TPTP Problem File: SWW896+1.p
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%------------------------------------------------------------------------------
% File : SWW896+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : exh_reorderProof__52__const_cons_fst_sub_bag__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : exh_reorderProof__52__const_cons_fst_sub_bag__dep [Kum18]
% Status : CounterSatisfiable
% Rating : 0.00 v8.1.0, 0.25 v7.5.0, 0.60 v7.4.0, 0.00 v7.3.0
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 38 ( 26 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 21 ( 3 ~; 1 |; 6 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 16 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 25 ( 25 usr; 8 con; 0-3 aty)
% Number of variables : 65 ( 61 !; 4 ?)
% SPC : FOF_CSA_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
fof('HL_TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('HL_FALSITY',axiom,
~ p__01(s__02(cbool__00,cF__00)) ).
fof('HL_BOOL_CASES',axiom,
! [Vt] :
( s__02(cbool__00,Vt) = s__02(cbool__00,cT__00)
| s__02(cbool__00,Vt) = s__02(cbool__00,cF__00) ) ).
fof('HL_EXT',axiom,
! [V_3f2384,V_3f2380,Vf,Vg] :
( ! [Vx] : s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vf),s__02(V_3f2384,Vx))) = s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vg),s__02(V_3f2384,Vx)))
=> s__02(cfun__02(V_3f2384,V_3f2380),Vf) = s__02(cfun__02(V_3f2384,V_3f2380),Vg) ) ).
fof('thm.bool.TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('thm.bool.LET_THM',axiom,
! [V_27B_27,V_27A_27,V_27f_27,V_27x_27] : s__02(V_27B_27,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27x_27))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27x_27))) ).
fof('thm.bool.REFL_CLAUSE',axiom,
! [V_27A_27,V_27x_27] :
( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27x_27)
<=> p__01(s__02(cbool__00,cT__00)) ) ).
fof('thm.bool.EQ_SYM_EQ',axiom,
! [V_27A_27,V_27x_27,V_27y_27] :
( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27y_27)
<=> s__02(V_27A_27,V_27y_27) = s__02(V_27A_27,V_27x_27) ) ).
fof('thm.bool.EQ_CLAUSES',axiom,
! [V_27t_27] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,V_27t_27)
<=> p__01(s__02(cbool__00,V_27t_27)) )
& ( s__02(cbool__00,V_27t_27) = s__02(cbool__00,cT__00)
<=> p__01(s__02(cbool__00,V_27t_27)) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,V_27t_27)
<=> ~ p__01(s__02(cbool__00,V_27t_27)) )
& ( s__02(cbool__00,V_27t_27) = s__02(cbool__00,cF__00)
<=> ~ p__01(s__02(cbool__00,V_27t_27)) ) ) ).
fof('thm.bool.EXISTS_REFL',axiom,
! [V_27A_27,V_27a_27] :
? [V_27x_27] : s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27a_27) ).
fof('thm.combin.I_THM',axiom,
! [V_27A_27,V_27x_27] : s__02(V_27A_27,c_27const_2ecombin_2eI_27__01(s__02(V_27A_27,V_27x_27))) = s__02(V_27A_27,V_27x_27) ).
fof('thm.pair.UNCURRY_DEF',axiom,
! [V_27C_27,V_27A_27,V_27B_27,V_27f_27,V_27x_27,V_27y_27] : s__02(V_27C_27,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27C_27),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27))),s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27x_27),s__02(V_27B_27,V_27y_27))))) = s__02(V_27C_27,chapp__02(s__02(cfun__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27),s__02(V_27A_27,V_27x_27))),s__02(V_27B_27,V_27y_27))) ).
fof('thm.pair.EXISTS_PROD',axiom,
! [V_27A_27,V_27B_27,V_27P_27] :
( ? [V_27p_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),cbool__00),V_27P_27),s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27p_27))))
<=> ? [V_27p__1_27,V_27p__2_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),cbool__00),V_27P_27),s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27p__1_27),s__02(V_27B_27,V_27p__2_27)))))) ) ).
fof('thm.list.APPEND',axiom,
! [V_27A_27] :
( ! [V_27l_27] : s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27))) = s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27)
& ! [V_27l1_27,V_27l2_27,V_27h_27] : s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l1_27))),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l2_27))) = s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l1_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l2_27))))) ) ).
fof('thm.list.MAP',axiom,
! [V_27B_27,V_27A_27] :
( ! [V_27f_27] : s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eNIL_27__00)
& ! [V_27f_27,V_27h_27,V_27t_27] : s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27))))) = s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eCONS_27__02(s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27h_27))),s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27))))) ) ).
fof('thm.list.MAP_APPEND',axiom,
! [V_27B_27,V_27A_27,V_27f_27,V_27l1_27,V_27l2_27] : s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l1_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l2_27))))) = s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l1_27))),s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l2_27))))) ).
fof('thm.list.REVERSE_DEF',axiom,
! [V_27A_27] :
( s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eREVERSE_27__01(s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00)
& ! [V_27h_27,V_27t_27] : s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eREVERSE_27__01(s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27))))) = s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eREVERSE_27__01(s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27))),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))))) ) ).
fof('thm.exh_reorder.const_cons_fst_def',axiom,
! [V_27A_27,V__1] :
( ! [V_27const__cons_27,V_27a_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)))),V__1),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),V_27const__cons_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),V_27a_27))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),V_27const__cons_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27const_2elist_2eREVERSE_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),V_27a_27)))))
=> ! [V__0] :
( ! [V_27const__cons_27] : s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)))),V__0),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),V_27const__cons_27))) = s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)))),V__1),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),V_27const__cons_27)))
=> ! [V_27pes_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27const_2eexh__reorder_2econst__cons__fst_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),V_27pes_27))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27))),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27))),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)))),V__0))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27))),c_27const_2eexh__reorder_2econst__cons__sep_27__03(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),V_27pes_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27const_2elist_2eNIL_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,V_27A_27)),c_27const_2elist_2eNIL_27__00))))) ) ) ).
fof('thm.exh_reorderProof.const_cons_sep_sub_bag',axiom,
! [V_27pes_27,V_27a_27,V_27const__cons_27,V_27c_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00))),c_27const_2eexh__reorder_2econst__cons__sep_27__03(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27pes_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27a_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27const__cons_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27a_7c39_7c_27)))
=> p__01(s__02(cbool__00,c_27const_2ebag_2eSUB__BAG_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27const_2eexhProps_2eelist__globals_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eexhLang_2eexp_27__00),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00),c_27type_2eexhLang_2eexp_27__00),c_27const_2epair_2eSND_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),c_27const_2elist_2eREVERSE_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27a_7c39_7c_27))))))))),s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27const_2eexhProps_2eelist__globals_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eexhLang_2eexp_27__00),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00),c_27type_2eexhLang_2eexp_27__00),c_27const_2epair_2eSND_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27const__cons_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),c_27const_2elist_2eREVERSE_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27a_27))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27pes_27)))))))))) ) ).
fof(conjecture,conjecture,
! [V_27pes_27] : p__01(s__02(cbool__00,c_27const_2ebag_2eSUB__BAG_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27const_2eexhProps_2eelist__globals_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eexhLang_2eexp_27__00),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00),c_27type_2eexhLang_2eexp_27__00),c_27const_2epair_2eSND_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),c_27const_2eexh__reorder_2econst__cons__fst_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27pes_27))))))),s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27const_2eexhProps_2eelist__globals_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eexhLang_2eexp_27__00),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00),c_27type_2eexhLang_2eexp_27__00),c_27const_2epair_2eSND_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2eexhLang_2epat_27__00,c_27type_2eexhLang_2eexp_27__00)),V_27pes_27)))))))) ).
%------------------------------------------------------------------------------