TSTP Solution File: SWW473+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW473+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:40:41 EDT 2024
% Result : Theorem 15.67s 15.86s
% Output : Proof 15.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW473+1 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Mar 21 01:43:27 EDT 2024
% 0.12/0.34 % CPUTime :
% 15.67/15.86 % SZS status Theorem for theBenchmark
% 15.67/15.86 % SZS output start Proof for theBenchmark
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a-1, axiom, ( ~is_fun_a_bool(_u0) | is_fun_a_bool(cOMBB_bool_bool_a(_u1, _u0)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname-1, axiom, ( ~is_fun_pname_bool(_u2) | is_fun_pname_bool(cOMBB_647938656_pname(_u3, _u2)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool-1, axiom, ( ~is_fun949378684l_bool(_u4) | is_fun949378684l_bool(cOMBB_2140588453a_bool(_u5, _u4)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_ ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_-1, axiom, ( ~is_fun1661590463l_bool(_u6) | is_fun1661590463l_bool(cOMBB_307249310e_bool(_u7, _u6)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool-1, axiom, ( ~is_fun_a_bool(_u8) | is_fun_a_bool(cOMBS_a_bool_bool(_u9, _u8)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool-1, axiom, ( ~is_fun_pname_bool(_u10) | is_fun_pname_bool(cOMBS_568398431l_bool(_u11, _u10)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc__HOL__Obo ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc__HOL__Obo-1, axiom, ( ~is_fun949378684l_bool(_u12) | is_fun949378684l_bool(cOMBS_1035972772l_bool(_u13, _u12)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t-1, axiom, ( ~is_fun1661590463l_bool(_u14) | is_fun1661590463l_bool(cOMBS_350070575l_bool(_u15, _u14)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_Finite__Set_Ofinite_000t__a ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_Finite__Set_Ofinite_000t__a-1, axiom, ( is_fun949378684l_bool(finite_finite_a) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_Finite__Set_Ofinite_000tc__Com__Opname ( hypothesis ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_Finite__Set_Ofinite_000tc__Com__Opname-1, hypothesis, ( is_fun1661590463l_bool(finite_finite_pname) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_HOL_Oundefined_000t__a ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_HOL_Oundefined_000t__a-1, axiom, ( is_a(undefined_a(x_a)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_HOL_Oundefined_000tc__Com__Opname ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_HOL_Oundefined_000tc__Com__Opname-1, axiom, ( is_pname(undefined_pname(pname)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_HOL_Oundefined_000tc__fun_It__a_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_HOL_Oundefined_000tc__fun_It__a_Mtc__HOL__Obool_J-1, axiom, ( is_fun_a_bool(undefined_fun_a_bool(fun(x_a, bool))) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J-1, axiom, ( is_fun_pname_bool(undefi17486888e_bool(fun(pname, bool))) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool-1, axiom, ( is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a, bool), bool))) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_ ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_-1, axiom, ( is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname, bool), bool))) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_Set_OCollect_000t__a ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_Set_OCollect_000t__a-1, axiom, ( ~is_fun_a_bool(_u16) | is_fun_a_bool(collect_a(_u16)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_Set_OCollect_000tc__Com__Opname ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_Set_OCollect_000tc__Com__Opname-1, axiom, ( ~is_fun_pname_bool(_u17) | is_fun_pname_bool(collect_pname(_u17)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_Set_OCollect_000tc__fun_It__a_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_Set_OCollect_000tc__fun_It__a_Mtc__HOL__Obool_J-1, axiom, ( ~is_fun949378684l_bool(_u18) | is_fun949378684l_bool(collect_fun_a_bool(_u18)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.86 cnf(gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J-1, axiom, ( ~is_fun1661590463l_bool(_u19) | is_fun1661590463l_bool(collec1974731493e_bool(_u19)) )).
% 15.67/15.86
% 15.67/15.86 % Formula: gsy_c_Set_Oimage_000t__a_000t__a ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000t__a_000t__a-1, axiom, ( ~is_fun_a_bool(_u20) | is_fun_a_bool(image_a_a(_u21, _u20)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000t__a_000tc__Com__Opname ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000t__a_000tc__Com__Opname-1, axiom, ( ~is_fun_a_bool(_u22) | is_fun_pname_bool(image_a_pname(_u23, _u22)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__Com__Opname_000t__a ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__Com__Opname_000t__a-1, hypothesis, ( ~is_fun_pname_bool(_u24) | is_fun_a_bool(image_pname_a(_u25, _u24)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname-1, axiom, ( ~is_fun_pname_bool(_u26) | is_fun_pname_bool(image_pname_pname(_u27, _u26)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J-1, axiom, ( ~is_fun_pname_bool(_u28) | is_fun949378684l_bool(image_112932426a_bool(_u29, _u28)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_-1, axiom, ( ~is_fun_pname_bool(_u30) | is_fun1661590463l_bool(image_47868345e_bool(_u31, _u30)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__Nat__Onat_000t__a ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__Nat__Onat_000t__a-1, axiom, ( is_fun_a_bool(image_nat_a(_u33, _u32)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__Com__Opname ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__Com__Opname-1, axiom, ( is_fun_pname_bool(image_nat_pname(_u35, _u34)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J-1, axiom, ( is_fun949378684l_bool(image_nat_fun_a_bool(_u37, _u36)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J-1, axiom, ( is_fun1661590463l_bool(image_1655916159e_bool(_u39, _u38)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a-1, axiom, ( ~is_fun949378684l_bool(_u40) | is_fun_a_bool(image_fun_a_bool_a(_u41, _u40)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname-1, axiom, ( ~is_fun949378684l_bool(_u42) | is_fun_pname_bool(image_1854862208_pname(_u43, _u42)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000t__a ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000t__a-1, axiom, ( ~is_fun1661590463l_bool(_u44) | is_fun_a_bool(image_876012084bool_a(_u45, _u44)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam-1, axiom, ( ~is_fun1661590463l_bool(_u46) | is_fun_pname_bool(image_1283814551_pname(_u47, _u46)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000t__a ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000t__a-1, axiom, ( is_fun_a_bool(image_fun_nat_bool_a(_u49, _u48)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname-1, axiom, ( is_fun_pname_bool(image_1921560913_pname(_u51, _u50)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_0 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_0-1, axiom, ( is_fun_a_bool(image_573985017bool_a(_u53, _u52)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_0_001 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_0_001-1, axiom, ( is_fun_pname_bool(image_990671762_pname(_u55, _u54)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL-1, axiom, ( is_fun_a_bool(image_349102846bool_a(_u57, _u56)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL_002 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL_002-1, axiom, ( is_fun_pname_bool(image_1705983821_pname(_u59, _u58)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__-1, axiom, ( is_fun_a_bool(image_526090948bool_a(_u61, _u60)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL___003 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL___003-1, axiom, ( is_fun_pname_bool(image_1604018183_pname(_u63, _u62)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oinsert_000t__a ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oinsert_000t__a-1, hypothesis, ( ~is_a(_u65) | ~is_fun_a_bool(_u64) | is_fun_a_bool(insert_a(_u65, _u64)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oinsert_000tc__Com__Opname ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oinsert_000tc__Com__Opname-1, axiom, ( ~is_pname(_u67) | ~is_fun_pname_bool(_u66) | is_fun_pname_bool(insert_pname(_u67, _u66)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oinsert_000tc__fun_It__a_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oinsert_000tc__fun_It__a_Mtc__HOL__Obool_J-1, axiom, ( ~is_fun_a_bool(_u69) | ~is_fun949378684l_bool(_u68) | is_fun949378684l_bool(insert_fun_a_bool(_u69, _u68)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J-1, axiom, ( ~is_fun_pname_bool(_u71) | ~is_fun1661590463l_bool(_u70) | is_fun1661590463l_bool(insert1325755072e_bool(_u71, _u70)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000t__a_000tc__HOL__Obool ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000t__a_000tc__HOL__Obool-1, axiom, ( ~is_fun_a_bool(_u73) | ~is_a(_u72) | is_bool(hAPP_a_bool(_u73, _u72)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J-1, axiom, ( ~is_a(_u74) | is_fun_a_bool(hAPP_a_fun_a_bool(_u75, _u74)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J-1, axiom, ( ~is_a(_u76) | is_fun_pname_bool(hAPP_a93125764e_bool(_u77, _u76)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J-1, hypothesis, ( ~is_a(_u78) | is_fun949378684l_bool(hAPP_a85458249l_bool(_u79, _u78)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__Com__Opname_000t__a ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__Com__Opname_000t__a-1, hypothesis, ( ~is_pname(_u80) | is_a(hAPP_pname_a(_u81, _u80)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool-1, axiom, ( ~is_fun_pname_bool(_u83) | ~is_pname(_u82) | is_bool(hAPP_pname_bool(_u83, _u82)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J-1, axiom, ( ~is_pname(_u84) | is_fun_a_bool(hAPP_p1534023578a_bool(_u85, _u84)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J-1, axiom, ( ~is_pname(_u86) | is_fun_pname_bool(hAPP_p61793385e_bool(_u87, _u86)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo-1, hypothesis, ( ~is_pname(_u88) | is_fun1661590463l_bool(hAPP_p338031245l_bool(_u89, _u88)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool-1, axiom, ( ~is_bool(_u90) | is_bool(hAPP_bool_bool(_u91, _u90)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool-1, hypothesis, ( is_bool(hAPP_nat_bool(_u93, _u92)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J-1, axiom, ( is_fun_a_bool(hAPP_nat_fun_a_bool(_u95, _u94)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J-1, axiom, ( is_fun_pname_bool(hAPP_n1025906991e_bool(_u97, _u96)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool-1, hypothesis, ( ~is_fun949378684l_bool(_u99) | ~is_fun_a_bool(_u98) | is_bool(hAPP_fun_a_bool_bool(_u99, _u98)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL__Obool_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL__Obool_J-1, axiom, ( ~is_fun_a_bool(_u100) | is_fun_a_bool(hAPP_f2050579477a_bool(_u101, _u100)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__a_Mtc__HOL ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__a_Mtc__HOL-1, hypothesis, ( ~is_fun_a_bool(_u102) | is_fun949378684l_bool(hAPP_f1631501043l_bool(_u103, _u102)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool-1, hypothesis, ( ~is_fun1661590463l_bool(_u105) | ~is_fun_pname_bool(_u104) | is_bool(hAPP_f1664156314l_bool(_u105, _u104)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op-1, axiom, ( ~is_fun_pname_bool(_u106) | is_fun_pname_bool(hAPP_f759274231e_bool(_u107, _u106)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc-1, axiom, ( ~is_fun_pname_bool(_u108) | is_fun1661590463l_bool(hAPP_f434788991l_bool(_u109, _u108)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool-1, axiom, ( is_bool(hAPP_f54304608l_bool(_u111, _u110)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc__ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc__-1, axiom, ( ~is_fun949378684l_bool(_u112) | is_bool(hAPP_f621171935l_bool(_u113, _u112)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc___004 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc___004-1, axiom, ( ~is_fun949378684l_bool(_u114) | is_fun949378684l_bool(hAPP_f2117159681l_bool(_u115, _u114)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo-1, axiom, ( ~is_fun1661590463l_bool(_u116) | is_bool(hAPP_f1935102916l_bool(_u117, _u116)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_005 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_005-1, axiom, ( ~is_fun1661590463l_bool(_u118) | is_fun1661590463l_bool(hAPP_f559147733l_bool(_u119, _u118)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_-1, axiom, ( is_bool(hAPP_f1637334154l_bool(_u121, _u120)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_-1, axiom, ( is_bool(hAPP_f292226953l_bool(_u123, _u122)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__-1, axiom, ( is_bool(hAPP_f389811538l_bool(_u125, _u124)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HO ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HO-1, axiom, ( is_bool(hAPP_f937997336l_bool(_u127, _u126)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HO ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HO-1, axiom, ( is_bool(hAPP_f1363661463l_bool(_u129, _u128)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Oboo ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Oboo-1, axiom, ( is_bool(hAPP_f595608956l_bool(_u131, _u130)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_-1, axiom, ( is_bool(hAPP_f1295398978l_bool(_u133, _u132)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_v_G ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_v_G-1, hypothesis, ( is_fun_a_bool(g) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_v_P ( axiom ) converted to clauses:
% 15.67/15.87 cnf(gsy_v_P-1, axiom, ( ~is_fun_a_bool(_u134) | is_fun949378684l_bool(p(_u134)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_v_U ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_v_U-1, hypothesis, ( is_fun_pname_bool(u) )).
% 15.67/15.87
% 15.67/15.87 % Formula: gsy_v_pn ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(gsy_v_pn-1, hypothesis, ( is_pname(pn) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_0_assms_I1_J ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_0_assms_I1_J-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u136), _u135)) | hBOOL(hAPP_fun_a_bool_bool(p(_u135), _u136)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_1_finite__Collect__subsets ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_1_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u137)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool), _u137)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_2_finite__Collect__subsets ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_2_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u138)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool), _u138)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_3_finite__Collect__subsets ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_3_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u139)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool), _u139)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_4_finite__Collect__subsets ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_4_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _u140)) | hBOOL(hAPP_f1295398978l_bool(finite719726885l_bool, collec1874991203l_bool(hAPP_f760187903l_bool(cOMBC_1269652216l_bool(ord_le65145710l_bool), _u140)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_5_finite__Collect__subsets ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_5_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _u141)) | hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool, collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool), _u141)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_6_finite__Collect__subsets ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_6_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _u142)) | hBOOL(hAPP_f1363661463l_bool(finite1343359508l_bool, collec1635217238l_bool(hAPP_f1050622307l_bool(cOMBC_636888218l_bool(ord_le967226251l_bool), _u142)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_7_finite__Collect__subsets ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_7_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u143)) | hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool), _u143)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_8_finite__Collect__subsets ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_8_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u144)) | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool), _u144)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_9_finite__Collect__subsets ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_9_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u145)) | hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool), _u145)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_10_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_10_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u146)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_pname_a(_u147, _u146))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_11_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_11_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _u148)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_2089570637ol_nat(_u149, _u148))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_12_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_12_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _u150)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_1079571347ol_nat(_u151, _u150))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_13_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_13_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _u152)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_1802975832ol_nat(_u153, _u152))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_14_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_14_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u154)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_fun_a_bool_nat(_u155, _u154))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_15_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_15_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u156)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_1551609309ol_nat(_u157, _u156))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_16_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_16_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u158)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_496248727ol_nat(_u159, _u158))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_17_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_17_finite__imageI-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u160)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_a_nat(_u161, _u160))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_18_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_18_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _u162)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1604018183_pname(_u163, _u162))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_19_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_19_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _u164)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1705983821_pname(_u165, _u164))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_20_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_20_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _u166)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_990671762_pname(_u167, _u166))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_21_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_21_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u168)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1854862208_pname(_u169, _u168))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_22_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_22_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u170)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1283814551_pname(_u171, _u170))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_23_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_23_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u172)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1921560913_pname(_u173, _u172))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_24_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_24_finite__imageI-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u174)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_a_pname(_u175, _u174))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_25_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_25_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u176)) | hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, image_1607900221l_bool(_u177, _u176))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_26_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_26_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u178)) | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, image_1874789623l_bool(_u179, _u178))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_27_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_27_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u180)) | hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, image_1208015684l_bool(_u181, _u180))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_28_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_28_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u182)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, image_nat_fun_a_bool(_u183, _u182))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_29_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_29_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u184)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, image_1655916159e_bool(_u185, _u184))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_30_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_30_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u186)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, image_26036933t_bool(_u187, _u186))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_31_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_31_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u188)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_nat_a(_u189, _u188))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_32_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_32_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u190)) | hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, image_1154884483l_bool(_u191, _u190))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_33_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_33_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u192)) | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, image_1642285373l_bool(_u193, _u192))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_34_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_34_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u194)) | hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, image_1420695166l_bool(_u195, _u194))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_35_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_35_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u196)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, image_112932426a_bool(_u197, _u196))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_36_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_36_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u198)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, image_47868345e_bool(_u199, _u198))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_37_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_37_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u200)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, image_2129980159t_bool(_u201, _u200))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_38_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_38_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u202)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_pname_pname(_u203, _u202))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_39_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_39_finite__imageI-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u204)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_a_a(_u205, _u204))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_40_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_40_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u206)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_fun_nat_bool_a(_u207, _u206))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_41_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_41_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u208)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_876012084bool_a(_u209, _u208))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_42_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_42_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u210)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_fun_a_bool_a(_u211, _u210))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_43_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_43_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u212)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_pname_nat(_u213, _u212))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_44_finite__imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_44_finite__imageI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u214)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_nat_pname(_u215, _u214))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_45_finite_OinsertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_45_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u216)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, insert_a(_u217, _u216))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_46_finite_OinsertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_46_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u218)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, insert_nat(_u219, _u218))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_47_finite_OinsertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_47_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u220)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, insert_pname(_u221, _u220))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_48_finite_OinsertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_48_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _u222)) | hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, insert2003652156l_bool(_u223, _u222))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_49_finite_OinsertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_49_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _u224)) | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, insert1117693814l_bool(_u225, _u224))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_50_finite_OinsertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_50_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _u226)) | hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, insert1457093509l_bool(_u227, _u226))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_51_finite_OinsertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_51_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u228)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, insert_fun_a_bool(_u229, _u228))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_52_finite_OinsertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_52_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u230)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, insert1325755072e_bool(_u231, _u230))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_53_finite_OinsertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_53_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u232)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, insert_fun_nat_bool(_u233, _u232))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_54_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_54_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u234)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_pname_nat(_u235, _u234))), hAPP_f921600141ol_nat(finite_card_pname, _u234))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_55_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_55_card__image__le-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u236)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_a_nat(_u237, _u236))), hAPP_fun_a_bool_nat(finite_card_a, _u236))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_56_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_56_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u238)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_496248727ol_nat(_u239, _u238))), hAPP_f696928925ol_nat(finite346522414t_bool, _u238))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_57_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_57_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u240)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_1551609309ol_nat(_u241, _u240))), hAPP_f55526627ol_nat(finite1340463720e_bool, _u240))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_58_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_58_card__image__le-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u242)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_fun_a_bool_nat(_u243, _u242))), hAPP_f2009550088ol_nat(finite1306199131a_bool, _u242))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_59_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_59_card__image__le-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u244)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_a_pname(_u245, _u244))), hAPP_fun_a_bool_nat(finite_card_a, _u244))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_60_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_60_card__image__le-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u246)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_nat_pname(_u247, _u246))), hAPP_f22106695ol_nat(finite_card_nat, _u246))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_61_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_61_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u248)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_pname_a(_u249, _u248))), hAPP_f921600141ol_nat(finite_card_pname, _u248))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_62_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_62_card__image__le-1, axiom, ( ~hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _u250)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_526090948bool_a(_u251, _u250))), hAPP_f1690079119ol_nat(finite1352710292l_bool, _u250))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_63_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_63_card__image__le-1, axiom, ( ~hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _u252)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_349102846bool_a(_u253, _u252))), hAPP_f98387925ol_nat(finite269641166l_bool, _u252))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_64_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_64_card__image__le-1, axiom, ( ~hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _u254)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_573985017bool_a(_u255, _u254))), hAPP_f1253658590ol_nat(finite1659325229l_bool, _u254))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_65_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_65_card__image__le-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u256)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_fun_a_bool_a(_u257, _u256))), hAPP_f2009550088ol_nat(finite1306199131a_bool, _u256))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_66_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_66_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u258)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_876012084bool_a(_u259, _u258))), hAPP_f55526627ol_nat(finite1340463720e_bool, _u258))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_67_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_67_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u260)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_fun_nat_bool_a(_u261, _u260))), hAPP_f696928925ol_nat(finite346522414t_bool, _u260))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_68_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_68_card__image__le-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u262)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_a_a(_u263, _u262))), hAPP_fun_a_bool_nat(finite_card_a, _u262))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_69_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_69_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u264)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_pname_pname(_u265, _u264))), hAPP_f921600141ol_nat(finite_card_pname, _u264))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_70_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_70_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u266)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, image_2129980159t_bool(_u267, _u266))), hAPP_f921600141ol_nat(finite_card_pname, _u266))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_71_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_71_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u268)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, image_47868345e_bool(_u269, _u268))), hAPP_f921600141ol_nat(finite_card_pname, _u268))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_72_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_72_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u270)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, image_112932426a_bool(_u271, _u270))), hAPP_f921600141ol_nat(finite_card_pname, _u270))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_73_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_73_card__image__le-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u272)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_nat_a(_u273, _u272))), hAPP_f22106695ol_nat(finite_card_nat, _u272))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_74_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_74_card__image__le-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u274)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, image_26036933t_bool(_u275, _u274))), hAPP_f22106695ol_nat(finite_card_nat, _u274))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_75_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_75_card__image__le-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u276)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, image_1655916159e_bool(_u277, _u276))), hAPP_f22106695ol_nat(finite_card_nat, _u276))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_76_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_76_card__image__le-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u278)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, image_nat_fun_a_bool(_u279, _u278))), hAPP_f22106695ol_nat(finite_card_nat, _u278))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_77_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_77_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u280)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_1921560913_pname(_u281, _u280))), hAPP_f696928925ol_nat(finite346522414t_bool, _u280))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_78_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_78_card__image__le-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u282)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_1283814551_pname(_u283, _u282))), hAPP_f55526627ol_nat(finite1340463720e_bool, _u282))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_79_card__image__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_79_card__image__le-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u284)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_1854862208_pname(_u285, _u284))), hAPP_f2009550088ol_nat(finite1306199131a_bool, _u284))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_80_card__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_80_card__mono-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u286)) | ~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _u287), _u286)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, _u287)), hAPP_f696928925ol_nat(finite346522414t_bool, _u286))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_81_card__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_81_card__mono-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u288)) | ~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _u289), _u288)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, _u289)), hAPP_f55526627ol_nat(finite1340463720e_bool, _u288))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_82_card__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_82_card__mono-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u290)) | ~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _u291), _u290)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, _u291)), hAPP_f2009550088ol_nat(finite1306199131a_bool, _u290))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_83_card__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_83_card__mono-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u292)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u293), _u292)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, _u293)), hAPP_f921600141ol_nat(finite_card_pname, _u292))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_84_card__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_84_card__mono-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u294)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u295), _u294)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, _u295)), hAPP_fun_a_bool_nat(finite_card_a, _u294))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_85_card__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_85_card__mono-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u296)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u297), _u296)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, _u297)), hAPP_f22106695ol_nat(finite_card_nat, _u296))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_86_card__seteq ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_86_card__seteq-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u298)) | ~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _u299), _u298)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, _u298)), hAPP_f696928925ol_nat(finite346522414t_bool, _u299))) | ( _u299 = _u298) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_87_card__seteq ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_87_card__seteq-1, axiom, ( ~is_fun1661590463l_bool(_u301) | ~is_fun1661590463l_bool(_u300) | ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u300)) | ~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _u301), _u300)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, _u300)), hAPP_f55526627ol_nat(finite1340463720e_bool, _u301))) | ( _u301 = _u300) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_88_card__seteq ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_88_card__seteq-1, axiom, ( ~is_fun949378684l_bool(_u303) | ~is_fun949378684l_bool(_u302) | ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u302)) | ~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _u303), _u302)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, _u302)), hAPP_f2009550088ol_nat(finite1306199131a_bool, _u303))) | ( _u303 = _u302) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_89_card__seteq ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_89_card__seteq-1, axiom, ( ~is_fun_pname_bool(_u305) | ~is_fun_pname_bool(_u304) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u304)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u305), _u304)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, _u304)), hAPP_f921600141ol_nat(finite_card_pname, _u305))) | ( _u305 = _u304) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_90_card__seteq ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_90_card__seteq-1, axiom, ( ~is_fun_a_bool(_u307) | ~is_fun_a_bool(_u306) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u306)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u307), _u306)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, _u306)), hAPP_fun_a_bool_nat(finite_card_a, _u307))) | ( _u307 = _u306) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_91_card__seteq ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_91_card__seteq-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u308)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u309), _u308)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, _u308)), hAPP_f22106695ol_nat(finite_card_nat, _u309))) | ( _u309 = _u308) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_92_card__insert__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_92_card__insert__le-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u310)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, _u310)), hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_u311, _u310)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_93_card__insert__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_93_card__insert__le-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u312)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, _u312)), hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_u313, _u312)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_94_card__insert__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_94_card__insert__le-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u314)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, _u314)), hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_u315, _u314)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_95_card__insert__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_95_card__insert__le-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u316)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, _u316)), hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_u317, _u316)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_96_card__insert__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_96_card__insert__le-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u318)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, _u318)), hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_u319, _u318)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_97_card__insert__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_97_card__insert__le-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u320)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, _u320)), hAPP_fun_a_bool_nat(finite_card_a, insert_a(_u321, _u320)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_98_card__insert__if ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_98_card__insert__if-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u322)) | ~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool, _u323), _u322)) | ( hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_u323, _u322)) = hAPP_f696928925ol_nat(finite346522414t_bool, _u322)) )).
% 15.67/15.87 cnf(fact_98_card__insert__if-2, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u322)) | hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool, _u323), _u322)) | ( hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_u323, _u322)) = hAPP_nat_nat(suc, hAPP_f696928925ol_nat(finite346522414t_bool, _u322))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_99_card__insert__if ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_99_card__insert__if-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u324)) | ~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool, _u325), _u324)) | ( hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_u325, _u324)) = hAPP_f55526627ol_nat(finite1340463720e_bool, _u324)) )).
% 15.67/15.87 cnf(fact_99_card__insert__if-2, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u324)) | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool, _u325), _u324)) | ( hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_u325, _u324)) = hAPP_nat_nat(suc, hAPP_f55526627ol_nat(finite1340463720e_bool, _u324))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_100_card__insert__if ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_100_card__insert__if-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u326)) | ~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool, _u327), _u326)) | ( hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_u327, _u326)) = hAPP_f2009550088ol_nat(finite1306199131a_bool, _u326)) )).
% 15.67/15.87 cnf(fact_100_card__insert__if-2, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u326)) | hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool, _u327), _u326)) | ( hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_u327, _u326)) = hAPP_nat_nat(suc, hAPP_f2009550088ol_nat(finite1306199131a_bool, _u326))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_101_card__insert__if ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_101_card__insert__if-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u328)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u329), _u328)) | ( hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_u329, _u328)) = hAPP_f22106695ol_nat(finite_card_nat, _u328)) )).
% 15.67/15.87 cnf(fact_101_card__insert__if-2, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u328)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u329), _u328)) | ( hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_u329, _u328)) = hAPP_nat_nat(suc, hAPP_f22106695ol_nat(finite_card_nat, _u328))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_102_card__insert__if ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_102_card__insert__if-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u330)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u331), _u330)) | ( hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_u331, _u330)) = hAPP_f921600141ol_nat(finite_card_pname, _u330)) )).
% 15.67/15.87 cnf(fact_102_card__insert__if-2, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u330)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u331), _u330)) | ( hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_u331, _u330)) = hAPP_nat_nat(suc, hAPP_f921600141ol_nat(finite_card_pname, _u330))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_103_card__insert__if ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_103_card__insert__if-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u332)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u333), _u332)) | ( hAPP_fun_a_bool_nat(finite_card_a, insert_a(_u333, _u332)) = hAPP_fun_a_bool_nat(finite_card_a, _u332)) )).
% 15.67/15.87 cnf(fact_103_card__insert__if-2, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u332)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u333), _u332)) | ( hAPP_fun_a_bool_nat(finite_card_a, insert_a(_u333, _u332)) = hAPP_nat_nat(suc, hAPP_fun_a_bool_nat(finite_card_a, _u332))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_104_card__insert__disjoint ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_104_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u334)) | hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool, _u335), _u334)) | ( hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_u335, _u334)) = hAPP_nat_nat(suc, hAPP_f696928925ol_nat(finite346522414t_bool, _u334))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_105_card__insert__disjoint ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_105_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u336)) | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool, _u337), _u336)) | ( hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_u337, _u336)) = hAPP_nat_nat(suc, hAPP_f55526627ol_nat(finite1340463720e_bool, _u336))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_106_card__insert__disjoint ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_106_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u338)) | hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool, _u339), _u338)) | ( hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_u339, _u338)) = hAPP_nat_nat(suc, hAPP_f2009550088ol_nat(finite1306199131a_bool, _u338))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_107_card__insert__disjoint ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_107_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u340)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u341), _u340)) | ( hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_u341, _u340)) = hAPP_nat_nat(suc, hAPP_f22106695ol_nat(finite_card_nat, _u340))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_108_card__insert__disjoint ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_108_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u342)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u343), _u342)) | ( hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_u343, _u342)) = hAPP_nat_nat(suc, hAPP_f921600141ol_nat(finite_card_pname, _u342))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_109_card__insert__disjoint ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_109_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u344)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u345), _u344)) | ( hAPP_fun_a_bool_nat(finite_card_a, insert_a(_u345, _u344)) = hAPP_nat_nat(suc, hAPP_fun_a_bool_nat(finite_card_a, _u344))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_110_finite__Collect__conjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_110_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj, _u346), _u347)))) | ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u346))) )).
% 15.67/15.87 cnf(fact_110_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj, _u346), _u347)))) | ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u347))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_111_finite__Collect__conjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_111_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj, _u348), _u349)))) | ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u348))) )).
% 15.67/15.87 cnf(fact_111_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj, _u348), _u349)))) | ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u349))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_112_finite__Collect__conjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_112_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj, _u350), _u351)))) | ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u350))) )).
% 15.67/15.87 cnf(fact_112_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj, _u350), _u351)))) | ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u351))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_113_finite__Collect__conjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_113_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj, _u352), _u353)))) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u352))) )).
% 15.67/15.87 cnf(fact_113_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj, _u352), _u353)))) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u353))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_114_finite__Collect__conjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_114_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj, _u354), _u355)))) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u354))) )).
% 15.67/15.87 cnf(fact_114_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj, _u354), _u355)))) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u355))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_115_finite__Collect__conjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_115_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj, _u356), _u357)))) | ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u356))) )).
% 15.67/15.87 cnf(fact_115_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj, _u356), _u357)))) | ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u357))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_116_Suc__diff__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_116_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u359), _u358)) | ( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc, _u358)), _u359) = hAPP_nat_nat(suc, hAPP_nat_nat(minus_minus_nat(_u358), _u359))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_117_finite__Collect__le__nat ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_117_finite__Collect__le__nat-1, axiom, ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat), _u360)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_118_card__Collect__le__nat ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_118_card__Collect__le__nat-1, axiom, ( ( hAPP_f22106695ol_nat(finite_card_nat, collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat), _u361))) = hAPP_nat_nat(suc, _u361)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_119_Suc__inject ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_119_Suc__inject-1, axiom, ( ( hAPP_nat_nat(suc, _u363) != hAPP_nat_nat(suc, _u362)) | ( _u363 = _u362) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_120_nat_Oinject ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_120_nat_Oinject-1, axiom, ( ( hAPP_nat_nat(suc, _u368) != hAPP_nat_nat(suc, _u366)) | ( _u368 = _u366) )).
% 15.67/15.87 cnf(fact_120_nat_Oinject-2, axiom, ( ( _u369 != _u367) | ( hAPP_nat_nat(suc, _u369) = hAPP_nat_nat(suc, _u367)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_121_Suc__n__not__n ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_121_Suc__n__not__n-1, axiom, ( ( hAPP_nat_nat(suc, _u370) != _u370) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_122_n__not__Suc__n ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_122_n__not__Suc__n-1, axiom, ( ( _u371 != hAPP_nat_nat(suc, _u371)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_123_le__antisym ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_123_le__antisym-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u373), _u372)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u372), _u373)) | ( _u373 = _u372) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_124_le__trans ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_124_le__trans-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u375), _u374)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u374), _u376)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u375), _u376)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_125_eq__imp__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_125_eq__imp__le-1, axiom, ( ( _u378 != _u377) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u378), _u377)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_126_nat__le__linear ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_126_nat__le__linear-1, axiom, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u380), _u379)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u379), _u380)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_127_le__refl ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_127_le__refl-1, axiom, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u381), _u381)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_128_diff__commute ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_128_diff__commute-1, axiom, ( ( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_u384), _u383)), _u382) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_u384), _u382)), _u383)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_129_finite__Collect__disjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_129_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, _u389), _u387)))) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u389))) )).
% 15.67/15.87 cnf(fact_129_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, _u389), _u387)))) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u387))) )).
% 15.67/15.87 cnf(fact_129_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u390))) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u388))) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, _u390), _u388)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_130_finite__Collect__disjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_130_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, _u395), _u393)))) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u395))) )).
% 15.67/15.87 cnf(fact_130_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, _u395), _u393)))) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u393))) )).
% 15.67/15.87 cnf(fact_130_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u396))) | ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u394))) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, _u396), _u394)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_131_finite__Collect__disjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_131_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, _u401), _u399)))) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u401))) )).
% 15.67/15.87 cnf(fact_131_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, _u401), _u399)))) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u399))) )).
% 15.67/15.87 cnf(fact_131_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u402))) | ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u400))) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, _u402), _u400)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_132_finite__Collect__disjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_132_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, _u407), _u405)))) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u407))) )).
% 15.67/15.87 cnf(fact_132_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, _u407), _u405)))) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u405))) )).
% 15.67/15.87 cnf(fact_132_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u408))) | ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u406))) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, _u408), _u406)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_133_finite__Collect__disjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_133_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, _u413), _u411)))) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u413))) )).
% 15.67/15.87 cnf(fact_133_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, _u413), _u411)))) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u411))) )).
% 15.67/15.87 cnf(fact_133_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u414))) | ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u412))) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, _u414), _u412)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_134_finite__Collect__disjI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_134_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, _u419), _u417)))) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u419))) )).
% 15.67/15.87 cnf(fact_134_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, _u419), _u417)))) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u417))) )).
% 15.67/15.87 cnf(fact_134_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u420))) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u418))) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, _u420), _u418)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_135_finite__insert ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_135_finite__insert-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, insert_nat(_u425, _u423))) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u423)) )).
% 15.67/15.87 cnf(fact_135_finite__insert-2, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u424)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, insert_nat(_u426, _u424))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_136_finite__insert ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_136_finite__insert-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, insert_pname(_u431, _u429))) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u429)) )).
% 15.67/15.87 cnf(fact_136_finite__insert-2, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u430)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, insert_pname(_u432, _u430))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_137_finite__insert ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_137_finite__insert-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, insert_a(_u437, _u435))) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u435)) )).
% 15.67/15.87 cnf(fact_137_finite__insert-2, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u436)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, insert_a(_u438, _u436))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_138_finite__insert ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_138_finite__insert-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, insert_fun_nat_bool(_u443, _u441))) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u441)) )).
% 15.67/15.87 cnf(fact_138_finite__insert-2, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u442)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, insert_fun_nat_bool(_u444, _u442))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_139_finite__insert ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_139_finite__insert-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, insert1325755072e_bool(_u449, _u447))) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u447)) )).
% 15.67/15.87 cnf(fact_139_finite__insert-2, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u448)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, insert1325755072e_bool(_u450, _u448))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_140_finite__insert ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_140_finite__insert-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, insert_fun_a_bool(_u455, _u453))) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u453)) )).
% 15.67/15.87 cnf(fact_140_finite__insert-2, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u454)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, insert_fun_a_bool(_u456, _u454))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_141_finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_141_finite__subset-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _u458), _u457)) | ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u457)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u458)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_142_finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_142_finite__subset-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _u460), _u459)) | ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u459)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u460)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_143_finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_143_finite__subset-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u462), _u461)) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u461)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u462)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_144_finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_144_finite__subset-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _u464), _u463)) | ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u463)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u464)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_145_finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_145_finite__subset-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u466), _u465)) | ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u465)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u466)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_146_finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_146_finite__subset-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u468), _u467)) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u467)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u468)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_147_rev__finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_147_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u469)) | ~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _u470), _u469)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u470)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_148_rev__finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_148_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u471)) | ~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _u472), _u471)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u472)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_149_rev__finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_149_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u473)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u474), _u473)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u474)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_150_rev__finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_150_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u475)) | ~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _u476), _u475)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u476)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_151_rev__finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_151_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u477)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u478), _u477)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u478)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_152_rev__finite__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_152_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u479)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u480), _u479)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u480)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_153_Suc__leD ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_153_Suc__leD-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u482)), _u481)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u482), _u481)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_154_le__SucE ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_154_le__SucE-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u484), hAPP_nat_nat(suc, _u483))) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u484), _u483)) | ( _u484 = hAPP_nat_nat(suc, _u483)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_155_le__SucI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_155_le__SucI-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u486), _u485)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u486), hAPP_nat_nat(suc, _u485))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_156_Suc__le__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_156_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u491)), hAPP_nat_nat(suc, _u489))) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u491), _u489)) )).
% 15.67/15.87 cnf(fact_156_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u492), _u490)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u492)), hAPP_nat_nat(suc, _u490))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_157_le__Suc__eq ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_157_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u497), hAPP_nat_nat(suc, _u495))) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u497), _u495)) | ( _u497 = hAPP_nat_nat(suc, _u495)) )).
% 15.67/15.87 cnf(fact_157_le__Suc__eq-2, axiom, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u498), hAPP_nat_nat(suc, _u496))) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u498), _u496)) )).
% 15.67/15.87 cnf(fact_157_le__Suc__eq-3, axiom, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u498), hAPP_nat_nat(suc, _u496))) | ( _u498 != hAPP_nat_nat(suc, _u496)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_158_not__less__eq__eq ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_158_not__less__eq__eq-1, axiom, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u503), _u501)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u501)), _u503)) )).
% 15.67/15.87 cnf(fact_158_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u502)), _u504)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u504), _u502)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_159_Suc__n__not__le__n ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_159_Suc__n__not__le__n-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u505)), _u505)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_160_Suc__diff__diff ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_160_Suc__diff__diff-1, axiom, ( ( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc, _u508)), _u507)), hAPP_nat_nat(suc, _u506)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_u508), _u507)), _u506)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_161_diff__Suc__Suc ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_161_diff__Suc__Suc-1, axiom, ( ( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc, _u510)), hAPP_nat_nat(suc, _u509)) = hAPP_nat_nat(minus_minus_nat(_u510), _u509)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_162_le__diff__iff ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_162_le__diff__iff-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u512), _u511)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u512), _u513)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_u511), _u512)), hAPP_nat_nat(minus_minus_nat(_u513), _u512))) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u511), _u513)) )).
% 15.67/15.87 cnf(fact_162_le__diff__iff-2, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u512), _u511)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u512), _u513)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u511), _u513)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_u511), _u512)), hAPP_nat_nat(minus_minus_nat(_u513), _u512))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_163_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_163_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u515), _u514)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u515), _u516)) | ( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_u514), _u515)), hAPP_nat_nat(minus_minus_nat(_u516), _u515)) = hAPP_nat_nat(minus_minus_nat(_u514), _u516)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_164_eq__diff__iff ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_164_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u518), _u517)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u518), _u519)) | ( hAPP_nat_nat(minus_minus_nat(_u517), _u518) != hAPP_nat_nat(minus_minus_nat(_u519), _u518)) | ( _u517 = _u519) )).
% 15.67/15.87 cnf(fact_164_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u518), _u517)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u518), _u519)) | ( _u517 != _u519) | ( hAPP_nat_nat(minus_minus_nat(_u517), _u518) = hAPP_nat_nat(minus_minus_nat(_u519), _u518)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_165_diff__diff__cancel ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_165_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u521), _u520)) | ( hAPP_nat_nat(minus_minus_nat(_u520), hAPP_nat_nat(minus_minus_nat(_u520), _u521)) = _u521) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_166_diff__le__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_166_diff__le__mono-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u523), _u522)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_u523), _u524)), hAPP_nat_nat(minus_minus_nat(_u522), _u524))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_167_diff__le__mono2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_167_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u526), _u525)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_u527), _u525)), hAPP_nat_nat(minus_minus_nat(_u527), _u526))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_168_diff__le__self ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_168_diff__le__self-1, axiom, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_u529), _u528)), _u529)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_169_finite__surj ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_169_finite__surj-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u530)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u532), image_pname_a(_u531, _u530))) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u532)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_170_finite__subset__image ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_170_finite__subset__image-1, axiom, ( ~is_fun_a_bool(_u534) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u534)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u534), image_pname_a(_u536, _u535))) | is_fun_pname_bool(skolem1(_u536, _u535, _u534)) )).
% 15.67/15.87 cnf(fact_170_finite__subset__image-2, axiom, ( ~is_fun_a_bool(_u534) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u534)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u534), image_pname_a(_u536, _u535))) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, skolem1(_u536, _u535, _u534)), _u535)) )).
% 15.67/15.87 cnf(fact_170_finite__subset__image-3, axiom, ( ~is_fun_a_bool(_u534) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u534)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u534), image_pname_a(_u536, _u535))) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, skolem1(_u536, _u535, _u534))) )).
% 15.67/15.87 cnf(fact_170_finite__subset__image-4, axiom, ( ~is_fun_a_bool(_u534) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u534)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u534), image_pname_a(_u536, _u535))) | ( _u534 = image_pname_a(_u536, skolem1(_u536, _u535, _u534))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_171_lift__Suc__mono__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_171_lift__Suc__mono__le-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, hAPP_n1699378549t_bool(_u538, skolem2(_u540, _u539, _u538))), hAPP_n1699378549t_bool(_u538, hAPP_nat_nat(suc, skolem2(_u540, _u539, _u538))))) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u540), _u539)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, hAPP_n1699378549t_bool(_u538, _u540)), hAPP_n1699378549t_bool(_u538, _u539))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_172_lift__Suc__mono__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_172_lift__Suc__mono__le-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, hAPP_n1025906991e_bool(_u542, skolem3(_u544, _u543, _u542))), hAPP_n1025906991e_bool(_u542, hAPP_nat_nat(suc, skolem3(_u544, _u543, _u542))))) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u544), _u543)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, hAPP_n1025906991e_bool(_u542, _u544)), hAPP_n1025906991e_bool(_u542, _u543))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_173_lift__Suc__mono__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_173_lift__Suc__mono__le-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(_u546, skolem4(_u548, _u547, _u546))), hAPP_nat_nat(_u546, hAPP_nat_nat(suc, skolem4(_u548, _u547, _u546))))) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u548), _u547)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(_u546, _u548)), hAPP_nat_nat(_u546, _u547))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_174_lift__Suc__mono__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_174_lift__Suc__mono__le-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, hAPP_nat_fun_a_bool(_u550, skolem5(_u552, _u551, _u550))), hAPP_nat_fun_a_bool(_u550, hAPP_nat_nat(suc, skolem5(_u552, _u551, _u550))))) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u552), _u551)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, hAPP_nat_fun_a_bool(_u550, _u552)), hAPP_nat_fun_a_bool(_u550, _u551))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_175_pigeonhole__infinite ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_175_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u554)) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_pname_a(_u555, _u554))) | is_pname(skolem6(_u555, _u554)) )).
% 15.67/15.87 cnf(fact_175_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u554)) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_pname_a(_u555, _u554))) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem6(_u555, _u554)), _u554)) )).
% 15.67/15.87 cnf(fact_175_pigeonhole__infinite-3, axiom, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u554)) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_pname_a(_u555, _u554))) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj, hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname), _u554)), hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a, _u555)), hAPP_pname_a(_u555, skolem6(_u555, _u554))))))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_176_image__eqI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_176_image__eqI-1, axiom, ( ( _u558 != hAPP_pname_a(_u557, _u556)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u556), _u559)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u558), image_pname_a(_u557, _u559))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_177_equalityI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_177_equalityI-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u561), _u560)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u560), _u561)) | ( _u561 = _u560) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_178_equalityI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_178_equalityI-1, axiom, ( ~is_fun_pname_bool(_u563) | ~is_fun_pname_bool(_u562) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u563), _u562)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u562), _u563)) | ( _u563 = _u562) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_179_equalityI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_179_equalityI-1, axiom, ( ~is_fun_a_bool(_u565) | ~is_fun_a_bool(_u564) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u565), _u564)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u564), _u565)) | ( _u565 = _u564) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_180_subsetD ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_180_subsetD-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u567), _u566)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u568), _u567)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u568), _u566)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_181_subsetD ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_181_subsetD-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u570), _u569)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u571), _u570)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u571), _u569)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_182_subsetD ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_182_subsetD-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u573), _u572)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u574), _u573)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u574), _u572)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_183_insertCI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_183_insertCI-1, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u576), insert_nat(_u577, _u575))) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u576), _u575)) )).
% 15.67/15.87 cnf(fact_183_insertCI-2, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u576), insert_nat(_u577, _u575))) | ( _u576 != _u577) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_184_insertCI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_184_insertCI-1, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u579), insert_pname(_u580, _u578))) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u579), _u578)) )).
% 15.67/15.87 cnf(fact_184_insertCI-2, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u579), insert_pname(_u580, _u578))) | ( _u579 != _u580) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_185_insertCI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_185_insertCI-1, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u582), insert_a(_u583, _u581))) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u582), _u581)) )).
% 15.67/15.87 cnf(fact_185_insertCI-2, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u582), insert_a(_u583, _u581))) | ( _u582 != _u583) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_186_insertE ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_186_insertE-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u586), insert_nat(_u585, _u584))) | ( _u586 = _u585) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u586), _u584)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_187_insertE ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_187_insertE-1, axiom, ( ~is_pname(_u589) | ~is_pname(_u588) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u589), insert_pname(_u588, _u587))) | ( _u589 = _u588) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u589), _u587)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_188_insertE ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_188_insertE-1, axiom, ( ~is_a(_u592) | ~is_a(_u591) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u592), insert_a(_u591, _u590))) | ( _u592 = _u591) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u592), _u590)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_189_insertI1 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_189_insertI1-1, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u594), insert_nat(_u594, _u593))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_190_insertI1 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_190_insertI1-1, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u596), insert_pname(_u596, _u595))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_191_insertI1 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_191_insertI1-1, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u598), insert_a(_u598, _u597))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_192_insert__compr ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_192_insert__compr-1, axiom, ( ( insert_nat(_u600, _u599) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat), _u600)), hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat), _u599)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_193_insert__compr ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_193_insert__compr-1, axiom, ( ( insert_pname(_u602, _u601) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname), _u602)), hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname), _u601)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_194_insert__compr ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_194_insert__compr-1, axiom, ( ( insert_a(_u604, _u603) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a), _u604)), hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a), _u603)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_195_insert__compr ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_195_insert__compr-1, axiom, ( ( insert_fun_nat_bool(_u606, _u605) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool), _u606)), hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool), _u605)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_196_insert__compr ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_196_insert__compr-1, axiom, ( ( insert1325755072e_bool(_u608, _u607) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool), _u608)), hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool), _u607)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_197_insert__compr ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_197_insert__compr-1, axiom, ( ( insert_fun_a_bool(_u610, _u609) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool), _u610)), hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool), _u609)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_198_insert__Collect ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_198_insert__Collect-1, axiom, ( ( insert_nat(_u612, collect_nat(_u611)) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies, cOMBB_bool_bool_nat(fNot, hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat), _u612))), _u611))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_199_insert__Collect ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_199_insert__Collect-1, axiom, ( ( insert_pname(_u614, collect_pname(_u613)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies, cOMBB_647938656_pname(fNot, hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname), _u614))), _u613))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_200_insert__Collect ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_200_insert__Collect-1, axiom, ( ( insert_a(_u616, collect_a(_u615)) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies, cOMBB_bool_bool_a(fNot, hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a), _u616))), _u615))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_201_insert__Collect ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_201_insert__Collect-1, axiom, ( ( insert_fun_nat_bool(_u618, collect_fun_nat_bool(_u617)) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies, cOMBB_238756964t_bool(fNot, hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool), _u618))), _u617))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_202_insert__Collect ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_202_insert__Collect-1, axiom, ( ( insert1325755072e_bool(_u620, collec1974731493e_bool(_u619)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies, cOMBB_307249310e_bool(fNot, hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool), _u620))), _u619))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_203_insert__Collect ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_203_insert__Collect-1, axiom, ( ( insert_fun_a_bool(_u622, collect_fun_a_bool(_u621)) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies, cOMBB_2140588453a_bool(fNot, hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool), _u622))), _u621))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_204_insert__absorb2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_204_insert__absorb2-1, axiom, ( ( insert_nat(_u624, insert_nat(_u624, _u623)) = insert_nat(_u624, _u623)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_205_insert__absorb2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_205_insert__absorb2-1, axiom, ( ( insert_pname(_u626, insert_pname(_u626, _u625)) = insert_pname(_u626, _u625)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_206_insert__absorb2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_206_insert__absorb2-1, axiom, ( ( insert_a(_u628, insert_a(_u628, _u627)) = insert_a(_u628, _u627)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_207_insert__commute ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_207_insert__commute-1, axiom, ( ( insert_nat(_u631, insert_nat(_u630, _u629)) = insert_nat(_u630, insert_nat(_u631, _u629))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_208_insert__commute ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_208_insert__commute-1, axiom, ( ( insert_pname(_u634, insert_pname(_u633, _u632)) = insert_pname(_u633, insert_pname(_u634, _u632))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_209_insert__commute ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_209_insert__commute-1, axiom, ( ( insert_a(_u637, insert_a(_u636, _u635)) = insert_a(_u636, insert_a(_u637, _u635))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_210_insert__iff ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_210_insert__iff-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u645), insert_nat(_u643, _u641))) | ( _u645 = _u643) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u645), _u641)) )).
% 15.67/15.87 cnf(fact_210_insert__iff-2, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u646), insert_nat(_u644, _u642))) | ( _u646 != _u644) )).
% 15.67/15.87 cnf(fact_210_insert__iff-3, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u646), insert_nat(_u644, _u642))) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u646), _u642)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_211_insert__iff ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_211_insert__iff-1, axiom, ( ~is_pname(_u649) | ~is_pname(_u648) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u649), insert_pname(_u648, _u650))) | ( _u649 = _u648) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u649), _u650)) )).
% 15.67/15.87 cnf(fact_211_insert__iff-2, axiom, ( ~is_pname(_u649) | ~is_pname(_u648) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u649), insert_pname(_u648, _u651))) | ( _u649 != _u648) )).
% 15.67/15.87 cnf(fact_211_insert__iff-3, axiom, ( ~is_pname(_u649) | ~is_pname(_u648) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u649), insert_pname(_u648, _u651))) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u649), _u651)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_212_insert__iff ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_212_insert__iff-1, axiom, ( ~is_a(_u654) | ~is_a(_u653) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u654), insert_a(_u653, _u655))) | ( _u654 = _u653) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u654), _u655)) )).
% 15.67/15.87 cnf(fact_212_insert__iff-2, axiom, ( ~is_a(_u654) | ~is_a(_u653) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u654), insert_a(_u653, _u656))) | ( _u654 != _u653) )).
% 15.67/15.87 cnf(fact_212_insert__iff-3, axiom, ( ~is_a(_u654) | ~is_a(_u653) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u654), insert_a(_u653, _u656))) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u654), _u656)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_213_insert__code ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_213_insert__code-1, axiom, ( ~hBOOL(hAPP_nat_bool(insert_nat(_u664, _u662), _u660)) | ( _u664 = _u660) | hBOOL(hAPP_nat_bool(_u662, _u660)) )).
% 15.67/15.87 cnf(fact_213_insert__code-2, axiom, ( hBOOL(hAPP_nat_bool(insert_nat(_u665, _u663), _u661)) | ( _u665 != _u661) )).
% 15.67/15.87 cnf(fact_213_insert__code-3, axiom, ( hBOOL(hAPP_nat_bool(insert_nat(_u665, _u663), _u661)) | ~hBOOL(hAPP_nat_bool(_u663, _u661)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_214_insert__code ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_214_insert__code-1, axiom, ( ~is_pname(_u668) | ~is_pname(_u666) | ~hBOOL(hAPP_pname_bool(insert_pname(_u668, _u667), _u666)) | ( _u668 = _u666) | hBOOL(hAPP_pname_bool(_u667, _u666)) )).
% 15.67/15.87 cnf(fact_214_insert__code-2, axiom, ( ~is_pname(_u668) | ~is_pname(_u666) | hBOOL(hAPP_pname_bool(insert_pname(_u668, _u667), _u666)) | ( _u668 != _u666) )).
% 15.67/15.87 cnf(fact_214_insert__code-3, axiom, ( ~is_pname(_u668) | ~is_pname(_u666) | hBOOL(hAPP_pname_bool(insert_pname(_u668, _u667), _u666)) | ~hBOOL(hAPP_pname_bool(_u667, _u666)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_215_insert__code ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_215_insert__code-1, axiom, ( ~is_a(_u671) | ~is_a(_u669) | ~hBOOL(hAPP_a_bool(insert_a(_u671, _u670), _u669)) | ( _u671 = _u669) | hBOOL(hAPP_a_bool(_u670, _u669)) )).
% 15.67/15.87 cnf(fact_215_insert__code-2, axiom, ( ~is_a(_u671) | ~is_a(_u669) | hBOOL(hAPP_a_bool(insert_a(_u671, _u670), _u669)) | ( _u671 != _u669) )).
% 15.67/15.87 cnf(fact_215_insert__code-3, axiom, ( ~is_a(_u671) | ~is_a(_u669) | hBOOL(hAPP_a_bool(insert_a(_u671, _u670), _u669)) | ~hBOOL(hAPP_a_bool(_u670, _u669)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_216_insert__ident ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_216_insert__ident-1, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u673), _u672)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u673), _u674)) | ( insert_nat(_u673, _u672) != insert_nat(_u673, _u674)) | ( _u672 = _u674) )).
% 15.67/15.87 cnf(fact_216_insert__ident-2, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u673), _u672)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u673), _u674)) | ( _u672 != _u674) | ( insert_nat(_u673, _u672) = insert_nat(_u673, _u674)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_217_insert__ident ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_217_insert__ident-1, axiom, ( ~is_fun_pname_bool(_u677) | ~is_fun_pname_bool(_u675) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u676), _u675)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u676), _u677)) | ( insert_pname(_u676, _u675) != insert_pname(_u676, _u677)) | ( _u675 = _u677) )).
% 15.67/15.87 cnf(fact_217_insert__ident-2, axiom, ( ~is_fun_pname_bool(_u677) | ~is_fun_pname_bool(_u675) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u676), _u675)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u676), _u677)) | ( _u675 != _u677) | ( insert_pname(_u676, _u675) = insert_pname(_u676, _u677)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_218_insert__ident ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_218_insert__ident-1, axiom, ( ~is_fun_a_bool(_u680) | ~is_fun_a_bool(_u678) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u679), _u678)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u679), _u680)) | ( insert_a(_u679, _u678) != insert_a(_u679, _u680)) | ( _u678 = _u680) )).
% 15.67/15.87 cnf(fact_218_insert__ident-2, axiom, ( ~is_fun_a_bool(_u680) | ~is_fun_a_bool(_u678) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u679), _u678)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u679), _u680)) | ( _u678 != _u680) | ( insert_a(_u679, _u678) = insert_a(_u679, _u680)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_219_insertI2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_219_insertI2-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u682), _u681)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u682), insert_nat(_u683, _u681))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_220_insertI2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_220_insertI2-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u685), _u684)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u685), insert_pname(_u686, _u684))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_221_insertI2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_221_insertI2-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u688), _u687)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u688), insert_a(_u689, _u687))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_222_insert__absorb ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_222_insert__absorb-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u691), _u690)) | ( insert_nat(_u691, _u690) = _u690) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_223_insert__absorb ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_223_insert__absorb-1, axiom, ( ~is_fun_pname_bool(_u692) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u693), _u692)) | ( insert_pname(_u693, _u692) = _u692) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_224_insert__absorb ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_224_insert__absorb-1, axiom, ( ~is_fun_a_bool(_u694) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u695), _u694)) | ( insert_a(_u695, _u694) = _u694) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_225_subset__refl ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_225_subset__refl-1, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u696), _u696)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_226_subset__refl ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_226_subset__refl-1, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u697), _u697)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_227_subset__refl ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_227_subset__refl-1, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u698), _u698)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_228_set__eq__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_228_set__eq__subset-1, axiom, ( ( _u703 != _u701) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u703), _u701)) )).
% 15.67/15.87 cnf(fact_228_set__eq__subset-2, axiom, ( ( _u703 != _u701) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u701), _u703)) )).
% 15.67/15.87 cnf(fact_228_set__eq__subset-3, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u704), _u702)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u702), _u704)) | ( _u704 = _u702) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_229_set__eq__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_229_set__eq__subset-1, axiom, ( ~is_fun_pname_bool(_u706) | ~is_fun_pname_bool(_u705) | ( _u706 != _u705) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u706), _u705)) )).
% 15.67/15.87 cnf(fact_229_set__eq__subset-2, axiom, ( ~is_fun_pname_bool(_u706) | ~is_fun_pname_bool(_u705) | ( _u706 != _u705) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u705), _u706)) )).
% 15.67/15.87 cnf(fact_229_set__eq__subset-3, axiom, ( ~is_fun_pname_bool(_u706) | ~is_fun_pname_bool(_u705) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u706), _u705)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u705), _u706)) | ( _u706 = _u705) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_230_set__eq__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_230_set__eq__subset-1, axiom, ( ~is_fun_a_bool(_u708) | ~is_fun_a_bool(_u707) | ( _u708 != _u707) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u708), _u707)) )).
% 15.67/15.87 cnf(fact_230_set__eq__subset-2, axiom, ( ~is_fun_a_bool(_u708) | ~is_fun_a_bool(_u707) | ( _u708 != _u707) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u707), _u708)) )).
% 15.67/15.87 cnf(fact_230_set__eq__subset-3, axiom, ( ~is_fun_a_bool(_u708) | ~is_fun_a_bool(_u707) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u708), _u707)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u707), _u708)) | ( _u708 = _u707) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_231_equalityD1 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_231_equalityD1-1, axiom, ( ( _u710 != _u709) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u710), _u709)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_232_equalityD1 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_232_equalityD1-1, axiom, ( ( _u712 != _u711) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u712), _u711)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_233_equalityD1 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_233_equalityD1-1, axiom, ( ( _u714 != _u713) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u714), _u713)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_234_equalityD2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_234_equalityD2-1, axiom, ( ( _u716 != _u715) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u715), _u716)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_235_equalityD2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_235_equalityD2-1, axiom, ( ( _u718 != _u717) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u717), _u718)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_236_equalityD2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_236_equalityD2-1, axiom, ( ( _u720 != _u719) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u719), _u720)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_237_in__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_237_in__mono-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u722), _u721)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u723), _u722)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u723), _u721)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_238_in__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_238_in__mono-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u725), _u724)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u726), _u725)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u726), _u724)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_239_in__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_239_in__mono-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u728), _u727)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u729), _u728)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u729), _u727)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_240_set__rev__mp ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_240_set__rev__mp-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u731), _u730)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u730), _u732)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u731), _u732)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_241_set__rev__mp ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_241_set__rev__mp-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u734), _u733)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u733), _u735)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u734), _u735)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_242_set__rev__mp ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_242_set__rev__mp-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u737), _u736)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u736), _u738)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u737), _u738)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_243_set__mp ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_243_set__mp-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u740), _u739)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u741), _u740)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u741), _u739)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_244_set__mp ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_244_set__mp-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u743), _u742)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u744), _u743)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u744), _u742)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_245_set__mp ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_245_set__mp-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u746), _u745)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u747), _u746)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u747), _u745)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_246_subset__trans ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_246_subset__trans-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u749), _u748)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u748), _u750)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u749), _u750)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_247_subset__trans ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_247_subset__trans-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u752), _u751)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u751), _u753)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u752), _u753)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_248_subset__trans ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_248_subset__trans-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u755), _u754)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u754), _u756)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u755), _u756)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_249_equalityE ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_249_equalityE-1, axiom, ( ( _u758 != _u757) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u758), _u757)) )).
% 15.67/15.87 cnf(fact_249_equalityE-2, axiom, ( ( _u758 != _u757) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u757), _u758)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_250_equalityE ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_250_equalityE-1, axiom, ( ( _u760 != _u759) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u760), _u759)) )).
% 15.67/15.87 cnf(fact_250_equalityE-2, axiom, ( ( _u760 != _u759) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u759), _u760)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_251_equalityE ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_251_equalityE-1, axiom, ( ( _u762 != _u761) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u762), _u761)) )).
% 15.67/15.87 cnf(fact_251_equalityE-2, axiom, ( ( _u762 != _u761) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u761), _u762)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_252_mem__def ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_252_mem__def-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u767), _u765)) | hBOOL(hAPP_nat_bool(_u765, _u767)) )).
% 15.67/15.87 cnf(fact_252_mem__def-2, axiom, ( ~hBOOL(hAPP_nat_bool(_u766, _u768)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u768), _u766)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_253_mem__def ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_253_mem__def-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u773), _u771)) | hBOOL(hAPP_a_bool(_u771, _u773)) )).
% 15.67/15.87 cnf(fact_253_mem__def-2, axiom, ( ~hBOOL(hAPP_a_bool(_u772, _u774)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u774), _u772)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_254_mem__def ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_254_mem__def-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u779), _u777)) | hBOOL(hAPP_pname_bool(_u777, _u779)) )).
% 15.67/15.87 cnf(fact_254_mem__def-2, axiom, ( ~hBOOL(hAPP_pname_bool(_u778, _u780)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u780), _u778)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_255_Collect__def ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_255_Collect__def-1, axiom, ( ~is_fun_pname_bool(_u781) | ( collect_pname(_u781) = _u781) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_256_Collect__def ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_256_Collect__def-1, axiom, ( ( collect_fun_nat_bool(_u782) = _u782) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_257_Collect__def ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_257_Collect__def-1, axiom, ( ~is_fun1661590463l_bool(_u783) | ( collec1974731493e_bool(_u783) = _u783) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_258_Collect__def ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_258_Collect__def-1, axiom, ( ~is_fun949378684l_bool(_u784) | ( collect_fun_a_bool(_u784) = _u784) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_259_Collect__def ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_259_Collect__def-1, axiom, ( ( collect_nat(_u785) = _u785) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_260_image__iff ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_260_image__iff-1, axiom, ( ~is_a(_u790) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u790), image_pname_a(_u793, _u791))) | is_pname(skolem7(_u790, _u793, _u791)) )).
% 15.67/15.87 cnf(fact_260_image__iff-2, axiom, ( ~is_a(_u790) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u790), image_pname_a(_u793, _u791))) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem7(_u790, _u793, _u791)), _u791)) )).
% 15.67/15.87 cnf(fact_260_image__iff-3, axiom, ( ~is_a(_u790) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u790), image_pname_a(_u793, _u791))) | ( _u790 = hAPP_pname_a(_u793, skolem7(_u790, _u793, _u791))) )).
% 15.67/15.87 cnf(fact_260_image__iff-4, axiom, ( ~is_a(_u790) | ~is_pname(_u787) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u787), _u792)) | ( _u790 != hAPP_pname_a(_u794, _u787)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u790), image_pname_a(_u794, _u792))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_261_imageI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_261_imageI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u796), _u795)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(_u797, _u796)), image_pname_a(_u797, _u795))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_262_rev__image__eqI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_262_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u799), _u798)) | ( _u801 != hAPP_pname_a(_u800, _u799)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u801), image_pname_a(_u800, _u798))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_263_insert__compr__raw ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_263_insert__compr__raw-1, axiom, ( ( insert_nat(_u803, _u802) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat), _u803)), hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat), _u802)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_264_insert__compr__raw ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_264_insert__compr__raw-1, axiom, ( ( insert_pname(_u805, _u804) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname), _u805)), hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname), _u804)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_265_insert__compr__raw ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_265_insert__compr__raw-1, axiom, ( ( insert_a(_u807, _u806) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a), _u807)), hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a), _u806)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_266_insert__compr__raw ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_266_insert__compr__raw-1, axiom, ( ( insert_fun_nat_bool(_u809, _u808) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool), _u809)), hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool), _u808)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_267_insert__compr__raw ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_267_insert__compr__raw-1, axiom, ( ( insert1325755072e_bool(_u811, _u810) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool), _u811)), hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool), _u810)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_268_insert__compr__raw ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_268_insert__compr__raw-1, axiom, ( ( insert_fun_a_bool(_u813, _u812) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool), _u813)), hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool), _u812)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_269_subset__insertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_269_subset__insertI-1, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u815), insert_nat(_u814, _u815))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_270_subset__insertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_270_subset__insertI-1, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u817), insert_pname(_u816, _u817))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_271_subset__insertI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_271_subset__insertI-1, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u819), insert_a(_u818, _u819))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_272_insert__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_272_insert__subset-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_u827, _u825)), _u823)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u827), _u823)) )).
% 15.67/15.87 cnf(fact_272_insert__subset-2, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_u827, _u825)), _u823)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u825), _u823)) )).
% 15.67/15.87 cnf(fact_272_insert__subset-3, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u828), _u824)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u826), _u824)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_u828, _u826)), _u824)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_273_insert__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_273_insert__subset-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_u836, _u834)), _u832)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u836), _u832)) )).
% 15.67/15.87 cnf(fact_273_insert__subset-2, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_u836, _u834)), _u832)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u834), _u832)) )).
% 15.67/15.87 cnf(fact_273_insert__subset-3, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u837), _u833)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u835), _u833)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_u837, _u835)), _u833)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_274_insert__subset ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_274_insert__subset-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_u845, _u843)), _u841)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u845), _u841)) )).
% 15.67/15.87 cnf(fact_274_insert__subset-2, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_u845, _u843)), _u841)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u843), _u841)) )).
% 15.67/15.87 cnf(fact_274_insert__subset-3, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u846), _u842)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u844), _u842)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_u846, _u844)), _u842)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_275_subset__insert ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_275_subset__insert-1, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u848), _u847)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u847), insert_nat(_u848, _u849))) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u847), _u849)) )).
% 15.67/15.87 cnf(fact_275_subset__insert-2, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u848), _u847)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u847), _u849)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u847), insert_nat(_u848, _u849))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_276_subset__insert ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_276_subset__insert-1, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u851), _u850)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u850), insert_pname(_u851, _u852))) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u850), _u852)) )).
% 15.67/15.87 cnf(fact_276_subset__insert-2, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u851), _u850)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u850), _u852)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u850), insert_pname(_u851, _u852))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_277_subset__insert ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_277_subset__insert-1, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u854), _u853)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u853), insert_a(_u854, _u855))) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u853), _u855)) )).
% 15.67/15.87 cnf(fact_277_subset__insert-2, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u854), _u853)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u853), _u855)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u853), insert_a(_u854, _u855))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_278_subset__insertI2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_278_subset__insertI2-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u857), _u856)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u857), insert_nat(_u858, _u856))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_279_subset__insertI2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_279_subset__insertI2-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u860), _u859)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u860), insert_pname(_u861, _u859))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_280_subset__insertI2 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_280_subset__insertI2-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u863), _u862)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u863), insert_a(_u864, _u862))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_281_insert__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_281_insert__mono-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u866), _u865)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_u867, _u866)), insert_nat(_u867, _u865))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_282_insert__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_282_insert__mono-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u869), _u868)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_u870, _u869)), insert_pname(_u870, _u868))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_283_insert__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_283_insert__mono-1, axiom, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u872), _u871)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_u873, _u872)), insert_a(_u873, _u871))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_284_image__insert ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_284_image__insert-1, axiom, ( ( image_pname_a(_u876, insert_pname(_u875, _u874)) = insert_a(hAPP_pname_a(_u876, _u875), image_pname_a(_u876, _u874))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_285_insert__image ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_285_insert__image-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u878), _u877)) | ( insert_a(hAPP_pname_a(_u879, _u878), image_pname_a(_u879, _u877)) = image_pname_a(_u879, _u877)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_286_subset__image__iff ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_286_subset__image__iff-1, axiom, ( ~is_fun_a_bool(_u884) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u884), image_pname_a(_u887, _u885))) | is_fun_pname_bool(skolem8(_u884, _u887, _u885)) )).
% 15.67/15.87 cnf(fact_286_subset__image__iff-2, axiom, ( ~is_fun_a_bool(_u884) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u884), image_pname_a(_u887, _u885))) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, skolem8(_u884, _u887, _u885)), _u885)) )).
% 15.67/15.87 cnf(fact_286_subset__image__iff-3, axiom, ( ~is_fun_a_bool(_u884) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u884), image_pname_a(_u887, _u885))) | ( _u884 = image_pname_a(_u887, skolem8(_u884, _u887, _u885))) )).
% 15.67/15.87 cnf(fact_286_subset__image__iff-4, axiom, ( ~is_fun_a_bool(_u884) | ~is_fun_pname_bool(_u881) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u881), _u886)) | ( _u884 != image_pname_a(_u888, _u881)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u884), image_pname_a(_u888, _u886))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_287_image__mono ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_287_image__mono-1, axiom, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u890), _u889)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, image_pname_a(_u891, _u890)), image_pname_a(_u891, _u889))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_288_imageE ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_288_imageE-1, axiom, ( ~is_a(_u895) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u895), image_pname_a(_u894, _u893))) | is_pname(skolem9(_u895, _u894, _u893)) )).
% 15.67/15.87 cnf(fact_288_imageE-2, axiom, ( ~is_a(_u895) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u895), image_pname_a(_u894, _u893))) | ( _u895 = hAPP_pname_a(_u894, skolem9(_u895, _u894, _u893))) )).
% 15.67/15.87 cnf(fact_288_imageE-3, axiom, ( ~is_a(_u895) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u895), image_pname_a(_u894, _u893))) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem9(_u895, _u894, _u893)), _u893)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_289_subsetI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_289_subsetI-1, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u897), _u898)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, skolem10(_u898, _u897)), _u897)) )).
% 15.67/15.87 cnf(fact_289_subsetI-2, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u897), _u898)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, skolem10(_u898, _u897)), _u898)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_290_subsetI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_290_subsetI-1, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u900), _u901)) | is_a(skolem11(_u901, _u900)) )).
% 15.67/15.87 cnf(fact_290_subsetI-2, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u900), _u901)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, skolem11(_u901, _u900)), _u900)) )).
% 15.67/15.87 cnf(fact_290_subsetI-3, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u900), _u901)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, skolem11(_u901, _u900)), _u901)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_291_subsetI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_291_subsetI-1, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u903), _u904)) | is_pname(skolem12(_u904, _u903)) )).
% 15.67/15.87 cnf(fact_291_subsetI-2, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u903), _u904)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem12(_u904, _u903)), _u903)) )).
% 15.67/15.87 cnf(fact_291_subsetI-3, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u903), _u904)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem12(_u904, _u903)), _u904)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_292_zero__induct__lemma ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_292_zero__induct__lemma-1, axiom, ( ~hBOOL(hAPP_nat_bool(_u907, _u906)) | hBOOL(hAPP_nat_bool(_u907, hAPP_nat_nat(minus_minus_nat(_u906), _u908))) | hBOOL(hAPP_nat_bool(_u907, hAPP_nat_nat(suc, skolem13(_u908, _u907, _u906)))) )).
% 15.67/15.87 cnf(fact_292_zero__induct__lemma-2, axiom, ( ~hBOOL(hAPP_nat_bool(_u907, _u906)) | hBOOL(hAPP_nat_bool(_u907, hAPP_nat_nat(minus_minus_nat(_u906), _u908))) | ~hBOOL(hAPP_nat_bool(_u907, skolem13(_u908, _u907, _u906))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_293_Suc__le__D ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_293_Suc__le__D-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u911)), _u910)) | ( _u910 = hAPP_nat_nat(suc, skolem14(_u911, _u910))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_294_image__subsetI ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_294_image__subsetI-1, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, image_pname_a(_u915, _u913)), _u914)) | is_pname(skolem15(_u915, _u914, _u913)) )).
% 15.67/15.87 cnf(fact_294_image__subsetI-2, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, image_pname_a(_u915, _u913)), _u914)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem15(_u915, _u914, _u913)), _u913)) )).
% 15.67/15.87 cnf(fact_294_image__subsetI-3, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, image_pname_a(_u915, _u913)), _u914)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(_u915, skolem15(_u915, _u914, _u913))), _u914)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_295_order__refl ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_295_order__refl-1, axiom, ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u916), _u916)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_296_order__refl ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_296_order__refl-1, axiom, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u917), _u917)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_297_order__refl ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_297_order__refl-1, axiom, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u918), _u918)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_298_order__refl ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_298_order__refl-1, axiom, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u919), _u919)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: fact_299_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 15.67/15.87 cnf(fact_299_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u925)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u920), _u925)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u920), skolem16(_u925))) )).
% 15.67/15.87 cnf(fact_299_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u926)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, skolem17(_u926, _u923)), _u926)) )).
% 15.67/15.87 cnf(fact_299_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u926)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, skolem17(_u926, _u923)), _u923)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fNot_1_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fNot_1_1_U-1, axiom, ( ~hBOOL(hAPP_bool_bool(fNot, _u927)) | ~hBOOL(_u927) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fNot_2_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fNot_2_1_U-1, axiom, ( hBOOL(_u928) | hBOOL(hAPP_bool_bool(fNot, _u928)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fconj_1_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fconj_1_1_U-1, axiom, ( ~hBOOL(_u930) | ~hBOOL(_u929) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj, _u929), _u930)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fconj_2_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fconj_2_1_U-1, axiom, ( hBOOL(_u932) | ~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj, _u932), _u931)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fconj_3_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fconj_3_1_U-1, axiom, ( ~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj, _u934), _u933)) | hBOOL(_u933) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fdisj_1_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fdisj_1_1_U-1, axiom, ( ~hBOOL(_u935) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj, _u935), _u936)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fdisj_2_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fdisj_2_1_U-1, axiom, ( ~hBOOL(_u937) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj, _u938), _u937)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fdisj_3_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fdisj_3_1_U-1, axiom, ( hBOOL(_u940) | ~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj, _u940), _u939)) | hBOOL(_u939) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fimplies_1_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fimplies_1_1_U-1, axiom, ( hBOOL(_u941) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies, _u941), _u942)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fimplies_2_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fimplies_2_1_U-1, axiom, ( ~hBOOL(_u943) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies, _u944), _u943)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fimplies_3_1_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fimplies_3_1_U-1, axiom, ( ~hBOOL(_u946) | ~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies, _u946), _u945)) | hBOOL(_u945) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_1_1_fequal_000t__a_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_1_1_fequal_000t__a_T-1, axiom, ( ~is_a(_u948) | ~is_a(_u947) | ~hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a, _u948), _u947)) | ( _u948 = _u947) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_2_1_fequal_000t__a_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_2_1_fequal_000t__a_T-1, axiom, ( ( _u950 != _u949) | hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a, _u950), _u949)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_1_1_fequal_000tc__Nat__Onat_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_1_1_fequal_000tc__Nat__Onat_T-1, axiom, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat, _u952), _u951)) | ( _u952 = _u951) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_2_1_fequal_000tc__Nat__Onat_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_2_1_fequal_000tc__Nat__Onat_T-1, axiom, ( ( _u954 != _u953) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat, _u954), _u953)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_1_1_fequal_000tc__Com__Opname_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_1_1_fequal_000tc__Com__Opname_T-1, axiom, ( ~is_pname(_u956) | ~is_pname(_u955) | ~hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname, _u956), _u955)) | ( _u956 = _u955) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_2_1_fequal_000tc__Com__Opname_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_2_1_fequal_000tc__Com__Opname_T-1, axiom, ( ( _u958 != _u957) | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname, _u958), _u957)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000t__a_000t__a_000tc__HOL__Obool_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000t__a_000t__a_000tc__HOL__Obool_U-1, axiom, ( ( hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(_u961), _u960), _u959) = hAPP_a_bool(hAPP_a_fun_a_bool(_u961, _u959), _u960)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_1_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_1_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T-1, axiom, ( ~is_fun_a_bool(_u963) | ~is_fun_a_bool(_u962) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool, _u963), _u962)) | ( _u963 = _u962) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_2_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_2_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T-1, axiom, ( ( _u965 != _u964) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool, _u965), _u964)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a_U-1, axiom, ( ( hAPP_a_bool(cOMBB_bool_bool_a(_u968, _u967), _u966) = hAPP_bool_bool(_u968, hAPP_a_bool(_u967, _u966))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBS_1_1_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBS_1_1_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool_U-1, axiom, ( ( hAPP_a_bool(cOMBS_a_bool_bool(_u971, _u970), _u969) = hAPP_bool_bool(hAPP_a_fun_bool_bool(_u971, _u969), hAPP_a_bool(_u970, _u969))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__Com__Opname_000t__a_000tc__HOL__Obool_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__Com__Opname_000t__a_000tc__HOL__Obool_U-1, axiom, ( ( hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(_u974), _u973), _u972) = hAPP_a_bool(hAPP_p1534023578a_bool(_u974, _u972), _u973)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_1_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_1_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T-1, axiom, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool, _u976), _u975)) | ( _u976 = _u975) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_2_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_2_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T-1, axiom, ( ( _u978 != _u977) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool, _u978), _u977)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T-1, axiom, ( ~is_fun_pname_bool(_u980) | ~is_fun_pname_bool(_u979) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool, _u980), _u979)) | ( _u980 = _u979) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T-1, axiom, ( ( _u982 != _u981) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool, _u982), _u981)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U-1, axiom, ( ( hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(_u985), _u984), _u983) = hAPP_nat_bool(hAPP_n1699378549t_bool(_u985, _u983), _u984)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U-1, axiom, ( ( hAPP_nat_bool(cOMBB_bool_bool_nat(_u988, _u987), _u986) = hAPP_bool_bool(_u988, hAPP_nat_bool(_u987, _u986))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U-1, axiom, ( ( hAPP_nat_bool(cOMBS_nat_bool_bool(_u991, _u990), _u989) = hAPP_bool_bool(hAPP_n1006566506l_bool(_u991, _u989), hAPP_nat_bool(_u990, _u989))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U-1, axiom, ( ( hAPP_pname_bool(cOMBB_647938656_pname(_u994, _u993), _u992) = hAPP_bool_bool(_u994, hAPP_pname_bool(_u993, _u992))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U-1, axiom, ( ( hAPP_pname_bool(cOMBS_568398431l_bool(_u997, _u996), _u995) = hAPP_bool_bool(hAPP_p393069232l_bool(_u997, _u995), hAPP_pname_bool(_u996, _u995))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U-1, axiom, ( ( hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(_u1000), _u999), _u998) = hAPP_pname_bool(hAPP_p61793385e_bool(_u1000, _u998), _u999)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo-1, axiom, ( ( hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(_u1003), _u1002), _u1001) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(_u1003, _u1001), _u1002)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opna ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opna-1, axiom, ( ( hAPP_p1534023578a_bool(cOMBB_1897541054_pname(_u1006, _u1005), _u1004) = hAPP_a_fun_a_bool(_u1006, hAPP_pname_a(_u1005, _u1004))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__H ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__H-1, axiom, ( ( hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(_u1009, _u1008), _u1007) = hAPP_bool_bool(_u1009, hAPP_fun_a_bool_bool(_u1008, _u1007))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo-1, axiom, ( ( hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(_u1012, _u1011), _u1010) = hAPP_b589554111l_bool(_u1012, hAPP_a_bool(_u1011, _u1010))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBS_1_1_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc_ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBS_1_1_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc_-1, axiom, ( ( hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(_u1015, _u1014), _u1013) = hAPP_bool_bool(hAPP_f198738859l_bool(_u1015, _u1013), hAPP_fun_a_bool_bool(_u1014, _u1013))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_-1, axiom, ( ( hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(_u1018), _u1017), _u1016) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(_u1018, _u1016), _u1017)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Nat__On ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Nat__On-1, axiom, ( ( hAPP_f54304608l_bool(cOMBB_238756964t_bool(_u1021, _u1020), _u1019) = hAPP_bool_bool(_u1021, hAPP_f54304608l_bool(_u1020, _u1019))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_006 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_006-1, axiom, ( ( hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(_u1024, _u1023), _u1022) = hAPP_b589554111l_bool(_u1024, hAPP_nat_bool(_u1023, _u1022))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo-1, axiom, ( ( hAPP_f54304608l_bool(cOMBS_1187019125l_bool(_u1027, _u1026), _u1025) = hAPP_bool_bool(hAPP_f1748468828l_bool(_u1027, _u1025), hAPP_f54304608l_bool(_u1026, _u1025))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op-1, axiom, ( ( hAPP_f1664156314l_bool(cOMBB_307249310e_bool(_u1030, _u1029), _u1028) = hAPP_bool_bool(_u1030, hAPP_f1664156314l_bool(_u1029, _u1028))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_007 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_007-1, axiom, ( ( hAPP_p393069232l_bool(cOMBB_675860798_pname(_u1033, _u1032), _u1031) = hAPP_b589554111l_bool(_u1033, hAPP_pname_bool(_u1032, _u1031))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O-1, axiom, ( ( hAPP_f1664156314l_bool(cOMBS_350070575l_bool(_u1036, _u1035), _u1034) = hAPP_bool_bool(hAPP_f1476298914l_bool(_u1036, _u1034), hAPP_f1664156314l_bool(_u1035, _u1034))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob-1, axiom, ( ( hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(_u1039), _u1038), _u1037) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(_u1039, _u1037), _u1038)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HO ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HO-1, axiom, ( ( hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(_u1042), _u1041), _u1040) = hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(_u1042, _u1040), _u1041)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_008 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_008-1, axiom, ( ( hAPP_f198738859l_bool(cOMBB_338059395a_bool(_u1045, _u1044), _u1043) = hAPP_b589554111l_bool(_u1045, hAPP_fun_a_bool_bool(_u1044, _u1043))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_-1, axiom, ( ( hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(_u1048), _u1047), _u1046) = hAPP_f54304608l_bool(hAPP_f103356543l_bool(_u1048, _u1046), _u1047)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_009 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_009-1, axiom, ( ( hAPP_f1748468828l_bool(cOMBB_444170502t_bool(_u1051, _u1050), _u1049) = hAPP_b589554111l_bool(_u1051, hAPP_f54304608l_bool(_u1050, _u1049))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010-1, axiom, ( ( hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(_u1054, _u1053), _u1052) = hAPP_b589554111l_bool(_u1054, hAPP_f1664156314l_bool(_u1053, _u1052))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It-1, axiom, ( ( hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(_u1057), _u1056), _u1055) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(_u1057, _u1055), _u1056)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__-1, axiom, ( ( hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(_u1060), _u1059), _u1058) = hAPP_f621171935l_bool(hAPP_f285962445l_bool(_u1060, _u1058), _u1059)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__011 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__011-1, axiom, ( ( hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(_u1063), _u1062), _u1061) = hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(_u1063, _u1061), _u1062)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_012 ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_012-1, axiom, ( ( hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(_u1066), _u1065), _u1064) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(_u1066, _u1064), _u1065)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool-1, axiom, ( ( hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(_u1069), _u1068), _u1067) = hAPP_f621171935l_bool(hAPP_f1434722111l_bool(_u1069, _u1067), _u1068)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__H ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__H-1, axiom, ( ( hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(_u1072), _u1071), _u1070) = hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(_u1072, _u1070), _u1071)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_ ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_-1, axiom, ( ( hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(_u1075), _u1074), _u1073) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(_u1075, _u1073), _u1074)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__H ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__H-1, axiom, ( ( hAPP_f292226953l_bool(hAPP_f1050622307l_bool(cOMBC_636888218l_bool(_u1078), _u1077), _u1076) = hAPP_f292226953l_bool(hAPP_f1050622307l_bool(_u1078, _u1076), _u1077)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool-1, axiom, ( ( hAPP_f937997336l_bool(hAPP_f760187903l_bool(cOMBC_1269652216l_bool(_u1081), _u1080), _u1079) = hAPP_f937997336l_bool(hAPP_f760187903l_bool(_u1081, _u1079), _u1080)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo ( axiom ) converted to clauses:
% 15.67/15.87 cnf(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo-1, axiom, ( ( hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(_u1084), _u1083), _u1082) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(_u1084, _u1082), _u1083)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(conj_0-1, hypothesis, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, u)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: conj_1 ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(conj_1-1, hypothesis, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), image_pname_a(mgt_call, u))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: conj_2 ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(conj_2-1, hypothesis, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, na)), hAPP_fun_a_bool_nat(finite_card_a, image_pname_a(mgt_call, u)))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: conj_3 ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(conj_3-1, hypothesis, ( ( hAPP_fun_a_bool_nat(finite_card_a, g) = hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a, image_pname_a(mgt_call, u))), hAPP_nat_nat(suc, na))) )).
% 15.67/15.87
% 15.67/15.87 % Formula: conj_4 ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(conj_4-1, hypothesis, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, pn), u)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: conj_5 ( hypothesis ) converted to clauses:
% 15.67/15.87 cnf(conj_5-1, hypothesis, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(mgt_call, pn)), g)) )).
% 15.67/15.87
% 15.67/15.87 % Formula: conj_6 ( conjecture ) (definitionally) converted to clauses:
% 15.67/15.87 cnf(conj_6-1, negated_conjecture, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(hAPP_pname_a(mgt_call, pn), g)), image_pname_a(mgt_call, u))) )).
% 15.67/15.87
% 15.67/15.87 % Problem matrix:
% 15.67/15.87 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 15.67/15.87 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 15.67/15.87 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 15.67/15.87 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_bool_bool_a(__eqx_0, __eqx_1) = cOMBB_bool_bool_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_647938656_pname(__eqx_0, __eqx_1) = cOMBB_647938656_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_2140588453a_bool(__eqx_0, __eqx_1) = cOMBB_2140588453a_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_307249310e_bool(__eqx_0, __eqx_1) = cOMBB_307249310e_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBS_a_bool_bool(__eqx_0, __eqx_1) = cOMBS_a_bool_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBS_568398431l_bool(__eqx_0, __eqx_1) = cOMBS_568398431l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBS_1035972772l_bool(__eqx_0, __eqx_1) = cOMBS_1035972772l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBS_350070575l_bool(__eqx_0, __eqx_1) = cOMBS_350070575l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( undefined_a(__eqx_0) = undefined_a(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( undefined_pname(__eqx_0) = undefined_pname(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( fun(__eqx_0, __eqx_1) = fun(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( undefined_fun_a_bool(__eqx_0) = undefined_fun_a_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( undefi17486888e_bool(__eqx_0) = undefi17486888e_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( undefi1699038445l_bool(__eqx_0) = undefi1699038445l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( undefi64961550l_bool(__eqx_0) = undefi64961550l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( collect_a(__eqx_0) = collect_a(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( collect_pname(__eqx_0) = collect_pname(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( collect_fun_a_bool(__eqx_0) = collect_fun_a_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( collec1974731493e_bool(__eqx_0) = collec1974731493e_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_a_a(__eqx_0, __eqx_1) = image_a_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_a_pname(__eqx_0, __eqx_1) = image_a_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_pname_a(__eqx_0, __eqx_1) = image_pname_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_pname_pname(__eqx_0, __eqx_1) = image_pname_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_112932426a_bool(__eqx_0, __eqx_1) = image_112932426a_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_47868345e_bool(__eqx_0, __eqx_1) = image_47868345e_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_nat_a(__eqx_0, __eqx_1) = image_nat_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_nat_pname(__eqx_0, __eqx_1) = image_nat_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_nat_fun_a_bool(__eqx_0, __eqx_1) = image_nat_fun_a_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1655916159e_bool(__eqx_0, __eqx_1) = image_1655916159e_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_fun_a_bool_a(__eqx_0, __eqx_1) = image_fun_a_bool_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1854862208_pname(__eqx_0, __eqx_1) = image_1854862208_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_876012084bool_a(__eqx_0, __eqx_1) = image_876012084bool_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1283814551_pname(__eqx_0, __eqx_1) = image_1283814551_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_fun_nat_bool_a(__eqx_0, __eqx_1) = image_fun_nat_bool_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1921560913_pname(__eqx_0, __eqx_1) = image_1921560913_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_573985017bool_a(__eqx_0, __eqx_1) = image_573985017bool_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_990671762_pname(__eqx_0, __eqx_1) = image_990671762_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_349102846bool_a(__eqx_0, __eqx_1) = image_349102846bool_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1705983821_pname(__eqx_0, __eqx_1) = image_1705983821_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_526090948bool_a(__eqx_0, __eqx_1) = image_526090948bool_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1604018183_pname(__eqx_0, __eqx_1) = image_1604018183_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert_a(__eqx_0, __eqx_1) = insert_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert_pname(__eqx_0, __eqx_1) = insert_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert_fun_a_bool(__eqx_0, __eqx_1) = insert_fun_a_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert1325755072e_bool(__eqx_0, __eqx_1) = insert1325755072e_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_a_bool(__eqx_0, __eqx_1) = hAPP_a_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_a_fun_a_bool(__eqx_0, __eqx_1) = hAPP_a_fun_a_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_a93125764e_bool(__eqx_0, __eqx_1) = hAPP_a93125764e_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_a85458249l_bool(__eqx_0, __eqx_1) = hAPP_a85458249l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_pname_a(__eqx_0, __eqx_1) = hAPP_pname_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_pname_bool(__eqx_0, __eqx_1) = hAPP_pname_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_p1534023578a_bool(__eqx_0, __eqx_1) = hAPP_p1534023578a_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_p61793385e_bool(__eqx_0, __eqx_1) = hAPP_p61793385e_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_p338031245l_bool(__eqx_0, __eqx_1) = hAPP_p338031245l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_bool_bool(__eqx_0, __eqx_1) = hAPP_bool_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_nat_bool(__eqx_0, __eqx_1) = hAPP_nat_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_nat_fun_a_bool(__eqx_0, __eqx_1) = hAPP_nat_fun_a_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_n1025906991e_bool(__eqx_0, __eqx_1) = hAPP_n1025906991e_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_fun_a_bool_bool(__eqx_0, __eqx_1) = hAPP_fun_a_bool_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f2050579477a_bool(__eqx_0, __eqx_1) = hAPP_f2050579477a_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1631501043l_bool(__eqx_0, __eqx_1) = hAPP_f1631501043l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1664156314l_bool(__eqx_0, __eqx_1) = hAPP_f1664156314l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f759274231e_bool(__eqx_0, __eqx_1) = hAPP_f759274231e_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f434788991l_bool(__eqx_0, __eqx_1) = hAPP_f434788991l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f54304608l_bool(__eqx_0, __eqx_1) = hAPP_f54304608l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f621171935l_bool(__eqx_0, __eqx_1) = hAPP_f621171935l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f2117159681l_bool(__eqx_0, __eqx_1) = hAPP_f2117159681l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1935102916l_bool(__eqx_0, __eqx_1) = hAPP_f1935102916l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f559147733l_bool(__eqx_0, __eqx_1) = hAPP_f559147733l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1637334154l_bool(__eqx_0, __eqx_1) = hAPP_f1637334154l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f292226953l_bool(__eqx_0, __eqx_1) = hAPP_f292226953l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f389811538l_bool(__eqx_0, __eqx_1) = hAPP_f389811538l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f937997336l_bool(__eqx_0, __eqx_1) = hAPP_f937997336l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1363661463l_bool(__eqx_0, __eqx_1) = hAPP_f1363661463l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f595608956l_bool(__eqx_0, __eqx_1) = hAPP_f595608956l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1295398978l_bool(__eqx_0, __eqx_1) = hAPP_f1295398978l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( p(__eqx_0) = p(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_1693257480l_bool(__eqx_0) = cOMBC_1693257480l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f103356543l_bool(__eqx_0, __eqx_1) = hAPP_f103356543l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( collect_fun_nat_bool(__eqx_0) = collect_fun_nat_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_1284144636l_bool(__eqx_0) = cOMBC_1284144636l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_1732670874l_bool(__eqx_0) = cOMBC_1732670874l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_1269652216l_bool(__eqx_0) = cOMBC_1269652216l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f760187903l_bool(__eqx_0, __eqx_1) = hAPP_f760187903l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( collec1874991203l_bool(__eqx_0) = collec1874991203l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_336095980l_bool(__eqx_0) = cOMBC_336095980l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1759205631l_bool(__eqx_0, __eqx_1) = hAPP_f1759205631l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( collec792590109l_bool(__eqx_0) = collec792590109l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_636888218l_bool(__eqx_0) = cOMBC_636888218l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1050622307l_bool(__eqx_0, __eqx_1) = hAPP_f1050622307l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( collec1635217238l_bool(__eqx_0) = collec1635217238l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_331553030l_bool(__eqx_0) = cOMBC_331553030l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1434722111l_bool(__eqx_0, __eqx_1) = hAPP_f1434722111l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( collec707592106l_bool(__eqx_0) = collec707592106l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_7971162l_bool(__eqx_0) = cOMBC_7971162l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f510955609l_bool(__eqx_0, __eqx_1) = hAPP_f510955609l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( collec1613912337l_bool(__eqx_0) = collec1613912337l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_595898202l_bool(__eqx_0) = cOMBC_595898202l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1772781669l_bool(__eqx_0, __eqx_1) = hAPP_f1772781669l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( collec1015864663l_bool(__eqx_0) = collec1015864663l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_2089570637ol_nat(__eqx_0, __eqx_1) = image_2089570637ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1079571347ol_nat(__eqx_0, __eqx_1) = image_1079571347ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1802975832ol_nat(__eqx_0, __eqx_1) = image_1802975832ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_fun_a_bool_nat(__eqx_0, __eqx_1) = image_fun_a_bool_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1551609309ol_nat(__eqx_0, __eqx_1) = image_1551609309ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_496248727ol_nat(__eqx_0, __eqx_1) = image_496248727ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_a_nat(__eqx_0, __eqx_1) = image_a_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1607900221l_bool(__eqx_0, __eqx_1) = image_1607900221l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1874789623l_bool(__eqx_0, __eqx_1) = image_1874789623l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1208015684l_bool(__eqx_0, __eqx_1) = image_1208015684l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_26036933t_bool(__eqx_0, __eqx_1) = image_26036933t_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1154884483l_bool(__eqx_0, __eqx_1) = image_1154884483l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1642285373l_bool(__eqx_0, __eqx_1) = image_1642285373l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_1420695166l_bool(__eqx_0, __eqx_1) = image_1420695166l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_2129980159t_bool(__eqx_0, __eqx_1) = image_2129980159t_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image_pname_nat(__eqx_0, __eqx_1) = image_pname_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert_nat(__eqx_0, __eqx_1) = insert_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert2003652156l_bool(__eqx_0, __eqx_1) = insert2003652156l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert1117693814l_bool(__eqx_0, __eqx_1) = insert1117693814l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert1457093509l_bool(__eqx_0, __eqx_1) = insert1457093509l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( insert_fun_nat_bool(__eqx_0, __eqx_1) = insert_fun_nat_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f22106695ol_nat(__eqx_0, __eqx_1) = hAPP_f22106695ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_n1699378549t_bool(__eqx_0, __eqx_1) = hAPP_n1699378549t_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f921600141ol_nat(__eqx_0, __eqx_1) = hAPP_f921600141ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_fun_a_bool_nat(__eqx_0, __eqx_1) = hAPP_fun_a_bool_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f696928925ol_nat(__eqx_0, __eqx_1) = hAPP_f696928925ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f55526627ol_nat(__eqx_0, __eqx_1) = hAPP_f55526627ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f2009550088ol_nat(__eqx_0, __eqx_1) = hAPP_f2009550088ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1690079119ol_nat(__eqx_0, __eqx_1) = hAPP_f1690079119ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f98387925ol_nat(__eqx_0, __eqx_1) = hAPP_f98387925ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1253658590ol_nat(__eqx_0, __eqx_1) = hAPP_f1253658590ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1951378235l_bool(__eqx_0, __eqx_1) = hAPP_f1951378235l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_nat_nat(__eqx_0, __eqx_1) = hAPP_nat_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f556039215l_bool(__eqx_0, __eqx_1) = hAPP_f556039215l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f285962445l_bool(__eqx_0, __eqx_1) = hAPP_f285962445l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_n215258509l_bool(__eqx_0, __eqx_1) = hAPP_n215258509l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_444170502t_bool(__eqx_0, __eqx_1) = cOMBB_444170502t_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBS_1187019125l_bool(__eqx_0, __eqx_1) = cOMBS_1187019125l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_2095475776e_bool(__eqx_0, __eqx_1) = cOMBB_2095475776e_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_338059395a_bool(__eqx_0, __eqx_1) = cOMBB_338059395a_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_1972296269bool_a(__eqx_0, __eqx_1) = cOMBB_1972296269bool_a(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_675860798_pname(__eqx_0, __eqx_1) = cOMBB_675860798_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( collect_nat(__eqx_0) = collect_nat(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_1015721476ol_nat(__eqx_0, __eqx_1) = cOMBB_1015721476ol_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-147, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBS_nat_bool_bool(__eqx_0, __eqx_1) = cOMBS_nat_bool_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( minus_minus_nat(__eqx_0) = minus_minus_nat(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-149, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_nat_nat_bool(__eqx_0) = cOMBC_nat_nat_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-150, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_1058051404l_bool(__eqx_0) = cOMBC_1058051404l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-151, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_1897541054_pname(__eqx_0, __eqx_1) = cOMBB_1897541054_pname(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-152, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_pname_a_bool(__eqx_0) = cOMBC_pname_a_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-153, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_226598744l_bool(__eqx_0) = cOMBC_226598744l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f800510211t_bool(__eqx_0, __eqx_1) = hAPP_f800510211t_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-155, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_1149511130e_bool(__eqx_0) = cOMBC_1149511130e_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_a_a_bool(__eqx_0) = cOMBC_a_a_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_1355376034l_bool(__eqx_0) = cOMBC_1355376034l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_1245412066l_bool(__eqx_0) = cOMBC_1245412066l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1246832597l_bool(__eqx_0, __eqx_1) = hAPP_f1246832597l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_1988546018l_bool(__eqx_0) = cOMBC_1988546018l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-161, plain, ( ( __eqx_0 != __eqy_0) | ( cOMBC_1880041174l_bool(__eqx_0) = cOMBC_1880041174l_bool(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_bool_bool_nat(__eqx_0, __eqx_1) = cOMBB_bool_bool_nat(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cOMBB_238756964t_bool(__eqx_0, __eqx_1) = cOMBB_238756964t_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_b589554111l_bool(__eqx_0, __eqx_1) = hAPP_b589554111l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-165, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_a_fun_bool_bool(__eqx_0, __eqx_1) = hAPP_a_fun_bool_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_n1006566506l_bool(__eqx_0, __eqx_1) = hAPP_n1006566506l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_p393069232l_bool(__eqx_0, __eqx_1) = hAPP_p393069232l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f198738859l_bool(__eqx_0, __eqx_1) = hAPP_f198738859l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1748468828l_bool(__eqx_0, __eqx_1) = hAPP_f1748468828l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP_f1476298914l_bool(__eqx_0, __eqx_1) = hAPP_f1476298914l_bool(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem1(__eqx_0, __eqx_1, __eqx_2) = skolem1(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.67/15.87 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem2(__eqx_0, __eqx_1, __eqx_2) = skolem2(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.67/15.87 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem3(__eqx_0, __eqx_1, __eqx_2) = skolem3(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.67/15.87 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem4(__eqx_0, __eqx_1, __eqx_2) = skolem4(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.67/15.87 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem5(__eqx_0, __eqx_1, __eqx_2) = skolem5(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.67/15.87 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-177, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem7(__eqx_0, __eqx_1, __eqx_2) = skolem7(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.67/15.87 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.67/15.87 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem9(__eqx_0, __eqx_1, __eqx_2) = skolem9(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.67/15.87 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-182, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-183, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem13(__eqx_0, __eqx_1, __eqx_2) = skolem13(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.67/15.87 cnf(matrix-184, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-185, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem15(__eqx_0, __eqx_1, __eqx_2) = skolem15(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.67/15.87 cnf(matrix-186, plain, ( ( __eqx_0 != __eqy_0) | ( skolem16(__eqx_0) = skolem16(__eqy_0)) )).
% 15.67/15.87 cnf(matrix-187, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 15.67/15.87 cnf(matrix-188, plain, ( ( __eqx_0 != __eqy_0) | ~is_fun_a_bool(__eqx_0) | is_fun_a_bool(__eqy_0) )).
% 15.67/15.87 cnf(matrix-189, plain, ( ( __eqx_0 != __eqy_0) | ~is_fun_pname_bool(__eqx_0) | is_fun_pname_bool(__eqy_0) )).
% 15.67/15.87 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ~is_fun949378684l_bool(__eqx_0) | is_fun949378684l_bool(__eqy_0) )).
% 15.67/15.87 cnf(matrix-191, plain, ( ( __eqx_0 != __eqy_0) | ~is_fun1661590463l_bool(__eqx_0) | is_fun1661590463l_bool(__eqy_0) )).
% 15.67/15.87 cnf(matrix-192, plain, ( ( __eqx_0 != __eqy_0) | ~is_a(__eqx_0) | is_a(__eqy_0) )).
% 15.67/15.87 cnf(matrix-193, plain, ( ( __eqx_0 != __eqy_0) | ~is_pname(__eqx_0) | is_pname(__eqy_0) )).
% 15.67/15.87 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ~is_bool(__eqx_0) | is_bool(__eqy_0) )).
% 15.67/15.87 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 15.67/15.87 cnf(matrix-196, plain, ( ~is_fun_a_bool(_u0) | is_fun_a_bool(cOMBB_bool_bool_a(_u1, _u0)) )).
% 15.67/15.87 cnf(matrix-197, plain, ( ~is_fun_pname_bool(_u2) | is_fun_pname_bool(cOMBB_647938656_pname(_u3, _u2)) )).
% 15.67/15.87 cnf(matrix-198, plain, ( ~is_fun949378684l_bool(_u4) | is_fun949378684l_bool(cOMBB_2140588453a_bool(_u5, _u4)) )).
% 15.67/15.87 cnf(matrix-199, plain, ( ~is_fun1661590463l_bool(_u6) | is_fun1661590463l_bool(cOMBB_307249310e_bool(_u7, _u6)) )).
% 15.67/15.87 cnf(matrix-200, plain, ( ~is_fun_a_bool(_u8) | is_fun_a_bool(cOMBS_a_bool_bool(_u9, _u8)) )).
% 15.67/15.87 cnf(matrix-201, plain, ( ~is_fun_pname_bool(_u10) | is_fun_pname_bool(cOMBS_568398431l_bool(_u11, _u10)) )).
% 15.67/15.87 cnf(matrix-202, plain, ( ~is_fun949378684l_bool(_u12) | is_fun949378684l_bool(cOMBS_1035972772l_bool(_u13, _u12)) )).
% 15.67/15.87 cnf(matrix-203, plain, ( ~is_fun1661590463l_bool(_u14) | is_fun1661590463l_bool(cOMBS_350070575l_bool(_u15, _u14)) )).
% 15.67/15.87 cnf(matrix-204, plain, ( is_fun949378684l_bool(finite_finite_a) )).
% 15.67/15.87 cnf(matrix-205, plain, ( is_fun1661590463l_bool(finite_finite_pname) )).
% 15.67/15.87 cnf(matrix-206, plain, ( is_a(undefined_a(x_a)) )).
% 15.67/15.87 cnf(matrix-207, plain, ( is_pname(undefined_pname(pname)) )).
% 15.67/15.87 cnf(matrix-208, plain, ( is_fun_a_bool(undefined_fun_a_bool(fun(x_a, bool))) )).
% 15.67/15.87 cnf(matrix-209, plain, ( is_fun_pname_bool(undefi17486888e_bool(fun(pname, bool))) )).
% 15.67/15.87 cnf(matrix-210, plain, ( is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a, bool), bool))) )).
% 15.67/15.87 cnf(matrix-211, plain, ( is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname, bool), bool))) )).
% 15.67/15.87 cnf(matrix-212, plain, ( ~is_fun_a_bool(_u16) | is_fun_a_bool(collect_a(_u16)) )).
% 15.67/15.87 cnf(matrix-213, plain, ( ~is_fun_pname_bool(_u17) | is_fun_pname_bool(collect_pname(_u17)) )).
% 15.67/15.87 cnf(matrix-214, plain, ( ~is_fun949378684l_bool(_u18) | is_fun949378684l_bool(collect_fun_a_bool(_u18)) )).
% 15.67/15.87 cnf(matrix-215, plain, ( ~is_fun1661590463l_bool(_u19) | is_fun1661590463l_bool(collec1974731493e_bool(_u19)) )).
% 15.67/15.87 cnf(matrix-216, plain, ( ~is_fun_a_bool(_u20) | is_fun_a_bool(image_a_a(_u21, _u20)) )).
% 15.67/15.87 cnf(matrix-217, plain, ( ~is_fun_a_bool(_u22) | is_fun_pname_bool(image_a_pname(_u23, _u22)) )).
% 15.67/15.87 cnf(matrix-218, plain, ( ~is_fun_pname_bool(_u24) | is_fun_a_bool(image_pname_a(_u25, _u24)) )).
% 15.67/15.87 cnf(matrix-219, plain, ( ~is_fun_pname_bool(_u26) | is_fun_pname_bool(image_pname_pname(_u27, _u26)) )).
% 15.67/15.87 cnf(matrix-220, plain, ( ~is_fun_pname_bool(_u28) | is_fun949378684l_bool(image_112932426a_bool(_u29, _u28)) )).
% 15.67/15.87 cnf(matrix-221, plain, ( ~is_fun_pname_bool(_u30) | is_fun1661590463l_bool(image_47868345e_bool(_u31, _u30)) )).
% 15.67/15.87 cnf(matrix-222, plain, ( is_fun_a_bool(image_nat_a(_u33, _u32)) )).
% 15.67/15.87 cnf(matrix-223, plain, ( is_fun_pname_bool(image_nat_pname(_u35, _u34)) )).
% 15.67/15.87 cnf(matrix-224, plain, ( is_fun949378684l_bool(image_nat_fun_a_bool(_u37, _u36)) )).
% 15.67/15.87 cnf(matrix-225, plain, ( is_fun1661590463l_bool(image_1655916159e_bool(_u39, _u38)) )).
% 15.67/15.87 cnf(matrix-226, plain, ( ~is_fun949378684l_bool(_u40) | is_fun_a_bool(image_fun_a_bool_a(_u41, _u40)) )).
% 15.67/15.87 cnf(matrix-227, plain, ( ~is_fun949378684l_bool(_u42) | is_fun_pname_bool(image_1854862208_pname(_u43, _u42)) )).
% 15.67/15.87 cnf(matrix-228, plain, ( ~is_fun1661590463l_bool(_u44) | is_fun_a_bool(image_876012084bool_a(_u45, _u44)) )).
% 15.67/15.87 cnf(matrix-229, plain, ( ~is_fun1661590463l_bool(_u46) | is_fun_pname_bool(image_1283814551_pname(_u47, _u46)) )).
% 15.67/15.87 cnf(matrix-230, plain, ( is_fun_a_bool(image_fun_nat_bool_a(_u49, _u48)) )).
% 15.67/15.87 cnf(matrix-231, plain, ( is_fun_pname_bool(image_1921560913_pname(_u51, _u50)) )).
% 15.67/15.87 cnf(matrix-232, plain, ( is_fun_a_bool(image_573985017bool_a(_u53, _u52)) )).
% 15.67/15.87 cnf(matrix-233, plain, ( is_fun_pname_bool(image_990671762_pname(_u55, _u54)) )).
% 15.67/15.87 cnf(matrix-234, plain, ( is_fun_a_bool(image_349102846bool_a(_u57, _u56)) )).
% 15.67/15.87 cnf(matrix-235, plain, ( is_fun_pname_bool(image_1705983821_pname(_u59, _u58)) )).
% 15.67/15.87 cnf(matrix-236, plain, ( is_fun_a_bool(image_526090948bool_a(_u61, _u60)) )).
% 15.67/15.87 cnf(matrix-237, plain, ( is_fun_pname_bool(image_1604018183_pname(_u63, _u62)) )).
% 15.67/15.87 cnf(matrix-238, plain, ( ~is_a(_u65) | ~is_fun_a_bool(_u64) | is_fun_a_bool(insert_a(_u65, _u64)) )).
% 15.67/15.87 cnf(matrix-239, plain, ( ~is_pname(_u67) | ~is_fun_pname_bool(_u66) | is_fun_pname_bool(insert_pname(_u67, _u66)) )).
% 15.67/15.87 cnf(matrix-240, plain, ( ~is_fun_a_bool(_u69) | ~is_fun949378684l_bool(_u68) | is_fun949378684l_bool(insert_fun_a_bool(_u69, _u68)) )).
% 15.67/15.87 cnf(matrix-241, plain, ( ~is_fun_pname_bool(_u71) | ~is_fun1661590463l_bool(_u70) | is_fun1661590463l_bool(insert1325755072e_bool(_u71, _u70)) )).
% 15.67/15.87 cnf(matrix-242, plain, ( ~is_fun_a_bool(_u73) | ~is_a(_u72) | is_bool(hAPP_a_bool(_u73, _u72)) )).
% 15.67/15.87 cnf(matrix-243, plain, ( ~is_a(_u74) | is_fun_a_bool(hAPP_a_fun_a_bool(_u75, _u74)) )).
% 15.67/15.87 cnf(matrix-244, plain, ( ~is_a(_u76) | is_fun_pname_bool(hAPP_a93125764e_bool(_u77, _u76)) )).
% 15.67/15.87 cnf(matrix-245, plain, ( ~is_a(_u78) | is_fun949378684l_bool(hAPP_a85458249l_bool(_u79, _u78)) )).
% 15.67/15.87 cnf(matrix-246, plain, ( ~is_pname(_u80) | is_a(hAPP_pname_a(_u81, _u80)) )).
% 15.67/15.87 cnf(matrix-247, plain, ( ~is_fun_pname_bool(_u83) | ~is_pname(_u82) | is_bool(hAPP_pname_bool(_u83, _u82)) )).
% 15.67/15.87 cnf(matrix-248, plain, ( ~is_pname(_u84) | is_fun_a_bool(hAPP_p1534023578a_bool(_u85, _u84)) )).
% 15.67/15.87 cnf(matrix-249, plain, ( ~is_pname(_u86) | is_fun_pname_bool(hAPP_p61793385e_bool(_u87, _u86)) )).
% 15.67/15.87 cnf(matrix-250, plain, ( ~is_pname(_u88) | is_fun1661590463l_bool(hAPP_p338031245l_bool(_u89, _u88)) )).
% 15.67/15.87 cnf(matrix-251, plain, ( ~is_bool(_u90) | is_bool(hAPP_bool_bool(_u91, _u90)) )).
% 15.67/15.87 cnf(matrix-252, plain, ( is_bool(hAPP_nat_bool(_u93, _u92)) )).
% 15.67/15.87 cnf(matrix-253, plain, ( is_fun_a_bool(hAPP_nat_fun_a_bool(_u95, _u94)) )).
% 15.67/15.87 cnf(matrix-254, plain, ( is_fun_pname_bool(hAPP_n1025906991e_bool(_u97, _u96)) )).
% 15.67/15.87 cnf(matrix-255, plain, ( ~is_fun949378684l_bool(_u99) | ~is_fun_a_bool(_u98) | is_bool(hAPP_fun_a_bool_bool(_u99, _u98)) )).
% 15.67/15.87 cnf(matrix-256, plain, ( ~is_fun_a_bool(_u100) | is_fun_a_bool(hAPP_f2050579477a_bool(_u101, _u100)) )).
% 15.67/15.87 cnf(matrix-257, plain, ( ~is_fun_a_bool(_u102) | is_fun949378684l_bool(hAPP_f1631501043l_bool(_u103, _u102)) )).
% 15.67/15.87 cnf(matrix-258, plain, ( ~is_fun1661590463l_bool(_u105) | ~is_fun_pname_bool(_u104) | is_bool(hAPP_f1664156314l_bool(_u105, _u104)) )).
% 15.67/15.87 cnf(matrix-259, plain, ( ~is_fun_pname_bool(_u106) | is_fun_pname_bool(hAPP_f759274231e_bool(_u107, _u106)) )).
% 15.67/15.87 cnf(matrix-260, plain, ( ~is_fun_pname_bool(_u108) | is_fun1661590463l_bool(hAPP_f434788991l_bool(_u109, _u108)) )).
% 15.67/15.87 cnf(matrix-261, plain, ( is_bool(hAPP_f54304608l_bool(_u111, _u110)) )).
% 15.67/15.87 cnf(matrix-262, plain, ( ~is_fun949378684l_bool(_u112) | is_bool(hAPP_f621171935l_bool(_u113, _u112)) )).
% 15.67/15.87 cnf(matrix-263, plain, ( ~is_fun949378684l_bool(_u114) | is_fun949378684l_bool(hAPP_f2117159681l_bool(_u115, _u114)) )).
% 15.67/15.87 cnf(matrix-264, plain, ( ~is_fun1661590463l_bool(_u116) | is_bool(hAPP_f1935102916l_bool(_u117, _u116)) )).
% 15.67/15.87 cnf(matrix-265, plain, ( ~is_fun1661590463l_bool(_u118) | is_fun1661590463l_bool(hAPP_f559147733l_bool(_u119, _u118)) )).
% 15.67/15.87 cnf(matrix-266, plain, ( is_bool(hAPP_f1637334154l_bool(_u121, _u120)) )).
% 15.67/15.87 cnf(matrix-267, plain, ( is_bool(hAPP_f292226953l_bool(_u123, _u122)) )).
% 15.67/15.87 cnf(matrix-268, plain, ( is_bool(hAPP_f389811538l_bool(_u125, _u124)) )).
% 15.67/15.87 cnf(matrix-269, plain, ( is_bool(hAPP_f937997336l_bool(_u127, _u126)) )).
% 15.67/15.87 cnf(matrix-270, plain, ( is_bool(hAPP_f1363661463l_bool(_u129, _u128)) )).
% 15.67/15.87 cnf(matrix-271, plain, ( is_bool(hAPP_f595608956l_bool(_u131, _u130)) )).
% 15.67/15.87 cnf(matrix-272, plain, ( is_bool(hAPP_f1295398978l_bool(_u133, _u132)) )).
% 15.67/15.87 cnf(matrix-273, plain, ( is_fun_a_bool(g) )).
% 15.67/15.87 cnf(matrix-274, plain, ( ~is_fun_a_bool(_u134) | is_fun949378684l_bool(p(_u134)) )).
% 15.67/15.87 cnf(matrix-275, plain, ( is_fun_pname_bool(u) )).
% 15.67/15.87 cnf(matrix-276, plain, ( is_pname(pn) )).
% 15.67/15.87 cnf(matrix-277, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u136), _u135)) | hBOOL(hAPP_fun_a_bool_bool(p(_u135), _u136)) )).
% 15.67/15.87 cnf(matrix-278, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u137)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool), _u137)))) )).
% 15.67/15.87 cnf(matrix-279, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u138)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool), _u138)))) )).
% 15.67/15.87 cnf(matrix-280, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u139)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool), _u139)))) )).
% 15.67/15.87 cnf(matrix-281, plain, ( ~hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _u140)) | hBOOL(hAPP_f1295398978l_bool(finite719726885l_bool, collec1874991203l_bool(hAPP_f760187903l_bool(cOMBC_1269652216l_bool(ord_le65145710l_bool), _u140)))) )).
% 15.67/15.87 cnf(matrix-282, plain, ( ~hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _u141)) | hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool, collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool), _u141)))) )).
% 15.67/15.87 cnf(matrix-283, plain, ( ~hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _u142)) | hBOOL(hAPP_f1363661463l_bool(finite1343359508l_bool, collec1635217238l_bool(hAPP_f1050622307l_bool(cOMBC_636888218l_bool(ord_le967226251l_bool), _u142)))) )).
% 15.67/15.87 cnf(matrix-284, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u143)) | hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool), _u143)))) )).
% 15.67/15.87 cnf(matrix-285, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u144)) | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool), _u144)))) )).
% 15.67/15.87 cnf(matrix-286, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u145)) | hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool), _u145)))) )).
% 15.67/15.87 cnf(matrix-287, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u146)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_pname_a(_u147, _u146))) )).
% 15.67/15.87 cnf(matrix-288, plain, ( ~hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _u148)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_2089570637ol_nat(_u149, _u148))) )).
% 15.67/15.87 cnf(matrix-289, plain, ( ~hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _u150)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_1079571347ol_nat(_u151, _u150))) )).
% 15.67/15.87 cnf(matrix-290, plain, ( ~hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _u152)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_1802975832ol_nat(_u153, _u152))) )).
% 15.67/15.87 cnf(matrix-291, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u154)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_fun_a_bool_nat(_u155, _u154))) )).
% 15.67/15.87 cnf(matrix-292, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u156)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_1551609309ol_nat(_u157, _u156))) )).
% 15.67/15.87 cnf(matrix-293, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u158)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_496248727ol_nat(_u159, _u158))) )).
% 15.67/15.87 cnf(matrix-294, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u160)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_a_nat(_u161, _u160))) )).
% 15.67/15.87 cnf(matrix-295, plain, ( ~hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _u162)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1604018183_pname(_u163, _u162))) )).
% 15.67/15.87 cnf(matrix-296, plain, ( ~hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _u164)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1705983821_pname(_u165, _u164))) )).
% 15.67/15.87 cnf(matrix-297, plain, ( ~hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _u166)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_990671762_pname(_u167, _u166))) )).
% 15.67/15.87 cnf(matrix-298, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u168)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1854862208_pname(_u169, _u168))) )).
% 15.67/15.87 cnf(matrix-299, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u170)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1283814551_pname(_u171, _u170))) )).
% 15.67/15.87 cnf(matrix-300, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u172)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1921560913_pname(_u173, _u172))) )).
% 15.67/15.87 cnf(matrix-301, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u174)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_a_pname(_u175, _u174))) )).
% 15.67/15.87 cnf(matrix-302, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u176)) | hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, image_1607900221l_bool(_u177, _u176))) )).
% 15.67/15.87 cnf(matrix-303, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u178)) | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, image_1874789623l_bool(_u179, _u178))) )).
% 15.67/15.87 cnf(matrix-304, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u180)) | hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, image_1208015684l_bool(_u181, _u180))) )).
% 15.67/15.87 cnf(matrix-305, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u182)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, image_nat_fun_a_bool(_u183, _u182))) )).
% 15.67/15.87 cnf(matrix-306, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u184)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, image_1655916159e_bool(_u185, _u184))) )).
% 15.67/15.87 cnf(matrix-307, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u186)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, image_26036933t_bool(_u187, _u186))) )).
% 15.67/15.87 cnf(matrix-308, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u188)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_nat_a(_u189, _u188))) )).
% 15.67/15.87 cnf(matrix-309, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u190)) | hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, image_1154884483l_bool(_u191, _u190))) )).
% 15.67/15.87 cnf(matrix-310, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u192)) | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, image_1642285373l_bool(_u193, _u192))) )).
% 15.67/15.87 cnf(matrix-311, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u194)) | hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, image_1420695166l_bool(_u195, _u194))) )).
% 15.67/15.87 cnf(matrix-312, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u196)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, image_112932426a_bool(_u197, _u196))) )).
% 15.67/15.87 cnf(matrix-313, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u198)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, image_47868345e_bool(_u199, _u198))) )).
% 15.67/15.87 cnf(matrix-314, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u200)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, image_2129980159t_bool(_u201, _u200))) )).
% 15.67/15.87 cnf(matrix-315, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u202)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_pname_pname(_u203, _u202))) )).
% 15.67/15.87 cnf(matrix-316, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u204)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_a_a(_u205, _u204))) )).
% 15.67/15.87 cnf(matrix-317, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u206)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_fun_nat_bool_a(_u207, _u206))) )).
% 15.67/15.87 cnf(matrix-318, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u208)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_876012084bool_a(_u209, _u208))) )).
% 15.67/15.87 cnf(matrix-319, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u210)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_fun_a_bool_a(_u211, _u210))) )).
% 15.67/15.87 cnf(matrix-320, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u212)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_pname_nat(_u213, _u212))) )).
% 15.67/15.87 cnf(matrix-321, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u214)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_nat_pname(_u215, _u214))) )).
% 15.67/15.87 cnf(matrix-322, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u216)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, insert_a(_u217, _u216))) )).
% 15.67/15.87 cnf(matrix-323, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u218)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, insert_nat(_u219, _u218))) )).
% 15.67/15.87 cnf(matrix-324, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u220)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, insert_pname(_u221, _u220))) )).
% 15.67/15.87 cnf(matrix-325, plain, ( ~hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _u222)) | hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, insert2003652156l_bool(_u223, _u222))) )).
% 15.67/15.87 cnf(matrix-326, plain, ( ~hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _u224)) | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, insert1117693814l_bool(_u225, _u224))) )).
% 15.67/15.87 cnf(matrix-327, plain, ( ~hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _u226)) | hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, insert1457093509l_bool(_u227, _u226))) )).
% 15.67/15.87 cnf(matrix-328, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u228)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, insert_fun_a_bool(_u229, _u228))) )).
% 15.67/15.87 cnf(matrix-329, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u230)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, insert1325755072e_bool(_u231, _u230))) )).
% 15.67/15.87 cnf(matrix-330, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u232)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, insert_fun_nat_bool(_u233, _u232))) )).
% 15.67/15.87 cnf(matrix-331, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u234)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_pname_nat(_u235, _u234))), hAPP_f921600141ol_nat(finite_card_pname, _u234))) )).
% 15.67/15.87 cnf(matrix-332, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u236)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_a_nat(_u237, _u236))), hAPP_fun_a_bool_nat(finite_card_a, _u236))) )).
% 15.67/15.87 cnf(matrix-333, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u238)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_496248727ol_nat(_u239, _u238))), hAPP_f696928925ol_nat(finite346522414t_bool, _u238))) )).
% 15.67/15.87 cnf(matrix-334, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u240)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_1551609309ol_nat(_u241, _u240))), hAPP_f55526627ol_nat(finite1340463720e_bool, _u240))) )).
% 15.67/15.87 cnf(matrix-335, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u242)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_fun_a_bool_nat(_u243, _u242))), hAPP_f2009550088ol_nat(finite1306199131a_bool, _u242))) )).
% 15.67/15.87 cnf(matrix-336, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u244)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_a_pname(_u245, _u244))), hAPP_fun_a_bool_nat(finite_card_a, _u244))) )).
% 15.67/15.87 cnf(matrix-337, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u246)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_nat_pname(_u247, _u246))), hAPP_f22106695ol_nat(finite_card_nat, _u246))) )).
% 15.67/15.87 cnf(matrix-338, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u248)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_pname_a(_u249, _u248))), hAPP_f921600141ol_nat(finite_card_pname, _u248))) )).
% 15.67/15.87 cnf(matrix-339, plain, ( ~hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _u250)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_526090948bool_a(_u251, _u250))), hAPP_f1690079119ol_nat(finite1352710292l_bool, _u250))) )).
% 15.67/15.87 cnf(matrix-340, plain, ( ~hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _u252)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_349102846bool_a(_u253, _u252))), hAPP_f98387925ol_nat(finite269641166l_bool, _u252))) )).
% 15.67/15.87 cnf(matrix-341, plain, ( ~hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _u254)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_573985017bool_a(_u255, _u254))), hAPP_f1253658590ol_nat(finite1659325229l_bool, _u254))) )).
% 15.67/15.87 cnf(matrix-342, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u256)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_fun_a_bool_a(_u257, _u256))), hAPP_f2009550088ol_nat(finite1306199131a_bool, _u256))) )).
% 15.67/15.87 cnf(matrix-343, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u258)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_876012084bool_a(_u259, _u258))), hAPP_f55526627ol_nat(finite1340463720e_bool, _u258))) )).
% 15.67/15.87 cnf(matrix-344, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u260)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_fun_nat_bool_a(_u261, _u260))), hAPP_f696928925ol_nat(finite346522414t_bool, _u260))) )).
% 15.67/15.87 cnf(matrix-345, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u262)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_a_a(_u263, _u262))), hAPP_fun_a_bool_nat(finite_card_a, _u262))) )).
% 15.67/15.87 cnf(matrix-346, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u264)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_pname_pname(_u265, _u264))), hAPP_f921600141ol_nat(finite_card_pname, _u264))) )).
% 15.67/15.87 cnf(matrix-347, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u266)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, image_2129980159t_bool(_u267, _u266))), hAPP_f921600141ol_nat(finite_card_pname, _u266))) )).
% 15.67/15.87 cnf(matrix-348, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u268)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, image_47868345e_bool(_u269, _u268))), hAPP_f921600141ol_nat(finite_card_pname, _u268))) )).
% 15.67/15.87 cnf(matrix-349, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u270)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, image_112932426a_bool(_u271, _u270))), hAPP_f921600141ol_nat(finite_card_pname, _u270))) )).
% 15.67/15.87 cnf(matrix-350, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u272)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_nat_a(_u273, _u272))), hAPP_f22106695ol_nat(finite_card_nat, _u272))) )).
% 15.67/15.87 cnf(matrix-351, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u274)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, image_26036933t_bool(_u275, _u274))), hAPP_f22106695ol_nat(finite_card_nat, _u274))) )).
% 15.67/15.87 cnf(matrix-352, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u276)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, image_1655916159e_bool(_u277, _u276))), hAPP_f22106695ol_nat(finite_card_nat, _u276))) )).
% 15.67/15.87 cnf(matrix-353, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u278)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, image_nat_fun_a_bool(_u279, _u278))), hAPP_f22106695ol_nat(finite_card_nat, _u278))) )).
% 15.67/15.87 cnf(matrix-354, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u280)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_1921560913_pname(_u281, _u280))), hAPP_f696928925ol_nat(finite346522414t_bool, _u280))) )).
% 15.67/15.87 cnf(matrix-355, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u282)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_1283814551_pname(_u283, _u282))), hAPP_f55526627ol_nat(finite1340463720e_bool, _u282))) )).
% 15.67/15.87 cnf(matrix-356, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u284)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_1854862208_pname(_u285, _u284))), hAPP_f2009550088ol_nat(finite1306199131a_bool, _u284))) )).
% 15.67/15.87 cnf(matrix-357, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u286)) | ~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _u287), _u286)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, _u287)), hAPP_f696928925ol_nat(finite346522414t_bool, _u286))) )).
% 15.67/15.87 cnf(matrix-358, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u288)) | ~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _u289), _u288)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, _u289)), hAPP_f55526627ol_nat(finite1340463720e_bool, _u288))) )).
% 15.67/15.87 cnf(matrix-359, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u290)) | ~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _u291), _u290)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, _u291)), hAPP_f2009550088ol_nat(finite1306199131a_bool, _u290))) )).
% 15.67/15.87 cnf(matrix-360, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u292)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u293), _u292)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, _u293)), hAPP_f921600141ol_nat(finite_card_pname, _u292))) )).
% 15.67/15.87 cnf(matrix-361, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u294)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u295), _u294)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, _u295)), hAPP_fun_a_bool_nat(finite_card_a, _u294))) )).
% 15.67/15.87 cnf(matrix-362, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u296)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u297), _u296)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, _u297)), hAPP_f22106695ol_nat(finite_card_nat, _u296))) )).
% 15.67/15.87 cnf(matrix-363, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u298)) | ~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _u299), _u298)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, _u298)), hAPP_f696928925ol_nat(finite346522414t_bool, _u299))) | ( _u299 = _u298) )).
% 15.67/15.87 cnf(matrix-364, plain, ( ~is_fun1661590463l_bool(_u301) | ~is_fun1661590463l_bool(_u300) | ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u300)) | ~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _u301), _u300)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, _u300)), hAPP_f55526627ol_nat(finite1340463720e_bool, _u301))) | ( _u301 = _u300) )).
% 15.67/15.87 cnf(matrix-365, plain, ( ~is_fun949378684l_bool(_u303) | ~is_fun949378684l_bool(_u302) | ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u302)) | ~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _u303), _u302)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, _u302)), hAPP_f2009550088ol_nat(finite1306199131a_bool, _u303))) | ( _u303 = _u302) )).
% 15.67/15.87 cnf(matrix-366, plain, ( ~is_fun_pname_bool(_u305) | ~is_fun_pname_bool(_u304) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u304)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u305), _u304)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, _u304)), hAPP_f921600141ol_nat(finite_card_pname, _u305))) | ( _u305 = _u304) )).
% 15.67/15.87 cnf(matrix-367, plain, ( ~is_fun_a_bool(_u307) | ~is_fun_a_bool(_u306) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u306)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u307), _u306)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, _u306)), hAPP_fun_a_bool_nat(finite_card_a, _u307))) | ( _u307 = _u306) )).
% 15.67/15.87 cnf(matrix-368, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u308)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u309), _u308)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, _u308)), hAPP_f22106695ol_nat(finite_card_nat, _u309))) | ( _u309 = _u308) )).
% 15.67/15.87 cnf(matrix-369, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u310)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, _u310)), hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_u311, _u310)))) )).
% 15.67/15.87 cnf(matrix-370, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u312)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, _u312)), hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_u313, _u312)))) )).
% 15.67/15.87 cnf(matrix-371, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u314)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, _u314)), hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_u315, _u314)))) )).
% 15.67/15.87 cnf(matrix-372, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u316)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, _u316)), hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_u317, _u316)))) )).
% 15.67/15.87 cnf(matrix-373, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u318)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, _u318)), hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_u319, _u318)))) )).
% 15.67/15.87 cnf(matrix-374, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u320)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, _u320)), hAPP_fun_a_bool_nat(finite_card_a, insert_a(_u321, _u320)))) )).
% 15.67/15.87 cnf(matrix-375, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u322)) | ~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool, _u323), _u322)) | ( hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_u323, _u322)) = hAPP_f696928925ol_nat(finite346522414t_bool, _u322)) )).
% 15.67/15.87 cnf(matrix-376, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u322)) | hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool, _u323), _u322)) | ( hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_u323, _u322)) = hAPP_nat_nat(suc, hAPP_f696928925ol_nat(finite346522414t_bool, _u322))) )).
% 15.67/15.87 cnf(matrix-377, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u324)) | ~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool, _u325), _u324)) | ( hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_u325, _u324)) = hAPP_f55526627ol_nat(finite1340463720e_bool, _u324)) )).
% 15.67/15.87 cnf(matrix-378, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u324)) | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool, _u325), _u324)) | ( hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_u325, _u324)) = hAPP_nat_nat(suc, hAPP_f55526627ol_nat(finite1340463720e_bool, _u324))) )).
% 15.67/15.87 cnf(matrix-379, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u326)) | ~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool, _u327), _u326)) | ( hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_u327, _u326)) = hAPP_f2009550088ol_nat(finite1306199131a_bool, _u326)) )).
% 15.67/15.87 cnf(matrix-380, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u326)) | hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool, _u327), _u326)) | ( hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_u327, _u326)) = hAPP_nat_nat(suc, hAPP_f2009550088ol_nat(finite1306199131a_bool, _u326))) )).
% 15.67/15.87 cnf(matrix-381, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u328)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u329), _u328)) | ( hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_u329, _u328)) = hAPP_f22106695ol_nat(finite_card_nat, _u328)) )).
% 15.67/15.87 cnf(matrix-382, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u328)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u329), _u328)) | ( hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_u329, _u328)) = hAPP_nat_nat(suc, hAPP_f22106695ol_nat(finite_card_nat, _u328))) )).
% 15.67/15.87 cnf(matrix-383, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u330)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u331), _u330)) | ( hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_u331, _u330)) = hAPP_f921600141ol_nat(finite_card_pname, _u330)) )).
% 15.67/15.87 cnf(matrix-384, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u330)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u331), _u330)) | ( hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_u331, _u330)) = hAPP_nat_nat(suc, hAPP_f921600141ol_nat(finite_card_pname, _u330))) )).
% 15.67/15.87 cnf(matrix-385, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u332)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u333), _u332)) | ( hAPP_fun_a_bool_nat(finite_card_a, insert_a(_u333, _u332)) = hAPP_fun_a_bool_nat(finite_card_a, _u332)) )).
% 15.67/15.87 cnf(matrix-386, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u332)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u333), _u332)) | ( hAPP_fun_a_bool_nat(finite_card_a, insert_a(_u333, _u332)) = hAPP_nat_nat(suc, hAPP_fun_a_bool_nat(finite_card_a, _u332))) )).
% 15.67/15.87 cnf(matrix-387, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u334)) | hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool, _u335), _u334)) | ( hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_u335, _u334)) = hAPP_nat_nat(suc, hAPP_f696928925ol_nat(finite346522414t_bool, _u334))) )).
% 15.67/15.87 cnf(matrix-388, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u336)) | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool, _u337), _u336)) | ( hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_u337, _u336)) = hAPP_nat_nat(suc, hAPP_f55526627ol_nat(finite1340463720e_bool, _u336))) )).
% 15.67/15.87 cnf(matrix-389, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u338)) | hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool, _u339), _u338)) | ( hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_u339, _u338)) = hAPP_nat_nat(suc, hAPP_f2009550088ol_nat(finite1306199131a_bool, _u338))) )).
% 15.67/15.87 cnf(matrix-390, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u340)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u341), _u340)) | ( hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_u341, _u340)) = hAPP_nat_nat(suc, hAPP_f22106695ol_nat(finite_card_nat, _u340))) )).
% 15.67/15.87 cnf(matrix-391, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u342)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u343), _u342)) | ( hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_u343, _u342)) = hAPP_nat_nat(suc, hAPP_f921600141ol_nat(finite_card_pname, _u342))) )).
% 15.67/15.87 cnf(matrix-392, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u344)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u345), _u344)) | ( hAPP_fun_a_bool_nat(finite_card_a, insert_a(_u345, _u344)) = hAPP_nat_nat(suc, hAPP_fun_a_bool_nat(finite_card_a, _u344))) )).
% 15.67/15.87 cnf(matrix-393, plain, ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj, _u346), _u347)))) | ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u346))) )).
% 15.67/15.87 cnf(matrix-394, plain, ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj, _u346), _u347)))) | ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u347))) )).
% 15.67/15.87 cnf(matrix-395, plain, ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj, _u348), _u349)))) | ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u348))) )).
% 15.67/15.87 cnf(matrix-396, plain, ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj, _u348), _u349)))) | ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u349))) )).
% 15.67/15.87 cnf(matrix-397, plain, ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj, _u350), _u351)))) | ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u350))) )).
% 15.67/15.87 cnf(matrix-398, plain, ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj, _u350), _u351)))) | ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u351))) )).
% 15.67/15.87 cnf(matrix-399, plain, ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj, _u352), _u353)))) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u352))) )).
% 15.67/15.87 cnf(matrix-400, plain, ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj, _u352), _u353)))) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u353))) )).
% 15.67/15.87 cnf(matrix-401, plain, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj, _u354), _u355)))) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u354))) )).
% 15.67/15.87 cnf(matrix-402, plain, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj, _u354), _u355)))) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u355))) )).
% 15.67/15.87 cnf(matrix-403, plain, ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj, _u356), _u357)))) | ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u356))) )).
% 15.67/15.87 cnf(matrix-404, plain, ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj, _u356), _u357)))) | ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u357))) )).
% 15.67/15.87 cnf(matrix-405, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u359), _u358)) | ( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc, _u358)), _u359) = hAPP_nat_nat(suc, hAPP_nat_nat(minus_minus_nat(_u358), _u359))) )).
% 15.67/15.87 cnf(matrix-406, plain, ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat), _u360)))) )).
% 15.67/15.87 cnf(matrix-407, plain, ( ( hAPP_f22106695ol_nat(finite_card_nat, collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat), _u361))) = hAPP_nat_nat(suc, _u361)) )).
% 15.67/15.87 cnf(matrix-408, plain, ( ( hAPP_nat_nat(suc, _u363) != hAPP_nat_nat(suc, _u362)) | ( _u363 = _u362) )).
% 15.67/15.87 cnf(matrix-409, plain, ( ( hAPP_nat_nat(suc, _u368) != hAPP_nat_nat(suc, _u366)) | ( _u368 = _u366) )).
% 15.67/15.87 cnf(matrix-410, plain, ( ( _u369 != _u367) | ( hAPP_nat_nat(suc, _u369) = hAPP_nat_nat(suc, _u367)) )).
% 15.67/15.87 cnf(matrix-411, plain, ( ( hAPP_nat_nat(suc, _u370) != _u370) )).
% 15.67/15.87 cnf(matrix-412, plain, ( ( _u371 != hAPP_nat_nat(suc, _u371)) )).
% 15.67/15.87 cnf(matrix-413, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u373), _u372)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u372), _u373)) | ( _u373 = _u372) )).
% 15.67/15.87 cnf(matrix-414, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u375), _u374)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u374), _u376)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u375), _u376)) )).
% 15.67/15.87 cnf(matrix-415, plain, ( ( _u378 != _u377) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u378), _u377)) )).
% 15.67/15.87 cnf(matrix-416, plain, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u380), _u379)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u379), _u380)) )).
% 15.67/15.87 cnf(matrix-417, plain, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u381), _u381)) )).
% 15.67/15.87 cnf(matrix-418, plain, ( ( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_u384), _u383)), _u382) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_u384), _u382)), _u383)) )).
% 15.67/15.87 cnf(matrix-419, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, _u389), _u387)))) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u389))) )).
% 15.67/15.87 cnf(matrix-420, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, _u389), _u387)))) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u387))) )).
% 15.67/15.87 cnf(matrix-421, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u390))) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_u388))) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, _u390), _u388)))) )).
% 15.67/15.87 cnf(matrix-422, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, _u395), _u393)))) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u395))) )).
% 15.67/15.87 cnf(matrix-423, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, _u395), _u393)))) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u393))) )).
% 15.67/15.87 cnf(matrix-424, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u396))) | ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_u394))) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, _u396), _u394)))) )).
% 15.67/15.87 cnf(matrix-425, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, _u401), _u399)))) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u401))) )).
% 15.67/15.87 cnf(matrix-426, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, _u401), _u399)))) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u399))) )).
% 15.67/15.87 cnf(matrix-427, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u402))) | ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_u400))) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, _u402), _u400)))) )).
% 15.67/15.87 cnf(matrix-428, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, _u407), _u405)))) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u407))) )).
% 15.67/15.87 cnf(matrix-429, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, _u407), _u405)))) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u405))) )).
% 15.67/15.87 cnf(matrix-430, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u408))) | ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_u406))) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, _u408), _u406)))) )).
% 15.67/15.87 cnf(matrix-431, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, _u413), _u411)))) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u413))) )).
% 15.67/15.87 cnf(matrix-432, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, _u413), _u411)))) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u411))) )).
% 15.67/15.87 cnf(matrix-433, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u414))) | ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_u412))) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, _u414), _u412)))) )).
% 15.67/15.87 cnf(matrix-434, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, _u419), _u417)))) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u419))) )).
% 15.67/15.87 cnf(matrix-435, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, _u419), _u417)))) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u417))) )).
% 15.67/15.87 cnf(matrix-436, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u420))) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_u418))) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, _u420), _u418)))) )).
% 15.67/15.87 cnf(matrix-437, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, insert_nat(_u425, _u423))) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u423)) )).
% 15.67/15.87 cnf(matrix-438, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u424)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, insert_nat(_u426, _u424))) )).
% 15.67/15.87 cnf(matrix-439, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, insert_pname(_u431, _u429))) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u429)) )).
% 15.67/15.87 cnf(matrix-440, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u430)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, insert_pname(_u432, _u430))) )).
% 15.67/15.87 cnf(matrix-441, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, insert_a(_u437, _u435))) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u435)) )).
% 15.67/15.87 cnf(matrix-442, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u436)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, insert_a(_u438, _u436))) )).
% 15.67/15.87 cnf(matrix-443, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, insert_fun_nat_bool(_u443, _u441))) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u441)) )).
% 15.67/15.87 cnf(matrix-444, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u442)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, insert_fun_nat_bool(_u444, _u442))) )).
% 15.67/15.87 cnf(matrix-445, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, insert1325755072e_bool(_u449, _u447))) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u447)) )).
% 15.67/15.87 cnf(matrix-446, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u448)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, insert1325755072e_bool(_u450, _u448))) )).
% 15.67/15.87 cnf(matrix-447, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, insert_fun_a_bool(_u455, _u453))) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u453)) )).
% 15.67/15.87 cnf(matrix-448, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u454)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, insert_fun_a_bool(_u456, _u454))) )).
% 15.67/15.87 cnf(matrix-449, plain, ( ~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _u458), _u457)) | ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u457)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u458)) )).
% 15.67/15.87 cnf(matrix-450, plain, ( ~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _u460), _u459)) | ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u459)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u460)) )).
% 15.67/15.87 cnf(matrix-451, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u462), _u461)) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u461)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u462)) )).
% 15.67/15.87 cnf(matrix-452, plain, ( ~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _u464), _u463)) | ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u463)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u464)) )).
% 15.67/15.87 cnf(matrix-453, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u466), _u465)) | ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u465)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u466)) )).
% 15.67/15.87 cnf(matrix-454, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u468), _u467)) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u467)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u468)) )).
% 15.67/15.87 cnf(matrix-455, plain, ( ~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u469)) | ~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _u470), _u469)) | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _u470)) )).
% 15.67/15.87 cnf(matrix-456, plain, ( ~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u471)) | ~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _u472), _u471)) | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _u472)) )).
% 15.67/15.87 cnf(matrix-457, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u473)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u474), _u473)) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u474)) )).
% 15.67/15.87 cnf(matrix-458, plain, ( ~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u475)) | ~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _u476), _u475)) | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _u476)) )).
% 15.67/15.87 cnf(matrix-459, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u477)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u478), _u477)) | hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u478)) )).
% 15.67/15.87 cnf(matrix-460, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u479)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u480), _u479)) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u480)) )).
% 15.67/15.87 cnf(matrix-461, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u482)), _u481)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u482), _u481)) )).
% 15.67/15.87 cnf(matrix-462, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u484), hAPP_nat_nat(suc, _u483))) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u484), _u483)) | ( _u484 = hAPP_nat_nat(suc, _u483)) )).
% 15.67/15.87 cnf(matrix-463, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u486), _u485)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u486), hAPP_nat_nat(suc, _u485))) )).
% 15.67/15.87 cnf(matrix-464, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u491)), hAPP_nat_nat(suc, _u489))) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u491), _u489)) )).
% 15.67/15.87 cnf(matrix-465, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u492), _u490)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u492)), hAPP_nat_nat(suc, _u490))) )).
% 15.67/15.87 cnf(matrix-466, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u497), hAPP_nat_nat(suc, _u495))) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u497), _u495)) | ( _u497 = hAPP_nat_nat(suc, _u495)) )).
% 15.67/15.87 cnf(matrix-467, plain, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u498), hAPP_nat_nat(suc, _u496))) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u498), _u496)) )).
% 15.67/15.87 cnf(matrix-468, plain, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u498), hAPP_nat_nat(suc, _u496))) | ( _u498 != hAPP_nat_nat(suc, _u496)) )).
% 15.67/15.87 cnf(matrix-469, plain, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u503), _u501)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u501)), _u503)) )).
% 15.67/15.87 cnf(matrix-470, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u502)), _u504)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u504), _u502)) )).
% 15.67/15.87 cnf(matrix-471, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u505)), _u505)) )).
% 15.67/15.87 cnf(matrix-472, plain, ( ( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc, _u508)), _u507)), hAPP_nat_nat(suc, _u506)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_u508), _u507)), _u506)) )).
% 15.67/15.87 cnf(matrix-473, plain, ( ( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc, _u510)), hAPP_nat_nat(suc, _u509)) = hAPP_nat_nat(minus_minus_nat(_u510), _u509)) )).
% 15.67/15.87 cnf(matrix-474, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u512), _u511)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u512), _u513)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_u511), _u512)), hAPP_nat_nat(minus_minus_nat(_u513), _u512))) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u511), _u513)) )).
% 15.67/15.87 cnf(matrix-475, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u512), _u511)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u512), _u513)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u511), _u513)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_u511), _u512)), hAPP_nat_nat(minus_minus_nat(_u513), _u512))) )).
% 15.67/15.87 cnf(matrix-476, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u515), _u514)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u515), _u516)) | ( hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_u514), _u515)), hAPP_nat_nat(minus_minus_nat(_u516), _u515)) = hAPP_nat_nat(minus_minus_nat(_u514), _u516)) )).
% 15.67/15.87 cnf(matrix-477, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u518), _u517)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u518), _u519)) | ( hAPP_nat_nat(minus_minus_nat(_u517), _u518) != hAPP_nat_nat(minus_minus_nat(_u519), _u518)) | ( _u517 = _u519) )).
% 15.67/15.87 cnf(matrix-478, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u518), _u517)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u518), _u519)) | ( _u517 != _u519) | ( hAPP_nat_nat(minus_minus_nat(_u517), _u518) = hAPP_nat_nat(minus_minus_nat(_u519), _u518)) )).
% 15.67/15.87 cnf(matrix-479, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u521), _u520)) | ( hAPP_nat_nat(minus_minus_nat(_u520), hAPP_nat_nat(minus_minus_nat(_u520), _u521)) = _u521) )).
% 15.67/15.87 cnf(matrix-480, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u523), _u522)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_u523), _u524)), hAPP_nat_nat(minus_minus_nat(_u522), _u524))) )).
% 15.67/15.87 cnf(matrix-481, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u526), _u525)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_u527), _u525)), hAPP_nat_nat(minus_minus_nat(_u527), _u526))) )).
% 15.67/15.87 cnf(matrix-482, plain, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_u529), _u528)), _u529)) )).
% 15.67/15.87 cnf(matrix-483, plain, ( ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u530)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u532), image_pname_a(_u531, _u530))) | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u532)) )).
% 15.67/15.87 cnf(matrix-484, plain, ( ~is_fun_a_bool(_u534) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u534)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u534), image_pname_a(_u536, _u535))) | is_fun_pname_bool(skolem1(_u536, _u535, _u534)) )).
% 15.67/15.87 cnf(matrix-485, plain, ( ~is_fun_a_bool(_u534) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u534)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u534), image_pname_a(_u536, _u535))) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, skolem1(_u536, _u535, _u534)), _u535)) )).
% 15.67/15.87 cnf(matrix-486, plain, ( ~is_fun_a_bool(_u534) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u534)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u534), image_pname_a(_u536, _u535))) | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, skolem1(_u536, _u535, _u534))) )).
% 15.67/15.87 cnf(matrix-487, plain, ( ~is_fun_a_bool(_u534) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _u534)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u534), image_pname_a(_u536, _u535))) | ( _u534 = image_pname_a(_u536, skolem1(_u536, _u535, _u534))) )).
% 15.67/15.87 cnf(matrix-488, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, hAPP_n1699378549t_bool(_u538, skolem2(_u540, _u539, _u538))), hAPP_n1699378549t_bool(_u538, hAPP_nat_nat(suc, skolem2(_u540, _u539, _u538))))) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u540), _u539)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, hAPP_n1699378549t_bool(_u538, _u540)), hAPP_n1699378549t_bool(_u538, _u539))) )).
% 15.67/15.87 cnf(matrix-489, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, hAPP_n1025906991e_bool(_u542, skolem3(_u544, _u543, _u542))), hAPP_n1025906991e_bool(_u542, hAPP_nat_nat(suc, skolem3(_u544, _u543, _u542))))) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u544), _u543)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, hAPP_n1025906991e_bool(_u542, _u544)), hAPP_n1025906991e_bool(_u542, _u543))) )).
% 15.67/15.87 cnf(matrix-490, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(_u546, skolem4(_u548, _u547, _u546))), hAPP_nat_nat(_u546, hAPP_nat_nat(suc, skolem4(_u548, _u547, _u546))))) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u548), _u547)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(_u546, _u548)), hAPP_nat_nat(_u546, _u547))) )).
% 15.67/15.87 cnf(matrix-491, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, hAPP_nat_fun_a_bool(_u550, skolem5(_u552, _u551, _u550))), hAPP_nat_fun_a_bool(_u550, hAPP_nat_nat(suc, skolem5(_u552, _u551, _u550))))) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u552), _u551)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, hAPP_nat_fun_a_bool(_u550, _u552)), hAPP_nat_fun_a_bool(_u550, _u551))) )).
% 15.67/15.87 cnf(matrix-492, plain, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u554)) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_pname_a(_u555, _u554))) | is_pname(skolem6(_u555, _u554)) )).
% 15.67/15.87 cnf(matrix-493, plain, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u554)) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_pname_a(_u555, _u554))) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem6(_u555, _u554)), _u554)) )).
% 15.67/15.87 cnf(matrix-494, plain, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _u554)) | ~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_pname_a(_u555, _u554))) | ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj, hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname), _u554)), hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a, _u555)), hAPP_pname_a(_u555, skolem6(_u555, _u554))))))) )).
% 15.67/15.87 cnf(matrix-495, plain, ( ( _u558 != hAPP_pname_a(_u557, _u556)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u556), _u559)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u558), image_pname_a(_u557, _u559))) )).
% 15.67/15.87 cnf(matrix-496, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u561), _u560)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u560), _u561)) | ( _u561 = _u560) )).
% 15.67/15.87 cnf(matrix-497, plain, ( ~is_fun_pname_bool(_u563) | ~is_fun_pname_bool(_u562) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u563), _u562)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u562), _u563)) | ( _u563 = _u562) )).
% 15.67/15.87 cnf(matrix-498, plain, ( ~is_fun_a_bool(_u565) | ~is_fun_a_bool(_u564) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u565), _u564)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u564), _u565)) | ( _u565 = _u564) )).
% 15.67/15.87 cnf(matrix-499, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u567), _u566)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u568), _u567)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u568), _u566)) )).
% 15.67/15.87 cnf(matrix-500, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u570), _u569)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u571), _u570)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u571), _u569)) )).
% 15.67/15.87 cnf(matrix-501, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u573), _u572)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u574), _u573)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u574), _u572)) )).
% 15.67/15.87 cnf(matrix-502, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u576), insert_nat(_u577, _u575))) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u576), _u575)) )).
% 15.67/15.87 cnf(matrix-503, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u576), insert_nat(_u577, _u575))) | ( _u576 != _u577) )).
% 15.67/15.87 cnf(matrix-504, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u579), insert_pname(_u580, _u578))) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u579), _u578)) )).
% 15.67/15.87 cnf(matrix-505, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u579), insert_pname(_u580, _u578))) | ( _u579 != _u580) )).
% 15.67/15.87 cnf(matrix-506, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u582), insert_a(_u583, _u581))) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u582), _u581)) )).
% 15.67/15.87 cnf(matrix-507, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u582), insert_a(_u583, _u581))) | ( _u582 != _u583) )).
% 15.67/15.87 cnf(matrix-508, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u586), insert_nat(_u585, _u584))) | ( _u586 = _u585) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u586), _u584)) )).
% 15.67/15.87 cnf(matrix-509, plain, ( ~is_pname(_u589) | ~is_pname(_u588) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u589), insert_pname(_u588, _u587))) | ( _u589 = _u588) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u589), _u587)) )).
% 15.67/15.87 cnf(matrix-510, plain, ( ~is_a(_u592) | ~is_a(_u591) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u592), insert_a(_u591, _u590))) | ( _u592 = _u591) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u592), _u590)) )).
% 15.67/15.87 cnf(matrix-511, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u594), insert_nat(_u594, _u593))) )).
% 15.67/15.87 cnf(matrix-512, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u596), insert_pname(_u596, _u595))) )).
% 15.67/15.87 cnf(matrix-513, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u598), insert_a(_u598, _u597))) )).
% 15.67/15.87 cnf(matrix-514, plain, ( ( insert_nat(_u600, _u599) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat), _u600)), hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat), _u599)))) )).
% 15.67/15.87 cnf(matrix-515, plain, ( ( insert_pname(_u602, _u601) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname), _u602)), hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname), _u601)))) )).
% 15.67/15.87 cnf(matrix-516, plain, ( ( insert_a(_u604, _u603) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a), _u604)), hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a), _u603)))) )).
% 15.67/15.87 cnf(matrix-517, plain, ( ( insert_fun_nat_bool(_u606, _u605) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool), _u606)), hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool), _u605)))) )).
% 15.67/15.87 cnf(matrix-518, plain, ( ( insert1325755072e_bool(_u608, _u607) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool), _u608)), hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool), _u607)))) )).
% 15.67/15.87 cnf(matrix-519, plain, ( ( insert_fun_a_bool(_u610, _u609) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool), _u610)), hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool), _u609)))) )).
% 15.67/15.87 cnf(matrix-520, plain, ( ( insert_nat(_u612, collect_nat(_u611)) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies, cOMBB_bool_bool_nat(fNot, hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat), _u612))), _u611))) )).
% 15.67/15.87 cnf(matrix-521, plain, ( ( insert_pname(_u614, collect_pname(_u613)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies, cOMBB_647938656_pname(fNot, hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname), _u614))), _u613))) )).
% 15.67/15.87 cnf(matrix-522, plain, ( ( insert_a(_u616, collect_a(_u615)) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies, cOMBB_bool_bool_a(fNot, hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a), _u616))), _u615))) )).
% 15.67/15.87 cnf(matrix-523, plain, ( ( insert_fun_nat_bool(_u618, collect_fun_nat_bool(_u617)) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies, cOMBB_238756964t_bool(fNot, hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool), _u618))), _u617))) )).
% 15.67/15.87 cnf(matrix-524, plain, ( ( insert1325755072e_bool(_u620, collec1974731493e_bool(_u619)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies, cOMBB_307249310e_bool(fNot, hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool), _u620))), _u619))) )).
% 15.67/15.87 cnf(matrix-525, plain, ( ( insert_fun_a_bool(_u622, collect_fun_a_bool(_u621)) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies, cOMBB_2140588453a_bool(fNot, hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool), _u622))), _u621))) )).
% 15.67/15.87 cnf(matrix-526, plain, ( ( insert_nat(_u624, insert_nat(_u624, _u623)) = insert_nat(_u624, _u623)) )).
% 15.67/15.87 cnf(matrix-527, plain, ( ( insert_pname(_u626, insert_pname(_u626, _u625)) = insert_pname(_u626, _u625)) )).
% 15.67/15.87 cnf(matrix-528, plain, ( ( insert_a(_u628, insert_a(_u628, _u627)) = insert_a(_u628, _u627)) )).
% 15.67/15.87 cnf(matrix-529, plain, ( ( insert_nat(_u631, insert_nat(_u630, _u629)) = insert_nat(_u630, insert_nat(_u631, _u629))) )).
% 15.67/15.87 cnf(matrix-530, plain, ( ( insert_pname(_u634, insert_pname(_u633, _u632)) = insert_pname(_u633, insert_pname(_u634, _u632))) )).
% 15.67/15.87 cnf(matrix-531, plain, ( ( insert_a(_u637, insert_a(_u636, _u635)) = insert_a(_u636, insert_a(_u637, _u635))) )).
% 15.67/15.87 cnf(matrix-532, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u645), insert_nat(_u643, _u641))) | ( _u645 = _u643) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u645), _u641)) )).
% 15.67/15.87 cnf(matrix-533, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u646), insert_nat(_u644, _u642))) | ( _u646 != _u644) )).
% 15.67/15.87 cnf(matrix-534, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u646), insert_nat(_u644, _u642))) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u646), _u642)) )).
% 15.67/15.87 cnf(matrix-535, plain, ( ~is_pname(_u649) | ~is_pname(_u648) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u649), insert_pname(_u648, _u650))) | ( _u649 = _u648) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u649), _u650)) )).
% 15.67/15.87 cnf(matrix-536, plain, ( ~is_pname(_u649) | ~is_pname(_u648) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u649), insert_pname(_u648, _u651))) | ( _u649 != _u648) )).
% 15.67/15.87 cnf(matrix-537, plain, ( ~is_pname(_u649) | ~is_pname(_u648) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u649), insert_pname(_u648, _u651))) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u649), _u651)) )).
% 15.67/15.87 cnf(matrix-538, plain, ( ~is_a(_u654) | ~is_a(_u653) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u654), insert_a(_u653, _u655))) | ( _u654 = _u653) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u654), _u655)) )).
% 15.67/15.87 cnf(matrix-539, plain, ( ~is_a(_u654) | ~is_a(_u653) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u654), insert_a(_u653, _u656))) | ( _u654 != _u653) )).
% 15.67/15.87 cnf(matrix-540, plain, ( ~is_a(_u654) | ~is_a(_u653) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u654), insert_a(_u653, _u656))) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u654), _u656)) )).
% 15.67/15.87 cnf(matrix-541, plain, ( ~hBOOL(hAPP_nat_bool(insert_nat(_u664, _u662), _u660)) | ( _u664 = _u660) | hBOOL(hAPP_nat_bool(_u662, _u660)) )).
% 15.67/15.87 cnf(matrix-542, plain, ( hBOOL(hAPP_nat_bool(insert_nat(_u665, _u663), _u661)) | ( _u665 != _u661) )).
% 15.67/15.87 cnf(matrix-543, plain, ( hBOOL(hAPP_nat_bool(insert_nat(_u665, _u663), _u661)) | ~hBOOL(hAPP_nat_bool(_u663, _u661)) )).
% 15.67/15.87 cnf(matrix-544, plain, ( ~is_pname(_u668) | ~is_pname(_u666) | ~hBOOL(hAPP_pname_bool(insert_pname(_u668, _u667), _u666)) | ( _u668 = _u666) | hBOOL(hAPP_pname_bool(_u667, _u666)) )).
% 15.67/15.87 cnf(matrix-545, plain, ( ~is_pname(_u668) | ~is_pname(_u666) | hBOOL(hAPP_pname_bool(insert_pname(_u668, _u667), _u666)) | ( _u668 != _u666) )).
% 15.67/15.87 cnf(matrix-546, plain, ( ~is_pname(_u668) | ~is_pname(_u666) | hBOOL(hAPP_pname_bool(insert_pname(_u668, _u667), _u666)) | ~hBOOL(hAPP_pname_bool(_u667, _u666)) )).
% 15.67/15.87 cnf(matrix-547, plain, ( ~is_a(_u671) | ~is_a(_u669) | ~hBOOL(hAPP_a_bool(insert_a(_u671, _u670), _u669)) | ( _u671 = _u669) | hBOOL(hAPP_a_bool(_u670, _u669)) )).
% 15.67/15.87 cnf(matrix-548, plain, ( ~is_a(_u671) | ~is_a(_u669) | hBOOL(hAPP_a_bool(insert_a(_u671, _u670), _u669)) | ( _u671 != _u669) )).
% 15.67/15.87 cnf(matrix-549, plain, ( ~is_a(_u671) | ~is_a(_u669) | hBOOL(hAPP_a_bool(insert_a(_u671, _u670), _u669)) | ~hBOOL(hAPP_a_bool(_u670, _u669)) )).
% 15.67/15.87 cnf(matrix-550, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u673), _u672)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u673), _u674)) | ( insert_nat(_u673, _u672) != insert_nat(_u673, _u674)) | ( _u672 = _u674) )).
% 15.67/15.87 cnf(matrix-551, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u673), _u672)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u673), _u674)) | ( _u672 != _u674) | ( insert_nat(_u673, _u672) = insert_nat(_u673, _u674)) )).
% 15.67/15.87 cnf(matrix-552, plain, ( ~is_fun_pname_bool(_u677) | ~is_fun_pname_bool(_u675) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u676), _u675)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u676), _u677)) | ( insert_pname(_u676, _u675) != insert_pname(_u676, _u677)) | ( _u675 = _u677) )).
% 15.67/15.87 cnf(matrix-553, plain, ( ~is_fun_pname_bool(_u677) | ~is_fun_pname_bool(_u675) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u676), _u675)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u676), _u677)) | ( _u675 != _u677) | ( insert_pname(_u676, _u675) = insert_pname(_u676, _u677)) )).
% 15.67/15.87 cnf(matrix-554, plain, ( ~is_fun_a_bool(_u680) | ~is_fun_a_bool(_u678) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u679), _u678)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u679), _u680)) | ( insert_a(_u679, _u678) != insert_a(_u679, _u680)) | ( _u678 = _u680) )).
% 15.67/15.87 cnf(matrix-555, plain, ( ~is_fun_a_bool(_u680) | ~is_fun_a_bool(_u678) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u679), _u678)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u679), _u680)) | ( _u678 != _u680) | ( insert_a(_u679, _u678) = insert_a(_u679, _u680)) )).
% 15.67/15.87 cnf(matrix-556, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u682), _u681)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u682), insert_nat(_u683, _u681))) )).
% 15.67/15.87 cnf(matrix-557, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u685), _u684)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u685), insert_pname(_u686, _u684))) )).
% 15.67/15.87 cnf(matrix-558, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u688), _u687)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u688), insert_a(_u689, _u687))) )).
% 15.67/15.87 cnf(matrix-559, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u691), _u690)) | ( insert_nat(_u691, _u690) = _u690) )).
% 15.67/15.87 cnf(matrix-560, plain, ( ~is_fun_pname_bool(_u692) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u693), _u692)) | ( insert_pname(_u693, _u692) = _u692) )).
% 15.67/15.87 cnf(matrix-561, plain, ( ~is_fun_a_bool(_u694) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u695), _u694)) | ( insert_a(_u695, _u694) = _u694) )).
% 15.67/15.87 cnf(matrix-562, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u696), _u696)) )).
% 15.67/15.87 cnf(matrix-563, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u697), _u697)) )).
% 15.67/15.87 cnf(matrix-564, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u698), _u698)) )).
% 15.67/15.87 cnf(matrix-565, plain, ( ( _u703 != _u701) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u703), _u701)) )).
% 15.67/15.87 cnf(matrix-566, plain, ( ( _u703 != _u701) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u701), _u703)) )).
% 15.67/15.87 cnf(matrix-567, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u704), _u702)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u702), _u704)) | ( _u704 = _u702) )).
% 15.67/15.87 cnf(matrix-568, plain, ( ~is_fun_pname_bool(_u706) | ~is_fun_pname_bool(_u705) | ( _u706 != _u705) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u706), _u705)) )).
% 15.67/15.87 cnf(matrix-569, plain, ( ~is_fun_pname_bool(_u706) | ~is_fun_pname_bool(_u705) | ( _u706 != _u705) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u705), _u706)) )).
% 15.67/15.87 cnf(matrix-570, plain, ( ~is_fun_pname_bool(_u706) | ~is_fun_pname_bool(_u705) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u706), _u705)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u705), _u706)) | ( _u706 = _u705) )).
% 15.67/15.87 cnf(matrix-571, plain, ( ~is_fun_a_bool(_u708) | ~is_fun_a_bool(_u707) | ( _u708 != _u707) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u708), _u707)) )).
% 15.67/15.87 cnf(matrix-572, plain, ( ~is_fun_a_bool(_u708) | ~is_fun_a_bool(_u707) | ( _u708 != _u707) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u707), _u708)) )).
% 15.67/15.87 cnf(matrix-573, plain, ( ~is_fun_a_bool(_u708) | ~is_fun_a_bool(_u707) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u708), _u707)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u707), _u708)) | ( _u708 = _u707) )).
% 15.67/15.87 cnf(matrix-574, plain, ( ( _u710 != _u709) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u710), _u709)) )).
% 15.67/15.87 cnf(matrix-575, plain, ( ( _u712 != _u711) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u712), _u711)) )).
% 15.67/15.87 cnf(matrix-576, plain, ( ( _u714 != _u713) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u714), _u713)) )).
% 15.67/15.87 cnf(matrix-577, plain, ( ( _u716 != _u715) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u715), _u716)) )).
% 15.67/15.87 cnf(matrix-578, plain, ( ( _u718 != _u717) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u717), _u718)) )).
% 15.67/15.87 cnf(matrix-579, plain, ( ( _u720 != _u719) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u719), _u720)) )).
% 15.67/15.87 cnf(matrix-580, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u722), _u721)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u723), _u722)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u723), _u721)) )).
% 15.67/15.87 cnf(matrix-581, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u725), _u724)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u726), _u725)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u726), _u724)) )).
% 15.67/15.87 cnf(matrix-582, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u728), _u727)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u729), _u728)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u729), _u727)) )).
% 15.67/15.87 cnf(matrix-583, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u731), _u730)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u730), _u732)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u731), _u732)) )).
% 15.67/15.87 cnf(matrix-584, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u734), _u733)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u733), _u735)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u734), _u735)) )).
% 15.67/15.87 cnf(matrix-585, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u737), _u736)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u736), _u738)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u737), _u738)) )).
% 15.67/15.87 cnf(matrix-586, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u740), _u739)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u741), _u740)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u741), _u739)) )).
% 15.67/15.87 cnf(matrix-587, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u743), _u742)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u744), _u743)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u744), _u742)) )).
% 15.67/15.87 cnf(matrix-588, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u746), _u745)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u747), _u746)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u747), _u745)) )).
% 15.67/15.87 cnf(matrix-589, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u749), _u748)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u748), _u750)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u749), _u750)) )).
% 15.67/15.87 cnf(matrix-590, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u752), _u751)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u751), _u753)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u752), _u753)) )).
% 15.67/15.87 cnf(matrix-591, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u755), _u754)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u754), _u756)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u755), _u756)) )).
% 15.67/15.87 cnf(matrix-592, plain, ( ( _u758 != _u757) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u758), _u757)) )).
% 15.67/15.87 cnf(matrix-593, plain, ( ( _u758 != _u757) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u757), _u758)) )).
% 15.67/15.87 cnf(matrix-594, plain, ( ( _u760 != _u759) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u760), _u759)) )).
% 15.67/15.87 cnf(matrix-595, plain, ( ( _u760 != _u759) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u759), _u760)) )).
% 15.67/15.87 cnf(matrix-596, plain, ( ( _u762 != _u761) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u762), _u761)) )).
% 15.67/15.87 cnf(matrix-597, plain, ( ( _u762 != _u761) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u761), _u762)) )).
% 15.67/15.87 cnf(matrix-598, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u767), _u765)) | hBOOL(hAPP_nat_bool(_u765, _u767)) )).
% 15.67/15.87 cnf(matrix-599, plain, ( ~hBOOL(hAPP_nat_bool(_u766, _u768)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u768), _u766)) )).
% 15.67/15.87 cnf(matrix-600, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u773), _u771)) | hBOOL(hAPP_a_bool(_u771, _u773)) )).
% 15.67/15.87 cnf(matrix-601, plain, ( ~hBOOL(hAPP_a_bool(_u772, _u774)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u774), _u772)) )).
% 15.67/15.87 cnf(matrix-602, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u779), _u777)) | hBOOL(hAPP_pname_bool(_u777, _u779)) )).
% 15.67/15.87 cnf(matrix-603, plain, ( ~hBOOL(hAPP_pname_bool(_u778, _u780)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u780), _u778)) )).
% 15.67/15.87 cnf(matrix-604, plain, ( ~is_fun_pname_bool(_u781) | ( collect_pname(_u781) = _u781) )).
% 15.67/15.87 cnf(matrix-605, plain, ( ( collect_fun_nat_bool(_u782) = _u782) )).
% 15.67/15.87 cnf(matrix-606, plain, ( ~is_fun1661590463l_bool(_u783) | ( collec1974731493e_bool(_u783) = _u783) )).
% 15.67/15.87 cnf(matrix-607, plain, ( ~is_fun949378684l_bool(_u784) | ( collect_fun_a_bool(_u784) = _u784) )).
% 15.67/15.87 cnf(matrix-608, plain, ( ( collect_nat(_u785) = _u785) )).
% 15.67/15.87 cnf(matrix-609, plain, ( ~is_a(_u790) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u790), image_pname_a(_u793, _u791))) | is_pname(skolem7(_u790, _u793, _u791)) )).
% 15.67/15.87 cnf(matrix-610, plain, ( ~is_a(_u790) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u790), image_pname_a(_u793, _u791))) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem7(_u790, _u793, _u791)), _u791)) )).
% 15.67/15.87 cnf(matrix-611, plain, ( ~is_a(_u790) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u790), image_pname_a(_u793, _u791))) | ( _u790 = hAPP_pname_a(_u793, skolem7(_u790, _u793, _u791))) )).
% 15.67/15.87 cnf(matrix-612, plain, ( ~is_a(_u790) | ~is_pname(_u787) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u787), _u792)) | ( _u790 != hAPP_pname_a(_u794, _u787)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u790), image_pname_a(_u794, _u792))) )).
% 15.67/15.87 cnf(matrix-613, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u796), _u795)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(_u797, _u796)), image_pname_a(_u797, _u795))) )).
% 15.67/15.87 cnf(matrix-614, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u799), _u798)) | ( _u801 != hAPP_pname_a(_u800, _u799)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u801), image_pname_a(_u800, _u798))) )).
% 15.67/15.87 cnf(matrix-615, plain, ( ( insert_nat(_u803, _u802) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat), _u803)), hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat), _u802)))) )).
% 15.67/15.87 cnf(matrix-616, plain, ( ( insert_pname(_u805, _u804) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname), _u805)), hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname), _u804)))) )).
% 15.67/15.87 cnf(matrix-617, plain, ( ( insert_a(_u807, _u806) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a), _u807)), hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a), _u806)))) )).
% 15.67/15.87 cnf(matrix-618, plain, ( ( insert_fun_nat_bool(_u809, _u808) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool), _u809)), hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool), _u808)))) )).
% 15.67/15.87 cnf(matrix-619, plain, ( ( insert1325755072e_bool(_u811, _u810) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool), _u811)), hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool), _u810)))) )).
% 15.67/15.87 cnf(matrix-620, plain, ( ( insert_fun_a_bool(_u813, _u812) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool), _u813)), hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool), _u812)))) )).
% 15.67/15.87 cnf(matrix-621, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u815), insert_nat(_u814, _u815))) )).
% 15.67/15.87 cnf(matrix-622, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u817), insert_pname(_u816, _u817))) )).
% 15.67/15.87 cnf(matrix-623, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u819), insert_a(_u818, _u819))) )).
% 15.67/15.87 cnf(matrix-624, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_u827, _u825)), _u823)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u827), _u823)) )).
% 15.67/15.87 cnf(matrix-625, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_u827, _u825)), _u823)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u825), _u823)) )).
% 15.67/15.87 cnf(matrix-626, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u828), _u824)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u826), _u824)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_u828, _u826)), _u824)) )).
% 15.67/15.87 cnf(matrix-627, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_u836, _u834)), _u832)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u836), _u832)) )).
% 15.67/15.87 cnf(matrix-628, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_u836, _u834)), _u832)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u834), _u832)) )).
% 15.67/15.87 cnf(matrix-629, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u837), _u833)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u835), _u833)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_u837, _u835)), _u833)) )).
% 15.67/15.87 cnf(matrix-630, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_u845, _u843)), _u841)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u845), _u841)) )).
% 15.67/15.87 cnf(matrix-631, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_u845, _u843)), _u841)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u843), _u841)) )).
% 15.67/15.87 cnf(matrix-632, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u846), _u842)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u844), _u842)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_u846, _u844)), _u842)) )).
% 15.67/15.87 cnf(matrix-633, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u848), _u847)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u847), insert_nat(_u848, _u849))) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u847), _u849)) )).
% 15.67/15.87 cnf(matrix-634, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u848), _u847)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u847), _u849)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u847), insert_nat(_u848, _u849))) )).
% 15.67/15.87 cnf(matrix-635, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u851), _u850)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u850), insert_pname(_u851, _u852))) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u850), _u852)) )).
% 15.67/15.87 cnf(matrix-636, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u851), _u850)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u850), _u852)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u850), insert_pname(_u851, _u852))) )).
% 15.67/15.87 cnf(matrix-637, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u854), _u853)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u853), insert_a(_u854, _u855))) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u853), _u855)) )).
% 15.67/15.87 cnf(matrix-638, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u854), _u853)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u853), _u855)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u853), insert_a(_u854, _u855))) )).
% 15.67/15.87 cnf(matrix-639, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u857), _u856)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u857), insert_nat(_u858, _u856))) )).
% 15.67/15.87 cnf(matrix-640, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u860), _u859)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u860), insert_pname(_u861, _u859))) )).
% 15.67/15.87 cnf(matrix-641, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u863), _u862)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u863), insert_a(_u864, _u862))) )).
% 15.67/15.87 cnf(matrix-642, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u866), _u865)) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_u867, _u866)), insert_nat(_u867, _u865))) )).
% 15.67/15.87 cnf(matrix-643, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u869), _u868)) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_u870, _u869)), insert_pname(_u870, _u868))) )).
% 15.67/15.87 cnf(matrix-644, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u872), _u871)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_u873, _u872)), insert_a(_u873, _u871))) )).
% 15.67/15.87 cnf(matrix-645, plain, ( ( image_pname_a(_u876, insert_pname(_u875, _u874)) = insert_a(hAPP_pname_a(_u876, _u875), image_pname_a(_u876, _u874))) )).
% 15.67/15.87 cnf(matrix-646, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _u878), _u877)) | ( insert_a(hAPP_pname_a(_u879, _u878), image_pname_a(_u879, _u877)) = image_pname_a(_u879, _u877)) )).
% 15.67/15.87 cnf(matrix-647, plain, ( ~is_fun_a_bool(_u884) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u884), image_pname_a(_u887, _u885))) | is_fun_pname_bool(skolem8(_u884, _u887, _u885)) )).
% 15.67/15.87 cnf(matrix-648, plain, ( ~is_fun_a_bool(_u884) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u884), image_pname_a(_u887, _u885))) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, skolem8(_u884, _u887, _u885)), _u885)) )).
% 15.67/15.87 cnf(matrix-649, plain, ( ~is_fun_a_bool(_u884) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u884), image_pname_a(_u887, _u885))) | ( _u884 = image_pname_a(_u887, skolem8(_u884, _u887, _u885))) )).
% 15.67/15.87 cnf(matrix-650, plain, ( ~is_fun_a_bool(_u884) | ~is_fun_pname_bool(_u881) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u881), _u886)) | ( _u884 != image_pname_a(_u888, _u881)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u884), image_pname_a(_u888, _u886))) )).
% 15.67/15.87 cnf(matrix-651, plain, ( ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u890), _u889)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, image_pname_a(_u891, _u890)), image_pname_a(_u891, _u889))) )).
% 15.67/15.87 cnf(matrix-652, plain, ( ~is_a(_u895) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u895), image_pname_a(_u894, _u893))) | is_pname(skolem9(_u895, _u894, _u893)) )).
% 15.67/15.87 cnf(matrix-653, plain, ( ~is_a(_u895) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u895), image_pname_a(_u894, _u893))) | ( _u895 = hAPP_pname_a(_u894, skolem9(_u895, _u894, _u893))) )).
% 15.67/15.87 cnf(matrix-654, plain, ( ~is_a(_u895) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _u895), image_pname_a(_u894, _u893))) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem9(_u895, _u894, _u893)), _u893)) )).
% 15.67/15.87 cnf(matrix-655, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u897), _u898)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, skolem10(_u898, _u897)), _u897)) )).
% 15.67/15.87 cnf(matrix-656, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u897), _u898)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, skolem10(_u898, _u897)), _u898)) )).
% 15.67/15.87 cnf(matrix-657, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u900), _u901)) | is_a(skolem11(_u901, _u900)) )).
% 15.67/15.87 cnf(matrix-658, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u900), _u901)) | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, skolem11(_u901, _u900)), _u900)) )).
% 15.67/15.87 cnf(matrix-659, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u900), _u901)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, skolem11(_u901, _u900)), _u901)) )).
% 15.67/15.87 cnf(matrix-660, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u903), _u904)) | is_pname(skolem12(_u904, _u903)) )).
% 15.67/15.87 cnf(matrix-661, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u903), _u904)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem12(_u904, _u903)), _u903)) )).
% 15.67/15.87 cnf(matrix-662, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u903), _u904)) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem12(_u904, _u903)), _u904)) )).
% 15.67/15.87 cnf(matrix-663, plain, ( ~hBOOL(hAPP_nat_bool(_u907, _u906)) | hBOOL(hAPP_nat_bool(_u907, hAPP_nat_nat(minus_minus_nat(_u906), _u908))) | hBOOL(hAPP_nat_bool(_u907, hAPP_nat_nat(suc, skolem13(_u908, _u907, _u906)))) )).
% 15.67/15.87 cnf(matrix-664, plain, ( ~hBOOL(hAPP_nat_bool(_u907, _u906)) | hBOOL(hAPP_nat_bool(_u907, hAPP_nat_nat(minus_minus_nat(_u906), _u908))) | ~hBOOL(hAPP_nat_bool(_u907, skolem13(_u908, _u907, _u906))) )).
% 15.67/15.87 cnf(matrix-665, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _u911)), _u910)) | ( _u910 = hAPP_nat_nat(suc, skolem14(_u911, _u910))) )).
% 15.67/15.87 cnf(matrix-666, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, image_pname_a(_u915, _u913)), _u914)) | is_pname(skolem15(_u915, _u914, _u913)) )).
% 15.67/15.87 cnf(matrix-667, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, image_pname_a(_u915, _u913)), _u914)) | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, skolem15(_u915, _u914, _u913)), _u913)) )).
% 15.67/15.87 cnf(matrix-668, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, image_pname_a(_u915, _u913)), _u914)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(_u915, skolem15(_u915, _u914, _u913))), _u914)) )).
% 15.67/15.87 cnf(matrix-669, plain, ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _u916), _u916)) )).
% 15.67/15.87 cnf(matrix-670, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _u917), _u917)) )).
% 15.67/15.87 cnf(matrix-671, plain, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u918), _u918)) )).
% 15.67/15.87 cnf(matrix-672, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _u919), _u919)) )).
% 15.67/15.87 cnf(matrix-673, plain, ( ~hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u925)) | ~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _u920), _u925)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _u920), skolem16(_u925))) )).
% 15.67/15.87 cnf(matrix-674, plain, ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u926)) | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, skolem17(_u926, _u923)), _u926)) )).
% 15.67/15.87 cnf(matrix-675, plain, ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _u926)) | ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, skolem17(_u926, _u923)), _u923)) )).
% 15.67/15.87 cnf(matrix-676, plain, ( ~hBOOL(hAPP_bool_bool(fNot, _u927)) | ~hBOOL(_u927) )).
% 15.67/15.87 cnf(matrix-677, plain, ( hBOOL(_u928) | hBOOL(hAPP_bool_bool(fNot, _u928)) )).
% 15.67/15.87 cnf(matrix-678, plain, ( ~hBOOL(_u930) | ~hBOOL(_u929) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj, _u929), _u930)) )).
% 15.67/15.87 cnf(matrix-679, plain, ( hBOOL(_u932) | ~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj, _u932), _u931)) )).
% 15.67/15.87 cnf(matrix-680, plain, ( ~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj, _u934), _u933)) | hBOOL(_u933) )).
% 15.67/15.87 cnf(matrix-681, plain, ( ~hBOOL(_u935) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj, _u935), _u936)) )).
% 15.67/15.87 cnf(matrix-682, plain, ( ~hBOOL(_u937) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj, _u938), _u937)) )).
% 15.67/15.87 cnf(matrix-683, plain, ( hBOOL(_u940) | ~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj, _u940), _u939)) | hBOOL(_u939) )).
% 15.67/15.87 cnf(matrix-684, plain, ( hBOOL(_u941) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies, _u941), _u942)) )).
% 15.67/15.87 cnf(matrix-685, plain, ( ~hBOOL(_u943) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies, _u944), _u943)) )).
% 15.67/15.87 cnf(matrix-686, plain, ( ~hBOOL(_u946) | ~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies, _u946), _u945)) | hBOOL(_u945) )).
% 15.67/15.87 cnf(matrix-687, plain, ( ~is_a(_u948) | ~is_a(_u947) | ~hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a, _u948), _u947)) | ( _u948 = _u947) )).
% 15.67/15.87 cnf(matrix-688, plain, ( ( _u950 != _u949) | hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a, _u950), _u949)) )).
% 15.67/15.87 cnf(matrix-689, plain, ( ~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat, _u952), _u951)) | ( _u952 = _u951) )).
% 15.67/15.87 cnf(matrix-690, plain, ( ( _u954 != _u953) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat, _u954), _u953)) )).
% 15.67/15.87 cnf(matrix-691, plain, ( ~is_pname(_u956) | ~is_pname(_u955) | ~hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname, _u956), _u955)) | ( _u956 = _u955) )).
% 15.67/15.87 cnf(matrix-692, plain, ( ( _u958 != _u957) | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname, _u958), _u957)) )).
% 15.67/15.87 cnf(matrix-693, plain, ( ( hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(_u961), _u960), _u959) = hAPP_a_bool(hAPP_a_fun_a_bool(_u961, _u959), _u960)) )).
% 15.67/15.87 cnf(matrix-694, plain, ( ~is_fun_a_bool(_u963) | ~is_fun_a_bool(_u962) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool, _u963), _u962)) | ( _u963 = _u962) )).
% 15.67/15.87 cnf(matrix-695, plain, ( ( _u965 != _u964) | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool, _u965), _u964)) )).
% 15.67/15.87 cnf(matrix-696, plain, ( ( hAPP_a_bool(cOMBB_bool_bool_a(_u968, _u967), _u966) = hAPP_bool_bool(_u968, hAPP_a_bool(_u967, _u966))) )).
% 15.67/15.87 cnf(matrix-697, plain, ( ( hAPP_a_bool(cOMBS_a_bool_bool(_u971, _u970), _u969) = hAPP_bool_bool(hAPP_a_fun_bool_bool(_u971, _u969), hAPP_a_bool(_u970, _u969))) )).
% 15.67/15.87 cnf(matrix-698, plain, ( ( hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(_u974), _u973), _u972) = hAPP_a_bool(hAPP_p1534023578a_bool(_u974, _u972), _u973)) )).
% 15.67/15.87 cnf(matrix-699, plain, ( ~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool, _u976), _u975)) | ( _u976 = _u975) )).
% 15.67/15.87 cnf(matrix-700, plain, ( ( _u978 != _u977) | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool, _u978), _u977)) )).
% 15.67/15.87 cnf(matrix-701, plain, ( ~is_fun_pname_bool(_u980) | ~is_fun_pname_bool(_u979) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool, _u980), _u979)) | ( _u980 = _u979) )).
% 15.67/15.87 cnf(matrix-702, plain, ( ( _u982 != _u981) | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool, _u982), _u981)) )).
% 15.67/15.87 cnf(matrix-703, plain, ( ( hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(_u985), _u984), _u983) = hAPP_nat_bool(hAPP_n1699378549t_bool(_u985, _u983), _u984)) )).
% 15.67/15.87 cnf(matrix-704, plain, ( ( hAPP_nat_bool(cOMBB_bool_bool_nat(_u988, _u987), _u986) = hAPP_bool_bool(_u988, hAPP_nat_bool(_u987, _u986))) )).
% 15.67/15.87 cnf(matrix-705, plain, ( ( hAPP_nat_bool(cOMBS_nat_bool_bool(_u991, _u990), _u989) = hAPP_bool_bool(hAPP_n1006566506l_bool(_u991, _u989), hAPP_nat_bool(_u990, _u989))) )).
% 15.67/15.87 cnf(matrix-706, plain, ( ( hAPP_pname_bool(cOMBB_647938656_pname(_u994, _u993), _u992) = hAPP_bool_bool(_u994, hAPP_pname_bool(_u993, _u992))) )).
% 15.67/15.87 cnf(matrix-707, plain, ( ( hAPP_pname_bool(cOMBS_568398431l_bool(_u997, _u996), _u995) = hAPP_bool_bool(hAPP_p393069232l_bool(_u997, _u995), hAPP_pname_bool(_u996, _u995))) )).
% 15.67/15.87 cnf(matrix-708, plain, ( ( hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(_u1000), _u999), _u998) = hAPP_pname_bool(hAPP_p61793385e_bool(_u1000, _u998), _u999)) )).
% 15.67/15.87 cnf(matrix-709, plain, ( ( hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(_u1003), _u1002), _u1001) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(_u1003, _u1001), _u1002)) )).
% 15.67/15.87 cnf(matrix-710, plain, ( ( hAPP_p1534023578a_bool(cOMBB_1897541054_pname(_u1006, _u1005), _u1004) = hAPP_a_fun_a_bool(_u1006, hAPP_pname_a(_u1005, _u1004))) )).
% 15.67/15.87 cnf(matrix-711, plain, ( ( hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(_u1009, _u1008), _u1007) = hAPP_bool_bool(_u1009, hAPP_fun_a_bool_bool(_u1008, _u1007))) )).
% 15.67/15.87 cnf(matrix-712, plain, ( ( hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(_u1012, _u1011), _u1010) = hAPP_b589554111l_bool(_u1012, hAPP_a_bool(_u1011, _u1010))) )).
% 15.67/15.87 cnf(matrix-713, plain, ( ( hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(_u1015, _u1014), _u1013) = hAPP_bool_bool(hAPP_f198738859l_bool(_u1015, _u1013), hAPP_fun_a_bool_bool(_u1014, _u1013))) )).
% 15.67/15.87 cnf(matrix-714, plain, ( ( hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(_u1018), _u1017), _u1016) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(_u1018, _u1016), _u1017)) )).
% 15.67/15.87 cnf(matrix-715, plain, ( ( hAPP_f54304608l_bool(cOMBB_238756964t_bool(_u1021, _u1020), _u1019) = hAPP_bool_bool(_u1021, hAPP_f54304608l_bool(_u1020, _u1019))) )).
% 15.67/15.87 cnf(matrix-716, plain, ( ( hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(_u1024, _u1023), _u1022) = hAPP_b589554111l_bool(_u1024, hAPP_nat_bool(_u1023, _u1022))) )).
% 15.67/15.87 cnf(matrix-717, plain, ( ( hAPP_f54304608l_bool(cOMBS_1187019125l_bool(_u1027, _u1026), _u1025) = hAPP_bool_bool(hAPP_f1748468828l_bool(_u1027, _u1025), hAPP_f54304608l_bool(_u1026, _u1025))) )).
% 15.67/15.87 cnf(matrix-718, plain, ( ( hAPP_f1664156314l_bool(cOMBB_307249310e_bool(_u1030, _u1029), _u1028) = hAPP_bool_bool(_u1030, hAPP_f1664156314l_bool(_u1029, _u1028))) )).
% 15.67/15.87 cnf(matrix-719, plain, ( ( hAPP_p393069232l_bool(cOMBB_675860798_pname(_u1033, _u1032), _u1031) = hAPP_b589554111l_bool(_u1033, hAPP_pname_bool(_u1032, _u1031))) )).
% 15.67/15.87 cnf(matrix-720, plain, ( ( hAPP_f1664156314l_bool(cOMBS_350070575l_bool(_u1036, _u1035), _u1034) = hAPP_bool_bool(hAPP_f1476298914l_bool(_u1036, _u1034), hAPP_f1664156314l_bool(_u1035, _u1034))) )).
% 15.67/15.87 cnf(matrix-721, plain, ( ( hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(_u1039), _u1038), _u1037) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(_u1039, _u1037), _u1038)) )).
% 15.67/15.87 cnf(matrix-722, plain, ( ( hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(_u1042), _u1041), _u1040) = hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(_u1042, _u1040), _u1041)) )).
% 15.67/15.87 cnf(matrix-723, plain, ( ( hAPP_f198738859l_bool(cOMBB_338059395a_bool(_u1045, _u1044), _u1043) = hAPP_b589554111l_bool(_u1045, hAPP_fun_a_bool_bool(_u1044, _u1043))) )).
% 15.67/15.87 cnf(matrix-724, plain, ( ( hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(_u1048), _u1047), _u1046) = hAPP_f54304608l_bool(hAPP_f103356543l_bool(_u1048, _u1046), _u1047)) )).
% 15.67/15.87 cnf(matrix-725, plain, ( ( hAPP_f1748468828l_bool(cOMBB_444170502t_bool(_u1051, _u1050), _u1049) = hAPP_b589554111l_bool(_u1051, hAPP_f54304608l_bool(_u1050, _u1049))) )).
% 15.67/15.87 cnf(matrix-726, plain, ( ( hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(_u1054, _u1053), _u1052) = hAPP_b589554111l_bool(_u1054, hAPP_f1664156314l_bool(_u1053, _u1052))) )).
% 15.67/15.87 cnf(matrix-727, plain, ( ( hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(_u1057), _u1056), _u1055) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(_u1057, _u1055), _u1056)) )).
% 15.67/15.87 cnf(matrix-728, plain, ( ( hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(_u1060), _u1059), _u1058) = hAPP_f621171935l_bool(hAPP_f285962445l_bool(_u1060, _u1058), _u1059)) )).
% 15.67/15.87 cnf(matrix-729, plain, ( ( hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(_u1063), _u1062), _u1061) = hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(_u1063, _u1061), _u1062)) )).
% 15.67/15.87 cnf(matrix-730, plain, ( ( hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(_u1066), _u1065), _u1064) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(_u1066, _u1064), _u1065)) )).
% 15.67/15.87 cnf(matrix-731, plain, ( ( hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(_u1069), _u1068), _u1067) = hAPP_f621171935l_bool(hAPP_f1434722111l_bool(_u1069, _u1067), _u1068)) )).
% 15.67/15.87 cnf(matrix-732, plain, ( ( hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(_u1072), _u1071), _u1070) = hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(_u1072, _u1070), _u1071)) )).
% 15.67/15.87 cnf(matrix-733, plain, ( ( hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(_u1075), _u1074), _u1073) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(_u1075, _u1073), _u1074)) )).
% 15.67/15.87 cnf(matrix-734, plain, ( ( hAPP_f292226953l_bool(hAPP_f1050622307l_bool(cOMBC_636888218l_bool(_u1078), _u1077), _u1076) = hAPP_f292226953l_bool(hAPP_f1050622307l_bool(_u1078, _u1076), _u1077)) )).
% 15.67/15.87 cnf(matrix-735, plain, ( ( hAPP_f937997336l_bool(hAPP_f760187903l_bool(cOMBC_1269652216l_bool(_u1081), _u1080), _u1079) = hAPP_f937997336l_bool(hAPP_f760187903l_bool(_u1081, _u1079), _u1080)) )).
% 15.67/15.87 cnf(matrix-736, plain, ( ( hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(_u1084), _u1083), _u1082) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(_u1084, _u1082), _u1083)) )).
% 15.67/15.87 cnf(matrix-737, plain, ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, u)) )).
% 15.67/15.87 cnf(matrix-738, plain, ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), image_pname_a(mgt_call, u))) )).
% 15.67/15.87 cnf(matrix-739, plain, ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, na)), hAPP_fun_a_bool_nat(finite_card_a, image_pname_a(mgt_call, u)))) )).
% 15.67/15.87 cnf(matrix-740, plain, ( ( hAPP_fun_a_bool_nat(finite_card_a, g) = hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a, image_pname_a(mgt_call, u))), hAPP_nat_nat(suc, na))) )).
% 15.67/15.87 cnf(matrix-741, plain, ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, pn), u)) )).
% 15.67/15.87 cnf(matrix-742, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(mgt_call, pn)), g)) )).
% 15.67/15.87 cnf(matrix-743, plain, ( ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(hAPP_pname_a(mgt_call, pn), g)), image_pname_a(mgt_call, u))) )).
% 15.67/15.87
% 15.67/15.87 % Proof stack:
% 15.67/15.87 cnf(proof-stack, plain,
% 15.67/15.87 proof_stack(
% 15.67/15.87 start(743),
% 15.67/15.87 left_branch(0, 632, 2, 2),
% 15.67/15.87 left_branch(0, 614, 2, 3),
% 15.67/15.87 left_branch(0, 741, 0, 4),
% 15.67/15.87 right_branch(4),
% 15.67/15.87 left_branch(0, 0, 0, 5),
% 15.67/15.87 right_branch(5),
% 15.67/15.87 right_branch(3),
% 15.67/15.87 left_branch(0, 738, 0, 4),
% 15.67/15.87 right_branch(4),
% 15.67/15.87 right_branch(2)
% 15.67/15.87 )).
% 15.67/15.87 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------