fact_147_exp_Osimps_I82_J) ).
fof(fact_148_exp_Osimps_I83_J,axiom,
! [A_5,Ty_2,Exp_5,Val] : block_list_char(A_5,Ty_2,Exp_5) != val_list_char(Val),
file('theBenchmark.p',fact_148_exp_Osimps_I83_J) ).
fof(fact_149_exp_Osimps_I145_J,axiom,
! [Exp1_2,Exp2_2,A_4,Exp_4] : seq_list_char(Exp1_2,Exp2_2) != lAss_list_char(A_4,Exp_4),
file('theBenchmark.p',fact_149_exp_Osimps_I145_J) ).
fof(fact_150_exp_Osimps_I144_J,axiom,
! [A_3,Exp_3,Exp1_1,Exp2_1] : lAss_list_char(A_3,Exp_3) != seq_list_char(Exp1_1,Exp2_1),
file('theBenchmark.p',fact_150_exp_Osimps_I144_J) ).
fof(fact_151_exp_Osimps_I197_J,axiom,
! [Exp1,Exp2,A_2,Ty_1,Exp_2] : seq_list_char(Exp1,Exp2) != block_list_char(A_2,Ty_1,Exp_2),
file('theBenchmark.p',fact_151_exp_Osimps_I197_J) ).
fof(fact_152_exp_Osimps_I142_J,axiom,
! [A_1,Exp_1,A,Ty,Exp] : lAss_list_char(A_1,Exp_1) != block_list_char(A,Ty,Exp),
file('theBenchmark.p',fact_152_exp_Osimps_I142_J) ).
fof(fact_153_redp__redsp_OInitBlockRed,axiom,
! [Ta,V_a,Pa,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,some_val(Va)))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = some_val(V_a)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(V_a)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))) ) ),
file('theBenchmark.p',fact_153_redp__redsp_OInitBlockRed) ).
fof(fact_154_red__reds_OBlockRedSome,axiom,
! [Ta,Va,Eb,Hb,Lb,Va_1,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = some_val(Va)
=> ( ~ hBOOL(assigned(Va_1,Eb))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))),red(Pa))) ) ) ),
file('theBenchmark.p',fact_154_red__reds_OBlockRedSome) ).
fof(fact_155_redp__redsp_OSeqRed,axiom,
! [E_2,Pa,Eb,S,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Eb,E_2),S),seq_list_char(E_b,E_2)),S_1)) ),
file('theBenchmark.p',fact_155_redp__redsp_OSeqRed) ).
fof(fact_156_redp__redsp_OLAssRed,axiom,
! [Va_1,Pa,Eb,S,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,Eb),S),lAss_list_char(Va_1,E_b)),S_1)) ),
file('theBenchmark.p',fact_156_redp__redsp_OLAssRed) ).
fof(fact_157_redp__redsp_OBlockRedNone,axiom,
! [Ta,Pa,Eb,Hb,Lb,Va_1,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = none_val
=> ( ~ hBOOL(assigned(Va_1,Eb))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))) ) ) ),
file('theBenchmark.p',fact_157_redp__redsp_OBlockRedNone) ).
fof(fact_158_redp__redsp_ORedSeq,axiom,
! [Pa,Va,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(val_list_char(Va),E_2),S),E_2),S)),
file('theBenchmark.p',fact_158_redp__redsp_ORedSeq) ).
fof(fact_159_map__upd__nonempty,axiom,
! [T,K,X_1] :
~ ! [X] : hAPP_l207779698on_val(fun_up1149430426on_val(T,K,some_val(X_1)),X) = none_val,
file('theBenchmark.p',fact_159_map__upd__nonempty) ).
fof(fact_160_map__upd__nonempty,axiom,
! [T,K,X_1] :
~ ! [X] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(T,K,some_ty(X_1)),X) = none_ty,
file('theBenchmark.p',fact_160_map__upd__nonempty) ).
fof(fact_161_redp__redsp_ORedBlock,axiom,
! [Pa,Va_1,Ta,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,val_list_char(U)),S),val_list_char(U)),S)),
file('theBenchmark.p',fact_161_redp__redsp_ORedBlock) ).
fof(fact_162_empty__upd__none,axiom,
! [X_1,X] : hAPP_l207779698on_val(fun_up1149430426on_val(cOMBK_1097134891t_char(none_val),X_1,none_val),X) = none_val,
file('theBenchmark.p',fact_162_empty__upd__none) ).
fof(fact_163_empty__upd__none,axiom,
! [X_1,X] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(cOMBK_1294242658t_char(none_ty),X_1,none_ty),X) = none_ty,
file('theBenchmark.p',fact_163_empty__upd__none) ).
fof(fact_164_redp__redsp_OBlockRedSome,axiom,
! [Ta,Va,Pa,Eb,Hb,Lb,Va_1,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = some_val(Va)
=> ( ~ hBOOL(assigned(Va_1,Eb))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))) ) ) ),
file('theBenchmark.p',fact_164_redp__redsp_OBlockRedSome) ).
fof(fact_165_redp__red__eq,axiom,
! [Pa,X,Xa,Xb,Xc] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,X,Xa),Xb),Xc))
<=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xb),Xc)),red(Pa))) ),
file('theBenchmark.p',fact_165_redp__red__eq) ).
fof(fact_166_redp__redsp_ORedInitBlock,axiom,
! [Pa,Va_1,Ta,Va,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),val_list_char(U))),S),val_list_char(U)),S)),
file('theBenchmark.p',fact_166_redp__redsp_ORedInitBlock) ).
fof(help_fconj_1_1_U,axiom,
! [Q,P] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
| ~ hBOOL(Q)
| ~ hBOOL(P) ),
file('theBenchmark.p',help_fconj_1_1_U) ).
fof(help_fconj_2_1_U,axiom,
! [P,Q] :
( hBOOL(P)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ),
file('theBenchmark.p',help_fconj_2_1_U) ).
fof(help_fconj_3_1_U,axiom,
! [P,Q] :
( hBOOL(Q)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ),
file('theBenchmark.p',help_fconj_3_1_U) ).
fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__List__Olist_,axiom,
! [P,Q] : hAPP_l512744617ion_ty(cOMBK_1294242658t_char(P),Q) = P,
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__List__Olist_) ).
fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__List__Olis,axiom,
! [P,Q] : hAPP_l207779698on_val(cOMBK_1097134891t_char(P),Q) = P,
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__List__Olis) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__List__O,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_f1033709212l_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__List__O) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,P),Q),R) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(P,R),Q),
file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
! [P,Q,R] : hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_f61040418l_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__fun_It,axiom,
! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f2134824737l_bool(hAPP_f1308714617l_bool(cOMBB_338347573on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_P159683425l_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__fun_It) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__Expr__,axiom,
! [P,Q,R] : hAPP_P1708370145l_bool(hAPP_f926562337l_bool(hAPP_f1560238713l_bool(cOMBB_672625589on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_P1708370145l_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__Expr__) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,P),Q),R) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(P,R),Q),
file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_f1727192346on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,P),Q),R) = hAPP_f1074020887l_bool(P,hAPP_f1175813647l_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M) ).
fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(cOMBS_570216337l_bool(P,Q),R) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(P,R),hAPP_f1175813647l_bool(Q,R)),
file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f318082871l_bool(hAPP_f1233687287l_bool(cOMBB_171276332on_val,P),Q),R) = hAPP_P1708370145l_bool(P,hAPP_f1926378906on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc,axiom,
! [P,Q,R] : hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,P),Q),R) = hAPP_f1863694447l_bool(P,hAPP_f1145256474l_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_002,axiom,
! [P,Q,R] : hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,P),Q),R) = hAPP_f181262431l_bool(P,hAPP_f1213370163y_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_002) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_003,axiom,
! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f1301559543l_bool(hAPP_f1825030711l_bool(cOMBB_877741809on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P1776198677on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_003) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O_004,axiom,
! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f489055607l_bool(hAPP_f10074679l_bool(cOMBB_1759207793on_val,P),Q),R) = hAPP_P1708370145l_bool(P,hAPP_P604205461on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O_004) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_005,axiom,
! [P,Q,R] : hAPP_P1708370145l_bool(hAPP_f1712766199l_bool(hAPP_f881985847l_bool(cOMBB_1083177073on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P789556885on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_005) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O,axiom,
! [P,Q,R] : hAPP_e1833980889l_bool(hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,P),Q),R) = hAPP_f2134824737l_bool(P,hAPP_e1833980889l_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_006,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,P),Q),R) = hAPP_f1008932791l_bool(P,hAPP_f1849790461on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_006) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_007,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,P),Q),R) = hAPP_f318082871l_bool(P,hAPP_f1840640125on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_007) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f524589473l_bool(hAPP_f2052660463l_bool(cOMBB_1292453606on_val,P),Q),R) = hAPP_P282169671l_bool(P,hAPP_f602593190on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_008,axiom,
! [P,Q,R] : hAPP_e1833980889l_bool(hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,P),Q),R) = hAPP_f1301559543l_bool(P,hAPP_e108155315on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_008) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_009,axiom,
! [P,Q,R] : hAPP_e1833980889l_bool(hAPP_f439412817l_bool(hAPP_f1725502637l_bool(cOMBB_1027621637t_char,P),Q),R) = hAPP_f489055607l_bool(P,hAPP_e1659493427on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_009) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__010,axiom,
! [P,Q,R] : hAPP_P1708370145l_bool(hAPP_f204771371l_bool(hAPP_f365540729l_bool(cOMBB_1466662571on_val,P),Q),R) = hAPP_P282169671l_bool(P,hAPP_P1886180715on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__010) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__,axiom,
! [P,Q,R] : hAPP_P1116729363l_bool(hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,P),Q),R) = hAPP_f926562337l_bool(P,hAPP_P1116729363l_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_011,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,P),Q),R) = hAPP_f524589473l_bool(P,hAPP_f600512025on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_011) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___012,axiom,
! [P,Q,R] : hAPP_P1116729363l_bool(hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,P),Q),R) = hAPP_f1712766199l_bool(P,hAPP_P2083594489on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___012) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___013,axiom,
! [P,Q,R] : hAPP_P1116729363l_bool(hAPP_f1342895119l_bool(hAPP_f639265145l_bool(cOMBB_364363975on_val,P),Q),R) = hAPP_f204771371l_bool(P,hAPP_P1870962205on_val(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___013) ).
fof(conj_0,conjecture,
hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
file('theBenchmark.p',conj_0) ).
fof(f_1_1,plain,
! [B_1_1,B_2_1] : is_bool(assigned(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_SmallStep_Oassigned]) ).
fof(f_1_2,plain,
! [U_1,U_0] : is_bool(assigned(U_1,U_0)),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
is_bool(assigned(U_1,U_0)),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [B_1_1,B_2_1,B_3] : is_bool(widen_2090681816t_char(B_1_1,B_2_1,B_3)),
inference(fof_nnf,[status(thm)],[gsy_c_TypeRel_Owiden_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__]) ).
fof(f_2_2,plain,
! [U_4,U_3,U_2] : is_bool(widen_2090681816t_char(U_4,U_3,U_2)),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
is_bool(widen_2090681816t_char(U_4,U_3,U_2)),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [B_1_1,B_2_1] : is_bool(wf_pro755087577t_char(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri]) ).
fof(f_3_2,plain,
! [U_6,U_5] : is_bool(wf_pro755087577t_char(U_6,U_5)),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
is_bool(wf_pro755087577t_char(U_6,U_5)),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [B_1_1,B_2_1,B_3,B_4,B_5] : is_bool(wTrt(B_1_1,B_2_1,B_3,B_4,B_5)),
inference(fof_nnf,[status(thm)],[gsy_c_WellTypeRT_OWTrt]) ).
fof(f_4_2,plain,
! [U_11,U_10,U_9,U_8,U_7] : is_bool(wTrt(U_11,U_10,U_9,U_8,U_7)),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
is_bool(wTrt(U_11,U_10,U_9,U_8,U_7)),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_bool_bool(B_1_1,B_2_1))
| ~ is_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool]) ).
fof(f_5_2,plain,
! [U_13,U_12] :
( is_bool(hAPP_bool_bool(U_13,U_12))
| ~ is_bool(U_12) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( is_bool(hAPP_bool_bool(U_13,U_12))
| ~ is_bool(U_12) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f1001225811y_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption]) ).
fof(f_6_2,plain,
! [U_15,U_14] : is_bool(hAPP_f1001225811y_bool(U_15,U_14)),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
is_bool(hAPP_f1001225811y_bool(U_15,U_14)),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f1033709212l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_001]) ).
fof(f_7_2,plain,
! [U_17,U_16] : is_bool(hAPP_f1033709212l_bool(U_17,U_16)),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
is_bool(hAPP_f1033709212l_bool(U_17,U_16)),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f61040418l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O]) ).
fof(f_8_2,plain,
! [U_19,U_18] : is_bool(hAPP_f61040418l_bool(U_19,U_18)),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
is_bool(hAPP_f61040418l_bool(U_19,U_18)),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_P1708370145l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M]) ).
fof(f_9_2,plain,
! [U_21,U_20] : is_bool(hAPP_P1708370145l_bool(U_21,U_20)),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
is_bool(hAPP_P1708370145l_bool(U_21,U_20)),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_P159683425l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It]) ).
fof(f_10_2,plain,
! [U_23,U_22] : is_bool(hAPP_P159683425l_bool(U_23,U_22)),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
is_bool(hAPP_P159683425l_bool(U_23,U_22)),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_P282169671l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O]) ).
fof(f_11_2,plain,
! [U_25,U_24] : is_bool(hAPP_P282169671l_bool(U_25,U_24)),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
is_bool(hAPP_P282169671l_bool(U_25,U_24)),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [B_1_1,B_2_1] : is_bool(member840932460on_val(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_member_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J]) ).
fof(f_12_2,plain,
! [U_27,U_26] : is_bool(member840932460on_val(U_27,U_26)),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
is_bool(member840932460on_val(U_27,U_26)),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [B_1_1,B_2_1] : is_bool(member763590124on_val(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_member_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_]) ).
fof(f_13_2,plain,
! [U_29,U_28] : is_bool(member763590124on_val(U_29,U_28)),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
is_bool(member763590124on_val(U_29,U_28)),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
! [B_1_1,B_2_1] : is_bool(member773094996on_val(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_]) ).
fof(f_14_2,plain,
! [U_31,U_30] : is_bool(member773094996on_val(U_31,U_30)),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
is_bool(member773094996on_val(U_31,U_30)),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
hAPP_l207779698on_val(l_a,v_1) = some_val(v_2),
inference(fof_nnf,[status(thm)],[fact_0_InitBlockRed_I3_J]) ).
cnf(f_15_2,plain,
hAPP_l207779698on_val(l_a,v_1) = some_val(v_2),
inference(clausify,[status(thm)],[f_15_1]) ).
fof(f_16_1,plain,
hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
inference(fof_nnf,[status(thm)],[fact_1_InitBlockRed_I1_J]) ).
cnf(f_16_2,plain,
hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
inference(clausify,[status(thm)],[f_16_1]) ).
fof(f_17_1,plain,
! [F,X_1] : fun_up1149430426on_val(F,X_1,hAPP_l207779698on_val(F,X_1)) = F,
inference(fof_nnf,[status(thm)],[fact_2_fun__upd__triv]) ).
fof(f_17_2,plain,
! [U_33,U_32] : fun_up1149430426on_val(U_33,U_32,hAPP_l207779698on_val(U_33,U_32)) = U_33,
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
fun_up1149430426on_val(U_33,U_32,hAPP_l207779698on_val(U_33,U_32)) = U_33,
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [F,X_1] : fun_up424764369ion_ty(F,X_1,hAPP_l512744617ion_ty(F,X_1)) = F,
inference(fof_nnf,[status(thm)],[fact_3_fun__upd__triv]) ).
fof(f_18_2,plain,
! [U_35,U_34] : fun_up424764369ion_ty(U_35,U_34,hAPP_l512744617ion_ty(U_35,U_34)) = U_35,
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
fun_up424764369ion_ty(U_35,U_34,hAPP_l512744617ion_ty(U_35,U_34)) = U_35,
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)),
inference(fof_nnf,[status(thm)],[fact_4_assms]) ).
cnf(f_19_2,plain,
hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)),
inference(clausify,[status(thm)],[f_19_1]) ).
fof(f_20_1,plain,
! [M,A_10,B_1,X_1,Y_1] :
( ( hAPP_l207779698on_val(fun_up1149430426on_val(M,A_10,some_val(B_1)),X_1) = some_val(Y_1)
| ( ( hAPP_l207779698on_val(M,X_1) != some_val(Y_1)
| X_1 = A_10 )
& ( B_1 != Y_1
| X_1 != A_10 ) ) )
& ( ( hAPP_l207779698on_val(M,X_1) = some_val(Y_1)
& X_1 != A_10 )
| ( B_1 = Y_1
& X_1 = A_10 )
| hAPP_l207779698on_val(fun_up1149430426on_val(M,A_10,some_val(B_1)),X_1) != some_val(Y_1) ) ),
inference(fof_nnf,[status(thm)],[fact_5_map__upd__Some__unfold]) ).
fof(f_20_2,plain,
! [U_40,U_39,U_38,U_37,U_36] :
( ( hAPP_l207779698on_val(fun_up1149430426on_val(U_40,U_39,some_val(U_38)),U_37) = some_val(U_36)
| ( ( hAPP_l207779698on_val(U_40,U_37) != some_val(U_36)
| U_37 = U_39 )
& ( U_38 != U_36
| U_37 != U_39 ) ) )
& ( ( hAPP_l207779698on_val(U_40,U_37) = some_val(U_36)
& U_37 != U_39 )
| ( U_38 = U_36
& U_37 = U_39 )
| hAPP_l207779698on_val(fun_up1149430426on_val(U_40,U_39,some_val(U_38)),U_37) != some_val(U_36) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
( ! [U_50,U_48,U_46,U_44,U_42] :
( hAPP_l207779698on_val(fun_up1149430426on_val(U_50,U_48,some_val(U_46)),U_44) = some_val(U_42)
| ( ( hAPP_l207779698on_val(U_50,U_44) != some_val(U_42)
| U_44 = U_48 )
& ( U_46 != U_42
| U_44 != U_48 ) ) )
& ! [U_49,U_47,U_45,U_43,U_41] :
( ( hAPP_l207779698on_val(U_49,U_43) = some_val(U_41)
& U_43 != U_47 )
| ( U_45 = U_41
& U_43 = U_47 )
| hAPP_l207779698on_val(fun_up1149430426on_val(U_49,U_47,some_val(U_45)),U_43) != some_val(U_41) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
cnf(f_20_4,plain,
( U_43 != U_47
| U_43 = U_47
| hAPP_l207779698on_val(fun_up1149430426on_val(U_49,U_47,some_val(U_45)),U_43) != some_val(U_41) ),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_5,plain,
( hAPP_l207779698on_val(U_49,U_43) = some_val(U_41)
| U_43 = U_47
| hAPP_l207779698on_val(fun_up1149430426on_val(U_49,U_47,some_val(U_45)),U_43) != some_val(U_41) ),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_6,plain,
( U_43 != U_47
| U_45 = U_41
| hAPP_l207779698on_val(fun_up1149430426on_val(U_49,U_47,some_val(U_45)),U_43) != some_val(U_41) ),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_7,plain,
( hAPP_l207779698on_val(U_49,U_43) = some_val(U_41)
| U_45 = U_41
| hAPP_l207779698on_val(fun_up1149430426on_val(U_49,U_47,some_val(U_45)),U_43) != some_val(U_41) ),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_8,plain,
( U_46 != U_42
| U_44 != U_48
| hAPP_l207779698on_val(fun_up1149430426on_val(U_50,U_48,some_val(U_46)),U_44) = some_val(U_42) ),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_9,plain,
( hAPP_l207779698on_val(U_50,U_44) != some_val(U_42)
| U_44 = U_48
| hAPP_l207779698on_val(fun_up1149430426on_val(U_50,U_48,some_val(U_46)),U_44) = some_val(U_42) ),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_1,plain,
! [M,A_10,B_1,X_1,Y_1] :
( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(M,A_10,some_ty(B_1)),X_1) = some_ty(Y_1)
| ( ( hAPP_l512744617ion_ty(M,X_1) != some_ty(Y_1)
| X_1 = A_10 )
& ( B_1 != Y_1
| X_1 != A_10 ) ) )
& ( ( hAPP_l512744617ion_ty(M,X_1) = some_ty(Y_1)
& X_1 != A_10 )
| ( B_1 = Y_1
& X_1 = A_10 )
| hAPP_l512744617ion_ty(fun_up424764369ion_ty(M,A_10,some_ty(B_1)),X_1) != some_ty(Y_1) ) ),
inference(fof_nnf,[status(thm)],[fact_6_map__upd__Some__unfold]) ).
fof(f_21_2,plain,
! [U_55,U_54,U_53,U_52,U_51] :
( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_55,U_54,some_ty(U_53)),U_52) = some_ty(U_51)
| ( ( hAPP_l512744617ion_ty(U_55,U_52) != some_ty(U_51)
| U_52 = U_54 )
& ( U_53 != U_51
| U_52 != U_54 ) ) )
& ( ( hAPP_l512744617ion_ty(U_55,U_52) = some_ty(U_51)
& U_52 != U_54 )
| ( U_53 = U_51
& U_52 = U_54 )
| hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_55,U_54,some_ty(U_53)),U_52) != some_ty(U_51) ) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
( ! [U_65,U_63,U_61,U_59,U_57] :
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_65,U_63,some_ty(U_61)),U_59) = some_ty(U_57)
| ( ( hAPP_l512744617ion_ty(U_65,U_59) != some_ty(U_57)
| U_59 = U_63 )
& ( U_61 != U_57
| U_59 != U_63 ) ) )
& ! [U_64,U_62,U_60,U_58,U_56] :
( ( hAPP_l512744617ion_ty(U_64,U_58) = some_ty(U_56)
& U_58 != U_62 )
| ( U_60 = U_56
& U_58 = U_62 )
| hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_64,U_62,some_ty(U_60)),U_58) != some_ty(U_56) ) ),
inference(miniscope,[status(thm)],[f_21_2]) ).
cnf(f_21_4,plain,
( U_58 != U_62
| U_58 = U_62
| hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_64,U_62,some_ty(U_60)),U_58) != some_ty(U_56) ),
inference(clausify,[status(thm)],[f_21_3]) ).
cnf(f_21_5,plain,
( hAPP_l512744617ion_ty(U_64,U_58) = some_ty(U_56)
| U_58 = U_62
| hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_64,U_62,some_ty(U_60)),U_58) != some_ty(U_56) ),
inference(clausify,[status(thm)],[f_21_3]) ).
cnf(f_21_6,plain,
( U_58 != U_62
| U_60 = U_56
| hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_64,U_62,some_ty(U_60)),U_58) != some_ty(U_56) ),
inference(clausify,[status(thm)],[f_21_3]) ).
cnf(f_21_7,plain,
( hAPP_l512744617ion_ty(U_64,U_58) = some_ty(U_56)
| U_60 = U_56
| hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_64,U_62,some_ty(U_60)),U_58) != some_ty(U_56) ),
inference(clausify,[status(thm)],[f_21_3]) ).
cnf(f_21_8,plain,
( U_61 != U_57
| U_59 != U_63
| hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_65,U_63,some_ty(U_61)),U_59) = some_ty(U_57) ),
inference(clausify,[status(thm)],[f_21_3]) ).
cnf(f_21_9,plain,
( hAPP_l512744617ion_ty(U_65,U_59) != some_ty(U_57)
| U_59 = U_63
| hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_65,U_63,some_ty(U_61)),U_59) = some_ty(U_57) ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
! [T,K,X_1] :
( fun_up1149430426on_val(T,K,some_val(X_1)) = T
| hAPP_l207779698on_val(T,K) != some_val(X_1) ),
inference(fof_nnf,[status(thm)],[fact_7_map__upd__triv]) ).
fof(f_22_2,plain,
! [U_68,U_67,U_66] :
( fun_up1149430426on_val(U_68,U_67,some_val(U_66)) = U_68
| hAPP_l207779698on_val(U_68,U_67) != some_val(U_66) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
cnf(f_22_3,plain,
( fun_up1149430426on_val(U_68,U_67,some_val(U_66)) = U_68
| hAPP_l207779698on_val(U_68,U_67) != some_val(U_66) ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [T,K,X_1] :
( fun_up424764369ion_ty(T,K,some_ty(X_1)) = T
| hAPP_l512744617ion_ty(T,K) != some_ty(X_1) ),
inference(fof_nnf,[status(thm)],[fact_8_map__upd__triv]) ).
fof(f_23_2,plain,
! [U_71,U_70,U_69] :
( fun_up424764369ion_ty(U_71,U_70,some_ty(U_69)) = U_71
| hAPP_l512744617ion_ty(U_71,U_70) != some_ty(U_69) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( fun_up424764369ion_ty(U_71,U_70,some_ty(U_69)) = U_71
| hAPP_l512744617ion_ty(U_71,U_70) != some_ty(U_69) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
! [M,A_10,X_1,N,Y_1] :
( X_1 = Y_1
| fun_up1149430426on_val(M,A_10,some_val(X_1)) != fun_up1149430426on_val(N,A_10,some_val(Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_9_map__upd__eqD1]) ).
fof(f_24_2,plain,
! [U_76,U_75,U_74,U_73,U_72] :
( U_74 = U_72
| fun_up1149430426on_val(U_76,U_75,some_val(U_74)) != fun_up1149430426on_val(U_73,U_75,some_val(U_72)) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( U_74 = U_72
| fun_up1149430426on_val(U_76,U_75,some_val(U_74)) != fun_up1149430426on_val(U_73,U_75,some_val(U_72)) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
! [M,A_10,X_1,N,Y_1] :
( X_1 = Y_1
| fun_up424764369ion_ty(M,A_10,some_ty(X_1)) != fun_up424764369ion_ty(N,A_10,some_ty(Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_10_map__upd__eqD1]) ).
fof(f_25_2,plain,
! [U_81,U_80,U_79,U_78,U_77] :
( U_79 = U_77
| fun_up424764369ion_ty(U_81,U_80,some_ty(U_79)) != fun_up424764369ion_ty(U_78,U_80,some_ty(U_77)) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( U_79 = U_77
| fun_up424764369ion_ty(U_81,U_80,some_ty(U_79)) != fun_up424764369ion_ty(U_78,U_80,some_ty(U_77)) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
! [Ta,Ea] :
( ? [T_5] :
( hBOOL(widen_2090681816t_char(p,T_5,Ta))
& hBOOL(wTrt(p,h_a,Ea,e_a,T_5)) )
| ~ hBOOL(wTrt(p,ha,Ea,ea,Ta))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))) ),
inference(fof_nnf,[status(thm)],[fact_11_InitBlockRed_I2_J]) ).
fof(f_26_2,plain,
! [U_84,U_83] :
( ? [U_82] :
( hBOOL(widen_2090681816t_char(p,U_82,U_84))
& hBOOL(wTrt(p,h_a,U_83,e_a,U_82)) )
| ~ hBOOL(wTrt(p,ha,U_83,ea,U_84))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(p,U_83),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
! [U_84,U_83] :
( ( hBOOL(widen_2090681816t_char(p,sK1(U_84,U_83),U_84))
& hBOOL(wTrt(p,h_a,U_83,e_a,sK1(U_84,U_83))) )
| ~ hBOOL(wTrt(p,ha,U_83,ea,U_84))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(p,U_83),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_82,sK1(U_84,U_83))],[f_26_2]) ).
cnf(f_26_4,plain,
( hBOOL(wTrt(p,h_a,U_83,e_a,sK1(U_84,U_83)))
| ~ hBOOL(wTrt(p,ha,U_83,ea,U_84))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(p,U_83),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))) ),
inference(clausify,[status(thm)],[f_26_3]) ).
cnf(f_26_5,plain,
( hBOOL(widen_2090681816t_char(p,sK1(U_84,U_83),U_84))
| ~ hBOOL(wTrt(p,ha,U_83,ea,U_84))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(p,U_83),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))) ),
inference(clausify,[status(thm)],[f_26_3]) ).
fof(f_27_1,plain,
! [X_1,Pa] :
( hBOOL(hAPP_P282169671l_bool(Pa,X_1))
| ? [A_15,B,C_1,D_1] : ~ hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_1),D_1))))) ),
inference(fof_nnf,[status(thm)],[fact_12_prod__induct4]) ).
fof(f_27_2,plain,
! [U_90,U_89] :
( hBOOL(hAPP_P282169671l_bool(U_89,U_90))
| ? [U_88,U_87,U_86,U_85] : ~ hBOOL(hAPP_P282169671l_bool(U_89,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_88),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_87),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_86),U_85))))) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_90,U_89] :
( hBOOL(hAPP_P282169671l_bool(U_89,U_90))
| ? [U_87,U_86,U_85] : ~ hBOOL(hAPP_P282169671l_bool(U_89,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK2(U_90,U_89)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_87),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_86),U_85))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_88,sK2(U_90,U_89))],[f_27_2]) ).
fof(f_27_4,plain,
! [U_90,U_89] :
( hBOOL(hAPP_P282169671l_bool(U_89,U_90))
| ? [U_86,U_85] : ~ hBOOL(hAPP_P282169671l_bool(U_89,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK2(U_90,U_89)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK3(U_90,U_89)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_86),U_85))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_87,sK3(U_90,U_89))],[f_27_3]) ).
fof(f_27_5,plain,
! [U_90,U_89] :
( hBOOL(hAPP_P282169671l_bool(U_89,U_90))
| ? [U_85] : ~ hBOOL(hAPP_P282169671l_bool(U_89,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK2(U_90,U_89)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK3(U_90,U_89)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK4(U_90,U_89)),U_85))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_86,sK4(U_90,U_89))],[f_27_4]) ).
fof(f_27_6,plain,
! [U_90,U_89] :
( hBOOL(hAPP_P282169671l_bool(U_89,U_90))
| ~ hBOOL(hAPP_P282169671l_bool(U_89,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK2(U_90,U_89)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK3(U_90,U_89)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK4(U_90,U_89)),sK5(U_90,U_89)))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_85,sK5(U_90,U_89))],[f_27_5]) ).
cnf(f_27_7,plain,
( hBOOL(hAPP_P282169671l_bool(U_89,U_90))
| ~ hBOOL(hAPP_P282169671l_bool(U_89,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK2(U_90,U_89)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK3(U_90,U_89)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK4(U_90,U_89)),sK5(U_90,U_89)))))) ),
inference(clausify,[status(thm)],[f_27_6]) ).
fof(f_28_1,plain,
! [Y_1] :
? [A_15,B,C_1,D_1] : Y_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_1),D_1))),
inference(fof_nnf,[status(thm)],[fact_13_prod__cases4]) ).
fof(f_28_2,plain,
! [U_95] :
? [U_94,U_93,U_92,U_91] : U_95 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_94),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_93),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_92),U_91))),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
! [U_95] :
? [U_93,U_92,U_91] : U_95 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK6(U_95)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_93),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_92),U_91))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_94,sK6(U_95))],[f_28_2]) ).
fof(f_28_4,plain,
! [U_95] :
? [U_92,U_91] : U_95 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK6(U_95)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK7(U_95)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_92),U_91))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_93,sK7(U_95))],[f_28_3]) ).
fof(f_28_5,plain,
! [U_95] :
? [U_91] : U_95 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK6(U_95)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK7(U_95)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK8(U_95)),U_91))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_92,sK8(U_95))],[f_28_4]) ).
fof(f_28_6,plain,
! [U_95] : U_95 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK6(U_95)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK7(U_95)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK8(U_95)),sK9(U_95)))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_91,sK9(U_95))],[f_28_5]) ).
cnf(f_28_7,plain,
U_95 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK6(U_95)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK7(U_95)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK8(U_95)),sK9(U_95)))),
inference(clausify,[status(thm)],[f_28_6]) ).
fof(f_29_1,plain,
hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),
inference(fof_nnf,[status(thm)],[fact_14_InitBlockRed_I4_J]) ).
cnf(f_29_2,plain,
hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),
inference(clausify,[status(thm)],[f_29_1]) ).
fof(f_30_1,plain,
! [A_10,B_1,A_9,B_2] :
( ( B_1 = B_2
& A_10 = A_9 )
| hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_9),B_2) ),
inference(fof_nnf,[status(thm)],[fact_15_Pair__inject]) ).
fof(f_30_2,plain,
! [U_99,U_98,U_97,U_96] :
( ( U_98 = U_96
& U_99 = U_97 )
| hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_99),U_98) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_97),U_96) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( U_99 = U_97
| hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_99),U_98) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_97),U_96) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_4,plain,
( U_98 = U_96
| hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_99),U_98) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_97),U_96) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [A_10,B_1,A_9,B_2] :
( ( B_1 = B_2
& A_10 = A_9 )
| hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_9),B_2) ),
inference(fof_nnf,[status(thm)],[fact_16_Pair__inject]) ).
fof(f_31_2,plain,
! [U_103,U_102,U_101,U_100] :
( ( U_102 = U_100
& U_103 = U_101 )
| hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_103),U_102) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_101),U_100) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( U_103 = U_101
| hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_103),U_102) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_101),U_100) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_4,plain,
( U_102 = U_100
| hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_103),U_102) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_101),U_100) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [A_10,B_1,A_9,B_2] :
( ( B_1 = B_2
& A_10 = A_9 )
| hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_9),B_2) ),
inference(fof_nnf,[status(thm)],[fact_17_Pair__inject]) ).
fof(f_32_2,plain,
! [U_107,U_106,U_105,U_104] :
( ( U_106 = U_104
& U_107 = U_105 )
| hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_107),U_106) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_105),U_104) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( U_107 = U_105
| hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_107),U_106) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_105),U_104) ),
inference(clausify,[status(thm)],[f_32_2]) ).
cnf(f_32_4,plain,
( U_106 = U_104
| hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_107),U_106) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_105),U_104) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
! [A_10,B_1,A_9,B_2] :
( ( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_9),B_2)
| B_1 != B_2
| A_10 != A_9 )
& ( ( B_1 = B_2
& A_10 = A_9 )
| hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_9),B_2) ) ),
inference(fof_nnf,[status(thm)],[fact_18_Pair__eq]) ).
fof(f_33_2,plain,
! [U_111,U_110,U_109,U_108] :
( ( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_111),U_110) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_109),U_108)
| U_110 != U_108
| U_111 != U_109 )
& ( ( U_110 = U_108
& U_111 = U_109 )
| hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_111),U_110) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_109),U_108) ) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( ! [U_119,U_117,U_115,U_113] :
( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_119),U_117) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_115),U_113)
| U_117 != U_113
| U_119 != U_115 )
& ! [U_118,U_116,U_114,U_112] :
( ( U_116 = U_112
& U_118 = U_114 )
| hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_118),U_116) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_114),U_112) ) ),
inference(miniscope,[status(thm)],[f_33_2]) ).
cnf(f_33_4,plain,
( U_118 = U_114
| hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_118),U_116) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_114),U_112) ),
inference(clausify,[status(thm)],[f_33_3]) ).
cnf(f_33_5,plain,
( U_116 = U_112
| hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_118),U_116) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_114),U_112) ),
inference(clausify,[status(thm)],[f_33_3]) ).
cnf(f_33_6,plain,
( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_119),U_117) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_115),U_113)
| U_117 != U_113
| U_119 != U_115 ),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_34_1,plain,
! [A_10,B_1,A_9,B_2] :
( ( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_9),B_2)
| B_1 != B_2
| A_10 != A_9 )
& ( ( B_1 = B_2
& A_10 = A_9 )
| hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_9),B_2) ) ),
inference(fof_nnf,[status(thm)],[fact_19_Pair__eq]) ).
fof(f_34_2,plain,
! [U_123,U_122,U_121,U_120] :
( ( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_123),U_122) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_121),U_120)
| U_122 != U_120
| U_123 != U_121 )
& ( ( U_122 = U_120
& U_123 = U_121 )
| hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_123),U_122) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_121),U_120) ) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
( ! [U_131,U_129,U_127,U_125] :
( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_131),U_129) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_127),U_125)
| U_129 != U_125
| U_131 != U_127 )
& ! [U_130,U_128,U_126,U_124] :
( ( U_128 = U_124
& U_130 = U_126 )
| hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_130),U_128) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_126),U_124) ) ),
inference(miniscope,[status(thm)],[f_34_2]) ).
cnf(f_34_4,plain,
( U_130 = U_126
| hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_130),U_128) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_126),U_124) ),
inference(clausify,[status(thm)],[f_34_3]) ).
cnf(f_34_5,plain,
( U_128 = U_124
| hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_130),U_128) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_126),U_124) ),
inference(clausify,[status(thm)],[f_34_3]) ).
cnf(f_34_6,plain,
( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_131),U_129) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_127),U_125)
| U_129 != U_125
| U_131 != U_127 ),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_1,plain,
! [A_10,B_1,A_9,B_2] :
( ( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_9),B_2)
| B_1 != B_2
| A_10 != A_9 )
& ( ( B_1 = B_2
& A_10 = A_9 )
| hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_9),B_2) ) ),
inference(fof_nnf,[status(thm)],[fact_20_Pair__eq]) ).
fof(f_35_2,plain,
! [U_135,U_134,U_133,U_132] :
( ( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_135),U_134) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_133),U_132)
| U_134 != U_132
| U_135 != U_133 )
& ( ( U_134 = U_132
& U_135 = U_133 )
| hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_135),U_134) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_133),U_132) ) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
( ! [U_143,U_141,U_139,U_137] :
( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_143),U_141) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_139),U_137)
| U_141 != U_137
| U_143 != U_139 )
& ! [U_142,U_140,U_138,U_136] :
( ( U_140 = U_136
& U_142 = U_138 )
| hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_142),U_140) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_138),U_136) ) ),
inference(miniscope,[status(thm)],[f_35_2]) ).
cnf(f_35_4,plain,
( U_142 = U_138
| hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_142),U_140) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_138),U_136) ),
inference(clausify,[status(thm)],[f_35_3]) ).
cnf(f_35_5,plain,
( U_140 = U_136
| hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_142),U_140) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_138),U_136) ),
inference(clausify,[status(thm)],[f_35_3]) ).
cnf(f_35_6,plain,
( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_143),U_141) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_139),U_137)
| U_141 != U_137
| U_143 != U_139 ),
inference(clausify,[status(thm)],[f_35_3]) ).
fof(f_36_1,plain,
! [Pa] :
( ( ! [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
| ? [A_15,B] : ~ hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B))) )
& ( ! [A_15,B] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B)))
| ? [X1] : ~ hBOOL(hAPP_P282169671l_bool(Pa,X1)) ) ),
inference(fof_nnf,[status(thm)],[fact_21_split__paired__All]) ).
fof(f_36_2,plain,
! [U_150] :
( ( ! [U_149] : hBOOL(hAPP_P282169671l_bool(U_150,U_149))
| ? [U_148,U_147] : ~ hBOOL(hAPP_P282169671l_bool(U_150,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_148),U_147))) )
& ( ! [U_146,U_145] : hBOOL(hAPP_P282169671l_bool(U_150,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_146),U_145)))
| ? [U_144] : ~ hBOOL(hAPP_P282169671l_bool(U_150,U_144)) ) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
( ! [U_152] :
( ! [U_149] : hBOOL(hAPP_P282169671l_bool(U_152,U_149))
| ? [U_148,U_147] : ~ hBOOL(hAPP_P282169671l_bool(U_152,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_148),U_147))) )
& ! [U_151] :
( ! [U_146,U_145] : hBOOL(hAPP_P282169671l_bool(U_151,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_146),U_145)))
| ? [U_144] : ~ hBOOL(hAPP_P282169671l_bool(U_151,U_144)) ) ),
inference(miniscope,[status(thm)],[f_36_2]) ).
fof(f_36_4,plain,
( ! [U_152] :
( ! [U_149] : hBOOL(hAPP_P282169671l_bool(U_152,U_149))
| ? [U_148,U_147] : ~ hBOOL(hAPP_P282169671l_bool(U_152,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_148),U_147))) )
& ! [U_151] :
( ! [U_146,U_145] : hBOOL(hAPP_P282169671l_bool(U_151,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_146),U_145)))
| ~ hBOOL(hAPP_P282169671l_bool(U_151,sK10(U_151))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_144,sK10(U_151))],[f_36_3]) ).
fof(f_36_5,plain,
( ! [U_152] :
( ! [U_149] : hBOOL(hAPP_P282169671l_bool(U_152,U_149))
| ? [U_147] : ~ hBOOL(hAPP_P282169671l_bool(U_152,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK11(U_152)),U_147))) )
& ! [U_151] :
( ! [U_146,U_145] : hBOOL(hAPP_P282169671l_bool(U_151,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_146),U_145)))
| ~ hBOOL(hAPP_P282169671l_bool(U_151,sK10(U_151))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_148,sK11(U_152))],[f_36_4]) ).
fof(f_36_6,plain,
( ! [U_152] :
( ! [U_149] : hBOOL(hAPP_P282169671l_bool(U_152,U_149))
| ~ hBOOL(hAPP_P282169671l_bool(U_152,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK11(U_152)),sK12(U_152)))) )
& ! [U_151] :
( ! [U_146,U_145] : hBOOL(hAPP_P282169671l_bool(U_151,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_146),U_145)))
| ~ hBOOL(hAPP_P282169671l_bool(U_151,sK10(U_151))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_147,sK12(U_152))],[f_36_5]) ).
cnf(f_36_7,plain,
( hBOOL(hAPP_P282169671l_bool(U_151,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_146),U_145)))
| ~ hBOOL(hAPP_P282169671l_bool(U_151,sK10(U_151))) ),
inference(clausify,[status(thm)],[f_36_6]) ).
cnf(f_36_8,plain,
( hBOOL(hAPP_P282169671l_bool(U_152,U_149))
| ~ hBOOL(hAPP_P282169671l_bool(U_152,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK11(U_152)),sK12(U_152)))) ),
inference(clausify,[status(thm)],[f_36_6]) ).
fof(f_37_1,plain,
! [Pa] :
( ( ! [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
| ? [A_15,B] : ~ hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B))) )
& ( ! [A_15,B] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B)))
| ? [X1] : ~ hBOOL(hAPP_P1708370145l_bool(Pa,X1)) ) ),
inference(fof_nnf,[status(thm)],[fact_22_split__paired__All]) ).
fof(f_37_2,plain,
! [U_159] :
( ( ! [U_158] : hBOOL(hAPP_P1708370145l_bool(U_159,U_158))
| ? [U_157,U_156] : ~ hBOOL(hAPP_P1708370145l_bool(U_159,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_157),U_156))) )
& ( ! [U_155,U_154] : hBOOL(hAPP_P1708370145l_bool(U_159,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_155),U_154)))
| ? [U_153] : ~ hBOOL(hAPP_P1708370145l_bool(U_159,U_153)) ) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
( ! [U_161] :
( ! [U_158] : hBOOL(hAPP_P1708370145l_bool(U_161,U_158))
| ? [U_157,U_156] : ~ hBOOL(hAPP_P1708370145l_bool(U_161,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_157),U_156))) )
& ! [U_160] :
( ! [U_155,U_154] : hBOOL(hAPP_P1708370145l_bool(U_160,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_155),U_154)))
| ? [U_153] : ~ hBOOL(hAPP_P1708370145l_bool(U_160,U_153)) ) ),
inference(miniscope,[status(thm)],[f_37_2]) ).
fof(f_37_4,plain,
( ! [U_161] :
( ! [U_158] : hBOOL(hAPP_P1708370145l_bool(U_161,U_158))
| ? [U_157,U_156] : ~ hBOOL(hAPP_P1708370145l_bool(U_161,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_157),U_156))) )
& ! [U_160] :
( ! [U_155,U_154] : hBOOL(hAPP_P1708370145l_bool(U_160,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_155),U_154)))
| ~ hBOOL(hAPP_P1708370145l_bool(U_160,sK13(U_160))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_153,sK13(U_160))],[f_37_3]) ).
fof(f_37_5,plain,
( ! [U_161] :
( ! [U_158] : hBOOL(hAPP_P1708370145l_bool(U_161,U_158))
| ? [U_156] : ~ hBOOL(hAPP_P1708370145l_bool(U_161,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK14(U_161)),U_156))) )
& ! [U_160] :
( ! [U_155,U_154] : hBOOL(hAPP_P1708370145l_bool(U_160,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_155),U_154)))
| ~ hBOOL(hAPP_P1708370145l_bool(U_160,sK13(U_160))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_157,sK14(U_161))],[f_37_4]) ).
fof(f_37_6,plain,
( ! [U_161] :
( ! [U_158] : hBOOL(hAPP_P1708370145l_bool(U_161,U_158))
| ~ hBOOL(hAPP_P1708370145l_bool(U_161,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK14(U_161)),sK15(U_161)))) )
& ! [U_160] :
( ! [U_155,U_154] : hBOOL(hAPP_P1708370145l_bool(U_160,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_155),U_154)))
| ~ hBOOL(hAPP_P1708370145l_bool(U_160,sK13(U_160))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_156,sK15(U_161))],[f_37_5]) ).
cnf(f_37_7,plain,
( hBOOL(hAPP_P1708370145l_bool(U_160,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_155),U_154)))
| ~ hBOOL(hAPP_P1708370145l_bool(U_160,sK13(U_160))) ),
inference(clausify,[status(thm)],[f_37_6]) ).
cnf(f_37_8,plain,
( hBOOL(hAPP_P1708370145l_bool(U_161,U_158))
| ~ hBOOL(hAPP_P1708370145l_bool(U_161,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK14(U_161)),sK15(U_161)))) ),
inference(clausify,[status(thm)],[f_37_6]) ).
fof(f_38_1,plain,
! [Pa] :
( ( ! [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
| ? [A_15,B] : ~ hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B))) )
& ( ! [A_15,B] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B)))
| ? [X1] : ~ hBOOL(hAPP_P159683425l_bool(Pa,X1)) ) ),
inference(fof_nnf,[status(thm)],[fact_23_split__paired__All]) ).
fof(f_38_2,plain,
! [U_168] :
( ( ! [U_167] : hBOOL(hAPP_P159683425l_bool(U_168,U_167))
| ? [U_166,U_165] : ~ hBOOL(hAPP_P159683425l_bool(U_168,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_166),U_165))) )
& ( ! [U_164,U_163] : hBOOL(hAPP_P159683425l_bool(U_168,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_164),U_163)))
| ? [U_162] : ~ hBOOL(hAPP_P159683425l_bool(U_168,U_162)) ) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
( ! [U_170] :
( ! [U_167] : hBOOL(hAPP_P159683425l_bool(U_170,U_167))
| ? [U_166,U_165] : ~ hBOOL(hAPP_P159683425l_bool(U_170,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_166),U_165))) )
& ! [U_169] :
( ! [U_164,U_163] : hBOOL(hAPP_P159683425l_bool(U_169,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_164),U_163)))
| ? [U_162] : ~ hBOOL(hAPP_P159683425l_bool(U_169,U_162)) ) ),
inference(miniscope,[status(thm)],[f_38_2]) ).
fof(f_38_4,plain,
( ! [U_170] :
( ! [U_167] : hBOOL(hAPP_P159683425l_bool(U_170,U_167))
| ? [U_166,U_165] : ~ hBOOL(hAPP_P159683425l_bool(U_170,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_166),U_165))) )
& ! [U_169] :
( ! [U_164,U_163] : hBOOL(hAPP_P159683425l_bool(U_169,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_164),U_163)))
| ~ hBOOL(hAPP_P159683425l_bool(U_169,sK16(U_169))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_162,sK16(U_169))],[f_38_3]) ).
fof(f_38_5,plain,
( ! [U_170] :
( ! [U_167] : hBOOL(hAPP_P159683425l_bool(U_170,U_167))
| ? [U_165] : ~ hBOOL(hAPP_P159683425l_bool(U_170,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK17(U_170)),U_165))) )
& ! [U_169] :
( ! [U_164,U_163] : hBOOL(hAPP_P159683425l_bool(U_169,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_164),U_163)))
| ~ hBOOL(hAPP_P159683425l_bool(U_169,sK16(U_169))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_166,sK17(U_170))],[f_38_4]) ).
fof(f_38_6,plain,
( ! [U_170] :
( ! [U_167] : hBOOL(hAPP_P159683425l_bool(U_170,U_167))
| ~ hBOOL(hAPP_P159683425l_bool(U_170,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK17(U_170)),sK18(U_170)))) )
& ! [U_169] :
( ! [U_164,U_163] : hBOOL(hAPP_P159683425l_bool(U_169,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_164),U_163)))
| ~ hBOOL(hAPP_P159683425l_bool(U_169,sK16(U_169))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_165,sK18(U_170))],[f_38_5]) ).
cnf(f_38_7,plain,
( hBOOL(hAPP_P159683425l_bool(U_169,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_164),U_163)))
| ~ hBOOL(hAPP_P159683425l_bool(U_169,sK16(U_169))) ),
inference(clausify,[status(thm)],[f_38_6]) ).
cnf(f_38_8,plain,
( hBOOL(hAPP_P159683425l_bool(U_170,U_167))
| ~ hBOOL(hAPP_P159683425l_bool(U_170,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK17(U_170)),sK18(U_170)))) ),
inference(clausify,[status(thm)],[f_38_6]) ).
fof(f_39_1,plain,
! [F,B_1,A_10,X] :
( ( hAPP_l207779698on_val(fun_up1149430426on_val(F,A_10,B_1),X) = hAPP_l207779698on_val(F,X)
| X = A_10 )
& ( hAPP_l207779698on_val(fun_up1149430426on_val(F,A_10,B_1),X) = B_1
| X != A_10 ) ),
inference(fof_nnf,[status(thm)],[fact_24_fun__upd__def]) ).
fof(f_39_2,plain,
! [U_174,U_173,U_172,U_171] :
( ( hAPP_l207779698on_val(fun_up1149430426on_val(U_174,U_172,U_173),U_171) = hAPP_l207779698on_val(U_174,U_171)
| U_171 = U_172 )
& ( hAPP_l207779698on_val(fun_up1149430426on_val(U_174,U_172,U_173),U_171) = U_173
| U_171 != U_172 ) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
( ! [U_182,U_180,U_178,U_176] :
( hAPP_l207779698on_val(fun_up1149430426on_val(U_182,U_178,U_180),U_176) = hAPP_l207779698on_val(U_182,U_176)
| U_176 = U_178 )
& ! [U_181,U_179,U_177,U_175] :
( hAPP_l207779698on_val(fun_up1149430426on_val(U_181,U_177,U_179),U_175) = U_179
| U_175 != U_177 ) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
cnf(f_39_4,plain,
( hAPP_l207779698on_val(fun_up1149430426on_val(U_181,U_177,U_179),U_175) = U_179
| U_175 != U_177 ),
inference(clausify,[status(thm)],[f_39_3]) ).
cnf(f_39_5,plain,
( hAPP_l207779698on_val(fun_up1149430426on_val(U_182,U_178,U_180),U_176) = hAPP_l207779698on_val(U_182,U_176)
| U_176 = U_178 ),
inference(clausify,[status(thm)],[f_39_3]) ).
fof(f_40_1,plain,
! [F,B_1,A_10,X] :
( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,A_10,B_1),X) = hAPP_l512744617ion_ty(F,X)
| X = A_10 )
& ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,A_10,B_1),X) = B_1
| X != A_10 ) ),
inference(fof_nnf,[status(thm)],[fact_25_fun__upd__def]) ).
fof(f_40_2,plain,
! [U_186,U_185,U_184,U_183] :
( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_186,U_184,U_185),U_183) = hAPP_l512744617ion_ty(U_186,U_183)
| U_183 = U_184 )
& ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_186,U_184,U_185),U_183) = U_185
| U_183 != U_184 ) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
( ! [U_194,U_192,U_190,U_188] :
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_194,U_190,U_192),U_188) = hAPP_l512744617ion_ty(U_194,U_188)
| U_188 = U_190 )
& ! [U_193,U_191,U_189,U_187] :
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_193,U_189,U_191),U_187) = U_191
| U_187 != U_189 ) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
cnf(f_40_4,plain,
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_193,U_189,U_191),U_187) = U_191
| U_187 != U_189 ),
inference(clausify,[status(thm)],[f_40_3]) ).
cnf(f_40_5,plain,
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_194,U_190,U_192),U_188) = hAPP_l512744617ion_ty(U_194,U_188)
| U_188 = U_190 ),
inference(clausify,[status(thm)],[f_40_3]) ).
fof(f_41_1,plain,
! [F,X_1,Y_1] :
( fun_up1149430426on_val(F,X_1,Y_1) = F
| hAPP_l207779698on_val(F,X_1) != Y_1 ),
inference(fof_nnf,[status(thm)],[fact_26_fun__upd__idem]) ).
fof(f_41_2,plain,
! [U_197,U_196,U_195] :
( fun_up1149430426on_val(U_197,U_196,U_195) = U_197
| hAPP_l207779698on_val(U_197,U_196) != U_195 ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
cnf(f_41_3,plain,
( fun_up1149430426on_val(U_197,U_196,U_195) = U_197
| hAPP_l207779698on_val(U_197,U_196) != U_195 ),
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
! [F,X_1,Y_1] :
( fun_up424764369ion_ty(F,X_1,Y_1) = F
| hAPP_l512744617ion_ty(F,X_1) != Y_1 ),
inference(fof_nnf,[status(thm)],[fact_27_fun__upd__idem]) ).
fof(f_42_2,plain,
! [U_200,U_199,U_198] :
( fun_up424764369ion_ty(U_200,U_199,U_198) = U_200
| hAPP_l512744617ion_ty(U_200,U_199) != U_198 ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
( fun_up424764369ion_ty(U_200,U_199,U_198) = U_200
| hAPP_l512744617ion_ty(U_200,U_199) != U_198 ),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
! [F,Y_1,Z,X_1] :
( hAPP_l207779698on_val(fun_up1149430426on_val(F,X_1,Y_1),Z) = hAPP_l207779698on_val(F,Z)
| Z = X_1 ),
inference(fof_nnf,[status(thm)],[fact_28_fun__upd__other]) ).
fof(f_43_2,plain,
! [U_204,U_203,U_202,U_201] :
( hAPP_l207779698on_val(fun_up1149430426on_val(U_204,U_201,U_203),U_202) = hAPP_l207779698on_val(U_204,U_202)
| U_202 = U_201 ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
cnf(f_43_3,plain,
( hAPP_l207779698on_val(fun_up1149430426on_val(U_204,U_201,U_203),U_202) = hAPP_l207779698on_val(U_204,U_202)
| U_202 = U_201 ),
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_1,plain,
! [F,Y_1,Z,X_1] :
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,X_1,Y_1),Z) = hAPP_l512744617ion_ty(F,Z)
| Z = X_1 ),
inference(fof_nnf,[status(thm)],[fact_29_fun__upd__other]) ).
fof(f_44_2,plain,
! [U_208,U_207,U_206,U_205] :
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_208,U_205,U_207),U_206) = hAPP_l512744617ion_ty(U_208,U_206)
| U_206 = U_205 ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_208,U_205,U_207),U_206) = hAPP_l512744617ion_ty(U_208,U_206)
| U_206 = U_205 ),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
! [M,B_1,D,A_10,C] :
( fun_up1149430426on_val(fun_up1149430426on_val(M,A_10,B_1),C,D) = fun_up1149430426on_val(fun_up1149430426on_val(M,C,D),A_10,B_1)
| A_10 = C ),
inference(fof_nnf,[status(thm)],[fact_30_fun__upd__twist]) ).
fof(f_45_2,plain,
! [U_213,U_212,U_211,U_210,U_209] :
( fun_up1149430426on_val(fun_up1149430426on_val(U_213,U_210,U_212),U_209,U_211) = fun_up1149430426on_val(fun_up1149430426on_val(U_213,U_209,U_211),U_210,U_212)
| U_210 = U_209 ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
cnf(f_45_3,plain,
( fun_up1149430426on_val(fun_up1149430426on_val(U_213,U_210,U_212),U_209,U_211) = fun_up1149430426on_val(fun_up1149430426on_val(U_213,U_209,U_211),U_210,U_212)
| U_210 = U_209 ),
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
! [M,B_1,D,A_10,C] :
( fun_up424764369ion_ty(fun_up424764369ion_ty(M,A_10,B_1),C,D) = fun_up424764369ion_ty(fun_up424764369ion_ty(M,C,D),A_10,B_1)
| A_10 = C ),
inference(fof_nnf,[status(thm)],[fact_31_fun__upd__twist]) ).
fof(f_46_2,plain,
! [U_218,U_217,U_216,U_215,U_214] :
( fun_up424764369ion_ty(fun_up424764369ion_ty(U_218,U_215,U_217),U_214,U_216) = fun_up424764369ion_ty(fun_up424764369ion_ty(U_218,U_214,U_216),U_215,U_217)
| U_215 = U_214 ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
cnf(f_46_3,plain,
( fun_up424764369ion_ty(fun_up424764369ion_ty(U_218,U_215,U_217),U_214,U_216) = fun_up424764369ion_ty(fun_up424764369ion_ty(U_218,U_214,U_216),U_215,U_217)
| U_215 = U_214 ),
inference(clausify,[status(thm)],[f_46_2]) ).
fof(f_47_1,plain,
! [F,Y_1,Z,X_1] :
( ( hAPP_l207779698on_val(fun_up1149430426on_val(F,X_1,Y_1),Z) = hAPP_l207779698on_val(F,Z)
| Z = X_1 )
& ( hAPP_l207779698on_val(fun_up1149430426on_val(F,X_1,Y_1),Z) = Y_1
| Z != X_1 ) ),
inference(fof_nnf,[status(thm)],[fact_32_fun__upd__apply]) ).
fof(f_47_2,plain,
! [U_222,U_221,U_220,U_219] :
( ( hAPP_l207779698on_val(fun_up1149430426on_val(U_222,U_219,U_221),U_220) = hAPP_l207779698on_val(U_222,U_220)
| U_220 = U_219 )
& ( hAPP_l207779698on_val(fun_up1149430426on_val(U_222,U_219,U_221),U_220) = U_221
| U_220 != U_219 ) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
( ! [U_230,U_228,U_226,U_224] :
( hAPP_l207779698on_val(fun_up1149430426on_val(U_230,U_224,U_228),U_226) = hAPP_l207779698on_val(U_230,U_226)
| U_226 = U_224 )
& ! [U_229,U_227,U_225,U_223] :
( hAPP_l207779698on_val(fun_up1149430426on_val(U_229,U_223,U_227),U_225) = U_227
| U_225 != U_223 ) ),
inference(miniscope,[status(thm)],[f_47_2]) ).
cnf(f_47_4,plain,
( hAPP_l207779698on_val(fun_up1149430426on_val(U_229,U_223,U_227),U_225) = U_227
| U_225 != U_223 ),
inference(clausify,[status(thm)],[f_47_3]) ).
cnf(f_47_5,plain,
( hAPP_l207779698on_val(fun_up1149430426on_val(U_230,U_224,U_228),U_226) = hAPP_l207779698on_val(U_230,U_226)
| U_226 = U_224 ),
inference(clausify,[status(thm)],[f_47_3]) ).
fof(f_48_1,plain,
! [F,Y_1,Z,X_1] :
( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,X_1,Y_1),Z) = hAPP_l512744617ion_ty(F,Z)
| Z = X_1 )
& ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,X_1,Y_1),Z) = Y_1
| Z != X_1 ) ),
inference(fof_nnf,[status(thm)],[fact_33_fun__upd__apply]) ).
fof(f_48_2,plain,
! [U_234,U_233,U_232,U_231] :
( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_234,U_231,U_233),U_232) = hAPP_l512744617ion_ty(U_234,U_232)
| U_232 = U_231 )
& ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_234,U_231,U_233),U_232) = U_233
| U_232 != U_231 ) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
( ! [U_242,U_240,U_238,U_236] :
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_242,U_236,U_240),U_238) = hAPP_l512744617ion_ty(U_242,U_238)
| U_238 = U_236 )
& ! [U_241,U_239,U_237,U_235] :
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_241,U_235,U_239),U_237) = U_239
| U_237 != U_235 ) ),
inference(miniscope,[status(thm)],[f_48_2]) ).
cnf(f_48_4,plain,
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_241,U_235,U_239),U_237) = U_239
| U_237 != U_235 ),
inference(clausify,[status(thm)],[f_48_3]) ).
cnf(f_48_5,plain,
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_242,U_236,U_240),U_238) = hAPP_l512744617ion_ty(U_242,U_238)
| U_238 = U_236 ),
inference(clausify,[status(thm)],[f_48_3]) ).
fof(f_49_1,plain,
! [F,X_1,Y_1] : hAPP_l207779698on_val(fun_up1149430426on_val(F,X_1,Y_1),X_1) = Y_1,
inference(fof_nnf,[status(thm)],[fact_34_fun__upd__same]) ).
fof(f_49_2,plain,
! [U_245,U_244,U_243] : hAPP_l207779698on_val(fun_up1149430426on_val(U_245,U_244,U_243),U_244) = U_243,
inference(variable_rename,[status(thm)],[f_49_1]) ).
cnf(f_49_3,plain,
hAPP_l207779698on_val(fun_up1149430426on_val(U_245,U_244,U_243),U_244) = U_243,
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_50_1,plain,
! [F,X_1,Y_1] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(F,X_1,Y_1),X_1) = Y_1,
inference(fof_nnf,[status(thm)],[fact_35_fun__upd__same]) ).
fof(f_50_2,plain,
! [U_248,U_247,U_246] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_248,U_247,U_246),U_247) = U_246,
inference(variable_rename,[status(thm)],[f_50_1]) ).
cnf(f_50_3,plain,
hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_248,U_247,U_246),U_247) = U_246,
inference(clausify,[status(thm)],[f_50_2]) ).
fof(f_51_1,plain,
! [F,X_1,Y_1,Z] : fun_up1149430426on_val(fun_up1149430426on_val(F,X_1,Y_1),X_1,Z) = fun_up1149430426on_val(F,X_1,Z),
inference(fof_nnf,[status(thm)],[fact_36_fun__upd__upd]) ).
fof(f_51_2,plain,
! [U_252,U_251,U_250,U_249] : fun_up1149430426on_val(fun_up1149430426on_val(U_252,U_251,U_250),U_251,U_249) = fun_up1149430426on_val(U_252,U_251,U_249),
inference(variable_rename,[status(thm)],[f_51_1]) ).
cnf(f_51_3,plain,
fun_up1149430426on_val(fun_up1149430426on_val(U_252,U_251,U_250),U_251,U_249) = fun_up1149430426on_val(U_252,U_251,U_249),
inference(clausify,[status(thm)],[f_51_2]) ).
fof(f_52_1,plain,
! [F,X_1,Y_1,Z] : fun_up424764369ion_ty(fun_up424764369ion_ty(F,X_1,Y_1),X_1,Z) = fun_up424764369ion_ty(F,X_1,Z),
inference(fof_nnf,[status(thm)],[fact_37_fun__upd__upd]) ).
fof(f_52_2,plain,
! [U_256,U_255,U_254,U_253] : fun_up424764369ion_ty(fun_up424764369ion_ty(U_256,U_255,U_254),U_255,U_253) = fun_up424764369ion_ty(U_256,U_255,U_253),
inference(variable_rename,[status(thm)],[f_52_1]) ).
cnf(f_52_3,plain,
fun_up424764369ion_ty(fun_up424764369ion_ty(U_256,U_255,U_254),U_255,U_253) = fun_up424764369ion_ty(U_256,U_255,U_253),
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_53_1,plain,
! [F,X_1,Y_1] :
( ( fun_up1149430426on_val(F,X_1,Y_1) = F
| hAPP_l207779698on_val(F,X_1) != Y_1 )
& ( hAPP_l207779698on_val(F,X_1) = Y_1
| fun_up1149430426on_val(F,X_1,Y_1) != F ) ),
inference(fof_nnf,[status(thm)],[fact_38_fun__upd__idem__iff]) ).
fof(f_53_2,plain,
! [U_259,U_258,U_257] :
( ( fun_up1149430426on_val(U_259,U_258,U_257) = U_259
| hAPP_l207779698on_val(U_259,U_258) != U_257 )
& ( hAPP_l207779698on_val(U_259,U_258) = U_257
| fun_up1149430426on_val(U_259,U_258,U_257) != U_259 ) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
fof(f_53_3,plain,
( ! [U_265,U_263,U_261] :
( fun_up1149430426on_val(U_265,U_263,U_261) = U_265
| hAPP_l207779698on_val(U_265,U_263) != U_261 )
& ! [U_264,U_262,U_260] :
( hAPP_l207779698on_val(U_264,U_262) = U_260
| fun_up1149430426on_val(U_264,U_262,U_260) != U_264 ) ),
inference(miniscope,[status(thm)],[f_53_2]) ).
cnf(f_53_4,plain,
( hAPP_l207779698on_val(U_264,U_262) = U_260
| fun_up1149430426on_val(U_264,U_262,U_260) != U_264 ),
inference(clausify,[status(thm)],[f_53_3]) ).
cnf(f_53_5,plain,
( fun_up1149430426on_val(U_265,U_263,U_261) = U_265
| hAPP_l207779698on_val(U_265,U_263) != U_261 ),
inference(clausify,[status(thm)],[f_53_3]) ).
fof(f_54_1,plain,
! [F,X_1,Y_1] :
( ( fun_up424764369ion_ty(F,X_1,Y_1) = F
| hAPP_l512744617ion_ty(F,X_1) != Y_1 )
& ( hAPP_l512744617ion_ty(F,X_1) = Y_1
| fun_up424764369ion_ty(F,X_1,Y_1) != F ) ),
inference(fof_nnf,[status(thm)],[fact_39_fun__upd__idem__iff]) ).
fof(f_54_2,plain,
! [U_268,U_267,U_266] :
( ( fun_up424764369ion_ty(U_268,U_267,U_266) = U_268
| hAPP_l512744617ion_ty(U_268,U_267) != U_266 )
& ( hAPP_l512744617ion_ty(U_268,U_267) = U_266
| fun_up424764369ion_ty(U_268,U_267,U_266) != U_268 ) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
fof(f_54_3,plain,
( ! [U_274,U_272,U_270] :
( fun_up424764369ion_ty(U_274,U_272,U_270) = U_274
| hAPP_l512744617ion_ty(U_274,U_272) != U_270 )
& ! [U_273,U_271,U_269] :
( hAPP_l512744617ion_ty(U_273,U_271) = U_269
| fun_up424764369ion_ty(U_273,U_271,U_269) != U_273 ) ),
inference(miniscope,[status(thm)],[f_54_2]) ).
cnf(f_54_4,plain,
( hAPP_l512744617ion_ty(U_273,U_271) = U_269
| fun_up424764369ion_ty(U_273,U_271,U_269) != U_273 ),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_5,plain,
( fun_up424764369ion_ty(U_274,U_272,U_270) = U_274
| hAPP_l512744617ion_ty(U_274,U_272) != U_270 ),
inference(clausify,[status(thm)],[f_54_3]) ).
fof(f_55_1,plain,
! [P_3,T_4] : hBOOL(widen_2090681816t_char(P_3,T_4,T_4)),
inference(fof_nnf,[status(thm)],[fact_40_widen__refl]) ).
fof(f_55_2,plain,
! [U_276,U_275] : hBOOL(widen_2090681816t_char(U_276,U_275,U_275)),
inference(variable_rename,[status(thm)],[f_55_1]) ).
cnf(f_55_3,plain,
hBOOL(widen_2090681816t_char(U_276,U_275,U_275)),
inference(clausify,[status(thm)],[f_55_2]) ).
fof(f_56_1,plain,
! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b))
| ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
| ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) ),
inference(fof_nnf,[status(thm)],[fact_41_red__preserves__hconf]) ).
fof(f_56_2,plain,
! [U_285,U_284,U_283,U_282,U_281,U_280,U_279,U_278,U_277] :
( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_277),U_279))
| ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_277),U_282))
| ~ hBOOL(wTrt(U_277,U_282,U_285,U_283,U_284))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_283),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_282),U_281))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_280),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_279),U_278))),red(U_277))) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
cnf(f_56_3,plain,
( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_277),U_279))
| ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_277),U_282))
| ~ hBOOL(wTrt(U_277,U_282,U_285,U_283,U_284))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_283),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_282),U_281))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_280),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_279),U_278))),red(U_277))) ),
inference(clausify,[status(thm)],[f_56_2]) ).
fof(f_57_1,plain,
! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea))
| ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
| ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) ),
inference(fof_nnf,[status(thm)],[fact_42_red__preserves__lconf]) ).
fof(f_57_2,plain,
! [U_294,U_293,U_292,U_291,U_290,U_289,U_288,U_287,U_286] :
( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_286),U_288),U_287),U_294))
| ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_286),U_291),U_290),U_294))
| ~ hBOOL(wTrt(U_286,U_291,U_294,U_292,U_293))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_292),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_291),U_290))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_289),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_288),U_287))),red(U_286))) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
cnf(f_57_3,plain,
( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_286),U_288),U_287),U_294))
| ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_286),U_291),U_290),U_294))
| ~ hBOOL(wTrt(U_286,U_291,U_294,U_292,U_293))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_292),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_291),U_290))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_289),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_288),U_287))),red(U_286))) ),
inference(clausify,[status(thm)],[f_57_2]) ).
fof(f_58_1,plain,
! [Y_1] :
? [A_15,B,C_1] : Y_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),C_1)),
inference(fof_nnf,[status(thm)],[fact_43_prod__cases3]) ).
fof(f_58_2,plain,
! [U_298] :
? [U_297,U_296,U_295] : U_298 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_297),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_296),U_295)),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
! [U_298] :
? [U_296,U_295] : U_298 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK19(U_298)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_296),U_295)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_297,sK19(U_298))],[f_58_2]) ).
fof(f_58_4,plain,
! [U_298] :
? [U_295] : U_298 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK19(U_298)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK20(U_298)),U_295)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_296,sK20(U_298))],[f_58_3]) ).
fof(f_58_5,plain,
! [U_298] : U_298 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK19(U_298)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK20(U_298)),sK21(U_298))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_295,sK21(U_298))],[f_58_4]) ).
cnf(f_58_6,plain,
U_298 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK19(U_298)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK20(U_298)),sK21(U_298))),
inference(clausify,[status(thm)],[f_58_5]) ).
fof(f_59_1,plain,
! [Y_1] :
? [A_15,B,C_1] : Y_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B),C_1)),
inference(fof_nnf,[status(thm)],[fact_44_prod__cases3]) ).
fof(f_59_2,plain,
! [U_302] :
? [U_301,U_300,U_299] : U_302 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_301),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_300),U_299)),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
! [U_302] :
? [U_300,U_299] : U_302 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK22(U_302)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_300),U_299)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_301,sK22(U_302))],[f_59_2]) ).
fof(f_59_4,plain,
! [U_302] :
? [U_299] : U_302 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK22(U_302)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK23(U_302)),U_299)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_300,sK23(U_302))],[f_59_3]) ).
fof(f_59_5,plain,
! [U_302] : U_302 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK22(U_302)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK23(U_302)),sK24(U_302))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_299,sK24(U_302))],[f_59_4]) ).
cnf(f_59_6,plain,
U_302 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK22(U_302)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK23(U_302)),sK24(U_302))),
inference(clausify,[status(thm)],[f_59_5]) ).
fof(f_60_1,plain,
! [X_1,Pa] :
( hBOOL(hAPP_P282169671l_bool(Pa,X_1))
| ? [A_15,B,C_1] : ~ hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),C_1)))) ),
inference(fof_nnf,[status(thm)],[fact_45_prod__induct3]) ).
fof(f_60_2,plain,
! [U_307,U_306] :
( hBOOL(hAPP_P282169671l_bool(U_306,U_307))
| ? [U_305,U_304,U_303] : ~ hBOOL(hAPP_P282169671l_bool(U_306,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_305),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_304),U_303)))) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
fof(f_60_3,plain,
! [U_307,U_306] :
( hBOOL(hAPP_P282169671l_bool(U_306,U_307))
| ? [U_304,U_303] : ~ hBOOL(hAPP_P282169671l_bool(U_306,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK25(U_307,U_306)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_304),U_303)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_305,sK25(U_307,U_306))],[f_60_2]) ).
fof(f_60_4,plain,
! [U_307,U_306] :
( hBOOL(hAPP_P282169671l_bool(U_306,U_307))
| ? [U_303] : ~ hBOOL(hAPP_P282169671l_bool(U_306,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK25(U_307,U_306)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK26(U_307,U_306)),U_303)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_304,sK26(U_307,U_306))],[f_60_3]) ).
fof(f_60_5,plain,
! [U_307,U_306] :
( hBOOL(hAPP_P282169671l_bool(U_306,U_307))
| ~ hBOOL(hAPP_P282169671l_bool(U_306,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK25(U_307,U_306)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK26(U_307,U_306)),sK27(U_307,U_306))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_303,sK27(U_307,U_306))],[f_60_4]) ).
cnf(f_60_6,plain,
( hBOOL(hAPP_P282169671l_bool(U_306,U_307))
| ~ hBOOL(hAPP_P282169671l_bool(U_306,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK25(U_307,U_306)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK26(U_307,U_306)),sK27(U_307,U_306))))) ),
inference(clausify,[status(thm)],[f_60_5]) ).
fof(f_61_1,plain,
! [X_1,Pa] :
( hBOOL(hAPP_P1708370145l_bool(Pa,X_1))
| ? [A_15,B,C_1] : ~ hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B),C_1)))) ),
inference(fof_nnf,[status(thm)],[fact_46_prod__induct3]) ).
fof(f_61_2,plain,
! [U_312,U_311] :
( hBOOL(hAPP_P1708370145l_bool(U_311,U_312))
| ? [U_310,U_309,U_308] : ~ hBOOL(hAPP_P1708370145l_bool(U_311,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_310),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_309),U_308)))) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
! [U_312,U_311] :
( hBOOL(hAPP_P1708370145l_bool(U_311,U_312))
| ? [U_309,U_308] : ~ hBOOL(hAPP_P1708370145l_bool(U_311,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK28(U_312,U_311)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_309),U_308)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_310,sK28(U_312,U_311))],[f_61_2]) ).
fof(f_61_4,plain,
! [U_312,U_311] :
( hBOOL(hAPP_P1708370145l_bool(U_311,U_312))
| ? [U_308] : ~ hBOOL(hAPP_P1708370145l_bool(U_311,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK28(U_312,U_311)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK29(U_312,U_311)),U_308)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_309,sK29(U_312,U_311))],[f_61_3]) ).
fof(f_61_5,plain,
! [U_312,U_311] :
( hBOOL(hAPP_P1708370145l_bool(U_311,U_312))
| ~ hBOOL(hAPP_P1708370145l_bool(U_311,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK28(U_312,U_311)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK29(U_312,U_311)),sK30(U_312,U_311))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_308,sK30(U_312,U_311))],[f_61_4]) ).
cnf(f_61_6,plain,
( hBOOL(hAPP_P1708370145l_bool(U_311,U_312))
| ~ hBOOL(hAPP_P1708370145l_bool(U_311,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK28(U_312,U_311)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK29(U_312,U_311)),sK30(U_312,U_311))))) ),
inference(clausify,[status(thm)],[f_61_5]) ).
fof(f_62_1,plain,
! [Ea,Ta,Eb,S,E_b,S_1,Pa] :
( hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(Pa,Ea),S_1))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(Pa,Ea),S))
| ~ hBOOL(wTrt(Pa,hp(S),Ea,Eb,Ta))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) ),
inference(fof_nnf,[status(thm)],[fact_47_red__preserves__sconf]) ).
fof(f_62_2,plain,
! [U_319,U_318,U_317,U_316,U_315,U_314,U_313] :
( hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(U_313,U_319),U_314))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(U_313,U_319),U_316))
| ~ hBOOL(wTrt(U_313,hp(U_316),U_319,U_317,U_318))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_317),U_316)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_315),U_314)),red(U_313))) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
cnf(f_62_3,plain,
( hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(U_313,U_319),U_314))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(U_313,U_319),U_316))
| ~ hBOOL(wTrt(U_313,hp(U_316),U_319,U_317,U_318))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_317),U_316)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_315),U_314)),red(U_313))) ),
inference(clausify,[status(thm)],[f_62_2]) ).
fof(f_63_1,plain,
! [S_3,R_1] :
( ( ! [X,Xa] :
( ( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa),R_1))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa),S_3)) )
& ( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa),S_3))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa),R_1)) ) )
| R_1 != S_3 )
& ( R_1 = S_3
| ? [X,Xa] :
( ( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa),R_1))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa),S_3)) )
| ( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa),S_3))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa),R_1)) ) ) ) ),
inference(fof_nnf,[status(thm)],[fact_48_pred__equals__eq2]) ).
fof(f_63_2,plain,
! [U_325,U_324] :
( ( ! [U_323,U_322] :
( ( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_323),U_322),U_324))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_323),U_322),U_325)) )
& ( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_323),U_322),U_325))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_323),U_322),U_324)) ) )
| U_324 != U_325 )
& ( U_324 = U_325
| ? [U_321,U_320] :
( ( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_321),U_320),U_324))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_321),U_320),U_325)) )
| ( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_321),U_320),U_325))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_321),U_320),U_324)) ) ) ) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
( ! [U_337,U_335] :
( ( ! [U_333,U_331] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_335))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_337)) )
& ! [U_332,U_330] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_337))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_335)) ) )
| U_335 != U_337 )
& ! [U_336,U_334] :
( U_334 = U_336
| ? [U_329,U_327] :
( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_329),U_327),U_334))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_329),U_327),U_336)) )
| ? [U_328,U_326] :
( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_328),U_326),U_336))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_328),U_326),U_334)) ) ) ),
inference(miniscope,[status(thm)],[f_63_2]) ).
fof(f_63_4,plain,
( ! [U_337,U_335] :
( ( ! [U_333,U_331] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_335))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_337)) )
& ! [U_332,U_330] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_337))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_335)) ) )
| U_335 != U_337 )
& ! [U_336,U_334] :
( U_334 = U_336
| ? [U_329,U_327] :
( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_329),U_327),U_334))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_329),U_327),U_336)) )
| ? [U_326] :
( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),U_326),U_336))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),U_326),U_334)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_328,sK31(U_336,U_334))],[f_63_3]) ).
fof(f_63_5,plain,
( ! [U_337,U_335] :
( ( ! [U_333,U_331] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_335))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_337)) )
& ! [U_332,U_330] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_337))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_335)) ) )
| U_335 != U_337 )
& ! [U_336,U_334] :
( U_334 = U_336
| ? [U_329,U_327] :
( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_329),U_327),U_334))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_329),U_327),U_336)) )
| ( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),sK32(U_336,U_334)),U_336))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),sK32(U_336,U_334)),U_334)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_326,sK32(U_336,U_334))],[f_63_4]) ).
fof(f_63_6,plain,
( ! [U_337,U_335] :
( ( ! [U_333,U_331] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_335))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_337)) )
& ! [U_332,U_330] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_337))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_335)) ) )
| U_335 != U_337 )
& ! [U_336,U_334] :
( U_334 = U_336
| ? [U_327] :
( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK33(U_336,U_334)),U_327),U_334))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK33(U_336,U_334)),U_327),U_336)) )
| ( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),sK32(U_336,U_334)),U_336))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),sK32(U_336,U_334)),U_334)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_329,sK33(U_336,U_334))],[f_63_5]) ).
fof(f_63_7,plain,
( ! [U_337,U_335] :
( ( ! [U_333,U_331] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_335))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_337)) )
& ! [U_332,U_330] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_337))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_335)) ) )
| U_335 != U_337 )
& ! [U_336,U_334] :
( U_334 = U_336
| ( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK33(U_336,U_334)),sK34(U_336,U_334)),U_334))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK33(U_336,U_334)),sK34(U_336,U_334)),U_336)) )
| ( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),sK32(U_336,U_334)),U_336))
& hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),sK32(U_336,U_334)),U_334)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_327,sK34(U_336,U_334))],[f_63_6]) ).
cnf(f_63_8,plain,
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK33(U_336,U_334)),sK34(U_336,U_334)),U_336))
| hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),sK32(U_336,U_334)),U_334))
| U_334 = U_336 ),
inference(clausify,[status(thm)],[f_63_7]) ).
cnf(f_63_9,plain,
( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK33(U_336,U_334)),sK34(U_336,U_334)),U_334))
| hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),sK32(U_336,U_334)),U_334))
| U_334 = U_336 ),
inference(clausify,[status(thm)],[f_63_7]) ).
cnf(f_63_10,plain,
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK33(U_336,U_334)),sK34(U_336,U_334)),U_336))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),sK32(U_336,U_334)),U_336))
| U_334 = U_336 ),
inference(clausify,[status(thm)],[f_63_7]) ).
cnf(f_63_11,plain,
( ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK33(U_336,U_334)),sK34(U_336,U_334)),U_334))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK31(U_336,U_334)),sK32(U_336,U_334)),U_336))
| U_334 = U_336 ),
inference(clausify,[status(thm)],[f_63_7]) ).
cnf(f_63_12,plain,
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_337))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_332),U_330),U_335))
| U_335 != U_337 ),
inference(clausify,[status(thm)],[f_63_7]) ).
cnf(f_63_13,plain,
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_335))
| ~ hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_333),U_331),U_337))
| U_335 != U_337 ),
inference(clausify,[status(thm)],[f_63_7]) ).
fof(f_64_1,plain,
! [S_3,R_1] :
( ( ! [X,Xa] :
( ( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Xa),R_1))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Xa),S_3)) )
& ( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Xa),S_3))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Xa),R_1)) ) )
| R_1 != S_3 )
& ( R_1 = S_3
| ? [X,Xa] :
( ( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Xa),R_1))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Xa),S_3)) )
| ( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Xa),S_3))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Xa),R_1)) ) ) ) ),
inference(fof_nnf,[status(thm)],[fact_49_pred__equals__eq2]) ).
fof(f_64_2,plain,
! [U_343,U_342] :
( ( ! [U_341,U_340] :
( ( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_341),U_340),U_342))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_341),U_340),U_343)) )
& ( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_341),U_340),U_343))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_341),U_340),U_342)) ) )
| U_342 != U_343 )
& ( U_342 = U_343
| ? [U_339,U_338] :
( ( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_339),U_338),U_342))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_339),U_338),U_343)) )
| ( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_339),U_338),U_343))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_339),U_338),U_342)) ) ) ) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
( ! [U_355,U_353] :
( ( ! [U_351,U_349] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_353))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_355)) )
& ! [U_350,U_348] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_355))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_353)) ) )
| U_353 != U_355 )
& ! [U_354,U_352] :
( U_352 = U_354
| ? [U_347,U_345] :
( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_347),U_345),U_352))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_347),U_345),U_354)) )
| ? [U_346,U_344] :
( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_346),U_344),U_354))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_346),U_344),U_352)) ) ) ),
inference(miniscope,[status(thm)],[f_64_2]) ).
fof(f_64_4,plain,
( ! [U_355,U_353] :
( ( ! [U_351,U_349] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_353))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_355)) )
& ! [U_350,U_348] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_355))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_353)) ) )
| U_353 != U_355 )
& ! [U_354,U_352] :
( U_352 = U_354
| ? [U_347,U_345] :
( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_347),U_345),U_352))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_347),U_345),U_354)) )
| ? [U_344] :
( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),U_344),U_354))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),U_344),U_352)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_346,sK35(U_354,U_352))],[f_64_3]) ).
fof(f_64_5,plain,
( ! [U_355,U_353] :
( ( ! [U_351,U_349] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_353))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_355)) )
& ! [U_350,U_348] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_355))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_353)) ) )
| U_353 != U_355 )
& ! [U_354,U_352] :
( U_352 = U_354
| ? [U_347,U_345] :
( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_347),U_345),U_352))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_347),U_345),U_354)) )
| ( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),sK36(U_354,U_352)),U_354))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),sK36(U_354,U_352)),U_352)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_344,sK36(U_354,U_352))],[f_64_4]) ).
fof(f_64_6,plain,
( ! [U_355,U_353] :
( ( ! [U_351,U_349] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_353))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_355)) )
& ! [U_350,U_348] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_355))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_353)) ) )
| U_353 != U_355 )
& ! [U_354,U_352] :
( U_352 = U_354
| ? [U_345] :
( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK37(U_354,U_352)),U_345),U_352))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK37(U_354,U_352)),U_345),U_354)) )
| ( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),sK36(U_354,U_352)),U_354))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),sK36(U_354,U_352)),U_352)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_347,sK37(U_354,U_352))],[f_64_5]) ).
fof(f_64_7,plain,
( ! [U_355,U_353] :
( ( ! [U_351,U_349] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_353))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_355)) )
& ! [U_350,U_348] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_355))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_353)) ) )
| U_353 != U_355 )
& ! [U_354,U_352] :
( U_352 = U_354
| ( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK37(U_354,U_352)),sK38(U_354,U_352)),U_352))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK37(U_354,U_352)),sK38(U_354,U_352)),U_354)) )
| ( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),sK36(U_354,U_352)),U_354))
& hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),sK36(U_354,U_352)),U_352)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(U_345,sK38(U_354,U_352))],[f_64_6]) ).
cnf(f_64_8,plain,
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK37(U_354,U_352)),sK38(U_354,U_352)),U_354))
| hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),sK36(U_354,U_352)),U_352))
| U_352 = U_354 ),
inference(clausify,[status(thm)],[f_64_7]) ).
cnf(f_64_9,plain,
( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK37(U_354,U_352)),sK38(U_354,U_352)),U_352))
| hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),sK36(U_354,U_352)),U_352))
| U_352 = U_354 ),
inference(clausify,[status(thm)],[f_64_7]) ).
cnf(f_64_10,plain,
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK37(U_354,U_352)),sK38(U_354,U_352)),U_354))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),sK36(U_354,U_352)),U_354))
| U_352 = U_354 ),
inference(clausify,[status(thm)],[f_64_7]) ).
cnf(f_64_11,plain,
( ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK37(U_354,U_352)),sK38(U_354,U_352)),U_352))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_354,U_352)),sK36(U_354,U_352)),U_354))
| U_352 = U_354 ),
inference(clausify,[status(thm)],[f_64_7]) ).
cnf(f_64_12,plain,
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_355))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_350),U_348),U_353))
| U_353 != U_355 ),
inference(clausify,[status(thm)],[f_64_7]) ).
cnf(f_64_13,plain,
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_353))
| ~ hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_351),U_349),U_355))
| U_353 != U_355 ),
inference(clausify,[status(thm)],[f_64_7]) ).
fof(f_65_1,plain,
! [S_3,R_1] :
( ( ! [X,Xa] :
( ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Xa),R_1))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Xa),S_3)) )
& ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Xa),S_3))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Xa),R_1)) ) )
| R_1 != S_3 )
& ( R_1 = S_3
| ? [X,Xa] :
( ( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Xa),R_1))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Xa),S_3)) )
| ( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Xa),S_3))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Xa),R_1)) ) ) ) ),
inference(fof_nnf,[status(thm)],[fact_50_pred__equals__eq2]) ).
fof(f_65_2,plain,
! [U_361,U_360] :
( ( ! [U_359,U_358] :
( ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_359),U_358),U_360))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_359),U_358),U_361)) )
& ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_359),U_358),U_361))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_359),U_358),U_360)) ) )
| U_360 != U_361 )
& ( U_360 = U_361
| ? [U_357,U_356] :
( ( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_357),U_356),U_360))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_357),U_356),U_361)) )
| ( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_357),U_356),U_361))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_357),U_356),U_360)) ) ) ) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
( ! [U_373,U_371] :
( ( ! [U_369,U_367] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_371))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_373)) )
& ! [U_368,U_366] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_373))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_371)) ) )
| U_371 != U_373 )
& ! [U_372,U_370] :
( U_370 = U_372
| ? [U_365,U_363] :
( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_365),U_363),U_370))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_365),U_363),U_372)) )
| ? [U_364,U_362] :
( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_364),U_362),U_372))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_364),U_362),U_370)) ) ) ),
inference(miniscope,[status(thm)],[f_65_2]) ).
fof(f_65_4,plain,
( ! [U_373,U_371] :
( ( ! [U_369,U_367] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_371))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_373)) )
& ! [U_368,U_366] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_373))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_371)) ) )
| U_371 != U_373 )
& ! [U_372,U_370] :
( U_370 = U_372
| ? [U_365,U_363] :
( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_365),U_363),U_370))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_365),U_363),U_372)) )
| ? [U_362] :
( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),U_362),U_372))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),U_362),U_370)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(U_364,sK39(U_372,U_370))],[f_65_3]) ).
fof(f_65_5,plain,
( ! [U_373,U_371] :
( ( ! [U_369,U_367] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_371))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_373)) )
& ! [U_368,U_366] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_373))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_371)) ) )
| U_371 != U_373 )
& ! [U_372,U_370] :
( U_370 = U_372
| ? [U_365,U_363] :
( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_365),U_363),U_370))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_365),U_363),U_372)) )
| ( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),sK40(U_372,U_370)),U_372))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),sK40(U_372,U_370)),U_370)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(U_362,sK40(U_372,U_370))],[f_65_4]) ).
fof(f_65_6,plain,
( ! [U_373,U_371] :
( ( ! [U_369,U_367] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_371))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_373)) )
& ! [U_368,U_366] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_373))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_371)) ) )
| U_371 != U_373 )
& ! [U_372,U_370] :
( U_370 = U_372
| ? [U_363] :
( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK41(U_372,U_370)),U_363),U_370))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK41(U_372,U_370)),U_363),U_372)) )
| ( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),sK40(U_372,U_370)),U_372))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),sK40(U_372,U_370)),U_370)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(U_365,sK41(U_372,U_370))],[f_65_5]) ).
fof(f_65_7,plain,
( ! [U_373,U_371] :
( ( ! [U_369,U_367] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_371))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_373)) )
& ! [U_368,U_366] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_373))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_371)) ) )
| U_371 != U_373 )
& ! [U_372,U_370] :
( U_370 = U_372
| ( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK41(U_372,U_370)),sK42(U_372,U_370)),U_370))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK41(U_372,U_370)),sK42(U_372,U_370)),U_372)) )
| ( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),sK40(U_372,U_370)),U_372))
& hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),sK40(U_372,U_370)),U_370)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(U_363,sK42(U_372,U_370))],[f_65_6]) ).
cnf(f_65_8,plain,
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK41(U_372,U_370)),sK42(U_372,U_370)),U_372))
| hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),sK40(U_372,U_370)),U_370))
| U_370 = U_372 ),
inference(clausify,[status(thm)],[f_65_7]) ).
cnf(f_65_9,plain,
( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK41(U_372,U_370)),sK42(U_372,U_370)),U_370))
| hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),sK40(U_372,U_370)),U_370))
| U_370 = U_372 ),
inference(clausify,[status(thm)],[f_65_7]) ).
cnf(f_65_10,plain,
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK41(U_372,U_370)),sK42(U_372,U_370)),U_372))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),sK40(U_372,U_370)),U_372))
| U_370 = U_372 ),
inference(clausify,[status(thm)],[f_65_7]) ).
cnf(f_65_11,plain,
( ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK41(U_372,U_370)),sK42(U_372,U_370)),U_370))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK39(U_372,U_370)),sK40(U_372,U_370)),U_372))
| U_370 = U_372 ),
inference(clausify,[status(thm)],[f_65_7]) ).
cnf(f_65_12,plain,
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_373))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_368),U_366),U_371))
| U_371 != U_373 ),
inference(clausify,[status(thm)],[f_65_7]) ).
cnf(f_65_13,plain,
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_371))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_369),U_367),U_373))
| U_371 != U_373 ),
inference(clausify,[status(thm)],[f_65_7]) ).
fof(f_66_1,plain,
! [Y_1] :
? [A_15,B] : Y_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B),
inference(fof_nnf,[status(thm)],[fact_51_prod_Oexhaust]) ).
fof(f_66_2,plain,
! [U_376] :
? [U_375,U_374] : U_376 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_375),U_374),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
! [U_376] :
? [U_374] : U_376 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK43(U_376)),U_374),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(U_375,sK43(U_376))],[f_66_2]) ).
fof(f_66_4,plain,
! [U_376] : U_376 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK43(U_376)),sK44(U_376)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(U_374,sK44(U_376))],[f_66_3]) ).
cnf(f_66_5,plain,
U_376 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK43(U_376)),sK44(U_376)),
inference(clausify,[status(thm)],[f_66_4]) ).
fof(f_67_1,plain,
! [Y_1] :
? [A_15,B] : Y_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B),
inference(fof_nnf,[status(thm)],[fact_52_prod_Oexhaust]) ).
fof(f_67_2,plain,
! [U_379] :
? [U_378,U_377] : U_379 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_378),U_377),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
! [U_379] :
? [U_377] : U_379 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK45(U_379)),U_377),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_378,sK45(U_379))],[f_67_2]) ).
fof(f_67_4,plain,
! [U_379] : U_379 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK45(U_379)),sK46(U_379)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_377,sK46(U_379))],[f_67_3]) ).
cnf(f_67_5,plain,
U_379 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK45(U_379)),sK46(U_379)),
inference(clausify,[status(thm)],[f_67_4]) ).
fof(f_68_1,plain,
! [Y_1] :
? [A_15,B] : Y_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B),
inference(fof_nnf,[status(thm)],[fact_53_prod_Oexhaust]) ).
fof(f_68_2,plain,
! [U_382] :
? [U_381,U_380] : U_382 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_381),U_380),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
! [U_382] :
? [U_380] : U_382 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK47(U_382)),U_380),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(U_381,sK47(U_382))],[f_68_2]) ).
fof(f_68_4,plain,
! [U_382] : U_382 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK47(U_382)),sK48(U_382)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(U_380,sK48(U_382))],[f_68_3]) ).
cnf(f_68_5,plain,
U_382 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK47(U_382)),sK48(U_382)),
inference(clausify,[status(thm)],[f_68_4]) ).
fof(f_69_1,plain,
! [T_3,P_2,S_2,U_1] :
( hBOOL(widen_2090681816t_char(P_2,S_2,T_3))
| ~ hBOOL(widen_2090681816t_char(P_2,U_1,T_3))
| ~ hBOOL(widen_2090681816t_char(P_2,S_2,U_1)) ),
inference(fof_nnf,[status(thm)],[fact_54_widen__trans]) ).
fof(f_69_2,plain,
! [U_386,U_385,U_384,U_383] :
( hBOOL(widen_2090681816t_char(U_385,U_384,U_386))
| ~ hBOOL(widen_2090681816t_char(U_385,U_383,U_386))
| ~ hBOOL(widen_2090681816t_char(U_385,U_384,U_383)) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
cnf(f_69_3,plain,
( hBOOL(widen_2090681816t_char(U_385,U_384,U_386))
| ~ hBOOL(widen_2090681816t_char(U_385,U_383,U_386))
| ~ hBOOL(widen_2090681816t_char(U_385,U_384,U_383)) ),
inference(clausify,[status(thm)],[f_69_2]) ).
fof(f_70_1,plain,
hBOOL(wTrt(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,val_list_char(v)),ea)),t)),
inference(fof_nnf,[status(thm)],[fact_55_InitBlockRed_I5_J]) ).
cnf(f_70_2,plain,
hBOOL(wTrt(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,val_list_char(v)),ea)),t)),
inference(clausify,[status(thm)],[f_70_1]) ).
fof(f_71_1,plain,
! [Pa] :
( ( ? [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
| ! [A_15,B] : ~ hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B))) )
& ( ? [A_15,B] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B)))
| ! [X1] : ~ hBOOL(hAPP_P282169671l_bool(Pa,X1)) ) ),
inference(fof_nnf,[status(thm)],[fact_56_split__paired__Ex]) ).
fof(f_71_2,plain,
! [U_393] :
( ( ? [U_392] : hBOOL(hAPP_P282169671l_bool(U_393,U_392))
| ! [U_391,U_390] : ~ hBOOL(hAPP_P282169671l_bool(U_393,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_391),U_390))) )
& ( ? [U_389,U_388] : hBOOL(hAPP_P282169671l_bool(U_393,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_389),U_388)))
| ! [U_387] : ~ hBOOL(hAPP_P282169671l_bool(U_393,U_387)) ) ),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
( ! [U_395] :
( ? [U_392] : hBOOL(hAPP_P282169671l_bool(U_395,U_392))
| ! [U_391,U_390] : ~ hBOOL(hAPP_P282169671l_bool(U_395,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_391),U_390))) )
& ! [U_394] :
( ? [U_389,U_388] : hBOOL(hAPP_P282169671l_bool(U_394,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_389),U_388)))
| ! [U_387] : ~ hBOOL(hAPP_P282169671l_bool(U_394,U_387)) ) ),
inference(miniscope,[status(thm)],[f_71_2]) ).
fof(f_71_4,plain,
( ! [U_395] :
( ? [U_392] : hBOOL(hAPP_P282169671l_bool(U_395,U_392))
| ! [U_391,U_390] : ~ hBOOL(hAPP_P282169671l_bool(U_395,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_391),U_390))) )
& ! [U_394] :
( ? [U_388] : hBOOL(hAPP_P282169671l_bool(U_394,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK49(U_394)),U_388)))
| ! [U_387] : ~ hBOOL(hAPP_P282169671l_bool(U_394,U_387)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(U_389,sK49(U_394))],[f_71_3]) ).
fof(f_71_5,plain,
( ! [U_395] :
( ? [U_392] : hBOOL(hAPP_P282169671l_bool(U_395,U_392))
| ! [U_391,U_390] : ~ hBOOL(hAPP_P282169671l_bool(U_395,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_391),U_390))) )
& ! [U_394] :
( hBOOL(hAPP_P282169671l_bool(U_394,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK49(U_394)),sK50(U_394))))
| ! [U_387] : ~ hBOOL(hAPP_P282169671l_bool(U_394,U_387)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(U_388,sK50(U_394))],[f_71_4]) ).
fof(f_71_6,plain,
( ! [U_395] :
( hBOOL(hAPP_P282169671l_bool(U_395,sK51(U_395)))
| ! [U_391,U_390] : ~ hBOOL(hAPP_P282169671l_bool(U_395,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_391),U_390))) )
& ! [U_394] :
( hBOOL(hAPP_P282169671l_bool(U_394,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK49(U_394)),sK50(U_394))))
| ! [U_387] : ~ hBOOL(hAPP_P282169671l_bool(U_394,U_387)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(U_392,sK51(U_395))],[f_71_5]) ).
cnf(f_71_7,plain,
( hBOOL(hAPP_P282169671l_bool(U_394,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK49(U_394)),sK50(U_394))))
| ~ hBOOL(hAPP_P282169671l_bool(U_394,U_387)) ),
inference(clausify,[status(thm)],[f_71_6]) ).
cnf(f_71_8,plain,
( hBOOL(hAPP_P282169671l_bool(U_395,sK51(U_395)))
| ~ hBOOL(hAPP_P282169671l_bool(U_395,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_391),U_390))) ),
inference(clausify,[status(thm)],[f_71_6]) ).
fof(f_72_1,plain,
! [Pa] :
( ( ? [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
| ! [A_15,B] : ~ hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B))) )
& ( ? [A_15,B] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B)))
| ! [X1] : ~ hBOOL(hAPP_P1708370145l_bool(Pa,X1)) ) ),
inference(fof_nnf,[status(thm)],[fact_57_split__paired__Ex]) ).
fof(f_72_2,plain,
! [U_402] :
( ( ? [U_401] : hBOOL(hAPP_P1708370145l_bool(U_402,U_401))
| ! [U_400,U_399] : ~ hBOOL(hAPP_P1708370145l_bool(U_402,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_400),U_399))) )
& ( ? [U_398,U_397] : hBOOL(hAPP_P1708370145l_bool(U_402,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_398),U_397)))
| ! [U_396] : ~ hBOOL(hAPP_P1708370145l_bool(U_402,U_396)) ) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
( ! [U_404] :
( ? [U_401] : hBOOL(hAPP_P1708370145l_bool(U_404,U_401))
| ! [U_400,U_399] : ~ hBOOL(hAPP_P1708370145l_bool(U_404,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_400),U_399))) )
& ! [U_403] :
( ? [U_398,U_397] : hBOOL(hAPP_P1708370145l_bool(U_403,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_398),U_397)))
| ! [U_396] : ~ hBOOL(hAPP_P1708370145l_bool(U_403,U_396)) ) ),
inference(miniscope,[status(thm)],[f_72_2]) ).
fof(f_72_4,plain,
( ! [U_404] :
( ? [U_401] : hBOOL(hAPP_P1708370145l_bool(U_404,U_401))
| ! [U_400,U_399] : ~ hBOOL(hAPP_P1708370145l_bool(U_404,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_400),U_399))) )
& ! [U_403] :
( ? [U_397] : hBOOL(hAPP_P1708370145l_bool(U_403,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK52(U_403)),U_397)))
| ! [U_396] : ~ hBOOL(hAPP_P1708370145l_bool(U_403,U_396)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(U_398,sK52(U_403))],[f_72_3]) ).
fof(f_72_5,plain,
( ! [U_404] :
( ? [U_401] : hBOOL(hAPP_P1708370145l_bool(U_404,U_401))
| ! [U_400,U_399] : ~ hBOOL(hAPP_P1708370145l_bool(U_404,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_400),U_399))) )
& ! [U_403] :
( hBOOL(hAPP_P1708370145l_bool(U_403,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK52(U_403)),sK53(U_403))))
| ! [U_396] : ~ hBOOL(hAPP_P1708370145l_bool(U_403,U_396)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(U_397,sK53(U_403))],[f_72_4]) ).
fof(f_72_6,plain,
( ! [U_404] :
( hBOOL(hAPP_P1708370145l_bool(U_404,sK54(U_404)))
| ! [U_400,U_399] : ~ hBOOL(hAPP_P1708370145l_bool(U_404,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_400),U_399))) )
& ! [U_403] :
( hBOOL(hAPP_P1708370145l_bool(U_403,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK52(U_403)),sK53(U_403))))
| ! [U_396] : ~ hBOOL(hAPP_P1708370145l_bool(U_403,U_396)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(U_401,sK54(U_404))],[f_72_5]) ).
cnf(f_72_7,plain,
( hBOOL(hAPP_P1708370145l_bool(U_403,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK52(U_403)),sK53(U_403))))
| ~ hBOOL(hAPP_P1708370145l_bool(U_403,U_396)) ),
inference(clausify,[status(thm)],[f_72_6]) ).
cnf(f_72_8,plain,
( hBOOL(hAPP_P1708370145l_bool(U_404,sK54(U_404)))
| ~ hBOOL(hAPP_P1708370145l_bool(U_404,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_400),U_399))) ),
inference(clausify,[status(thm)],[f_72_6]) ).
fof(f_73_1,plain,
! [Pa] :
( ( ? [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
| ! [A_15,B] : ~ hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B))) )
& ( ? [A_15,B] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B)))
| ! [X1] : ~ hBOOL(hAPP_P159683425l_bool(Pa,X1)) ) ),
inference(fof_nnf,[status(thm)],[fact_58_split__paired__Ex]) ).
fof(f_73_2,plain,
! [U_411] :
( ( ? [U_410] : hBOOL(hAPP_P159683425l_bool(U_411,U_410))
| ! [U_409,U_408] : ~ hBOOL(hAPP_P159683425l_bool(U_411,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_409),U_408))) )
& ( ? [U_407,U_406] : hBOOL(hAPP_P159683425l_bool(U_411,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_407),U_406)))
| ! [U_405] : ~ hBOOL(hAPP_P159683425l_bool(U_411,U_405)) ) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
( ! [U_413] :
( ? [U_410] : hBOOL(hAPP_P159683425l_bool(U_413,U_410))
| ! [U_409,U_408] : ~ hBOOL(hAPP_P159683425l_bool(U_413,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_409),U_408))) )
& ! [U_412] :
( ? [U_407,U_406] : hBOOL(hAPP_P159683425l_bool(U_412,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_407),U_406)))
| ! [U_405] : ~ hBOOL(hAPP_P159683425l_bool(U_412,U_405)) ) ),
inference(miniscope,[status(thm)],[f_73_2]) ).
fof(f_73_4,plain,
( ! [U_413] :
( ? [U_410] : hBOOL(hAPP_P159683425l_bool(U_413,U_410))
| ! [U_409,U_408] : ~ hBOOL(hAPP_P159683425l_bool(U_413,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_409),U_408))) )
& ! [U_412] :
( ? [U_406] : hBOOL(hAPP_P159683425l_bool(U_412,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK55(U_412)),U_406)))
| ! [U_405] : ~ hBOOL(hAPP_P159683425l_bool(U_412,U_405)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(U_407,sK55(U_412))],[f_73_3]) ).
fof(f_73_5,plain,
( ! [U_413] :
( ? [U_410] : hBOOL(hAPP_P159683425l_bool(U_413,U_410))
| ! [U_409,U_408] : ~ hBOOL(hAPP_P159683425l_bool(U_413,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_409),U_408))) )
& ! [U_412] :
( hBOOL(hAPP_P159683425l_bool(U_412,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK55(U_412)),sK56(U_412))))
| ! [U_405] : ~ hBOOL(hAPP_P159683425l_bool(U_412,U_405)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(U_406,sK56(U_412))],[f_73_4]) ).
fof(f_73_6,plain,
( ! [U_413] :
( hBOOL(hAPP_P159683425l_bool(U_413,sK57(U_413)))
| ! [U_409,U_408] : ~ hBOOL(hAPP_P159683425l_bool(U_413,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_409),U_408))) )
& ! [U_412] :
( hBOOL(hAPP_P159683425l_bool(U_412,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK55(U_412)),sK56(U_412))))
| ! [U_405] : ~ hBOOL(hAPP_P159683425l_bool(U_412,U_405)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(U_410,sK57(U_413))],[f_73_5]) ).
cnf(f_73_7,plain,
( hBOOL(hAPP_P159683425l_bool(U_412,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK55(U_412)),sK56(U_412))))
| ~ hBOOL(hAPP_P159683425l_bool(U_412,U_405)) ),
inference(clausify,[status(thm)],[f_73_6]) ).
cnf(f_73_8,plain,
( hBOOL(hAPP_P159683425l_bool(U_413,sK57(U_413)))
| ~ hBOOL(hAPP_P159683425l_bool(U_413,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_409),U_408))) ),
inference(clausify,[status(thm)],[f_73_6]) ).
fof(f_74_1,plain,
! [P_1] :
? [X,Y] : P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y),
inference(fof_nnf,[status(thm)],[fact_59_PairE]) ).
fof(f_74_2,plain,
! [U_416] :
? [U_415,U_414] : U_416 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_415),U_414),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_416] :
? [U_414] : U_416 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK58(U_416)),U_414),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(U_415,sK58(U_416))],[f_74_2]) ).
fof(f_74_4,plain,
! [U_416] : U_416 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK58(U_416)),sK59(U_416)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(U_414,sK59(U_416))],[f_74_3]) ).
cnf(f_74_5,plain,
U_416 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK58(U_416)),sK59(U_416)),
inference(clausify,[status(thm)],[f_74_4]) ).
fof(f_75_1,plain,
! [P_1] :
? [X,Y] : P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y),
inference(fof_nnf,[status(thm)],[fact_60_PairE]) ).
fof(f_75_2,plain,
! [U_419] :
? [U_418,U_417] : U_419 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_418),U_417),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
! [U_419] :
? [U_417] : U_419 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK60(U_419)),U_417),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(U_418,sK60(U_419))],[f_75_2]) ).
fof(f_75_4,plain,
! [U_419] : U_419 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK60(U_419)),sK61(U_419)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(U_417,sK61(U_419))],[f_75_3]) ).
cnf(f_75_5,plain,
U_419 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK60(U_419)),sK61(U_419)),
inference(clausify,[status(thm)],[f_75_4]) ).
fof(f_76_1,plain,
! [P_1] :
? [X,Y] : P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y),
inference(fof_nnf,[status(thm)],[fact_61_PairE]) ).
fof(f_76_2,plain,
! [U_422] :
? [U_421,U_420] : U_422 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_421),U_420),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
! [U_422] :
? [U_420] : U_422 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK62(U_422)),U_420),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(U_421,sK62(U_422))],[f_76_2]) ).
fof(f_76_4,plain,
! [U_422] : U_422 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK62(U_422)),sK63(U_422)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(U_420,sK63(U_422))],[f_76_3]) ).
cnf(f_76_5,plain,
U_422 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK62(U_422)),sK63(U_422)),
inference(clausify,[status(thm)],[f_76_4]) ).
fof(f_77_1,plain,
! [C,A_10,B_1] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C,A_10),B_1)) )
& ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C,A_10),B_1))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_62_internal__split__conv]) ).
fof(f_77_2,plain,
! [U_425,U_424,U_423] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,U_425),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_424),U_423)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_425,U_424),U_423)) )
& ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_425,U_424),U_423))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,U_425),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_424),U_423))) ) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
( ! [U_431,U_429,U_427] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,U_431),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_429),U_427)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_431,U_429),U_427)) )
& ! [U_430,U_428,U_426] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_430,U_428),U_426))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,U_430),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_428),U_426))) ) ),
inference(miniscope,[status(thm)],[f_77_2]) ).
cnf(f_77_4,plain,
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_430,U_428),U_426))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,U_430),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_428),U_426))) ),
inference(clausify,[status(thm)],[f_77_3]) ).
cnf(f_77_5,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,U_431),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_429),U_427)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_431,U_429),U_427)) ),
inference(clausify,[status(thm)],[f_77_3]) ).
fof(f_78_1,plain,
! [Pa,Ea,S] :
( ( hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(Pa,Ea),S))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(Pa))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(Pa))),Ea))),S)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(Pa))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(Pa))),Ea))),S))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(Pa,Ea),S)) ) ),
inference(fof_nnf,[status(thm)],[fact_63_sconf__def]) ).
fof(f_78_2,plain,
! [U_434,U_433,U_432] :
( ( hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(U_434,U_433),U_432))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_434))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_434))),U_433))),U_432)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_434))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_434))),U_433))),U_432))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(U_434,U_433),U_432)) ) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
fof(f_78_3,plain,
( ! [U_440,U_438,U_436] :
( hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(U_440,U_438),U_436))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_440))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_440))),U_438))),U_436)) )
& ! [U_439,U_437,U_435] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_439))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_439))),U_437))),U_435))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(U_439,U_437),U_435)) ) ),
inference(miniscope,[status(thm)],[f_78_2]) ).
cnf(f_78_4,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_439))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_439))),U_437))),U_435))
| ~ hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(U_439,U_437),U_435)) ),
inference(clausify,[status(thm)],[f_78_3]) ).
cnf(f_78_5,plain,
( hBOOL(hAPP_P159683425l_bool(typeSa1234865140_sconf(U_440,U_438),U_436))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_440))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_440))),U_438))),U_436)) ),
inference(clausify,[status(thm)],[f_78_3]) ).
fof(f_79_1,plain,
! [F1,A_10,B_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A_10),B_1)) ),
inference(fof_nnf,[status(thm)],[fact_64_prod__caseI]) ).
fof(f_79_2,plain,
! [U_443,U_442,U_441] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_443),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_442),U_441)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_443,U_442),U_441)) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
cnf(f_79_3,plain,
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_443),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_442),U_441)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_443,U_442),U_441)) ),
inference(clausify,[status(thm)],[f_79_2]) ).
fof(f_80_1,plain,
! [F1,A_10,B_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A_10),B_1)) ),
inference(fof_nnf,[status(thm)],[fact_65_prod__caseI]) ).
fof(f_80_2,plain,
! [U_446,U_445,U_444] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_446),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_445),U_444)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_446,U_445),U_444)) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
cnf(f_80_3,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_446),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_445),U_444)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_446,U_445),U_444)) ),
inference(clausify,[status(thm)],[f_80_2]) ).
fof(f_81_1,plain,
! [F1,A_10,B_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A_10),B_1)) ),
inference(fof_nnf,[status(thm)],[fact_66_prod__caseI]) ).
fof(f_81_2,plain,
! [U_449,U_448,U_447] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_449),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_448),U_447)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_449,U_448),U_447)) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
cnf(f_81_3,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_449),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_448),U_447)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_449,U_448),U_447)) ),
inference(clausify,[status(thm)],[f_81_2]) ).
fof(f_82_1,plain,
! [F,A_10,B_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A_10),B_1)) ),
inference(fof_nnf,[status(thm)],[fact_67_splitI]) ).
fof(f_82_2,plain,
! [U_452,U_451,U_450] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_452),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_451),U_450)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_452,U_451),U_450)) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
cnf(f_82_3,plain,
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_452),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_451),U_450)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_452,U_451),U_450)) ),
inference(clausify,[status(thm)],[f_82_2]) ).
fof(f_83_1,plain,
! [F,A_10,B_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A_10),B_1)) ),
inference(fof_nnf,[status(thm)],[fact_68_splitI]) ).
fof(f_83_2,plain,
! [U_455,U_454,U_453] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_455),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_454),U_453)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_455,U_454),U_453)) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
cnf(f_83_3,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_455),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_454),U_453)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_455,U_454),U_453)) ),
inference(clausify,[status(thm)],[f_83_2]) ).
fof(f_84_1,plain,
! [F,A_10,B_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A_10),B_1)) ),
inference(fof_nnf,[status(thm)],[fact_69_splitI]) ).
fof(f_84_2,plain,
! [U_458,U_457,U_456] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_458),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_457),U_456)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_458,U_457),U_456)) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
cnf(f_84_3,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_458),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_457),U_456)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_458,U_457),U_456)) ),
inference(clausify,[status(thm)],[f_84_2]) ).
fof(f_85_1,plain,
! [F,A_10,B_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A_10),B_1))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1))) ),
inference(fof_nnf,[status(thm)],[fact_70_splitD]) ).
fof(f_85_2,plain,
! [U_461,U_460,U_459] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_461,U_460),U_459))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_461),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_460),U_459))) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
cnf(f_85_3,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_461,U_460),U_459))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_461),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_460),U_459))) ),
inference(clausify,[status(thm)],[f_85_2]) ).
fof(f_86_1,plain,
! [F,A_10,B_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A_10),B_1))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1))) ),
inference(fof_nnf,[status(thm)],[fact_71_splitD]) ).
fof(f_86_2,plain,
! [U_464,U_463,U_462] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_464,U_463),U_462))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_464),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_463),U_462))) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
cnf(f_86_3,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_464,U_463),U_462))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_464),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_463),U_462))) ),
inference(clausify,[status(thm)],[f_86_2]) ).
fof(f_87_1,plain,
! [F,A_10,B_1] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A_10),B_1))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1))) ),
inference(fof_nnf,[status(thm)],[fact_72_splitD]) ).
fof(f_87_2,plain,
! [U_467,U_466,U_465] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_467,U_466),U_465))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_467),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_466),U_465))) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
cnf(f_87_3,plain,
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_467,U_466),U_465))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_467),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_466),U_465))) ),
inference(clausify,[status(thm)],[f_87_2]) ).
fof(f_88_1,plain,
! [C,P_1,Q_2] :
( ( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C),P_1))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C),Q_2)) )
& ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C),Q_2))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C),P_1)) ) )
| P_1 != Q_2 ),
inference(fof_nnf,[status(thm)],[fact_73_split__weak__cong]) ).
fof(f_88_2,plain,
! [U_470,U_469,U_468] :
( ( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_470),U_469))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_470),U_468)) )
& ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_470),U_468))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_470),U_469)) ) )
| U_469 != U_468 ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
cnf(f_88_3,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_470),U_468))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_470),U_469))
| U_469 != U_468 ),
inference(clausify,[status(thm)],[f_88_2]) ).
cnf(f_88_4,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_470),U_469))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_470),U_468))
| U_469 != U_468 ),
inference(clausify,[status(thm)],[f_88_2]) ).
fof(f_89_1,plain,
! [C,P_1,Q_2] :
( ( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C),P_1))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C),Q_2)) )
& ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C),Q_2))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C),P_1)) ) )
| P_1 != Q_2 ),
inference(fof_nnf,[status(thm)],[fact_74_split__weak__cong]) ).
fof(f_89_2,plain,
! [U_473,U_472,U_471] :
( ( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_473),U_472))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_473),U_471)) )
& ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_473),U_471))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_473),U_472)) ) )
| U_472 != U_471 ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
cnf(f_89_3,plain,
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_473),U_471))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_473),U_472))
| U_472 != U_471 ),
inference(clausify,[status(thm)],[f_89_2]) ).
cnf(f_89_4,plain,
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_473),U_472))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_473),U_471))
| U_472 != U_471 ),
inference(clausify,[status(thm)],[f_89_2]) ).
fof(f_90_1,plain,
! [C,P_1,Q_2] :
( ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C),P_1))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C),Q_2)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C),Q_2))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C),P_1)) ) )
| P_1 != Q_2 ),
inference(fof_nnf,[status(thm)],[fact_75_split__weak__cong]) ).
fof(f_90_2,plain,
! [U_476,U_475,U_474] :
( ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_476),U_475))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_476),U_474)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_476),U_474))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_476),U_475)) ) )
| U_475 != U_474 ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
cnf(f_90_3,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_476),U_474))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_476),U_475))
| U_475 != U_474 ),
inference(clausify,[status(thm)],[f_90_2]) ).
cnf(f_90_4,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_476),U_475))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_476),U_474))
| U_475 != U_474 ),
inference(clausify,[status(thm)],[f_90_2]) ).
fof(f_91_1,plain,
produc399384568l_bool = produc1815960045l_bool,
inference(fof_nnf,[status(thm)],[fact_76_internal__split__def]) ).
cnf(f_91_2,plain,
produc399384568l_bool = produc1815960045l_bool,
inference(clausify,[status(thm)],[f_91_1]) ).
fof(f_92_1,plain,
produc1988544340l_bool = produc1911463199l_bool,
inference(fof_nnf,[status(thm)],[fact_77_internal__split__def]) ).
cnf(f_92_2,plain,
produc1988544340l_bool = produc1911463199l_bool,
inference(clausify,[status(thm)],[f_92_1]) ).
fof(f_93_1,plain,
produc2128769400l_bool = produc1958875245l_bool,
inference(fof_nnf,[status(thm)],[fact_78_internal__split__def]) ).
cnf(f_93_2,plain,
produc2128769400l_bool = produc1958875245l_bool,
inference(clausify,[status(thm)],[f_93_1]) ).
fof(f_94_1,plain,
! [F,G,P_1] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,G),P_1)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) )
& ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,G),P_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_79_split__twice]) ).
fof(f_94_2,plain,
! [U_479,U_478,U_477] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_479),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,U_478),U_477)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_479))),U_478)),U_477)) )
& ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_479))),U_478)),U_477))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_479),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,U_478),U_477))) ) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
( ! [U_485,U_483,U_481] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_485),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,U_483),U_481)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_485))),U_483)),U_481)) )
& ! [U_484,U_482,U_480] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_484))),U_482)),U_480))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_484),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,U_482),U_480))) ) ),
inference(miniscope,[status(thm)],[f_94_2]) ).
cnf(f_94_4,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_484))),U_482)),U_480))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_484),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,U_482),U_480))) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_5,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_485),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,U_483),U_481)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_485))),U_483)),U_481)) ),
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
! [F,G,P_1] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,G),P_1)))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) )
& ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,G),P_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_80_split__twice]) ).
fof(f_95_2,plain,
! [U_488,U_487,U_486] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_488),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,U_487),U_486)))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_488))),U_487)),U_486)) )
& ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_488))),U_487)),U_486))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_488),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,U_487),U_486))) ) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
( ! [U_494,U_492,U_490] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_494),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,U_492),U_490)))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_494))),U_492)),U_490)) )
& ! [U_493,U_491,U_489] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_493))),U_491)),U_489))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_493),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,U_491),U_489))) ) ),
inference(miniscope,[status(thm)],[f_95_2]) ).
cnf(f_95_4,plain,
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_493))),U_491)),U_489))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_493),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,U_491),U_489))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_5,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_494),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,U_492),U_490)))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,U_494))),U_492)),U_490)) ),
inference(clausify,[status(thm)],[f_95_3]) ).
fof(f_96_1,plain,
! [F,G,P_1] :
( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,G),P_1)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,F))),G)),P_1)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,F))),G)),P_1))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,G),P_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_81_split__twice]) ).
fof(f_96_2,plain,
! [U_497,U_496,U_495] :
( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_497),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,U_496),U_495)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,U_497))),U_496)),U_495)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,U_497))),U_496)),U_495))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_497),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,U_496),U_495))) ) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
( ! [U_503,U_501,U_499] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_503),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,U_501),U_499)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,U_503))),U_501)),U_499)) )
& ! [U_502,U_500,U_498] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,U_502))),U_500)),U_498))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_502),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,U_500),U_498))) ) ),
inference(miniscope,[status(thm)],[f_96_2]) ).
cnf(f_96_4,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,U_502))),U_500)),U_498))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_502),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,U_500),U_498))) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_5,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_503),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,U_501),U_499)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,U_503))),U_501)),U_499)) ),
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
! [F,G,P_1] :
( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,G),P_1)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,F))),G)),P_1)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,F))),G)),P_1))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,G),P_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_82_split__twice]) ).
fof(f_97_2,plain,
! [U_506,U_505,U_504] :
( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_506),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,U_505),U_504)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,U_506))),U_505)),U_504)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,U_506))),U_505)),U_504))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_506),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,U_505),U_504))) ) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
( ! [U_512,U_510,U_508] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_512),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,U_510),U_508)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,U_512))),U_510)),U_508)) )
& ! [U_511,U_509,U_507] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,U_511))),U_509)),U_507))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_511),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,U_509),U_507))) ) ),
inference(miniscope,[status(thm)],[f_97_2]) ).
cnf(f_97_4,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,U_511))),U_509)),U_507))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_511),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,U_509),U_507))) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_5,plain,
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_512),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,U_510),U_508)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,U_512))),U_510)),U_508)) ),
inference(clausify,[status(thm)],[f_97_3]) ).
fof(f_98_1,plain,
! [Pa,Q_1,X] :
( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,Q_1),X))
| ~ hBOOL(Pa) )
& ( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,Q_1),X))
& hBOOL(Pa) )
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X)) ) ),
inference(fof_nnf,[status(thm)],[fact_83_split__part]) ).
fof(f_98_2,plain,
! [U_515,U_514,U_513] :
( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,U_515))),U_514)),U_513))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_514),U_513))
| ~ hBOOL(U_515) )
& ( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_514),U_513))
& hBOOL(U_515) )
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,U_515))),U_514)),U_513)) ) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
( ! [U_521,U_519,U_517] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,U_521))),U_519)),U_517))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_519),U_517))
| ~ hBOOL(U_521) )
& ! [U_520,U_518,U_516] :
( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_518),U_516))
& hBOOL(U_520) )
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,U_520))),U_518)),U_516)) ) ),
inference(miniscope,[status(thm)],[f_98_2]) ).
cnf(f_98_4,plain,
( hBOOL(U_520)
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,U_520))),U_518)),U_516)) ),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_5,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_518),U_516))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,U_520))),U_518)),U_516)) ),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_6,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,U_521))),U_519)),U_517))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_519),U_517))
| ~ hBOOL(U_521) ),
inference(clausify,[status(thm)],[f_98_3]) ).
fof(f_99_1,plain,
! [Pa,Q_1,X] :
( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,Q_1),X))
| ~ hBOOL(Pa) )
& ( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,Q_1),X))
& hBOOL(Pa) )
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X)) ) ),
inference(fof_nnf,[status(thm)],[fact_84_split__part]) ).
fof(f_99_2,plain,
! [U_524,U_523,U_522] :
( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,U_524))),U_523)),U_522))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_523),U_522))
| ~ hBOOL(U_524) )
& ( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_523),U_522))
& hBOOL(U_524) )
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,U_524))),U_523)),U_522)) ) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
( ! [U_530,U_528,U_526] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,U_530))),U_528)),U_526))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_528),U_526))
| ~ hBOOL(U_530) )
& ! [U_529,U_527,U_525] :
( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_527),U_525))
& hBOOL(U_529) )
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,U_529))),U_527)),U_525)) ) ),
inference(miniscope,[status(thm)],[f_99_2]) ).
cnf(f_99_4,plain,
( hBOOL(U_529)
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,U_529))),U_527)),U_525)) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_5,plain,
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_527),U_525))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,U_529))),U_527)),U_525)) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_6,plain,
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,U_530))),U_528)),U_526))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_528),U_526))
| ~ hBOOL(U_530) ),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
! [Pa,Q_1,X] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Q_1),X))
| ~ hBOOL(Pa) )
& ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Q_1),X))
& hBOOL(Pa) )
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X)) ) ),
inference(fof_nnf,[status(thm)],[fact_85_split__part]) ).
fof(f_100_2,plain,
! [U_533,U_532,U_531] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_533))),U_532)),U_531))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_532),U_531))
| ~ hBOOL(U_533) )
& ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_532),U_531))
& hBOOL(U_533) )
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_533))),U_532)),U_531)) ) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
( ! [U_539,U_537,U_535] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_539))),U_537)),U_535))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_537),U_535))
| ~ hBOOL(U_539) )
& ! [U_538,U_536,U_534] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_536),U_534))
& hBOOL(U_538) )
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_538))),U_536)),U_534)) ) ),
inference(miniscope,[status(thm)],[f_100_2]) ).
cnf(f_100_4,plain,
( hBOOL(U_538)
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_538))),U_536)),U_534)) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_5,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_536),U_534))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_538))),U_536)),U_534)) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_6,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_539))),U_537)),U_535))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_537),U_535))
| ~ hBOOL(U_539) ),
inference(clausify,[status(thm)],[f_100_3]) ).
fof(f_101_1,plain,
! [F1,A_10,B_1] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A_10),B_1)) )
& ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A_10),B_1))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_86_prod_Osimps_I2_J]) ).
fof(f_101_2,plain,
! [U_542,U_541,U_540] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_542),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_541),U_540)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_542,U_541),U_540)) )
& ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_542,U_541),U_540))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_542),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_541),U_540))) ) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
( ! [U_548,U_546,U_544] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_548),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_546),U_544)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_548,U_546),U_544)) )
& ! [U_547,U_545,U_543] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_547,U_545),U_543))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_547),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_545),U_543))) ) ),
inference(miniscope,[status(thm)],[f_101_2]) ).
cnf(f_101_4,plain,
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_547,U_545),U_543))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_547),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_545),U_543))) ),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_5,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_548),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_546),U_544)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_548,U_546),U_544)) ),
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_1,plain,
! [F1,A_10,B_1] :
( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A_10),B_1)) )
& ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A_10),B_1))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_87_prod_Osimps_I2_J]) ).
fof(f_102_2,plain,
! [U_551,U_550,U_549] :
( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_551),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_550),U_549)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_551,U_550),U_549)) )
& ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_551,U_550),U_549))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_551),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_550),U_549))) ) ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
( ! [U_557,U_555,U_553] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_557),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_555),U_553)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_557,U_555),U_553)) )
& ! [U_556,U_554,U_552] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_556,U_554),U_552))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_556),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_554),U_552))) ) ),
inference(miniscope,[status(thm)],[f_102_2]) ).
cnf(f_102_4,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_556,U_554),U_552))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_556),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_554),U_552))) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_5,plain,
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_557),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_555),U_553)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_557,U_555),U_553)) ),
inference(clausify,[status(thm)],[f_102_3]) ).
fof(f_103_1,plain,
! [F1,A_10,B_1] :
( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A_10),B_1)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A_10),B_1))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_88_prod_Osimps_I2_J]) ).
fof(f_103_2,plain,
! [U_560,U_559,U_558] :
( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_560),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_559),U_558)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_560,U_559),U_558)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_560,U_559),U_558))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_560),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_559),U_558))) ) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
( ! [U_566,U_564,U_562] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_566),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_564),U_562)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_566,U_564),U_562)) )
& ! [U_565,U_563,U_561] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_565,U_563),U_561))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_565),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_563),U_561))) ) ),
inference(miniscope,[status(thm)],[f_103_2]) ).
cnf(f_103_4,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_565,U_563),U_561))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_565),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_563),U_561))) ),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_5,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_566),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_564),U_562)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_566,U_564),U_562)) ),
inference(clausify,[status(thm)],[f_103_3]) ).
fof(f_104_1,plain,
! [F,A_10,B_1] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A_10),B_1)) )
& ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A_10),B_1))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_89_split__conv]) ).
fof(f_104_2,plain,
! [U_569,U_568,U_567] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_569),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_568),U_567)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_569,U_568),U_567)) )
& ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_569,U_568),U_567))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_569),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_568),U_567))) ) ),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
( ! [U_575,U_573,U_571] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_575),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_573),U_571)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_575,U_573),U_571)) )
& ! [U_574,U_572,U_570] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_574,U_572),U_570))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_574),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_572),U_570))) ) ),
inference(miniscope,[status(thm)],[f_104_2]) ).
cnf(f_104_4,plain,
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_574,U_572),U_570))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_574),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_572),U_570))) ),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_5,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_575),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_573),U_571)))
| ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_575,U_573),U_571)) ),
inference(clausify,[status(thm)],[f_104_3]) ).
fof(f_105_1,plain,
! [F,A_10,B_1] :
( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A_10),B_1)) )
& ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A_10),B_1))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_90_split__conv]) ).
fof(f_105_2,plain,
! [U_578,U_577,U_576] :
( ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_578),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_577),U_576)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_578,U_577),U_576)) )
& ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_578,U_577),U_576))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_578),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_577),U_576))) ) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
( ! [U_584,U_582,U_580] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_584),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_582),U_580)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_584,U_582),U_580)) )
& ! [U_583,U_581,U_579] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_583,U_581),U_579))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_583),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_581),U_579))) ) ),
inference(miniscope,[status(thm)],[f_105_2]) ).
cnf(f_105_4,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_583,U_581),U_579))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_583),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_581),U_579))) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_5,plain,
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_584),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_582),U_580)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_584,U_582),U_580)) ),
inference(clausify,[status(thm)],[f_105_3]) ).
fof(f_106_1,plain,
! [F,A_10,B_1] :
( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A_10),B_1)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A_10),B_1))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1))) ) ),
inference(fof_nnf,[status(thm)],[fact_91_split__conv]) ).
fof(f_106_2,plain,
! [U_587,U_586,U_585] :
( ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_587),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_586),U_585)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_587,U_586),U_585)) )
& ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_587,U_586),U_585))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_587),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_586),U_585))) ) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
( ! [U_593,U_591,U_589] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_593),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_591),U_589)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_593,U_591),U_589)) )
& ! [U_592,U_590,U_588] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_592,U_590),U_588))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_592),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_590),U_588))) ) ),
inference(miniscope,[status(thm)],[f_106_2]) ).
cnf(f_106_4,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_592,U_590),U_588))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_592),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_590),U_588))) ),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_5,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_593),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_591),U_589)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_593,U_591),U_589)) ),
inference(clausify,[status(thm)],[f_106_3]) ).
fof(f_107_1,plain,
! [F] : hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,F)),produc899768717on_val)) = F,
inference(fof_nnf,[status(thm)],[fact_92_split__eta]) ).
fof(f_107_2,plain,
! [U_594] : hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,U_594)),produc899768717on_val)) = U_594,
inference(variable_rename,[status(thm)],[f_107_1]) ).
cnf(f_107_3,plain,
hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,U_594)),produc899768717on_val)) = U_594,
inference(clausify,[status(thm)],[f_107_2]) ).
fof(f_108_1,plain,
! [F] : hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1342895119l_bool(hAPP_f639265145l_bool(cOMBB_364363975on_val,hAPP_f365540729l_bool(cOMBB_1466662571on_val,F)),produc1441475159on_val)) = F,
inference(fof_nnf,[status(thm)],[fact_93_split__eta]) ).
fof(f_108_2,plain,
! [U_595] : hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1342895119l_bool(hAPP_f639265145l_bool(cOMBB_364363975on_val,hAPP_f365540729l_bool(cOMBB_1466662571on_val,U_595)),produc1441475159on_val)) = U_595,
inference(variable_rename,[status(thm)],[f_108_1]) ).
cnf(f_108_3,plain,
hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1342895119l_bool(hAPP_f639265145l_bool(cOMBB_364363975on_val,hAPP_f365540729l_bool(cOMBB_1466662571on_val,U_595)),produc1441475159on_val)) = U_595,
inference(clausify,[status(thm)],[f_108_2]) ).
fof(f_109_1,plain,
! [F] : hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f439412817l_bool(hAPP_f1725502637l_bool(cOMBB_1027621637t_char,hAPP_f10074679l_bool(cOMBB_1759207793on_val,F)),produc1259058957on_val)) = F,
inference(fof_nnf,[status(thm)],[fact_94_split__eta]) ).
fof(f_109_2,plain,
! [U_596] : hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f439412817l_bool(hAPP_f1725502637l_bool(cOMBB_1027621637t_char,hAPP_f10074679l_bool(cOMBB_1759207793on_val,U_596)),produc1259058957on_val)) = U_596,
inference(variable_rename,[status(thm)],[f_109_1]) ).
cnf(f_109_3,plain,
hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f439412817l_bool(hAPP_f1725502637l_bool(cOMBB_1027621637t_char,hAPP_f10074679l_bool(cOMBB_1759207793on_val,U_596)),produc1259058957on_val)) = U_596,
inference(clausify,[status(thm)],[f_109_2]) ).
fof(f_110_1,plain,
! [Ta,V_a,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(V_a)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))),red(Pa)))
| hAPP_l207779698on_val(L_b,Va_1) != some_val(V_a)
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,some_val(Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) ),
inference(fof_nnf,[status(thm)],[fact_95_red__reds_OInitBlockRed]) ).
fof(f_110_2,plain,
! [U_607,U_606,U_605,U_604,U_603,U_602,U_601,U_600,U_599,U_598,U_597] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_602,U_607,seq_list_char(lAss_list_char(U_602,val_list_char(U_601)),U_605))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_604),U_603))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_602,U_607,seq_list_char(lAss_list_char(U_602,val_list_char(U_606)),U_600))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_599),fun_up1149430426on_val(U_598,U_602,hAPP_l207779698on_val(U_603,U_602))))),red(U_597)))
| hAPP_l207779698on_val(U_598,U_602) != some_val(U_606)
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_605),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_604),fun_up1149430426on_val(U_603,U_602,some_val(U_601))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_600),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_599),U_598))),red(U_597))) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
cnf(f_110_3,plain,
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_602,U_607,seq_list_char(lAss_list_char(U_602,val_list_char(U_601)),U_605))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_604),U_603))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_602,U_607,seq_list_char(lAss_list_char(U_602,val_list_char(U_606)),U_600))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_599),fun_up1149430426on_val(U_598,U_602,hAPP_l207779698on_val(U_603,U_602))))),red(U_597)))
| hAPP_l207779698on_val(U_598,U_602) != some_val(U_606)
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_605),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_604),fun_up1149430426on_val(U_603,U_602,some_val(U_601))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_600),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_599),U_598))),red(U_597))) ),
inference(clausify,[status(thm)],[f_110_2]) ).
fof(f_111_1,plain,
! [Va_1,Ta,Va,U,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),val_list_char(U)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(U)),S)),red(Pa))),
inference(fof_nnf,[status(thm)],[fact_96_red__reds_ORedInitBlock]) ).
fof(f_111_2,plain,
! [U_613,U_612,U_611,U_610,U_609,U_608] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_613,U_612,seq_list_char(lAss_list_char(U_613,val_list_char(U_611)),val_list_char(U_610)))),U_609)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(U_610)),U_609)),red(U_608))),
inference(variable_rename,[status(thm)],[f_111_1]) ).
cnf(f_111_3,plain,
hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_613,U_612,seq_list_char(lAss_list_char(U_613,val_list_char(U_611)),val_list_char(U_610)))),U_609)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(U_610)),U_609)),red(U_608))),
inference(clausify,[status(thm)],[f_111_2]) ).
fof(f_112_1,plain,
! [C,P_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C),P_1))
| ? [A_15,B] :
( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C,A_15),B))
& P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B) ) ),
inference(fof_nnf,[status(thm)],[fact_97_splitI2]) ).
fof(f_112_2,plain,
! [U_617,U_616] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_617),U_616))
| ? [U_615,U_614] :
( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_617,U_615),U_614))
& U_616 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_615),U_614) ) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
! [U_617,U_616] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_617),U_616))
| ? [U_614] :
( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_617,sK64(U_617,U_616)),U_614))
& U_616 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK64(U_617,U_616)),U_614) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(U_615,sK64(U_617,U_616))],[f_112_2]) ).
fof(f_112_4,plain,
! [U_617,U_616] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_617),U_616))
| ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_617,sK64(U_617,U_616)),sK65(U_617,U_616)))
& U_616 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK64(U_617,U_616)),sK65(U_617,U_616)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(U_614,sK65(U_617,U_616))],[f_112_3]) ).
cnf(f_112_5,plain,
( U_616 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK64(U_617,U_616)),sK65(U_617,U_616))
| hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_617),U_616)) ),
inference(clausify,[status(thm)],[f_112_4]) ).
cnf(f_112_6,plain,
( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_617,sK64(U_617,U_616)),sK65(U_617,U_616)))
| hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_617),U_616)) ),
inference(clausify,[status(thm)],[f_112_4]) ).
fof(f_113_1,plain,
! [C,P_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C),P_1))
| ? [A_15,B] :
( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C,A_15),B))
& P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B) ) ),
inference(fof_nnf,[status(thm)],[fact_98_splitI2]) ).
fof(f_113_2,plain,
! [U_621,U_620] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_621),U_620))
| ? [U_619,U_618] :
( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_621,U_619),U_618))
& U_620 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_619),U_618) ) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
! [U_621,U_620] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_621),U_620))
| ? [U_618] :
( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_621,sK66(U_621,U_620)),U_618))
& U_620 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK66(U_621,U_620)),U_618) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(U_619,sK66(U_621,U_620))],[f_113_2]) ).
fof(f_113_4,plain,
! [U_621,U_620] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_621),U_620))
| ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_621,sK66(U_621,U_620)),sK67(U_621,U_620)))
& U_620 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK66(U_621,U_620)),sK67(U_621,U_620)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(U_618,sK67(U_621,U_620))],[f_113_3]) ).
cnf(f_113_5,plain,
( U_620 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK66(U_621,U_620)),sK67(U_621,U_620))
| hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_621),U_620)) ),
inference(clausify,[status(thm)],[f_113_4]) ).
cnf(f_113_6,plain,
( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_621,sK66(U_621,U_620)),sK67(U_621,U_620)))
| hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_621),U_620)) ),
inference(clausify,[status(thm)],[f_113_4]) ).
fof(f_114_1,plain,
! [C,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C),P_1))
| ? [A_15,B] :
( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C,A_15),B))
& P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B) ) ),
inference(fof_nnf,[status(thm)],[fact_99_splitI2]) ).
fof(f_114_2,plain,
! [U_625,U_624] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_625),U_624))
| ? [U_623,U_622] :
( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_625,U_623),U_622))
& U_624 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_623),U_622) ) ),
inference(variable_rename,[status(thm)],[f_114_1]) ).
fof(f_114_3,plain,
! [U_625,U_624] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_625),U_624))
| ? [U_622] :
( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_625,sK68(U_625,U_624)),U_622))
& U_624 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK68(U_625,U_624)),U_622) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(U_623,sK68(U_625,U_624))],[f_114_2]) ).
fof(f_114_4,plain,
! [U_625,U_624] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_625),U_624))
| ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_625,sK68(U_625,U_624)),sK69(U_625,U_624)))
& U_624 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK68(U_625,U_624)),sK69(U_625,U_624)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(U_622,sK69(U_625,U_624))],[f_114_3]) ).
cnf(f_114_5,plain,
( U_624 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK68(U_625,U_624)),sK69(U_625,U_624))
| hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_625),U_624)) ),
inference(clausify,[status(thm)],[f_114_4]) ).
cnf(f_114_6,plain,
( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_625,sK68(U_625,U_624)),sK69(U_625,U_624)))
| hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_625),U_624)) ),
inference(clausify,[status(thm)],[f_114_4]) ).
fof(f_115_1,plain,
! [C,P_1] :
( ? [X,Y] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C,X),Y))
& P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y) )
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C),P_1)) ),
inference(fof_nnf,[status(thm)],[fact_100_splitE]) ).
fof(f_115_2,plain,
! [U_629,U_628] :
( ? [U_627,U_626] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_629,U_627),U_626))
& U_628 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_627),U_626) )
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_629),U_628)) ),
inference(variable_rename,[status(thm)],[f_115_1]) ).
fof(f_115_3,plain,
! [U_629,U_628] :
( ? [U_626] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_629,sK70(U_629,U_628)),U_626))
& U_628 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK70(U_629,U_628)),U_626) )
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_629),U_628)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(U_627,sK70(U_629,U_628))],[f_115_2]) ).
fof(f_115_4,plain,
! [U_629,U_628] :
( ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_629,sK70(U_629,U_628)),sK71(U_629,U_628)))
& U_628 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK70(U_629,U_628)),sK71(U_629,U_628)) )
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_629),U_628)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(U_626,sK71(U_629,U_628))],[f_115_3]) ).
cnf(f_115_5,plain,
( U_628 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK70(U_629,U_628)),sK71(U_629,U_628))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_629),U_628)) ),
inference(clausify,[status(thm)],[f_115_4]) ).
cnf(f_115_6,plain,
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_629,sK70(U_629,U_628)),sK71(U_629,U_628)))
| ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_629),U_628)) ),
inference(clausify,[status(thm)],[f_115_4]) ).
fof(f_116_1,plain,
! [C,P_1] :
( ? [X,Y] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C,X),Y))
& P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y) )
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C),P_1)) ),
inference(fof_nnf,[status(thm)],[fact_101_splitE]) ).
fof(f_116_2,plain,
! [U_633,U_632] :
( ? [U_631,U_630] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_633,U_631),U_630))
& U_632 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_631),U_630) )
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_633),U_632)) ),
inference(variable_rename,[status(thm)],[f_116_1]) ).
fof(f_116_3,plain,
! [U_633,U_632] :
( ? [U_630] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_633,sK72(U_633,U_632)),U_630))
& U_632 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK72(U_633,U_632)),U_630) )
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_633),U_632)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(U_631,sK72(U_633,U_632))],[f_116_2]) ).
fof(f_116_4,plain,
! [U_633,U_632] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_633,sK72(U_633,U_632)),sK73(U_633,U_632)))
& U_632 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK72(U_633,U_632)),sK73(U_633,U_632)) )
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_633),U_632)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(U_630,sK73(U_633,U_632))],[f_116_3]) ).
cnf(f_116_5,plain,
( U_632 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK72(U_633,U_632)),sK73(U_633,U_632))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_633),U_632)) ),
inference(clausify,[status(thm)],[f_116_4]) ).
cnf(f_116_6,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_633,sK72(U_633,U_632)),sK73(U_633,U_632)))
| ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_633),U_632)) ),
inference(clausify,[status(thm)],[f_116_4]) ).
fof(f_117_1,plain,
! [C,P_1] :
( ? [X,Y] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C,X),Y))
& P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y) )
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C),P_1)) ),
inference(fof_nnf,[status(thm)],[fact_102_splitE]) ).
fof(f_117_2,plain,
! [U_637,U_636] :
( ? [U_635,U_634] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_637,U_635),U_634))
& U_636 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_635),U_634) )
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_637),U_636)) ),
inference(variable_rename,[status(thm)],[f_117_1]) ).
fof(f_117_3,plain,
! [U_637,U_636] :
( ? [U_634] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_637,sK74(U_637,U_636)),U_634))
& U_636 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK74(U_637,U_636)),U_634) )
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_637),U_636)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(U_635,sK74(U_637,U_636))],[f_117_2]) ).
fof(f_117_4,plain,
! [U_637,U_636] :
( ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_637,sK74(U_637,U_636)),sK75(U_637,U_636)))
& U_636 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK74(U_637,U_636)),sK75(U_637,U_636)) )
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_637),U_636)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(U_634,sK75(U_637,U_636))],[f_117_3]) ).
cnf(f_117_5,plain,
( U_636 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK74(U_637,U_636)),sK75(U_637,U_636))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_637),U_636)) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_6,plain,
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_637,sK74(U_637,U_636)),sK75(U_637,U_636)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_637),U_636)) ),
inference(clausify,[status(thm)],[f_117_4]) ).
fof(f_118_1,plain,
! [Pa,Hb,Ea,Va_1,Ta,Eb,T_a] :
( hBOOL(wTrt(Pa,Hb,Ea,block_list_char(Va_1,Ta,Eb),T_a))
| ~ hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,some_ty(Ta)),Eb,T_a)) ),
inference(fof_nnf,[status(thm)],[fact_103_WTrtBlock]) ).
fof(f_118_2,plain,
! [U_644,U_643,U_642,U_641,U_640,U_639,U_638] :
( hBOOL(wTrt(U_644,U_643,U_642,block_list_char(U_641,U_640,U_639),U_638))
| ~ hBOOL(wTrt(U_644,U_643,fun_up424764369ion_ty(U_642,U_641,some_ty(U_640)),U_639,U_638)) ),
inference(variable_rename,[status(thm)],[f_118_1]) ).
cnf(f_118_3,plain,
( hBOOL(wTrt(U_644,U_643,U_642,block_list_char(U_641,U_640,U_639),U_638))
| ~ hBOOL(wTrt(U_644,U_643,fun_up424764369ion_ty(U_642,U_641,some_ty(U_640)),U_639,U_638)) ),
inference(clausify,[status(thm)],[f_118_2]) ).
fof(f_119_1,plain,
! [Z,C,A_10,B_1] :
( hBOOL(member763590124on_val(Z,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,C),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1))))
| ~ hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(C,A_10),B_1))) ),
inference(fof_nnf,[status(thm)],[fact_104_mem__splitI]) ).
fof(f_119_2,plain,
! [U_648,U_647,U_646,U_645] :
( hBOOL(member763590124on_val(U_648,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_647),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_646),U_645))))
| ~ hBOOL(member763590124on_val(U_648,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(U_647,U_646),U_645))) ),
inference(variable_rename,[status(thm)],[f_119_1]) ).
cnf(f_119_3,plain,
( hBOOL(member763590124on_val(U_648,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_647),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_646),U_645))))
| ~ hBOOL(member763590124on_val(U_648,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(U_647,U_646),U_645))) ),
inference(clausify,[status(thm)],[f_119_2]) ).
fof(f_120_1,plain,
! [Z,C,A_10,B_1] :
( hBOOL(member840932460on_val(Z,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,C),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_10),B_1))))
| ~ hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(C,A_10),B_1))) ),
inference(fof_nnf,[status(thm)],[fact_105_mem__splitI]) ).
fof(f_120_2,plain,
! [U_652,U_651,U_650,U_649] :
( hBOOL(member840932460on_val(U_652,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_651),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_650),U_649))))
| ~ hBOOL(member840932460on_val(U_652,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(U_651,U_650),U_649))) ),
inference(variable_rename,[status(thm)],[f_120_1]) ).
cnf(f_120_3,plain,
( hBOOL(member840932460on_val(U_652,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_651),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_650),U_649))))
| ~ hBOOL(member840932460on_val(U_652,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(U_651,U_650),U_649))) ),
inference(clausify,[status(thm)],[f_120_2]) ).
fof(f_121_1,plain,
! [Z,C,A_10,B_1] :
( hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,C),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1))))
| ~ hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(C,A_10),B_1))) ),
inference(fof_nnf,[status(thm)],[fact_106_mem__splitI]) ).
fof(f_121_2,plain,
! [U_656,U_655,U_654,U_653] :
( hBOOL(member763590124on_val(U_656,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_655),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_654),U_653))))
| ~ hBOOL(member763590124on_val(U_656,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(U_655,U_654),U_653))) ),
inference(variable_rename,[status(thm)],[f_121_1]) ).
cnf(f_121_3,plain,
( hBOOL(member763590124on_val(U_656,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_655),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_654),U_653))))
| ~ hBOOL(member763590124on_val(U_656,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(U_655,U_654),U_653))) ),
inference(clausify,[status(thm)],[f_121_2]) ).
fof(f_122_1,plain,
! [Z,C,A_10,B_1] :
( hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,C),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_10),B_1))))
| ~ hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(C,A_10),B_1))) ),
inference(fof_nnf,[status(thm)],[fact_107_mem__splitI]) ).
fof(f_122_2,plain,
! [U_660,U_659,U_658,U_657] :
( hBOOL(member840932460on_val(U_660,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_659),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_658),U_657))))
| ~ hBOOL(member840932460on_val(U_660,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(U_659,U_658),U_657))) ),
inference(variable_rename,[status(thm)],[f_122_1]) ).
cnf(f_122_3,plain,
( hBOOL(member840932460on_val(U_660,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_659),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_658),U_657))))
| ~ hBOOL(member840932460on_val(U_660,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(U_659,U_658),U_657))) ),
inference(clausify,[status(thm)],[f_122_2]) ).
fof(f_123_1,plain,
! [Z,C,A_10,B_1] :
( hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1))))
| ~ hBOOL(member763590124on_val(Z,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(C,A_10),B_1))) ),
inference(fof_nnf,[status(thm)],[fact_108_mem__splitI]) ).
fof(f_123_2,plain,
! [U_664,U_663,U_662,U_661] :
( hBOOL(member763590124on_val(U_664,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_663),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_662),U_661))))
| ~ hBOOL(member763590124on_val(U_664,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(U_663,U_662),U_661))) ),
inference(variable_rename,[status(thm)],[f_123_1]) ).
cnf(f_123_3,plain,
( hBOOL(member763590124on_val(U_664,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_663),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_662),U_661))))
| ~ hBOOL(member763590124on_val(U_664,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(U_663,U_662),U_661))) ),
inference(clausify,[status(thm)],[f_123_2]) ).
fof(f_124_1,plain,
! [Z,C,A_10,B_1] :
( hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_10),B_1))))
| ~ hBOOL(member840932460on_val(Z,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(C,A_10),B_1))) ),
inference(fof_nnf,[status(thm)],[fact_109_mem__splitI]) ).
fof(f_124_2,plain,
! [U_668,U_667,U_666,U_665] :
( hBOOL(member840932460on_val(U_668,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_667),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_666),U_665))))
| ~ hBOOL(member840932460on_val(U_668,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(U_667,U_666),U_665))) ),
inference(variable_rename,[status(thm)],[f_124_1]) ).
cnf(f_124_3,plain,
( hBOOL(member840932460on_val(U_668,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_667),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_666),U_665))))
| ~ hBOOL(member840932460on_val(U_668,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(U_667,U_666),U_665))) ),
inference(clausify,[status(thm)],[f_124_2]) ).
fof(f_125_1,plain,
! [E_2,T_2,Pa,Hb,Ea,E_1,T_1] :
( hBOOL(wTrt(Pa,Hb,Ea,seq_list_char(E_1,E_2),T_2))
| ~ hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2))
| ~ hBOOL(wTrt(Pa,Hb,Ea,E_1,T_1)) ),
inference(fof_nnf,[status(thm)],[fact_110_WTrtSeq]) ).
fof(f_125_2,plain,
! [U_675,U_674,U_673,U_672,U_671,U_670,U_669] :
( hBOOL(wTrt(U_673,U_672,U_671,seq_list_char(U_670,U_675),U_674))
| ~ hBOOL(wTrt(U_673,U_672,U_671,U_675,U_674))
| ~ hBOOL(wTrt(U_673,U_672,U_671,U_670,U_669)) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
fof(f_125_3,plain,
! [U_675,U_674,U_673,U_672,U_671,U_670] :
( ! [U_669] : ~ hBOOL(wTrt(U_673,U_672,U_671,U_670,U_669))
| hBOOL(wTrt(U_673,U_672,U_671,seq_list_char(U_670,U_675),U_674))
| ~ hBOOL(wTrt(U_673,U_672,U_671,U_675,U_674)) ),
inference(miniscope,[status(thm)],[f_125_2]) ).
cnf(f_125_4,plain,
( ~ hBOOL(wTrt(U_673,U_672,U_671,U_670,U_669))
| hBOOL(wTrt(U_673,U_672,U_671,seq_list_char(U_670,U_675),U_674))
| ~ hBOOL(wTrt(U_673,U_672,U_671,U_675,U_674)) ),
inference(clausify,[status(thm)],[f_125_3]) ).
fof(f_126_1,plain,
! [E_2,Eb,S,E_b,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_1)),red(Pa)))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) ),
inference(fof_nnf,[status(thm)],[fact_111_red__reds_OSeqRed]) ).
fof(f_126_2,plain,
! [U_681,U_680,U_679,U_678,U_677,U_676] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_680,U_681)),U_679)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_678,U_681)),U_677)),red(U_676)))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_680),U_679)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_678),U_677)),red(U_676))) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
cnf(f_126_3,plain,
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_680,U_681)),U_679)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_678,U_681)),U_677)),red(U_676)))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_680),U_679)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_678),U_677)),red(U_676))) ),
inference(clausify,[status(thm)],[f_126_2]) ).
fof(f_127_1,plain,
! [Va_1,Eb,S,E_b,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,E_b)),S_1)),red(Pa)))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) ),
inference(fof_nnf,[status(thm)],[fact_112_red__reds_OLAssRed]) ).
fof(f_127_2,plain,
! [U_687,U_686,U_685,U_684,U_683,U_682] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_687,U_686)),U_685)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_687,U_684)),U_683)),red(U_682)))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_686),U_685)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_684),U_683)),red(U_682))) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
cnf(f_127_3,plain,
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_687,U_686)),U_685)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_687,U_684)),U_683)),red(U_682)))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_686),U_685)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_684),U_683)),red(U_682))) ),
inference(clausify,[status(thm)],[f_127_2]) ).
fof(f_128_1,plain,
! [Va,E_2,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(val_list_char(Va),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S)),red(Pa))),
inference(fof_nnf,[status(thm)],[fact_113_red__reds_ORedSeq]) ).
fof(f_128_2,plain,
! [U_691,U_690,U_689,U_688] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(val_list_char(U_691),U_690)),U_689)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_690),U_689)),red(U_688))),
inference(variable_rename,[status(thm)],[f_128_1]) ).
cnf(f_128_3,plain,
hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(val_list_char(U_691),U_690)),U_689)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_690),U_689)),red(U_688))),
inference(clausify,[status(thm)],[f_128_2]) ).
fof(f_129_1,plain,
! [Va_1,Ta,U,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,val_list_char(U))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(U)),S)),red(Pa))),
inference(fof_nnf,[status(thm)],[fact_114_red__reds_ORedBlock]) ).
fof(f_129_2,plain,
! [U_696,U_695,U_694,U_693,U_692] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_696,U_695,val_list_char(U_694))),U_693)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(U_694)),U_693)),red(U_692))),
inference(variable_rename,[status(thm)],[f_129_1]) ).
cnf(f_129_3,plain,
hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_696,U_695,val_list_char(U_694))),U_693)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(U_694)),U_693)),red(U_692))),
inference(clausify,[status(thm)],[f_129_2]) ).
fof(f_130_1,plain,
! [Z,C,P_1] :
( ? [X,Y] :
( hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(C,X),Y)))
& P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y) )
| ~ hBOOL(member763590124on_val(Z,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,C),P_1))) ),
inference(fof_nnf,[status(thm)],[fact_115_mem__splitE]) ).
fof(f_130_2,plain,
! [U_701,U_700,U_699] :
( ? [U_698,U_697] :
( hBOOL(member763590124on_val(U_701,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(U_700,U_698),U_697)))
& U_699 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_698),U_697) )
| ~ hBOOL(member763590124on_val(U_701,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_700),U_699))) ),
inference(variable_rename,[status(thm)],[f_130_1]) ).
fof(f_130_3,plain,
! [U_701,U_700,U_699] :
( ? [U_697] :
( hBOOL(member763590124on_val(U_701,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(U_700,sK76(U_701,U_700,U_699)),U_697)))
& U_699 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK76(U_701,U_700,U_699)),U_697) )
| ~ hBOOL(member763590124on_val(U_701,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_700),U_699))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(U_698,sK76(U_701,U_700,U_699))],[f_130_2]) ).
fof(f_130_4,plain,
! [U_701,U_700,U_699] :
( ( hBOOL(member763590124on_val(U_701,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(U_700,sK76(U_701,U_700,U_699)),sK77(U_701,U_700,U_699))))
& U_699 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK76(U_701,U_700,U_699)),sK77(U_701,U_700,U_699)) )
| ~ hBOOL(member763590124on_val(U_701,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_700),U_699))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(U_697,sK77(U_701,U_700,U_699))],[f_130_3]) ).
cnf(f_130_5,plain,
( U_699 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK76(U_701,U_700,U_699)),sK77(U_701,U_700,U_699))
| ~ hBOOL(member763590124on_val(U_701,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_700),U_699))) ),
inference(clausify,[status(thm)],[f_130_4]) ).
cnf(f_130_6,plain,
( hBOOL(member763590124on_val(U_701,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(U_700,sK76(U_701,U_700,U_699)),sK77(U_701,U_700,U_699))))
| ~ hBOOL(member763590124on_val(U_701,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_700),U_699))) ),
inference(clausify,[status(thm)],[f_130_4]) ).
fof(f_131_1,plain,
! [Z,C,P_1] :
( ? [X,Y] :
( hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(C,X),Y)))
& P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y) )
| ~ hBOOL(member840932460on_val(Z,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,C),P_1))) ),
inference(fof_nnf,[status(thm)],[fact_116_mem__splitE]) ).
fof(f_131_2,plain,
! [U_706,U_705,U_704] :
( ? [U_703,U_702] :
( hBOOL(member840932460on_val(U_706,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(U_705,U_703),U_702)))
& U_704 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_703),U_702) )
| ~ hBOOL(member840932460on_val(U_706,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_705),U_704))) ),
inference(variable_rename,[status(thm)],[f_131_1]) ).
fof(f_131_3,plain,
! [U_706,U_705,U_704] :
( ? [U_702] :
( hBOOL(member840932460on_val(U_706,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(U_705,sK78(U_706,U_705,U_704)),U_702)))
& U_704 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK78(U_706,U_705,U_704)),U_702) )
| ~ hBOOL(member840932460on_val(U_706,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_705),U_704))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(U_703,sK78(U_706,U_705,U_704))],[f_131_2]) ).
fof(f_131_4,plain,
! [U_706,U_705,U_704] :
( ( hBOOL(member840932460on_val(U_706,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(U_705,sK78(U_706,U_705,U_704)),sK79(U_706,U_705,U_704))))
& U_704 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK78(U_706,U_705,U_704)),sK79(U_706,U_705,U_704)) )
| ~ hBOOL(member840932460on_val(U_706,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_705),U_704))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79]),skolemize(U_702,sK79(U_706,U_705,U_704))],[f_131_3]) ).
cnf(f_131_5,plain,
( U_704 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK78(U_706,U_705,U_704)),sK79(U_706,U_705,U_704))
| ~ hBOOL(member840932460on_val(U_706,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_705),U_704))) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_6,plain,
( hBOOL(member840932460on_val(U_706,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(U_705,sK78(U_706,U_705,U_704)),sK79(U_706,U_705,U_704))))
| ~ hBOOL(member840932460on_val(U_706,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_705),U_704))) ),
inference(clausify,[status(thm)],[f_131_4]) ).
fof(f_132_1,plain,
! [Z,C,P_1] :
( ? [X,Y] :
( hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(C,X),Y)))
& P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y) )
| ~ hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,C),P_1))) ),
inference(fof_nnf,[status(thm)],[fact_117_mem__splitE]) ).
fof(f_132_2,plain,
! [U_711,U_710,U_709] :
( ? [U_708,U_707] :
( hBOOL(member763590124on_val(U_711,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(U_710,U_708),U_707)))
& U_709 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_708),U_707) )
| ~ hBOOL(member763590124on_val(U_711,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_710),U_709))) ),
inference(variable_rename,[status(thm)],[f_132_1]) ).
fof(f_132_3,plain,
! [U_711,U_710,U_709] :
( ? [U_707] :
( hBOOL(member763590124on_val(U_711,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(U_710,sK80(U_711,U_710,U_709)),U_707)))
& U_709 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK80(U_711,U_710,U_709)),U_707) )
| ~ hBOOL(member763590124on_val(U_711,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_710),U_709))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(U_708,sK80(U_711,U_710,U_709))],[f_132_2]) ).
fof(f_132_4,plain,
! [U_711,U_710,U_709] :
( ( hBOOL(member763590124on_val(U_711,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(U_710,sK80(U_711,U_710,U_709)),sK81(U_711,U_710,U_709))))
& U_709 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK80(U_711,U_710,U_709)),sK81(U_711,U_710,U_709)) )
| ~ hBOOL(member763590124on_val(U_711,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_710),U_709))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(U_707,sK81(U_711,U_710,U_709))],[f_132_3]) ).
cnf(f_132_5,plain,
( U_709 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK80(U_711,U_710,U_709)),sK81(U_711,U_710,U_709))
| ~ hBOOL(member763590124on_val(U_711,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_710),U_709))) ),
inference(clausify,[status(thm)],[f_132_4]) ).
cnf(f_132_6,plain,
( hBOOL(member763590124on_val(U_711,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(U_710,sK80(U_711,U_710,U_709)),sK81(U_711,U_710,U_709))))
| ~ hBOOL(member763590124on_val(U_711,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_710),U_709))) ),
inference(clausify,[status(thm)],[f_132_4]) ).
fof(f_133_1,plain,
! [Z,C,P_1] :
( ? [X,Y] :
( hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(C,X),Y)))
& P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y) )
| ~ hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,C),P_1))) ),
inference(fof_nnf,[status(thm)],[fact_118_mem__splitE]) ).
fof(f_133_2,plain,
! [U_716,U_715,U_714] :
( ? [U_713,U_712] :
( hBOOL(member840932460on_val(U_716,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(U_715,U_713),U_712)))
& U_714 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_713),U_712) )
| ~ hBOOL(member840932460on_val(U_716,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_715),U_714))) ),
inference(variable_rename,[status(thm)],[f_133_1]) ).
fof(f_133_3,plain,
! [U_716,U_715,U_714] :
( ? [U_712] :
( hBOOL(member840932460on_val(U_716,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(U_715,sK82(U_716,U_715,U_714)),U_712)))
& U_714 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK82(U_716,U_715,U_714)),U_712) )
| ~ hBOOL(member840932460on_val(U_716,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_715),U_714))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(U_713,sK82(U_716,U_715,U_714))],[f_133_2]) ).
fof(f_133_4,plain,
! [U_716,U_715,U_714] :
( ( hBOOL(member840932460on_val(U_716,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(U_715,sK82(U_716,U_715,U_714)),sK83(U_716,U_715,U_714))))
& U_714 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK82(U_716,U_715,U_714)),sK83(U_716,U_715,U_714)) )
| ~ hBOOL(member840932460on_val(U_716,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_715),U_714))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(U_712,sK83(U_716,U_715,U_714))],[f_133_3]) ).
cnf(f_133_5,plain,
( U_714 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK82(U_716,U_715,U_714)),sK83(U_716,U_715,U_714))
| ~ hBOOL(member840932460on_val(U_716,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_715),U_714))) ),
inference(clausify,[status(thm)],[f_133_4]) ).
cnf(f_133_6,plain,
( hBOOL(member840932460on_val(U_716,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(U_715,sK82(U_716,U_715,U_714)),sK83(U_716,U_715,U_714))))
| ~ hBOOL(member840932460on_val(U_716,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_715),U_714))) ),
inference(clausify,[status(thm)],[f_133_4]) ).
fof(f_134_1,plain,
! [Z,C,P_1] :
( ? [X,Y] :
( hBOOL(member763590124on_val(Z,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(C,X),Y)))
& P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y) )
| ~ hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,C),P_1))) ),
inference(fof_nnf,[status(thm)],[fact_119_mem__splitE]) ).
fof(f_134_2,plain,
! [U_721,U_720,U_719] :
( ? [U_718,U_717] :
( hBOOL(member763590124on_val(U_721,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(U_720,U_718),U_717)))
& U_719 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_718),U_717) )
| ~ hBOOL(member763590124on_val(U_721,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_720),U_719))) ),
inference(variable_rename,[status(thm)],[f_134_1]) ).
fof(f_134_3,plain,
! [U_721,U_720,U_719] :
( ? [U_717] :
( hBOOL(member763590124on_val(U_721,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(U_720,sK84(U_721,U_720,U_719)),U_717)))
& U_719 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK84(U_721,U_720,U_719)),U_717) )
| ~ hBOOL(member763590124on_val(U_721,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_720),U_719))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84]),skolemize(U_718,sK84(U_721,U_720,U_719))],[f_134_2]) ).
fof(f_134_4,plain,
! [U_721,U_720,U_719] :
( ( hBOOL(member763590124on_val(U_721,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(U_720,sK84(U_721,U_720,U_719)),sK85(U_721,U_720,U_719))))
& U_719 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK84(U_721,U_720,U_719)),sK85(U_721,U_720,U_719)) )
| ~ hBOOL(member763590124on_val(U_721,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_720),U_719))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK85]),skolemize(U_717,sK85(U_721,U_720,U_719))],[f_134_3]) ).
cnf(f_134_5,plain,
( U_719 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK84(U_721,U_720,U_719)),sK85(U_721,U_720,U_719))
| ~ hBOOL(member763590124on_val(U_721,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_720),U_719))) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_6,plain,
( hBOOL(member763590124on_val(U_721,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(U_720,sK84(U_721,U_720,U_719)),sK85(U_721,U_720,U_719))))
| ~ hBOOL(member763590124on_val(U_721,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_720),U_719))) ),
inference(clausify,[status(thm)],[f_134_4]) ).
fof(f_135_1,plain,
! [Z,C,P_1] :
( ? [X,Y] :
( hBOOL(member840932460on_val(Z,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(C,X),Y)))
& P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y) )
| ~ hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,C),P_1))) ),
inference(fof_nnf,[status(thm)],[fact_120_mem__splitE]) ).
fof(f_135_2,plain,
! [U_726,U_725,U_724] :
( ? [U_723,U_722] :
( hBOOL(member840932460on_val(U_726,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(U_725,U_723),U_722)))
& U_724 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_723),U_722) )
| ~ hBOOL(member840932460on_val(U_726,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_725),U_724))) ),
inference(variable_rename,[status(thm)],[f_135_1]) ).
fof(f_135_3,plain,
! [U_726,U_725,U_724] :
( ? [U_722] :
( hBOOL(member840932460on_val(U_726,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(U_725,sK86(U_726,U_725,U_724)),U_722)))
& U_724 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK86(U_726,U_725,U_724)),U_722) )
| ~ hBOOL(member840932460on_val(U_726,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_725),U_724))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86]),skolemize(U_723,sK86(U_726,U_725,U_724))],[f_135_2]) ).
fof(f_135_4,plain,
! [U_726,U_725,U_724] :
( ( hBOOL(member840932460on_val(U_726,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(U_725,sK86(U_726,U_725,U_724)),sK87(U_726,U_725,U_724))))
& U_724 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK86(U_726,U_725,U_724)),sK87(U_726,U_725,U_724)) )
| ~ hBOOL(member840932460on_val(U_726,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_725),U_724))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87]),skolemize(U_722,sK87(U_726,U_725,U_724))],[f_135_3]) ).
cnf(f_135_5,plain,
( U_724 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK86(U_726,U_725,U_724)),sK87(U_726,U_725,U_724))
| ~ hBOOL(member840932460on_val(U_726,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_725),U_724))) ),
inference(clausify,[status(thm)],[f_135_4]) ).
cnf(f_135_6,plain,
( hBOOL(member840932460on_val(U_726,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(U_725,sK86(U_726,U_725,U_724)),sK87(U_726,U_725,U_724))))
| ~ hBOOL(member840932460on_val(U_726,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_725),U_724))) ),
inference(clausify,[status(thm)],[f_135_4]) ).
fof(f_136_1,plain,
! [Z,C,P_1] :
( hBOOL(member763590124on_val(Z,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,C),P_1)))
| ? [A_15,B] :
( ~ hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(C,A_15),B)))
& P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B) ) ),
inference(fof_nnf,[status(thm)],[fact_121_mem__splitI2]) ).
fof(f_136_2,plain,
! [U_731,U_730,U_729] :
( hBOOL(member763590124on_val(U_731,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_730),U_729)))
| ? [U_728,U_727] :
( ~ hBOOL(member763590124on_val(U_731,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(U_730,U_728),U_727)))
& U_729 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_728),U_727) ) ),
inference(variable_rename,[status(thm)],[f_136_1]) ).
fof(f_136_3,plain,
! [U_731,U_730,U_729] :
( hBOOL(member763590124on_val(U_731,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_730),U_729)))
| ? [U_727] :
( ~ hBOOL(member763590124on_val(U_731,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(U_730,sK88(U_731,U_730,U_729)),U_727)))
& U_729 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK88(U_731,U_730,U_729)),U_727) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(U_728,sK88(U_731,U_730,U_729))],[f_136_2]) ).
fof(f_136_4,plain,
! [U_731,U_730,U_729] :
( hBOOL(member763590124on_val(U_731,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_730),U_729)))
| ( ~ hBOOL(member763590124on_val(U_731,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(U_730,sK88(U_731,U_730,U_729)),sK89(U_731,U_730,U_729))))
& U_729 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK88(U_731,U_730,U_729)),sK89(U_731,U_730,U_729)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(U_727,sK89(U_731,U_730,U_729))],[f_136_3]) ).
cnf(f_136_5,plain,
( U_729 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK88(U_731,U_730,U_729)),sK89(U_731,U_730,U_729))
| hBOOL(member763590124on_val(U_731,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_730),U_729))) ),
inference(clausify,[status(thm)],[f_136_4]) ).
cnf(f_136_6,plain,
( ~ hBOOL(member763590124on_val(U_731,hAPP_P595502227l_bool(hAPP_P1134042693l_bool(U_730,sK88(U_731,U_730,U_729)),sK89(U_731,U_730,U_729))))
| hBOOL(member763590124on_val(U_731,hAPP_P1826803705l_bool(hAPP_f444383845l_bool(produc376702929l_bool,U_730),U_729))) ),
inference(clausify,[status(thm)],[f_136_4]) ).
fof(f_137_1,plain,
! [Z,C,P_1] :
( hBOOL(member840932460on_val(Z,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,C),P_1)))
| ? [A_15,B] :
( ~ hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(C,A_15),B)))
& P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B) ) ),
inference(fof_nnf,[status(thm)],[fact_122_mem__splitI2]) ).
fof(f_137_2,plain,
! [U_736,U_735,U_734] :
( hBOOL(member840932460on_val(U_736,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_735),U_734)))
| ? [U_733,U_732] :
( ~ hBOOL(member840932460on_val(U_736,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(U_735,U_733),U_732)))
& U_734 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_733),U_732) ) ),
inference(variable_rename,[status(thm)],[f_137_1]) ).
fof(f_137_3,plain,
! [U_736,U_735,U_734] :
( hBOOL(member840932460on_val(U_736,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_735),U_734)))
| ? [U_732] :
( ~ hBOOL(member840932460on_val(U_736,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(U_735,sK90(U_736,U_735,U_734)),U_732)))
& U_734 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK90(U_736,U_735,U_734)),U_732) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90]),skolemize(U_733,sK90(U_736,U_735,U_734))],[f_137_2]) ).
fof(f_137_4,plain,
! [U_736,U_735,U_734] :
( hBOOL(member840932460on_val(U_736,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_735),U_734)))
| ( ~ hBOOL(member840932460on_val(U_736,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(U_735,sK90(U_736,U_735,U_734)),sK91(U_736,U_735,U_734))))
& U_734 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK90(U_736,U_735,U_734)),sK91(U_736,U_735,U_734)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91]),skolemize(U_732,sK91(U_736,U_735,U_734))],[f_137_3]) ).
cnf(f_137_5,plain,
( U_734 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK90(U_736,U_735,U_734)),sK91(U_736,U_735,U_734))
| hBOOL(member840932460on_val(U_736,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_735),U_734))) ),
inference(clausify,[status(thm)],[f_137_4]) ).
cnf(f_137_6,plain,
( ~ hBOOL(member840932460on_val(U_736,hAPP_P1116729363l_bool(hAPP_P1953518277l_bool(U_735,sK90(U_736,U_735,U_734)),sK91(U_736,U_735,U_734))))
| hBOOL(member840932460on_val(U_736,hAPP_P678729081l_bool(hAPP_f1591648613l_bool(produc20018513l_bool,U_735),U_734))) ),
inference(clausify,[status(thm)],[f_137_4]) ).
fof(f_138_1,plain,
! [Z,C,P_1] :
( hBOOL(member763590124on_val(Z,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,C),P_1)))
| ? [A_15,B] :
( ~ hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(C,A_15),B)))
& P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B) ) ),
inference(fof_nnf,[status(thm)],[fact_123_mem__splitI2]) ).
fof(f_138_2,plain,
! [U_741,U_740,U_739] :
( hBOOL(member763590124on_val(U_741,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_740),U_739)))
| ? [U_738,U_737] :
( ~ hBOOL(member763590124on_val(U_741,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(U_740,U_738),U_737)))
& U_739 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_738),U_737) ) ),
inference(variable_rename,[status(thm)],[f_138_1]) ).
fof(f_138_3,plain,
! [U_741,U_740,U_739] :
( hBOOL(member763590124on_val(U_741,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_740),U_739)))
| ? [U_737] :
( ~ hBOOL(member763590124on_val(U_741,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(U_740,sK92(U_741,U_740,U_739)),U_737)))
& U_739 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK92(U_741,U_740,U_739)),U_737) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(U_738,sK92(U_741,U_740,U_739))],[f_138_2]) ).
fof(f_138_4,plain,
! [U_741,U_740,U_739] :
( hBOOL(member763590124on_val(U_741,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_740),U_739)))
| ( ~ hBOOL(member763590124on_val(U_741,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(U_740,sK92(U_741,U_740,U_739)),sK93(U_741,U_740,U_739))))
& U_739 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK92(U_741,U_740,U_739)),sK93(U_741,U_740,U_739)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(U_737,sK93(U_741,U_740,U_739))],[f_138_3]) ).
cnf(f_138_5,plain,
( U_739 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK92(U_741,U_740,U_739)),sK93(U_741,U_740,U_739))
| hBOOL(member763590124on_val(U_741,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_740),U_739))) ),
inference(clausify,[status(thm)],[f_138_4]) ).
cnf(f_138_6,plain,
( ~ hBOOL(member763590124on_val(U_741,hAPP_P1988153107l_bool(hAPP_e500528395l_bool(U_740,sK92(U_741,U_740,U_739)),sK93(U_741,U_740,U_739))))
| hBOOL(member763590124on_val(U_741,hAPP_P595502227l_bool(hAPP_f468299289l_bool(produc2036005791l_bool,U_740),U_739))) ),
inference(clausify,[status(thm)],[f_138_4]) ).
fof(f_139_1,plain,
! [Z,C,P_1] :
( hBOOL(member840932460on_val(Z,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,C),P_1)))
| ? [A_15,B] :
( ~ hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(C,A_15),B)))
& P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B) ) ),
inference(fof_nnf,[status(thm)],[fact_124_mem__splitI2]) ).
fof(f_139_2,plain,
! [U_746,U_745,U_744] :
( hBOOL(member840932460on_val(U_746,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_745),U_744)))
| ? [U_743,U_742] :
( ~ hBOOL(member840932460on_val(U_746,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(U_745,U_743),U_742)))
& U_744 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_743),U_742) ) ),
inference(variable_rename,[status(thm)],[f_139_1]) ).
fof(f_139_3,plain,
! [U_746,U_745,U_744] :
( hBOOL(member840932460on_val(U_746,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_745),U_744)))
| ? [U_742] :
( ~ hBOOL(member840932460on_val(U_746,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(U_745,sK94(U_746,U_745,U_744)),U_742)))
& U_744 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK94(U_746,U_745,U_744)),U_742) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94]),skolemize(U_743,sK94(U_746,U_745,U_744))],[f_139_2]) ).
fof(f_139_4,plain,
! [U_746,U_745,U_744] :
( hBOOL(member840932460on_val(U_746,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_745),U_744)))
| ( ~ hBOOL(member840932460on_val(U_746,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(U_745,sK94(U_746,U_745,U_744)),sK95(U_746,U_745,U_744))))
& U_744 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK94(U_746,U_745,U_744)),sK95(U_746,U_745,U_744)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95]),skolemize(U_742,sK95(U_746,U_745,U_744))],[f_139_3]) ).
cnf(f_139_5,plain,
( U_744 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK94(U_746,U_745,U_744)),sK95(U_746,U_745,U_744))
| hBOOL(member840932460on_val(U_746,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_745),U_744))) ),
inference(clausify,[status(thm)],[f_139_4]) ).
cnf(f_139_6,plain,
( ~ hBOOL(member840932460on_val(U_746,hAPP_P1638898323l_bool(hAPP_e592495499l_bool(U_745,sK94(U_746,U_745,U_744)),sK95(U_746,U_745,U_744))))
| hBOOL(member840932460on_val(U_746,hAPP_P1116729363l_bool(hAPP_f1760682521l_bool(produc1275132703l_bool,U_745),U_744))) ),
inference(clausify,[status(thm)],[f_139_4]) ).
fof(f_140_1,plain,
! [Z,C,P_1] :
( hBOOL(member763590124on_val(Z,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,C),P_1)))
| ? [A_15,B] :
( ~ hBOOL(member763590124on_val(Z,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(C,A_15),B)))
& P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B) ) ),
inference(fof_nnf,[status(thm)],[fact_125_mem__splitI2]) ).
fof(f_140_2,plain,
! [U_751,U_750,U_749] :
( hBOOL(member763590124on_val(U_751,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_750),U_749)))
| ? [U_748,U_747] :
( ~ hBOOL(member763590124on_val(U_751,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(U_750,U_748),U_747)))
& U_749 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_748),U_747) ) ),
inference(variable_rename,[status(thm)],[f_140_1]) ).
fof(f_140_3,plain,
! [U_751,U_750,U_749] :
( hBOOL(member763590124on_val(U_751,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_750),U_749)))
| ? [U_747] :
( ~ hBOOL(member763590124on_val(U_751,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(U_750,sK96(U_751,U_750,U_749)),U_747)))
& U_749 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK96(U_751,U_750,U_749)),U_747) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK96]),skolemize(U_748,sK96(U_751,U_750,U_749))],[f_140_2]) ).
fof(f_140_4,plain,
! [U_751,U_750,U_749] :
( hBOOL(member763590124on_val(U_751,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_750),U_749)))
| ( ~ hBOOL(member763590124on_val(U_751,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(U_750,sK96(U_751,U_750,U_749)),sK97(U_751,U_750,U_749))))
& U_749 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK96(U_751,U_750,U_749)),sK97(U_751,U_750,U_749)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK97]),skolemize(U_747,sK97(U_751,U_750,U_749))],[f_140_3]) ).
cnf(f_140_5,plain,
( U_749 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK96(U_751,U_750,U_749)),sK97(U_751,U_750,U_749))
| hBOOL(member763590124on_val(U_751,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_750),U_749))) ),
inference(clausify,[status(thm)],[f_140_4]) ).
cnf(f_140_6,plain,
( ~ hBOOL(member763590124on_val(U_751,hAPP_f396019662l_bool(hAPP_f2135509569l_bool(U_750,sK96(U_751,U_750,U_749)),sK97(U_751,U_750,U_749))))
| hBOOL(member763590124on_val(U_751,hAPP_P1988153107l_bool(hAPP_f1276548047l_bool(produc121041439l_bool,U_750),U_749))) ),
inference(clausify,[status(thm)],[f_140_4]) ).
fof(f_141_1,plain,
! [Z,C,P_1] :
( hBOOL(member840932460on_val(Z,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,C),P_1)))
| ? [A_15,B] :
( ~ hBOOL(member840932460on_val(Z,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(C,A_15),B)))
& P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B) ) ),
inference(fof_nnf,[status(thm)],[fact_126_mem__splitI2]) ).
fof(f_141_2,plain,
! [U_756,U_755,U_754] :
( hBOOL(member840932460on_val(U_756,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_755),U_754)))
| ? [U_753,U_752] :
( ~ hBOOL(member840932460on_val(U_756,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(U_755,U_753),U_752)))
& U_754 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_753),U_752) ) ),
inference(variable_rename,[status(thm)],[f_141_1]) ).
fof(f_141_3,plain,
! [U_756,U_755,U_754] :
( hBOOL(member840932460on_val(U_756,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_755),U_754)))
| ? [U_752] :
( ~ hBOOL(member840932460on_val(U_756,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(U_755,sK98(U_756,U_755,U_754)),U_752)))
& U_754 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK98(U_756,U_755,U_754)),U_752) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98]),skolemize(U_753,sK98(U_756,U_755,U_754))],[f_141_2]) ).
fof(f_141_4,plain,
! [U_756,U_755,U_754] :
( hBOOL(member840932460on_val(U_756,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_755),U_754)))
| ( ~ hBOOL(member840932460on_val(U_756,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(U_755,sK98(U_756,U_755,U_754)),sK99(U_756,U_755,U_754))))
& U_754 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK98(U_756,U_755,U_754)),sK99(U_756,U_755,U_754)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK99]),skolemize(U_752,sK99(U_756,U_755,U_754))],[f_141_3]) ).
cnf(f_141_5,plain,
( U_754 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK98(U_756,U_755,U_754)),sK99(U_756,U_755,U_754))
| hBOOL(member840932460on_val(U_756,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_755),U_754))) ),
inference(clausify,[status(thm)],[f_141_4]) ).
cnf(f_141_6,plain,
( ~ hBOOL(member840932460on_val(U_756,hAPP_f2011777102l_bool(hAPP_f2144092865l_bool(U_755,sK98(U_756,U_755,U_754)),sK99(U_756,U_755,U_754))))
| hBOOL(member840932460on_val(U_756,hAPP_P1638898323l_bool(hAPP_f833559503l_bool(produc334393759l_bool,U_755),U_754))) ),
inference(clausify,[status(thm)],[f_141_4]) ).
fof(f_142_1,plain,
! [Va_1,Va,Hb,Lb,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,val_list_char(Va))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,some_val(Va))))),red(Pa))),
inference(fof_nnf,[status(thm)],[fact_127_red__reds_ORedLAss]) ).
fof(f_142_2,plain,
! [U_761,U_760,U_759,U_758,U_757] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_761,val_list_char(U_760))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_759),U_758))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_759),fun_up1149430426on_val(U_758,U_761,some_val(U_760))))),red(U_757))),
inference(variable_rename,[status(thm)],[f_142_1]) ).
cnf(f_142_3,plain,
hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_761,val_list_char(U_760))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_759),U_758))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,val_list_char(unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_759),fun_up1149430426on_val(U_758,U_761,some_val(U_760))))),red(U_757))),
inference(clausify,[status(thm)],[f_142_2]) ).
fof(f_143_1,plain,
! [G,F] :
( hAPP_f2121594859l_bool(produc1958875245l_bool,F) = G
| ? [X,Y] :
( ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,X),Y))
& hBOOL(hAPP_P159683425l_bool(G,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y))) )
| ( ~ hBOOL(hAPP_P159683425l_bool(G,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y)))
& hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,X),Y)) ) ) ),
inference(fof_nnf,[status(thm)],[fact_128_cond__split__eta]) ).
fof(f_143_2,plain,
! [U_765,U_764] :
( hAPP_f2121594859l_bool(produc1958875245l_bool,U_764) = U_765
| ? [U_763,U_762] :
( ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,U_763),U_762))
& hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_763),U_762))) )
| ( ~ hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_763),U_762)))
& hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,U_763),U_762)) ) ) ),
inference(variable_rename,[status(thm)],[f_143_1]) ).
fof(f_143_3,plain,
! [U_765,U_764] :
( hAPP_f2121594859l_bool(produc1958875245l_bool,U_764) = U_765
| ? [U_769,U_767] :
( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,U_769),U_767))
& hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_769),U_767))) )
| ? [U_768,U_766] :
( ~ hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_768),U_766)))
& hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,U_768),U_766)) ) ),
inference(miniscope,[status(thm)],[f_143_2]) ).
fof(f_143_4,plain,
! [U_765,U_764] :
( hAPP_f2121594859l_bool(produc1958875245l_bool,U_764) = U_765
| ? [U_769,U_767] :
( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,U_769),U_767))
& hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_769),U_767))) )
| ? [U_766] :
( ~ hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK100(U_765,U_764)),U_766)))
& hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,sK100(U_765,U_764)),U_766)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK100]),skolemize(U_768,sK100(U_765,U_764))],[f_143_3]) ).
fof(f_143_5,plain,
! [U_765,U_764] :
( hAPP_f2121594859l_bool(produc1958875245l_bool,U_764) = U_765
| ? [U_769,U_767] :
( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,U_769),U_767))
& hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_769),U_767))) )
| ( ~ hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK100(U_765,U_764)),sK101(U_765,U_764))))
& hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,sK100(U_765,U_764)),sK101(U_765,U_764))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK101]),skolemize(U_766,sK101(U_765,U_764))],[f_143_4]) ).
fof(f_143_6,plain,
! [U_765,U_764] :
( hAPP_f2121594859l_bool(produc1958875245l_bool,U_764) = U_765
| ? [U_767] :
( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,sK102(U_765,U_764)),U_767))
& hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK102(U_765,U_764)),U_767))) )
| ( ~ hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK100(U_765,U_764)),sK101(U_765,U_764))))
& hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,sK100(U_765,U_764)),sK101(U_765,U_764))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK102]),skolemize(U_769,sK102(U_765,U_764))],[f_143_5]) ).
fof(f_143_7,plain,
! [U_765,U_764] :
( hAPP_f2121594859l_bool(produc1958875245l_bool,U_764) = U_765
| ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,sK102(U_765,U_764)),sK103(U_765,U_764)))
& hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK102(U_765,U_764)),sK103(U_765,U_764)))) )
| ( ~ hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK100(U_765,U_764)),sK101(U_765,U_764))))
& hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,sK100(U_765,U_764)),sK101(U_765,U_764))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103]),skolemize(U_767,sK103(U_765,U_764))],[f_143_6]) ).
cnf(f_143_8,plain,
( hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK102(U_765,U_764)),sK103(U_765,U_764))))
| hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,sK100(U_765,U_764)),sK101(U_765,U_764)))
| hAPP_f2121594859l_bool(produc1958875245l_bool,U_764) = U_765 ),
inference(clausify,[status(thm)],[f_143_7]) ).
cnf(f_143_9,plain,
( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,sK102(U_765,U_764)),sK103(U_765,U_764)))
| hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,sK100(U_765,U_764)),sK101(U_765,U_764)))
| hAPP_f2121594859l_bool(produc1958875245l_bool,U_764) = U_765 ),
inference(clausify,[status(thm)],[f_143_7]) ).
cnf(f_143_10,plain,
( hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK102(U_765,U_764)),sK103(U_765,U_764))))
| ~ hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK100(U_765,U_764)),sK101(U_765,U_764))))
| hAPP_f2121594859l_bool(produc1958875245l_bool,U_764) = U_765 ),
inference(clausify,[status(thm)],[f_143_7]) ).
cnf(f_143_11,plain,
( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_764,sK102(U_765,U_764)),sK103(U_765,U_764)))
| ~ hBOOL(hAPP_P159683425l_bool(U_765,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK100(U_765,U_764)),sK101(U_765,U_764))))
| hAPP_f2121594859l_bool(produc1958875245l_bool,U_764) = U_765 ),
inference(clausify,[status(thm)],[f_143_7]) ).
fof(f_144_1,plain,
! [G,F] :
( hAPP_f635218277l_bool(produc1911463199l_bool,F) = G
| ? [X,Y] :
( ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,X),Y))
& hBOOL(hAPP_P282169671l_bool(G,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y))) )
| ( ~ hBOOL(hAPP_P282169671l_bool(G,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y)))
& hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,X),Y)) ) ) ),
inference(fof_nnf,[status(thm)],[fact_129_cond__split__eta]) ).
fof(f_144_2,plain,
! [U_773,U_772] :
( hAPP_f635218277l_bool(produc1911463199l_bool,U_772) = U_773
| ? [U_771,U_770] :
( ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,U_771),U_770))
& hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_771),U_770))) )
| ( ~ hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_771),U_770)))
& hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,U_771),U_770)) ) ) ),
inference(variable_rename,[status(thm)],[f_144_1]) ).
fof(f_144_3,plain,
! [U_773,U_772] :
( hAPP_f635218277l_bool(produc1911463199l_bool,U_772) = U_773
| ? [U_777,U_775] :
( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,U_777),U_775))
& hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_777),U_775))) )
| ? [U_776,U_774] :
( ~ hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_776),U_774)))
& hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,U_776),U_774)) ) ),
inference(miniscope,[status(thm)],[f_144_2]) ).
fof(f_144_4,plain,
! [U_773,U_772] :
( hAPP_f635218277l_bool(produc1911463199l_bool,U_772) = U_773
| ? [U_777,U_775] :
( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,U_777),U_775))
& hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_777),U_775))) )
| ? [U_774] :
( ~ hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_773,U_772)),U_774)))
& hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,sK104(U_773,U_772)),U_774)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104]),skolemize(U_776,sK104(U_773,U_772))],[f_144_3]) ).
fof(f_144_5,plain,
! [U_773,U_772] :
( hAPP_f635218277l_bool(produc1911463199l_bool,U_772) = U_773
| ? [U_777,U_775] :
( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,U_777),U_775))
& hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_777),U_775))) )
| ( ~ hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_773,U_772)),sK105(U_773,U_772))))
& hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,sK104(U_773,U_772)),sK105(U_773,U_772))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK105]),skolemize(U_774,sK105(U_773,U_772))],[f_144_4]) ).
fof(f_144_6,plain,
! [U_773,U_772] :
( hAPP_f635218277l_bool(produc1911463199l_bool,U_772) = U_773
| ? [U_775] :
( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,sK106(U_773,U_772)),U_775))
& hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK106(U_773,U_772)),U_775))) )
| ( ~ hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_773,U_772)),sK105(U_773,U_772))))
& hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,sK104(U_773,U_772)),sK105(U_773,U_772))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK106]),skolemize(U_777,sK106(U_773,U_772))],[f_144_5]) ).
fof(f_144_7,plain,
! [U_773,U_772] :
( hAPP_f635218277l_bool(produc1911463199l_bool,U_772) = U_773
| ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,sK106(U_773,U_772)),sK107(U_773,U_772)))
& hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK106(U_773,U_772)),sK107(U_773,U_772)))) )
| ( ~ hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_773,U_772)),sK105(U_773,U_772))))
& hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,sK104(U_773,U_772)),sK105(U_773,U_772))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK107]),skolemize(U_775,sK107(U_773,U_772))],[f_144_6]) ).
cnf(f_144_8,plain,
( hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK106(U_773,U_772)),sK107(U_773,U_772))))
| hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,sK104(U_773,U_772)),sK105(U_773,U_772)))
| hAPP_f635218277l_bool(produc1911463199l_bool,U_772) = U_773 ),
inference(clausify,[status(thm)],[f_144_7]) ).
cnf(f_144_9,plain,
( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,sK106(U_773,U_772)),sK107(U_773,U_772)))
| hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,sK104(U_773,U_772)),sK105(U_773,U_772)))
| hAPP_f635218277l_bool(produc1911463199l_bool,U_772) = U_773 ),
inference(clausify,[status(thm)],[f_144_7]) ).
cnf(f_144_10,plain,
( hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK106(U_773,U_772)),sK107(U_773,U_772))))
| ~ hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_773,U_772)),sK105(U_773,U_772))))
| hAPP_f635218277l_bool(produc1911463199l_bool,U_772) = U_773 ),
inference(clausify,[status(thm)],[f_144_7]) ).
cnf(f_144_11,plain,
( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_772,sK106(U_773,U_772)),sK107(U_773,U_772)))
| ~ hBOOL(hAPP_P282169671l_bool(U_773,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_773,U_772)),sK105(U_773,U_772))))
| hAPP_f635218277l_bool(produc1911463199l_bool,U_772) = U_773 ),
inference(clausify,[status(thm)],[f_144_7]) ).
fof(f_145_1,plain,
! [G,F] :
( hAPP_f1930574389l_bool(produc1815960045l_bool,F) = G
| ? [X,Y] :
( ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,X),Y))
& hBOOL(hAPP_P1708370145l_bool(G,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y))) )
| ( ~ hBOOL(hAPP_P1708370145l_bool(G,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y)))
& hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,X),Y)) ) ) ),
inference(fof_nnf,[status(thm)],[fact_130_cond__split__eta]) ).
fof(f_145_2,plain,
! [U_781,U_780] :
( hAPP_f1930574389l_bool(produc1815960045l_bool,U_780) = U_781
| ? [U_779,U_778] :
( ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,U_779),U_778))
& hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_779),U_778))) )
| ( ~ hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_779),U_778)))
& hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,U_779),U_778)) ) ) ),
inference(variable_rename,[status(thm)],[f_145_1]) ).
fof(f_145_3,plain,
! [U_781,U_780] :
( hAPP_f1930574389l_bool(produc1815960045l_bool,U_780) = U_781
| ? [U_785,U_783] :
( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,U_785),U_783))
& hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_785),U_783))) )
| ? [U_784,U_782] :
( ~ hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_784),U_782)))
& hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,U_784),U_782)) ) ),
inference(miniscope,[status(thm)],[f_145_2]) ).
fof(f_145_4,plain,
! [U_781,U_780] :
( hAPP_f1930574389l_bool(produc1815960045l_bool,U_780) = U_781
| ? [U_785,U_783] :
( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,U_785),U_783))
& hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_785),U_783))) )
| ? [U_782] :
( ~ hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK108(U_781,U_780)),U_782)))
& hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,sK108(U_781,U_780)),U_782)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK108]),skolemize(U_784,sK108(U_781,U_780))],[f_145_3]) ).
fof(f_145_5,plain,
! [U_781,U_780] :
( hAPP_f1930574389l_bool(produc1815960045l_bool,U_780) = U_781
| ? [U_785,U_783] :
( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,U_785),U_783))
& hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_785),U_783))) )
| ( ~ hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK108(U_781,U_780)),sK109(U_781,U_780))))
& hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,sK108(U_781,U_780)),sK109(U_781,U_780))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK109]),skolemize(U_782,sK109(U_781,U_780))],[f_145_4]) ).
fof(f_145_6,plain,
! [U_781,U_780] :
( hAPP_f1930574389l_bool(produc1815960045l_bool,U_780) = U_781
| ? [U_783] :
( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,sK110(U_781,U_780)),U_783))
& hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK110(U_781,U_780)),U_783))) )
| ( ~ hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK108(U_781,U_780)),sK109(U_781,U_780))))
& hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,sK108(U_781,U_780)),sK109(U_781,U_780))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK110]),skolemize(U_785,sK110(U_781,U_780))],[f_145_5]) ).
fof(f_145_7,plain,
! [U_781,U_780] :
( hAPP_f1930574389l_bool(produc1815960045l_bool,U_780) = U_781
| ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,sK110(U_781,U_780)),sK111(U_781,U_780)))
& hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK110(U_781,U_780)),sK111(U_781,U_780)))) )
| ( ~ hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK108(U_781,U_780)),sK109(U_781,U_780))))
& hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,sK108(U_781,U_780)),sK109(U_781,U_780))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK111]),skolemize(U_783,sK111(U_781,U_780))],[f_145_6]) ).
cnf(f_145_8,plain,
( hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK110(U_781,U_780)),sK111(U_781,U_780))))
| hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,sK108(U_781,U_780)),sK109(U_781,U_780)))
| hAPP_f1930574389l_bool(produc1815960045l_bool,U_780) = U_781 ),
inference(clausify,[status(thm)],[f_145_7]) ).
cnf(f_145_9,plain,
( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,sK110(U_781,U_780)),sK111(U_781,U_780)))
| hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,sK108(U_781,U_780)),sK109(U_781,U_780)))
| hAPP_f1930574389l_bool(produc1815960045l_bool,U_780) = U_781 ),
inference(clausify,[status(thm)],[f_145_7]) ).
cnf(f_145_10,plain,
( hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK110(U_781,U_780)),sK111(U_781,U_780))))
| ~ hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK108(U_781,U_780)),sK109(U_781,U_780))))
| hAPP_f1930574389l_bool(produc1815960045l_bool,U_780) = U_781 ),
inference(clausify,[status(thm)],[f_145_7]) ).
cnf(f_145_11,plain,
( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_780,sK110(U_781,U_780)),sK111(U_781,U_780)))
| ~ hBOOL(hAPP_P1708370145l_bool(U_781,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK108(U_781,U_780)),sK109(U_781,U_780))))
| hAPP_f1930574389l_bool(produc1815960045l_bool,U_780) = U_781 ),
inference(clausify,[status(thm)],[f_145_7]) ).
fof(f_146_1,plain,
! [Q_1,Pa,Z] :
( ? [X,Y] :
( hBOOL(hAPP_bool_bool(Q_1,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,X),Y)))
& Z = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X),Y) )
| ~ hBOOL(hAPP_bool_bool(Q_1,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Pa),Z))) ),
inference(fof_nnf,[status(thm)],[fact_131_splitE2]) ).
fof(f_146_2,plain,
! [U_790,U_789,U_788] :
( ? [U_787,U_786] :
( hBOOL(hAPP_bool_bool(U_790,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_789,U_787),U_786)))
& U_788 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_787),U_786) )
| ~ hBOOL(hAPP_bool_bool(U_790,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_789),U_788))) ),
inference(variable_rename,[status(thm)],[f_146_1]) ).
fof(f_146_3,plain,
! [U_790,U_789,U_788] :
( ? [U_786] :
( hBOOL(hAPP_bool_bool(U_790,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_789,sK112(U_790,U_789,U_788)),U_786)))
& U_788 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK112(U_790,U_789,U_788)),U_786) )
| ~ hBOOL(hAPP_bool_bool(U_790,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_789),U_788))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK112]),skolemize(U_787,sK112(U_790,U_789,U_788))],[f_146_2]) ).
fof(f_146_4,plain,
! [U_790,U_789,U_788] :
( ( hBOOL(hAPP_bool_bool(U_790,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_789,sK112(U_790,U_789,U_788)),sK113(U_790,U_789,U_788))))
& U_788 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK112(U_790,U_789,U_788)),sK113(U_790,U_789,U_788)) )
| ~ hBOOL(hAPP_bool_bool(U_790,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_789),U_788))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK113]),skolemize(U_786,sK113(U_790,U_789,U_788))],[f_146_3]) ).
cnf(f_146_5,plain,
( U_788 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK112(U_790,U_789,U_788)),sK113(U_790,U_789,U_788))
| ~ hBOOL(hAPP_bool_bool(U_790,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_789),U_788))) ),
inference(clausify,[status(thm)],[f_146_4]) ).
cnf(f_146_6,plain,
( hBOOL(hAPP_bool_bool(U_790,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_789,sK112(U_790,U_789,U_788)),sK113(U_790,U_789,U_788))))
| ~ hBOOL(hAPP_bool_bool(U_790,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_789),U_788))) ),
inference(clausify,[status(thm)],[f_146_4]) ).
fof(f_147_1,plain,
! [Q_1,Pa,Z] :
( ? [X,Y] :
( hBOOL(hAPP_bool_bool(Q_1,hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,X),Y)))
& Z = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y) )
| ~ hBOOL(hAPP_bool_bool(Q_1,hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,Pa),Z))) ),
inference(fof_nnf,[status(thm)],[fact_132_splitE2]) ).
fof(f_147_2,plain,
! [U_795,U_794,U_793] :
( ? [U_792,U_791] :
( hBOOL(hAPP_bool_bool(U_795,hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_794,U_792),U_791)))
& U_793 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_792),U_791) )
| ~ hBOOL(hAPP_bool_bool(U_795,hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_794),U_793))) ),
inference(variable_rename,[status(thm)],[f_147_1]) ).
fof(f_147_3,plain,
! [U_795,U_794,U_793] :
( ? [U_791] :
( hBOOL(hAPP_bool_bool(U_795,hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_794,sK114(U_795,U_794,U_793)),U_791)))
& U_793 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK114(U_795,U_794,U_793)),U_791) )
| ~ hBOOL(hAPP_bool_bool(U_795,hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_794),U_793))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK114]),skolemize(U_792,sK114(U_795,U_794,U_793))],[f_147_2]) ).
fof(f_147_4,plain,
! [U_795,U_794,U_793] :
( ( hBOOL(hAPP_bool_bool(U_795,hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_794,sK114(U_795,U_794,U_793)),sK115(U_795,U_794,U_793))))
& U_793 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK114(U_795,U_794,U_793)),sK115(U_795,U_794,U_793)) )
| ~ hBOOL(hAPP_bool_bool(U_795,hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_794),U_793))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK115]),skolemize(U_791,sK115(U_795,U_794,U_793))],[f_147_3]) ).
cnf(f_147_5,plain,
( U_793 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK114(U_795,U_794,U_793)),sK115(U_795,U_794,U_793))
| ~ hBOOL(hAPP_bool_bool(U_795,hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_794),U_793))) ),
inference(clausify,[status(thm)],[f_147_4]) ).
cnf(f_147_6,plain,
( hBOOL(hAPP_bool_bool(U_795,hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_794,sK114(U_795,U_794,U_793)),sK115(U_795,U_794,U_793))))
| ~ hBOOL(hAPP_bool_bool(U_795,hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_794),U_793))) ),
inference(clausify,[status(thm)],[f_147_4]) ).
fof(f_148_1,plain,
! [Q_1,Pa,Z] :
( ? [X,Y] :
( hBOOL(hAPP_bool_bool(Q_1,hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,X),Y)))
& Z = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Y) )
| ~ hBOOL(hAPP_bool_bool(Q_1,hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,Pa),Z))) ),
inference(fof_nnf,[status(thm)],[fact_133_splitE2]) ).
fof(f_148_2,plain,
! [U_800,U_799,U_798] :
( ? [U_797,U_796] :
( hBOOL(hAPP_bool_bool(U_800,hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_799,U_797),U_796)))
& U_798 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_797),U_796) )
| ~ hBOOL(hAPP_bool_bool(U_800,hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_799),U_798))) ),
inference(variable_rename,[status(thm)],[f_148_1]) ).
fof(f_148_3,plain,
! [U_800,U_799,U_798] :
( ? [U_796] :
( hBOOL(hAPP_bool_bool(U_800,hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_799,sK116(U_800,U_799,U_798)),U_796)))
& U_798 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK116(U_800,U_799,U_798)),U_796) )
| ~ hBOOL(hAPP_bool_bool(U_800,hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_799),U_798))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK116]),skolemize(U_797,sK116(U_800,U_799,U_798))],[f_148_2]) ).
fof(f_148_4,plain,
! [U_800,U_799,U_798] :
( ( hBOOL(hAPP_bool_bool(U_800,hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_799,sK116(U_800,U_799,U_798)),sK117(U_800,U_799,U_798))))
& U_798 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK116(U_800,U_799,U_798)),sK117(U_800,U_799,U_798)) )
| ~ hBOOL(hAPP_bool_bool(U_800,hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_799),U_798))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK117]),skolemize(U_796,sK117(U_800,U_799,U_798))],[f_148_3]) ).
cnf(f_148_5,plain,
( U_798 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK116(U_800,U_799,U_798)),sK117(U_800,U_799,U_798))
| ~ hBOOL(hAPP_bool_bool(U_800,hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_799),U_798))) ),
inference(clausify,[status(thm)],[f_148_4]) ).
cnf(f_148_6,plain,
( hBOOL(hAPP_bool_bool(U_800,hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_799,sK116(U_800,U_799,U_798)),sK117(U_800,U_799,U_798))))
| ~ hBOOL(hAPP_bool_bool(U_800,hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_799),U_798))) ),
inference(clausify,[status(thm)],[f_148_4]) ).
fof(f_149_1,plain,
! [A_14,Ty_7,Exp_13,A_13,Exp_12] : block_list_char(A_14,Ty_7,Exp_13) != lAss_list_char(A_13,Exp_12),
inference(fof_nnf,[status(thm)],[fact_134_exp_Osimps_I143_J]) ).
fof(f_149_2,plain,
! [U_805,U_804,U_803,U_802,U_801] : block_list_char(U_805,U_804,U_803) != lAss_list_char(U_802,U_801),
inference(variable_rename,[status(thm)],[f_149_1]) ).
cnf(f_149_3,plain,
block_list_char(U_805,U_804,U_803) != lAss_list_char(U_802,U_801),
inference(clausify,[status(thm)],[f_149_2]) ).
fof(f_150_1,plain,
! [A_12,Ty_6,Exp_11,Exp1_7,Exp2_7] : block_list_char(A_12,Ty_6,Exp_11) != seq_list_char(Exp1_7,Exp2_7),
inference(fof_nnf,[status(thm)],[fact_135_exp_Osimps_I196_J]) ).
fof(f_150_2,plain,
! [U_810,U_809,U_808,U_807,U_806] : block_list_char(U_810,U_809,U_808) != seq_list_char(U_807,U_806),
inference(variable_rename,[status(thm)],[f_150_1]) ).
cnf(f_150_3,plain,
block_list_char(U_810,U_809,U_808) != seq_list_char(U_807,U_806),
inference(clausify,[status(thm)],[f_150_2]) ).
fof(f_151_1,plain,
! [Val_7,Val_6] :
( ( val_list_char(Val_7) = val_list_char(Val_6)
| Val_7 != Val_6 )
& ( Val_7 = Val_6
| val_list_char(Val_7) != val_list_char(Val_6) ) ),
inference(fof_nnf,[status(thm)],[fact_136_exp_Osimps_I3_J]) ).
fof(f_151_2,plain,
! [U_812,U_811] :
( ( val_list_char(U_812) = val_list_char(U_811)
| U_812 != U_811 )
& ( U_812 = U_811
| val_list_char(U_812) != val_list_char(U_811) ) ),
inference(variable_rename,[status(thm)],[f_151_1]) ).
fof(f_151_3,plain,
( ! [U_816,U_814] :
( val_list_char(U_816) = val_list_char(U_814)
| U_816 != U_814 )
& ! [U_815,U_813] :
( U_815 = U_813
| val_list_char(U_815) != val_list_char(U_813) ) ),
inference(miniscope,[status(thm)],[f_151_2]) ).
cnf(f_151_4,plain,
( U_815 = U_813
| val_list_char(U_815) != val_list_char(U_813) ),
inference(clausify,[status(thm)],[f_151_3]) ).
cnf(f_151_5,plain,
( val_list_char(U_816) = val_list_char(U_814)
| U_816 != U_814 ),
inference(clausify,[status(thm)],[f_151_3]) ).
fof(f_152_1,plain,
! [Exp1_6,Exp2_6,Exp1_5,Exp2_5] :
( ( seq_list_char(Exp1_6,Exp2_6) = seq_list_char(Exp1_5,Exp2_5)
| Exp2_6 != Exp2_5
| Exp1_6 != Exp1_5 )
& ( ( Exp2_6 = Exp2_5
& Exp1_6 = Exp1_5 )
| seq_list_char(Exp1_6,Exp2_6) != seq_list_char(Exp1_5,Exp2_5) ) ),
inference(fof_nnf,[status(thm)],[fact_137_exp_Osimps_I11_J]) ).
fof(f_152_2,plain,
! [U_820,U_819,U_818,U_817] :
( ( seq_list_char(U_820,U_819) = seq_list_char(U_818,U_817)
| U_819 != U_817
| U_820 != U_818 )
& ( ( U_819 = U_817
& U_820 = U_818 )
| seq_list_char(U_820,U_819) != seq_list_char(U_818,U_817) ) ),
inference(variable_rename,[status(thm)],[f_152_1]) ).
fof(f_152_3,plain,
( ! [U_828,U_826,U_824,U_822] :
( seq_list_char(U_828,U_826) = seq_list_char(U_824,U_822)
| U_826 != U_822
| U_828 != U_824 )
& ! [U_827,U_825,U_823,U_821] :
( ( U_825 = U_821
& U_827 = U_823 )
| seq_list_char(U_827,U_825) != seq_list_char(U_823,U_821) ) ),
inference(miniscope,[status(thm)],[f_152_2]) ).
cnf(f_152_4,plain,
( U_827 = U_823
| seq_list_char(U_827,U_825) != seq_list_char(U_823,U_821) ),
inference(clausify,[status(thm)],[f_152_3]) ).
cnf(f_152_5,plain,
( U_825 = U_821
| seq_list_char(U_827,U_825) != seq_list_char(U_823,U_821) ),
inference(clausify,[status(thm)],[f_152_3]) ).
cnf(f_152_6,plain,
( seq_list_char(U_828,U_826) = seq_list_char(U_824,U_822)
| U_826 != U_822
| U_828 != U_824 ),
inference(clausify,[status(thm)],[f_152_3]) ).
fof(f_153_1,plain,
! [A_10,Exp_10,A_9,Exp_9] :
( ( lAss_list_char(A_10,Exp_10) = lAss_list_char(A_9,Exp_9)
| Exp_10 != Exp_9
| A_10 != A_9 )
& ( ( Exp_10 = Exp_9
& A_10 = A_9 )
| lAss_list_char(A_10,Exp_10) != lAss_list_char(A_9,Exp_9) ) ),
inference(fof_nnf,[status(thm)],[fact_138_exp_Osimps_I6_J]) ).
fof(f_153_2,plain,
! [U_832,U_831,U_830,U_829] :
( ( lAss_list_char(U_832,U_831) = lAss_list_char(U_830,U_829)
| U_831 != U_829
| U_832 != U_830 )
& ( ( U_831 = U_829
& U_832 = U_830 )
| lAss_list_char(U_832,U_831) != lAss_list_char(U_830,U_829) ) ),
inference(variable_rename,[status(thm)],[f_153_1]) ).
fof(f_153_3,plain,
( ! [U_840,U_838,U_836,U_834] :
( lAss_list_char(U_840,U_838) = lAss_list_char(U_836,U_834)
| U_838 != U_834
| U_840 != U_836 )
& ! [U_839,U_837,U_835,U_833] :
( ( U_837 = U_833
& U_839 = U_835 )
| lAss_list_char(U_839,U_837) != lAss_list_char(U_835,U_833) ) ),
inference(miniscope,[status(thm)],[f_153_2]) ).
cnf(f_153_4,plain,
( U_839 = U_835
| lAss_list_char(U_839,U_837) != lAss_list_char(U_835,U_833) ),
inference(clausify,[status(thm)],[f_153_3]) ).
cnf(f_153_5,plain,
( U_837 = U_833
| lAss_list_char(U_839,U_837) != lAss_list_char(U_835,U_833) ),
inference(clausify,[status(thm)],[f_153_3]) ).
cnf(f_153_6,plain,
( lAss_list_char(U_840,U_838) = lAss_list_char(U_836,U_834)
| U_838 != U_834
| U_840 != U_836 ),
inference(clausify,[status(thm)],[f_153_3]) ).
fof(f_154_1,plain,
! [X_1,A_11] :
( ( hBOOL(member763590124on_val(X_1,A_11))
| ~ hBOOL(hAPP_P159683425l_bool(A_11,X_1)) )
& ( hBOOL(hAPP_P159683425l_bool(A_11,X_1))
| ~ hBOOL(member763590124on_val(X_1,A_11)) ) ),
inference(fof_nnf,[status(thm)],[fact_139_mem__def]) ).
fof(f_154_2,plain,
! [U_842,U_841] :
( ( hBOOL(member763590124on_val(U_842,U_841))
| ~ hBOOL(hAPP_P159683425l_bool(U_841,U_842)) )
& ( hBOOL(hAPP_P159683425l_bool(U_841,U_842))
| ~ hBOOL(member763590124on_val(U_842,U_841)) ) ),
inference(variable_rename,[status(thm)],[f_154_1]) ).
fof(f_154_3,plain,
( ! [U_846,U_844] :
( hBOOL(member763590124on_val(U_846,U_844))
| ~ hBOOL(hAPP_P159683425l_bool(U_844,U_846)) )
& ! [U_845,U_843] :
( hBOOL(hAPP_P159683425l_bool(U_843,U_845))
| ~ hBOOL(member763590124on_val(U_845,U_843)) ) ),
inference(miniscope,[status(thm)],[f_154_2]) ).
cnf(f_154_4,plain,
( hBOOL(hAPP_P159683425l_bool(U_843,U_845))
| ~ hBOOL(member763590124on_val(U_845,U_843)) ),
inference(clausify,[status(thm)],[f_154_3]) ).
cnf(f_154_5,plain,
( hBOOL(member763590124on_val(U_846,U_844))
| ~ hBOOL(hAPP_P159683425l_bool(U_844,U_846)) ),
inference(clausify,[status(thm)],[f_154_3]) ).
fof(f_155_1,plain,
! [X_1,A_11] :
( ( hBOOL(member840932460on_val(X_1,A_11))
| ~ hBOOL(hAPP_P1708370145l_bool(A_11,X_1)) )
& ( hBOOL(hAPP_P1708370145l_bool(A_11,X_1))
| ~ hBOOL(member840932460on_val(X_1,A_11)) ) ),
inference(fof_nnf,[status(thm)],[fact_140_mem__def]) ).
fof(f_155_2,plain,
! [U_848,U_847] :
( ( hBOOL(member840932460on_val(U_848,U_847))
| ~ hBOOL(hAPP_P1708370145l_bool(U_847,U_848)) )
& ( hBOOL(hAPP_P1708370145l_bool(U_847,U_848))
| ~ hBOOL(member840932460on_val(U_848,U_847)) ) ),
inference(variable_rename,[status(thm)],[f_155_1]) ).
fof(f_155_3,plain,
( ! [U_852,U_850] :
( hBOOL(member840932460on_val(U_852,U_850))
| ~ hBOOL(hAPP_P1708370145l_bool(U_850,U_852)) )
& ! [U_851,U_849] :
( hBOOL(hAPP_P1708370145l_bool(U_849,U_851))
| ~ hBOOL(member840932460on_val(U_851,U_849)) ) ),
inference(miniscope,[status(thm)],[f_155_2]) ).
cnf(f_155_4,plain,
( hBOOL(hAPP_P1708370145l_bool(U_849,U_851))
| ~ hBOOL(member840932460on_val(U_851,U_849)) ),
inference(clausify,[status(thm)],[f_155_3]) ).
cnf(f_155_5,plain,
( hBOOL(member840932460on_val(U_852,U_850))
| ~ hBOOL(hAPP_P1708370145l_bool(U_850,U_852)) ),
inference(clausify,[status(thm)],[f_155_3]) ).
fof(f_156_1,plain,
! [X_1,A_11] :
( ( hBOOL(member773094996on_val(X_1,A_11))
| ~ hBOOL(hAPP_P282169671l_bool(A_11,X_1)) )
& ( hBOOL(hAPP_P282169671l_bool(A_11,X_1))
| ~ hBOOL(member773094996on_val(X_1,A_11)) ) ),
inference(fof_nnf,[status(thm)],[fact_141_mem__def]) ).
fof(f_156_2,plain,
! [U_854,U_853] :
( ( hBOOL(member773094996on_val(U_854,U_853))
| ~ hBOOL(hAPP_P282169671l_bool(U_853,U_854)) )
& ( hBOOL(hAPP_P282169671l_bool(U_853,U_854))
| ~ hBOOL(member773094996on_val(U_854,U_853)) ) ),
inference(variable_rename,[status(thm)],[f_156_1]) ).
fof(f_156_3,plain,
( ! [U_858,U_856] :
( hBOOL(member773094996on_val(U_858,U_856))
| ~ hBOOL(hAPP_P282169671l_bool(U_856,U_858)) )
& ! [U_857,U_855] :
( hBOOL(hAPP_P282169671l_bool(U_855,U_857))
| ~ hBOOL(member773094996on_val(U_857,U_855)) ) ),
inference(miniscope,[status(thm)],[f_156_2]) ).
cnf(f_156_4,plain,
( hBOOL(hAPP_P282169671l_bool(U_855,U_857))
| ~ hBOOL(member773094996on_val(U_857,U_855)) ),
inference(clausify,[status(thm)],[f_156_3]) ).
cnf(f_156_5,plain,
( hBOOL(member773094996on_val(U_858,U_856))
| ~ hBOOL(hAPP_P282169671l_bool(U_856,U_858)) ),
inference(clausify,[status(thm)],[f_156_3]) ).
fof(f_157_1,plain,
! [A_10,Ty_5,Exp_10,A_9,Ty_4,Exp_9] :
( ( block_list_char(A_10,Ty_5,Exp_10) = block_list_char(A_9,Ty_4,Exp_9)
| Exp_10 != Exp_9
| Ty_5 != Ty_4
| A_10 != A_9 )
& ( ( Exp_10 = Exp_9
& Ty_5 = Ty_4
& A_10 = A_9 )
| block_list_char(A_10,Ty_5,Exp_10) != block_list_char(A_9,Ty_4,Exp_9) ) ),
inference(fof_nnf,[status(thm)],[fact_142_exp_Osimps_I10_J]) ).
fof(f_157_2,plain,
! [U_864,U_863,U_862,U_861,U_860,U_859] :
( ( block_list_char(U_864,U_863,U_862) = block_list_char(U_861,U_860,U_859)
| U_862 != U_859
| U_863 != U_860
| U_864 != U_861 )
& ( ( U_862 = U_859
& U_863 = U_860
& U_864 = U_861 )
| block_list_char(U_864,U_863,U_862) != block_list_char(U_861,U_860,U_859) ) ),
inference(variable_rename,[status(thm)],[f_157_1]) ).
fof(f_157_3,plain,
( ! [U_876,U_874,U_872,U_870,U_868,U_866] :
( block_list_char(U_876,U_874,U_872) = block_list_char(U_870,U_868,U_866)
| U_872 != U_866
| U_874 != U_868
| U_876 != U_870 )
& ! [U_875,U_873,U_871,U_869,U_867,U_865] :
( ( U_871 = U_865
& U_873 = U_867
& U_875 = U_869 )
| block_list_char(U_875,U_873,U_871) != block_list_char(U_869,U_867,U_865) ) ),
inference(miniscope,[status(thm)],[f_157_2]) ).
cnf(f_157_4,plain,
( U_875 = U_869
| block_list_char(U_875,U_873,U_871) != block_list_char(U_869,U_867,U_865) ),
inference(clausify,[status(thm)],[f_157_3]) ).
cnf(f_157_5,plain,
( U_873 = U_867
| block_list_char(U_875,U_873,U_871) != block_list_char(U_869,U_867,U_865) ),
inference(clausify,[status(thm)],[f_157_3]) ).
cnf(f_157_6,plain,
( U_871 = U_865
| block_list_char(U_875,U_873,U_871) != block_list_char(U_869,U_867,U_865) ),
inference(clausify,[status(thm)],[f_157_3]) ).
cnf(f_157_7,plain,
( block_list_char(U_876,U_874,U_872) = block_list_char(U_870,U_868,U_866)
| U_872 != U_866
| U_874 != U_868
| U_876 != U_870 ),
inference(clausify,[status(thm)],[f_157_3]) ).
fof(f_158_1,plain,
! [Val_5,Exp1_4,Exp2_4] : val_list_char(Val_5) != seq_list_char(Exp1_4,Exp2_4),
inference(fof_nnf,[status(thm)],[fact_143_exp_Osimps_I84_J]) ).
fof(f_158_2,plain,
! [U_879,U_878,U_877] : val_list_char(U_879) != seq_list_char(U_878,U_877),
inference(variable_rename,[status(thm)],[f_158_1]) ).
cnf(f_158_3,plain,
val_list_char(U_879) != seq_list_char(U_878,U_877),
inference(clausify,[status(thm)],[f_158_2]) ).
fof(f_159_1,plain,
! [Val_4,A_8,Exp_8] : val_list_char(Val_4) != lAss_list_char(A_8,Exp_8),
inference(fof_nnf,[status(thm)],[fact_144_exp_Osimps_I74_J]) ).
fof(f_159_2,plain,
! [U_882,U_881,U_880] : val_list_char(U_882) != lAss_list_char(U_881,U_880),
inference(variable_rename,[status(thm)],[f_159_1]) ).
cnf(f_159_3,plain,
val_list_char(U_882) != lAss_list_char(U_881,U_880),
inference(clausify,[status(thm)],[f_159_2]) ).
fof(f_160_1,plain,
! [Exp1_3,Exp2_3,Val_3] : seq_list_char(Exp1_3,Exp2_3) != val_list_char(Val_3),
inference(fof_nnf,[status(thm)],[fact_145_exp_Osimps_I85_J]) ).
fof(f_160_2,plain,
! [U_885,U_884,U_883] : seq_list_char(U_885,U_884) != val_list_char(U_883),
inference(variable_rename,[status(thm)],[f_160_1]) ).
cnf(f_160_3,plain,
seq_list_char(U_885,U_884) != val_list_char(U_883),
inference(clausify,[status(thm)],[f_160_2]) ).
fof(f_161_1,plain,
! [A_7,Exp_7,Val_2] : lAss_list_char(A_7,Exp_7) != val_list_char(Val_2),
inference(fof_nnf,[status(thm)],[fact_146_exp_Osimps_I75_J]) ).
fof(f_161_2,plain,
! [U_888,U_887,U_886] : lAss_list_char(U_888,U_887) != val_list_char(U_886),
inference(variable_rename,[status(thm)],[f_161_1]) ).
cnf(f_161_3,plain,
lAss_list_char(U_888,U_887) != val_list_char(U_886),
inference(clausify,[status(thm)],[f_161_2]) ).
fof(f_162_1,plain,
! [Val_1,A_6,Ty_3,Exp_6] : val_list_char(Val_1) != block_list_char(A_6,Ty_3,Exp_6),
inference(fof_nnf,[status(thm)],[fact_147_exp_Osimps_I82_J]) ).
fof(f_162_2,plain,
! [U_892,U_891,U_890,U_889] : val_list_char(U_892) != block_list_char(U_891,U_890,U_889),
inference(variable_rename,[status(thm)],[f_162_1]) ).
cnf(f_162_3,plain,
val_list_char(U_892) != block_list_char(U_891,U_890,U_889),
inference(clausify,[status(thm)],[f_162_2]) ).
fof(f_163_1,plain,
! [A_5,Ty_2,Exp_5,Val] : block_list_char(A_5,Ty_2,Exp_5) != val_list_char(Val),
inference(fof_nnf,[status(thm)],[fact_148_exp_Osimps_I83_J]) ).
fof(f_163_2,plain,
! [U_896,U_895,U_894,U_893] : block_list_char(U_896,U_895,U_894) != val_list_char(U_893),
inference(variable_rename,[status(thm)],[f_163_1]) ).
cnf(f_163_3,plain,
block_list_char(U_896,U_895,U_894) != val_list_char(U_893),
inference(clausify,[status(thm)],[f_163_2]) ).
fof(f_164_1,plain,
! [Exp1_2,Exp2_2,A_4,Exp_4] : seq_list_char(Exp1_2,Exp2_2) != lAss_list_char(A_4,Exp_4),
inference(fof_nnf,[status(thm)],[fact_149_exp_Osimps_I145_J]) ).
fof(f_164_2,plain,
! [U_900,U_899,U_898,U_897] : seq_list_char(U_900,U_899) != lAss_list_char(U_898,U_897),
inference(variable_rename,[status(thm)],[f_164_1]) ).
cnf(f_164_3,plain,
seq_list_char(U_900,U_899) != lAss_list_char(U_898,U_897),
inference(clausify,[status(thm)],[f_164_2]) ).
fof(f_165_1,plain,
! [A_3,Exp_3,Exp1_1,Exp2_1] : lAss_list_char(A_3,Exp_3) != seq_list_char(Exp1_1,Exp2_1),
inference(fof_nnf,[status(thm)],[fact_150_exp_Osimps_I144_J]) ).
fof(f_165_2,plain,
! [U_904,U_903,U_902,U_901] : lAss_list_char(U_904,U_903) != seq_list_char(U_902,U_901),
inference(variable_rename,[status(thm)],[f_165_1]) ).
cnf(f_165_3,plain,
lAss_list_char(U_904,U_903) != seq_list_char(U_902,U_901),
inference(clausify,[status(thm)],[f_165_2]) ).
fof(f_166_1,plain,
! [Exp1,Exp2,A_2,Ty_1,Exp_2] : seq_list_char(Exp1,Exp2) != block_list_char(A_2,Ty_1,Exp_2),
inference(fof_nnf,[status(thm)],[fact_151_exp_Osimps_I197_J]) ).
fof(f_166_2,plain,
! [U_909,U_908,U_907,U_906,U_905] : seq_list_char(U_909,U_908) != block_list_char(U_907,U_906,U_905),
inference(variable_rename,[status(thm)],[f_166_1]) ).
cnf(f_166_3,plain,
seq_list_char(U_909,U_908) != block_list_char(U_907,U_906,U_905),
inference(clausify,[status(thm)],[f_166_2]) ).
fof(f_167_1,plain,
! [A_1,Exp_1,A,Ty,Exp] : lAss_list_char(A_1,Exp_1) != block_list_char(A,Ty,Exp),
inference(fof_nnf,[status(thm)],[fact_152_exp_Osimps_I142_J]) ).
fof(f_167_2,plain,
! [U_914,U_913,U_912,U_911,U_910] : lAss_list_char(U_914,U_913) != block_list_char(U_912,U_911,U_910),
inference(variable_rename,[status(thm)],[f_167_1]) ).
cnf(f_167_3,plain,
lAss_list_char(U_914,U_913) != block_list_char(U_912,U_911,U_910),
inference(clausify,[status(thm)],[f_167_2]) ).
fof(f_168_1,plain,
! [Ta,V_a,Pa,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(V_a)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))
| hAPP_l207779698on_val(L_b,Va_1) != some_val(V_a)
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,some_val(Va)))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) ),
inference(fof_nnf,[status(thm)],[fact_153_redp__redsp_OInitBlockRed]) ).
fof(f_168_2,plain,
! [U_925,U_924,U_923,U_922,U_921,U_920,U_919,U_918,U_917,U_916,U_915] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_923,block_list_char(U_919,U_925,seq_list_char(lAss_list_char(U_919,val_list_char(U_918)),U_922)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_921),U_920)),block_list_char(U_919,U_925,seq_list_char(lAss_list_char(U_919,val_list_char(U_924)),U_917))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_916),fun_up1149430426on_val(U_915,U_919,hAPP_l207779698on_val(U_920,U_919)))))
| hAPP_l207779698on_val(U_915,U_919) != some_val(U_924)
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_923,U_922,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_921),fun_up1149430426on_val(U_920,U_919,some_val(U_918)))),U_917),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_916),U_915))) ),
inference(variable_rename,[status(thm)],[f_168_1]) ).
cnf(f_168_3,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_923,block_list_char(U_919,U_925,seq_list_char(lAss_list_char(U_919,val_list_char(U_918)),U_922)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_921),U_920)),block_list_char(U_919,U_925,seq_list_char(lAss_list_char(U_919,val_list_char(U_924)),U_917))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_916),fun_up1149430426on_val(U_915,U_919,hAPP_l207779698on_val(U_920,U_919)))))
| hAPP_l207779698on_val(U_915,U_919) != some_val(U_924)
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_923,U_922,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_921),fun_up1149430426on_val(U_920,U_919,some_val(U_918)))),U_917),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_916),U_915))) ),
inference(clausify,[status(thm)],[f_168_2]) ).
fof(f_169_1,plain,
! [Ta,Va,Eb,Hb,Lb,Va_1,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))),red(Pa)))
| hBOOL(assigned(Va_1,Eb))
| hAPP_l207779698on_val(L_b,Va_1) != some_val(Va)
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) ),
inference(fof_nnf,[status(thm)],[fact_154_red__reds_OBlockRedSome]) ).
fof(f_169_2,plain,
! [U_935,U_934,U_933,U_932,U_931,U_930,U_929,U_928,U_927,U_926] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_930,U_935,U_933)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_932),U_931))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_930,U_935,seq_list_char(lAss_list_char(U_930,val_list_char(U_934)),U_929))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_928),fun_up1149430426on_val(U_927,U_930,hAPP_l207779698on_val(U_931,U_930))))),red(U_926)))
| hBOOL(assigned(U_930,U_933))
| hAPP_l207779698on_val(U_927,U_930) != some_val(U_934)
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_933),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_932),fun_up1149430426on_val(U_931,U_930,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_929),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_928),U_927))),red(U_926))) ),
inference(variable_rename,[status(thm)],[f_169_1]) ).
cnf(f_169_3,plain,
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_930,U_935,U_933)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_932),U_931))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_930,U_935,seq_list_char(lAss_list_char(U_930,val_list_char(U_934)),U_929))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_928),fun_up1149430426on_val(U_927,U_930,hAPP_l207779698on_val(U_931,U_930))))),red(U_926)))
| hBOOL(assigned(U_930,U_933))
| hAPP_l207779698on_val(U_927,U_930) != some_val(U_934)
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_933),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_932),fun_up1149430426on_val(U_931,U_930,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_929),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_928),U_927))),red(U_926))) ),
inference(clausify,[status(thm)],[f_169_2]) ).
fof(f_170_1,plain,
! [E_2,Pa,Eb,S,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Eb,E_2),S),seq_list_char(E_b,E_2)),S_1))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) ),
inference(fof_nnf,[status(thm)],[fact_155_redp__redsp_OSeqRed]) ).
fof(f_170_2,plain,
! [U_941,U_940,U_939,U_938,U_937,U_936] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_940,seq_list_char(U_939,U_941),U_938),seq_list_char(U_937,U_941)),U_936))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_940,U_939,U_938),U_937),U_936)) ),
inference(variable_rename,[status(thm)],[f_170_1]) ).
cnf(f_170_3,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_940,seq_list_char(U_939,U_941),U_938),seq_list_char(U_937,U_941)),U_936))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_940,U_939,U_938),U_937),U_936)) ),
inference(clausify,[status(thm)],[f_170_2]) ).
fof(f_171_1,plain,
! [Va_1,Pa,Eb,S,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,Eb),S),lAss_list_char(Va_1,E_b)),S_1))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) ),
inference(fof_nnf,[status(thm)],[fact_156_redp__redsp_OLAssRed]) ).
fof(f_171_2,plain,
! [U_947,U_946,U_945,U_944,U_943,U_942] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_946,lAss_list_char(U_947,U_945),U_944),lAss_list_char(U_947,U_943)),U_942))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_946,U_945,U_944),U_943),U_942)) ),
inference(variable_rename,[status(thm)],[f_171_1]) ).
cnf(f_171_3,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_946,lAss_list_char(U_947,U_945),U_944),lAss_list_char(U_947,U_943)),U_942))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_946,U_945,U_944),U_943),U_942)) ),
inference(clausify,[status(thm)],[f_171_2]) ).
fof(f_172_1,plain,
! [Ta,Pa,Eb,Hb,Lb,Va_1,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))
| hBOOL(assigned(Va_1,Eb))
| hAPP_l207779698on_val(L_b,Va_1) != none_val
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) ),
inference(fof_nnf,[status(thm)],[fact_157_redp__redsp_OBlockRedNone]) ).
fof(f_172_2,plain,
! [U_956,U_955,U_954,U_953,U_952,U_951,U_950,U_949,U_948] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_955,block_list_char(U_951,U_956,U_954),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_953),U_952)),block_list_char(U_951,U_956,U_950)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_949),fun_up1149430426on_val(U_948,U_951,hAPP_l207779698on_val(U_952,U_951)))))
| hBOOL(assigned(U_951,U_954))
| hAPP_l207779698on_val(U_948,U_951) != none_val
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_955,U_954,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_953),fun_up1149430426on_val(U_952,U_951,none_val))),U_950),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_949),U_948))) ),
inference(variable_rename,[status(thm)],[f_172_1]) ).
cnf(f_172_3,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_955,block_list_char(U_951,U_956,U_954),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_953),U_952)),block_list_char(U_951,U_956,U_950)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_949),fun_up1149430426on_val(U_948,U_951,hAPP_l207779698on_val(U_952,U_951)))))
| hBOOL(assigned(U_951,U_954))
| hAPP_l207779698on_val(U_948,U_951) != none_val
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_955,U_954,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_953),fun_up1149430426on_val(U_952,U_951,none_val))),U_950),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_949),U_948))) ),
inference(clausify,[status(thm)],[f_172_2]) ).
fof(f_173_1,plain,
! [Pa,Va,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(val_list_char(Va),E_2),S),E_2),S)),
inference(fof_nnf,[status(thm)],[fact_158_redp__redsp_ORedSeq]) ).
fof(f_173_2,plain,
! [U_960,U_959,U_958,U_957] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_960,seq_list_char(val_list_char(U_959),U_958),U_957),U_958),U_957)),
inference(variable_rename,[status(thm)],[f_173_1]) ).
cnf(f_173_3,plain,
hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_960,seq_list_char(val_list_char(U_959),U_958),U_957),U_958),U_957)),
inference(clausify,[status(thm)],[f_173_2]) ).
fof(f_174_1,plain,
! [T,K,X_1] :
? [X] : hAPP_l207779698on_val(fun_up1149430426on_val(T,K,some_val(X_1)),X) != none_val,
inference(fof_nnf,[status(thm)],[fact_159_map__upd__nonempty]) ).
fof(f_174_2,plain,
! [U_964,U_963,U_962] :
? [U_961] : hAPP_l207779698on_val(fun_up1149430426on_val(U_964,U_963,some_val(U_962)),U_961) != none_val,
inference(variable_rename,[status(thm)],[f_174_1]) ).
fof(f_174_3,plain,
! [U_964,U_963,U_962] : hAPP_l207779698on_val(fun_up1149430426on_val(U_964,U_963,some_val(U_962)),sK118(U_964,U_963,U_962)) != none_val,
inference(skolemize,[status(esa),new_symbols(skolem,[sK118]),skolemize(U_961,sK118(U_964,U_963,U_962))],[f_174_2]) ).
cnf(f_174_4,plain,
hAPP_l207779698on_val(fun_up1149430426on_val(U_964,U_963,some_val(U_962)),sK118(U_964,U_963,U_962)) != none_val,
inference(clausify,[status(thm)],[f_174_3]) ).
fof(f_175_1,plain,
! [T,K,X_1] :
? [X] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(T,K,some_ty(X_1)),X) != none_ty,
inference(fof_nnf,[status(thm)],[fact_160_map__upd__nonempty]) ).
fof(f_175_2,plain,
! [U_968,U_967,U_966] :
? [U_965] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_968,U_967,some_ty(U_966)),U_965) != none_ty,
inference(variable_rename,[status(thm)],[f_175_1]) ).
fof(f_175_3,plain,
! [U_968,U_967,U_966] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_968,U_967,some_ty(U_966)),sK119(U_968,U_967,U_966)) != none_ty,
inference(skolemize,[status(esa),new_symbols(skolem,[sK119]),skolemize(U_965,sK119(U_968,U_967,U_966))],[f_175_2]) ).
cnf(f_175_4,plain,
hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_968,U_967,some_ty(U_966)),sK119(U_968,U_967,U_966)) != none_ty,
inference(clausify,[status(thm)],[f_175_3]) ).
fof(f_176_1,plain,
! [Pa,Va_1,Ta,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,val_list_char(U)),S),val_list_char(U)),S)),
inference(fof_nnf,[status(thm)],[fact_161_redp__redsp_ORedBlock]) ).
fof(f_176_2,plain,
! [U_973,U_972,U_971,U_970,U_969] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_973,block_list_char(U_972,U_971,val_list_char(U_970)),U_969),val_list_char(U_970)),U_969)),
inference(variable_rename,[status(thm)],[f_176_1]) ).
cnf(f_176_3,plain,
hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_973,block_list_char(U_972,U_971,val_list_char(U_970)),U_969),val_list_char(U_970)),U_969)),
inference(clausify,[status(thm)],[f_176_2]) ).
fof(f_177_1,plain,
! [X_1,X] : hAPP_l207779698on_val(fun_up1149430426on_val(cOMBK_1097134891t_char(none_val),X_1,none_val),X) = none_val,
inference(fof_nnf,[status(thm)],[fact_162_empty__upd__none]) ).
fof(f_177_2,plain,
! [U_975,U_974] : hAPP_l207779698on_val(fun_up1149430426on_val(cOMBK_1097134891t_char(none_val),U_975,none_val),U_974) = none_val,
inference(variable_rename,[status(thm)],[f_177_1]) ).
cnf(f_177_3,plain,
hAPP_l207779698on_val(fun_up1149430426on_val(cOMBK_1097134891t_char(none_val),U_975,none_val),U_974) = none_val,
inference(clausify,[status(thm)],[f_177_2]) ).
fof(f_178_1,plain,
! [X_1,X] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(cOMBK_1294242658t_char(none_ty),X_1,none_ty),X) = none_ty,
inference(fof_nnf,[status(thm)],[fact_163_empty__upd__none]) ).
fof(f_178_2,plain,
! [U_977,U_976] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(cOMBK_1294242658t_char(none_ty),U_977,none_ty),U_976) = none_ty,
inference(variable_rename,[status(thm)],[f_178_1]) ).
cnf(f_178_3,plain,
hAPP_l512744617ion_ty(fun_up424764369ion_ty(cOMBK_1294242658t_char(none_ty),U_977,none_ty),U_976) = none_ty,
inference(clausify,[status(thm)],[f_178_2]) ).
fof(f_179_1,plain,
! [Ta,Va,Pa,Eb,Hb,Lb,Va_1,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))
| hBOOL(assigned(Va_1,Eb))
| hAPP_l207779698on_val(L_b,Va_1) != some_val(Va)
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) ),
inference(fof_nnf,[status(thm)],[fact_164_redp__redsp_OBlockRedSome]) ).
fof(f_179_2,plain,
! [U_987,U_986,U_985,U_984,U_983,U_982,U_981,U_980,U_979,U_978] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_985,block_list_char(U_981,U_987,U_984),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_983),U_982)),block_list_char(U_981,U_987,seq_list_char(lAss_list_char(U_981,val_list_char(U_986)),U_980))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_979),fun_up1149430426on_val(U_978,U_981,hAPP_l207779698on_val(U_982,U_981)))))
| hBOOL(assigned(U_981,U_984))
| hAPP_l207779698on_val(U_978,U_981) != some_val(U_986)
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_985,U_984,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_983),fun_up1149430426on_val(U_982,U_981,none_val))),U_980),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_979),U_978))) ),
inference(variable_rename,[status(thm)],[f_179_1]) ).
cnf(f_179_3,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_985,block_list_char(U_981,U_987,U_984),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_983),U_982)),block_list_char(U_981,U_987,seq_list_char(lAss_list_char(U_981,val_list_char(U_986)),U_980))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_979),fun_up1149430426on_val(U_978,U_981,hAPP_l207779698on_val(U_982,U_981)))))
| hBOOL(assigned(U_981,U_984))
| hAPP_l207779698on_val(U_978,U_981) != some_val(U_986)
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_985,U_984,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_983),fun_up1149430426on_val(U_982,U_981,none_val))),U_980),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_979),U_978))) ),
inference(clausify,[status(thm)],[f_179_2]) ).
fof(f_180_1,plain,
! [Pa,X,Xa,Xb,Xc] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,X,Xa),Xb),Xc))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xb),Xc)),red(Pa))) )
& ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X),Xa)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xb),Xc)),red(Pa)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,X,Xa),Xb),Xc)) ) ),
inference(fof_nnf,[status(thm)],[fact_165_redp__red__eq]) ).
fof(f_180_2,plain,
! [U_992,U_991,U_990,U_989,U_988] :
( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_992,U_991,U_990),U_989),U_988))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_991),U_990)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_989),U_988)),red(U_992))) )
& ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_991),U_990)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_989),U_988)),red(U_992)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_992,U_991,U_990),U_989),U_988)) ) ),
inference(variable_rename,[status(thm)],[f_180_1]) ).
fof(f_180_3,plain,
( ! [U_1002,U_1000,U_998,U_996,U_994] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_1002,U_1000,U_998),U_996),U_994))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1000),U_998)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_996),U_994)),red(U_1002))) )
& ! [U_1001,U_999,U_997,U_995,U_993] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_999),U_997)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_995),U_993)),red(U_1001)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_1001,U_999,U_997),U_995),U_993)) ) ),
inference(miniscope,[status(thm)],[f_180_2]) ).
cnf(f_180_4,plain,
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_999),U_997)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_995),U_993)),red(U_1001)))
| ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_1001,U_999,U_997),U_995),U_993)) ),
inference(clausify,[status(thm)],[f_180_3]) ).
cnf(f_180_5,plain,
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_1002,U_1000,U_998),U_996),U_994))
| ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1000),U_998)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_996),U_994)),red(U_1002))) ),
inference(clausify,[status(thm)],[f_180_3]) ).
fof(f_181_1,plain,
! [Pa,Va_1,Ta,Va,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,val_list_char(Va)),val_list_char(U))),S),val_list_char(U)),S)),
inference(fof_nnf,[status(thm)],[fact_166_redp__redsp_ORedInitBlock]) ).
fof(f_181_2,plain,
! [U_1008,U_1007,U_1006,U_1005,U_1004,U_1003] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_1008,block_list_char(U_1007,U_1006,seq_list_char(lAss_list_char(U_1007,val_list_char(U_1005)),val_list_char(U_1004))),U_1003),val_list_char(U_1004)),U_1003)),
inference(variable_rename,[status(thm)],[f_181_1]) ).
cnf(f_181_3,plain,
hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_1008,block_list_char(U_1007,U_1006,seq_list_char(lAss_list_char(U_1007,val_list_char(U_1005)),val_list_char(U_1004))),U_1003),val_list_char(U_1004)),U_1003)),
inference(clausify,[status(thm)],[f_181_2]) ).
fof(f_182_1,plain,
! [Q,P] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
| ~ hBOOL(Q)
| ~ hBOOL(P) ),
inference(fof_nnf,[status(thm)],[help_fconj_1_1_U]) ).
fof(f_182_2,plain,
! [U_1010,U_1009] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_1009),U_1010))
| ~ hBOOL(U_1010)
| ~ hBOOL(U_1009) ),
inference(variable_rename,[status(thm)],[f_182_1]) ).
fof(f_182_3,plain,
! [U_1010] :
( ! [U_1009] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_1009),U_1010))
| ~ hBOOL(U_1009) )
| ~ hBOOL(U_1010) ),
inference(miniscope,[status(thm)],[f_182_2]) ).
cnf(f_182_4,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_1009),U_1010))
| ~ hBOOL(U_1009)
| ~ hBOOL(U_1010) ),
inference(clausify,[status(thm)],[f_182_3]) ).
fof(f_183_1,plain,
! [P,Q] :
( hBOOL(P)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ),
inference(fof_nnf,[status(thm)],[help_fconj_2_1_U]) ).
fof(f_183_2,plain,
! [U_1012,U_1011] :
( hBOOL(U_1012)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_1012),U_1011)) ),
inference(variable_rename,[status(thm)],[f_183_1]) ).
fof(f_183_3,plain,
! [U_1012] :
( ! [U_1011] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_1012),U_1011))
| hBOOL(U_1012) ),
inference(miniscope,[status(thm)],[f_183_2]) ).
cnf(f_183_4,plain,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_1012),U_1011))
| hBOOL(U_1012) ),
inference(clausify,[status(thm)],[f_183_3]) ).
fof(f_184_1,plain,
! [P,Q] :
( hBOOL(Q)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ),
inference(fof_nnf,[status(thm)],[help_fconj_3_1_U]) ).
fof(f_184_2,plain,
! [U_1014,U_1013] :
( hBOOL(U_1013)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_1014),U_1013)) ),
inference(variable_rename,[status(thm)],[f_184_1]) ).
cnf(f_184_3,plain,
( hBOOL(U_1013)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_1014),U_1013)) ),
inference(clausify,[status(thm)],[f_184_2]) ).
fof(f_185_1,plain,
! [P,Q] : hAPP_l512744617ion_ty(cOMBK_1294242658t_char(P),Q) = P,
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__List__Olist_]) ).
fof(f_185_2,plain,
! [U_1016,U_1015] : hAPP_l512744617ion_ty(cOMBK_1294242658t_char(U_1016),U_1015) = U_1016,
inference(variable_rename,[status(thm)],[f_185_1]) ).
cnf(f_185_3,plain,
hAPP_l512744617ion_ty(cOMBK_1294242658t_char(U_1016),U_1015) = U_1016,
inference(clausify,[status(thm)],[f_185_2]) ).
fof(f_186_1,plain,
! [P,Q] : hAPP_l207779698on_val(cOMBK_1097134891t_char(P),Q) = P,
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__List__Olis]) ).
fof(f_186_2,plain,
! [U_1018,U_1017] : hAPP_l207779698on_val(cOMBK_1097134891t_char(U_1018),U_1017) = U_1018,
inference(variable_rename,[status(thm)],[f_186_1]) ).
cnf(f_186_3,plain,
hAPP_l207779698on_val(cOMBK_1097134891t_char(U_1018),U_1017) = U_1018,
inference(clausify,[status(thm)],[f_186_2]) ).
fof(f_187_1,plain,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_f1033709212l_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__List__O]) ).
fof(f_187_2,plain,
! [U_1021,U_1020,U_1019] : hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,U_1021),U_1020),U_1019) = hAPP_bool_bool(U_1021,hAPP_f1033709212l_bool(U_1020,U_1019)),
inference(variable_rename,[status(thm)],[f_187_1]) ).
cnf(f_187_3,plain,
hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,U_1021),U_1020),U_1019) = hAPP_bool_bool(U_1021,hAPP_f1033709212l_bool(U_1020,U_1019)),
inference(clausify,[status(thm)],[f_187_2]) ).
fof(f_188_1,plain,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,P),Q),R) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(P,R),Q),
inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio]) ).
fof(f_188_2,plain,
! [U_1024,U_1023,U_1022] : hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,U_1024),U_1023),U_1022) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(U_1024,U_1022),U_1023),
inference(variable_rename,[status(thm)],[f_188_1]) ).
cnf(f_188_3,plain,
hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,U_1024),U_1023),U_1022) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(U_1024,U_1022),U_1023),
inference(clausify,[status(thm)],[f_188_2]) ).
fof(f_189_1,plain,
! [P,Q,R] : hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_f61040418l_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo]) ).
fof(f_189_2,plain,
! [U_1027,U_1026,U_1025] : hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,U_1027),U_1026),U_1025) = hAPP_b589554111l_bool(U_1027,hAPP_f61040418l_bool(U_1026,U_1025)),
inference(variable_rename,[status(thm)],[f_189_1]) ).
cnf(f_189_3,plain,
hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,U_1027),U_1026),U_1025) = hAPP_b589554111l_bool(U_1027,hAPP_f61040418l_bool(U_1026,U_1025)),
inference(clausify,[status(thm)],[f_189_2]) ).
fof(f_190_1,plain,
! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f2134824737l_bool(hAPP_f1308714617l_bool(cOMBB_338347573on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_P159683425l_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__fun_It]) ).
fof(f_190_2,plain,
! [U_1030,U_1029,U_1028] : hAPP_P159683425l_bool(hAPP_f2134824737l_bool(hAPP_f1308714617l_bool(cOMBB_338347573on_val,U_1030),U_1029),U_1028) = hAPP_bool_bool(U_1030,hAPP_P159683425l_bool(U_1029,U_1028)),
inference(variable_rename,[status(thm)],[f_190_1]) ).
cnf(f_190_3,plain,
hAPP_P159683425l_bool(hAPP_f2134824737l_bool(hAPP_f1308714617l_bool(cOMBB_338347573on_val,U_1030),U_1029),U_1028) = hAPP_bool_bool(U_1030,hAPP_P159683425l_bool(U_1029,U_1028)),
inference(clausify,[status(thm)],[f_190_2]) ).
fof(f_191_1,plain,
! [P,Q,R] : hAPP_P1708370145l_bool(hAPP_f926562337l_bool(hAPP_f1560238713l_bool(cOMBB_672625589on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_P1708370145l_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__Expr__]) ).
fof(f_191_2,plain,
! [U_1033,U_1032,U_1031] : hAPP_P1708370145l_bool(hAPP_f926562337l_bool(hAPP_f1560238713l_bool(cOMBB_672625589on_val,U_1033),U_1032),U_1031) = hAPP_bool_bool(U_1033,hAPP_P1708370145l_bool(U_1032,U_1031)),
inference(variable_rename,[status(thm)],[f_191_1]) ).
cnf(f_191_3,plain,
hAPP_P1708370145l_bool(hAPP_f926562337l_bool(hAPP_f1560238713l_bool(cOMBB_672625589on_val,U_1033),U_1032),U_1031) = hAPP_bool_bool(U_1033,hAPP_P1708370145l_bool(U_1032,U_1031)),
inference(clausify,[status(thm)],[f_191_2]) ).
fof(f_192_1,plain,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,P),Q),R) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(P,R),Q),
inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It]) ).
fof(f_192_2,plain,
! [U_1036,U_1035,U_1034] : hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,U_1036),U_1035),U_1034) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(U_1036,U_1034),U_1035),
inference(variable_rename,[status(thm)],[f_192_1]) ).
cnf(f_192_3,plain,
hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,U_1036),U_1035),U_1034) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(U_1036,U_1034),U_1035),
inference(clausify,[status(thm)],[f_192_2]) ).
fof(f_193_1,plain,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_f1727192346on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It]) ).
fof(f_193_2,plain,
! [U_1039,U_1038,U_1037] : hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,U_1039),U_1038),U_1037) = hAPP_P159683425l_bool(U_1039,hAPP_f1727192346on_val(U_1038,U_1037)),
inference(variable_rename,[status(thm)],[f_193_1]) ).
cnf(f_193_3,plain,
hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,U_1039),U_1038),U_1037) = hAPP_P159683425l_bool(U_1039,hAPP_f1727192346on_val(U_1038,U_1037)),
inference(clausify,[status(thm)],[f_193_2]) ).
fof(f_194_1,plain,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,P),Q),R) = hAPP_f1074020887l_bool(P,hAPP_f1175813647l_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M]) ).
fof(f_194_2,plain,
! [U_1042,U_1041,U_1040] : hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,U_1042),U_1041),U_1040) = hAPP_f1074020887l_bool(U_1042,hAPP_f1175813647l_bool(U_1041,U_1040)),
inference(variable_rename,[status(thm)],[f_194_1]) ).
cnf(f_194_3,plain,
hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,U_1042),U_1041),U_1040) = hAPP_f1074020887l_bool(U_1042,hAPP_f1175813647l_bool(U_1041,U_1040)),
inference(clausify,[status(thm)],[f_194_2]) ).
fof(f_195_1,plain,
! [P,Q,R] : hAPP_f1175813647l_bool(cOMBS_570216337l_bool(P,Q),R) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(P,R),hAPP_f1175813647l_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It]) ).
fof(f_195_2,plain,
! [U_1045,U_1044,U_1043] : hAPP_f1175813647l_bool(cOMBS_570216337l_bool(U_1045,U_1044),U_1043) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(U_1045,U_1043),hAPP_f1175813647l_bool(U_1044,U_1043)),
inference(variable_rename,[status(thm)],[f_195_1]) ).
cnf(f_195_3,plain,
hAPP_f1175813647l_bool(cOMBS_570216337l_bool(U_1045,U_1044),U_1043) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(U_1045,U_1043),hAPP_f1175813647l_bool(U_1044,U_1043)),
inference(clausify,[status(thm)],[f_195_2]) ).
fof(f_196_1,plain,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f318082871l_bool(hAPP_f1233687287l_bool(cOMBB_171276332on_val,P),Q),R) = hAPP_P1708370145l_bool(P,hAPP_f1926378906on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O]) ).
fof(f_196_2,plain,
! [U_1048,U_1047,U_1046] : hAPP_f1033709212l_bool(hAPP_f318082871l_bool(hAPP_f1233687287l_bool(cOMBB_171276332on_val,U_1048),U_1047),U_1046) = hAPP_P1708370145l_bool(U_1048,hAPP_f1926378906on_val(U_1047,U_1046)),
inference(variable_rename,[status(thm)],[f_196_1]) ).
cnf(f_196_3,plain,
hAPP_f1033709212l_bool(hAPP_f318082871l_bool(hAPP_f1233687287l_bool(cOMBB_171276332on_val,U_1048),U_1047),U_1046) = hAPP_P1708370145l_bool(U_1048,hAPP_f1926378906on_val(U_1047,U_1046)),
inference(clausify,[status(thm)],[f_196_2]) ).
fof(f_197_1,plain,
! [P,Q,R] : hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,P),Q),R) = hAPP_f1863694447l_bool(P,hAPP_f1145256474l_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc]) ).
fof(f_197_2,plain,
! [U_1051,U_1050,U_1049] : hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,U_1051),U_1050),U_1049) = hAPP_f1863694447l_bool(U_1051,hAPP_f1145256474l_bool(U_1050,U_1049)),
inference(variable_rename,[status(thm)],[f_197_1]) ).
cnf(f_197_3,plain,
hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,U_1051),U_1050),U_1049) = hAPP_f1863694447l_bool(U_1051,hAPP_f1145256474l_bool(U_1050,U_1049)),
inference(clausify,[status(thm)],[f_197_2]) ).
fof(f_198_1,plain,
! [P,Q,R] : hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,P),Q),R) = hAPP_f181262431l_bool(P,hAPP_f1213370163y_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_002]) ).
fof(f_198_2,plain,
! [U_1054,U_1053,U_1052] : hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,U_1054),U_1053),U_1052) = hAPP_f181262431l_bool(U_1054,hAPP_f1213370163y_bool(U_1053,U_1052)),
inference(variable_rename,[status(thm)],[f_198_1]) ).
cnf(f_198_3,plain,
hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,U_1054),U_1053),U_1052) = hAPP_f181262431l_bool(U_1054,hAPP_f1213370163y_bool(U_1053,U_1052)),
inference(clausify,[status(thm)],[f_198_2]) ).
fof(f_199_1,plain,
! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f1301559543l_bool(hAPP_f1825030711l_bool(cOMBB_877741809on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P1776198677on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_003]) ).
fof(f_199_2,plain,
! [U_1057,U_1056,U_1055] : hAPP_P159683425l_bool(hAPP_f1301559543l_bool(hAPP_f1825030711l_bool(cOMBB_877741809on_val,U_1057),U_1056),U_1055) = hAPP_P159683425l_bool(U_1057,hAPP_P1776198677on_val(U_1056,U_1055)),
inference(variable_rename,[status(thm)],[f_199_1]) ).
cnf(f_199_3,plain,
hAPP_P159683425l_bool(hAPP_f1301559543l_bool(hAPP_f1825030711l_bool(cOMBB_877741809on_val,U_1057),U_1056),U_1055) = hAPP_P159683425l_bool(U_1057,hAPP_P1776198677on_val(U_1056,U_1055)),
inference(clausify,[status(thm)],[f_199_2]) ).
fof(f_200_1,plain,
! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f489055607l_bool(hAPP_f10074679l_bool(cOMBB_1759207793on_val,P),Q),R) = hAPP_P1708370145l_bool(P,hAPP_P604205461on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O_004]) ).
fof(f_200_2,plain,
! [U_1060,U_1059,U_1058] : hAPP_P159683425l_bool(hAPP_f489055607l_bool(hAPP_f10074679l_bool(cOMBB_1759207793on_val,U_1060),U_1059),U_1058) = hAPP_P1708370145l_bool(U_1060,hAPP_P604205461on_val(U_1059,U_1058)),
inference(variable_rename,[status(thm)],[f_200_1]) ).
cnf(f_200_3,plain,
hAPP_P159683425l_bool(hAPP_f489055607l_bool(hAPP_f10074679l_bool(cOMBB_1759207793on_val,U_1060),U_1059),U_1058) = hAPP_P1708370145l_bool(U_1060,hAPP_P604205461on_val(U_1059,U_1058)),
inference(clausify,[status(thm)],[f_200_2]) ).
fof(f_201_1,plain,
! [P,Q,R] : hAPP_P1708370145l_bool(hAPP_f1712766199l_bool(hAPP_f881985847l_bool(cOMBB_1083177073on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P789556885on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_005]) ).
fof(f_201_2,plain,
! [U_1063,U_1062,U_1061] : hAPP_P1708370145l_bool(hAPP_f1712766199l_bool(hAPP_f881985847l_bool(cOMBB_1083177073on_val,U_1063),U_1062),U_1061) = hAPP_P159683425l_bool(U_1063,hAPP_P789556885on_val(U_1062,U_1061)),
inference(variable_rename,[status(thm)],[f_201_1]) ).
cnf(f_201_3,plain,
hAPP_P1708370145l_bool(hAPP_f1712766199l_bool(hAPP_f881985847l_bool(cOMBB_1083177073on_val,U_1063),U_1062),U_1061) = hAPP_P159683425l_bool(U_1063,hAPP_P789556885on_val(U_1062,U_1061)),
inference(clausify,[status(thm)],[f_201_2]) ).
fof(f_202_1,plain,
! [P,Q,R] : hAPP_e1833980889l_bool(hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,P),Q),R) = hAPP_f2134824737l_bool(P,hAPP_e1833980889l_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O]) ).
fof(f_202_2,plain,
! [U_1066,U_1065,U_1064] : hAPP_e1833980889l_bool(hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,U_1066),U_1065),U_1064) = hAPP_f2134824737l_bool(U_1066,hAPP_e1833980889l_bool(U_1065,U_1064)),
inference(variable_rename,[status(thm)],[f_202_1]) ).
cnf(f_202_3,plain,
hAPP_e1833980889l_bool(hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,U_1066),U_1065),U_1064) = hAPP_f2134824737l_bool(U_1066,hAPP_e1833980889l_bool(U_1065,U_1064)),
inference(clausify,[status(thm)],[f_202_2]) ).
fof(f_203_1,plain,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,P),Q),R) = hAPP_f1008932791l_bool(P,hAPP_f1849790461on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_006]) ).
fof(f_203_2,plain,
! [U_1069,U_1068,U_1067] : hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,U_1069),U_1068),U_1067) = hAPP_f1008932791l_bool(U_1069,hAPP_f1849790461on_val(U_1068,U_1067)),
inference(variable_rename,[status(thm)],[f_203_1]) ).
cnf(f_203_3,plain,
hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,U_1069),U_1068),U_1067) = hAPP_f1008932791l_bool(U_1069,hAPP_f1849790461on_val(U_1068,U_1067)),
inference(clausify,[status(thm)],[f_203_2]) ).
fof(f_204_1,plain,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,P),Q),R) = hAPP_f318082871l_bool(P,hAPP_f1840640125on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_007]) ).
fof(f_204_2,plain,
! [U_1072,U_1071,U_1070] : hAPP_f1175813647l_bool(hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,U_1072),U_1071),U_1070) = hAPP_f318082871l_bool(U_1072,hAPP_f1840640125on_val(U_1071,U_1070)),
inference(variable_rename,[status(thm)],[f_204_1]) ).
cnf(f_204_3,plain,
hAPP_f1175813647l_bool(hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,U_1072),U_1071),U_1070) = hAPP_f318082871l_bool(U_1072,hAPP_f1840640125on_val(U_1071,U_1070)),
inference(clausify,[status(thm)],[f_204_2]) ).
fof(f_205_1,plain,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f524589473l_bool(hAPP_f2052660463l_bool(cOMBB_1292453606on_val,P),Q),R) = hAPP_P282169671l_bool(P,hAPP_f602593190on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_]) ).
fof(f_205_2,plain,
! [U_1075,U_1074,U_1073] : hAPP_f1033709212l_bool(hAPP_f524589473l_bool(hAPP_f2052660463l_bool(cOMBB_1292453606on_val,U_1075),U_1074),U_1073) = hAPP_P282169671l_bool(U_1075,hAPP_f602593190on_val(U_1074,U_1073)),
inference(variable_rename,[status(thm)],[f_205_1]) ).
cnf(f_205_3,plain,
hAPP_f1033709212l_bool(hAPP_f524589473l_bool(hAPP_f2052660463l_bool(cOMBB_1292453606on_val,U_1075),U_1074),U_1073) = hAPP_P282169671l_bool(U_1075,hAPP_f602593190on_val(U_1074,U_1073)),
inference(clausify,[status(thm)],[f_205_2]) ).
fof(f_206_1,plain,
! [P,Q,R] : hAPP_e1833980889l_bool(hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,P),Q),R) = hAPP_f1301559543l_bool(P,hAPP_e108155315on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_008]) ).
fof(f_206_2,plain,
! [U_1078,U_1077,U_1076] : hAPP_e1833980889l_bool(hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,U_1078),U_1077),U_1076) = hAPP_f1301559543l_bool(U_1078,hAPP_e108155315on_val(U_1077,U_1076)),
inference(variable_rename,[status(thm)],[f_206_1]) ).
cnf(f_206_3,plain,
hAPP_e1833980889l_bool(hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,U_1078),U_1077),U_1076) = hAPP_f1301559543l_bool(U_1078,hAPP_e108155315on_val(U_1077,U_1076)),
inference(clausify,[status(thm)],[f_206_2]) ).
fof(f_207_1,plain,
! [P,Q,R] : hAPP_e1833980889l_bool(hAPP_f439412817l_bool(hAPP_f1725502637l_bool(cOMBB_1027621637t_char,P),Q),R) = hAPP_f489055607l_bool(P,hAPP_e1659493427on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_009]) ).
fof(f_207_2,plain,
! [U_1081,U_1080,U_1079] : hAPP_e1833980889l_bool(hAPP_f439412817l_bool(hAPP_f1725502637l_bool(cOMBB_1027621637t_char,U_1081),U_1080),U_1079) = hAPP_f489055607l_bool(U_1081,hAPP_e1659493427on_val(U_1080,U_1079)),
inference(variable_rename,[status(thm)],[f_207_1]) ).
cnf(f_207_3,plain,
hAPP_e1833980889l_bool(hAPP_f439412817l_bool(hAPP_f1725502637l_bool(cOMBB_1027621637t_char,U_1081),U_1080),U_1079) = hAPP_f489055607l_bool(U_1081,hAPP_e1659493427on_val(U_1080,U_1079)),
inference(clausify,[status(thm)],[f_207_2]) ).
fof(f_208_1,plain,
! [P,Q,R] : hAPP_P1708370145l_bool(hAPP_f204771371l_bool(hAPP_f365540729l_bool(cOMBB_1466662571on_val,P),Q),R) = hAPP_P282169671l_bool(P,hAPP_P1886180715on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__010]) ).
fof(f_208_2,plain,
! [U_1084,U_1083,U_1082] : hAPP_P1708370145l_bool(hAPP_f204771371l_bool(hAPP_f365540729l_bool(cOMBB_1466662571on_val,U_1084),U_1083),U_1082) = hAPP_P282169671l_bool(U_1084,hAPP_P1886180715on_val(U_1083,U_1082)),
inference(variable_rename,[status(thm)],[f_208_1]) ).
cnf(f_208_3,plain,
hAPP_P1708370145l_bool(hAPP_f204771371l_bool(hAPP_f365540729l_bool(cOMBB_1466662571on_val,U_1084),U_1083),U_1082) = hAPP_P282169671l_bool(U_1084,hAPP_P1886180715on_val(U_1083,U_1082)),
inference(clausify,[status(thm)],[f_208_2]) ).
fof(f_209_1,plain,
! [P,Q,R] : hAPP_P1116729363l_bool(hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,P),Q),R) = hAPP_f926562337l_bool(P,hAPP_P1116729363l_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__]) ).
fof(f_209_2,plain,
! [U_1087,U_1086,U_1085] : hAPP_P1116729363l_bool(hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,U_1087),U_1086),U_1085) = hAPP_f926562337l_bool(U_1087,hAPP_P1116729363l_bool(U_1086,U_1085)),
inference(variable_rename,[status(thm)],[f_209_1]) ).
cnf(f_209_3,plain,
hAPP_P1116729363l_bool(hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,U_1087),U_1086),U_1085) = hAPP_f926562337l_bool(U_1087,hAPP_P1116729363l_bool(U_1086,U_1085)),
inference(clausify,[status(thm)],[f_209_2]) ).
fof(f_210_1,plain,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,P),Q),R) = hAPP_f524589473l_bool(P,hAPP_f600512025on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_011]) ).
fof(f_210_2,plain,
! [U_1090,U_1089,U_1088] : hAPP_f1175813647l_bool(hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,U_1090),U_1089),U_1088) = hAPP_f524589473l_bool(U_1090,hAPP_f600512025on_val(U_1089,U_1088)),
inference(variable_rename,[status(thm)],[f_210_1]) ).
cnf(f_210_3,plain,
hAPP_f1175813647l_bool(hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,U_1090),U_1089),U_1088) = hAPP_f524589473l_bool(U_1090,hAPP_f600512025on_val(U_1089,U_1088)),
inference(clausify,[status(thm)],[f_210_2]) ).
fof(f_211_1,plain,
! [P,Q,R] : hAPP_P1116729363l_bool(hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,P),Q),R) = hAPP_f1712766199l_bool(P,hAPP_P2083594489on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___012]) ).
fof(f_211_2,plain,
! [U_1093,U_1092,U_1091] : hAPP_P1116729363l_bool(hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,U_1093),U_1092),U_1091) = hAPP_f1712766199l_bool(U_1093,hAPP_P2083594489on_val(U_1092,U_1091)),
inference(variable_rename,[status(thm)],[f_211_1]) ).
cnf(f_211_3,plain,
hAPP_P1116729363l_bool(hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,U_1093),U_1092),U_1091) = hAPP_f1712766199l_bool(U_1093,hAPP_P2083594489on_val(U_1092,U_1091)),
inference(clausify,[status(thm)],[f_211_2]) ).
fof(f_212_1,plain,
! [P,Q,R] : hAPP_P1116729363l_bool(hAPP_f1342895119l_bool(hAPP_f639265145l_bool(cOMBB_364363975on_val,P),Q),R) = hAPP_f204771371l_bool(P,hAPP_P1870962205on_val(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___013]) ).
fof(f_212_2,plain,
! [U_1096,U_1095,U_1094] : hAPP_P1116729363l_bool(hAPP_f1342895119l_bool(hAPP_f639265145l_bool(cOMBB_364363975on_val,U_1096),U_1095),U_1094) = hAPP_f204771371l_bool(U_1096,hAPP_P1870962205on_val(U_1095,U_1094)),
inference(variable_rename,[status(thm)],[f_212_1]) ).
cnf(f_212_3,plain,
hAPP_P1116729363l_bool(hAPP_f1342895119l_bool(hAPP_f639265145l_bool(cOMBB_364363975on_val,U_1096),U_1095),U_1094) = hAPP_f204771371l_bool(U_1096,hAPP_P1870962205on_val(U_1095,U_1094)),
inference(clausify,[status(thm)],[f_212_2]) ).
fof(f_213_1,negated_conjecture,
~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
inference(negate,[status(cth)],[conj_0]) ).
fof(f_213_2,negated_conjecture,
~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
inference(definitional_conversion,[status(esa)],[f_213_1]) ).
cnf(f_213_3,negated_conjecture,
~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
inference(clausify,[status(thm)],[f_213_2]) ).
cnf(f_20_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_20_4]) ).
cnf(f_21_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_21_4]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( assigned(Eq_x_0,Eq_x_1) = assigned(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( widen_2090681816t_char(Eq_x_0,Eq_x_1,Eq_x_2) = widen_2090681816t_char(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( wf_pro755087577t_char(Eq_x_0,Eq_x_1) = wf_pro755087577t_char(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( wTrt(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = wTrt(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( hAPP_bool_bool(Eq_x_0,Eq_x_1) = hAPP_bool_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( hAPP_f1001225811y_bool(Eq_x_0,Eq_x_1) = hAPP_f1001225811y_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( hAPP_f1033709212l_bool(Eq_x_0,Eq_x_1) = hAPP_f1033709212l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( hAPP_f61040418l_bool(Eq_x_0,Eq_x_1) = hAPP_f61040418l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( hAPP_P1708370145l_bool(Eq_x_0,Eq_x_1) = hAPP_P1708370145l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( hAPP_P159683425l_bool(Eq_x_0,Eq_x_1) = hAPP_P159683425l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( hAPP_P282169671l_bool(Eq_x_0,Eq_x_1) = hAPP_P282169671l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( member840932460on_val(Eq_x_0,Eq_x_1) = member840932460on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( member763590124on_val(Eq_x_0,Eq_x_1) = member763590124on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( member773094996on_val(Eq_x_0,Eq_x_1) = member773094996on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( hAPP_l207779698on_val(Eq_x_0,Eq_x_1) = hAPP_l207779698on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( some_val(Eq_x_0) = some_val(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( hAPP_e1659493427on_val(Eq_x_0,Eq_x_1) = hAPP_e1659493427on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( hAPP_f1849790461on_val(Eq_x_0,Eq_x_1) = hAPP_f1849790461on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( fun_up1149430426on_val(Eq_x_0,Eq_x_1,Eq_x_2) = fun_up1149430426on_val(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( hAPP_f1727192346on_val(Eq_x_0,Eq_x_1) = hAPP_f1727192346on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( hAPP_P604205461on_val(Eq_x_0,Eq_x_1) = hAPP_P604205461on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( hAPP_P1870962205on_val(Eq_x_0,Eq_x_1) = hAPP_P1870962205on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( hAPP_P1886180715on_val(Eq_x_0,Eq_x_1) = hAPP_P1886180715on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( red(Eq_x_0) = red(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( hAPP_l512744617ion_ty(Eq_x_0,Eq_x_1) = hAPP_l512744617ion_ty(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( fun_up424764369ion_ty(Eq_x_0,Eq_x_1,Eq_x_2) = fun_up424764369ion_ty(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( some_ty(Eq_x_0) = some_ty(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( typeSa1234865140_sconf(Eq_x_0,Eq_x_1) = typeSa1234865140_sconf(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( hconf_97414254t_char(Eq_x_0) = hconf_97414254t_char(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( lconf_496643946t_char(Eq_x_0) = lconf_496643946t_char(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_34,axiom,
( hAPP_f1213370163y_bool(Eq_x_0,Eq_x_1) = hAPP_f1213370163y_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_35,axiom,
( hAPP_f2060496320y_bool(Eq_x_0,Eq_x_1) = hAPP_f2060496320y_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_36,axiom,
( hp(Eq_x_0) = hp(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_37,axiom,
( val_list_char(Eq_x_0) = val_list_char(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_38,axiom,
( lAss_list_char(Eq_x_0,Eq_x_1) = lAss_list_char(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_39,axiom,
( seq_list_char(Eq_x_0,Eq_x_1) = seq_list_char(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_40,axiom,
( block_list_char(Eq_x_0,Eq_x_1,Eq_x_2) = block_list_char(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_41,axiom,
( hAPP_f2121594859l_bool(Eq_x_0,Eq_x_1) = hAPP_f2121594859l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_42,axiom,
( hAPP_f1175813647l_bool(Eq_x_0,Eq_x_1) = hAPP_f1175813647l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_43,axiom,
( hAPP_f592397849l_bool(Eq_x_0,Eq_x_1) = hAPP_f592397849l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_44,axiom,
( hAPP_f1977633121l_bool(Eq_x_0,Eq_x_1) = hAPP_f1977633121l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_45,axiom,
( hAPP_f1452292669l_bool(Eq_x_0,Eq_x_1) = hAPP_f1452292669l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_46,axiom,
( hAPP_f1523875321l_bool(Eq_x_0,Eq_x_1) = hAPP_f1523875321l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_47,axiom,
( hAPP_f348318673l_bool(Eq_x_0,Eq_x_1) = hAPP_f348318673l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_48,axiom,
( hAPP_f857351829l_bool(Eq_x_0,Eq_x_1) = hAPP_f857351829l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_49,axiom,
( hAPP_f838396643l_bool(Eq_x_0,Eq_x_1) = hAPP_f838396643l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_50,axiom,
( hAPP_f550652027l_bool(Eq_x_0,Eq_x_1) = hAPP_f550652027l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_51,axiom,
( cOMBS_570216337l_bool(Eq_x_0,Eq_x_1) = cOMBS_570216337l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_52,axiom,
( hAPP_P1116729363l_bool(Eq_x_0,Eq_x_1) = hAPP_P1116729363l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_53,axiom,
( hAPP_f635218277l_bool(Eq_x_0,Eq_x_1) = hAPP_f635218277l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_54,axiom,
( hAPP_e1833980889l_bool(Eq_x_0,Eq_x_1) = hAPP_e1833980889l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_55,axiom,
( hAPP_f1930574389l_bool(Eq_x_0,Eq_x_1) = hAPP_f1930574389l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_56,axiom,
( hAPP_f1520199827on_val(Eq_x_0,Eq_x_1) = hAPP_f1520199827on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_57,axiom,
( hAPP_P789556885on_val(Eq_x_0,Eq_x_1) = hAPP_P789556885on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_58,axiom,
( hAPP_f1825030711l_bool(Eq_x_0,Eq_x_1) = hAPP_f1825030711l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_59,axiom,
( hAPP_f516738477l_bool(Eq_x_0,Eq_x_1) = hAPP_f516738477l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_60,axiom,
( hAPP_f653692369l_bool(Eq_x_0,Eq_x_1) = hAPP_f653692369l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_61,axiom,
( hAPP_f394183983on_val(Eq_x_0,Eq_x_1) = hAPP_f394183983on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_62,axiom,
( hAPP_P1760219823on_val(Eq_x_0,Eq_x_1) = hAPP_P1760219823on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_63,axiom,
( hAPP_f881985847l_bool(Eq_x_0,Eq_x_1) = hAPP_f881985847l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_64,axiom,
( hAPP_f1438732387l_bool(Eq_x_0,Eq_x_1) = hAPP_f1438732387l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_65,axiom,
( hAPP_f1241216909l_bool(Eq_x_0,Eq_x_1) = hAPP_f1241216909l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_66,axiom,
( hAPP_f1309113673on_val(Eq_x_0,Eq_x_1) = hAPP_f1309113673on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_67,axiom,
( hAPP_f1233687287l_bool(Eq_x_0,Eq_x_1) = hAPP_f1233687287l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_68,axiom,
( hAPP_f399538905l_bool(Eq_x_0,Eq_x_1) = hAPP_f399538905l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_69,axiom,
( hAPP_f850751421l_bool(Eq_x_0,Eq_x_1) = hAPP_f850751421l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_70,axiom,
( hAPP_f204556415on_val(Eq_x_0,Eq_x_1) = hAPP_f204556415on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_71,axiom,
( hAPP_P2024243179on_val(Eq_x_0,Eq_x_1) = hAPP_P2024243179on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_72,axiom,
( hAPP_f2052660463l_bool(Eq_x_0,Eq_x_1) = hAPP_f2052660463l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_73,axiom,
( hAPP_f1043869573l_bool(Eq_x_0,Eq_x_1) = hAPP_f1043869573l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_74,axiom,
( hAPP_f927043595l_bool(Eq_x_0,Eq_x_1) = hAPP_f927043595l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_75,axiom,
( hAPP_b589554111l_bool(Eq_x_0,Eq_x_1) = hAPP_b589554111l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_76,axiom,
( hAPP_f1308714617l_bool(Eq_x_0,Eq_x_1) = hAPP_f1308714617l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_77,axiom,
( hAPP_f917296015l_bool(Eq_x_0,Eq_x_1) = hAPP_f917296015l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_78,axiom,
( hAPP_f546724245l_bool(Eq_x_0,Eq_x_1) = hAPP_f546724245l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_79,axiom,
( hAPP_f1560238713l_bool(Eq_x_0,Eq_x_1) = hAPP_f1560238713l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_80,axiom,
( hAPP_f2032347769l_bool(Eq_x_0,Eq_x_1) = hAPP_f2032347769l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_81,axiom,
( hAPP_f641257349l_bool(Eq_x_0,Eq_x_1) = hAPP_f641257349l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_82,axiom,
( hAPP_f1863694447l_bool(Eq_x_0,Eq_x_1) = hAPP_f1863694447l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_83,axiom,
( hAPP_f1734879897l_bool(Eq_x_0,Eq_x_1) = hAPP_f1734879897l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_84,axiom,
( hAPP_f555424277l_bool(Eq_x_0,Eq_x_1) = hAPP_f555424277l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_85,axiom,
( hAPP_f2057883639l_bool(Eq_x_0,Eq_x_1) = hAPP_f2057883639l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_86,axiom,
( hAPP_f1050935001l_bool(Eq_x_0,Eq_x_1) = hAPP_f1050935001l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_87,axiom,
( hAPP_f1363667773l_bool(Eq_x_0,Eq_x_1) = hAPP_f1363667773l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_88,axiom,
( hAPP_f365540729l_bool(Eq_x_0,Eq_x_1) = hAPP_f365540729l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_89,axiom,
( hAPP_f639265145l_bool(Eq_x_0,Eq_x_1) = hAPP_f639265145l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_90,axiom,
( hAPP_f1342895119l_bool(Eq_x_0,Eq_x_1) = hAPP_f1342895119l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_91,axiom,
( hAPP_f10074679l_bool(Eq_x_0,Eq_x_1) = hAPP_f10074679l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_92,axiom,
( hAPP_f1725502637l_bool(Eq_x_0,Eq_x_1) = hAPP_f1725502637l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_93,axiom,
( hAPP_f439412817l_bool(Eq_x_0,Eq_x_1) = hAPP_f439412817l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_94,axiom,
( hAPP_P1134042693l_bool(Eq_x_0,Eq_x_1) = hAPP_P1134042693l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_95,axiom,
( hAPP_P595502227l_bool(Eq_x_0,Eq_x_1) = hAPP_P595502227l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_96,axiom,
( hAPP_f444383845l_bool(Eq_x_0,Eq_x_1) = hAPP_f444383845l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_97,axiom,
( hAPP_P1826803705l_bool(Eq_x_0,Eq_x_1) = hAPP_P1826803705l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_98,axiom,
( hAPP_P1953518277l_bool(Eq_x_0,Eq_x_1) = hAPP_P1953518277l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_99,axiom,
( hAPP_f1591648613l_bool(Eq_x_0,Eq_x_1) = hAPP_f1591648613l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_100,axiom,
( hAPP_P678729081l_bool(Eq_x_0,Eq_x_1) = hAPP_P678729081l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_101,axiom,
( hAPP_e500528395l_bool(Eq_x_0,Eq_x_1) = hAPP_e500528395l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_102,axiom,
( hAPP_P1988153107l_bool(Eq_x_0,Eq_x_1) = hAPP_P1988153107l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_103,axiom,
( hAPP_f468299289l_bool(Eq_x_0,Eq_x_1) = hAPP_f468299289l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_104,axiom,
( hAPP_e592495499l_bool(Eq_x_0,Eq_x_1) = hAPP_e592495499l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_105,axiom,
( hAPP_P1638898323l_bool(Eq_x_0,Eq_x_1) = hAPP_P1638898323l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_106,axiom,
( hAPP_f1760682521l_bool(Eq_x_0,Eq_x_1) = hAPP_f1760682521l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_107,axiom,
( hAPP_f2135509569l_bool(Eq_x_0,Eq_x_1) = hAPP_f2135509569l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_108,axiom,
( hAPP_f396019662l_bool(Eq_x_0,Eq_x_1) = hAPP_f396019662l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_109,axiom,
( hAPP_f1276548047l_bool(Eq_x_0,Eq_x_1) = hAPP_f1276548047l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_110,axiom,
( hAPP_f2144092865l_bool(Eq_x_0,Eq_x_1) = hAPP_f2144092865l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_111,axiom,
( hAPP_f2011777102l_bool(Eq_x_0,Eq_x_1) = hAPP_f2011777102l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_112,axiom,
( hAPP_f833559503l_bool(Eq_x_0,Eq_x_1) = hAPP_f833559503l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_113,axiom,
( redp(Eq_x_0,Eq_x_1,Eq_x_2) = redp(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_114,axiom,
( cOMBK_1097134891t_char(Eq_x_0) = cOMBK_1097134891t_char(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_115,axiom,
( cOMBK_1294242658t_char(Eq_x_0) = cOMBK_1294242658t_char(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_116,axiom,
( hAPP_f1074020887l_bool(Eq_x_0,Eq_x_1) = hAPP_f1074020887l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_117,axiom,
( hAPP_f181262431l_bool(Eq_x_0,Eq_x_1) = hAPP_f181262431l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_118,axiom,
( hAPP_f603925568l_bool(Eq_x_0,Eq_x_1) = hAPP_f603925568l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_119,axiom,
( hAPP_f1145256474l_bool(Eq_x_0,Eq_x_1) = hAPP_f1145256474l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_120,axiom,
( hAPP_f2134824737l_bool(Eq_x_0,Eq_x_1) = hAPP_f2134824737l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_121,axiom,
( hAPP_f926562337l_bool(Eq_x_0,Eq_x_1) = hAPP_f926562337l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_122,axiom,
( hAPP_f1617787571l_bool(Eq_x_0,Eq_x_1) = hAPP_f1617787571l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_123,axiom,
( hAPP_f1008932791l_bool(Eq_x_0,Eq_x_1) = hAPP_f1008932791l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_124,axiom,
( hAPP_f1492320500l_bool(Eq_x_0,Eq_x_1) = hAPP_f1492320500l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_125,axiom,
( hAPP_f318082871l_bool(Eq_x_0,Eq_x_1) = hAPP_f318082871l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_126,axiom,
( hAPP_f1926378906on_val(Eq_x_0,Eq_x_1) = hAPP_f1926378906on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_127,axiom,
( hAPP_f1301559543l_bool(Eq_x_0,Eq_x_1) = hAPP_f1301559543l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_128,axiom,
( hAPP_P1776198677on_val(Eq_x_0,Eq_x_1) = hAPP_P1776198677on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_129,axiom,
( hAPP_f489055607l_bool(Eq_x_0,Eq_x_1) = hAPP_f489055607l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_130,axiom,
( hAPP_f1712766199l_bool(Eq_x_0,Eq_x_1) = hAPP_f1712766199l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_131,axiom,
( hAPP_f1840640125on_val(Eq_x_0,Eq_x_1) = hAPP_f1840640125on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_132,axiom,
( hAPP_f524589473l_bool(Eq_x_0,Eq_x_1) = hAPP_f524589473l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_133,axiom,
( hAPP_f602593190on_val(Eq_x_0,Eq_x_1) = hAPP_f602593190on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_134,axiom,
( hAPP_e108155315on_val(Eq_x_0,Eq_x_1) = hAPP_e108155315on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_135,axiom,
( hAPP_f204771371l_bool(Eq_x_0,Eq_x_1) = hAPP_f204771371l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_136,axiom,
( hAPP_f600512025on_val(Eq_x_0,Eq_x_1) = hAPP_f600512025on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_137,axiom,
( hAPP_P2083594489on_val(Eq_x_0,Eq_x_1) = hAPP_P2083594489on_val(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_138,axiom,
( sK1(Eq_x_0,Eq_x_1) = sK1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_139,axiom,
( sK2(Eq_x_0,Eq_x_1) = sK2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_140,axiom,
( sK3(Eq_x_0,Eq_x_1) = sK3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_141,axiom,
( sK4(Eq_x_0,Eq_x_1) = sK4(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_142,axiom,
( sK5(Eq_x_0,Eq_x_1) = sK5(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_143,axiom,
( sK6(Eq_x_0) = sK6(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_144,axiom,
( sK7(Eq_x_0) = sK7(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_145,axiom,
( sK8(Eq_x_0) = sK8(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_146,axiom,
( sK9(Eq_x_0) = sK9(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_147,axiom,
( sK10(Eq_x_0) = sK10(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_148,axiom,
( sK11(Eq_x_0) = sK11(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_149,axiom,
( sK12(Eq_x_0) = sK12(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_150,axiom,
( sK13(Eq_x_0) = sK13(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_151,axiom,
( sK14(Eq_x_0) = sK14(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_152,axiom,
( sK15(Eq_x_0) = sK15(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_153,axiom,
( sK16(Eq_x_0) = sK16(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_154,axiom,
( sK17(Eq_x_0) = sK17(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_155,axiom,
( sK18(Eq_x_0) = sK18(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_156,axiom,
( sK19(Eq_x_0) = sK19(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_157,axiom,
( sK20(Eq_x_0) = sK20(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_158,axiom,
( sK21(Eq_x_0) = sK21(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_159,axiom,
( sK22(Eq_x_0) = sK22(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_160,axiom,
( sK23(Eq_x_0) = sK23(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_161,axiom,
( sK24(Eq_x_0) = sK24(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_162,axiom,
( sK25(Eq_x_0,Eq_x_1) = sK25(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_163,axiom,
( sK26(Eq_x_0,Eq_x_1) = sK26(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_164,axiom,
( sK27(Eq_x_0,Eq_x_1) = sK27(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_165,axiom,
( sK28(Eq_x_0,Eq_x_1) = sK28(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_166,axiom,
( sK29(Eq_x_0,Eq_x_1) = sK29(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_167,axiom,
( sK30(Eq_x_0,Eq_x_1) = sK30(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_168,axiom,
( sK31(Eq_x_0,Eq_x_1) = sK31(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_169,axiom,
( sK32(Eq_x_0,Eq_x_1) = sK32(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_170,axiom,
( sK33(Eq_x_0,Eq_x_1) = sK33(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_171,axiom,
( sK34(Eq_x_0,Eq_x_1) = sK34(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_172,axiom,
( sK35(Eq_x_0,Eq_x_1) = sK35(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_173,axiom,
( sK36(Eq_x_0,Eq_x_1) = sK36(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_174,axiom,
( sK37(Eq_x_0,Eq_x_1) = sK37(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_175,axiom,
( sK38(Eq_x_0,Eq_x_1) = sK38(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_176,axiom,
( sK39(Eq_x_0,Eq_x_1) = sK39(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_177,axiom,
( sK40(Eq_x_0,Eq_x_1) = sK40(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_178,axiom,
( sK41(Eq_x_0,Eq_x_1) = sK41(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_179,axiom,
( sK42(Eq_x_0,Eq_x_1) = sK42(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_180,axiom,
( sK43(Eq_x_0) = sK43(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_181,axiom,
( sK44(Eq_x_0) = sK44(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_182,axiom,
( sK45(Eq_x_0) = sK45(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_183,axiom,
( sK46(Eq_x_0) = sK46(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_184,axiom,
( sK47(Eq_x_0) = sK47(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_185,axiom,
( sK48(Eq_x_0) = sK48(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_186,axiom,
( sK49(Eq_x_0) = sK49(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_187,axiom,
( sK50(Eq_x_0) = sK50(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_188,axiom,
( sK51(Eq_x_0) = sK51(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_189,axiom,
( sK52(Eq_x_0) = sK52(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_190,axiom,
( sK53(Eq_x_0) = sK53(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_191,axiom,
( sK54(Eq_x_0) = sK54(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_192,axiom,
( sK55(Eq_x_0) = sK55(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_193,axiom,
( sK56(Eq_x_0) = sK56(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_194,axiom,
( sK57(Eq_x_0) = sK57(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_195,axiom,
( sK58(Eq_x_0) = sK58(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_196,axiom,
( sK59(Eq_x_0) = sK59(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_197,axiom,
( sK60(Eq_x_0) = sK60(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_198,axiom,
( sK61(Eq_x_0) = sK61(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_199,axiom,
( sK62(Eq_x_0) = sK62(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_200,axiom,
( sK63(Eq_x_0) = sK63(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_201,axiom,
( sK64(Eq_x_0,Eq_x_1) = sK64(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_202,axiom,
( sK65(Eq_x_0,Eq_x_1) = sK65(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_203,axiom,
( sK66(Eq_x_0,Eq_x_1) = sK66(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_204,axiom,
( sK67(Eq_x_0,Eq_x_1) = sK67(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_205,axiom,
( sK68(Eq_x_0,Eq_x_1) = sK68(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_206,axiom,
( sK69(Eq_x_0,Eq_x_1) = sK69(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_207,axiom,
( sK70(Eq_x_0,Eq_x_1) = sK70(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_208,axiom,
( sK71(Eq_x_0,Eq_x_1) = sK71(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_209,axiom,
( sK72(Eq_x_0,Eq_x_1) = sK72(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_210,axiom,
( sK73(Eq_x_0,Eq_x_1) = sK73(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_211,axiom,
( sK74(Eq_x_0,Eq_x_1) = sK74(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_212,axiom,
( sK75(Eq_x_0,Eq_x_1) = sK75(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_213,axiom,
( sK76(Eq_x_0,Eq_x_1,Eq_x_2) = sK76(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_214,axiom,
( sK77(Eq_x_0,Eq_x_1,Eq_x_2) = sK77(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_215,axiom,
( sK78(Eq_x_0,Eq_x_1,Eq_x_2) = sK78(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_216,axiom,
( sK79(Eq_x_0,Eq_x_1,Eq_x_2) = sK79(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_217,axiom,
( sK80(Eq_x_0,Eq_x_1,Eq_x_2) = sK80(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_218,axiom,
( sK81(Eq_x_0,Eq_x_1,Eq_x_2) = sK81(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_219,axiom,
( sK82(Eq_x_0,Eq_x_1,Eq_x_2) = sK82(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_220,axiom,
( sK83(Eq_x_0,Eq_x_1,Eq_x_2) = sK83(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_221,axiom,
( sK84(Eq_x_0,Eq_x_1,Eq_x_2) = sK84(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_222,axiom,
( sK85(Eq_x_0,Eq_x_1,Eq_x_2) = sK85(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_223,axiom,
( sK86(Eq_x_0,Eq_x_1,Eq_x_2) = sK86(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_224,axiom,
( sK87(Eq_x_0,Eq_x_1,Eq_x_2) = sK87(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_225,axiom,
( sK88(Eq_x_0,Eq_x_1,Eq_x_2) = sK88(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_226,axiom,
( sK89(Eq_x_0,Eq_x_1,Eq_x_2) = sK89(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_227,axiom,
( sK90(Eq_x_0,Eq_x_1,Eq_x_2) = sK90(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_228,axiom,
( sK91(Eq_x_0,Eq_x_1,Eq_x_2) = sK91(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_229,axiom,
( sK92(Eq_x_0,Eq_x_1,Eq_x_2) = sK92(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_230,axiom,
( sK93(Eq_x_0,Eq_x_1,Eq_x_2) = sK93(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_231,axiom,
( sK94(Eq_x_0,Eq_x_1,Eq_x_2) = sK94(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_232,axiom,
( sK95(Eq_x_0,Eq_x_1,Eq_x_2) = sK95(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_233,axiom,
( sK96(Eq_x_0,Eq_x_1,Eq_x_2) = sK96(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_234,axiom,
( sK97(Eq_x_0,Eq_x_1,Eq_x_2) = sK97(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_235,axiom,
( sK98(Eq_x_0,Eq_x_1,Eq_x_2) = sK98(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_236,axiom,
( sK99(Eq_x_0,Eq_x_1,Eq_x_2) = sK99(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_237,axiom,
( sK100(Eq_x_0,Eq_x_1) = sK100(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_238,axiom,
( sK101(Eq_x_0,Eq_x_1) = sK101(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_239,axiom,
( sK102(Eq_x_0,Eq_x_1) = sK102(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_240,axiom,
( sK103(Eq_x_0,Eq_x_1) = sK103(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_241,axiom,
( sK104(Eq_x_0,Eq_x_1) = sK104(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_242,axiom,
( sK105(Eq_x_0,Eq_x_1) = sK105(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_243,axiom,
( sK106(Eq_x_0,Eq_x_1) = sK106(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_244,axiom,
( sK107(Eq_x_0,Eq_x_1) = sK107(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_245,axiom,
( sK108(Eq_x_0,Eq_x_1) = sK108(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_246,axiom,
( sK109(Eq_x_0,Eq_x_1) = sK109(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_247,axiom,
( sK110(Eq_x_0,Eq_x_1) = sK110(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_248,axiom,
( sK111(Eq_x_0,Eq_x_1) = sK111(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_249,axiom,
( sK112(Eq_x_0,Eq_x_1,Eq_x_2) = sK112(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_250,axiom,
( sK113(Eq_x_0,Eq_x_1,Eq_x_2) = sK113(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_251,axiom,
( sK114(Eq_x_0,Eq_x_1,Eq_x_2) = sK114(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_252,axiom,
( sK115(Eq_x_0,Eq_x_1,Eq_x_2) = sK115(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_253,axiom,
( sK116(Eq_x_0,Eq_x_1,Eq_x_2) = sK116(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_254,axiom,
( sK117(Eq_x_0,Eq_x_1,Eq_x_2) = sK117(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_255,axiom,
( sK118(Eq_x_0,Eq_x_1,Eq_x_2) = sK118(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_256,axiom,
( sK119(Eq_x_0,Eq_x_1,Eq_x_2) = sK119(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_257,axiom,
( is_bool(Eq_y_0)
| ~ is_bool(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_258,axiom,
( hBOOL(Eq_y_0)
| ~ hBOOL(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW478+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 05:44:40 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.55/0.80 % SZS status Theorem for theBenchmark
% 0.55/0.80 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------